The SimCalc Vision and Contributions

Democratizing Access to Important Mathematics

Editors:

ISBN: 978-94-007-5695-3 (Print) 978-94-007-5696-0 (Online)

Table of contents (26 chapters)

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  1. Front Matter

    Pages I-XI

  2. Philosophy & Background

    1. Front Matter

      Pages 1-3

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      Book Chapter

      Pages 5-11

      Introduction: Major Themes, Technologies, and Timeline

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      Book Chapter

      Pages 13-26

      The Mathematics of Change and Variation from a Millennial Perspective: New Content, New Context

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      Book Chapter

      Pages 27-45

      From Static to Dynamic Mathematics: Historical and Representational Perspectives

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      Book Chapter

      Pages 47-62

      Intersecting Representation and Communication Infrastructures

  3. Aspects of Design

    1. Front Matter

      Pages 63-63

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      Pages 65-83

      Reflections on Significant Developments in Designing SimCalc Software

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      Book Chapter

      Pages 85-97

      Designing for Generative Activities: Expanding Spaces for Learning and Teaching

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      Book Chapter

      Pages 99-121

      SimCalc and the Networked Classroom

  4. Impacts from Large-Scale Research

    1. Front Matter

      Pages 123-124

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      Book Chapter

      Pages 125-143

      SimCalc at Scale: Three Studies Examine the Integration of Technology, Curriculum, and Professional Development for Advancing Middle School Mathematics

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      Book Chapter

      Pages 145-166

      Learning and Participation in High School Classrooms

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      Book Chapter

      Pages 167-181

      Development of Student and Teacher Assessments in the Scaling Up SimCalc Project

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      Book Chapter

      Pages 183-202

      Sustainable Use of Dynamic Representational Environments: Toward a District-Wide Adoption of SimCalc-Based Materials

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      Book Chapter

      Pages 203-229

      Impact of Classroom Connectivity on Learning and Participation

  5. Impacts from Small-Scale Research

    1. Front Matter

      Pages 231-231

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      Book Chapter

      Pages 233-249

      Mathematical Discourse as a Process that Mediates Learning in SimCalc Classrooms

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      Book Chapter

      Pages 251-269

      Scaling Up Innovative Mathematics in the Middle Grades: Case Studies of “Good Enough” Enactments

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      Book Chapter

      Pages 271-284

      Changing from the Inside Out: SimCalc Teacher Changes in Beliefs and Practices

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      Book Chapter

      Pages 285-298

      Connection Making: Capitalizing on the Affordances of Dynamic Representations Through Mathematically Relevant Questioning

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      Book Chapter

      Pages 299-316

      “They Need to Be Solid in Standard Skills First”: How Standards Can Become the Upper Bound

  6. International Contributions

    1. Front Matter

      Pages 317-317

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      Book Chapter

      Pages 319-340

      Developing and Enhancing Elementary School Students’ Higher Order Mathematical Thinking with SimCalc

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      Book Chapter

      Pages 341-362

      Adapting SimCalc to Different School Mathematics Cultures: A Case Study from Brazil

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      Book Chapter

      Pages 363-381

      Mathematical Modeling with SimCalc: Enhancing Students’ Complex Problem Solving Skills Using a Modeling Approach

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