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Teachingkindergarten Mathematics
Yeap Ban HarNational Institute of Education
Nanyang Technological UniversitySingapore
Slides are available on www.mathz4kidz.com
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Photo: PCF Telok Blangah Kindergarten
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overview
• Big Ideas in Early Mathematics– Number Bonds & Basic Facts– Visualization– Connections– Communication
• Key Learning Theories
Photo: PCF Telok Blangah Kindergarten
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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
“
”
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big ideas in early mathematicsin kindergartens through grade one
PART 2
Photo: PCF Telok Blangah Kindergarten
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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
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Photo: PCF Telok Blangah Kindergarten
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One duck is big. Six ducklings are small.
Photo: PCF Telok Blangah Kindergarten
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Photo: PCF Telok Blangah Kindergarten
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Photo: PCF Telok Blangah Kindergarten
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Photo: PCF Telok Blangah Kindergarten
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Photo: PCF Telok Blangah Kindergarten
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Number Bonds continues to receive attention in Grade 1.
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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
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Addition Facts & Number Sense
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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.
Addition Facts & Number Sense
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Photo: PCF Tanjong Pagar Kindergarten
Addition Facts & Number Sense
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Photo: PCF Pasir Ris West Kindergarten
Counting as a Basic
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Photo: PCF Pasir Ris West Kindergarten
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Photo: PCF Pasir Ris West Kindergarten
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Photo: PCF Pasir Ris West Kindergarten
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Photo: PCF Pasir Ris West Kindergarten
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Photo: PCF Pasir Ris West Kindergarten
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Photo: PCF Pasir Ris West Kindergarten
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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
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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
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Keys Grade School Manila The Philippines
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Connections
Princess Elizabeth Primary School
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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)
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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
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mathz4kidz Learning Centre, Penang, Malaysia
concreteusingmaterials
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SEED Institute, Singapore
in using concrete materials
trainingteacher
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in using concrete materials
teachertraining
and pictorial representations
National Institute of Education, Singapore
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proficiency
A Public School in Changchun, China
mathematical
conceptual
Kilpatrick et al 2001
understandingprocedural
fluency
strategiccompetence
adaptivereasoning
dispositionproductive
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learning theoriesin developing lessons for kindergartens
PART 2
Photo: PCF Telok Blangah Kindergarten
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bruner’s theoryconcrete
mathz4kidz Learning Centre, Penang, Malaysia
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concreteexperiences
mathz4kidz Learning Centre, Penang, Malaysia
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pictorialconcreteto
from
mathz4kidz Learning Centre, Penang, Malaysia
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abstractpictorialto
from
All Kids Are Intelligent Series
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symbols
mathz4kidz Learning Centre, Penang, Malaysia
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Photo: PCF Tanjong Pagar Kindergarten
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variationtheoryof
diene’s
A Singapore Textbook for Kindergarten
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variationtheoryof
diene’s
Earlybird Kindergarten Mathematics
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variationtheoryof
diene’s
Earlybird Kindergarten Mathematics
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variationtheoryof
diene’s
Earlybird Kindergarten Mathematics
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Earlybird Kindergarten Mathematics
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Earlybird Kindergarten Mathematics
curriculumspiral
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social learningtheoryof
vygotsky’s
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Photo: Keys Grade School Manila The Philippines
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learninginter-displinary
Photo: Keys Grade School Manila
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Photo: Keys Grade School Manila
learninginter-displinary
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Photo: Keys Grade School Manila
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Photo: Keys Grade School Manila
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Photo: Keys Grade School Manila
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Photo: Keys Grade School Manila
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Photo: Keys Grade School Manila
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Photo: Keys Grade School Manila
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Photo: Keys Grade School Manila
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Photo: Keys Grade School Manila
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as a form ofeducationinvestment
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Education
Edgewood Elementary School, New York, USA
… over 80% of the fastest-growing jobs require a
knowledge base in mathematics and
science …
Obama 2007
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Wellington Primary School, Singapore
everyonecan do it
parents and teachers need to know how
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Catholic High School (Primary), Singapore
Advanced
Intermediate
Low
High
TIMSS 2007
24 4140
66 7481
92 9297
99 98100
Grade 4
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PCF Telok Blangah Kindergarten, Singapore
trendsglobalization
&
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Elementary School in Changchun, China
global citizensfuture
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Singapore
St Anthony Canosian School, Singapore
from
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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
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National Institute of Education, Singapore
knowledgeof factsfrom
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big ideas
A Public School in Khon Kaen, Thailand
mathematical
Shulman 1986
to explain why a particular
proposition is deemed warranted
“”
to
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intelligent behaviours
Kuo Chuan Presbyterian Primary School, Singapore
computationbeyond
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A Public School in Palembang, Indonesia
attitudecommunicationthinking
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[email protected]“Children are truly the future of our
nation. “Irving Harris
Bina Bangsa School, Indonesia