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The SimCalc Vision and Contributions

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Table of Contents

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


From the book reviews: "It is rare that such a broad spectrum of research and theory-based discussion about one piece of software or curriculum is gathered in one volume. ... For those who are interested in theory and research involving SimCalc, it provides a wealth of background on which to build the next generation of research. Those with more general interests in technology-intensive mathematics education would profit from seeking general messages about technology-centered learning from the particular case of SimCalc." (M. Kathleen Heid, Journal for Research in Mathematics Education, Vol. 46 (1), January, 2015)

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