The SimCalc Vision and Contributions: Democratizing Access to Important Mathematics

 (Advances in Mathematics Education, 4)

Stephen J. Hegedus e Jeremy Roschelle

 Springer | 2013 | 471 páginas | rar - pdf | 9 Mb

link (password : matav)

This volume provides essential guidance for transforming mathematics learning in schools through the use of innovative technology, pedagogy, and curriculum. It presents clear, rigorous evidence of the impact technology can have in improving students learning of important yet complex mathematical concepts - and goes beyond a focus on technology alone to clearly explain how teacher professional development, pedagogy, curriculum, and student participation and identity each play an essential role in transforming mathematics classrooms with technology. Further, evidence of effectiveness is complemented by insightful case studies of how key factors lead to enhancing learning, including the contributions of  design research, classroom discourse, and meaningful assessment. 

The volume organizes over 15 years of sustained research by multiple investigators in different states and countries who together developed an approach called "SimCalc" that radically transforms how Algebra and Calculus are taught.
The SimCalc program engages students around simulated motions, such as races on a soccer field, and builds understanding using visual representations such as graphs, and familiar representations such as stories to help students to develop meaning for more abstract mathematical symbols. Further, the SimCalc program leverages classroom wireless networks to increase participation by all students in doing, talking about, and reflecting on mathematics. Unlike many technology programs, SimCalc research shows the benefits of balanced attention to curriculum, pedagogy, teacher professional development, assessment and technology - and has proven effectiveness results at the scale of hundreds of schools and classrooms.
Combining the findings of multiple investigators in one accessible volume reveals the depth and breadth of the research program, and engages readers interested in:
*        Designing innovative curriculum, software, and professional development
·         Effective uses of technology to improve mathematics education
*        Creating integrated systems of teaching that transform mathematics classrooms
*        Scaling up new pedagogies to hundreds of schools and classrooms
*       Conducting research that really matters for the future of mathematics learning

*        Engaging students in deeply learning the important concepts in mathematics

Contents

Part I Philosophy & Background

Ubiratan D’Ambrosio

Introduction: Major Themes, Technologies, and Timeline  . 5

Jeremy Roschelle and Stephen Hegedus

The Mathematics of Change and Variation from a Millennial Perspective: New Content, New Context .. 13

James J. Kaput and Jeremy Roschelle

From Static to Dynamic Mathematics: Historical and Representational Perspectives . .. 27

Luis Moreno-Armella and Stephen Hegedus

Intersecting Representation and Communication Infrastructures .. . 47

Stephen Hegedus and Luis Moreno-Armella

Part II Aspects of Design

Reflections on Significant Developments in Designing SimCalc Software . 65

James Burke, Stephen Hegedus, and Ryan Robidoux

Designing for Generative Activities: Expanding Spaces for Learning and Teaching . . . . 85

Nancy Ares

SimCalc and the Networked Classroom . . .. . 99

Corey Brady, Tobin White, Sarah Davis, and Stephen Hegedus

Part III Impacts from Large-Scale Research

Jinfa Cai

SimCalc at Scale: Three Studies Examine the Integration of Technology, Curriculum, and Professional Development for Advancing Middle School Mathematics .  . 125

Jeremy Roschelle and Nicole Shechtman

Learning and Participation in High School Classrooms . . 145

Sara Dalton and Stephen Hegedus

Development of Student and Teacher Assessments in the Scaling Up SimCalc Project  . 167

Nicole Shechtman, Geneva Haertel, Jeremy Roschelle, Jennifer Knudsen, and Corinne Singleton

Sustainable Use of Dynamic Representational Environments: Toward a District-Wide Adoption of SimCalc-Based Materials . . 183

Phil Vahey, George J. Roy, and Vivian Fueyo

Impact of Classroom Connectivity on Learning and Participation .  203

Stephen Hegedus, Luis Moreno-Armella, Sara Dalton, Arden Brookstein, and John Tapper

Part IV Impacts from Small-Scale Research

Mathematical Discourse as a Process that Mediates Learning in SimCalc Classrooms . . 233

Jessica Pierson Bishop

Scaling Up Innovative Mathematics in the Middle Grades: Case Studies of “Good Enough” Enactments .  . . 251

Susan B. Empson, Steven Greenstein, Luz Maldonado, and Jeremy Roschelle

Changing from the Inside Out: SimCalc Teacher Changes in Beliefs and Practices . . 271

John Tapper

Connection Making: Capitalizing on the Affordances of Dynamic Representations Through Mathematically Relevant Questioning . . 285

Chandra Hawley Orrill

“They Need to Be Solid in Standard Skills First”: How Standards Can Become the Upper Bound  299

Margaret Dickey-Kurdziolek and Deborah Tatar

Part V International Contributions

Developing and Enhancing Elementary School Students’ Higher Order Mathematical Thinking with SimCalc .  319

Demetra Pitta-Pantazi, Paraskevi Sophocleous, and Constantinos Christou Adapting SimCalc to Different School Mathematics Cultures: A Case Study from Brazil . . 341

Rosana Nogueira de Lima, Lulu Healy, and Tânia M.M. Campos

Mathematical Modeling with SimCalc: Enhancing Students’ Complex Problem Solving Skills Using a Modeling Approach . . . 363

Nicholas G. Mousoulides

Approaching Calculus with SimCalc: Linking Derivative and Antiderivative . . . 383

Patricia Salinas

Part VI Extensions, Commentaries, & Future Visions

You Can Lead a Horse to Water: Issues in Deepening Learning Through Deepening Teaching .. 403

John Mason

Modeling as a Means for Making Powerful Ideas Accessible to Children at an Early Age . 419

Richard Lesh, Lyn English, Serife Sevis, and Chanda Riggs

The Kaputian Program and Its Relation to DNR-Based Instruction: A Common Commitment to the Development of Mathematics with Meaning .  437

Guershon Harel

The Evolution of Technology and the Mathematics of Change and Variation: Using Human Perceptions and Emotions to Make Sense of Powerful Ideas . .449

David Tall

Conversation About SimCalc, Its Evolution and Lessons Along the Way . 463

Eric Hamilton and Nora Sabelli

Index . . . 475