Transforming Mathematics Instruction: Multiple Approaches and Practices

✍ Scribed by Yeping Li, Edward A. Silver, Shiqi Li (eds.)

• Publisher: Springer International Publishing
• Year: 2014
• Tongue: English
• Leaves: 581
• Series: Advances in Mathematics Education
• Edition: 1
• Category: Library

✦ Synopsis

This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers’ expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction.

Classroom instruction is commonly seen as one of the key factors contributing to students’ learning of mathematics, but much remains to be understood about teachers’ instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems.

Transforming Mathematics Instruction is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including:

- Identifying what is important in mathematics for teaching and learning emphasized in different approaches;

- Exploring how students’ learning is considered and facilitated through different approaches and practices;

- Understanding the nature of various approaches that are valued in different systems and cultural contexts;

- Probing culturally valued approaches in identifying and evaluating effective instructional practices.

The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teacher educators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems.

It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.

✦ Table of Contents

Front Matter....Pages i-xvi
Transforming Mathematics Instruction: What Do We Know and What Can We Learn from Multiple Approaches and Practices?....Pages 1-12
Front Matter....Pages 13-13
Preface to Part I....Pages 15-19
Modelling in Mathematics Classroom Instruction: An Innovative Approach for Transforming Mathematics Education....Pages 21-36
Guided Reinvention: What Is It and How Do Teachers Learn This Teaching Approach?....Pages 37-57
Challenging Mathematics with Multiple Solution Tasks and Mathematical Investigations in Geometry....Pages 59-80
Transforming Professional Practice in Numeracy Teaching....Pages 81-102
Exploratory Activity in the Mathematics Classroom....Pages 103-125
The Affordances of Using Visibly Random Groups in a Mathematics Classroom....Pages 127-144
Front Matter....Pages 145-145
Preface to Part II....Pages 147-151
Transforming Mathematics Education: The Role of Textbooks and Teachers....Pages 153-172
Opportunities to Develop Algebraic Thinking in Elementary Grades Throughout the School Year in the Context of Mathematics Curriculum Changes....Pages 173-197
Transformation of Japanese Elementary Mathematics Textbooks: 1958–2012....Pages 199-215
Changes in Instructional Tasks and Their Influence on Classroom Discourse in Reformed Mathematics Classrooms of Chinese Primary Schools....Pages 217-230
Improving Mathematics Classroom Instruction through Exemplary Lesson Development: A Chinese Approach....Pages 231-252
Front Matter....Pages 253-253
Preface to Part III....Pages 255-257
Facilitating Video-Based Professional Development: Planning and Orchestrating Productive Discussions....Pages 259-281
Professional Development for Secondary School Mathematics Teachers Using Student Work: Some Challenges and Promising Possibilities....Pages 283-309
Cases as a Vehicle for Developing Knowledge Needed for Teaching....Pages 311-333
The Process of Instructional Change: Insights from the Problem-Solving Cycle....Pages 335-354
How Classroom Instruction Was Improved in a Teaching Research Group: A Case Study from Shanghai....Pages 355-381
Front Matter....Pages 253-253
Pursuing Mathematics Classroom Instruction Excellence Through Teaching Contests....Pages 383-406
Front Matter....Pages 407-407
Preface to Part IV....Pages 409-412
DNR-Based Instruction in Mathematics: Determinants of a DNR Expert’s Teaching....Pages 413-437
Unifying Complexity in Mathematics Teaching-Learning Development: A Theory-Practice Dialectic....Pages 439-457
The Interplay of Factors Involved in Shaping Students’ Opportunities to Learn Mathematics....Pages 459-474
Methodological Considerations in the Analysis of Classroom Interaction in Community College Trigonometry....Pages 475-500
Assessing Instructional Quality in Mathematics Classrooms Through Collections of Students’ Work....Pages 501-523
Example-Generation as Indicator and Catalyst of Mathematical and Pedagogical Understandings....Pages 525-546
Front Matter....Pages 547-547
Transforming Research to Transform Mathematics Instruction....Pages 549-557
Back Matter....Pages 559-586

✦ Subjects

Mathematics Education; Teaching and Teacher Education; Learning & Instruction; International and Comparative Education