St Edward's School, Florida

The ABCDs of Singapore Math
Lower School Professional Development
St Edward’s School
Vero Beach FL
www.banhar.blogspot.com
Yeap Ban-Har, Ph.D.
Singapore
banhar.yeap@pathlight.org.sg
DaQiao Primary School

Catholic High School (Primary)

introduction
Wellington Primary School

Classroom Task
Lesson Study Problem
Wellington Primary School
Move 3 sticks to make 3 squares.

88 children took part in a swimming competition. 1/3 of the boys and 3/7 of the girls wore swimming goggles. Altogether 34 children wore swimming goggles.
How many girls wore swimming goggles on that day?
Teacher-Constructed Test Item
Fairfield Methodist Primary School

88
34
54

34 – 20 = 14
54 – 34 = 20
34
54

3 x 7 = 21
21 girls wear goggles.

Beliefs
Interest
Appreciation
Confidence
Perseverance
Monitoring of one’s own thinking
Self-regulation of learning
Attitudes
Metacognition
Numerical calculation
Algebraic manipulation
Spatial visualization
Data analysis
Measurement
Use of mathematical tools
Estimation
Mathematical Problem Solving
Reasoning, communication & connections
Thinking skills & heuristics
Application & modelling
Skills
Processes
Concepts
Numerical
Algebraic
Geometrical
Statistical
Probabilistic
Analytical
Mathematics Curriculum Framework

Philosophy of the Education System
thinking schools
learning nation
Ministry of Education 1997

mathz4kidz Learning Centre, Penang, Malaysia
Trends in
Mathematics
This whole shape stands for 1.
& Science Studies
What does this stand for?
apply
their understanding
and knowledge
in a variety of
complex situations

Trends in
Mathematics
& ScienceStudy
explain
their reasoning

mathematical
literacy
… capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgments, and to use and engage with mathematics in ways that meet the needs of that individual’s life …
OECD Program for International Student Assessment (PISA)

effective
mathematics
teaching
BinaBangsa School, Indonesia

Primary Mathematics 1A
Pedagogical Principle:
Bruner

Number Bonds
PCF Kindergarten TelokBlangah

Bruner
The concrete  pictorial  abstract approach is used to help the majority of learners to develop strong foundation in mathematics.
Division
National Institute of Education

Division
Princess Elizabeth Primary School

Catholic High School (Primary)

bruner’s theory
concrete
A lesson from Earlybird Kindergarten Mathematics

concrete
experiences

from
concrete
to
pictorial

from
pictorial
to
abstract
All Kids Are Intelligent Series

symbols

using
concrete
materials
Professional Development in AteneoGrade School, Manila, The Philippines
Lesson Study in a Ministry of Education Seminar on Singapore Mathematics Teaching Methods in Chile

Primary Mathematics (Standards Edition) 2A
Pictorial Before Abstract

bruner
Lesson Study in a Ministry of Education Seminar on Singapore Mathematics Teaching Methods in Chile

skemp’s
theory
conceptual
understanding
BinaBangsa School, Semarang, Indonesia

Keys Grade School, Manila, The Philippines

Skemp
Understanding in mathematics
relational
(conceptual)
instrumental
(procedural)
conventional
Teaching for conceptual understanding is given emphasis in Singapore Math.
Skemp
Primary Mathematics Standards Edition Grade 6

Fraction Division

skemp
Scarsdale Middle School New York

Dienes
Dienes encouraged the use of variation in mathematics education – perceptual variability and mathematical variability.
Dienes
Primary Mathematics Standards Edition

Dienes

How is Task 4 different from Task 5?
16

16
What is the given in Task 5? What is the given in Task 6? Are these different?
30

Earlybird Kindergarten Mathematics
Standards Edition
Can you see how Dienes’ idea is used in designing these tasks?
diene’s
theory
of
variation

dienes
Princess Elizabeth Primary School, Singapore

thinking
problem solving
bruner’scpa approach
conceptual understanding
diene’s variations

Emphasis on pictorial representation and systematic variation to enhance conceptual understanding

conclusion
PCF Kindergarten PasirRis

Instructional Models
Coaching
Modeling
Providing
Explaning
DaQiao Primary School

“Children are trulythe future of our nation. “
Irving Harris

This presentation is based on part of one of Singapore pre-service mathematics method courses.
50% of Singapore elementary teachers are not college graduate and they are not trained to be specialists.
The TEDS-M findings provide some evidence into the effectiveness of this form of professional development.

TEDS-M Elementary Teachers
Content Knowledge
TEDS-M Elementary Teachers
Pedagogical Content Knowledge

TEDS-M Middle School Teachers
Content Knowledge
TEDS-M Middle School Teachers
Pedagogical Content Knowledge

http://www.mathz4kidz.com	1371
http://mathz4kidz.com	444
http://banhar.blogspot.com	28
http://singaporemathz4kidz.blogspot.com	23
http://translate.googleusercontent.com	3
http://www.banhar.blogspot.com	2
http://www.mathz4kidz.com} {821249772\|\|\|pingback	2
http://www.mathz4kidz.com.	2
http://webcache.googleusercontent.com	1

St Edward's School, Florida

by Jimmy Keng on Aug 01, 2010

Accessibility

Categories

Tags

Upload Details

Usage Rights

9 Embeds 1,876

Statistics

St Edward’s School, Florida — Presentation Transcript