The SimCalc Vision and Contributions

1. Introduction: Major Themes, Technologies, and Timeline
Jeremy Roschelle, Stephen Hegedus

2. The Mathematics of Change and Variation from a Millennial Perspective: New Content, New Context
James J. Kaput, Jeremy Roschelle

3. From Static to Dynamic Mathematics: Historical and Representational Perspectives
Luis Moreno-Armella, Stephen Hegedus

4. Intersecting Representation and Communication Infrastructures
Stephen Hegedus, Luis Moreno-Armella

5. Reflections on Significant Developments in Designing SimCalc Software
James Burke, Stephen Hegedus, Ryan Robidoux

6. Designing for Generative Activities: Expanding Spaces for Learning and Teaching
Nancy Ares

7. SimCalc and the Networked Classroom
Corey Brady, Tobin White, Sarah Davis, Stephen Hegedus

8. SimCalc at Scale: Three Studies Examine the Integration of Technology, Curriculum, and Professional Development for Advancing Middle School Mathematics
Jeremy Roschelle, Nicole Shechtman

9. Learning and Participation in High School Classrooms
Sara Dalton, Stephen Hegedus

10. Development of Student and Teacher Assessments in the Scaling Up SimCalc Project
Nicole Shechtman, Geneva Haertel, Jeremy Roschelle, Jennifer Knudsen, Corinne Singleton

11. Sustainable Use of Dynamic Representational Environments: Toward a District-Wide Adoption of SimCalc-Based Materials
Phil Vahey, George J. Roy, Vivian Fueyo

12. Impact of Classroom Connectivity on Learning and Participation
Stephen Hegedus, Luis Moreno-Armella, Sara Dalton, Arden Brookstein, John Tapper

13. Mathematical Discourse as a Process that Mediates Learning in SimCalc Classrooms
Jessica Pierson Bishop

14. Scaling Up Innovative Mathematics in the Middle Grades: Case Studies of “Good Enough” Enactments
Susan B. Empson, Steven Greenstein, Luz Maldonado, Jeremy Roschelle

15. Changing from the Inside Out: SimCalc Teacher Changes in Beliefs and Practices
John Tapper

16. Connection Making: Capitalizing on the Affordances of Dynamic Representations Through Mathematically Relevant Questioning
Chandra Hawley Orrill

17. “They Need to Be Solid in Standard Skills First”: How Standards Can Become the Upper Bound
Margaret Dickey-Kurdziolek, Deborah Tatar

18. Developing and Enhancing Elementary School Students’ Higher Order Mathematical Thinking with SimCalc
Demetra Pitta-Pantazi, Paraskevi Sophocleous, Constantinos Christou

19. Adapting SimCalc to Different School Mathematics Cultures: A Case Study from Brazil
Rosana Nogueira Lima, Lulu Healy, Tânia M. M. Campos

20. Mathematical Modeling with SimCalc: Enhancing Students’ Complex Problem Solving Skills Using a Modeling Approach
Nicholas G. Mousoulides

21. Approaching Calculus with SimCalc: Linking Derivative and Antiderivative
Patricia Salinas

22. You Can Lead a Horse to Water…: Issues in Deepening Learning Through Deepening Teaching
John Mason

23. Modeling as a Means for Making Powerful Ideas Accessible to Children at an Early Age
Richard Lesh, Lyn English, Serife Sevis, Chanda Riggs

24. The Kaputian Program and Its Relation to DNR-Based Instruction: A Common Commitment to the Development of Mathematics with Meaning
Guershon Harel

25. The Evolution of Technology and the Mathematics of Change and Variation: Using Human Perceptions and Emotions to Make Sense of Powerful Ideas
David Tall

26. Conversation About SimCalc, Its Evolution and Lessons Along the Way
Eric Hamilton, Nora Sabelli

Keywords: Education, Mathematics Education, Educational Technology, Learning & Instruction, Mathematical Software