Course Name: Teaching Mathematics in the Early Years (Part 1)                                          Course Code: MT110ACA
Unit 1          :       PRE-NUMBER CONCEPTS                        6hrs
Unit 2          :       Number Relationships                      12 hrs
Unit 3              :    Number Sense                            12 hrs
Unit 4              :    Number Operation                        15hrs
     1                    Objective                             Content                            Suggested Activities
            1. State the importance of pre-          Pre-number concepts             Lecturer set up different stations in the classroom to
               number activities.                                                     show pre-number concepts.
            2. Develop and describe                           Classification        Students visit each station and record the pre-
               appropriate activities to help                 Matching               number.
 Week 1        children develop their pre-                    Pattern               Discussion on pre-number concepts after viewing
               number skills                                  one-to-one             powerpoint
            3. Identify pre-number concepts                    correspondence        Students write and model activities for each pre-
            4. Classify concrete objects                      comparison             number concepts
            5. Recognize patterns                             seriation
            1. Seriate objects by various            Pre-number concepts             Lecturer set up different stations in the classroom to
               attributes, for example size,                                          show pre-number concepts.
               height, length, and weight                     Classification        Students visit each station and record the pre-
            2. Sequence events                                Matching               number.
 Week 2     3. Define one- to-one                             Pattern               Students write and model activities for each pre-
               correspondence                                 one-to-one             number concepts
            4. List and define comparison terms                correspondence
            5. Define ordering, seriation and                 comparison
               patterning                                     seriation
            6. List and describe basic types of
               ordering activities
  Week      Objective                                Content                      Suggested Activities
            1. Identify and create groups that                More, Less and            Use snap cubes to create groups.
               have one more object than                       Same                      Use word problems about number order and
               another group                                  Order of numbers           manipulatives such as hopscotch and Link-N-
Institution: St. Joseph’s Teachers’ College      Number of credits: 3                                  Number of Hours: 39 (13 weeks)
Course Name: Teaching Mathematics in the Early Years (Part 1)                                                  Course Code: MT110ACA
            2.  Explore the order of numbers                                                      Learn links to model the problem.
            3.  State the cardinality of given sets            Cardinality                      Demonstrate cardinality of given sets. Illustrate
 Week 3     4.  Identify ordinal numbers                                                          sets of objects in patterned arrangements and
            5.  Write symbols for ordinal                      Ordinality                        tell how many there are.
                numbers                                        Ordinal and cardinal             Write some questions to see if children
            6. Differentiate between cardinal                                                     understand difference between cardinal and
            and ordinal number                                                                    ordinal.
            1. Conceptualize a number as being               Part-part whole
            made up of two or more parts                                                         Show part-part whole ideas using snap cubes,
            2. State the relative size of two                  relative size                     five and ten frames. Decompose and find
            numbers                                                                               hidden partners of numbers
            3. Explain how five and ten are used               Bench mark                       Design number stations
 Week 4     as bench marks or anchors                                                            Make groups and compare differences.
                                                               Reading, writing and             Demonstrate benchmarks using five and ten
            4. Read and write numbers                                                             frames and discus the purpose of benchmarks.
                                                                using numerals
                                                                                                  Plan activities
                                                                                                 Use different strategies to help children read
                                                                                                  numbers.
                                                                                                 Show how to use different media, for example
                                                                                                  pipe cleaners.
                                                                                                 Research the six number-symbol skills by Lind
                                                                                                  and Charlesworth
  Week      Objective                                 Content                          Suggested Activities
                 1 Differentiate between                     Numbers and                      Demonstrate the five principles of counting.
                     numbers and numerals                     numerals                         Use nursery rhymes, finger play, and jingles to
                 2   Use counting principles to              principles of counting            learn rote counting
                                                             counting errors                   Plan activities to illustrate matching quantity and
Institution: St. Joseph’s Teachers’ College       Number of credits: 3                                         Number of Hours: 39 (13 weeks)
    1             Objective                                      Content                                                Suggested Activities
             1. Write word               Word problems                                                              Research different types of
Course Name: Teaching    Mathematics in the Early Years (Part 1)
                  problems                                                                                           Course
                                                                                                                     Label    Code: MT110ACA
                                                                                                                           problems
             2. Identify                   a. Types of addition problems                                            Write different types of problem
                  types of                  Join, Result Unknown ,                                                 Label problems
Week                understand errors children
                  problems                  Separate, Start Unknown                                  number
10Week 5            make while counting.
             3. Classify                    Part-Part Whole, Whole Unknown                          Demonstrate counting errors and illustrate ways to
               3 word
                    State ways to correct   Compare, Compare- Quantity Unknown                                   Write different types of problem
                                                                                                      correct them.
                  problems
                    counting errors
             4.1 Devise                    b. Type of subtraction problems
                    Distinguish between rote                   stages of counting                   Demonstrate the five principles of counting.
                  different                    Join,  Change   Unknown
                                                                   (rote and rational)                             Model different types of problems
                    and rational counting.                                                           Use nursery rhymes, finger play, and jingles to
                  strategies  to
               2 Identify and modeldifferent   Join, Start Unknown                                   learn rote counting
                  solve   wordstrategies
                    counting                                                                         Plan activities  to illustrate matching  quantity and
                                            Separate, Result      Unknownstrategies:                              Demonstrate      the different
  Week 6          problems                                     counting                              number
               3 Plan appropriate activities         to
                                            Separate,     Changecounting
                                                                     Unknown                                          strategies
                                                                              all, counting          Use a hundred chart, games, and the number line
                    use in teaching children
                                            Part-Part Whole,on,    Partcounting
                                                                         Unknown   back,              to illustrate the different counting strategies.
                    counting strategies. Compare, Difference Unknown
                                                                   skip counting                                   Model different types of problem
               4 Model counting strategies  Compare, Referent Unknown
               1. Explain conservationAddition of and Subtraction    Strategies of
                                                              1. Conservation                      Use counters to illustrate conservation of
   1                     Objective
                    numbers                                          Content                        numbers.Suggested Activities
                                            Direct Modeling numbers                             Use money to introduce decimals
               2. Investigate and explain the                                                   Use
             1. Recognize
                    meaning of  fractions  as part
                                   the differentCounting
                                                   sets      2. Whole
                                                                   Type ofandnumbers
                                                                               Part                 Usea two
                                                                                                          hundred   chart
                                                                                                              colour     to identify
                                                                                                                  Demonstrate
                                                                                                                      counters   and athe
                                                                                                                                 different whole
                                                                                                                                           strategies
                                                                                                                                       hundred   chart to
  Week 7          ofofa numbers.
                        whole                                                                     numbers.
                                                                                                    show even and odd numbers patterns.
                                            Number Facts     halves,
                                                                   Wholethirds
                                                                           numbersand           Use
             2.3. Identify  and   show   halves,                 fourths                            Usegeoboards,
                                                                                                         the sieve ofpattern  blocks and
                                                                                                                       Eratosthenes       fraction
                                                                                                                                      to find prime and
                    Identify different d. typeMultiplication
                                                of            and Decimals
                                                                    Division problems             circles  to
                                                                                                    composite  show  halves,
                                                                                                               numbers      thirds and  fourths
                                                                                                                  Use part-part whole, a workmat
Week 8            thirds  and
                    numbers    fourths   of regions                                            Model equivalent       fractions
                                                                                                                  and colour      using fraction circles
                                                                                                                               cubes
                                            Multiplication    Even and odd
             3.4. Define   place value,                     . Place value                         and pattern blocks
                    Differentiate    between
                                            Measurement Division Prime, Composite            Use counters to make groups of 11 or more and
                  renaming,    and   regrouping
                    factors and   multiples                    Regrouping
                                                                   Factors                                     Rack
                                                                                                  tell how many    10s’and
                                                                                                                         are number   and symbols
                                                                                                                             in the group.  Use a ten
             4.5. Explore   place-value     Partitive Division
                                                                  Multiples
                    Express numbers using                    Reading      and writing                            cards, blocks
                                                                                                  frame and base-ten     make number     sentences
                                                                                                                                 to represent  two digit
                  concepts   for  tens  and  ones
                    prime factors e. Multiplication and large     Division   Strategies
                                                                        numbers                   numbers. Use a place value mat, trading games
             5. Compare two-digit numbers   Counting  Comparing two-digit                    Use a place-value chart to read and write
                  using the symbols ˂ and ˃                      numbers                          numbers up to four digits.
                                            Adding                                            Use base ten blocks and place value charts to
                                              Number sentences                                   model two-digit numbers
                                            Addition and subtraction signs                          Play games (The closest ten)
                  1. Assess children’s                   . Place value
                                            Multiplication and Division signs
                     understanding of numbers                                                        Select basic facts from given facts.
                                                            Basic facts                              Demonstrate different strategies that children
                     above 10 and place value
                                            Relational symbols
                                                          Addition facts                             use to learn basic fact examples counting,
Week 9            2. Explain what basic facts are                                                     reasoning and memorizing
                                                          Subtraction facts                         Create addition and subtraction tables for basic
                  3. Select strategies to help
                  1. Generate
                     children master basic facts.
                                               signs      Multiplication facts                       facts.
                     number                               and
                                                            Division  factssigns                     Use flash cards
                                                                                                                    Use pattern to discover the identity
                  4. sentences
                      Identify and create number
                                            Multiplication     Division                             Demonstrate element.
                                                                                                                    rounding numbers using the
Institution: St. Joseph’s
                     fromTeachers’
                     families.       College       Number of credits: 3                                              Number of theHours:   39 (13 weeks)
                           word       Relational symbols  Rounding numbers                                     
                                                                                                      number line.  Demonstrate      commutative
Week              5. problems
                      Round off whole numbers                                                                       property using manipulatives such
11                2. Recognize
                     and decimals . Properties of Arithmetic                                                        as the number line and snap cubes
Course Name: Teaching Mathematics in the Early Years (Part 1)                                                Course Code: MT110ACA
 Week      Objective                               Content                            Suggested Activities
               1. Use properties of Arithmetic     Addition
                  when doing computation                                                    Use base ten blocks to add two-digit numbers
               2. Use models to add two-digit                Addition of whole              without regrouping.
                  numbers with and without                    numbers with and
Week              regrouping                                  without regrouping
12             3. Use models to subtract two-                Addition of fractions         Use base-ten blocks to add two-digit numbers
                  digit numbers with and                      with like and unlike           with regrouping. Use a grid
                  without regrouping                          denominators
                                                              4. Subtraction
                                                             Subtraction of whole
                                                              numbers with and
                                                              without regrouping
                                                             Subtraction of
                                                              fractions with like
                                                              and unlike
                                                              denominators
               1. Relate multiplication to                   Repeated addition             Use colour tiles to model repeated addition.
                  repeated addition                                                         Use a grid to demonstrate multiplication with
Week           2. Use repeated subtraction to                                                regrouping
13                solve division problem                     Repeated subtraction          Use snap blocks to show how to use repeated
                                                                                             subtraction.
               1. Identify equivalent fractions              Equivalent fractions        Use manipulatives
                  using models                                                            Use the principle of equivalent fractions
               2. Compare and order fractions                Ordering fractions          Use fraction pieces and pattern blocks
               3. Add and subtract fractions                 Multiplication and          Use a fraction tower
Week              with like and unlike                        division of fractions      Use fraction squares
14                denominators
               4. Multiply and divide
                  fractions
15             revision                            revision                               revision
Institution: St. Joseph’s Teachers’ College     Number of credits: 3                                         Number of Hours: 39 (13 weeks)
Course Name: Teaching Mathematics in the Early Years (Part 1)                                              Course Code: MT110ACA
ASSESSMENT STRATEGIES:
The assessment will consist of two components: 50% coursework and 50% examination. The coursework will be weighted as follows:
    1.   Written tests at the end of each unit 20% total
    2.   Portfolio consisting of the following:
        Kit pieces 15%
        One assignment (group work: no than more 4 students per group)      15%
Structure of Examination
One and a half hour examination consisting of:
20 Multiple choice questions             20% (10 content and 10 methodology)
6 Essay type questions           30% (three content and three methodology)
TOTAL:                                   50%
   Kit
        50 counters
        Lock and key addition puzzles
Please note an activity should be written for each kit piece, demonstrating how you would use it to teach a concept.
Assignment # 1
Research on the addition and subtraction strategies. Choose two different strategies to teach the following:
    1. Addition with regrouping (two and three digits numbers)
    2. Subtraction with regrouping (two and three digits numbers)
         Each strategy must be clearly illustrated and place on separate page with your source accredited at the bottom of each page. Your
         materials must be presented in a folder with a content page.
Institution: St. Joseph’s Teachers’ College      Number of credits: 3                                      Number of Hours: 39 (13 weeks)
Course Name: Teaching Mathematics in the Early Years (Part 1)        Course Code: MT110ACA
Institution: St. Joseph’s Teachers’ College   Number of credits: 3   Number of Hours: 39 (13 weeks)