Kinch in 2000
Kinch in 2000
To cite this article: Ian M. Kinchin (2000) Concept mapping in biology, Journal of Biological Education, 34:2, 61-68, DOI:
10.1080/00219266.2000.9655687
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                                                                   C a s e Study
                                                                     Concept mapping in biology
                                                                     Ian M. Kinchin
                                                                     School of Educational Studies, University of Surrey, Guildford, UK
                                                                       Concept mapping is an activity with numerous uses in the biology classroom. Its value in planning, teaching,
                                                                       revision, and assessment, and the attitudes of students and teachers towards its use, are discussed.
                                                                       Comments made are illustrated with excerpts from interviews with teachers and students who were involved
                                                                       in classroom concept mapping exercises. The use of expert maps for scoring is described, and some of the
                                                                       pitfalls are considered. Finally, the value of concept mapping as an aid to reflective practice is discussed.
                                                                       Key words: Graphic organisers, Meaningful learning, Personalised meaning.
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                                                                                                                                                                                Formative learning
                                                                                                       ANIMALS
                                                                                                                                                                                    Previous studies have suggested
                                                                                                                                                                                   that the use of concept mapping
                                                                                               A - ^              ^ *                                                               in classes can help students to
                                                                                                                                                                       M
                                                                                      INVERTEBRATE              VERTEBRATE                                             0            gain a more unified understand
                                                                                      -7-                                                                              R            ing of a topic, organise their
                                                                                  mostiv         are
                                                                               z:
                                                                                                                                                                       E
                                                                                                                                                                                    knowledge for more effective
                                                                                                       COLD                 WARM                                       S            problem solving, and understand
                                                                            ARTHROPODS                                                                                 P
                                                                                                     BLOODED              BLOODED                                      E
                                                                                                                                                                                    how they learn (i.e. become
                                                                        —r=^—                                            insulated with
                                                                                                                                                                       C
                                                                                                                                                                       I
                                                                                                                                                                                    more metacognitively aware). It
                                                                                                                                                                       F
                                                                                                                                                                                    has been suggested that the pro
                                                                                                                    ~jT               ^                                I            motion of meaningful learning
                                                                      TERRESTRIAL               MARINE             FUR j               FEATHERS                        C
                                                                                                                                                                                    resulting from concept mapping
                                                                    eg-                     eg-                  eg-                   eg-                                          can act to reduce subject-based
                                                                    beetles                 crabs                shet                  robins
                                                                   flies                                         cats                 penguins
                                                                                                                                                                                    anxiety and overcome differen
                                                                                            lobsters
                                                                                                                                                                                   tial gender-related performance
                                                             Figure 1 A concept map giving one perspective on 'animals'.                                                           with respect to learning and
                                                                                                                                                                                   achievement in science. Concept
                                                             right answer to this, but mappers should be discouraged from                     mapping     can  also  be  used  as a  cognitive approach to compen
                                                                                                                                              sate when    a learner   exhibits a one-sided   learning strategy (Huai,
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                                                             teachers) aware of w h a t they already know in a given topic area.                 concept maps in this way, it was anticipated that future advance
                                                             The following extract gives a teacher's perspective on t h e p r o b               organisers would be presented with gaps, so that the students will
                                                             lems caused w h e n students are not prepared in this way. It is                    have to work out more of the connections for themselves.
                                                             taken from an interview with a biology teacher in whose classes
                                                             I had been using concept mapping with t h e students:                               Identifying      misconceptions
                                                                                                                                                 T h e importance of s t u d e n t misconceptions and t h e impact they
                                                               '...they c o m e to a lesson with like a 'blank head', and w e                    have on further learning has been well d o c u m e n t e d in t h e
                                                               think w e are delivering a curriculum that's building on past                     research literature. In a large proportion of t h e studies reported,
                                                               experience, b u t t h a t isn't w h e r e they're coming from. T h e y            concept m a p p i n g has been used as a tool to reveal these miscon
                                                               come in with a, "well, w h a t are w e doing today?", and you                     ceptions. Many such misconceptions are so c o m m o n among stu
                                                               might start off by saying, "well, you'll r e m e m b e r last w e e k             dents of any given age group that they can be anticipated. For
                                                               ...", b u t you have t o do t h a t for t h e m . T h e y d o n ' t c o m e in    example, in studies that I have undertaken in a variety of sec
                                                               thinking, "oh, last week I had some starch and amylase, and I                     ondary schools, t h e majority of t h e Year 1 0 ( 1 4 - 1 5 year old) stu
                                                               noticed that t h e starch disappeared w h e n they w e r e m i x e d —            dents w h o have drawn m a p s of photosynthesis, have revealed
                                                               I w o n d e r w h a t else I could find out". ... t h e y d o n ' t bring with    their belief that plants absorb food from t h e soil. However, to pre
                                                               t h e m t h e knowledge that you are expecting t h e m t o have.                  s u m e that all Year 10 students hold this belief would be wrong. It
                                                               N o w I think it's in there, b u t it's sort of been filed away. ...              is also clear t h a t similar misconceptions contain variations in
                                                               they simply don't bring that with t h e m , n o t at t h e front of               detail. As Chi et al. (1994) noted, 'even though the false beliefs
                                                               their minds so I need to find a way of getting it.'                               of a significant minority of students may share similar elements,
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                                                                                                                                                 they are not t h e same beliefs'. For example, regarding plant acqui
                                                             T h e use of concept m a p s as advance organisers has been shown                   sition of food from soil, some students were including minerals as
                                                             to help learning by addressing t h e p r o b l e m highlighted above                food items (based on their understanding of t h e components of a
                                                             (e.g. Willerman and Mac Harg, 1991). However, t h e r e is a dan                   balanced diet), while others were considering carbohydrates
                                                             ger that a concept m a p presented to a class to use as an advance                  (which they t h o u g h t were released from decaying animal remains
                                                             organiser may be viewed as 'the right answer' to simply m e m o                    in t h e soil as part of t h e Carbon Cycle). Concept mapping is able
                                                             rise. This is not t h e point of a concept m a p — it is i n t e n d e d to         to reveal t h e detail of individual misconceptions in this way so
                                                             reveal t h e personal p e r c e p t i o n s of t h e m a p ' s author.              that teachers can address each one in an appropriate manner.
                                                             Memorisation would be taking learning away from a construc-
                                                             tivist standpoint and from t h e active use of concept mapping,                     Directing      reading
                                                             towards a more passive reproduction of received information.                        C o n c e p t m a p p i n g has b e e n referred t o by N o v a k and
                                                             This highlights t h e difference b e t w e e n using 'concept m a p p i n g '       Symington (1982) as providing an interface b e t w e e n students'
                                                             as a learning activity and using 'concept m a p s ' t o summarise                   cognitive frameworks and textual information (summarised in
                                                             information — only in t h e for
                                                             mer is t h e h u m a n construc-
                                                             tivist p h i l o s o p h y ( o u t l i n e d                                                   AIR
                                                             above) implicit.
                                                                The map in Figure 2 was                                                                  contains
                                                             supplied to a Year 8 (12 - 13
                                                             year old) class as an advance
                                                             organiser. It summarises a sec
                                                                                                                               CO,
                                                                                                                                                            io,                                p.66
                                                             tion from the students' text
                                                             book (Johnson et al., 1994) in
                                                                                                                            T
                                                                                                               tested for using           expelled by    absorbed by
                                                                                                                                                                                   not really involved
                                                                                                                                                                                   in body processes
                                                             which a number of related top
                                                             ics are considered. This was
                                                             given to help them navigate                   LIMEWATER                                     LUNGS                        HAEMOGLOBIN
                                                             through the section, as some of                            p.68                                                                          p.75
                                                             the students were failing to                                            damaged by
                                                             recognise t h e links b e t w e e n
                                                             ideas. It was also meant to act as
                                                             a revision guide for tiieir end of
                                                                                                                                      i
                                                                                                                                  CIGARETTE
                                                             topic test, and so page numbers                                        SMOKE            p.68
                                                             were included. T h e          map
                                                             included general ideas (such as                                          contains
                                                             'heart') and it was intended that
                                                             students would generate more
                                                             specific concept maps during
                                                                                                                  NICOTINE
                                                                                                                                /J_\      TAR            CO                         BLOOD
                                                                                                                                                                                               h
                                                                                                                                                                                                   pumped
                                                                                                                                                                                                      by
                                                                                                                                                                                                             f
                                                                                                                                                                                                                 HEART
                                                                              L
                                                                    Concept mapping                8 a »* * »
                                                                                                                                        A.
                                                                                                                            Concept mapping
                                                                                                                                                                   ing to make sense of the subject matter.
                                                                                                                                                                   They do this by selecting and organising rel
                                                                                                                                                                   evant information and making links
                                                                         _    —
                                                                                   K
                                                                                                                                          7                        between concepts'. Concept mapping helps
                                                                                                                                                                   in this process and is thought to be more
                                                                                                                                  reduced to propositions
                                                                            transformed by                                        and transmitted as
                                                                                                                                                                   effective than other reading strategies (such
                                                                                                                                                                   as underlining), because it requires students
                                                                                                   Linear sequences                                                to process text at a deeper level (Amer,
                                                                                                     (text, lectures)                                              1994).
                                                             Figure 3 A cycle illustrating how concept mapping acts as an interface between cognitive structures
                                                                                                                                                                   Focusing discussion
                                                             and text (adapted from Novak and Symington, 1982).                                                   As part of the introduction I provided to a
                                                                                                                                                                  series of Year 8 classes on concept mapping,
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                                                             Figure 3). They emphasise that:                                                I used 'teeth' as a training vehicle. From the students' textbook,
                                                                                                                                            I selected some concepts from the section on teeth and printed
                                                               'The problem of moving from linear [text] structure to a                     them on to an OHP acetate. These were then cut up so that
                                                               hierarchical [psychological] structure and back again is in                  they could be placed on the OHP screen and moved around. I
                                                               some ways the fundamental educational problem.'                              told the students that 'teeth' was the big idea that would go at
                                                                                                                                            the top of the map, but asked them to suggest positions for the
                                                             Concept mapping can help to move reading from a passive                        other concepts. They also had to suggest the wording to
                                                             experience towards one that is more active and requires the stu               describe the link between them. In this way a class discussion
                                                             dent to manipulate or transform the material to be read. Davies                developed with students having to justify their decisions and
                                                             and Greene (1984) describe the way in which teachers are often                 gradually reach a consensus (Figure 4). Arrows were included
                                                             vague in their instructions when setting reading tasks. This is                on the OHP, but linking statements were not, partly because
                                                             particularly problematic when tasks are to be completed for                    this would have obscured the map structure on the screen, but
                                                             homework, when teacher support is not available and when                       more importantly because I wanted each student to copy the
                                                                                                                                            map into their notes, and personalise it by including their own
                                                               '...reading purposes are no more specific than "read these                   linking phrases. This gave every student an agreed 'core' to their
                                                               pages/chapter for revision or a test" or "make notes from this               maps. Those students who completed this task quickly were
                                                               section". Giving a general instruction like this is analogous to             then asked to build upon this core by including other ideas from
                                                               giving pupils a general instruction to do an experiment with                their text book or from their own knowledge (such as 'tooth
                                                                                                                                            paste' or 'dentist'), and deciding how they link with other con
                                                               out any indication of the particular purpose of the experi
                                                                                                                                            cepts. This, therefore, became a differentiated activity in which
                                                               ment or of how to go about doing it'.
                                                                                                                                            everyone in the class was stretched to their ability, but was also
                                                                                                                                            set an achievable goal.
                                                                In a concept mapping analysis of interpretations of text from
                                                             a GCSE biology textbook,
                                                             Kearsey (1998) concluded
                                                                                                                                       TEETH
                                                             that it is not safe to assume
                                                             that the meaning or structure                                   i  ■ /  .._/   \ ~^^^
                                                             of the text are shared by
                                                             teacher and student. He stat                                                      w
                                                                                                                                                ^                             ^ \ ^
                                                             ed that, 'If teachers require               4 TYPES              11  ENAMEL        FOOD -                              -► BRUSHING
                                                                                                                                                1
                                                             there to be consensus on                     incisors                                1
                                                             meaning within teaching situ                canines
                                                             ations, they must provide stu
                                                             dents with experiences which
                                                                                                          pre-molars
                                                                                                                                              f3ACTERI/Si
                                                                                                                                                                   V
                                                             enable a consensus to be
                                                             reached based on the individ
                                                                                                                                                  1
                                                                                                                                          j
                                                             ualistic readings of text'. The
                                                                                                     1
                                                             use of concept maps as                    Dotted areas indie.ate
                                                                                                     : blank spaces in wrich to |                ACID
                                                             advance organisers (described             add links.
                                                             above) may be of value in
                                                             gui l g students tnrougn          ,    figure 4 An outline core of a concept map on teeth in which the students were required to add their own linking
                                                             signposting key concepts, and statements.
                                                                T h e benefit of focusing on a m a p during a discussion is that                recognises t h e i m p o r t a n c e of 'invalid' or inaccurate links and
                                                             it reduces strain on t h e working m e m o r y of t h e participants. As           their influence on a student's overall framework as they will
                                                             agreement on various statements within a developing m a p                          contribute t o t h e direction and effectiveness of future learning.
                                                             changes, students can still 'see' w h e r e their ideas fit in with t h e          These m a p s could t h e n b e used to group students w i t h o u t ref
                                                             group consensus. To support discussions among smaller groups,                      erence to perceived ability or to achievement in earlier modules.
                                                             the use of sticky 'Post-It N o t e s 0 ' has a n u m b e r of benefits. T h e y    In c o m m o n with t h e S O L O t a x o n o m y developed by Biggs and
                                                             allow individuals to think o u t part of a m a p on their own, and                 Collis (1982), this qualitative assessment is based on t h e struc
                                                             then integrate their ideas with those p r o d u c e d by their col                ture of an observed learning o u t c o m e on a particular day, in a
                                                             leagues w i t h o u t having to re-write everything. Sticky notelets               particular topic area, and does n o t assume an overall 'ability' or
                                                             also allow for repeated repositioning of concepts on a m a p , per                'developmental stage'. C o n c e p t m a p p i n g can, therefore, help to
                                                             mitting reflection on t h e differing perspectives presented by                    avoid unnecessary labelling of students. W h e r e a s t h e S O L O tax
                                                             various group members.                                                             o n o m y has been shown to provide a m e c h a n i s m for setting and
                                                                                                                                                evaluating curriculum objectives, it is n o t yet clear if interpreta
                                                             Differentiation for collaborative           learning                               tions of concept m a p structures could b e used for similar pur
                                                             Most studies on collaborative learning agree that group c o m p o                 poses.
                                                             sition is one of the key factors affecting successful group d y n a m                T h e r e are a n u m b e r of m a p characteristics t h a t can b e used
                                                             ics (e.g. Wood and O'Malley, 1996]. T h e literature describes a                   as indicators of t h e level of expertise exhibited by t h e map's
                                                             trade-off between creating groups w h e r e individuals bring dif                 author (summarised in Table 1). Recognition of these will assist
                                                             ferent perspectives to t h e task, b u t w i t h o u t creating a counter         in t h e formative evaluation of students' maps.
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                                                                      WATER
                                                                               / _i_ \            co2               SUNLIGHT
                                                                                                                                          2. Plants absorb C0 2
                                                                            to              f
                                                                                             i.   AIR              f ENERGY ]
                                                                                                                                           5. C 0 2 is found in the air
                                                                     2          \
                                                                                                holes on
                                                                                                                  1                    10. Plants use photosynthesis                  even though some excellent
                                                                                                           J-
                                                                                          LK
                                                                                                                        FOOD                                                          ideas may also be represented.
                                                                                                                                       11. Food is made in leaves        110%
                                                                       from          ;
                                                                    ROOTS           V
                                                                                    to
                                                                                           LEAVES
                                                                                                                                                                                      If pre-instructional maps were
                                                                                                                                                                                      scored in this way, all three
                                                                                                                                       12. Photosynthesis produces energy             scores may be of interest and
                                                                                                                                       13. Energy is used as food         90%         could be used to compare a
                                                                                                                                                                                      student's 'before' and 'after'
                                                             Figure 5 (a) An 'expert' map of photosynthesis (also shown reduced to a list of 10 propositions). This is not intend- understanding of a topic and
                                                             ed to be a comprehensive map for a topic, but only show the points a teacher wishes to cover in a particular lesson indicate the degree of conver
                                                             sequence, and how they interrelate, (b) A hypothetical student's map which has been marked according to the occur-
                                                             rence of propositions from the 'expert' map in 5(a), showing three possible scores depending upon what the teacher wish- gence       (or     divergence!)
                                                             es to acknowledge (as described in the text). Note the number of propositions in the list is greater than the number in between the students' views
                                                             the map — 'water transported to leaves' has been interpreted from two other propositions forming a chain. The mark- and the teacher's view. It can
                                                             er needs to decide whether to engage in such interpretation or to simply accept the stated propositions at face value.
                                                                                                                                                                                      be seen that even a straight
                                                             appealing for its apparent simplicity, there are some problems                       forward comparison such as that presented in Figure 5 presents
                                                             associated with this approach which can be illustrated by refer                     the teacher with some dilemmas (or opportunities!) which may
                                                             ence to the hypothetical example given in Figure 5. The map in                       deter him/her from quantitative scoring of concept maps
                                                             Figure 5(a) is a possible 'expert' map showing a basic framework                     altogether.
                                                             that a teacher might hope for his/her Year 9 ( 1 3 - 1 4 year old)
                                                             students to have at the end of a lesson sequence on photosyn                        Attitudes towards concept mapping
                                                             thesis. This could be viewed as a 'base-line' upon which student                     It has been found that when first introduced to concept map
                                                             could later develop their knowledge and add more concepts.                           ping, the attitudes of teachers and students are generally posi
                                                             This map is also shown reduced to a list of the ten propositions                     tive. Though some negativity should be anticipated if students
                                                             embedded within it. Student maps could then be marked                                are suddenly given more responsibility for their own learning
                                                             according to how many of these propositions are incorporated                         during concept mapping exercises than they are used to.
                                                             in them — so that a student with five of these propositions                          Teachers have commented that their students prefer to be
                                                             would score 50 per cent; six would score 60 per cent and so on.                      'spoon fed', rather than having to work out problems for them
                                                                 However, if one marks the map in Figure 5(b) in this way, the                    selves, and that many students were concerned with producing
                                                             teacher has to decide what to acknowledge and what to ignore.                        the 'right answer', rather than displaying what they do or do not
                                                             know, either in a concept map or by any other means.                     ping] produce qualitatively better learning, because of the
                                                                The constructivist stance values and builds upon students'            internal connections between idea units and current knowl
                                                             prior knowledge, but must also recognise students' existing              edge. 'Generative processing' refers to the degree to which
                                                             study strategies as these also form part of a student's knowledge        the learner is able to actively build these connections'.
                                                             framework. A lack of recognition of a student's existing strategy
                                                             may cause problems if meaningful learning is not part of his/her          The problem is that traditional testing does not often expose
                                                             agenda. Novak (1981b) pointed out that 'some students who              such connections, and so the value of such learning may not be
                                                             are whizzes at rote memorization object to concept maps, for           registered or recorded. In responding to this, Hyerle (1996) has
                                                             rote learning has little value in concept mapping'.                    called for a shift in the focus of future teaching, learning, and
                                                                Other students may be learning meaningfully already and             assessing away from remembering 'isolated things' towards a
                                                             may be employing strategies similar to concept mapping, possi         recognition of 'how students interactively construct the pattern
                                                             bly subconsciously. One teacher I interviewed commented that           that connects'.
                                                             it was not helpful 'trying to overlay something on a process that         Like all teaching tools, concept mapping is not a panacea; it
                                                             they were doing already'. This point has been recognised recent       will not suit all learners or all learning situations. However, the
                                                             ly by Slotte and Lonka (1999) who stated that 'it is possible that     biology teachers with whom I have worked over the past 2 years
                                                             the instructions given by researchers limit or interfere with stu     have embraced concept mapping with enthusiasm and dis
                                                             dents' customary approach to learning'. Views of the teachers          played a natural curiosity in the technique. It has also encour
                                                             involved in my own work reflect the comments in the literature,        aged them to question their teaching and to reflect upon their
                                                             that it is preferable to introduce concept mapping earlier in a        students' learning. This in itself may provide long term benefits
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                                                             student's academic career rather than later, so they can more          to their classroom environment by encouraging in them devel
                                                             easily integrate it into their developing study strategy (eg.          opment of the characteristics of learner empowerment, as dis
                                                             Santhanam et al, 1998). Students who tend to embrace the use           cussed by Cannella and Reiff (1994); these are inquisitiveness,
                                                             of concept mapping are those whose study habits are not                enthusiasm, reflection, and autonomy. An aspect of concept
                                                             already well-defined.                                                  mapping in which there has so far been little research is the
                                                                A comment from a Year 10 student who had been engaged in            effect of its classroom use on in-service teachers' beliefs and
                                                             concept mapping exercises for a number of weeks while study           practices. Teachers have participated in considerable change
                                                             ing photosynthesis (but not in a subsequent topic) suggests that       over the past decade, but the personal detail of teachers' expe
                                                             students find it difficult to look beyond the task in hand and         riences of transition is known largely from anecdotal evidence.
                                                             need time to reflect upon their learning:                              Lasley et al. (1998) have commented upon this:
                                                                 'I must admit, I came in here thinking "I dunno, concept             'We know that people can and do change when innovations
                                                                 mapping — a bit dodgy?". But just looking back and thinking          are introduced, but we have much yet to learn about the 'his
                                                                 how bad my test results have been since then ... at first every     tory' that develops as teachers begin to practice new ideas
                                                                 one was just like "oh, extra work; new things to learn; extra        and reflect on their own growth.'
                                                                 tests", but in the long run it probably has helped us, we just
                                                                 didn't know it because we weren't too keen on doing it.'              It is possible that a constructivist application of concept
                                                                                                                                    mapping as a classroom tool may act as a catalyst to promote
                                                             After the interview was concluded, the student went on to say          such personal reflection and also, through teachers' maps, pro
                                                             that discussing her maps had been very beneficial and had              vide a means of accessing 'developing histories'. Such an
                                                             helped her to clarify a number of points that she had not previ       approach respects the constructivist philosophy and recognises
                                                             ously understood. One-to-one interviews of this sort are not           that effective teachers are also active learners [sensu Shymansky,
                                                             really a viable classroom strategy, but the brief conversations        1992). The use of concept mapping to widen the perspective of
                                                             between teacher and pupil, that are a typical feature of class        teacher reflection has been explored by Leino (1996), who
                                                             rooms, may be targeted by reference to concept maps and so             found that it also has the effect of revitalising creativity among
                                                             make more effective use of the contact time that is available.         participants when considering curriculum development. While
                                                                                                                                    investigating methods to promote critical reflection among sci
                                                             Conclusion                                                             ence teachers, Nichols et al. (1997) found that mapping activi
                                                             For concept mapping to provide maximum benefit to the learn           ties provide
                                                             er, it would seem sensible that the mapping activities should be
                                                             integrated with a variety of other classroom activities. It is not         '...teachers opportunities to critically reflect on their refer
                                                             sufficient to simply 'tack on' a concept mapping exercise to a             ents for science teaching, justify their visions of practicing
                                                             'traditionally objectivist' lesson sequence and hope that the stu         science teaching, and construct alternative ideas about sci
                                                             dents will somehow gain some benefit from it. A combination                ence teaching and learning — possibly leading to a changed
                                                             of learning cycles and concept mapping is recommended by                   set of referents upon which they will base their teaching
                                                             Odom and Kelly (1998), as this provides both the concrete                  practices.'
                                                             experiences and cognitive structure that are required for mean
                                                             ingful learning to occur. Lahtinen et al. (1997) make the                 I have felt this to be the case in my own school-based
                                                             assumption that                                                        research, though it has not always been verbalised in this way.
                                                                                                                                    There is a need for further research to evaluate the power of
                                                                 'more generative study strategies [including concept map-          concept mapping, but it certainly has the potential to help
                                                                                                                                              120-130.
                                                             teachers actively learn about t h e quality of their students'
                                                                                                                                           Leino, J. (1996) Widening perspectives through reflection in teacher
                                                             understanding and, on this basis alone, is w o r t h y of further               education. In Teacher training and values education. Selected papers
                                                             investigation.                                                                  from the 18th annual conference of The Association for Teacher
                                                                                                                                             Education in Europe (ATEE), held at the Departamento de Educacao
                                                             Acknowledgement                                                                  da Faculdade de Ciencias, Universidade de Lisboa., Eds: Valente,
                                                                                                                                              M.O., Barrios, A., Gaspar, A., and Teodoro, V.D.
                                                             Many thanks to t h e n u m e r o u s students and teachers w h o have
                                                                                                                                           Martin, D.J. (1994) Concept mapping as an aid to lesson planning: a
                                                             taken part in a variety of classroom-based concept m a p p i n g                 longitudinal study. Journal of Elementary Science Education, 6, 11 - 30.
                                                             trials.                                                                       Mintzes, J.J., Wandersee, J.H., and Novak, J.D. (1998) Teaching science
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