International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives (Mathematics Education in the Digital Era, 7)

This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms. -- Back cover Front Matter....Pages i-viii Front Matter....Pages 1-1 Revisiting the Definition of a Virtual Manipulative....Pages 3-23 Artifact-Centric Activity Theory—A Framework for the Analysis of the Design and Use of Virtual Manipulatives....Pages 25-40 The Modification of Attributes, Affordances, Abilities, and Distance for Learning Framework and Its Applications to Interactions with Mathematics Virtual Manipulatives....Pages 41-69 Physical and Virtual Manipulatives: What Is “Concrete”?....Pages 71-93 Manipulatives, Diagrams, and Mathematics: A Framework for Future Research on Virtual Manipulatives....Pages 95-120 Front Matter....Pages 121-121 Fingu—A Game to Support Children’s Development of Arithmetic Competence: Theory, Design and Empirical Research....Pages 123-145 Developing Virtual Mathematics Manipulatives: The SAMAP Project....Pages 147-170 Enhancing Mathematical Skills Through Interventions with Virtual Manipulatives....Pages 171-187 Influence of Prior Knowledge and Teaching Approaches Integrating Non-routine Worked Examples and Virtual Manipulatives on the Performance and Attitude of Fifth-Graders in Learning Equivalent Fractions....Pages 189-212 The Role of Virtual Manipulatives in High School Students’ Understanding of Geometric Transformations....Pages 213-243 Front Matter....Pages 245-245 Geometry and iPads in Primary Schools: Does Their Usefulness Extend Beyond Tracing an Oblong?....Pages 247-274 Selection of Apps for Teaching Difficult Mathematics Topics: An Instrument to Evaluate Touch-Screen Tablet and Smartphone Mathematics Apps....Pages 275-300 Ambitious Teaching: Designing Practice-Based Assignments for Integrating Virtual Manipulatives into Mathematics Lessons....Pages 301-321 Developing an Interactive Instrument for Evaluating Teachers’ Professionally Situated Knowledge in Geometry and Measurement....Pages 323-342 Back Matter....Pages 343-345 "This book explores terminology, frameworks, and research being conducted worldwide on virtual manipulatives. It brings together international authors who provide their perspectives on virtual manipulatives in research and teaching. By defining terminology, explaining conceptual and theoretical frameworks, and reporting research, the authors provide a comprehensive foundation on the study and use of virtual manipulatives for mathematics teaching and learning. This foundation provides a common way for researchers to communicate about virtual manipulatives and build on the major works that have been conducted on this topic. By discussing these big ideas, the book advances knowledge for future research on virtual manipulatives as these dynamic tools move from computer platforms to hand-held, touch-screen, and augmented platforms" -- OhioLink