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Revitalising Mathematics Teaching and Learning Culture towards

Sustainable Living

EditorsBeverly FerrucciLei Mee Thien

Southeast Asian Ministers of Education OrganizationRegional Centre for Education in Science and Mathematics

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Copyright © 2017 SEAMEO RECSAM

Revitalising Mathematics Teaching and Learning Culture towards Sustainable Living

For more information about this book contact:The Director

SEAMEO RECSAMJalan Sultan Azlan Shah

11700 GelugorPulau Pinang, Malaysia

Tel: +604-6522700Fax: +604-6522737

Email: director@recsam.edu.myURL: http://www.recsam.edu.my

Publication by:Publication Unit

SEAMEO RECSAMPenang, Malaysia

All rights reserved, except for educational purposes with no commercial interests. No part of this publication may be reproduced, transmitted in any form or by any means, electronic or mechanical including photocopying, recorded or by any information storage or retrieval system, without prior permission from the Director, SEAMEO RECSAM

ISBN: 978-967-930-047-5

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PREFACESoutheast Asian Ministers of Education Organisation Regional Centre for Education in Science and Mathematics (SEAMEO RECSAM) is committed to nurture and enhance the quality of science, mathematics and technology education in the SEAMEO Member Countries, including Brunei Darussalam, Cambodia, Indonesia, Lao PDR, Malaysia, Myanmar, Philippines, Singapore, Thailand, Timor Leste, and Vietnam. SEAMEO RECSAM has been influential in pushing for science and mathematics education motivated by values, stimulated by change and inspired by development in the region. In conjunction with this, SEAMEO RECSAM has initiated the International Conference on Science and Mathematics Education (CoSMEd) in every two years with the purpose to provide a platform to review issues, exchange ideas and share experiences on the development of science and mathematics education at both national and international levels.

This book is the output of the 6th CoSMEd which held in Nov 2015. This book consists of 17 chapters that have been gone through thorough review and revision process. The book chapters are divided into four parts. The first part is related to pedagogical innovation in mathematics education. The discussion in Chapter 1 to Chapter 5 include the Payne-Rathmell Triangle Model with journal writing in the teaching of Geometry and Project-Based Inquiry Learning (PBIL). Meanwhile, the second part of the book is related to students’ engagement in mathematics learning. Chapter 6 focuses on students’ mathematics engagement at Malaysian boarding schools. Chapter 7 and 8 discuss students’ misconception in mental computation abilities and number sense. Meanwhile, Chapter 9 presents Malaysian and Singaporean students’ attitudes toward mathematics and their mathematics achievement. The third part of the book presents various research related to mathematics teacher education. Chapter 10 and 11 discuss mathematics teachers’ subject matter knowledge and pedagogical content knowledge. Chapter 12 and 13 present teachers’ higher order thinking skills. Chapter 14 focuses on the investigation of relationship between self-efficacy and emotional intelligence with resiliency of mathematics trainee teachers during practicum. The last part of the book is related to assessment in mathematics education. Chapter 15 demonstrates the development of an Amotivational Scale in Mathematics; Chapter 16 assesses the difficulty indices of teacher-made mathematics tests; and Chapter 17 presents the development of cognitive diagnostic assessment to assess primary pupils’ cognitive content and process skills in the learning of time.

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It is hoped that the content of this book could benefit the readers in terms of new knowledge and skills towards revitalising mathematics teaching and learning culture that lead to sustainable living. The readership of this book could be extended to education stakeholders at every level, including researchers, school headmaster and principals as well as pre- and in-service teachers.

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LIST OF REVIEWERSProf. M. A. (Ken) ClementsProf. Jack CarterProf. Yuriko Yamamoto BaldinProf. Parmjit SinghProf. Balakrishnan MuniandyProf. Beverly Ferrucci

Assoc. Prof. Jaguthsing DindyalAssoc. Prof. Toh Tin LamAssoc. Prof. Chew Cheng MengAssoc. Prof. Datin Sharifah Norul AkmarAssoc. Prof. Nordin Abd Razak

Dr I Gusti Ngurah DarmawanDr Precharn DecshriDr Wahyudi Dr Balasubramaniam SidamparamDr Leong Kwan EuDr Rosidah AhmadProf. Dato’ Dr T. Subahan M. MeerahDr Wun Thiam YewDr Thien Lei Mee

Mr. Barry Kissane

Coordinator of Panel ReviewersDr Thien Lei Mee

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TABLE OF CONTENTS

PREFACE iii

LIST OF REVIEWERS v

ACKNOWLEDGEMENTS viii

PART 1: PEDAGOGICAL INNOVATION IN MATHEMATICS EDUCATION 1Chapter 1: Introductory Statistics Performance, MathXL and Khan

Academy: A WalkthroughCraig N. Refugio

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Chapter 2: The Effectiveness of the Payne-Rathmell Triangle Model with Journal Writing in the Teaching of GeometryJessie B. Aquino

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Chapter 3: The Effectiveness of an Inservice Training of Pre-School Teachers on STEM Integration through Project-Based Inquiry Learning (PBIL)Aminah Ayob, Ong Eng Tek, Nasir Md Ibrahim, Mazlini Adnan, Jameyah Shariff, & Noriah Ishak

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Chapter 4: The Effectiveness of the Use of Information and Communication Technology (ICT) in Teaching MathematicsJessie B. Aquino

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Chapter 5: “Work Like a Mathematician”: A Study of Secondary Students’ Levels of Engagement “Doing” Maths in a Whiteboard RoomCarolyn E. Sandison, Tricia Forrester, & Sue Denny

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PART 2: STUDENTS’ ENGAGEMENT IN MATHEMATICS LEARNING 67Chapter 6: An Exploratory Study towards Students’ Mathematics

Engagement at Boarding Schools in MalaysiaAhmad Fauzi Mohd Ayub, Norakusuma Mohd Din, & Kamariah Abu Bakar

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Chapter 7: Mental Computation Abilities of Grade 7 StudentsPalanisamy K. Veloo

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Chapter 8: Misconceptions of 7th Grade Students in Solving Number Sense ProblemsPalanisamy K. Veloo

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Chapter 9: TIMSS Grade 8 Students’ Attitudes toward Mathematics and Mathematics Achievement: A Descriptive Study between Malaysia and SingaporeLay Yoon Fah & Chin Kin Eng

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PART 3: MATHEMATICS TEACHER EDUCATION 125

Chapter 10: A Path Analysis of Mathematics Teachers’ Subject Matter Knowledge, Pedagogical Content Knowledge, and Professional LearningNor’ain Mohd. Tajudin & Noor Shah Saad, & Mohan Chinnappan

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Chapter 11: Comparing the Pedagogical Flows of Two Primary Mathematics Research Lessons on the Same Topic of TimeChia Hui Min & Lim Chap Sam

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Chapter 12: Knowledge and Higher Order Thinking Skills Pumadevi Sivasubramaniam

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Chapter 13: Relationships between Mathematics Teachers’ Attitude, Confidence and Anxiety towards Infusing HOTS in Teaching and LearningAbu Bakar Kamariah, Ahmad Fauzi Mohd Ayub & Rosnaini Mahmud, & Mat Rofa Ismail

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Chapter 14: Relationship between Self-Efficacy and Emotional Intelligence with Resiliency of Mathematics Trainee Teachers during Practicum: A PLS-SEM ApproachNgui Geok Kim & Lay Yoon Fah

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PART 4: EDUCATIONAL ASSESSMENT 200

Chapter 15: Development of an Amotivational Scale in MathematicsEraljane V. Permites

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Chapter 16: Assessing Difficulty Indices of Teacher-Made Mathematics TestsAhmad Zamri bin Khairani & Hasni binti Shamsuddin

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Chapter 17: Developing A Cognitive Diagnostic Assessment To Assess Primary Pupils’ Cognitive Content And Process Skills In The Learning Of Time: A Preliminary AnalysisTan Phei Ling & Lim Chap Sam

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ACKNOWLEDGEMENTS

This book was published under the auspices of SEAMEO RECSAM. The opinions expressed in these chapters are those of the authors and do not necessarily reflected the opinions of the Centre.

The editors would like to acknowledge and thank the following persons for their invaluable contribution to make the publication of this book a success. • The Centre Director, Dr. Hj. Mohd. Johan Zakaria, D.J.N. and Deputy Director

(Research and Development), Dr. Nur Jahan Ahmad for their leadership and motivation to the RECSAM Conference Committee in organising the 6th International Conference on Science and Mathematics Education (CoSMEd 2015).

• The international and national reviewers who have contributed their diligent and meticulous reviews.

• The chapter authors of the book. • Ong Mei Yean who have helped to proofread each book chapter and the

formatting of the entire book publication. • RECSAM staffs from Publication Unit, namely Wong Lai Cheng, Shaneem

Kamarudin, Nur Syafiyah Kassim, and Muhammad Nadzrul Shafiq Zulkefli who have worked tirelessly to ensure the publication of the book.