teaching kindergarten mathematics 10th creating a world-class education conference manila, the...

Teachingkindergarten Mathematics

Yeap Ban HarNational Institute of Education

Nanyang Technological UniversitySingapore

[email protected]

Slides are available on www.mathz4kidz.com

Photo: PCF Telok Blangah Kindergarten

overview

• Big Ideas in Early Mathematics– Number Bonds & Basic Facts– Visualization– Connections– Communication

• Key Learning Theories


education

Bina Bangsa School, Bandung, Indonesia

mathematics

Ministry of Education Singapore 2006

an excellent vehicle for the development and improvement of

a person’s intellectual competence

“

”

big ideas in early mathematicsin kindergartens through grade one

PART 2


Number Bonds is emphasized prior to the learning of addition.

Children are given, say, 5 unifix cubes and guided to see that 1 and 4 make 5, for example. Others may say that 3 and 2 make 5 or 4 and 1 make 5. Yet others may say that 5 and 0 make 5.

Kindergarten Textbook

Number Bonds

One duck is big. Six ducklings are small.


Number Bonds continues to receive attention in Grade 1.

Addition Facts are given emphasis in the first six months of grade one.

The children learn it in stages as the textbooks distinguished between Numbers to 10 and Numbers to 20.

Count On and Count All are used in Numbers to 10.

Addition Facts

Addition Facts & Number Sense

Photo: PCF Tanjong Pagar Kindergarten

While Count On and Count All are used in Numbers to 10, Make Ten is given emphasis in Numbers to 20.


Photo: PCF Pasir Ris West Kindergarten

Counting as a Basic

Photo: PCF Pasir Ris West Kindergarten

Looking for Patterns is introduced through exploration with Shapes. Subsequently, this is done using numbers – in a more abstract context.

Connections

Princess Elizabeth Primary School

Make Connections to Generalize

Articulating one’s thoughts orally, at first, and in written forms using words, pictures, diagrams and symbols is important.

Communication

Maris Stella H

igh (Primary) School

Keys Grade School Manila The Philippines

Connections

Princess Elizabeth Primary School

Visualization is, among other things, the ability to manipulate visual images without the benefit of concrete objects.

Visualization

Photo: mathz4kidz Learning Centre Penang Malaysia

Photo: Catholic High School (Primary)

In the learning of Numbers to 10, children use square tiles to form patterns of 3 and patterns of 4, for instance.

Illustrations in textbooks were also carefully varied to develop this competency.

Visualization

mathz4kidz Learning Centre, Penang, Malaysia

concreteusingmaterials

SEED Institute, Singapore

in using concrete materials

trainingteacher

in using concrete materials

teachertraining

and pictorial representations

National Institute of Education, Singapore

proficiency

A Public School in Changchun, China

mathematical

conceptual

Kilpatrick et al 2001

understandingprocedural

fluency

strategiccompetence

adaptivereasoning

dispositionproductive

learning theoriesin developing lessons for kindergartens

PART 2


bruner’s theoryconcrete


concreteexperiences


pictorialconcreteto

from


abstractpictorialto

from

All Kids Are Intelligent Series

symbols


variationtheoryof

diene’s

A Singapore Textbook for Kindergarten

variationtheoryof

diene’s

Earlybird Kindergarten Mathematics


curriculumspiral

social learningtheoryof

vygotsky’s


Photo: Keys Grade School Manila The Philippines

learninginter-displinary

Photo: Keys Grade School Manila


learninginter-displinary

as a form ofeducationinvestment

Education

Edgewood Elementary School, New York, USA

… over 80% of the fastest-growing jobs require a

knowledge base in mathematics and

science …

Obama 2007

Wellington Primary School, Singapore

everyonecan do it

parents and teachers need to know how

Catholic High School (Primary), Singapore

Advanced

Intermediate

Low

High

TIMSS 2007

24 4140

66 7481

92 9297

99 98100

Grade 4

PCF Telok Blangah Kindergarten, Singapore

trendsglobalization

&

Elementary School in Changchun, China

global citizensfuture

Singapore

St Anthony Canosian School, Singapore

from

The Philippines

Keys Grade School, The Philippines

an emphasis on mathematics education will

ensure that we have an increasingly competitive workforce to meet the

challenges of the 21 st century

Ministry of Education Singapore 2001

“

”

to

National Institute of Education, Singapore

knowledgeof factsfrom

big ideas

A Public School in Khon Kaen, Thailand

mathematical

Shulman 1986

to explain why a particular

proposition is deemed warranted

“”

to

intelligent behaviours

Kuo Chuan Presbyterian Primary School, Singapore

computationbeyond

A Public School in Palembang, Indonesia

attitudecommunicationthinking

[email protected]“Children are truly the future of our

nation. “Irving Harris

Bina Bangsa School, Indonesia