mathz4kidz for parents

mathz4kidzSeminar for Parents

Problem-Solving Approachin Mathematics Learning

Dr Yeap Ban [email protected] Cavendish Institute

Singapore

Economic wealth of a nation does not depend on its natural resources anymore. It depends on its human resource.

Perekonomian sebuah negara tidak lagi tergantung pada sumber daya alamnya saja, tapi tergantung pada sumber daya manusianya.

Singapore 2010

Kualitas dari sumber daya manusia sangat menentukan pertumbuhan ekonomi sebuah negara.

The quality of a nation’s human resource determines its economic growth.

PCF Kindergarten Telok Blangah, Singapore

“At greatest risk are jobs that can be expressed in programmable

rules – blue collar, clerical, and similar work that requires moderate skills and used to pay middle-class wages.”

Source: Levy & Murnane 2005

How the demand for skills has changedEconomy-wide measures of routine

and non-routine task input (USA)

1960 1970 1980 1990 200240

45

50

55

60

65 Routine manual

Nonroutine manual

Routine cognitive

Nonroutine ana-lytic

Nonroutine in-teractive

(Levy and Murnane)Mean t

ask

inp

ut

as

perc

en

tile

s of

the 1

960

task

dis

trib

uti

on

Source: Levy & Murnane 2005

Kebutuhan tenaga kerja dengan keahlian yang biasa-biasa saja dan mengandalkan keahlian manual sudah sangat berkurang selama 50 tahun terakhir.

Sementara kebutuhan tenaga kerja dengan keahlian yang tidak biasa justru meningkat pada periode yang sama.

Mathematics Curriculum Framework

Mathematical Problem

Solving

Attitudes

Metacognition

Proc

esse

s

Concepts

SkillsNumericalAlgebraic

GeometricalStatistical

ProbabilisticAnalytical

Reasoning, communication & connectionsThinking skills & heuristicsApplication & modelling

Numerical calculationAlgebraic

manipulationSpatial visualization

Data analysisMeasurement

Use of mathematical tools

Estimation

Monitoring of one’s own thinkingSelf-regulation of learning

BeliefsInterest

AppreciationConfidence

Perseverance

PSLE: Primary 6 National Examination

Paper Item Type Number of Items

Mark Range

1No calculator

50 min

Multiple Choice

10 1

Multiple Choice

5 2

Short Answer 10 1

Short Answer 5 2

2Calculator1 h 40 min

Short Answer 5 2

Long Answer 13 3-5

Example 1

equilateral triangles of side 3 cm

based on PSLE 2010

The perimeter of the figure is 99 cm.How many pieces of the triangles are used

to make the figure?

Example 2

based on Specimen Paper PSLE

A shop sells curry puffs for 40 cents each.Find the greatest number of curry puffs that can be bought using $95.

$95 ÷ $0.40 = 237.5 9500 ÷ 40 = 237.5

The greatest number of curry puffs that can be bought is 237.

Example 3

The total number of stamps in Album A, Album B and Album C was 444 at first. Dennis gave away 3/5 of the stamps from Album A, put 24 more new stamps into Album B and added some stamps into Album C until the number of stamps in Album C became three times its original number. The ratio of the number of stamps in Album A to that in Album B to that in Album C became 2 : 5 : 9. How many more stamps were there in Album C than Album A in the end?

(Teck Whye Primary School, Primary 6)

Album A

Album B

Album C

The total number of stamps in Album A, Album B and Album C was 444 at first. Dennis gave away 3/5 of the stamps from Album A, put 24 more new stamps into Album B and added some stamps into Album C until the number of stamps in Album C became three times its original number. The ratio of the number of stamps in Album A to that in Album B to that in Album C became 2 : 5 : 9. How many more stamps were there in Album C than Album A in the end?

(Teck Whye Primary School, Primary 6)

Album A

Album B

Album C

13 units 444 + 24 = 4681 unit 468 ÷ 13 = 36

468

390 78

7 units ?7 units 36 x 7 = 210 + 42 = 252There were 252 more stamps in Album C than Album A in the end.

Example 4

ABCD is a square. Given that PQ = PR = PS and that AB is parallel to QS and is perpendicular to PR, find QRS.

Q

P

R

S

A B

CD

based on PSLE 2009

Singapore Math

Before Now

In the first PSLE, half the candidates failed the

examination.

Today, in PSLE Mathematics more than 40% of the

candidates score an A or A*. In 2010, 43.3% scores A or A*.

Princes Elizabeth Primary SchoolWellington Primary School

Features

Concrete Learning

CPA Approach

4

?

4

33

The ability to visualize is a core competency in mathematics learning

Kemampuan untuk visualisasi adalah kompetensi dasar dalam pembelajaran matematika.

Maths Champion (Indonesia)

Earlybird Kindergarten Mathematics

Maths Champion (Indonesia)

Pensar sin Limites (Chile)

Ateneo de Manila Grade School, The Philippines

Primary Mathematics Standards Edition (United States of America)

Spiral Approach

Principle of Variability

Choice of Materials

PCF Kindergarten Tanjong Pagar, Singapore

mathz4kidz, Penang

Choice of Examples

based on multiple intelligences

ACT Framework for mathz4kidz

Focus on Attitude

Focus on Communication

Fuchun Primary School, Singapore

Anglo Singapore International School, Bangkok, Thailand

Focus on Thinking

mathz4kidz, Penang, Malaysia

Focus on Thinking

2- =

x


their understanding

in a variety ofcomplex situations

Trends inMathematics

applyand knowledge

& Science Studies

Advanced

Intermediate

Low

High

Swed

en

Med

ian

U S

A

3 105

24 4026

69 7767

93 9590

TIMSS2007Grade 4

Japa

n

Sing

apor

e

4123

7461

9289

9898

Program forStudents’Achievement

Teacher Education Course in Chile

Bina Bangsa School, Bandung, Indonesia


Edgewood Elementary School, New York, USA

Fuchun Primary School, Singapore

Catholic High School (Primary), Singapore

Victory Christian International School, Manila

Escuela de Guatemala, Vina del Mar, Chile

mathz4kidzSeminar for Parents

Problem-Solving Approachin Mathematics Learning

Dr Yeap Ban [email protected] Cavendish Institute

Singapore

mathz4kidz for parents

Education

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