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LAM-PT09-02RANCANGAN PENGAJARAN DAN PEMBELAJARAN MINGGUAN

AKADEMIK/KOKURIKULUM

PROGRAM: PISMP - IPGM SEMESTER: 5 TAHUN: 2011KURSUS: TEACHING OF NUMBERS, FRACTIONS, DECIMALS AND PERCENTAGES KOD: MTE3109 KREDIT: 3 (2 + 1)

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1(5/1-9/1)

Wholenumbers

Pre-numberconcepts

Countingstrategies

Earlynumbersdevelopment andnumber sense

(2 hrs)

Discuss:-what are somecharacteristics ofnumbers?

- Illustrate withexamples themeaning of

number sense.

(1hr)

Prepare a setof materials thatcan be helpful for- counting- learning basicfacts (eg. Ten-frame)

-writing and

recording numbers

- Try out theresources with yourpeers during microteaching

(2 hrs)

Reading:

i.Reys, at. el(2004).Helping children learnMathematics (7th ed.)pp.137-163

ii. McIntosh,A.J.

(1992).Two neededrevolutions.fromChallenging Children toThink When TheyCompute.QUT, Brisbane

Note:60hrs interactionwill be done in12 weeks.1 week=(a+b)hours

= 5

hours

(a+b):a representslecture andtutorial hoursb representspractical work

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2(12/1-16/1)

Wholenumbers

Place valuerepresentation ofnumbers- Grouping or

trading-Developing placeValue

-Regrouping andrenaming

(2hrs)

Show how 201 and120 would berepresented withthree differentplace-valuemodels.

Examine a primarymathematics text-book. How manydifferent place-value models areillustrated? Whichmodel is used themost? Commentif the textbookprovides a good

choice ofmodels? Defendyour answer.

(1 hr)

Make anumber expander(Reys, pp176) orarrow cards for usein reinforcingreading and writingnumbers

Make hundrednumber chart andcarry out LessonIdea 8-3 (Reys: pp177) and Activity Inthe Classroom8-3(reys:pp182)

What haveyou learnt fromthese twoactivities?

(2 hrs)

Reading:

i. Reys, at.el(2004).Helping Children LearnMathematics (7th ed.)pp.166-192

Reference:

ii. Booker,at.el.(1997)TeachingPrimaryMathematics (2nd

Ed.). pp 53-92

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3(19/1-23/1)

Numberoperations andbasic facts

Models foraddition andsubtraction

Models formultiplication anddivision

Basic facts

Read aboutbasic facts from pp.206-224 (Reys)and discussquestions 1-6 inpage 224.

Summarise allthe strategies forteaching basic facts

Task 1:In pairs, choose andprepare only one cardfrom Activity In theClassroom 9-5 to 9-9-8(Reys:pp210-212).

Play with yourpeers.

Exchange theActivity Cards withother groups sothat you get achance to play allthe 4 types.

Task 2:

In groups of 4,plan an activity withteaching materialthat can be used to

reinforce basicfacts.

Carry outmicro-teachingusing the modelsand aids prepared

Reading:

i. Reys, at.el(2004).Helping Children LearnMathematics (7th ed.)pp.195-225

Reference:

ii. Cathcart, et al(2006). LearningMathematics inElementary andMiddle Schools.A Learner-Centered

Approach (4thEd). pp. 145-162

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(1 hr) (2 hrs)(2 hrs)

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4(26/1-30/1)

Operationsense andcomputations

Mentalcomputation-The role of

mental

computation Computationa

l estimation- estimation skills- why doingestimations

Group presentationof Activity 1: Howdid you do it?

Make a summary ofthe methodsapplied based onthe data collectedby the whole class.

Comment onthefindings regardingmentalcomputation.

Activity 2:Form groups and eachgroup carry out oneactivity based on

activity 2 to 6 inpp39(Groves).

-Record whathappens when youtry out the activityand comment onwhat you havelearnt .

Submit yourcomments throughweekly reflectivelog.

Activity 3:

Tryactivity 3.13 (Qs.A-M) listed in pp48ReaderComputationTechniques and

Reading:Activity 1: For Tutorial

W4

In groups of

three, interview atleast 6 primaryschool childrenbased on activity 1: How did you do it?( pp. 38 of Groves).

Record differentmethods andpresent to the class.

Reference :

Reference:i.Groves, S.(2006)

ComputationTechniquesand NumberSense (InWeek 5)

ii. Cathcart,etal (2006).LearningMathematics inElementaryand MiddleSchools. ALearner-CenteredApproach (4thEd). pp. 166-169

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(1 hr)

(1 hr)

Number Sense.

(3 hrs)

iii. Reys,at.el(2004).Helping ChildrenLearnMathematics (7th

ed.)pp.228-249

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5(2/2-6/2) Operation

sense andcomputations

Therole ofalgorithms

- Childrens useand understandingofalgorithm in wholenumberoperations

Calculatorsand abacus

Make a list ofthe standard writtenalgorithm for thewhole numberswhich you believeshould be includedin the primarymathematicscurriculum.

Commentabout your listcompare with theviews put forwardby Plunkett in hisarticle.

Inabout half a page,summarise andpresent your viewson whether or notchildren in primaryschool should usecalculators and theway in which they

could be used. In groups of

suitable size,design an exerciseor games whereyou can useabacus/calculatorsto teach operations

Reading:

i. Reys, at.el(2004).Helping Children LearnMathematics (7th ed.)pp.251-278

ii. Plunkett, S.(1979).Decomposition and all

that rot, Mathematics inSchool, Vol 8 No. 3.pp.2-5(prepare Tutorial W5)

References:

iii. Groves, S.(2006)Computationtechniques andnumber sense.pp 32-35

iv. Groves,S &Cheeseman,J(1995). Beyondexpectations:Usingcalculators withyoung children

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(1 hr)(1 hr)

of numbers.

How farabacus is used inteaching whole

numbers inMalaysian primaryschools? Discusswith examples

(3 hrs)

v. Metallo.(undated)Theabacus: Itshistory and

applications

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6(9/2-13/2)

Key issues inteaching wholenumbers

Issues inteaching wholenumber

- Knowing basic fact

- Teaching of place value

- Mathe

maticsknowledge ofteachers

Read articleX and summarisethe issues raisedin the teaching ofmathematics inprimary school.

Acyivity 1:

Ingroups, discuss theissues related tothe teaching ofnumbers that existin our local schoolcontext.

Present yourissues and makerecommendationson how they can beovercome. Supportyour presentationwith references.

Reading:

Article X:i. Review: Knowing andTeaching Mathematicsby Roger Howehttp://www.ams.org/notices/199908/rev.howe.pdf

-

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( 1 hr)

( 1 hr)

Activity 2: Debate

Training amathematicsgeneralist or aspecialist inhandling primarymathematics inschool: Its impacton childrenslearning ofmathematics.

(3 hrs)

7(16/2-20/2)

Fractions,decimals andpercentages

Fractions

Conceptualdevelopment offractions andequivalentfractions

Mixednumber andimproper fraction

Read Reys, et. al.(1995).Helpingchildren learnMathematics (4th

ed.) pages 231-248 and discussquestions no. 1-7on page 257

In groups:

prepare suitablemodels forintroducingfractions, includingword and symbolcards(Refer Reys:pp. 289)

prepare suitable

models for teachingequivalentfractions, mixednumbers &improper fractions

plan a teachingactivity and carryout micro-teaching

Readings:.i. Reys, at.el(2004).Helping Children LearnMathematics (7th ed.)pp.282-296

Reference:ii. Cathcart, et al(2006). LearningMathematics inElementary andMiddle Schools. ALearner-CenteredApproach (4th Ed)Pg 201-225

iii. Booker,at.el.(1997).TeachingPrimaryMathematics (2nded.). pp 97-117

iv. Kennedy et al.(2004). Guiding

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(2 hrs)

(1 hr)

using the models

and aids prepared

(2 hrs)

Childrens

Learning ofMathematics (10th

ed) pg 401 420

8(23/2-27/2)

Fractions Fractionsoperations -addition of

fractions- subtraction offractions

Design an assessmenttask or a game[refer Kennedy et al(2004) page 474]that will help youunderstand whetheror not your studentsunderstand

operations withfractions.

Discuss with your peersthe effectiveness orsuitability of yourassessment task/game

In groups:

Maketeaching aidssuitable for additionand subtraction offraction

Plan andcarry out teaching

steps using the aidsyou have preparedand use theassessment taskyou have designedin your tutorial

Reading:

iii. Kennedy et al.(2004).Guiding ChildrensLearning of Mathematics(10th Ed) pg 457 - 477

Reference:

i. Reys,at.el(2004).Helping ChildrenLearnMathematics (7th

ed.)pp.296-302

ii.Cathcart, et al

(2006). LearningMathematics inElementary andMiddle Schools. ALearner-CenteredApproach (4th Ed)Pg 227-238

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(2 hrs) (1hr)(2hrs)

9(2/3-6/3)

Fractions Fractionsoperations multiplication of

fractions- division of

fractions

Discuss thefollowing questions:

o How is

multiplication offractions differentfrom multiplicationof whole numbers?

o

How do youillustrate themultiplication anddivision of:

fraction witha wholenumber, e.g.

In groups create fourstory problems thatinvolve:

multiplication of fractionwith:- whole numbersand fractions;

division offraction with:- whole numbers

and fraction

Prepare a relevantlesson plan, therequired modelsand teaching aids

Reading:

i. Askey, R. (1999).Knowing and TeachingElementary Mathematics,American Educator,American Federation ofTeachers, retrieved from:http://www.aft.org/pubs-

reports/american_educator/fall99/amed1.pdf

Reference:

ii. Reys,at.el(2004).Helping ChildrenLearnMathematics (7th

ed.)pp.296-302

iii. Cathcart, et al(2006). LearningMathematics inElementary andMiddle Schools. ALearner-CenteredApproach (4th Ed)pp 238-249

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(1 hr)

=25

3

54

3x =

fraction witha fraction,

e.g. =2

1

4

3

2

1

4

3x =

(2 hr)

and carry out micro-

teaching using thefour story problemsabove

(2 hr)

iv. Kennedy et al.

(2004). GuidingChildrensLearning ofMathematics (10th

Ed) pg 478 - 502

10(9/3-13/3)

Decimals

Commonfractions anddecimals:relationship andconversion

Place value,ordering and

rounding

Briefly outline thesteps that explain themeaning of thecommonly used ruledivide the numeratorby the denominator

Discuss how

rounding thedivisor can assistin making an initialestimate indivision with largernumbers.

Prepare teachingmaterials tointroduce childrento decimal notationof tenths ,hundredths anthousandths.

Readiing:

i. Booker G. at el (1997)Teaching PrimaryMathematics (2nd Ed) pg247 249, 250-252

Reference:

ii. Reys,at.el(2004).Helping ChildrenLearnMathematics (7th

ed.)pp.302-309

iii.Cathcart, et al(2006). LearningMathematics inElementary andMiddle Schools. ALearner-CenteredApproach (4th Ed)Pg 252-269

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(1 hr)(1 hr) (3 hrs)

iv. Kennedy et al.

(2004). GuidingChildrensLearning ofMathematics (10th

Ed) pg 421-442

11(16/3-20/3)

Mid-Semester break

12(23/3-27/3)

Practicum I

13(30/3-3/4)

Practicum I

14

(6/4-10/4)Practicum I

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Practicum I

1619/4-23/4 Decimals

Decimaloperations

Discuss the use ofplace value chartto help childrenunderstand

decimalcomputation.

(1 hr)

Write alesson plan tointroduce decimalcomputation (foran operation ofyour choice) bylinking this topic to

fractioncomputation.

(1 hr)

Readings:

i. Cathcart, et al (2006).Learning Mathematics inElementary and MiddleSchools. A Learner-Centered Approach (4th

Ed)

Pg 261-269

Percentage Percentage

- Relationshipbetweenfractions,decimals andpercentages

Constructmodels that can beused to helpchildrenunderstandpercentages.

Try out themodel with yourpeers.

Reading: .

iii. Cathcart, et al (2006).Learning Mathematics in

Elementary and MiddleSchools. A Learner-Centered Approach (4th

ed) pp. 271-281

iv. Kennedy et al.(2004).Guiding ChildrensLearning of Mathematics(10th Ed) pp. 443-450,

Reference:

ii. Reys,at.el(2004).

Helping ChildrenLearnMathematics (7th

ed.)pp.312-329

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(1 hr)

Discuss withexamples the useof percentages indaily lives.

(2 hrs)

508-513

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17(27/4-1/5)

Key

issues in teachingfractions, decimalsand percentages

Key issues in

teaching offractions, decimalsand percentage :

Studentrelated

Teacher related

Environmentally related(Social-economic

demands)

(1 hr)

Discuss thedifferences betweenpedagogical issues& contentpedagogical issues

Discuss whyteachers contentpedagogicalknowledge is crucialto effective andmeaningful teachingof elementary

mathematics [Read:Askey, R. (1999).Knowing andTeachingElementaryMathematics]

(1 hr)

Refer

to Askey, R. (1999).Knowing andTeachingElementaryMathematics

Ingroups:

Create real-lifestories related tothe practicalapplications of the

concepts andoperationslearned inFractions,Decimals &Percentages.

Sharethe stories withpeers and discussthe merits ofthese stories.

Comment and discusshow the storiescan be used inclass instructions.

(3 hrs)

Reading:

i. Askey, R. (1999).Knowing and TeachingElementaryMathematics

http://www.aft.org/pubs-reports/american_educator/fall99/amed1.pdf

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18(4/5-8/5)

Revision

19(11/5-15/5)

Revision

W20(18/5-22/5

Examination

W21

25/5-29/5

Examination

Tandatangan pensyarah Tandatangan Ketua Jabatan

________________________________________ _______________

(Nama: ) (Nama: )

Tarikh: ___________________ Tarikh: ________________________

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