| Acknowledgements |
|
| Series Preface: Gabriele Kaiser & Bharath Sriraman |
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| I. Philosophy & Background |
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| Preface to Section I: Ubiratan D’Ambrosio |
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| Introduction:Jeremy Roschelle & Stephen Hegedus |
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| The Mathematics of Change and Variation from a Millennial Perspective: New Content, New Context (originally appeared in C. Hoyles, C. Morgan, & G. Woodhouse (Eds.), Rethinking the mathematics curriculum (pp. 155-170). London: Springer-Verlag.): James Kaput & Jeremy Roschelle |
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| From Static to Dynamic Mathematics: Historical and Representational Perspectives (originally appeared in Educational Studies in Mathematics, 68(2), 99-111): Luis Moreno-Armella & Stephen Hegedus: Intersecting Representation and Communication Infrastructures (originally appeared in ZDM: The International Journal on Mathematics Education: Transforming Mathematics Education Through Dynamic Mathematics Technologies, 41(4), 399-412): Stephen Hegedus & Luis Moreno-Armella |
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| II. Aspects of Design |
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| Reflections on Significant Developments in Designing SimCalc Software: James Burke, Ryan Robidoux, & Stephen Hegedus |
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| Designing for Generative Activities: Expanding Spaces for Learning and Teaching: Nancy Ares |
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| SimCalc and the Networked Classroom: Corey Brady, Tobin White, Sarah Davis, & Stephen Hegedus |
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| III. Impacts from Large-Scale Research |
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| Preface to Section III: Jinfa Cai |
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| SimCalc at Scale: Three Studies Examine the Integration of Technology, Curriculum, and Professional Development for Advancing Middle School Mathematics:Jeremy Roschelle & Nicole Shechtman |
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| Learning and Participation in High School Classrooms: Sara Dalton & Stephen Hegedus |
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| Development of Student and Teacher Assessments in Scaling Up SimCalc Project: Nicole Shechtman, Geneva Haertel, Jeremy Roschelle, Jennifer Knudsen, & Corrine Singleton |
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| Sustainable use of Dynamic Representational Environments: Toward a District-Wide Adoption of SimCalc-Based Materials: Phil Vahey, George J. Roy, & Vivan Fueyo |
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| Impact of Classroom Connectivity on Learning and Participation: Stephen Hegedus, Luis Moreno-Armella, Sara Dalton, Arden Brookstein, & John Tapper |
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| IV. Impacts from Small-Scale Research |
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| Viewing SimCalc Classrooms Through the Lens of Mathematical Discourse: Jessica Pierson Bishop |
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| Scaling Up Innovative Mathematics in the Middle Grades: Case Studies of “Good Enough” Enactments: Susan Empson, Steven Greenstein, Luz Maldonado, & Jeremy Roschelle |
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| Changing from the Inside out: SimCalc Teacher Changes in Beliefs and Practices: John Tapper |
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| Shaping Dialogue Through Questioning: An Examination of the Interactions Among Teachers, Representations, and Mathematics: Chandra Hawley Orrill |
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| “They Need to be Solid in Standard Skills First”: How Standards Can Become the Upper Bound: Margaret Dickey-Kurdziolek & Deborah Tatar |
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| V. International Contributions |
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| Developing and Enhancing Elementary School Students’ Higher Order Mathematical Thinking With SimCalc: Demetra Pitta-Pantazi, Paraskevi Sophocleous, & Constantinos Christou |
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| Adapting SimCalc to Different School Mathematics Cultures: A Case Study from Brazil: Rosana Nogueira de Lima, Lulu Healy, & Tania Campos |
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| Mathematical Modeling with SimCalc: Enhancing Student Complex Problem Solving Skills Using a Modeling Approach: Nicholas G. Mousoulides |
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| Approaching Calculus with SimCalc: Linking Derivative and Antiderivative: Patricia Salinas |
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| VI. Extensions, Commentaries, & Future Visions: You Can Lead a Horse to Water…: Issues in Deepening Learning Through Deepening Teaching: John Mason |
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| Multiple Function Max/Min Problems for First Grade Children in the 21st Century”: Richard Lesh, Lyn English, Serife Sevis, & Chanda Riggs |
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| The Kaputian Program for the Mathematics of Change and Variation and Its Relation to DNR-Based Instruction in Mathematics: Guershon Harel |
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| The Evolution of Technology and the Mathematics of Change and Variation: David Tall |
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| Conversation About SimCalc, Its Evolution and Lessons Along the Way: Eric Hamilton & Nora Sabelli |
|
| Acknowledgements |
|
| Series Preface: Gabriele Kaiser & Bharath Sriraman |
|
| I. Philosophy & Background |
|
| Preface to Section I: Ubiratan D’Ambrosio |
|
| Introduction:Jeremy Roschelle & Stephen Hegedus |
|
| The Mathematics of Change and Variation from a Millennial Perspective: New Content, New Context (originally appeared in C. Hoyles, C. Morgan, & G. Woodhouse (Eds.), Rethinking the mathematics curriculum (pp. 155-170). London: Springer-Verlag.): James Kaput & Jeremy Roschelle |
|
