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About the Author
Dr. Yeap Ban Har teaches mathematics education courses at the National Institute of Education, a teacher education institute in Nanyang Technological University in Singapore. His research interests include problem solving and problem posing, early numeracy, and teacher professional development. He holds a Master of Education, a Master of Arts in Southeast Asian Studies, and a doctorate in mathematics education and has served on the editorial board of two mathematics education journals -- Mathematical Thinking and Learning and The Mathematics Educator. Dr Yeap has written several mathematics textbooks based on the Singapore Mathematics approach, as well as articles and chapters in various mathematics education publications including articles on bar modeling in journals such as Mathematics Teaching in Middle Schools and Mathematics Teaching. His recent publications include a chapter in an International Commission on Mathematical Instruction (ICIM) study publication and Pedagogy of Engaged Mathematics Learning.
Bar Modeling: A Problem-solving Tool is a professional development book written for mathematics educators who are interested to learn more about bar modeling as a problem-solving tool in mathematics. Backed by research studies, this book will help educators see how various types of bar models can be used to solve mathematical word problems and learn the techniques of deriving, drawing and manipulating bar models. With extensive examples, guided questions, and practice problems, this book provides insights into the pedagogy of the model method.
Above is an extract from Bar Modeling: A Problem-solving Tool (reproduced with the permission of the publishers).
Bar Modeling: A Problem-solving Tool
Contents
Chapter 1: The Model Method
The Model Method: An Introduction
The Model Method and Arithmetic Word Problems
The Model Method and Algebraic Word Problems
Learning From Research
Research Study: The Model Method in Singapore Schools
Chapter 2: Part-Whole Model
Part-Whole Model: An Introduction
Part-Whole Models Involving Discrete Quantities
Learning In The Field
Part-Whole Models Involving Continuous Quantities
Challenging Part-Whole Situations
Learning From Theory
Solutions
Chapter 3: Comparison Models
Comparison Models: An Introduction
Additive Comparison Model
Multiplicative Comparison Model
Additive and Multiplicative Comparison Models
Learning In The Field
Task List
Comparison Models Involving Fractions, Ratio, and Percent
Learning From Theory
Learning From Research
Solutions
Chapter 4: Before-After Model
Basic Before-After Models
Before-After Models Involving Fractions
Before-After Models Involving Percent
Before-After Models Involving More Than One Quantity
Learning From Theory
Learning From Research
Learning In The Field
Solutions
Chapter 5: Advanced Skills In Model Method
Shifting the Bar
Cutting the Bar
Cutting and Shifting the Bar
Putting It All Together
Learning From Research
Learning From Theory
Learning In The Field
Solutions
References
Word Problem Index
Keyword Index
Samples Chapter 1 The Model Method: The Model Method and Algebraic Word Problems
Chapter 3 Comparison Models: An Introduction
Chapter 3 Comparison Models: An Introduction
Chapter 4 Before-After Model: Learning from Theory
All copyrights reserved by Marshall Cavendish International (S) Pte Ltd.
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