SECTION 1: Frameworks and Definitions.- 1. Revisiting the Definition of a Virtual Manipulative. Patricia S. Moyer-Packenham & Johnna J. Bolyard (United States).- 2. Artifact-Centric Activity Theory - A Framework for the Analysis of the Design and Use of Virtual Manipulatives. Silke Ladel & Ulrich Kortenkamp (Germany).- 3. The Modification of Attributes, Affordances, Abilities, and Distance for Learning Framework and its Applications to Interactions with Mathematics Virtual Manipulatives. Stephen I. Tucker (United States).- 4. Physical and Virtual Manipulatives: What is "Concrete"? Julie Sarama and Douglas H. Clements (United States).- 5. Manipulatives, Diagrams, and Mathematics: A Framework for Future Research on Virtual Manipulatives. Helena P. Osana and Nathalie Duponsel (Canada).- SECTION 2: Research and Design.- 6. Fingu - A Game to Support Children's Development of Arithmetic Competence: Theory, Design and Empirical Research. Ingemar Holgersson, Wolmet Barendregt, JonasEmanuelsson, Torgny Ottosson, Elisabeth Rietz & Berner Lindstrom (Sweden).- 7. Developing Virtual Mathematics Manipulatives: The SAMAP Project. Erol Karakirik (Turkey).- 8. Enhancing Mathematical Skills through Interventions with Virtual Manipulatives. Annemie Desoete, Magda Praet, Claire Van de Velde, Brigitte De Craene, & Edwin Hantson (Belgium).- 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 & Ming-Jang Chen (Taiwan).- 10. The Role of Virtual Manipulatives in High School Students' Understanding of Geometric Transformations. Hilal Gulkilik (Turkey).- SECTION 3: Tools for Research.- 11. Geometry and iPads in Primary Schools: Does Their Usefulness Extend beyond Tracing an Oblong? Kevin Larkin (Australia).- 12. Selection of Apps for Teaching Difficult Mathematics Topics: An Instrument to Evaluate Touch-Screen Tablet and Smart Phone Mathematics Apps. K. Aryee, George Gadanidis, Immaculate K. Namukasa, V. Sarina, & S. Scucuglia (Canada & Brazil).- 13. Ambitious Teaching: Designing Practice-Based Assignments for Integrating Virtual Manipulatives into Mathematics Lessons. Jennifer M. Suh (United States).- 14. Developing an Interactive Instrument for Measuring Teachers' Professionally Situated Knowledge in Geometry and Measurement. Agida G. Manizade & Dragana Martinovic (United States & Canada).
