Foundations for the Future in Mathematics Education Book

Preface: Foundations for the Future in Engineering and other Fields That Are Heavy Users of Mathematics, Science and Technology   Richard Lesh     vii
What Changes are Occurring in the Kind of Problem-Solving Situations Where Mathematical Thinking Is Needed Beyond School?   Eric Hamilton     1
The Meanings of Statistical Variation in the Context of Work   Celia Hoyles   Richard Noss     7
Problem-Solving and Learning in Everyday Structural Engineering Work   Julie Gainsburg     37
Modeling Without End: Conflict Across Organizational and Disciplinary Boundaries in Habitat Conservation Planning   Bruce Evan Goldstein   Rogers Hall     57
Mathematical Modeling 'in the Wild': A Case of Hot Cognition   Wolff-Michael Roth     77
Learning in Design   David Williamson Shaffer     99
The Cognitive Science of Mathematics: Why Is It Relevant for Mathematics Education?   Rafael Nunez     127
What Changes Are Occurring in the Kind of Elementary-but-Powerful Mathematics Concepts That Provide New Foundations for the Future?   Richard Lesh     155
Models, Simulations, and Exploratory Environments: A Tentative Taxonomy   Judah L. Schwartz     161
Technology Becoming Infrastructural in Mathematics Education   Jim Kaput   Richard Lesh   Steve Hegedus     173
Why Build a Mathematical Model? Taxonomy of Situations That Create the Need for a Model to Be Developed   Maynard Thompson   Caroline Yoon     193
Cultivating Modeling Abilities   Caroline Yoon   Maynard Thompson     201
Discrete Mathematics in 21st Century Education: An Opportunity to Retreat from the Rush to Calculus   Joseph G. Rosenstein     211
Formalizing Learning as a Complex System: Scale Invariant Power Law Distributions in Group and Individual Decision Making   Thomas Hills   Andrew C. Huford   Walter M. Stroup   Richard Lesh     225
Systemics of Learning for a Revised Pedagogical Agenda   Andrea A. diSessa     245
The DNR System as a Conceptual Framework for Curriculum Development and Instruction   Guershon Harel     263
Aspects of Affect and Mathematical Modeling Processes   Gerald A. Goldin     281
What Kind of Instructional Activities are Are Needed to Develop New Levels and Types of Understanding and Ability?   Richard Lesh   Jim Kaput     297
Beyond Efficiency: A Critical Perspective of Singapore's Educational Reforms   Mani Le Vasan   Richard Lesh   Mardiana Abu Bakar     301
John Dewey Revisited-Making Mathematics Practical versus Making Practice Mathematical   Richard Lesh   Caroline Yoon   Judi Zawojewski     315
The Use of Reflection Tools in Building Personal Models of Problem-Solving   Eric Hamilton   Richard Lesh   Frank Lester   Caroline Yoon     349
Diversity-by-Design: The What, Why, and How of Generativity in Next-Generation Classroom Networks   Walter M. Stroup   Nancy Ares   Andrew C. Hurford   Richard Lesh     367
When the Model Is a Program   Fred G. Martin   Margret A. Hjalmarson   Phillip C. Wankat     395
Uncertainty and Iteration in Design Tasks for Engineering Students   Margret A. Hjalmarson   Monica Cardella   Phillip C. Wankat     409
Teacher Development in a Large Urban District and the Impact on Students   Roberta Y. Schorr   Lisa Warner   Darleen Gearhar   May Samuels     431
Directions for Future Research   Richard Lesh   Eric Hamilton   Jim Kaput     449
Author Index     455
Subject Index     463