International Perspectives on Teaching and Learning Mathematics with Virtual Manipulatives

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