teaching kindergarten mathematics 10th creating a world-class education conference manila, the...
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Teaching Kindergarten Mathematics10th Creating a World-Class Education ConferenceManila, The Philippines5-6 November 2009TRANSCRIPT
Teachingkindergarten Mathematics
Yeap Ban HarNational Institute of Education
Nanyang Technological UniversitySingapore
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
Photo: PCF Telok Blangah Kindergarten
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
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
Number Bonds
Photo: PCF Telok Blangah Kindergarten
One duck is big. Six ducklings are small.
Photo: PCF Telok Blangah Kindergarten
Photo: PCF Telok Blangah Kindergarten
Photo: PCF Telok Blangah Kindergarten
Photo: PCF Telok Blangah Kindergarten
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.
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.
Addition Facts & Number Sense
Photo: PCF Tanjong Pagar Kindergarten
Addition Facts & Number Sense
Photo: PCF Pasir Ris West Kindergarten
Counting as a Basic
Photo: PCF Pasir Ris West Kindergarten
Photo: PCF Pasir Ris West Kindergarten
Photo: PCF Pasir Ris West Kindergarten
Photo: PCF Pasir Ris West Kindergarten
Photo: PCF Pasir Ris West Kindergarten
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
Photo: PCF Telok Blangah Kindergarten
bruner’s theoryconcrete
mathz4kidz Learning Centre, Penang, Malaysia
concreteexperiences
mathz4kidz Learning Centre, Penang, Malaysia
pictorialconcreteto
from
mathz4kidz Learning Centre, Penang, Malaysia
abstractpictorialto
from
All Kids Are Intelligent Series
symbols
mathz4kidz Learning Centre, Penang, Malaysia
Photo: PCF Tanjong Pagar Kindergarten
Photo: PCF Tanjong Pagar Kindergarten
variationtheoryof
diene’s
A Singapore Textbook for Kindergarten
variationtheoryof
diene’s
Earlybird Kindergarten Mathematics
variationtheoryof
diene’s
Earlybird Kindergarten Mathematics
variationtheoryof
diene’s
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
Earlybird Kindergarten Mathematics
curriculumspiral
social learningtheoryof
vygotsky’s
Photo: PCF Tanjong Pagar Kindergarten
Photo: Keys Grade School Manila The Philippines
learninginter-displinary
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
learninginter-displinary
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
Photo: Keys Grade School Manila
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