9 April 2016

Mdm Nurmala & Mdm Suma

~ Singapore Mathematics Framework

~ Lower Primary Mathematics Curriculum

~ Mathematics Focus in Lower Primary

~ Our Teaching Approach & Focus

~ Heuristic Skills

~ Model Drawing

~ Inculcating Positive Attitude Towards Math

~ PERI Recommendations

~ Alternative Assessments

~ Learning Support for Mathematics (LSM)

Overview

Beliefs

Interest

Confidence

Perseverance

Monitoring of one’s own thinking

Selection & use of

problem solving

strategies

Knowledge skills

Reasoning,

communication,

making connections

Thinking skills and

heuristics

Numerical

calculation

Manipulation of

Mathematical tools

Data collection &

analysis Measurement Basic Numeracy,

Measurement &

Data Analysis

Primary 1 Primary 2

Numbers up to 100 Numbers up to 1000

Addition & Subtraction Addition & Subtraction

Multiplication & Division Multiplication & Division

Money Fractions

Length Money

Time Length, Mass and Volume

2D Shapes Time

Picture Graphs 2D & 3D Shapes

Picture Graphs

What is Teaching and Learning?

Teacher explains

Pupils practice

Feedback

Mathematics Focus

Teaching Consideration & Approach

Concrete-Pictorial-Abstract (CPA)

Approach

PETALS: Pedagogy, Experience of

Learning, Tone of Environment,

Assessment, Learning Content & Student-

Centredness

Mathematics Focus

1. Concrete

Manipulation of materials is crucial.

Important Theories of Learning

visualize objects that have been

handled and that are easily

imagined without any real effort.

2. Pictorial

Important Theories of Learning

Concrete (C)

Transform the pictorial to symbols

Pictorial (P)

3. Abstract

4 Abstract (A)

Important Theories of Learning

Problem Solving Skills for

Lower Primary

• I do!

Teacher explains concept and

shows an example of how the

concept it applied in a question.

• We do!

Teacher and students solve another

example together.

• You do!

Students try to solve the questions

by themselves.

Act It Out

Look For Patterns

Guess & Check

Draw A Picture

Make A List

Work Backwards

Assess students’ knowledge, basic

computation skills

and problem solving

in familiar contexts

What is Heuristic Skills?

Routine

Questions Non-Routine

Questions

Assess students’ thinking

skills and require them to

apply Mathematical

concepts in a complex situation

Look at the number pattern below.

What is the missing number?

Routine Questions

9 3, ,11 7, 5,

• Recognise the sequence – odd numbers.

• Difference between each number is

constant

Routine Questions

9, 3, 11 7, 5,

+2 +2 +2 +2

Observe the following patterns carefully. Draw the shapes that come next.

_____

Routine Questions

The shapes below form a patter.

Draw the missing shape.

Non -Routine Questions

?

• The shaded squares are placed in a

constant pattern.

• The shaded squares move 1 step to

the right each time.

Non -Routine Questions

Henry has a total of 6 parrots and dogs.

There are 20 legs altogether. How many

dogs does Henry have?

Solution:

Draw 6 circles for 6 animals.

Draw 2 lines under each circle to represent

a parrot.

20 - 12 = 8 (legs)

The extra 8 legs should come from the

dogs. Now, add in 2 more legs to four

circles. Those with 4 legs are the dogs.

4 dogs 2 parrots

Henry has 4 dogs.

When I subtract two numbers from each

other, I get 2.

When I add up the two numbers, I get 6.

What are the two numbers?

A + B = 6

0 + 6 = 6

1 + 5 = 6

2 + 4 = 6

3 + 3 = 6

6 - 0 = 6

5 - 1 = 4

4 - 2 = 2

3 - 3 = 0

The two numbers are 2 & 4.

I am a 2-digit number.

I am more than 24 but less than 31.

I can be found in both the

multiplication tables of 2 and 3.

What number am I?

Multiplication of 2 is 26, 28, 30

Multiplication of 3 is 27, 30

I am number 30.

Peter ate 3 sweets.

He gave the rest of the sweets equally to

8 friends.

Each friend received 4 sweets.

How many sweets did Peter have at first?

8 x 4 = 32

Peter has 35 sweets at first.

32 + 3 = 35

Look at the pattern below.

Follow the pattern to find the number

of sticks needed for the 5th & 7th

shape.

Number of

square 1st 2nd 3rd 5th 7th

Number of

sticks

4 8 12 20 28

• A new skill taught in Lower

Primary (P2)

• One of the strategies used in

solving word problem

• Progression from pictorial

concept to abstract concept

1.Underline important key words

2.Draw the correct model

3.Show the number statement

4.Show the working

5.Complete the word statement

Question:

I have 8 green apples and 7 red apples. How many apples do I have altogether?

Part-Whole Concept

Let’s Try!

Sam has 9 tarts.

His mother gave him 4 tarts.

How many tarts does Larry

have altogether?

Question:

I have 15 apples. 8 of them are green

apples.

The rest are red apples.

How many red apples do I have?

Part-Whole Concept

Let’s Try! Mary bought 20 eggs.

She broke 7 of them.

How many eggs does she have left?

Question

Mindy has 4 stickers. Joyce has 7

more stickers than Mindy.

How many stickers does Joyce have?

Comparison Model

Let’s Try!

Larry has 10 blue cars. He has

6 more red cars.

How many red cars does Larry have?

Question Sandra has 7 stickers. Rani has 4 stickers.

How many fewer stickers does Rani have

than Sandra ?

Comparison Model

Let’s Try! Ken has 12 sweets. He has 5 more

sweets than Cindy. How many

sweets does Cindy have?

Board games – monopoly,

checkers, sudoku

Card games – UNO, number

cards

Online games

Make Learning Math Fun – Learn Through Games

Washing dishes at home

Schedules of TV

programmes – telling time, duration

Baking – looking at

measurements of

ingredients

Make Learning Math Fun – Learn Through Activities

Grocery shopping

Playground

Make Learning Math Fun – Learn Through Activities

http://primary.asknlearn.com

www.primarygames.com

www.multiplication.com/flashgames/

http://www.metacafe.com/watch/89171

5/math_trick_for_your_fingers_easy_multiplication/

http://www.superkids.com/aweb/tools/m

ath/index.shtml

http://sg.ixl.com/math/primary-1

http://www.coolmath.com/

http://www.jigsawdoku.com/

Make Learning Math Fun - Learn Through Online Games

Make time for learning to

happen

Make sure that your child

enjoys the learning

experience

Make Learning Math Fun – Learn Through Activities

• Primary Education Review &

Implementation Committee set up to

raise quality of primary education

• Encourage schools to move away from

an overly strong emphasis on

examinations in P1 & P2, and to explore

the use of bite-sized forms of

assessment to help build pupils’ confidence and the desire to learn.

Alternative Assessments

~ Performance-Based Task

(Similar in nature to practical task)

6 April 2014

Mdm Fauziah