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Mathematics

Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

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Page 1: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Mathematics

Page 2: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

General

Weaknesses

Poor spatial visualisation

Whole Numbers Fractions

Area & Perimeter

General Weaknesses

Difficulty in applying mathematical concepts and skills to problem-solving situations

Page 3: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Addressing AFI

Differentiated Curriculum

Adjustment of topics Hands-on activities Process Thinking Skills (PTS)

programme

Speed Math

MAIL Programme Remedial Programme

Math Gym

Pedagogy

Concrete-Pictorial-Abstract (C-P-A) approach

Polya’s 4-Step Problem-Solving process

Use of ICT

Page 4: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Differentiated Curriulum:

Process Thinking Skills (PTS) Programme

Page 5: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Differentiated Curriulum:

Process Thinking Skills (PTS) Programme

• A structured programme to enhance pupils’

problem-solving skills & heuristics through

scaffolding.

• Skills/heuristics taught include:

model-drawing

grouping

systematic listing

look for a pattern

working backwards

Page 6: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Pedagogy:

Polya’s 4-Step Problem-Solving Process

Understanding a Problem

Devising a Plan

Carrying out a Plan

Looking Back

A structured method/approach to effective problem-solving

Page 7: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Understand

Plan

Carry out the plan

Reflect

Page 8: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Differentiated Curriulum:

Math Gym

Reflection journal for Maths Gym

Page 9: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Differentiated Curriulum:

Math-in-everyday-Life (MAIL) Programme

Pupils checking out prices of pastries at Bangawan Solo

Pupils interviewing a tourist

Pupils working collaboratively on an iPad

Page 10: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

oncrete – hands-on, use of manipulatives

to introduce a new idea or concept

ictorial – relate hands-on experiences to visual

representations such as diagrams or models

bstract – represent problems by using

mathematical notation

Enables pupils to encounter math in a meaningful way and translate mathematical concepts from the concrete to the abstract.

Pedagogy: C-P-A Approach

Page 11: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Hands-on activities for Fractions, Time, Money etc.

P3 & P6 pupils using Geo-boards to learn concepts on Area & Perimeter

P5 & P6 Learning Package for Volume, Circles, Nets & Solid Figures

Page 12: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

ICT is used to engage learners in the Mathematics

classroom. Examples of ICT tools used include

interactive online lessons in Learning Management

System, e-assignments, mobile apps, online

applets etc.

Pedagogy: Use of ICT

Page 13: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Use of ICT: MConline

Tutorial

Activity

Quiz

Page 14: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Use of ICT: MConline

Tutorial

Page 15: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Use of ICT: MConline

Activity

Page 16: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Use of ICT: MConline

Quiz

Page 17: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Use of ICT: e-Learning Platform

Upcoming: Implementing another e-learning Mathematics platform with differentiated content and self-directed learning features.

Page 18: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Assessment Items

• Knowledge Questions (K) • Comprehension Questions (C) • Application Questions (A)

Page 19: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Assessment Items

Cognitive Levels Definition

Knowledge Require pupils to recall specific mathematical facts, concepts, rules and formulae, and perform straight-forward computations

Comprehension Require pupils to interpret data and use mathematical concepts, rules and formulae and solve routine or familiar mathematical problems

Application Require pupils to analyse data and/or apply mathematical concepts, rules and formulae in a complex situation, and solve unfamiliar problems. (Application Questions)

Page 20: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

• Knowledge Question: In 43.21, what does the digit 2 stands for?

• Application Question:

Mrs Lim and Mrs Tan both met at the market on

6 December 2012. If Mrs Lim visits the market once every 3 days and Mrs Tan visits the market once every week, what will be the earliest date that they will meet again?

Page 21: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Assessment

• Diagnostic test(s) for major topics in Term 1 &

Term 3 to help assess pupils’ understanding of

concepts and mastery of problem-solving skills.

• To help pupils better cope with the rigour of the Math Curriculum, number of problem sums in Section C of SA1 & SA2 will be gradually increased: from 5 to 6 from 6 to 8

Page 22: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Homework Policy

Purpose of homework Reinforce and support learning Inculcate responsibility and ownership Encourage pupils to work actively instead of passively Encourage partnership with parents Allow time to stimulate thinking and develop ideas

•Ample time will be provided for pupils to complete a piece of work •Subject teachers will coordinate with each other to ensure that pupils are not overloaded with work •However, please help to ensure that pupils complete their homework before other additional work.

Page 23: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Level Max Duration per Day

P4 30 min – 1 h

Page 24: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Strategies to help pupils excel in Mathematics

Build strong conceptual knowledge Build a sound foundation in basic concepts

through lots of practice Clarify doubts immediately with teacher

Master Process Thinking & Problem-Solving Skills Look out for details in every question. Break down complex word problems into smaller

parts. Learn to apply multiple concepts in the same

problem.

Page 25: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Strategies to help pupils excel in Mathematics

Develop effective computational skills. (i.e. 4 operations, basic conversions)

Build good time management skills. Aim for both Speed & Accuracy.

Page 26: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Strategies to help pupils excel in Mathematics

Revise ALL topics in the syllabus.

Regular revision & practices: To gain confidence in application of skills &

concepts. To internalise skills & concepts learnt.

Page 27: Mathematics Holy Innocents’ Primary School · 2016-02-01 · Polya’s 4-Step Problem-Solving process Use of ICT . Holy Innocents’ Primary School ... model-drawing grouping systematic

Holy Innocents’ Primary School

Strategies to help pupils excel in Mathematics