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Table of Contents
PART I. FRAMEWORKS AND DEFINITIONS
1. Revisiting the Definition of a Virtual Manipulative / Patricia S. Moyer-Packenham and Johnna J. Bolyard
2. Artifact-Centric Activity Theory
A Framework for the Analysis of the Design and Use of Virtual Manipulatives / Silke Ladel and Ulrich Kortenkamp
3. The Modification of Attributes, Affordances, Abilities, and Distance for Learning Framework and Its Applications to Interactions with Mathematics Virtual Manipulatives / Stephen I. Tucker
4. Physical and Virtual Manipulatives: What Is "Concrete"? / Julie Sarama and Douglas H. Clements
5. Manipulatives, Diagrams, and Mathematics: A Framework for Future Research on Virtual Manipulatives / Helena P. Osana and Nathalie Duponsel.
PART II. RESEARCH AND DESIGN
6. Fingu
A Game to Support Children's Development of Arithmetic Competence: Theory, Design and Empirical Research / Ingemar Holgersson, Wolmet Barendregt, Jonas Emanuelsson, Torgny Ottosson, Elisabeth Rietz and Berner Lindström
7. Developing Virtual Mathematics Manipulatives: The SAMAP Project / Erol Karakırık
8. Enhancing Mathematical Skills Through Interventions with Virtual Manipulatives / Annemie Desoete, Magda Praet, Claire Van de Velde, Brigitte De Craene and Edwin Hantson
9. 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 / Chun-Yi Lee and Ming-Jang Chen
10. The Role of Virtual Manipulatives in High School Students' Understanding of Geometric Transformations / Hilal Gulkilik.
PART III. TOOLS FOR RESEARCH
11. Geometry and iPads in Primary Schools: Does Their Usefulness Extend Beyond Tracing an Oblong? / Kevin Larkin
12. Selection of Apps for Teaching Difficult Mathematics Topics: An Instrument to Evaluate Touch-Screen Tablet and Smartphone Mathematics Apps / I.K. Namukasa, G. Gadanidis, V. Sarina, S. Scucuglia and K. Aryee
13. Ambitious Teaching: Designing Practice-Based Assignments for Integrating Virtual Manipulatives into Mathematics Lessons / Jennifer M. Suh
14. Developing an Interactive Instrument for Evaluating Teachers' Professionally Situated Knowledge in Geometry and Measurement / Agida G. Manizade and Dragana Martinovic.
1. Revisiting the Definition of a Virtual Manipulative / Patricia S. Moyer-Packenham and Johnna J. Bolyard
2. Artifact-Centric Activity Theory
A Framework for the Analysis of the Design and Use of Virtual Manipulatives / Silke Ladel and Ulrich Kortenkamp
3. The Modification of Attributes, Affordances, Abilities, and Distance for Learning Framework and Its Applications to Interactions with Mathematics Virtual Manipulatives / Stephen I. Tucker
4. Physical and Virtual Manipulatives: What Is "Concrete"? / Julie Sarama and Douglas H. Clements
5. Manipulatives, Diagrams, and Mathematics: A Framework for Future Research on Virtual Manipulatives / Helena P. Osana and Nathalie Duponsel.
PART II. RESEARCH AND DESIGN
6. Fingu
A Game to Support Children's Development of Arithmetic Competence: Theory, Design and Empirical Research / Ingemar Holgersson, Wolmet Barendregt, Jonas Emanuelsson, Torgny Ottosson, Elisabeth Rietz and Berner Lindström
7. Developing Virtual Mathematics Manipulatives: The SAMAP Project / Erol Karakırık
8. Enhancing Mathematical Skills Through Interventions with Virtual Manipulatives / Annemie Desoete, Magda Praet, Claire Van de Velde, Brigitte De Craene and Edwin Hantson
9. 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 / Chun-Yi Lee and Ming-Jang Chen
10. The Role of Virtual Manipulatives in High School Students' Understanding of Geometric Transformations / Hilal Gulkilik.
PART III. TOOLS FOR RESEARCH
11. Geometry and iPads in Primary Schools: Does Their Usefulness Extend Beyond Tracing an Oblong? / Kevin Larkin
12. Selection of Apps for Teaching Difficult Mathematics Topics: An Instrument to Evaluate Touch-Screen Tablet and Smartphone Mathematics Apps / I.K. Namukasa, G. Gadanidis, V. Sarina, S. Scucuglia and K. Aryee
13. Ambitious Teaching: Designing Practice-Based Assignments for Integrating Virtual Manipulatives into Mathematics Lessons / Jennifer M. Suh
14. Developing an Interactive Instrument for Evaluating Teachers' Professionally Situated Knowledge in Geometry and Measurement / Agida G. Manizade and Dragana Martinovic.