Rekenwonders Bazalt HCO

teaching mathematics
focusing on problem solving
DrYeap Ban Har
Marshall Cavendish Institute
Singapore
banhar@sg.marshallcavendish.com
www.banhar.blogspot.com
www.banhar.com
Today’s discussion is based on lessons taken from a Singapore textbook series. The goal is to see how mathematics teaching can be made to focus on problem solving and how the lessons can be differentiated for struggling and advanced students.
Photographs of the session is available on Facebook

fundamental
principles
mathematics
of
teaching
& learning
Review

concrete

pictorial

abstract

concrete
pictorial
abstract

variations

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

one
example

Show 32 using base ten blocks.
Do 32 – 9 .

two
example

This piece of paper represents 1.
Divide it into four equal parts.

St Edward’s School, Vero Beach, Florida

Initial Concrete Experience
Subsequent Pictorial Representation

Eventual Symbolic Representation

three
example

Fuchun Primary School, Singapore

four
example

five
example

six
example

Reference: My Pals Are Here! Maths

Reference: Primary Mathematics (Standards Edition)

seven
example

Kyla
?
$28 – $9 = $19
Kyla has $19.
Jake
?
$9
$28

apples
90
oranges
38
pears
15

apples
90
oranges
pears
15
23

90 + 15 = 105
5 units 
1 unit  105 ÷ 5 = 21
There were (21 + 21 + 23) apples, hence oranges.
There were 44 oranges used.
apples
?
oranges
pears
15
23

http://banhar.blogspot.com	87
http://www.banhar.blogspot.com	43
http://translate.googleusercontent.com	2
http://banhar.blogspot.pt	1

Rekenwonders Bazalt HCO

by Jimmy Keng on Apr 20, 2011

Accessibility

Categories

Tags

Upload Details

Usage Rights

4 Embeds 133

Statistics

Rekenwonders Bazalt HCO — Presentation Transcript