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Book Mathematical Problem Solving

Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD and published by Elsevier. This book was released on 2014-06-28 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.

Book Mathematical Problem Solving and New Information Technologies

Download or read book Mathematical Problem Solving and New Information Technologies written by Joao P. Ponte and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW "Information Technology and Mathematical Problem Solving Research", held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a "chaotic field" in which progress has been quite slow.

Book Investigations in Mathematics Education

Download or read book Investigations in Mathematics Education written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Catalog of Copyright Entries  Third Series

Download or read book Catalog of Copyright Entries Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1974 with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Beyond Constructivism

    Book Details:
  • Author : Richard A. Lesh
  • Publisher : Routledge
  • Release : 2003-05-01
  • ISBN : 1317438515
  • Pages : 614 pages

Download or read book Beyond Constructivism written by Richard A. Lesh and published by Routledge. This book was released on 2003-05-01 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has two primary goals. On the level of theory development, the book clarifies the nature of an emerging "models and modeling perspective" about teaching, learning, and problem solving in mathematics and science education. On the level of emphasizing practical problems, it clarifies the nature of some of the most important elementary-but-powerful mathematical or scientific understandings and abilities that Americans are likely to need as foundations for success in the present and future technology-based information age. Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching features an innovative Web site housing online appendices for each chapter, designed to supplement the print chapters with digital resources that include example problems, relevant research tools and video clips, as well as transcripts and other samples of students' work: http://tcct.soe.purdue.edu/booksULandULjournals/modelsULandUL modeling/ This is an essential volume for graduate-level courses in mathematics and science education, cognition and learning, and critical and creative thinking, as well as a valuable resource for researchers and practitioners in these areas.

Book Concept Invention

    Book Details:
  • Author : Roberto Confalonieri
  • Publisher : Springer
  • Release : 2018-10-05
  • ISBN : 3319656023
  • Pages : 304 pages

Download or read book Concept Invention written by Roberto Confalonieri and published by Springer. This book was released on 2018-10-05 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a computationally feasible, cognitively inspired formal model of concept invention, drawing on Fauconnier and Turner's theory of conceptual blending, a fundamental cognitive operation. The chapters present the mathematical and computational foundations of concept invention, discuss cognitive and social aspects, and further describe concrete implementations and applications in the fields of musical and mathematical creativity. Featuring contributions from leading researchers in formal systems, cognitive science, artificial intelligence, computational creativity, mathematical reasoning and cognitive musicology, the book will appeal to readers interested in how conceptual blending can be precisely characterized and implemented for the development of creative computational systems.

Book Teaching of Mathematics

Download or read book Teaching of Mathematics written by and published by APH Publishing. This book was released on 2010 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Transfer of Cognitive Skill

Download or read book The Transfer of Cognitive Skill written by Mark K. Singley and published by Harvard University Press. This book was released on 1989 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The issue of the transfer of learning from one domain to another is a classic problem in psychology and an educational question of great importance, which this book sets out to solve through a theory of transfer based on a comprehensive theory of skill acquisition.

Book An Exploratory Study of the Use of Problem Solving Heuristics in the Playing of Games Involving Mathematics

Download or read book An Exploratory Study of the Use of Problem Solving Heuristics in the Playing of Games Involving Mathematics written by William Harvey Kraus and published by . This book was released on 1980 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical Problem Solving

Download or read book Mathematical Problem Solving written by Frank K. Lester and published by . This book was released on 1982 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This set of papers was originally developed for a conference on Issues and Directions in Mathematics Problem Solving Research held at Indiana University in May 1981. The purpose is to contribute to the clear formulation of the key issues in mathematical problem-solving research by presenting the ideas of actively involved researchers. An introduction provides an overview of each paper. The papers focus on the psychology of mathematical problem solving (R. E. Mayer), knowledge organization (E. A. Silver), implications from information-processing psychology, (D. J. Briars) building bridges between psychological and mathematics education research (F. K. Lester, Jr.), measuring problem solving outcomes (G. A. Goldin), a model for elementary teacher training in problem solving (J. F. LeBlanc), applied problem solving (R. Lesh, and M. Akerstrom), a concept-learning perspective (R. J. Shumway), and a statement of issues (H. L. Schoen). (MNS)

Book An Exploratory Study to Compare Two Performance Measures

Download or read book An Exploratory Study to Compare Two Performance Measures written by Donald L. Zalewski and published by . This book was released on 1974 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Research in Education

Download or read book Research in Education written by and published by . This book was released on 1973 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A Model of Human Mathematics Problem resolution in Analysis

Download or read book A Model of Human Mathematics Problem resolution in Analysis written by Philip Wagala Gwanyama and published by . This book was released on 1990 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Resources in Education

Download or read book Resources in Education written by and published by . This book was released on 1973 with total page 1262 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Journal for Research in Mathematics Education

Download or read book Journal for Research in Mathematics Education written by and published by . This book was released on 1984 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: