Misconceptions
Misconceptions
Misconceptions
Christopher Horton
Worcester, MA 01602
with other members of the
Modeling Instruction in High School Chemistry Action Research Teams
at Arizona State University: June 2001, August 2002 and August 2004
∞
“Chemical equations ... it took me ages to pick it up as I found it quite confusing ...
but having been taught by a teacher one way I tend to relate to it in the same way
but in my own thinking ... in an exam I would probably get it wrong. You see when
we are told to swot for a test we have to go swot in our book all the stuff the
teacher’s way ... we go home and we try to learn that ... but as soon as it hits our
eyes it goes in our brain and it goes out the other way ... and so when we come to
write it down and we think ... and we write it down all our way ... because of course
it still means the same thing ... there is no difference ... but to the teacher there is a
distinct difference between our way and the teacher’s way ... and the teacher’s way
is the right way ... that’s what I find so hard.”
15-year-old science pupil in New Zealand, in Osborne and Freyberg (1985).
∞
Learning is an active process, and what students do with facts and ideas with which they have
been presented depends to a very high degree on what they already think and believe. Being
able to recognize and work with these student-held ideas and conceptions is thus a key
component of an effective educational strategy. Mulford and Robinson (2002) expressed the
problem thus:
Alternative conceptions play a larger role in learning chemistry than simply producing
inadequate explanations to questions. Students either consciously or subconsciously
construct their concepts as explanations for the behavior, properties or theories they
experience. They believe most of these explanations are correct because these
explanations make sense in terms of their understanding of the behavior of the world
around them. Consequently if students encounter new information that contradicts
their alternative conceptions it may be difficult for them to accept the new information
because it seems wrong. The anomalies do not fit their expectations. Under these
conditions the new information may … be ignored, rejected, disbelieved, deemed
irrelevant to the current issue, held for consideration at a later time, reinterpreted in
light of the student’s current theories, or accepted [while only making] minor changes
in the student’s [previously held] concept. Occasionally anomalous information could
be accepted and the alternate conception revised.
Foreword 1
Table of Contents 2
Introduction 4
Discussion
Alternative conceptions – the problem: 6
Nature and origins of alternative conceptions in chemistry 7
The search for key or central alternative conceptions 11
Implications for teaching. 13
Organizing the common chemistry alternative conceptions 14
Rating the alternative conceptions 15
Recommendations 16
Acknowledgments 18
B. Basic Chemistry 42
3
B.1 Atoms (See also E.1: Atomic structure) 42
B.2. Molecules 43
B.3 Atomic scale and Stoichiometry 44
B.4 Phase changes 45
B.5 Dissolution, solutions, precipitation 47
B.6 Chemical reactions 48
B.6.1 What is a chemical reaction?
B.6.2 What causes a chemical reaction?
B.6.3 Conservation of matter in reactions
B.6.4 Energy in chemical reactions (See also A.10: Energy)
B.6.5 Reaction dynamics.
B.6.6 Reversibility of chemical reactions
B.6.7 Chemical equilibrium
B.7 Combustion 54
B.8 Acid-base reactions 55
B.9 Oxidation, reduction and oxidation states 56
D: Thermodynamics 58
Appendix 3: References 67
4
Contact Information 78
Introduction
There has been controversy over whether to refer to student conceptions that aren’t in accord
with those held by scientists as "preconceptions" or "misconceptions". "Misconceptions"
seems excessively judgmental in view of the tentative nature of science and the fact that many
of these conceptions have been useful to the students in the past. "Preconceptions" glosses
over the fact that many of these conceptions arise during the course of instruction. Use of the
expression "student alternative conceptions" was finally agreed upon.
The following review of the literature on student alternative conceptions in chemistry, and the
compilation that came from it, was begun by participants in the Summer, 2001 Integrated
Chemistry and Physics course at Arizona State University, who, on their own initiative,
organized an action research team to begin the design of a new chemistry curriculum. Work
on it continued during the 2002 and 2004 summer meetings of the Modeling Instruction in
Chemistry action research teams and their consultants.
The Modeling Instruction in Chemistry action research team members were largely high
school teachers who had been influenced by the Modeling Instruction in Physics workshops
(Wells, et al., 1995). The Modeling Method of Physics Instruction (described at
http://modeling.asu.edu ) focuses on scientific models as central units of knowledge. The
original modeling program, for first-semester physics, was motivated by the role that major
student alternative conceptions play in blocking understanding of Newtonian mechanics. The
program uses a patient guided-inquiry approach to leading students into confrontations with
the results of experiment, getting them to articulate their thinking, and managing the student
discourse as they argue their way to a new interpretation. Dramatically higher levels of
success have been achieved in this phase of physics instruction. A key feature of this program
is use of research-validated concept tests such as the Force Concept Inventory (Hestenes et
al., 1992) to measure student conceptual change during the course of instruction.
In recent years, high school, college and university teachers involved with modeling
instruction in physics have been working to apply these insights and methods to other content
areas of physics (e.g. Swackhamer, 2001), to AP physics instruction, to middle school and
high school physical science instruction, and now to chemistry instruction.
Among the purposes for studying and cataloging student alternative conceptions in chemistry
as part of a project to design a new curriculum were the following:
2. Teachers and curriculum designers need to be aware that instruction can actually foster
misconceptions that are later problematic and difficult or impossible to erase. This
knowledge may lead to different choices in how initially to teach topics.
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3. Understanding student conceptions is essential for designing effective questions and
“distracters” for concept evaluation instruments and tests in chemistry and physical
science (e.g. Yeo et al. (2001).)
If it is true – and we believe it is - that students must construct their own understanding, and
must build new understanding out of the conceptions that they already possess, then it is
inescapable that students will need to draw on their “alternative conceptions” for pieces that
they can rearrange and reuse to form new concepts. Identifying the concepts the students
possess contributes to the search for “bridging” concepts. These are concepts initially
accepted by students which are close enough to scientifically accepted ideas to be useful in
transitioning to the use of the latter, as proposed by Clement (1982) and de Vos (1987). An
example of this might be Linn and Songer’s use of a heat-flow model similar to the “caloric”
theory, but stressing that heat lacks mass, for working with middle-school students. (Linn
(1991))
Beneath the expressed student alternative conceptions may lie a set of what Halloun and
Hestenes (1985b) call "commonsense concepts", which students may not even be able to
articulate. Andrea diSessa has proposed that students can be seen as possessing a large set of
phenomenological primitives or p-prisms (diSessa (1983,1993)), a “rich system of elements
that are organized only in limited degree …. relatively simple and usually abstracted from
common experiences. For example, ‘people expect that greater effort is accompanied by
greater results.’” (diSessa and Sherin (1998) p.1177). Other examples include “closer is
stronger”, and “maintaining agency”, meaning a continuing cause that maintains motion.
(Hammer (1996)) It is proposed that that these p-prisms are never discarded but are
rearranged to form new concepts. That level of analysis is beyond this work, but may help
explain the observation that groups of students holding alternative conceptions and struggling
with discrepant facts can – with guidance and some appropriate questioning - discuss their
way into a very different and stable conception.
It can be argued with justification that reducing the cited literature to a list of misconceptions
strips away much of its value. Teachers and researchers would be well served to find and
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read the sources. For example, Rozier et al. (1991) in a study of student reasoning in
thermodynamics, involving 2000 students and 29 teachers at the University of Paris, explored
the following: student difficulties in thinking about situations involving three variables; their
difficulty in following their own chain of reasoning in the reverse direction; their appeal to
sequential intermediate states to justify their reasoning; and their willingness to consider that
systems will obey different laws during a transition between states. Out of this insightful and
thought-provoking work I have lifted for this list such student alternative conceptions as I was
able to express in one or two sentences.
.
Case studies following small numbers of students were not included in this list due to the
small sample size. They can offer great insight into student alternative conceptions and how
they can evolve over time in response to instruction. For example, Greenbowe and Meltzer
(2001) analyze in depth over the course of six weeks the progress of one “typical” student's
thinking about calorimetry, looking at the processes of concept formation and maintenance,
laying bare the structure of her ideas and the uneven and multi-step process by which she
moved from one set of ideas to another.
Bodner (1991, 1992) and Birk (1999) document the persistence of elementary alternative
conceptions into graduate school. Bodner (1991) reported that fully 30% of entering graduate
students in chemistry, considering the bubbles in water that had been boiling for over an hour,
failed to identify them as consisting of water vapor, and 20% indicated that they contained air
and/or oxygen. None was able to correctly describe the reaction of sodium metal with
chlorine gas to form Na+Cl- and most held views greatly at variance with what they had been
taught. Among his comments: “The research being done to identify the concepts build during
their first exposure to chemistry is important … because the misconcepts they build are so
resistant to instruction that a significant fraction of the population even after [900 hours of
laboratory and lectures continues to hold them]”
Lewis et al. (1994, 1996) studied alternative conceptions in thermodynamics in 8th graders,
secondary students, college students and a group of "experts" holding advanced degrees in
various sciences. They found all held similar misconceptions about the natural world. Only
among those with Ph.D.s was the incidence of misconceptions significantly lower.
These preconceptions form the mental framework, the scaffolding, on which students build all
subsequent knowledge. New information and ideas which students receive are reinterpreted
and rearranged to fit within this scaffolding. Many authors have commented on how clear
students are during exit interviews that their answers make sense and are right, even while
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recognizing sometimes that they don't agree with current scientific thought. Students often
acquire a significant ability to solve problems in chemistry courses without understanding the
principles the problems were intended to teach. Given that these conceptions exist as actual
physical pathways laid down in the brain, and given that the cognitive architecture of the
brain, once laid down, cannot be expunged but only overlaid with new paths, it is not
surprising that it should be very difficult for students to move beyond them to the
scientifically accepted concepts. Students instead graft new knowledge onto a conceptually
faulty base.
For example, Nurenburn and Pickering (1987, reported in Mulford (1996)), found that of a
selected group of college students who were all successful at solving algorithmic questions,
many had a very low understanding of the chemistry involved. Lythcott (1990, reported in
Mulford (1996)) found that of a group of high school students who were able to balance an
equation, most could not draw a diagram of what was happening. Peterson and Treagust
(1989) found that of a group of secondary school students, 74% were unable to answer
conceptual questions about electron repulsion in valence shells, but 78% were able to
successfully answer test questions designed to test this understanding. Similarly Yarroch
(1985) found that of "A and B level" high school chemistry students virtually all could
balance the equation
H2 + N2 -> NH3
but half could not draw a correct molecular diagram to explain this result.
Marilia Thomaz et al. (1995), L. Lewis et al. (1994) and Clough and Driver (1985) focus on
students' concepts about heat and temperature. Clough and Driver (1985) find the whole
subject of student preconceptions on this topic to be a "steaming swamp", a morass of wrong
and contradictory ideas that are not worth struggling with. They argue for ignoring
preconceptions and focusing on building a new coherent structure. Thomaz et al. argue that
this has been proven to be ineffective and that to be able to affect student thinking, teachers
“need to go into that swamp” and work with student preconceptions.
Hesse and Anderson (1992) and Tabor (1998) point to the strong preference of most of their
subjects for common-sense reasoning, everyday analogies, visible effects and changes, and
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common (non-scientific) word usage. They observed that students actively rejected the use of
scientific vocabulary ("fancy scientific words") in favor of colloquial speech, which led the
students into many misunderstandings. They called for teachers to lead students in careful
examination of the limits of analogies and metaphors. They predict that some classes of
preconceptions will be culturally specific, a product of the analogies and metaphors common
in particular cultures or built into particular languages, rather than being universal.
Along this line, Schmidt (1997) discusses how misconceptions form a meaningful and
coherent alternative framework in students' minds, which is very robust and difficult to
change. He then focuses on the role of everyday meanings of words in fostering
misconceptions. He traces some of these misuses of words--for example “oxidation” -- to the
way they were historically used in chemistry.
Nakhleh (1992) points out that “words such as ‘atom’ and ‘neutralization’ are actually labels
that stand for elaborate cognitive structures stored in the brain … sensible and coherent
understandings of the events and phenomena in their world from their own point of view.”
These cognitive structures are not dictionary definitions; they have visual components and
many of the investigators reviewed used student drawings (or sculptures!) to explore them.
DiSessa (2004) points out that these often appear to be organized in the students’ minds as
stories that unfold as the students sketch and explain their ideas.
Tabor (1997) points to anthropomorphic thinking in students' (and teachers’) reasoning about
the behavior of electrons in chemical interactions. It was also observed in students' reasoning
about chemical reactions. What electrons "want" to do is used as a primitive force concept.
(Many teachers and researchers, myself included, still reason this way sometimes, a cause for
reflection.)
Harrison and Treagust (1996) classified the kinds of models that can be built of a physical
phenomenon, and then observed how students used various models and types of model to
build a picture of the phenomenon. They deduced that none of the 48 students completing a
chemistry course had come to understand that the models they were using were only models,
which "... served the development and testing of ideas, not the depiction of reality." Only one
of the 48 seemed to even be "on the verge of achieving this understanding." The authors call
for teachers to lead their students in a thorough study of the process of model construction and
to an understanding of the limitations of the models so constructed.
Many authors observed that the ways in which students confuse models and images with
reality and the ways in which concepts learned (or misunderstood) in earlier grades form the
framework for later misconceptions. For example, Harrison et al. (1996) discuss at length the
model of the atom as being like a living cell with a nucleus that divides, a model which a
significant minority of students use as their framework for understanding chemistry
throughout their school careers. This can have serious consequences. D. Cros, et al. (1986)
noted that university students who used the Bohr model to describe an atom failed to move
beyond this picture, and this apparently stunted their development as chemists, causing their
understanding of interactions between subatomic particles to fail to grow.
Kmel et al. (1998) points to a " ... hierarchy of increasing cognitive demand [in describing
chemical processes:]
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1. Disappearance
2. Displacement
3. Modification
4. Transmutation
5. Chemical reaction (interaction)."
They observe the gradual progress of students from age 8 through 18 in moving up this
hierarchy, which is also a movement away from a "model of matter which is homogeneous,
static and continuous."
With some phenomena, nearly all students come to the learning process with one version or
another of the same dominant set of preconceptions. The force concept is a classic example
of this; see for example Clement (1983), Halloun and Hestenes (1985a and 1985b) and
McClosky (1983). With other phenomena, there was no dominant student alternative
conception, but rather a whole spectrum of ideas.
Some alternative conceptions are held by non-chemists and may be learned from textbooks in
other subjects. For example, "Breaking chemical bonds releases energy." Of a group of high
school chemistry students, 48% claimed this (Cachapuz (1987); see also Barker (1985) in
Kind (2004) p.64). The role of energy in chemical bonding is a most fundamental issue. The
concept of bonds storing energy has an intuitive appeal, makes the story of chemical energy
much easier to tell, and is widely used even by biologists.
Many alternative conceptions may be generated by students as they grapple with information
and models presented in school which they are unprepared to imagine or understand.
R. Stavy (1988) followed a cohort of students, and observed that while they were taught
atomic theory repeatedly in 4th through 7th grades, when questioned about physical
phenomena in 8th grade they still made no reference to atomic theory in their explanations.
Only in grade 9, beginning with explanations about gasses, did they start to refer to it. From
this, he questions the efficacy of teaching atomic theory before students have fully explored
the nature of matter at a macroscopic level. However, Gabel reminds us (Gabel et al., 1987)
that we must live with the reality that “the microscopic level is depicted at the elementary
level,” so that as a practical matter teachers cannot avoid the atomic theory.
The difficulty here may be that students have difficulty believing in something they cannot
see. The student must “overcome immediate perceptions which lead him to a continuous
static view of the structure of matter. … Internalizing the model [adopted by scientists]
requires overcoming basic cognitive difficulties of both a conceptual and a perceptual nature.”
(Novick and Nussbaum, 1981, quoted by Kind, 2004, p.9.)
Writing in 1999, Dorothy Gabel refers to "three levels of expressing matter ... macro, sub-
micro (particle models) and symbolic (chemical notation)." She observes that "chemistry
instruction occurs predominantly on the most abstract level, the symbolic level", and she
presents evidence that this is ineffective.
Erickson (1985, reported in Viennot (1998)) argues that early introduction of the molecular
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model is unavoidable. Referring to the persistence of students' misconceptions about
vaporization, he wrote, "The understanding would seem to require some explanation of what
is happening to the liquid at the molecular level in order for temperature invariance to make
sense."
There is ample evidence that the particle model is difficult for students to grasp, and, whether
it is introduced early or later, there is no doubt that it must be fully mastered at the high
school level for students to be fully successful in chemistry. Kind (2004) proposes that the
ability to distinguish between elements, compounds and mixtures based on the particle model
of matter may largely determine which students can continue with chemistry after age 16.
She reports that “about 43% could define ‘element’ and ‘compound’ correctly at the start of a
post-16 course and that this figure remained unchanged at the end.” (!) (Barker (1995), in
Kind (2004) p.23.) Clearly this is a key conceptual problem and one that poses a major
challenge to teachers. Kind proposes a “bridging exercise” of having students observe
progressively smaller unseen things, such as insect details, bacteria and viruses, as a way of
establishing the reality of the realm of things too small to see, followed by engaging the
students in a process of imagining atoms. (Kind, 2004, p.13)
Hong Kwen Boo (1998) emphasizes that students have a difficult time understanding the
abstract concept of energy, and urges that more emphasis be given to the concept of the
"driving force involving the concept of free energy/entropy," and to the difficulty students
have in bridging the gap between “perceptual thinking” and the use of "concepts about
particles and their interactions." "Students [failed to] understand the nature of science as a
process of construction of predictive conceptual models ... and the nature of scientific
concepts and principles ... [i.e.] their applicability across the entire range of [chemical]
phenomena." Ricardo Trumper (1993) on the other hand argues that "we can start teaching
students about energy in about the 5th grade, since they have good cognitive building blocks
associated with a good energy concept."
Viennant (1993a), considering student reasoning about heat transfer along a rod, observed that
when more than one factor was considered the students would use sequential reasoning –
ordered in time. Driver (1985), Anderson (1986) and Guiterrez and Ogborn (1992) (all
reported in Viennot (1998)), Sere (1987), and Mehent (1997) all observed pa reluctance of
students at all levels to consider more than one cause for an effect. This shows up as extreme
difficulty in working with three-variable relationships such as the ideal gas law. The students
would either disregard one variable, or if dealing with two at a time they would imagine them
as operating sequentially in time, in what Rozier (1991) calls "linear causal reasoning." This
way of thinking, he reported, was "extremely resistant to instruction." It conditioned students
to cling to alternate conceptions that require only linear or one-step reasoning.
Another key difficulty students face is the problem of imagining “nothing”. Many writers
(e.g. Griffiths 1992, Novick and Nussbaum 1978) have noted that many students cannot
imagine “nothing” between atoms or molecules, and either deny that they can be far apart in a
gas or propose a variety of possible substances to fill the spaces. This is even true of many
university science students. (Benson et al. (1993), in Kind (2004)) As Kind (p.11) puts it:
Students of all ages find space difficult to imagine and intuitively “fill” it with
something. Since students depend on visible, sensory information about solids and
liquids to develop their naïve view of matter, their difficulty accepting a model proposing
11
that there is “nothing” in the spaces between particles is unsurprising.
Difficulty imagining “reversibility” is another stumbling block for students, who come up
with many alternative explanations to work around their lack of understanding. Many
students fail to see state changes, dissolution and other physical changes as reversible. For
example Gensler (1970, in Kind (2004) p.25) observes that students fail to see that re-
crystallized sugar is the same stuff which was added to the water originally. This contributes
to the students’ difficulty in distinguishing physical from chemical changes. The reversibility
of chemical reactions also poses serious conceptual challenges to the students, leading to an
inability for example to grasp the reciprocal relationship between acids and bases and the
concept of an equilibrium. This to be sure must come in part from the inability to see that
“something is happening” at equilibrium when no visible change is occurring, but students in
very high numbers in upper grade classes also view the forward and reverse reactions as two
separate reactions. (Johnstone et al., 2007) At a still deeper level, inability to grasp
reversibility may be related to student difficulties in general with picturing two things going
on at once.
Viennot (1998) notes that students generally confuse rates of reaction and rates of change
with final states. This may underlie many alternative conceptions, such as the belief he
uncovered that since iron heats faster than sand, it will reach a higher temperature. He
suggests that students require two additional essential thinking skills that are “opposed to the
common threads of their everyday reasoning:”
1. They must be able to identify the relevant systems as well as their essential characteristics
in order to predict transfers of heat.
2. They must be able to clearly sort out what concerns changes on the one hand, and
permanent states on the other.
The ability to distinguish between a state and a rate of change can be seen as an underlying or
fundamental mathematical ability. Other capabilities whose absence might also block
students' ability to grasp chemistry concepts include division, ratio and proportional
reasoning, direct and inverse variation, probability, randomness, large and small numbers, and
exponential growth. Many alternative conceptions no doubt are developed by students to
cope with concepts that are beyond their reach because of such difficulties.
Thomaz et al. (1995), working with groups of secondary students in the UK, reported that
92% to 97% of the students " ... revealed a great difficulty in accepting that different objects
are at the same temperature when in contact with the surroundings for a long time." They
focused on this as the core concept in their highly successful project using constructivist
methods to teach thermodynamics.
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L. Viennot (1997), E. Clough and R. Driver (1985), and J. Solomon (1985) outline the
varieties of student misunderstandings about energy. Solomon discusses how the ways in
which teachers word their explanations of energy generate new misconceptions.
C. Gayford (1986) and Solomon (1985) outline the ways students confuse energy with the
"life force" in biological systems. (This could perhaps be the result of or at least reinforced
by using the concept of energy in biology before having properly studied it in physics or
physical science.) Kruger (1990) found the same confusion about energy among primary
school teachers.
deVos, et al. (1994) identify the key concepts in chemistry as being the "chemical substance"
and the "chemical reaction". To them the key difficulty faced by students was "the
incoherence and incompleteness of all chemistry curricula studied," and they document many
misconceptions that result. They call for a "chemistry curriculum that will lead students on a
quest for the hidden factors that determine chemical change and the creation of new
substances," with a minimum of imposed definitions and explanations.
Mary Nakhleh (1992) identifies the central misconception of chemistry as being that matter is
a continuous medium that is static and space filling.
Arons (1997) identifies the idea that "something (electricity, charge or energy) is used up in
electric circuits" as the key misconception on this subject.
Hestenes, Wells and Swackhamer (1992) identify three major "commonsense beliefs" about
force: moving objects contain a certain amount of force, force causes motion (force is
proportional to velocity) and force is dominance (larger, more “powerful” objects exert more
force on smaller and “less powerful” objects than the latter do on the former.) These
alternative conceptions may well appear in chemistry as analogies, such as the belief that
chemical reactions have "inertia" which will carry them beyond equilibrium (Kesidou 1997),
that water requires force to carry it upward in evaporation (Schmidt 1997), the surprisingly
widespread belief that atoms are alive (Griffiths,1992), and the common belief that chemical
reactions involve an active reagent acting on a passive one (Brosnan,1992).
Kokotas, Vlachos and Kardaidis (1998) and Tabor (1997, 1999) observe that many
misconceptions have primitive concepts underlying them such as "conservation of force".
This and other such primitive concepts do not appear to be something the students have been
taught. Tabor identifies the fundamental student belief underlying their many misconceptions
about electrical forces within the atom as being that "force is conserved", that there is a
certain amount of force available to be shared between the available particle pairs. Here it is
the Coulomb force that is not understood or applied, but the alternative conception being used
is that a charged body contains a certain amount of force. Thus oppositely charged ions will
“use up each others' force” and lock together into a molecule.
Kokotas et al. (1998) suggest that more recently acquired alternative conceptions will be
found to have been grafted onto a foundation of more primitive and intuitive preconceptions,
such as the view that heat has weight. McCloskey (1983) carries this further with an
examination of the similarity of student preconceptions in mechanics to the pre-Newtonian
conceptions of Aristotle and of medieval Europe, and suggests that people may naturally
come to these views because they are in some way “hard-wired” into us.
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Are acquired alternative conceptions really less difficult to deal with and less damaging than
older or more fundamental ones? Kind (2004, p.74) argues that they must be taken very
seriously, recent or old. Tabor (1997) noted “that students never seem to dismantle old ideas
about chemical bonding, but instead prefer to add new thinking…. Of course for many
students this results in confusion and poor understanding.” Kind adds, “if students cannot
‘unlearn’ ideas, then we should teach chemistry we really mean them to know right from the
beginning.” This injunction should be carefully weighed when evaluating the use of a
“bridging exercise”, as discussed elsewhere in this article.
Experts are not in agreement on whether to interpret (and teach) the mole as a “number”
(Dierks (1981) in Kind (2004) p.50) or as an “amount of substance” or “chemical amount”
that corresponds to 12 grams of carbon-12 (Nelson (1991) in Kind). Kind speculates that
“This difference may be at the centre of problems associated with the mole – in teaching the
concept we may use 'amount of substance' and 'number of particles' synonymously,
contributing unwittingly to students’ difficulties by never really explaining what we mean in
either case.”
Lists of alternative conceptions that have been proposed as key or central misconceptions by
various investigators (Table 1), and by the participants in the Modeling Methods in Chemistry
Workshop of 2001 (Table 2) have been provided below.
When the importance of student alternative conceptions in a subject area has been recognized,
what use should the teacher make of this knowledge? There is ample evidence (previously
discussed) that instruction that fails to acknowledge and address these alternative conceptions
will prove unable to foster real growth in understanding of the subject. Students can still gain
"knowledge", in the form of memorizing facts and procedures for solving very limited classes
of problems, and teachers may out of frustration become reconciled to settling for this kind of
learning, and even to calling it success. But in the words of Mary Nakleh (1992), “knowledge
is not understanding.” So how then should the teacher proceed?
First, the teacher shouldn’t design a course around dealing with student alternative
conceptions. A course has to be built around positive goals. In particular it should be built
around the models or fundamental concepts of chemistry to be mastered and understood by
the end of the course. An understanding of student thinking will affect the tactics and even
the strategy followed, but the course must be about building, not tearing down. Vanessa
Kind’s booklet and the Modeling Instruction Program (links in Appendix 1) offer two of what
must by now be many such curriculum outlines available.
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A knowledge of student alternative conceptions will be helpful in deciding where to start and
what to cover. As Driver and Bell (1986) put it: “We may need to reconsider the assumptions
we are currently making about where students start from in their thinking in science courses.
… We may be making unwarranted assumptions that students will have [understood the
prerequisite topics], and we can therefore take [these] for granted and build on [them] in
lessons ….”
Should the teacher confront students with the evidence that their ideas are wrong or lacking in
predictive value, and then present them with replacement ideas? This is tempting. It is
relatively simple to do, and it’s fun – for the teacher. Pedagogically however it is a very bad
idea. It can be embarrassing and devaluing for the students, whose ideas always, at every
time, represent the culmination of a lifetime of trying to make sense of their world, and are
therefore held as valued possessions. As Smith et al.(1993) put it, “misconceptions are faulty
extensions of productive prior knowledge.” The students have spent a lifetime, starting as
toddlers, trying to be right, and they get defensive, angry and wary when being made wrong.
In any case, they simply cannot just switch off their own ideas and adopt new ones that are
presented to them, even if the evidence is clear. Brains don’t work that way. As Smith
(1993) observes, replacing misconceptions “… is neither plausible nor always desirable;
misconceptions thought to be extinguished often reappear.”
Hammer (1996) argues that calling a statement a misconception implies that it must be
removed from the student’s mind. “To construct from useful conceptions without eliminating
misconceptions would leave in place knowledge inherently inconsistent with expert
understanding.” This he argues is impossible, making the entire enterprise of dealing with
misconceptions flawed. Yet modern practice shows that new conceptions arrived at over time
or through guided inquiry and student discourse are in fact stable and do in fact come to
replace old conceptions. (e.g. Francis (1998)) Perhaps this is achieved not by an eradication
but by the learners’ rearrangement of mental elements at some deeper level.
If a teacher decides to follow this path, he or she should get training in how to manage student
discourse and guide student thinking in a non-directive manner. To move beyond their
previously held ideas students must construct new ones, in interaction with the results of
experiment. For the teacher, especially for veteran teacher, this can be quite challenging and
counterintuitive. It is a skill that cannot easily be self-taught. For example, after a lifetime of
being the expert who explains everything, you’ll have to learn to steadfastly refuse your
students (and maybe their parents) when they righteously demand that you do your job and
give them “the answer”. It is said that we teach the way we were taught. Hesse and Anderson
(1992) commented that “it is likely that the same conceptual-change techniques that are
employed by the teacher to promote conceptual change within students must also be applied
to the present body of practicing teachers.”
The Modeling Methods program listed in Appendix 1 is one place to look for this kind of
training, but there are surely others.
David Hestenes (1995), commenting on the dismal performance of physics graduate students
on their oral exams, points out that students don’t really start to master the concepts of physics
until they start on their dissertation research. He implies that rich interactive inquiry-focused
experiences such as working closely with a professor on a project need to be provided much
earlier in the curriculum.
15
Lewis and Linn (1994) argue for a curriculum that includes everyday knowledge, to encourage
integration of knowledge, to engage students in building on their intuitive conceptions, and to
make scientific knowledge easier to remember.
Finally, get your principal and your department chair on your side! Any effort to take on a
new way of teaching should have their understanding and approval, including an agreement
on how you are going to measure the success of your students and of your course. A course
based on guided inquiry and discourse aimed at achieving conceptual change will not look
like other courses, won’t have the same rhythm, and won’t be able to cover as many topics.
To succeed, you need your administrators to understand it and why it is worth doing.
The preconceptions and misconceptions listed in Appendix 2 are categorized by topic. They
are divided into essential physical concepts (background), basic chemistry, electrochemistry,
thermodynamics and atomic chemistry. For the most part, the essential physical concepts
section (“A. “) does not rely on the atomic theory, while the basic chemistry part (“B. ) does..
I have tried to edit the list to include only alternative conceptions held by 8-10% or more of a
student cohort, ages 12 and above, (except in a few cases where a smaller number shows the
persistence or diminution of a conception over time).
The information about cohorts of students among whom the alternative conceptions were
observed, and with what frequency, has been reported where it has been preserved.
Evaluations from researchers on the importance of the misconception being reported is
included in Appendix 2. These and evaluations by the teachers in a modeling workshop are
presented separately in Table 1 and Table 2.
The section on chemical equilibrium is structured around the framework of Hackling and
Garnett (1985); the section on force is structured around the framework of Hestenes (1992);
and the section on energy is structured around the framework of Ricardo Trumper (1990) as
reported in Swackhamer (2001). Some topics were restructured to follow the framework
given by Kind (2004), or for acids, bases and neutralization that of Hand and Treagust (1988)
as reported in Kind.
1. Consider the proportion of students who hold an alternative conception. Also look at all
the other reported alternative conceptions around the same question. Do they reflect one
or two deeper issues?
2. Consider the alternative conception’s persistence over time and in the face of instruction
and contradictory information? Which alternative conceptions stand firmly on their own
and which are undermined, weakened and finally reinterpreted or left behind as new
structures of understanding are built around them?
3. Which alternative conceptions prove fatal to an understanding of a topic, and which prove
16
less damaging or harmless? Will you leave students behind and lose their willingness
to trust the process and its outcomes if they fail to break through on this one, or is this
one
they can come around on later without serious damage? Perhaps choosing key
conceptions could be thought of in terms of choosing your battles.
5. Within a group of related conceptions, there may be one that appears to most simply
express or summarize the group, and another that is most likely to be chosen by the
students. It is tempting to choose the former, but this is risky until we understand at a
deep level what thought process is generating this conception and how it fits into the
students’ system of understanding.
6. Selections by veteran teachers should be listened to with an open mind, even though they
may not possess all the distinctions that the research community holds. It would have
been good to have recorded the modeling workshop teachers’ explanations of their
choices.
"Anodes are always on the left" is an example of a misconception which is both trivial and
non-primitive, a simple artifact of the habit of some textbook writers of always illustrating
anodes in this way. This sort of misconception will clear up quickly when students actually
understand what an anode is from their own experience, and may disappear when new
textbooks come out. An interesting glimpse of what is going on in student learning.
“Chemical bonds store energy” (previously mentioned) is not a primitive misconception in the
sense that it refers to a concept (the chemical bond) which is several steps removed from the
child's experience of the world. However, whether it is taught in school, picked up from the
ongoing conversation about energy in the larger world or arrived at by the student through
their own thinking, once the concept has been acquired it becomes heavily used and strongly
held. This misconception can become a serious obstacle to further progress in chemistry.
"Heat has the properties of matter" and "heating an object adds mass to it" (Schmidt, 1997)
are both important alternative conceptions, widespread, persistent and having significant
consequences. Are they redundant? The former appears to be the fundamental statement of
the misconception, and would thus rate designation as a key misconception, but the latter
would be the example in which a student would recognize their own ideas. The similarity of
this conception to the medieval “phlogiston” and early modern “caloric” are clues that its
roots may be very deep. My call would be that the first expression is the better choice.
"Temperature is a property of the material from which a body is made" and "two objects in
the same environment don't eventually reach a common temperature." Of a group of
secondary students, 95% gave each of these responses (Thomaz, 1998). Here we have a
misunderstanding that is primitive and fundamental in that it arises inevitably out of
17
observations. It is extremely widespread, extremely persistent and has profound
consequences for the student's further progress in chemistry. These are logically equivalent
statements. The first summarizes what subjects report, and the second is its expression as a
failure to understand a core scientific principle. The first one is the actual alternative
conception. However, neither is as fundamental as the conception “metal is cold”. Metal
“feels” cold! That is true! Until students can reinterpret this phenomenon (e.g. “what we feel
isn’t really how cold or hot something is, but how fast heat is flowing through our skin”),
many simply won’t believe their thermometer! This may require first distinguishing heat
conductivity from heat capacity and quantity of heat energy.
The previously mentioned model of electrical forces within the atom, "force is conserved,"
was never actually said by any of the subjects, yet once distinguished, its fingerprints can be
seen on a number of other alternative conceptions. It seems to be a good hypothesis about
what the students are “really” thinking at a deeper level. I called it Key, but it really needs
more testing.
I contributed my own nominations for key alternative conception where I felt the findings of
the investigators reviewed pointed strongly to this conclusion but they didn’t actually call it;
or where from my own teaching experience I recognized an alternative conception as one I
had encountered in my students and had found stubborn, persistent and troublesome, and
where no investigator had called out it or any similar conception.
Recommendations
Work remains to be done in reviewing the literature, especially publications since 2004. It
would be good to see what has developed out of diSessa’s work with p-prisms, and whether
this approach appears to be leading to practical applications. The literature concerning use of
student alternative conceptions for “bridging exercises” – step-by-step efforts to lead students
to correct explanations starting from what they already believe, as proposed by Clement
(1982) and de Vos (1987) - could be surveyed and referenced as part of this list.
Articles reporting case studies which follow student conceptual progress over the course of a
lesson, a semester or a childhood, should be included. Concepts representing the scientist’s
views, (the “right answers”), labeled as such, could be added to the list, making it more useful
to a wider audience. While nearly all entries to the full list in Appendix 2 were taken from the
published refereed literature, many are not attributed and annotated. These are primarily from
the first summer when our goal was to get a list of misconceptions quickly for the new action
research team then beginning the task of designing a chemistry course, mentioned above.
This needs to be remedied.
Maps or chains of conceptual growth would be of great value. For this it would be good to
collect case study, cross sectional and other data on how conceptions evolve over time – maps
of chains of conceptual growth. This could include any information on how and why the
transition between steps, and where, how and why chains get blocked by a stubborn
alternative conception. Can the time required to progress through this chain be compressed?
What steps can be skipped? Is it possible to take a chain of concept development that occurs
typically between say the ages of 10 and 18 and lead students through it in a semester, a
month or an hour? Can the intermediate concepts – or others discovered by the teacher – be
18
used for bridging exercises? This information of course is closely tied to teaching strategies.
These should be included or links to them could be provided. The result would be a kind of
atlas of student conceptual growth.
Trevor Anderson and Jennifer McKenzie, in their great CARD (Conceptual and Reasoning
Difficulties) website (Appendix 1), have made an impressive start on this. They have built a
very large list of student difficulties in chemistry (other sciences and mathematics are being
added) with links to references, summaries of the research, and remediation strategies. Each
difficulty is rated on a four-level framework described by Grayson, Anderson and Crossley
(2001), according to how much is known by the researchers about it. This is of course not the
same as a list of key alternative conceptions, but it is potentially a big contribution toward it.
Mining their site for contributions to the list of alternative conceptions in Appendix 2 below
and for more information about current entries would be a great project for someone with time
on their hands.
Arranging for teachers to have online journal access would be a huge step forward in
connecting the theory and practice of teaching, and would for example make this article much
more useful to them. Most teachers, the primary intended audience of this article, don’t have
ready access to a great research library. Most of the articles referenced here have already
been digitized and put online, but can’t in general be accessed by teachers from their homes.
Teacher access to these would also allow the interested teacher to pursue the authors’ own
references and to search for other works by the same author.
Providing teachers with online journal access could be done by teachers’ associations, by
school districts, by state or provincial education departments, by national departments or
ministries of education, or as a service to their neighborhoods by nearby universities or
colleges. Journals are always starved for funds and most won’t jump forward with offers of
free access for teachers, but they could certainly take on actively promoting this idea and
offering to negotiate easy terms for entities representing teachers. Perhaps they could agree to
offer free access to teachers in poor countries and communities as a public service.
Many concept tests or formative assessments have been or are being developed for many
levels of and topics in chemistry. If such a test uses observed student alternative conceptions
as distractors (wrong answers), and if it is used as both a pre-test and a post-test for the same
class, the resulting data is potentially useful for research. Makers and users of these tests
could be identified and invited to join in such projects, particularly for collecting information
on the evolution of student conceptions over time.
References have been found to misconceptions concerning the geometry and polarity of
molecules (Furio Mas,1996). It would be very surprising if there weren’t a substantial
number of misconceptions concerning the periodic table of the elements, given that students
19
are introduced to this topic in grammar school, long before they are clear about what an atom
is.
∞
Acknowledgments.
This work was made possible in part by grants from the National Science Foundation.
Special thanks must be given to Jane Jackson, Co-Director of the Modeling Instruction
Program, for her support and facilitation of this project and for the efforts she made, including
late-night proofreading, to see it through to publication, and to Thomas Loughran and Guy
Ashkenazi for reviewing the article and sharing their comments, suggestions and corrections.
Eileen Lewis and Dewey Dykstra were kind enough to share their thoughts and suggestions
for this work. Many participants in the Modeling Instruction in High School Chemistry
action research teams that formed at Arizona State University in June 2001 and that met again
in August 2002 and August 2004 made contributions to this work, and spurred it on with
requests for support around developing concept tests. In particular we are grateful for the
expert and generous assistance of Guy Ashkenazi of Hebrew University and David Frank of
California State University in Fresno, who served at various times as advisors to these teams.
Kristen Guyser and Patrick Daisley were essential to the formation of this project, as were
Lynette Burdick, Consuelo Rogers, David Boyer and Gail Seemueller. Thanks to Larry
Dukerich and Brenda Royce for their many efforts to keep the Chemistry Modeling
Instruction project alive and on track. My apologies to those I left out. Finally I would like to
thank Christine Bertrand and the California Science Teachers Association for printing this
article in their journal, the California Journal of Science, and posting the current version with
the list of alternative conceptions on their website.
20
Table 1: The expert observers’ selection of key student alternative
conceptions in chemistry.
These candidates for key (and “important”) student alternative conceptions were either
chosen by researchers, or else I was able to unambiguously infer from what the
researchers wrote that they so regarded them. (In some cases I have preserved their actual
words.) Presumably they don’t all hold the same criteria for their choices, and each had
their own focus and their own framework of ideas, so these choices cannot strictly be
compared. It is nevertheless interesting to see how they often made different but related
choices, and how seldom two researchers picked the same one. The failure of any one
researcher to select any particular alternative conception or to choose from any particular
category of alternative conceptions should not be given any significance, as presumably
few of them had a complete list of alternative conceptions in front of them to consider,
and most were concerned with only a limited subset of chemistry.
∞
A.1.2 Matter can disappear. [Kind (04): Key]
A.1.4.1 Matter is continuous, but contains particles; matter exists between atoms.
[Kind (04): Key]
A.1.4.1a The space between atoms and molecules is not empty. [Kind (04): Key]
A.1.6 Particles may have macroscopic properties: they may burn, contract, expand or
change shape. [Kind (04): Key]
A.2.8 Gas behaviour is explained by attractive or repulsive forces between
molecules. [Kind (04): Key]
A.3.1.3 (Mass is confused with density.) [Kind (04): Key]
A.3.2.1.2 The products of chemical reactions need not have the same mass as the
reactants. [Schmidt (97): Key]
A.5.1 Collisions between molecules cause heat. [Thomaz (95): Key]
A.5.1.1 Heat has the properties of matter or substance. [Schmidt (97): Key]
A.5.1.1.1 Heat can add weight to the object being heated. [Schmidt (97): Key]
A.5.1.1.2 Heat is a substance residing in a body which can pass from one body to
another, like a fluid. [Thomaz (95): Key]
A.5.1.1.2.1 Heat is in the fuel being burned and is not formed during combustion.
[Schmidt (97): Key]
A.5.1.4 Heat is something that heats up other things; either the hot object or a
substance given off by it. [Viennot (98), Important]
A.5.1.6 Heat is a sensation. [Thomaz (95): Key]
A.5.1.7a The state of hotness or coldness depends on the material from which a body is
made. [Thomaz (95): Key]
A.5.4.2.1 Heating a body always means raising its temperature.[Thomaz (93, 95): Key]
A.6.1.1 Temperature is a measure of a body's heat. [Kesidou (93), Key]
A.6.3 Like heat, temperature is a property of the material from which a body is made.
[Thomaz (93): Key]
A.6.3.1 Different materials (flour, nails, water) placed for a long time in a room which
is at a certain temperature remain at different temperatures.
[Thomaz (95): Key] [Viennot (98), Key]
21
A.7.2.2 Collisions between particles cause heat.
[Viennot (98): “Central misconception”]
Table 1: Expert Observers’ Selection, Cont.
B.8.4 A base/alkali inhibits the burning properties of an acid. [Kind (04): Key]
B.8.5 Hydrogen ions are present in acids, but acids remain molecular in solution.
[Kind (04): Key]
C.2.1.2.1 Electrons move through electrolytes by being attracted to positive ions in the
solution. [Sanger (99): Important]
D.5.4.2 The "driving force" in a chemical reaction refers to an external causative agent.
[Cachapuz (87): Key]
E.1.1.2 Atoms "own" their electrons. [Tabor (98a): Important]
E.1.1.3 Atoms are like cells with a membrane and nucleus. [Wheeler(78)(?) Important]
E.4.1. Atoms “want” or “need” to form bonds. [Kind (04): Key.]
E.4.2.2 Atoms are held together because they share electrons, so sharing electrons
is like a force. [CH: Key]
E.4.5 Ionic pairs such as Na + and CI- are molecules. [Kind (04): Key]
E.4.3 There are only two types of bond: covalent and ionic. [Kind (04): Key]
E.4.7 Covalent bonds are weaker than ionic bonds. [Kind (04): Key]
E.4.5 Atoms are held together because they share electrons, so sharing electrons is
like a force. [CH: Key]
E.4.6 The central (first) element in a formula is more powerful, and is responsible for
bond formation. [Kind (04): Key]
E.5.2.1 The number of ionic bonds an ion can form is determined by the electronic
configuration. [Taber (97): Key]
E.5.2.2 Ionic bonds can only form between the electrons that have donated or
contributed electrons. [Taber (97): Key]
E.5.3.1 Ionic bonds can only form between one sodium ion and one chlorine atom, so
ion interaction with other ions are “just forces”, not bonds.
[Taber (97): Key]
E.5.6 Covalent bonds are weaker than ionic bonds, and break first on heating.
[Kind (04): Key]
********************************
24
Of the participants in the action research team that met at Arizona State University and
initiated the project of designing and testing a “modeling method” curriculum in chemistry,
most were high school chemistry teachers and most of those had become very aware of
student alternative conceptions through their participation in and use of the “modeling
methods in physics instruction” training. Presumably they had already become good listeners
for the ideas of their chemistry students.
The teachers were asked to consider the list of alternative conceptions that had been collected
to date, and to rate them as “key misconceptions” (widely and strongly held and representing
a serious obstacle to the students acquiring the chemists’ viewpoint), “important”, and down
to “participants doubt anyone believes this”. Below are the conceptions which most of the
participants, after discussion, agreed were Key or Important.
∞
A.1.4 Matter is continuous, homogeneous, space filling and static. [mw: Key]
A.1.4.1 Matter is continuous, but contains particles; matter exists between atoms
[mw: Key]
A.1.4.1.1a The space between atoms and molecules is filled with air. [mw: Key]
A.1.4.2 There is no space between molecules in solid objects. [mw: Key]
A.2.1.1 Air has no mass. [mw: Key]
A.3.2.1.1.1 A sealed container with a bit of liquid in it weighs less after the liquid has
evaporated. [mw: Key]
A.3.2.1.3 Weight (mass) is lost in dissolving. [mw: Important]
A.5.1.1.2 Heat is a substance residing in a body which can pass from one body to
another, like a fluid. [mw: Key]
A.5.1.1.2.1 Heat is in the fuel being burned and is not formed during combustion.
[mw: Key]
A.5.1.6 Heat is a sensation. [mw: Key]
A.5.1.7a The state of hotness or coldness depends on the material from which a body is
made. [mw: Key]
A.5.1.12.2 Heating a body always means raising its temperature. [mw: Key]
A.6.1.1 Temperature is a measure of a body's heat. [mw: Key]
A.6.9.1.1 The temperature at which water boils is the maximum temperature to which it
can be raised. [mw: Key]
A.7.1.6 Molecules expand when heated. [mw: Important]
A.8.3.1 Water needs a force, heat, to force it upward in evaporation. [mw: Key]
A.8.10.1 Oil doesn't mix with water because oil and water molecules repel each other.
[mw: Key]
A.9.5.2 Chemical bonds store energy. [mw: Key]
A.9.5.2.4 Fuel stores energy. [mw: Key]
B.1.1.1 Atoms are hard, like billiard balls. [mw: Key]
B.1.1.2 Atoms are soft and fuzzy. [mw: Key]
B.1.1.4 Atoms have electrons circling them like planets around a star. [mw: Key]
B.1.4.3 Mass is conserved, but not the number or species of atoms. [mw: Key]
25
B.2.2.1 Molecules are small particles formed by successive partitioning of matter and
hence keep their macro properties such as hard, soft, etc. [mw: Key]
Table 2: A High School Teachers’ Selection, Cont.
B.2.2.2 The properties of molecules depend on the phase of the material composed of
them. [mw: Key]
B.2.2.2.2 Water vapor molecules weigh less than ice molecules. [mw: Important]
B.4.0.2 Water (or alcohol) disappears as it evaporates. [mw: Key]
B.4.0.3.1 A sealed container with a bit of liquid in it weighs less after the liquid has
evaporated. [mw: Key]
B.4.2.2.5 Bubbles from boiling water are made of heat. [mw: Key]
B.4.2.2.1 Bubbles from boiling water consist of air. [mw: Key]
B.4.2.2.2 Bubbles from boiling water consist of air and oxygen gas. [mw: Important]
B.4.2.4.2 Molecules of ice are hard and frozen. [mw: Key]
B.4.2.4.3 Water from melting ice is different from running water. [mw: Key]
B.4.3 Freezing and boiling are examples of chemical reactions; a phase change is a
kind of chemical reaction. [mw: Key]
B.4.4.1.1 Drops of water on the outside of a cold bottle of water come from inside the
bottle. [mw: Key]
B.4.4.1.2 Drops of water on the outside of a bottle are made by the cold. [mw: Key]
B.4.5.3 The temperature at which water (or any substance) boils is the maximum
temperature to which it can be raised. [mw: Key]
B.5.1 Melting and dissolving are the same thing. [mw: Key]
B.6.1.2 Chemical reactions are reactions which produce irreversible change.
[mw: Key]
B.6.1.2.1 The original substance vanishes "completely and forever" in a
chemical reaction [mw: Important]
B.6.1.2.3 Physical changes are reversible while chemical changes are not. [mw: Key]
B.6.1.7.1 Re-crystalized sugar is not the same as the original sugar that was
dissolved, so a chemical reaction must have taken place. [mw: Key]
B.6.2.1 Chemical reactions are caused by mixing of substances. [mw: Important]
B.6.2.2.1.2 Coldness causes a nail to rust, drawing the rust out of the nail, like a magnet.
[mw: Key]
B.6.3.5.1 A rusting nail won't change weight because the rust was already in the nail.
[mw: Key]
B.6.4.2 Chemical bonds store energy. [mw: Key]
B.6.5.1 Reactions between two chemical species in a solution may be analyzed without
considering the effects of other species present. [mw: Key]
B.6.5.4.1 Reactions that proceed more rapidly also proceed further (more completely.)
[mw: Key]
B.6.6.1.1 Chemical reactions will in general continue until all the reactants are
exhausted. [mw: Key]
B.6.6.3 When reversibility of a chemical reaction is observed, it can be explained as
phase changes which occur as the temperature fluctuates. [mw: Important]
B.6.7.1.6 The concentrations of all species in a reaction mixture are equal (or have a
simple arithmetic relationship) at equilibrium. [mw: Key]
C.2.1.2.1 Electrons move through electrolytes by being attracted to positive ions in
the solution. [mw: Important]
E.3.1 Coulomb's law doesn't work inside the atom. It works in physics but not in
26
chemistry. [mw: Key]
E.3.2.2 Nuclear forces are like tentacles; each one is attached to an electron.
[mw: Key]
27
Appendix 1:
Online Resources
CARD, Conceptual and Reasoning Difficulties: Trevor Anderson at the University of Natal
and Diane Grayson have developed a very rich website that summarizes a large number of
alternative conceptions, especially in chemistry. The URL is: http://www.card.unp.ac.za.
The website greets you with: “Welcome to CARD, the Conceptual and Reasoning
Difficulties resource for researchers and teachers in science, mathematics and technology
education! Currently CARD contains over 5000 references as well as extensive information
on chemistry difficulties, and will be expanding to include other areas of science, mathematics
and technology.” It contains lists of alternative conceptions with links to the research and to
teaching strategies, often with materials available. This is a tremendous site.
Facets of Thinking in Physics, by Jim Minstrell and Pamela Kraus. Jane Jackson wrote of this
site: "This is … HUGE …! Jim is a master high school teacher/researcher." A number of
alternative conceptions were taken from this site for our list. Unfortunately I don’t at this
time seem to be able to find it. You can try contacting Jim Minstrell at
<jimminstrell@TALARIAINC.com
“Previous Ideas” website, a review and listing of student alternative conceptions in biology,
chemistry and physics, from the Centro de Ciencias Aplicadas y Desarrollo Techologico,
Mexico, D.F. A well-organized website without a great deal in it. In English. <
http://ideasprevias.cinstrum.unam.mx:2048/presentation.htm >
Learn Net, a site provided by the Royal Society of Chemistry, Great Britain, provides a link to
Vanessa Kind’s 2004 work, listed separately above; a set of worksheets inspired by that work;
a well-thought-out set of lessons for age 11-14 introducing the particle model of matter; and
links into a great deal else that the Royal Society has been doing around chemistry education.
RSC Education Department, http://www.chemsoc.org/networks/learnnet/miscon2.htm, email:
education@rsc.org;
The Foundational Coalition is working to create concept inventories for specific cognitive
disciplines, including chemistry, and contains links to others.
http://www.foundationcoalition.org/home/keycomponents/concept/index.html
29
Appendix 2:
Key:
Topics A.8: Force, A.9: Energy and A.10: Electricity, within A. Essential Physical Concepts,
are labeled "(limited inventory)". This is a caution that a full search of the student
conceptions literature on these topics was not attempted. Only such features of these concepts
as bear chemistry and the nature of materials at a level up to mid-college was included.
Parentheses around an item in the list of conceptions, such as (Nature of heat), are to indicate
that this is not to be taken as an observed student conception but rather as a category name or
as an underlying conception inferred (by the compiler if unattributed) for the family of related
specific conceptions that follow.
An asterisk (*) after a listing indicates that the listing was entered under more than one
category. An asterisk in parentheses followed by a list-item address indicates that the listing
is cross-listed within the category given by that addresses. For example, the following listing
appears at address B.1.6.4 and somewhere within A.1.4. (At address A.1.4.1.5, as it happens.)
Square brackets following a listing: Where all the information is available, the researcher
reporting the conception is given, followed by the age or grade of the cohort in which the
conception was observed, and the percent (or some other indication of the proportion) of the
cohort that gave this response. For example:
A.9.5.1 Energy is a reactant which is added to a reaction. [Thomaz (98), C4: 50%]
This indicates that the researcher or researchers referenced by Thomaz (1998) found that 50%
of a group of 4th-year college students (chemistry majors, presumably) held this alternative
conception.
“b” and “a” are used to indicate that an observation was made before or after instruction on
the topic. For example:
[S12b: 56%] means “Observed in 56% of a group of 12th graders, before instruction.”
[17yo,a: 44%] means “Observed in 44% of a group of 17-year-olds, after instruction.”
D is used for German (“Deutsch”) high school students as it is claimed they have already had
three years of chemistry prior to tenth grade and thus might not be comparable to other high
school students.
Ratings: When investigators indicated that an alternative conception was central or key, or a
major obstacle to student learning of the chemists’ understanding, this was indicated by
including the word Key (or occasionally a longer statement) within the square brackets, for
example:
In a limited number of cases, where either from reading the literature or from my own
experience I was convinced that an alternative conception was crucial, but no one else was
saying so, I included my own rating (CH for Chris Horton):
[CH: Key]
The list of alternative conceptions that were tagged as key by one investigator or another was
also listed separately in the body of this paper in Table 1 (above).
Conceptions that were chosen as key or important by a group of science teachers that met at
Arizona State University in June, 2001 were not noted in Appendix 2, but are listed in Table 2
(above). Items which at least some modeling high-school teachers doubted were
misconceptions or thought they were arguably true are labeled: [mw: t] below.
31
A.0: Size, Volume. (See also B.3, Atomic Scale and Stoichiometry)
A.0.1 Big means the same thing as heavy. [CH: very common, S12 and C1]
A.0.2 Massive means very big. [Common usage.] [CH: very common, S12 and C1 ]
A.0.3 There are 100 cm 3 in 1 m3. [CH: very common, S12 and C1]
A.0.4 A lead bar will displace more water than an aluminum bar of the same
dimensions. (* A.4) [CH: very common, S9-S12 and C1]
A.1.1 There are more than three kinds of ‘stuff’; e.g. solid, liquid, powder, paste, jelly,
slime, paper-like, etc. [Hayes (79) in Kind (04)]
A.1.1.1 Any solid can be powdered but there is no obvious way to change a powder
to a solid. [Hayes (79) in Kind (04)]
A.1.1.2 Some solids decompose (change slowly into some other useless substance.)
[Hayes (79) in Kind (04)]
A.1.1.3 Non-rigid non-hard substances (dough, sponge, sand, steel wool) are not
solids. [Stavy (85) in Kind (04), 12-13 yo. 50%]
[Johnson (96), 11-14 yo (in Kind (04) p.27.)]
A.1.1.3.1 Nails are not solid because not in lumps.
[Johnson (96), 11-14 yo (in Kind (04) p.27.)]
A.1.2 Matter can disappear. [Gable (87), PT: "some"] [Kind (04): Key]
A.1.2.1 When matter disappears from sight (e.g. dissolving, evaporating) it ceases to
exist. [Piaget (74) (in Kind (04))]
A.1.2.1.1 Matter is not conserved in evaporation: “Gas weighs less than liquid”.
(* A.2, B.4) [Stavy (1990), p247 (in Kind (04) p16), 15yo: 50%]
[Kokotas (98)] [Russell (89 and 90) (in Kind (04) p. 7), 5-11yo: 45%]
A.1.2.1.2 Solute (salt, sugar) disappears when dissolved. *
[Prieto (89) (in Kind (04)), 14 yo: 44%]
A.1.2.1.3 The wax from a burning candle disappears. (* B.7)
A.1.2.1.4 The wax from a burning candle becomes energy. (* B.7, A.9)
A.1.2.2 Matter can disappear, and its properties (sweetness, smell, etc.) can
continue to exist completely without it. [Piaget (74) (in Kind (04))]
[Stavy (90), (in Kind (04) p.7), 10-12 yo: 30%]
A.1.2.3 Precipitation reaction results in change in mass. (*B.6.3)
[Barker (95 and 99), 16yo: 56%; 18 yo: 70%; (in Kind (04))]
A.1.2.3.1 Mass increases in precipitation because solid weighs more than a
liquid. (*B.6.3)
[Barker(95) and Barker and Miller(99), 16yo: 17%; in Kind(04)]
A.1.3 Weightless matter can exist. (*A.3) [Piaget (74) in Kind (04)]
32
A.1.3.1 Matter becomes weightless when it evaporates. (*A.3) [Stavy (90) (in
Kind (04) p.8), 14yo: 40%] (Note: this view is not held if vapor is visible.)
A.1.4.1.1 Air is everywhere, fills all space, like a thin continuous tissue. (*A.2)
[Krajcik (89), S9: 80%]
A.1.4.1.1a The space between atoms and molecules is filled with air.
(*A.2, B.1) [Kokotas (98): Important.] [mw: Key]
A.1.4.1.2 Gas is continuous. [Schmidt (97), 13yo: 40%; C1: 12%]
A.1.4.1.3 Copper consists of atoms of copper embedded in a matrix like raisins
in bread. (* A.2, B.1)
A.1.4.1.4 The space between particles contains “vapour or oxygen”. (*B.1)
[Novick (78) p.276, 16 yo+: 40%. (In Kind (04))]
A.1.4.1.5 The space between particles contains “a pollutant.” (* B.1)
[Novick (78) p.276, 16 yo+: 40%. (In Kind (04))]
A.1.4.1.6 (There can’t just be “nothing” between particles.)
[Kind (04), students all ages. p.11]
A.1.6 (Particles may have macroscopic properties: may burn, contract, expand,
33
change shape.) * [Kind (04): Key]
34
A.2: Air, Gas, Pressure (see also D.4.5, Thermodynamics of Gasses)
A.2.2 Air is everywhere, fills all space, like a thin continuous tissue.(* A.1.4)
[Krajcik (89), S9: 80%]
A.2.2.1 The space between atoms and molecules is filled with air. (* A.1.4)
[Kokotas (98)]
A.2.3 Air is different from other gasses: it resembles other invisible quantities such as
energy, heat and gravity. [Schmidt (97), 12yo: 10%]
A.2.4 Air consists of two types of air, hot and cold.* [Schmidt (97)]
A.3: Mass/Weight:
A.3.1 (The mass or weight of something depends on properties other than amount
and kind of matter.)
A.3.1.1 Weight is related to a feeling. [Schmidt (97), S]
A.3.1.2 Weight increases with distance above the ground. [Schmidt (97), S]
A.3.1.2.1 Weight is caused by air pressure, and disappears in a vacuum. (*A.2)
[Schmidt (97), S] [Clement (82)]
A.3.1.2.1.1 Weight is proportional to air pressure, which holds objects down.
(*A.2) [Olenick]
A.3.1.3 (Mass is confused with density.) * [Schmidt (97), S] [Kind (04) p.36: Key]
A.3.1.3.1 Less dense means weighs less. [Mulford (96), C1a: 15%]
35
A.3.1.3.2 (If reaction products are different density than the inputs, the mass
changes.)
A.3.1.3.3 A kilogram of lead weighs more than a kilogram of water.
[Krnel (98), S]
A.3.1.3.4 A gas weighs less than a solid. [Mulford (96), C1a: 30%]
A.3.1.3.5 Weight increases if an object is compressed. [Schmidt (97), S]
A.3.1.4 (Mass confused with concentration.) * [Wheeler (78), S]
A.3.2a Mass is not conserved. (* B.7) [Furio Mas, 17-18yo: 51%. 12-13yo: 86%]
A.3.2b Weight is not conserved. (* B.7) [Furio Mas, 12-18yo: 74%]
A.3.2.1 The mass or weight changes when a substance changes form.
A.3.2.1.1 The weight of a substance changes when it changes phase. (*B.4.0)
A.3.2.1.1.1 A sealed container with a bit of liquid in it weighs less after the
liquid has evaporated. (* B.4.0)
A.3.2.1.1.2 Matter becomes weightless when it evaporates. (*A.1.3, B.4.0)
[Stavy (90) (in Kind(04) p.8), 14yo: 40%]
A.3.2.1.2 The products of chemical reactions need not have the same mass as
the reactants. * [Schmidt (97): Key]
A.3.2.1.3 Weight (mass) is lost in dissolving. * [mw: Important]
A.3.2.1.3.1 When 1 gram of sugar is dissolved in 20 g of water the solution
weighs 20 g or less.*
A.3.2.1.3.2 Salt disappears in dissolving. (*B.5) [Mulford (96), C4: 15%]
[Lee (93), MS]
A.3.2.1.4 When the color of something changes, its weight (mass) changes.
A.3.2.1.5 Mass is lost in combustion.* [Mulford (96), C4: 13%]
[BonJouade (91), S: 28%]
A.4.1 Objects float because they are light (without regard to volume or density).
[Krnel (98), S]
A.4.1.1 A candle will sink in water faster than half a candle.
[Krnel (98), 13-14yo: 40%]
A.4.3 A paper clip can be made to float on top of water, because it is light.
A.4.3.1 A small steel paperclip floats better than a large steel paperclip.
36
A.4.4 Surface tension is like a skin and it is made of something different from water
or is made from a different kind of water.
A.4.5 (Students unable to explain why steel ships float.) [Bodner (91) G1: most]
A.4.5.1 Steel ships float because of surface tension.
[Bodner (91) G1: “surprisingly popular”].
A.4.5.1.1 Things (e.g. the Titanic) float if they have a larger bottom surface.
[Olenick] [Bodner (91), G1]
A.4.5.2 (misc. explanations such as “The Titanic was equipped with a flotation
device.”) [Bodner (91), G1: “a surprisingly large fraction”]
A.4.6 A lead bar will displace more water than an aluminum bar of the same
dimensions. (*A.0) [Krnel (98), 14yo] [CH, S9-S12, C1: very common]
A.4.7 Things sink if they have holes in them. [Olenick]
A.5: Heat
A.5.2.1 Metals hold heat better than wood does. [Kesidou (93), D10]
A.5.2.2 Some materials are resistant to heating. [Kesidou (93), D10]
A.5.2.3 Metals hold cold.* [Lewis (94)]
A.5.2.3.1 Metals absorb more cold than plastic does. [Clough (85), S]
A.5.2.4 Two liquids heated with equally hot flames to the same temperature will
receive the same amount of heat, regardless of how long they are heated.*
[Kesidou (93), D10: 44%]
A.6 Temperature
A.8: Force (limited inventory) (See also A.10.2: Electrical Force, and E.3:
Atomic Structure: Electrical Force)
A.8.3 Force causes motion. (Force is proportional to velocity.) [Hestenes (92): Key]
A.8.3.1 Water needs a force, heat, to force it upward in evaporation. (* A.5)
[Schmidt (97)]
A.8.4 Force is dominance; the bigger, faster, more powerful thing in an interaction
exerts more force. [Hestenes (92): Key]
A.8.4.1 Water has the force to dissolve salt. *
A.8.4.2 When Mg is placed in aqueous HCl, Mg is the driving force. It is very
reactive and drives the reaction. (* D.5.4) [Cachapuz (87), S12a: 27%]
A.8.4.3 When Mg is placed in aqueous HCl, the acid is the driving force, because
it is very strong. (* D.5.4) [Cachapuz (87), S12a: 9%]
41
A.8.5 (Energy and force are the same thing.) *
A.9.8 (Functional: energy is seen as a very general kind of fuel associated with
making life comfortable.) [Trumper (90), S: 9:6%; S10: 13%]
A.9.8.1 Conservation of energy means using less energy. [Tabor (98a), C]
A.9.10 (Flow transfer: energy is seen as a type of fluid transferred in some process.)
[Trumper(90), S9:75%; S10: 30%; S11: 56%])
A.9.13 (Energy as the transfer of something we are keeping track of from one
system to another, “accepted scientific concept”, not used.)
[Trumper (90),. S9: 25% of students used in 2% to10% of instances; S10: 40%
used in 7% to 12% of instances; S11: 67% used in 1% to 11% of instances.]
A.9.13.1 (Conservation of energy not used.) [Brook et al. (84), 15yo: 95%]
[Finegold and Trumper (89), 14-17yo: 80%]
A.10: Electricity (limited inventory) (See also C: Electrochemistry and E.3: Atomic
Structure/Electrical Force)
A.10.5 Batteries and cells have electric charge stored in them. [Steinberg (95)]
[CH, S12, C1: common]
A.10.5.1 Batteries and cells use up their charge in use.* [Steinberg (95)]
A.10.5.2 Batteries and cells can be revived by recharging them, which involves
putting charge back into them.* [Steinberg (95)]
A.10.5.3 A battery is a constant current source, regardless of resistance of
circuit.
[McDermott (92), C1a – C4: “most pervasive and persistent difficulty”.]
45
A.10.5.3.1 The current through the battery is independent of the rest of the
circuit. [McDermott (92), C1–C4: Key]
A.10.9 (Students fail to see circuits as a whole with every element possibly affecting
the functioning of the whole, and try to solve problems locally.)
[McDermott (92), C1 –C4] [Cohen (83), “many”]
A.10.10.1 For two light bulbs in series, something (“power”) is available and the
higher-wattage bulb will take more of it. [Cohen (83): “many”]
B. Basic Chemistry
B.1.1 What atoms are like is given by a particular model or diagram; there is only
one valid model of an atom. [Wheeler (78), S]
B.1.1.1 Atoms are hard, like billiard balls. [Wheeler (78), S: 54%]
B.1.1.1.1 Atoms have a definite volume and density.
B.1.1.2 Atoms are soft and fuzzy. [Wheeler (78), S: 38%]
B.1.1.3 Atoms are like building blocks.
B.1.1.4 Atoms have electrons circling them like planets around a star.*
46
[Cros (86), C1: ~10%; C4: ~10%; Key]
B.1.1.5 Atoms have shells, like onions.*
B.1.2 Atoms have the properties of bulk matter. (* B.2.2) [Kind (04): Key]
B.1.2.1 Copper atoms have the properties of bulk copper.
[Schmidt (97), S10: ~50%] [BenZvi, S10: 46%]
B.1.2.1.1 Copper atoms have the density of bulk copper.
[Mulford (95), C1a: 70%] [Ben-Zvi (86), S10: 46%]
B.1.2.1.2 Gold atoms are gold in color.
B.1.2.4 Atoms in solids have properties different from atoms in vapors.
[Ben Zvi (86), S10: 66%]
B.1.2.4.1 Mercury atoms are liquid. [Schmidt (97)]
B.1.2.4.2 Molecules of ice are hard and frozen. (* B.) [Lee (93)]
B.1.3 Atoms are alive (because they move.) [Griffiths (89, 92), S12: ~50%; Key]
B.1.3.1 Atoms are like cells with a membrane and nucleus.*
[Wheeler (78), S: 10%; Important]
B.1.3.1.1 Atoms can reproduce after the nuclei divide. (* B.1.4)
[Wheeler (78), S: <10%]
B.1.6 Matter exists between atoms. The space between atoms and molecules is not
empty. (*A.1, A.10) [Griffiths (92): >33%] [Kind: Key]
B.1.6.1 The space between atoms and molecules is filled with air. (*A.2, A.1.4)
[Kokotas (98): important.]
B.1.6.2 Copper consists of atoms of copper embedded in a matrix like raisins in
bread. (* A.1.4)
B.1.6.3 The space between particles contains “vapour or oxygen”. (*A.1.4)
[Novick (78) p.276, 16 yo+: 40%. (In Kind (04))]
B.1.6.4 The space between particles contains “a pollutant.” (*A.1.4)
[Novick (78) p.276, 16 yo+: 40%. (In Kind (04))]
B.2. Molecules
B.2.1 Molecules are basic, simple, indivisible entities. [Tabor(98a), C] [CH: Key]
B.2.3.1 Molecules expand when heated.* [Mulford (96), C1a: 10%] [Lee (93)]
[Griffiths (89), S12: >50%] [Griffiths (92)] [Kesidou (93), D10]
B.2.3.1.1 The size and shape of a water molecule is affected by temperature.
B.2.3.2 Pressure affects the shape of a molecule. [S12: >50%]
B.2.4.1 Molecules in a hot liquid are hotter than molecules in a cold liquid
. (*A.7) [deVos (87), 14-15yo: some]
B.2.4.2 Temperature is transferred from one molecule to another by heat
conduction. (*A.7) [Kesidou (93), D10]
B.2.5.1 Any diagram that contains different symbols for atoms, whatever their
location, represents a mixture. [Briggs and Holding (86), 15 yo: 50%]
B.2.5.2 Molecules are something that a substance "has".
B.2.5.2.1 Water is something different from H20 molecules. *
B.2.5.2.2 There is matter between molecules. (* A.1)
B.2.5.2.3 The space between molecules contains air. (* A.1)
B.2.5.3 Chemical reactions between gasses are simply mixing. (*B.6)
[Schmidt (97), 13-14yo: ~35%]
48
B.2.6 (Failure to understand the model that all molecules in a pure substance are the
same.)
B.2.6.1 Water molecules contain components besides O and H.
B.2.6.2 Water molecules are not all composed of the same atoms.
B.2.6.3 Water molecules contain different numbers of atoms.
B.2.6.4 Molecules in the same substance come in different sizes.
[Griffiths (89), S12: >50%]
B.2.9 Molecules with the same numbers and species of atom are isomeric only if they
belong to the same class of compounds. [Schmidt (95), Grade 12 and 13
elementary course: about half; Grade 12-13 Advanced Course: about 1/3]
B.3.4 (Students unable to use ratio and proportional reasoning needed for molar
problems.) [Shayer (70)]
B.3.4.1 (Students fail to apply reacting mass reasoning, assume all inputs will
combine.) [Barker (95), 16-17 yo: 32%; after 2-yr course: 16%]
B.4.0 The weight or mass of a substance changes as it melts or evaporates. Mass not
conserved. (*A.1.3, A.2, A.4) [Schmidt (97), S12: 91%; 18 yo: 54%]
49
[Kokotas (98)] [Stavy (90) 15 yo post instruction: 50%. (In Kind (04) p.16)]
[CH: Key]
B.4.0.1 Mass not conserved because “gas weighs less than liquid”.
[Stavy (90) (in Kind (04))]
B.4.0.2 Water (or alcohol) disappears as it evaporates. (* A.4) [Kokotas (98), D10]
[Lee(93)]
B.4.0.3 If ice is melted the resulting water will weigh less. * [Krnel (98), S]
B.4.0.3.1 A sealed container with a bit of liquid in it weighs less after the liquid
has evaporated. (*A.4)
B.4.0.3.2 Water molecules are largest and heaviest when in the solid phase.
[Krnel (98), S12: >50%]
B.4.1 Solid, liquid and gas are three types of same substance. One disappears as the
other appears. [Schmidt(97), S; Key]
B.4.1.1 Water is "modified" into vapor.
B.4.2 Solid, liquid and gas are different substances. One disappears as the other
appears. (* A.1.5) [Kind: Key]
B.4.2.1 In evaporation, molecules turn into something else; water (or alcohol)
"becomes" vapor. [Schmidt (97), S] [Kokotas (98), D10] [Lee (93)]
B.4.2.1.1 Water molecules are largest and heaviest when in the solid phase.
(*B.4.0) [Krnel (98), S12: >50%]
B.4.2.1.1.1 Water vapor molecules expand as they evaporate.
[Gabel (87), PT: some]
B.4.2.1.2 Alcohol turns into air on evaporation. [Lee (93), MS]
B.4.2.2.2 Bubbles from boiling water consist of air and oxygen gas.
[Bodner (91), G1b: 20% (!)] [Schmidt(97), S]
B.4.2.2.3 Bubbles from boiling water consist of hydrogen gas.
[Bodner (91), G1b: 5% (!)]
B.4.2.2.4 Bubbles from boiling water consist of oxygen and hydrogen gas.
[Osborne (83), 12 yo: 25%; 17 yo: 40%] [Mulford (96), C1a: 55%]
[Schmidt (97), S] [Kokotas (98), D10] [CH: Key]
B.4.2.2.4.1 Water evaporating from a dish is converted to oxygen and
hydrogen. [Osborne (83): S12: ~30%]
B.4.2.2.6 Boiling water becomes smoke. [Schmidt (97), S]
B.4.3 Freezing and boiling are examples of chemical reactions; a phase change is a
kind of chemical reaction. (* B.6.1) [Ahtee (98), C1: 8%; Key]
[Gensler (70): arguably true. (In Kind(04) p.25)]
B.4.6 (Freezing and melting of substances other than water not seen as the same
process.)
51
B.4.6.1 (Students have a very hard time with melting or vaporization at very
high or very low temperatures. High and low temperatures difficult to
visualize.) (*A.7) [Viennot (98)]
B.4.6.2 Freezing must occur at “cold” temperatures, boiling at “hot”
temperatures, without regard for the substance involved.
[Kind (04), p.20]
B.4.7.1 (Difficult for students to believe that once the transition from solid to
liquid is complete the temperature of the liquid will start rising again.)
[Tiberghien (84) (85)]
B.4.7.2 Ice is at 0 deg and cannot change temperature. [Common]
B.4.7.3 Freezing is like drying. [Schmidt (97), S; Key]
B.4.7.4 Bubbles mean boiling.
B.5.1 Melting and dissolving are the same thing. [Lee (93), MS: Key]
B.5.1.1 Salt becomes liquid salt when it dissolves. [Kokotas (98), D10]
B.5.1.2 Dissolving sugar melts, becomes liquid sugar. [Abraham (92)]
B.5.3.1 When sugar is dissolved in water the water takes on properties of the
sugar. [Schmidt (97), S]
B.5.3.2 When sugar is dissolved in water it takes on properties of the water.
B.5.3.3 Sugar becomes water on dissolving. [Lee (93), MS: "some"]
B.5.4 Weight is lost in dissolving, solution weighs less than ingredients. (*A.3)
[Mulford (96), C1a: 26%] [Lee (93), MS: 33%] [Driver (85), 9-14 yo: ~67%]
[Andersson (84), 15 yo: >50%]
B.5.5.1 (A strong solution of a salt contains more of that salt than a weak
solution, without regard to the quantity of solution.)
B.5.6.1 The concentration of salt in a saturated solution will increase when water
evaporates. [Mulford, C1a: 65%]
B.6.1.2.2.1 Mass lost in burning because petrol is changed into gas, heat or
kinetic energy. [Andersson (86) p.555, 15yo]
B.6.1.2.3 Physical changes are reversible while chemical changes are not.
[van Driel (98), S10: "most"; Key] [Taught in middle schools.]
B.6.1.5 (In chemical formulae, the atoms or reactants are simply tacked
together.) [Yarroch (85), Sa] [Lythcott (90)]
B.6.1.5.1 The H2 bonds are not broken in forming H2O. [Mulford (96)]
B.6.1.5.2 (Additive view of chemical reactions) In a chemical equation, 3N2
can be represented as NNNNNN. [Anderson (86), 12-15 yo: "many"]
[Yarroch(85), S:~50%]
B.6.3.1a Mass is not conserved. The products of chemical reactions need not
have the same mass as the reactants. (*A.3)
[Furio Mas (87), 12-18yo: 69%; 17-18 yo: 51%] [Schmidt (97): Key]
B.6.3.1b Weight is not conserved. (* A.3) [Furio Mas (87), 12-18yo: 74%]
B.6.3.1.1 New products, totally different, are produced in chemical reactions
and mass is not conserved. [Schmidt (97)]
B.6.3.1.2 Mass is lost in combustion. * [Mulford (96), C1a: 13%]
[Bou Jouade, S: 28%] [Basili (91), 73% (inferred by Mulford)]
B.6.3.1.3 A rusting nail will lose weight (not due to scaling).
[Bodner (91), G1: 10%] [Mulford, C1a: 38%] [BouJaoude, Sa:12%]
[Osborne (83)]
B.6.3.1.3.1 Rust “eats away” the metal.
[Brook (85),15yo:30% (in Kind (04))]
[Andersson (90) in Kind (04)].
B.6.3.1.4 When steel wool burns inside a closed flask, its weight or mass
changes. [BouJaoude: ~80% (inferred)]
B.6.3.1.5 A nail will be heavier after rusting by adding something (not due to
a reaction): water, rust, oxygen, oxygen and water. [Brook (85)]
[Andersson (84) in Kind(04) p.34.]
B.6.3.5 A rusting nail won't change weight. [Bodner (91), G1: 6%]
[Mulford (96), C1a:11%] [BouJaoude, Sa: 24%]
B.6.3.5.1 Rusting nail won't change weight because the rust was already in
the nail. [Schollum (81) p.13, in Kind (04) p.38] [Andersson (90)]
B.6.3.5.1.1 “The iron had only reacted with the oxygen in the air which
does not weigh anything.” [Driver, et al. (85) p.163]
B.6.3.8 (Role of oxygen in burning not recognized.) [Kind (04) p.44: Key]
B.6.3.8.1 Exhaust gasses from burning petrol weigh the same or less than
the petrol burned. [Barker (95), (99), 16yo: 86%; 18 yo: 60%]
B.6.3.8.2 The petrol going into the flame must equal what comes out.
(Weighs the same.) [Barker(95), Barker and Millar(99), 16yo: 44%; 18 yo: 30%]
B.6.3.8.3 Petrol is converted to light, heat or energy.
[Barker (95), (99), 16yo,18 yo: small proportions.]
B.6.3.8.4 Exhaust gasses from burning petrol weigh less than the petrol
because “gas is lighter”. [Barker (95), (99), 16yo, 18 yo: small proportion.]
B.6.4.2 Chemical bonds store energy. (* A.9.4) [Gayford (86), SB: 74%]
B.6.4.2.1 ATP contains "high energy bonds" which release energy when they
are broken. (* A.9.4) [Common belief, found in Biology texts.]
B.6.4.4 The internal energy of the system goes to zero at equilibrium. (*B.6)
[Thomas (98)]
B.6.5.4 (Students unable to distinguish between how far a reaction goes and how
fast it goes.) [Wheeler (78), S]
B.6.5.4.1 Reactions that proceed more rapidly also proceed further (more
completely.)
B.6.5.4.2 The reason temperature affects equilibrium composition is that
temperature affects the rate of reaction. (*
D.5)[Thomas(98),C4:25%]
B.6.7.1 Chemical equilibrium and a chemical steady state are static conditions. *
[Maskill and Cachapuz (89), 15yo,b: 76%; 15yo,a: ~76%] [Kind (04): Key]
B.6.7.1.1 Processes are driven by their seeking a state of equalization or
rest.
(*D.5) [Kesidou (93), D10: "common"]
B.6.7.1.2 The rate of reaction tends to zero as equilibrium is approached
(because Delta G approaches 0) *. [Johnstone (77), Sa: inferred,
"probably common"] [Hackling (85), S12a: common]
B.6.7.1.3 At equilibrium, most or all chemical reaction ceases. (*D.5.3)
[CH: Key]
B.6.7.1.4 The internal energy of the system goes to zero at equilibrium.
[Thomas (98)]
B.6.7.1.5 The Reverse reaction rate is the same as the forward rate from the
beginning. [Hackling (85), S12a: 17%]
B.6.7.1.6 The concentrations of all species in a reaction mixture are equal (or
57
have a simple arithmetic relationship) at equilibrium.
[Hackling (85), S: 50%] [Thomas (98), C4: 31%]
B.7 Combustion
B.7.1.1 Heat is in the fuel being burned and is not formed during combustion.
(*A.5.1)
B.7.1.2 Colors in a flame were present in one of the reactants. [Schmidt (97)]
B.7.1.3 Smoke formed during combustion was already present in the wood.
[Schmidt (97)]
B.7.2.1 If water appears during burning it was present in the wood or candle.
[Schmidt (97)]
B.7.3.1 Air above a flame is the same as air going into the burner.
[Schmidt (97), all ages: 50%]
B.7.3.1.1 Only air is above the flame. [Schmidt (97), 40%]
B.7.3.2 Oxygen aids combustion but does not participate. [Schmidt (97)]
B.7.5 A candle burning is endothermic, since heat is needed to initiate the reaction.
[Very common and robust, all ages.] [deVos (86): Key]
B.7.5.1 The fire in a candle came out of the match and went to the candle.
[Very common all ages]
B.7.5.2 The energy shown in {energy + CaCO3(s) = CaO(s) + CO2(g)} is an
activation energy. [Thomas 1998, C4: 31%]
59
B.8.1 An acid is something which eats material away or which can burn you.
[Hand (88) p.55, 16yo; Key] [Kind (04) p.47: Key]
B.8.1.1 Testing for acids can only be done by trying to eat something away.
[Hand (88) p.55, 16yo; Key]
B.8.1.2 The difference between a strong acid and a weak acid is that strong acids
eat material away faster than weak acids. [Hand (88) p.55, 16yo; Key]
B.8.1.3 (Particle ideas not used with acid-base reactions.) [Hand (88) p.55, 16yo]
B.8.4 A base/alkali inhibits the burning properties of an acid. [Kind (04) p.47: Key]
B.8.5 Hydrogen ions are present in acids, but acids remain molecular in solution.
[Kind (04) p.47: Key]
B.8.6 Mixing an acid with a base (without regard to quantities) neutralizes the base
resulting in a neutral solution. [Common]
B.8.6.1 In neutralization all the H and OH ions are canceled. [Common]
B.8.6.2 Mixing equal molar quantities of H3O and OH to distilled water results in
neutral water.
B.8.7 A base is an OH- donor. (Old definition) [Cros (86,88), C1, C2: many]
B.8.8 When Mg is placed in aqueous HCl, the acid is the driving force, because it is
very strong. (* A.8) [S12a: 9%]
B.9.1 Oxidation is the addition of oxygen in a reaction. [S: common] [Garnett (92)]
B.9.3 Changes in the charges of polyatomic species can be used to identify oxidation
or reduction equations.
B.9.3.1 Changes in the charges of polyatomic species can be used to determine the
number of electrons removed from or gained by reacting species.
B.9.4 The oxidation state of an element is the same as the charge of the monatomic
ion of that element.
B.9.5 Oxidation numbers or states can be assigned to polyatomic molecules and ions.
B.9.5.1 The charge on a polyatomic species indicates the oxidation state of the
molecule or ion.
C.1.3 Anodes are positive (negative) and cathodes are negative (positive) by
definition. [Taught in middle schools.]
C.1.4 Anodes, like anions, are always negatively charged and release electrons;
cathodes, like cations, are always positively charged, attract electrons. (* C.3)
[C1a]
C.2.1.1 Electrons can flow through aqueous solution without assistance from the
ions. [C1a]
C.2.1.2 Electrons move through solution by being attracted from one ion to
another.
C.2.1.2.1 Electrons move through electrolytes by being attracted to positive ions
61
in the solution. [Sanger (99): 6 of 10 textbooks; Important]
C.2.1.3 When an electrolyte conducts a current, electrons move onto an ion at the
cathode and are carried by that ion to the anode.
C.2.1.3.1 There is a high electron concentration at the anode, because electrons
go there.
C.2.1.3.2 There is a low electron concentration at the cathode, because electrons
are drained from there.
C.2.1.3.2.1 Electrons move from high concentration region at the anode to low
concentration region at the cathode.
C.2.1.4 Ions in solution can accept or deposit electrons at the electrode surface
without undergoing any chemical change. [Sanger (99): 6 of 10 textbooks.]
C.2.3 In a cell the anions and cations attract each other and this affects the movement
of ions to the electrodes. [S12: Important]
C.2.4 The movement of ions in a circuit does not constitute an electric current.
C.3.1 Anodes, like anions, are always negatively charged and release electrons, and
cathodes, like cations, are always positively charged and attract electrons.
(*C.1) [C1a]
C.3.1.1 The anode is positively charged because it has lost electrons. The cathode
is negatively charged because it has gained electrons. [C1a]
C.3.2 Electrons enter the solution from the cathode, travel through the solutions and
the salt bridge, and emerge at the anode to complete the circuit. [C1a]
C.3.2.1 Only negatively charged ions constitute a flow of current in the electrolyte
and the salt bridge. [C1a]
C.3.2.2 Electrons can flow through aqueous solution without assistance from the
ions. (* C.2) [C1a]
C.3.3 Cations and anions move until their concentrations are uniform. [C1a]
C.3.4 Half-cell potentials are absolute in nature and can be used to predict the
spontaneity of the half-cells. [C1a] [Sanger (99): "many" textbooks.]
C.3.5 The identity of the anode and the cathode depends on the physical placement of
the half-cells. [C1a]
C.4.1 In electrolysis, the direction of the applied voltage has no effect on the reaction
or the site of the anode and cathode. [C1a]
C.4.2 In electrolytic cells with identical electrodes connected to the battery, the same
reactions will occur at both electrodes. [C1a]
C.4.3 In electrolytic cells, oxidation occurs at the cathode and reduction at the anode.
[C1a]
C.4.4 In electrolytic cells, water is unreactive toward oxidation and reduction. [C1a]
C.4.5 No reaction will occur if inert electrodes are used. [C1a]
C.4.6 Inert electrodes can be oxidised or reduced. [C1a]
C.4.7 The calculated cell potentials in electrolytic cells can be positive. [C1a]
C.4.8 There is no relationship between the calculated cell potentials and the
magnitude of the applied voltage. [C1a]
C.4.9 Electrolytic cells can force non-spontaneous reactions that do not involve
electron transfer to happen. [C1a]
C.4.10 In electrolysis of water the entire tube of water has been changed to hydrogen.
* [S] [Naive observation, common]
D. Thermodynamics
D.4.1.1 Heat is energy that is added to something. * [Thomas (98), C4: 42%]
D.4.1.2 Enthalpy is the heat contained in the system. [Beall (94)]
D.4.1.3 The enthalpy change, Delta H, is the same as the internal energy
change,
Delta U. [Thomas 1998, C4: 38%]
D.4.1.4 Reactions in solution: chemical change involves simply a transfer of
energy between the water molecules (non-bonding energy) to the bonds
63
being formed, and the resulting temperature of the water depends on
the
amount of non-binding energy left. [Cachapuz (87), S12]
D.4.2.1 The work done depends only on the initial and final states of the
system.
(Work is a state variable.) [Meltzer (01), C1a: 20%]
D.4.2.2 Heat absorbed is independent of process, depends only on the initial and
final states. [Meltzer (01), C1a: 22%]
D.4.2.3 No heat is transferred under isothermal conditions.
[Thomas (98), C4: 60%]
D.4.2.4 (Students fail to see that work done by a reaction comes at the expense
of
heat released.) [Johnstone (77), Sa: >50%]
D.4.3 The internal energy of the system goes to zero at equilibrium. (* B.6, D.5)
[Thomas (98), C4: 38%]
D.4.4.1 Energy is conserved if the initial and final internal energy of the system
is
the same. [Thomas (98), C4: 25%]
D.4.4.2 Delta E = 0 for any isothermal process. (True only for ideal gas.)
[Granville (85), S11a: common]
D.4.5 (Reversibility)
D.4.5.1 The change in internal energy from heating and work is not reversible.
[Thomas (98), C4: 88%]
D.4.5.2 Thermodynamic reversibility is equivalent to a reaction being able to
proceed in either direction. [Thomas (98), C4: 69%]
D.4.5.3 Thermodynamic reversibility is equivalent to returning a system to its
initial state after it has already proceeded to equilibrium.
[Thomas (98), C4: 50%]
D.4.6.2 Compressed gas expanding against the atmosphere becomes cold, like a
CO2 fire extinguisher. [Beall (94), C1a]
64
D.4.6.3 Compressed gas expanding against the atmosphere fails to come into
equilibrium with the atmosphere. [Beall (94), C1a: 11%]
D.4.6.4 All ideal gas processes are isothermal. [Beall (94), C1a]
D.4.6.6 (Mean distance between particles and mean kinetic energy of particles
conflated) (* D.4.6) [Rozier (1991), inferred.]
D.4.6.6.1 In solids, such as glass and plastics, molecules are squashed against
each other and cannot move. [French textbook, in Rozier (91)]
D.4.6.6.2 When cooling down a liquid, particles become motionless without any
order; it is an amorphic solid.
[French printed university material, in Rozier (91)]
D.4.6.6.3 Particles need more room to move faster.
[French popular science book, in Rozier (91).]
D.4.6.6.4 The same amount of heat transferred to the same number of particles
of a perfect gas will produce less temperature increase if they are in a
larger volume. [Rozier (91), C: 37%]
D.5.2.1 According to the second law the entropy of the system must increase.
[Thomas (98), C4: 44%]
D.5.2.2 “Delta S” = 0 for any adiabatic process. (True only if process is
reversible.) [Granville (85), S11a: common]
D.5.2.3 Delta S for the system must be positive for any spontaneous process.
[Granville (85), S11a: common]
D.5.2.4 An increase in entropy means an increase in temperature.
[Johnstone (77), inferred]
D.5.2.4.1 As a rubber band relaxes and it's entropy increases its temperature
must increase. [Johnstone (77), Sa: ~50%]
65
D.5.4.4 One of the reactants in a reaction (the dominant reactant) is the driving
force. [Bou (98)]
D.5.4.4.1 When Mg is placed in aqueous HCl, Mg is the driving force. It is very
reactive and drives the reaction. (* A.8) [Cachapuz (87), S12a: 27%]
D.5.4.4.2 When Mg is placed in aqueous HCl, the acid is the driving force,
because it is very strong. (* A.8) [Cachapuz (87), S12a: 9%]
D.5.4.4.3 When lead nitrate reacts with aqueous sodium chloride, sodium
replaces lead because it is more reactive. [Cachapuz (87), S12a: 50%]
D.5.4.5 Reactions are caused by atoms trying to fill shells. * [Tabor (98a), C]
66
D.6 Spontaneous Change and Gibbs free energy.
D.6.1 Delta G is the thermal energy transferred into or out of the system.
[Thomas (98), C4: 25%]
D.6.2 (Gibbs free energy treated as an absolute value.)
D.6.2.2 Conservation of mass is not considered in looking for the free energy in
a
process. [Thomas (98), C1: 100%]
D.6.5 “Delta G” < 0 for any spontaneous process. (True only for isothermal, constant
pressure changes.) [Granville (85), S11a: common]
E.1.1.1 Atoms have electrons circling them like planets around a star. * [Olenick]
E.1.1.1.1 The wave function describes the trajectory of an electron. [Olenick]
E.1.1.1.2 Electrons can be in any orbit they want. [Olenick]
E.1.1.3 Atoms are like cells with a membrane and nucleus. * [S: 10%; Important]
[Wheeler (78), S]
E.1.1.3.1 Atoms can reproduce after the nuclei divide. [S: <10%]
E.1.1.4 The size of an atom depends on the number of protons it has. [S12: >50%]
E.2.2 The force attracting electrons in the first (inner) shell would be much greater
67
if
the other shells of electrons were removed. [Tabor (97), C: 70%]
E.2.3 The electron shell is a matrix of some kind of stuff with electrons embedded in
it. [Wheeler (78), S]
E.2.3.1 The electron cloud is like a rain cloud, with electrons suspended in it like
droplets of water. The cloud contains the electrons but is made of
something else. [Wheeler (78), S]
E.2.4 Reactions are caused by atoms trying to fill shells. (* B.6.2) [Tabor (98a), C]
E.3.1 Coulomb's law doesn't work inside the atom. It works in physics but not in
chemistry. [Tabor (97), C]
E.3.2.1 A charged body gives rise to a certain amount of force which is available
to be shared among oppositely charged bodies around it. (* A.8) [Tabor (98b), C]
E.3.2.1.1 Nuclear force gets spread over a number of electrons; none is left
over to attract another electron. (* A.8) [Tabor (97, 98b), C: 72%]
E.3.2.1.2 If there are fewer electrons than protons the attraction felt by each
electron increases. [Tabor (98b), C] [Tabor (97), C: 79%]
E.3.2.1.3 As electrons are removed from an atom the net nuclear charge acting
on the remaining electrons will increase. [Tabor (98b), C]
[Tabor (97), C: 69%]
E.3.2.1.4 Because a negative ion has more electrons than protons, the effective
nuclear charge attracts the electrons more and pulls them in closer
to the nucleus. [Tabor (97), C (paraphrased)] [Tabor (98b), C]
E.3.2.1.5 The second ionization energy is greater than the first as there are
fewer electrons in the shell to share the attractive force of the
nucleus. [Tabor (98b), C]
E.3.2.1.6 The nucleus attracts all electrons around it equally. [Tabor (98b), C]
E.3.2.2 Nuclear forces are like tentacles; each one is attached to an electron.
E.4.1. Atoms “want” or “need” to form bonds. [Taber (96), “students and teachers”:
extensive. (In Kind (04) p.55)] [Kind (04) p.61: Key.]
E.4.2 The chemical bond is a physical thing made of matter. [S12a: common]
E.4.3 There are only two types of bond – covalent and ionic. [Kind (04) p.61: Key]
E.4.4 Bonds store energy. (* A.9) [Ross (93)] [Kind (04) p.66: Key]
E.4.6 The central (first) element in a formula is more powerful, and is responsible
for bond formation. [Kind (04) p.61: Key]
E.4.7 Covalent bonds are weaker than ionic bonds. [Kind (04) p.61: Key]
E.5.2.1 The number of ionic bonds an ion can form is determined by the
electronic configuration. [Taber (97): Key]
E.5.2.2 Ionic bonds can only form between the electrons that have donated or
contributed electrons. [Taber (97): Key]
E.5.2.3a (A key factor in ionic bond formation is the generation of “full electron
shells.”) [Kind (04) p.58; inferred.]
E.5.2.3b (The octet rule drives the chemical reaction.)
[Bodner (91), G1: “by far the most common (misconception)”]
E.5.2.3.1 Chlorine wants to obtain another electron. [Bodner (91), G1]
E.5.2.3.2 Every element wants to obey the octet rule. [Bodner (91), G1]
E.5.2.3.3 The driving force is for Na and Cl to have a filled octet.
[Bodner (91), G1]
E.5.2.3.4 Sodium metal is very unstable, it wants to give up electrons badly to
become Na+. [Bodner (91), G1]
E.5.2.3.5 The electron affinity for Cl is greater than the energy required to pull
an electron off of Na. Therefore Cl can remove an electron from Na.
[Bodner (91), G1]
E.5.3.1 Ionic bonds can only form between one sodium ion and one chlorine atom,
so ion interaction with other ions are “just forces”, not bonds.
[Taber (97): Key]
E.5.3.2 Na+Cl- bonds are not broken in dissolving; only inter-molecular bonds
are broken. [Cachapuz (87), S12a]
E.5.3.3 Bonds within "ionic molecules" are stronger than inter-molecular forces.
[Cachapuz (87), S12a]
E 5.4 Ionic charge determines the polarity of the bond. [Birk (99), C1: 12%]
E.5.6 Covalent bonds are weaker than ionic bonds, and break first on heating.
(* E.6) [Barker (95), 17yo,b: 24%; 18yo,a: 14%] [Kind: Key]
E.5.7 Covalent bonds have lower boiling points, so require less heat to vaporize.
(* E.6) [Barker (95), 17yo,b:22%; 18yo,a: 31%]
E.6.1 Atoms are held together because they share electrons, so sharing electrons is
like a force. (* E.4, A.8) [Tabor (98a), C] [CH: Key]
E.6.2 Atoms form bonds in order to satisfy the octet rule. [Tabor (98a), C]
E.6.2.1 Atoms lend and borrow electrons to satisfy the octet rule.
E.6.2.1.1 Electrons know which atom they came from. [Tabor (98a), C]
E.6.2.1.2 Atoms know who owes them an electron. [Tabor (98a), C]
E.6.3 Sharing an electron means one atom donates an electron which is shared by
both atoms. * [Cachapuz (87), S12a; Key]
E.6.6 Covalent bonds are weaker than ionic bonds, and break first on heating.
(* E.5) [Barker (95), 17yo,b: 24%; 18yo,a: 14%] [Kind (04): Key]
E.6.7 Covalent bonds have lower boiling points, so require less heat to vaporize.
(* E.5) [Barker (95), 17yo,b: 22%; 18yo,a: 31%]
E.7.1 The strengths of covalent bonds and intermolecular forces are similar. *
E.7.2 Van der Waals force bonds aren't really chemical bonds, they are really just a
force. [Tabor (98a), C]
E.7.4 Hydrogen bonds between water molecules are “liquid” or “weak” bonds.
[Barker (95), 17yo,b: 20%; 18yo,a: 8%]
E.7.7 Silicon carbide has a high melting point because of “strong intermolecular
forces. [Peterson (93), C1: 36%]
***********************************************************************
71
Appendix 3: References
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72
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73
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Driver, Rosalind, and Bell, Beverly (1986). Students’ thinking and the learning of science: a
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75
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This paper was printed (without Appendix 2 and with abridged References) in the California
Journal of Science Education, Volume VII, Issue 2 – Spring, 2007, and is available on their
website at http://www.cascience.org/altchemconceptions.doc. It is also posted at the website
www.daisley.net/hellevator/misconceptions/misconceptions.pdf.
Christopher Horton
24 Beeching St.
Worcester, MA, USA 01602
chrisahorton@yahoo.com
508-963-1399