Psychology Of Problem Solving The The Background To Successful Mathematics Thinking

Author : Virgadamo Danielle Sauro,Posamentier Alfred S,Keefe-cooperman Kathleen,Kose Gary
Publisher : World Scientific
Page : 168 pages
File Size : 40,7 Mb
Release : 2019-08-21
Category : Mathematics
ISBN : 9789811205729

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Psychology Of Problem Solving, The: The Background To Successful Mathematics Thinking by Virgadamo Danielle Sauro,Posamentier Alfred S,Keefe-cooperman Kathleen,Kose Gary Pdf

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.

Author : Alfred S. Posamentier,Danielle Sauro Virgadamo
Publisher : Unknown
Page : 168 pages
File Size : 51,7 Mb
Release : 2019
Category : Mathematics
ISBN : 981120571X

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The Psychology of Problem Solving by Alfred S. Posamentier,Danielle Sauro Virgadamo Pdf

Author : Robert J. Sternberg,Talia Ben-Zeev
Publisher : Psychology Press
Page : 356 pages
File Size : 44,5 Mb
Release : 1996
Category : Education
ISBN : 0805817999

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The Nature of Mathematical Thinking by Robert J. Sternberg,Talia Ben-Zeev Pdf

First Published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.

Author : Alfred S Posamentier,Beverly Smith
Publisher : World Scientific
Page : 1042 pages
File Size : 50,5 Mb
Release : 2020-09-18
Category : Mathematics
ISBN : 9789811211430

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Teaching Secondary School Mathematics: Techniques And Enrichment by Alfred S Posamentier,Beverly Smith Pdf

The primary aim of this book is to provide teachers of mathematics with all the tools they would need to conduct most effective mathematics instruction. The book guides teachers through the all-important planning process, which includes short and long-term planning as well as constructing most effective lessons, with an emphasis on motivation, classroom management, emphasizing problem-solving techniques, assessment, enriching instruction for students at all levels, and introducing relevant extracurricular mathematics activities. Technology applications are woven throughout the text.A unique feature of this book is the second half, which provides 125 highly motivating enrichment units for all levels of secondary school mathematics. Many years of proven success makes this book essential for both pre-service and in-service mathematics teachers.

Author : Alfred S Posamentier
Publisher : World Scientific
Page : 556 pages
File Size : 47,5 Mb
Release : 2021-06-08
Category : Mathematics
ISBN : 9789811240447

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Creative Secondary School Mathematics: 125 Enrichment Units For Grades 7 To 12 by Alfred S Posamentier Pdf

There are many topics within the scope of the secondary school mathematics curriculum that are clearly of a motivational sort, and because of lack of time they are usually not included in the teaching process. This book provides the teacher 125 individual units — ranging from grades 7 through 12 — that can be used to enhance the mathematics curriculum. Each unit presents a preassessment, instructional objectives, and a detailed description of the topic as well as teaching suggestions. Each unit has a post-assessment. This is the sort of instructional intervention that can make students love mathematics!

Author : Alfred S Posamentier
Publisher : World Scientific
Page : 304 pages
File Size : 54,8 Mb
Release : 2020-07-21
Category : Mathematics
ISBN : 9789811219306

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Mathematics Entertainment For The Millions by Alfred S Posamentier Pdf

'The physical form of this new title is pleasing, including good paper, readable font, and durable binding … The book is not a collection of practical ideas. Rather, it is intended for those curious about pure mathematical tidbits. The flavor is light, as opposed to pedantic. Among the numerous books of this type, this title is significantly better than most. It should be considered for private collections and for libraries that can afford to serve a small, unique readership.Summing Up: Recommended. General readers.'CHOICEThis book demonstrates to the general audience that mathematics can be entertaining and fun, rather than the sad reputation it has gained over decades from uninspired school instruction that is often devoid of enrichment or motivational considerations.The book is designed in such a way that a reader will need almost no special preparation in mathematics, but to recall some of the most basic concepts that were taught at the lower-secondary-grade level.Yet, by the same token, the book will hopefully open up doors for those less motivated in mathematics — to interest readers to investigate some of the topics presented and thereby enhance their knowledge of mathematics — something most general readers will not initially find possible, but we hope will be an end product of this book.

Author : Robert Geretschlager
Publisher : World Scientific
Page : 193 pages
File Size : 41,9 Mb
Release : 2019-11-26
Category : Mathematics
ISBN : 9789811205842

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Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume I - Competition-ready Mathematics by Robert Geretschlager Pdf

The two volumes of Engaging Young Students in Mathematics through Competitions present a wide scope of aspects relating to mathematics competitions and their meaning in the world of mathematical research, teaching and entertainment.Volume I contains a wide variety of fascinating mathematical problems of the type often presented at mathematics competitions as well as papers by an international group of authors involved in problem development, in which we can get a sense of how such problems are created in various specialized areas of competition mathematics as well as recreational mathematics.It will be of special interest to anyone interested in solving original mathematics problems themselves for enjoyment to improve their skills. It will also be of special interest to anyone involved in the area of problem development for competitions, or just for recreational purposes.The various chapters were written by the participants of the 8th Congress of the World Federation of National Mathematics Competitions in Austria in 2018.

Author : Geretschlager Robert
Publisher : World Scientific
Page : 300 pages
File Size : 48,6 Mb
Release : 2020-04-15
Category : Education
ISBN : 9789811209833

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Engaging Young Students In Mathematics Through Competitions - World Perspectives And Practices: Volume Ii - Mathematics Competitions And How They Relate To Research, Teaching And Motivation by Geretschlager Robert Pdf

Author : Denise H Sutton,Alfred S Posamentier
Publisher : World Scientific
Page : 222 pages
File Size : 55,5 Mb
Release : 2021-01-26
Category : Mathematics
ISBN : 9789811231681

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Innovative Teaching: Best Practices From Business And Beyond For Mathematics Teachers by Denise H Sutton,Alfred S Posamentier Pdf

Innovative Teaching: Best Practices from Business and Beyond for Mathematics Teachers provides educators with new and exciting ways to introduce material and methods to motivate and engage students by showing how some of the techniques commonly used in the business world — and beyond — are applicable to the world of education. It also offers educators practical advice with regard to the changing culture of education, keeping up with technology, navigating politics at work, interacting with colleagues, developing leadership skills, group behavior, and gender differences.Innovative Teaching demonstrates how the classroom environment is similar to the marketplace. Educators, like businesses, for example, must capture and hold the attention of their audience while competing with a constant stream of 'noise.' With the introduction of the Internet and the wide use of social media, promoters understand that they must not only engage their audience, but also incorporate audience feedback into the promotional work and product or service they offer. Innovative Teaching shows educators how to take the best practices from business — and beyond — and recombine these resources for appropriate use in the classroom.

Author : Yuan Yuan
Publisher : World Scientific
Page : 344 pages
File Size : 53,9 Mb
Release : 2019-09-19
Category : Psychology
ISBN : 9789813278950

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The Clinical Operation Of Imagery Communication Psychotherapy by Yuan Yuan Pdf

Up to now, more than 400 types of psychotherapies have been published in the world. Among them Imagery Communication Psychotherapy (ICP) is the only existing and developing psychotherapy created by Chinese psychologists. Over the years, ICP has become the most popular method of psychotherapy in China.ICP helps the psychotherapist to communicate with his/her client on the subconscious level by using the symbolic meanings of imagery — unconscious to unconscious. This book provides a guide to this therapy approach by covering topics both in theory and in practice. Each chapter contains real examples based on the author's clinical practice in China, so that the readers can clearly understand the clinical operation process of ICP. All aspects of operation and clinical techniques are detailed in terms of work mechanism, common instructions, operational steps, and precautions. The book also covers ICP psychotherapists' self-growth training techniques and innovative sub-techniques in ICP.

Author : ALAN H. SCHOENFELD
Publisher : Elsevier
Page : 409 pages
File Size : 51,5 Mb
Release : 2014-06-28
Category : Mathematics
ISBN : 9781483295480

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Mathematical Problem Solving by ALAN H. SCHOENFELD Pdf

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.

Author : Alan H. Schoenfeld,Alan H. Sloane
Publisher : Routledge
Page : 360 pages
File Size : 53,7 Mb
Release : 2016-05-06
Category : Education
ISBN : 9781135440862

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Mathematical Thinking and Problem Solving by Alan H. Schoenfeld,Alan H. Sloane Pdf

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.

Author : Douglas B. McLeod,Verna M. Adams
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461236146

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Affect and Mathematical Problem Solving by Douglas B. McLeod,Verna M. Adams Pdf

Research on cognitive aspects of mathematical problem solving has made great progress in recent years, but the relationship of affective factors to problem-solving performance has been a neglected research area. The purpose of Affect and Mathematical Problem Solving: A New Perspective is to show how the theories and methods of cognitive science can be extended to include the role of affect in mathematical problem solving. The book presents Mandler's theory of emotion and explores its implications for the learning and teaching of mathematical problem solving. Also, leading researchers from mathematics, education, and psychology report how they have integrated affect into their own cognitive research. The studies focus on metacognitive processes, aesthetic influences on expert problem solvers, teacher decision-making, technology and teaching problem solving, and beliefs about mathematics. The results suggest how emotional factors like anxiety, frustration, joy, and satisfaction can help or hinder performance in problem solving.

Author : Robert J. Sternberg
Publisher : Academic Press
Page : 461 pages
File Size : 46,9 Mb
Release : 2013-10-22
Category : Psychology
ISBN : 9780080572994

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Thinking and Problem Solving by Robert J. Sternberg Pdf

Thinking and Problem-Solving presents a comprehensive and up-to-date review of literature on cognition, reasoning, intelligence, and other formative areas specific to this field. Written for advanced undergraduates, researchers, and academics, this volume is a necessary reference for beginning and established investigators in cognitive and educational psychology. Thinking and Problem-Solving provides insight into questions such as: how do people solve complex problems in mathematics and everyday life? How do we generate new ideas? How do we piece together clues to solve a mystery, categorize novel events, and teach others to do the same? Provides a comprehensive literature review Covers both historical and contemporary approaches Organized for ease of use and reference Chapters authored by leading scholars

Author : VIRUTI SATYAN SHIVAN
Publisher : Viruti Satyan Shivan
Page : 205 pages
File Size : 48,6 Mb
Release : 2024-05-23
Category : Business & Economics
ISBN : 8210379456XXX

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Psychology Behind Mathematics - The Comprehensive Guide by VIRUTI SATYAN SHIVAN Pdf

Dive into the fascinating intersection of mind and math with "Psychology Behind Mathematics: The Comprehensive Guide." This book offers an unparalleled exploration into how psychological principles shape our understanding and capabilities in mathematics. It sheds light on the cognitive processes, learning strategies, and emotional factors that influence mathematical comprehension and problem-solving skills. By bridging the gap between abstract numerical concepts and tangible psychological insights, this guide promises to transform your approach to mathematics, making it more accessible, enjoyable, and profoundly rewarding. Without relying on images or illustrations to avoid copyright issues, the book meticulously presents complex ideas through vivid descriptions and compelling narratives, ensuring a rich and immersive learning experience. Whether you're a student struggling with numbers, a teacher seeking innovative teaching strategies, or simply a math enthusiast curious about the psychological aspects of this universal language, this book is your key to unlocking a deeper, more intuitive understanding of mathematics. It goes beyond traditional methods to present a holistic view of the mathematical mind, incorporating research findings, case studies, and practical exercises. "Psychology Behind Mathematics: The Comprehensive Guide" is not just a book; it's a journey into the heart of mathematics through the lens of psychology, promising to enlighten, inspire, and empower its readers.