Mathematical Thinking And Problem Solving
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Mathematical Thinking And Problem Solving
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Author : Alan H. Schoenfeld
language : en
Publisher: Routledge
Release Date : 2016-05-06
Mathematical Thinking And Problem Solving written by Alan H. Schoenfeld and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-06 with Education categories.
In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.
Fostering And Sustaining Mathematics Thinking Through Problem Solving
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Author : John Mason
language : en
Publisher: Deakin University Press
Release Date : 1991
Fostering And Sustaining Mathematics Thinking Through Problem Solving written by John Mason and has been published by Deakin University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
Prepared for courses ECT405, ECT705 offered by the Faculty of Education in Deakin University's Open Campus Program.
Puzzles Paradoxes And Problem Solving
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Author : Marilyn A. Reba
language : en
Publisher: CRC Press
Release Date : 2014-12-15
Puzzles Paradoxes And Problem Solving written by Marilyn A. Reba and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-15 with Mathematics categories.
A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress
Mathematical Problem Solving
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Author : ALAN H. SCHOENFELD
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Mathematical Problem Solving written by ALAN H. SCHOENFELD and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
This book is addressed to people with research interests in the nature of mathematical thinking at any level, to people 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.
Strategies For Problem Solving
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Author : Kaye Christine Stacey
language : en
Publisher:
Release Date : 1985
Strategies For Problem Solving written by Kaye Christine Stacey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Mathematical Thinking
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Author : John P. D'Angelo
language : en
Publisher:
Release Date : 2018
Mathematical Thinking written by John P. D'Angelo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
For one/two-term courses in Transition to Advanced Mathematics or Introduction to Proofs. Also suitable for courses in Analysis or Discrete Math. This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. This text is designed to prepare students thoroughly in the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics-skills vital for success throughout the upperclass mathematics curriculum. The text offers both discrete and continuous mathematics, allowing instructors to emphasize one or to present the fundamentals of both. It begins by discussing mathematical language and proof techniques (including induction), applies them to easily-understood questions in elementary number theory and counting, and then develops additional techniques of proof via important topics in discrete and continuous mathematics. The stimulating exercises are acclaimed for their exceptional quality.
Mathematical Thinking
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Author : John P. D'Angelo
language : en
Publisher:
Release Date : 1997
Mathematical Thinking written by John P. D'Angelo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Education categories.
Developing logical thinking and fundamental mathematical ideas, and using problems that pique students' mathematical curiosity, this work aims to prepare readers for all upper-division mathematics courses and improve their skills in presenting coherent arguments.
Psychology Of Problem Solving The The Background To Successful Mathematics Thinking
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Author : Virgadamo Danielle Sauro
language : en
Publisher: World Scientific
Release Date : 2019-08-21
Psychology Of Problem Solving The The Background To Successful Mathematics Thinking written by Virgadamo Danielle Sauro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-21 with Mathematics categories.
The art or skill of problem solving in mathematics is mostly relegated to the strategies one can use to solve problems in the field. Although this book addresses that issue, it delves deeply into the psychological aspects that affect successful problem-solving. Such topics as decision-making, judgment, and reasoning as well as using memory effectively and a discussion of the thought processes that could help address certain problem-solving situations.Most books that address problem-solving and mathematics focus on the various skills. This book goes beyond that and investigates the psychological aspects to solving problems in mathematics.
Mathematical Thinking
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Author : Masami Isoda
language : en
Publisher: World Scientific
Release Date : 2012
Mathematical Thinking written by Masami Isoda and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Effective teaching categories.
Developing mathematical thinking is one of major aims of mathematics education. In mathematics education research, there are a number of researches which describe what it is and how we can observe in experimental research. However, teachers have difficulties developing it in the classrooms. This book is the result of lesson studies over the past 50 years. It describes three perspectives of mathematical thinking: Mathematical Attitude (Minds set), Mathematical Methods in General and Mathematical Ideas with Content and explains how to develop them in the classroom with illuminating examples.
Introduction To Problem Solving
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Author : Susan O'Connell
language : en
Publisher: Heinemann Educational Books
Release Date : 2007
Introduction To Problem Solving written by Susan O'Connell and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Education categories.
Presents techniques and examples for teaching prekindergarten through second grade students mathematical thinking and problem solving, and includes a CD-ROM containing modifiable activities.