Research studies on learning and teaching of mathematics : dedicated to Edward A. Silver / Jinfa Cai, Gabriel J. Stylianides, Patricia Ann Kenney, editors.

This book is about promising research advancements that sparked directly or indirectly from intellectual contributions by distinguished internationally recognized mathematics educator and researcher, Edward A. Silver. The features of this book include: A focus on the research areas that have benefit...

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Bibliographic Details
Other Authors: Silver, Edward A., 1948- (honouree.), Cai, Jinfa (Editor), Stylianides, Gabriel J. (Editor), Kenney, Patricia Ann (Editor)
Format: eBook
Language:English
Published: Cham : Springer, 2023.
Series:Research in mathematics education (Springer (Firm))
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Online Access:Click for online access
Table of Contents:
  • Intro
  • Preface
  • Edward A. Silver: A Celebration of His Professional Journey
  • Keeping Mathematics at the Forefront
  • Focusing on Students' Mathematical Thinking
  • Supporting Professional Learning in Mathematics
  • The Impact Continues
  • References
  • Edward A. Silver: Brief Biographical Sketch
  • Contents
  • About the Contributors
  • Mathematical Problem-Posing Research: Thirty Years of Advances Building on the Publication of "On Mathematical Problem Posing"
  • Conceptualization of Problem Posing
  • Silver's Six Themes in "On Mathematical Problem Posing"
  • Problem Posing as a Feature of Creativity or Exceptional Mathematical Ability
  • Problem Posing as a Type of Inquiry-Oriented Instruction
  • Problem Posing as a Prominent Feature of Mathematical Activity
  • Problem Posing as a Means to Improving Students' Problem Solving
  • Problem Posing as a Window Into Students' Mathematical Understanding
  • Problem Posing as a Means to Improve Students' Disposition Toward Mathematics
  • Advances in Research on Problem Posing
  • Advances in Research on Problem Posing as a Cognitive Activity
  • Mathematical Understanding and the Capacity to Pose Problems
  • Relationships Between Problem Posing and Problem Solving
  • Problem-Posing Task Characteristics: Problem Situations and Prompts
  • Advances in Research on Problem Posing as a Learning Goal
  • Problem Posing as a Measure of Learning Outcomes
  • Training Teachers to Pose Better Problems
  • Training Students to Be Better Problem Posers
  • Advances in Research on Problem Posing as an Instructional Approach
  • What Teaching Mathematics Through Problem Posing Looks Like
  • How Teachers Learn to Teach Mathematics Through Problem Posing
  • Conclusions and an Eye to the Future of Research on Problem Posing
  • Affective and Cognitive Processes of Problem Posing
  • Teaching Mathematics Through Problem Posing
  • Teachers' Professional Learning to Teach Mathematics Through Problem Posing
  • References
  • Professional Learning Tasks Through Job-Embedded Teacher Professional Development
  • Learning Complex Performance as a Social Practice
  • The Role of PLTs as Levers to Teachers' Sensemaking
  • How May PLTs Act as Spaces of Inquiry While Teaching?
  • Case Example
  • New Learning and Planning: Engaging with Complexities Before Teaching
  • Joint Enactment: Engaging Complexities During Teaching
  • Debriefing: Engaging the Complexities After Teaching
  • Discussion
  • Limitations and Future Research
  • References
  • To What Extent Are Open Problems Open? Interplay Between Problem Context and Structure
  • Introduction
  • Different Classes of Open Problems
  • Openness and Creativity
  • Open Problems in Real-Life Contexts
  • Sense Making Linked to Equality and Inequality Problems: Research Experiment
  • Research Hypotheses
  • The Tasks
  • Participants and Experimental Procedure