The central question addressed in "Foundations for the Future in Mathematics Education" is this: What kind of understandings and abilities should be emphasized to decrease mismatches between the narrow band of mathematical understandings and abiliti
The central question addressed in "Foundations for the Future in Mathematics Education" is this: What kind of understandings and abilities should be emphasized to decrease mismatches between the narrow band of mathematical understandings and abiliti
Contents: Preface: R.A. Lesh Foundations for the Future in Engineering and Other Fields That Are Heavy Users of Mathematics Science & Technology. Part I: E. Hamilton What Changes Are Occurring in the Kind of Problem Solving Situations Where Mathematical Thinking is Needed Beyond School?C. Hoyles R. Noss The Meanings of Statistical Variation in the Context of Work. J. Gainsburg Problem Solving and Learning in Everyday Structural Engineering Work. B. Goldstein R. Hall Modeling Without End: Conflict Across Organizational and Disciplinary Boundaries in Habitat Conservation Planning. W-M. Roth Mathematical Modeling 'in the Wild': A Case of Hot Cognition. D.W. Shaffer Learning in Design. R. Núñez The Cognitive Science of Mathematics: Why Is It Relevant for Mathematics Education? Part II: R.A. Lesh What Changes Are Occurring in the Kind of Elementary-but-Powerful Mathematics Concepts That Provide New Foundations for the Future? J.L. Schwartz Models Simulations and Exploratory Environments: A Tentative Taxonomy. J.J. Kaput R.A. Lesh S. Hegedus Technology Becoming Infrastructural in Mathematics Education. M. Thompson C. Yoon Why Build a Mathematical Model? Taxonomy of Situations That Create the Need for a Model to Be Developed. C. Yoon M. Thompson Cultivating Modeling Abilities. J.G. Rosenstein Discrete Mathematics in 21st Century Education: An Opportunity to Retreat From the Rush to Calculus. T. Hills A.C. Huford W.M. Stroup R.A. Lesh Formalizing Learning as a Complex System: Scale Invariant Power Law Distributions in Group and Individual Decision Making. A. diSessa Systemics of Learning for a Revised Pedagogical Agenda. G. Harel The DNR System as a Conceptual Framework for Curriculum Development and Instruction. G.A. Goldin Aspects of Affect and Mathematical Modeling Processes. Part III:R.A. Lesh What Kind of Instructional Activities Are Needed to Develop New Levels and Types of Understanding and Ability?M. Le Vasan R.A. Lesh M.A. Bakar Beyond Efficiency: A Critical Perspective of Singapore's Educational Reforms. R.A. Lesh C. Yoon J. Zawojewski John Dewey Revisited-Making Mathematics Practical Versus Making Practice Mathematical. E. Hamilton R.A. Lesh F. Lester C. Yoon The Use of Reflection Tools in Building Personal Models of Problem-Solving. W.M. Stroup N. Ares A.C. Hurford R.A. Lesh Diversity by Design: The What Why and How of Generativity in Next-Generation Classroom Networks. F.G. Martin M.A. Hjalmarson P.C. Wankat When the Model Is a Program. M.A. Hjalmarson M. Cardella P.C. Wankat Uncertainty and Iteration in Design Tasks for Engineering Students. R.Y. Schorr L. Warner D. Gearhar M. Samuels Teacher Development in a Large Urban District and the Impact on Students. R.A. Lesh E. Hamilton J.J. Kaput Directions for Future Research.
Contents: Preface: R.A. Lesh Foundations for the Future in Engineering and Other Fields That Are Heavy Users of Mathematics Science & Technology. Part I: E. Hamilton What Changes Are Occurring in the Kind of Problem Solving Situations Where Mathematical Thinking is Needed Beyond School?C. Hoyles R. Noss The Meanings of Statistical Variation in the Context of Work. J. Gainsburg Problem Solving and Learning in Everyday Structural Engineering Work. B. Goldstein R. Hall Modeling Without End: Conflict Across Organizational and Disciplinary Boundaries in Habitat Conservation Planning. W-M. Roth Mathematical Modeling 'in the Wild': A Case of Hot Cognition. D.W. Shaffer Learning in Design. R. Núñez The Cognitive Science of Mathematics: Why Is It Relevant for Mathematics Education? Part II: R.A. Lesh What Changes Are Occurring in the Kind of Elementary-but-Powerful Mathematics Concepts That Provide New Foundations for the Future? J.L. Schwartz Models Simulations and Exploratory Environments: A Tentative Taxonomy. J.J. Kaput R.A. Lesh S. Hegedus Technology Becoming Infrastructural in Mathematics Education. M. Thompson C. Yoon Why Build a Mathematical Model? Taxonomy of Situations That Create the Need for a Model to Be Developed. C. Yoon M. Thompson Cultivating Modeling Abilities. J.G. Rosenstein Discrete Mathematics in 21st Century Education: An Opportunity to Retreat From the Rush to Calculus. T. Hills A.C. Huford W.M. Stroup R.A. Lesh Formalizing Learning as a Complex System: Scale Invariant Power Law Distributions in Group and Individual Decision Making. A. diSessa Systemics of Learning for a Revised Pedagogical Agenda. G. Harel The DNR System as a Conceptual Framework for Curriculum Development and Instruction. G.A. Goldin Aspects of Affect and Mathematical Modeling Processes. Part III:R.A. Lesh What Kind of Instructional Activities Are Needed to Develop New Levels and Types of Understanding and Ability?M. Le Vasan R.A. Lesh M.A. Bakar Beyond Efficiency: A Critical Perspective of Singapore's Educational Reforms. R.A. Lesh C. Yoon J. Zawojewski John Dewey Revisited-Making Mathematics Practical Versus Making Practice Mathematical. E. Hamilton R.A. Lesh F. Lester C. Yoon The Use of Reflection Tools in Building Personal Models of Problem-Solving. W.M. Stroup N. Ares A.C. Hurford R.A. Lesh Diversity by Design: The What Why and How of Generativity in Next-Generation Classroom Networks. F.G. Martin M.A. Hjalmarson P.C. Wankat When the Model Is a Program. M.A. Hjalmarson M. Cardella P.C. Wankat Uncertainty and Iteration in Design Tasks for Engineering Students. R.Y. Schorr L. Warner D. Gearhar M. Samuels Teacher Development in a Large Urban District and the Impact on Students. R.A. Lesh E. Hamilton J.J. Kaput Directions for Future Research.
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