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E-grāmata: Big Ideas In Mathematics: Yearbook 2019, Association Of Mathematics Educators

Edited by (Ntu, S'pore), Edited by (Nanyang Technological University, Singapore)
  • Formāts: 404 pages
  • Izdošanas datums: 21-May-2019
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • Valoda: eng
  • ISBN-13: 9789811205392
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Big Ideas In Mathematics: Yearbook 2019, Association Of Mathematics EducatorsPalielināt
  • Formāts: 404 pages
  • Izdošanas datums: 21-May-2019
  • Izdevniecība: World Scientific Publishing Co Pte Ltd
  • Valoda: eng
  • ISBN-13: 9789811205392
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"The new emphasis in the Singapore mathematics education is on Big Ideas (Charles, 2005). This book contains more than 15 chapters from various experts on mathematics education that describe various aspects of Big Ideas from theory to practice. It contains chapters that discuss the historical development of mathematical concepts, specific mathematical concepts in relation to Big Ideas in mathematics, the spirit of Big Ideas in mathematics and its enactment in the mathematics classroom. This book presents a wide spectrum of issues related to Big Ideas in mathematics education. On the one end, we have topics that are mathematics content related, those that discuss the underlying principles of Big Ideas, and others that deepen the readers' knowledge in this area, and on the other hand there are practice oriented papers in preparing practitioners to have a clearer picture of classroom enactment related to an emphasis on Big Ideas."

Chapter 1 Big Ideas in Mathematics
1(10)
Joseph B. W. Yeo
Toh Tin Lam
SECTION ONE GENERAL PERSPECTIVES OF BIG IDEAS IN MATHEMATICS AND MATHEMATICS EDUCATION
Chapter 2 Some Great Breakthrough Ideas in Mathematics
11(18)
Koh Khee Meng
Tay Eng Guan
Chapter 3 On Characteristics of Statistical Thinking
29(18)
Zhu Ying
Chapter 4 Situated Mathematics: Positioning Mathematics Ideas as Human Ideas
47(24)
David Wagner
Chapter 5 Big Ideas of Primary Mathematics: It's All about Connections
71(24)
Chris Hurst
Chapter 6 Teaching towards Big Ideas: Challenges and Opportunities
95(18)
Choy Ban Heng
SECTION TWO CONTENT KNOWLEDGE AND TEACHING IDEAS OF SELECTED BIG IDEAS IN MATHEMATICS
Chapter 7 Big Ideas about Equivalence in the Primary Mathematics Classroom
113(16)
Yeo Kai Kow Joseph
Chapter 8 Teaching Mathematics: A Modest Call to Consider Big Ideas
129(10)
Tay Eng Guan
Chapter 9 Invariance as a Big Idea
139(12)
Toh Pee Choon
Chapter 10 Empirical Motivation for Teaching Functions and Modelling
151(16)
Yap Von Bing
Chapter 11 Mathematical Modeling in Problem Solving: A Big Idea across the Curriculum Padmanabhan SESHAIYER
167(20)
Jennifer Suh
Chapter 12 Unpacking the Big Idea of Proportionality: Connecting Ratio, Rate, Proportion and Variation
187(32)
Joseph B. W. Yeo
Chapter 13 Teaching towards Big Ideas: Deepening Students' Understanding of Mathematics
219(20)
Chua Boon Liang
Chapter 14 Teaching Pre-University Calculus with Big Ideas in Mind
239(20)
Toh Tin Lam
SECTION THREE PEDAGOGICAL PRACTICES IN TEACHING TOWARDS BIG IDEAS IN MATHEMATICS
Chapter 15 Making Big Ideas Explicit Using the Teaching through Problem Solving Approach
259(16)
Pearlyn Lim Li Gek
Chapter 16 Mathematical Vocabulary: A Bridge that Connects Ideas
275(20)
Berinderjeet Kaur
Wong Lai Fong
Toh Wei Yeng Karen
Tong Cherng Luen
Chapter 17 Engaging Students in Big Ideas and Mathematical Processes in the Primary Mathematics Classrooms
295(22)
Cheng Lu Pien
Vincent Koh Hoon Hwee
Chapter 18 Enhancing Students' Reasoning in Mathematics: An Approach using Typical Problems
317(16)
Jaguthsing Dindyal
Chapter 19 Big Ideas from Small Ideas
333(16)
Leong Yew Hoong
Chapter 20 Enhancing Mathematics Teaching with Big Ideas
349(20)
Cynthia Seto
Choon Ming Kwong
Pang Yen Ping
Chapter 21 Making Vertical Connections when Teaching Towards Big Ideas
369(16)
Low Leng
Wong Lai Fong
Contributing Authors 385
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