Developing 21st century competencies in the mathematics classroom: yearbook 2016: Association of Mathematics Educators

290 Pages·2016·5.419 MB·English

by  Kaur, Berinderjeet, Toh, Pee Choon

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Published by
World Scientific Publishing Co. Pte. Ltd.
5 Toh Tuck Link, Singapore 596224
USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601
UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
DEVELOPING 21ST CENTURY COMPETENCIES IN THE
MATHEMATICS CLASSROOM
Yearbook 2016, Association of Mathematics Educators
Copyright © 2016 by World Scientific Publishing Co. Pte. Ltd.
All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means,
electronic or mechanical, including photocopying, recording or any information storage and retrieval
system now known or to be invented, without written permission from the publisher.
For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance
Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy
is not required from the publisher.
ISBN 978-981-3143-60-9
Printed in Singapore
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Contents

Chapter 1 21st Century Competencies in Mathematics 1
Classrooms
Pee Choon TOH
Berinderjeet KAUR

Chapter 2 Mathematics Education, Virtues and 21st 13
Century Competencies
Stephen THORNTON

Chapter 3 Enriching Secondary Mathematics Education with 33
21st Century Competencies
WONG Khoon Yoong

Chapter 4 Mathematics in 21st Century Life 51
Barry KISSANE

Chapter 5 Mathematics Subject Mastery – A Must for 77
Developing 21st Century Skills
Berinderjeet KAUR
WONG Lai Fong
Divya BHARDWAJ

Chapter 6 Teaching in the 21st Century Mathematics 95
Classroom: Metacognitive Questioning
Cynthia SETO
vi Developing 21st Century Competencies in the Mathematics Classroom
Chapter 7 Listening and Responding to Children’s Reflective 109
Thinking: Two Case Studies on the Use of the
National Assessment in Japan
Keiko HINO

Chapter 8 Using Open-Ended Tasks to Foster 21st Century 133
Learners at the Primary Level
YEO Kai Kow Joseph

Chapter 9 Productive Talk in the Primary Mathematics 149
Classroom
KOAY Phong Lee

Chapter 10 Justification in Singapore Secondary Mathematics 165
CHUA Boon Liang

Chapter 11 Examples in the Teaching of Mathematics: 189
Teachers’ Perceptions
Lay Keow NG
Jaguthsing DINDYAL

Chapter 12 On the Efficacy of Flipped Classroom: 213
Motivation and Cognitive Load
Weng Kin HO
Puay San CHAN

Chapter 13 Use of Comics and Storytelling in Teaching 241
Mathematics
TOH Tin Lam
CHENG Lu Pien
JIANG Heng
LIM Kam Ming
Contents vii
Chapter 14 Game Theory: An Alternative Mathematical 261
Experience
Ein-Ya GURA

Contributing Authors 273
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Chapter 1
21st Century Competencies in Mathematics
Classrooms
Pee Choon TOH Berinderjeet KAUR
This chapter introduces the Singapore Framework for 21st Century
Competencies and Student Outcomes (MOE, 2010) and also
provides an overview of the chapters in the book. The chapters are
classified into three broad themes. The first is an examination of
21st century competencies and how they can be developed within
the context of the mathematics curriculum. The second is an in-
depth discussion of evidence-based practices aimed at fostering
specific competencies like metacognition and reflective thinking,
critical thinking, reasoning and communication skills. The third and
last theme is about teaching approaches that are likely to feature
increasingly in 21st century classrooms.
1 Introduction
This yearbook of the Association of Mathematics Educators (AME) in
Singapore focuses on developing 21st Century Competencies in
Mathematics Classrooms. Like previous yearbooks, Mmatical Problem
Solving (Kaur, Yeap, & Kapur, 2009), Maathethematical Applications
and Modelling (Kaur & Dindyal, 2010), Assessment in the Mathematics
Classroom (Kaur & Wong, 2011), Reasoning, Communication and
Connections in Mathematics (Kaur & Toh, 2012), Nurturing Reflective
Leaners in Mathematics (Kaur, 2013), and Learning Experiences to
Promote Mathematics Learning (Toh, Toh, & Kaur, 2014), the theme of
this book is shaped by the school mathematics curriculum developed by