Teaching Kindergarten Mathematics 10th Creating a World-Class Education Conference Manila, The Philippines

Teaching kindergarten Mathematics Yeap Ban Har National Institute of Education Nanyang Technological University Singapore [email_address] Slides are available on www.mathz4kidz.com

Photo: PCF Telok Blangah Kindergarten

o v e r v i e w

Big Ideas in Early Mathematics

Number Bonds & Basic Facts

Visualization

Connections

Communication

Key Learning Theories

edu cation 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 mathematics in kindergartens through grade one PART 2 Photo: PCF Telok Blangah Kindergarten

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 N um b e r B o n ds

One duck is big. Six ducklings are small. Photo: PCF Telok Blangah Kindergarten

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. A ddi t i o n F a ct s

A ddi t i o n F a ct s & Num b e r S e n se

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. A ddi t i o n F a ct s & Num b e r S e n se

Photo: PCF Tanjong Pagar Kindergarten A ddi t i o n F a ct s & Num b e r S e n se

Photo: PCF Pasir Ris West Kindergarten C oun t i ng a s a B as i c

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. C onne c t i o n s Princess Elizabeth Primary School M ak e C onne c t i o n s t o Ge n e r a l i z e

Articulating one’s thoughts orally, at first, and in written forms using words, pictures, diagrams and symbols is important. C ommu n i c a t i o n Maris Stella High (Primary) School

Keys Grade School Manila The Philippines

C onne c t i o n s Princess Elizabeth Primary School

Visualization is, among other things, the ability to manipulate visual images without the benefit of concrete objects. V isua l i z a t i o n 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. V isua l i z a t i o n

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SEED Institute, Singapore in using concrete materials training teacher

in using concrete materials teacher training and pictorial representations National Institute of Education, Singapore

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learning theories in developing lessons for kindergartens PART 2 Photo: PCF Telok Blangah Kindergarten

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pictorial concrete to from mathz4kidz Learning Centre, Penang, Malaysia

abstract pictorial to from All Kids Are Intelligent Series

symbols mathz4kidz Learning Centre, Penang, Malaysia

Photo: PCF Tanjong Pagar Kindergarten

variation theory of diene’s A Singapore Textbook for Kindergarten

variation theory of diene’s Earlybird Kindergarten Mathematics

Earlybird Kindergarten Mathematics

Earlybird Kindergarten Mathematics curriculum spiral

social learning theory of vygotsky’s Photo: PCF Tanjong Pagar Kindergarten

Photo: Keys Grade School Manila The Philippines

learning inter-displinary Photo: Keys Grade School Manila

Photo: Keys Grade School Manila learning inter-displinary

Photo: Keys Grade School Manila

as a form of education investment

Educa tion 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 everyone can do it parents and teachers need to know how

TIMSS 2007 Catholic High School (Primary), Singapore Advanced Intermediate Low High 24 41 40 66 74 81 92 92 97 99 98 100 Grade 4

PCF Telok Blangah Kindergarten, Singapore trends globalization &

Elementary School in Changchun, China global citizens future

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 knowledge of facts from

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intelligent behaviours Kuo Chuan Presbyterian Primary School, Singapore computation beyond

A Public School in Palembang, Indonesia attitude commu nication thinking

[email_address] “ C hild r e n a r e t rul y t h e futu r e o f o u r nati o n . “ Irving Harris Bina Bangsa School, Indonesia