Big Ideas in Mathematics

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.
Contents: Big Ideas in Mathematics (Joseph B W YEO & TOH Tin Lam)General Perspectives of Big Ideas in Mathematics and Mathematics Education:Some Great Breakthrough Ideas in Mathematics (KOH Khee Meng & TAY Eng Guan)On Characteristics of Statistical Thinking (ZHU Ying)Situated Mathematics: Positioning Mathematics Ideas as Human Ideas (David WAGNER)Big Ideas of Primary Mathematics: It's All about Connections (Chris HURST)Teaching towards Big Ideas: Challenges and Opportunities (CHOY Ban Heng)Content Knowledge and Teaching Ideas of Selected Big Ideas in Mathematics:Big Ideas about Equivalence in the Primary Mathematics Classroom (YEO Kai Kow Joseph)Teaching Mathematics: A Modest Call to Consider Big Ideas (TAY Eng Guan)Invariance as a Big Idea (TOH Pee Choon)Empirical Motivation for Teaching Functions and Modelling (YAP Von Bing)Mathematical Modeling in Problem Solving: A Big Idea across the Curriculum (Padmanabhan SESHAIYER & Jennifer SUH)Unpacking the Big Idea of Proportionality: Connecting Ratio, Rate, Proportion and Variation (Joseph B W YEO)Teaching towards Big Ideas: Deepening Students' Understanding of Mathematics (CHUA Boon Liang)Teaching Pre-University Calculus with Big Ideas in Mind (TOH Tin Lam)Pedagogical Practices in Teaching Towards Big Ideas in Mathematics:Making Big Ideas Explicit Using the Teaching through Problem Solving Approach (Pearlyn LIM Li Gek)Mathematical Vocabulary: A Bridge that Connects Ideas (Berinderjeet KAUR, WONG Lai Fong, TOH Wei Yeng Karen & TONG Cherng Luen)Engaging Students in Big Ideas and Mathematical Processes in the Primary Mathematics Classrooms (CHENG Lu Pien & Vincent KOH Hoon Hwee)Enhancing Students' Reasoning in Mathematics: An Approach using Typical Problems (Jaguthsing DINDYAL)Big Ideas from Small Ideas (LEONG Yew Hoong)Enhancing Mathematics Teaching with Big Ideas (Cynthia SETO, CHOON Ming Kwong & PANG Yen Ping)Making Vertical Connections when Teaching Towards Big Ideas (LOW Leng & WONG Lai Fong)Contributing Authors
Readership: Graduate students, researchers, practitioners and teachers in mathematics.Big Ideas;Mathematics Instruction;Connections0Key Features:New emphasis on Big IdeasThe book is both theory based and practice orientedTo the best of the editors' knowledge, so far no competing titles for this book