Dr Rosalind Phang
Add-venture Learning Pte Ltd
[email protected]
www.add-venture.com.sg
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Singapore Mathematics Curriculum
The Belief
Meaningful Learning Activities
Handouts
Handouts (slides @ www.add-venture.com.sg)
In a pack:
• Maths Fun 3, P2 +venture in Maths!,
P4 +venture in Solving Maths Problems
Bag of Goodies 
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Beliefs
Interest
Appreciation
Confidence
Perseverance
Numerical calculation
Algebraic manipulation
Spatial visualisation
Data Analysis
Measurement
Use of mathematical tools
Estimation
Monitoring of one’s own thinking
Self-regulation of learning
Making learning outcomes explicit
Mathematical
Problem
Solving
Concepts
Numerical
Algebraic
Geometrical
Statistical
Probabilistic
Analytical
Reasoning, communication
and connections
Thinking skills and heuristics
Applications and modeling
Source:
http://www.moe.edu.sg/education/syllabuses/sci
ences/files/maths-primary-2013.pdf
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Learning
Mathematics can be
fun & meaningful
Beliefs
Interest
Appreciation
Confidence
Perseverance
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Primary
Secondary
Numbers
Numbers &
Algebra
Geometry &
Measurement
Data Analysis
JC
Pure Math
Geometry &
Measurement
Statistics &
Probability
Statistics
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Primary 1
Whole
Numbers
Primary
2/3
Primary 4
Primary 5
Primary 6
Whole
Numbers
Whole
Numbers
Whole
Numbers
Whole
Numbers
Fractions
Fractions
Fractions
Fractions
Decimals
Decimals
Decimals
Percentage
Percentage
Ratio
Ratio
Speed
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Manipulatives
Maths Games
Puzzles
Good Questions
Outdoor Maths
History of Maths
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Making learning a +ve adventure!
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Reading and writing numbers
Counting
Number Sense
Grouping, re-grouping, ‘un-grouping’
Operations
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Spiral curriculum
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Concrete-Pictorial-Abstract (CPA)
 Concrete – hands-on
 Pictorial – visual
 Abstract - symbolic
Learn
Mathematics
with our Number
Friends
… making the learning of mathematics
fun and meaningful …
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Learn
Mathematics
with our Number
Friends
… making the learning of mathematics
fun and meaningful …
11
For Primary 1, 2, 3
Fun start
Concepts
Practice
Games
Puzzles
Competition
Parent’s
page
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Fun Stories about Numbers
P1, 2, 3
Primary 1
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Issue 1
Issues 2 – 4
Issues 5 – 8
Introducing the different number systems
Egyptian System (Base 10, no place-value)
Babylonian System (importance of place value)
Primary 2
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Issue 1
Issues 2 – 6
Issues 7 – 8
Story of Number One (as told by Mr One)
Chinese Rods System (problem with bigger numbers)
One as an important unit of measurement
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Fun
comics
P1, 2, 3
Sound
Teaching
Exploring
new Ideas
Reasoning
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P1, 2, 3
FUN
ACTIVITIES
Discover
& Explore
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Making & Using Manipulatives
 Inexpensive resource
 Enhances C-P-A
Uses:
 Counters
 Base 10 blocks
 On-linevideo
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Making learning a +ve adventure!
What might it be?
Play and Learn
WHY PLAY GAMES?
Practice
PROBLEM
TALK
Maths
Solving
Maths
MOULD
Character
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‘…children will gain much more
(educationally) through playing
games and fun activities, than
through drills and rote learning.‘
.. PM Lee, 2012
Play and Learn
• Spiral approach to using games in the
classroom
Easy  Rigorous
• Familiar game rules
• Games for topical practice
• Games for developing logical and strategic
thinking skills
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Number Games
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Reading and writing numbers
Counting
Number Sense
Grouping, re-grouping, ‘un-grouping’
Operations
Get to know your Number
Friends!
Level 1:
Matching 2 cards
Level 2:
Bonding to 10
Level 3:
Bigger numbers
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Reading and writing numbers
Counting
Number Sense
Grouping, re-grouping, ‘un-grouping’
Operations
Games for Topical
Practice
P1 Issue 3
• Shuffle your set of cards
• At the count of three, turn
over your top card.
• The first player to say the
sum of the numbers keeps
both cards.
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Games for Topical
Practice
P1 Issue 3
• Level 1: Addition
• Level 2: Subtraction
• Level 3: In between
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Questions to ‘tickle’ the mind and to
develop the problem solving mind-set
 Spiral approach to solving puzzles
• Easy  Rigorous
 Objective
• To develop a problem solving mind-set
PROBLEM
SOLVING
SETTING
PROBLEMS
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Reading and writing numbers
Counting
Number Sense
Grouping, re-grouping, ‘un-grouping’
Operations
Inside magazines too!
MF1
Page 11
7
2
9
5
1
4
6
3
8
Who has the highest score?
 Who has the lowest score?
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Same
Puzzle,
Different
Solutions
Maths
Fun 3
Page 5
Fun with Numbers
Puzzle cards
Polya’s 4 step
to Problem
Solving
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1
6
A
3
5
7
A
4
9
2
A
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1. Understand
2. Plan
3. Carry Out
4. Check
24 PUZZLE CARDS
Puzzles & Problem Solving
Board
Game
Maths Chess
2
x
4
8
+
5
7
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Reading and writing numbers
Counting
Number Sense
Grouping, re-grouping, ‘un-grouping’
Operations
Bigger numbers
P1 Issue 10
Maths Fun 3
Page 8
4
5
3
4 + 5 + 3 = 12
or
(4 x 5) – 3 = 17
HOW TO WIN
The first player to get 4 counters in
a row, column or diagonal wins!
Let’s Play
Number Hunt
Number Hunt
Primary 1
Primary 2
Primary 3
Basic
Shapes
2-D Figures
Angles
Angles
Comparing
Notation
Measuring
Drawing
Lines,
Curves,
Surfaces
with
Primary 4
right angles
Perpendicular/
Perpendicular/
Patterns
Parallel Lines
Parallel Lines
Properties
of
Squares &
Rectangles
Symmetry
Tessellation
Primary 5
Angles
Properties
to find
unknown
angles
Properties
of
Triangles
Parallelograms
Rhombuses
Trapeziums
Primary 6
Finding
Angles
in
Geometrical
figures
Nets
Van-Hiele Theory
Provide rich
geometric experiences
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Make your own
Tangram
P1 Issue 4
GEOMETRY GAMES
of 5 triangles, a square and a parallelogram
Tangram Activities
 Making the Tangram
 Slide-and-Splash
 Memory Game
 2/3 -piece shape puzzle
- know your shapes
- know your shapes
- orientation
- formation
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Board Game - Slide and Splash
MEMORY GAME
• Put your hands on
your lap.
• A picture will appear.
• Look at the picture
carefully as it will
disappear after 5
seconds.
• Form the picture you
have just seen using
the pieces in your
tangram set.
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Memory Game
Memory Game
Memory Game
20 PUZZLE CARDS
Geometry Games for Learning
Progress slowly
Identifying and writing names of basic shapes
 Using 2 pieces to make a basic shape
 Using 3 pieces to make a basic shape
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P1
Issue 4
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Use 3 triangles to form:
Triangle
Parallelogram
3-piece puzzle
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Answer
Triangle
Parallelogram
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Games for learning
 2-Plus-1 game
 3-Plus-1 game
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Form the figure below using
2 small triangles
+
1 other tangram piece.
2 Plus 1
Develops
Spatial
Visualization Skills
2 Plus 1
20 PUZZLE CARDS
Maths Fun 3
Board Game - Hop & Form
Games for learning
 Tangram Tac-Toe
 Fraction Tac-Toe
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Tangram Tac-Toe Board
Fraction Tac-Toe Board
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 Fraction Tac-Toe
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5 card games
11 board games
5 card games
5 board games
Solve one good problem every two weeks …
EXPOSURE
TO GOOD
PROBLEMS
SETTING
PROBLEMS
PROBLEM
SOLVING
If I had an hour to solve a problem I'd spend 55
minutes thinking about the problem and 5 minutes
thinking about solutions.
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Our partners and stakeholders
 Singapore Maths Curriculum made Simple
 More ideas on using Maths around us
 Fun Maths things to do with the children
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Issue 2
‘Play’ Approach
Tips to teach number bond in
a fun way!
Introducing teaching
Methods used by teachers
Concrete-pictorial-Abstract
Approach
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FUN MATHS
TRAILS
 P1 – Singapore River
 P2 – Neighbourhood
 P3 – Bukit Timah Hill
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Making learning a +ve adventure!
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Animation of Fun start for P1
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Games videos
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E-practices
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E-videos
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Writers
Dr Rosalind Phang
Dr Tang Wee Kee
School of Physical & Math Sciences, NTU
Advisory Board
 Prof Lee Peng Yee

Game Sets
 Prof Koh Khee Meng

Ms Choo Swee Kim
Professor of Mathematics NIE/NTU
Professor of Mathematics NUS
 Prof Leo Tan

Director, NIE (1994-2006); Professor (Special Projects),
NUS; President, SNAS
 Assoc Prof Lubna Alsagoff
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Associate Dean, NIE/NTU, Grammar Expert
Making learning a +ve adventure!
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So why PLAY?
• To master basic skills
• To understand and
follow instructions
• Develop visual skills
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+venture
in Maths!
(Primary 1 – 3)
GAME SETS
16 Issues + 1 Maths
Fun + 1 Maths Trail
Fun with Numbers
Fun with Geometry
$37
(delivered to school 4 times
a term)
$40 per set
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… Make learning a +ve adventure!
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