Encyclopedia of the Sciences of Learning

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Publisher : Springer Science & Business Media
ISBN 13 : 1441914277
Total Pages : 3643 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Encyclopedia of the Sciences of Learning by : Norbert M. Seel

Download or read book Encyclopedia of the Sciences of Learning written by Norbert M. Seel and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 3643 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past century, educational psychologists and researchers have posited many theories to explain how individuals learn, i.e. how they acquire, organize and deploy knowledge and skills. The 20th century can be considered the century of psychology on learning and related fields of interest (such as motivation, cognition, metacognition etc.) and it is fascinating to see the various mainstreams of learning, remembered and forgotten over the 20th century and note that basic assumptions of early theories survived several paradigm shifts of psychology and epistemology. Beyond folk psychology and its naïve theories of learning, psychological learning theories can be grouped into some basic categories, such as behaviorist learning theories, connectionist learning theories, cognitive learning theories, constructivist learning theories, and social learning theories. Learning theories are not limited to psychology and related fields of interest but rather we can find the topic of learning in various disciplines, such as philosophy and epistemology, education, information science, biology, and – as a result of the emergence of computer technologies – especially also in the field of computer sciences and artificial intelligence. As a consequence, machine learning struck a chord in the 1980s and became an important field of the learning sciences in general. As the learning sciences became more specialized and complex, the various fields of interest were widely spread and separated from each other; as a consequence, even presently, there is no comprehensive overview of the sciences of learning or the central theoretical concepts and vocabulary on which researchers rely. The Encyclopedia of the Sciences of Learning provides an up-to-date, broad and authoritative coverage of the specific terms mostly used in the sciences of learning and its related fields, including relevant areas of instruction, pedagogy, cognitive sciences, and especially machine learning and knowledge engineering. This modern compendium will be an indispensable source of information for scientists, educators, engineers, and technical staff active in all fields of learning. More specifically, the Encyclopedia provides fast access to the most relevant theoretical terms provides up-to-date, broad and authoritative coverage of the most important theories within the various fields of the learning sciences and adjacent sciences and communication technologies; supplies clear and precise explanations of the theoretical terms, cross-references to related entries and up-to-date references to important research and publications. The Encyclopedia also contains biographical entries of individuals who have substantially contributed to the sciences of learning; the entries are written by a distinguished panel of researchers in the various fields of the learning sciences.

Mathematical Problem Solving

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Author :
Publisher : Elsevier
ISBN 13 : 1483295486
Total Pages : 426 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Mathematical Problem Solving by : ALAN H. SCHOENFELD

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.

Problem Solving in Mathematics Education

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Author :
Publisher : Springer
ISBN 13 : 3319407309
Total Pages : 46 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Problem Solving in Mathematics Education by : Peter Liljedahl

Download or read book Problem Solving in Mathematics Education written by Peter Liljedahl and published by Springer. This book was released on 2016-06-27 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: This survey book reviews four interrelated areas: (i) the relevance of heuristics in problem-solving approaches – why they are important and what research tells us about their use; (ii) the need to characterize and foster creative problem-solving approaches – what type of heuristics helps learners devise and practice creative solutions; (iii) the importance that learners formulate and pursue their own problems; and iv) the role played by the use of both multiple-purpose and ad hoc mathematical action types of technologies in problem-solving contexts – what ways of reasoning learners construct when they rely on the use of digital technologies, and how technology and technology approaches can be reconciled.

Mathematical Problem Solving

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Author :
Publisher : Springer
ISBN 13 : 3030104729
Total Pages : 361 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Mathematical Problem Solving by : Peter Liljedahl

Download or read book Mathematical Problem Solving written by Peter Liljedahl and published by Springer. This book was released on 2019-02-12 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.

Curriculum and Evaluation Standards for School Mathematics

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Author :
Publisher : National Council of Teachers of Mathematics
ISBN 13 :
Total Pages : 278 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Curriculum and Evaluation Standards for School Mathematics by : National Council of Teachers of Mathematics. Commission on Standards for School Mathematics

Download or read book Curriculum and Evaluation Standards for School Mathematics written by National Council of Teachers of Mathematics. Commission on Standards for School Mathematics and published by National Council of Teachers of Mathematics. This book was released on 1989 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Curriculum standards for mathematics for grades K-4, 5-8, and 9-12 are presented which suggest areas of instructional emphasis for specific student outcomes. Also discusses evaluation standards for both the curriculum and student achievement. K-12.

The Art of Problem Posing

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Publisher : Psychology Press
ISBN 13 : 1135612242
Total Pages : 178 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis The Art of Problem Posing by : Stephen I. Brown

Download or read book The Art of Problem Posing written by Stephen I. Brown and published by Psychology Press. This book was released on 2005-01-15 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book encourages readers to shift their thinking about problem posing from the "other" to themselves (i.e. that they can develop problems themselves) and offers a broader conception of what can be done with problems.

121 Heuristics for Solving Problems

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Publisher : Lulu.com
ISBN 13 : 1411616898
Total Pages : 348 pages
Book Rating : 4.4/5 (116 download)

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Book Synopsis 121 Heuristics for Solving Problems by : Marco Aurelio de Carvalho

Download or read book 121 Heuristics for Solving Problems written by Marco Aurelio de Carvalho and published by Lulu.com. This book was released on 2004-11-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Creative solutions are easily recognizable, after they have been created. But how to attain them? This book is about a promising approach to creative problem solving - the use of heuristics. The main purpose of an heuristic is to make problem solving more efficient, by making past experience - which could guide the generation of new solutions - promptly available. The heuristic approach is widely used in TRIZ (the Theory of Inventive Problem Solving), which is becoming increasingly popular worldwide. Successful results of using heuristics have been reported by companies such as ABB, Bosch, General Motors, Ford, Mitsubishi, Philips, Siemens, among others. With this book, the reader will be able to: - Understand the 121 Heuristics for problem solving, both from their descriptions and from selected examples; - Find the more promising Heuristic(s) for the solution of his/her problems; - Apply the heuristics and find creative solutions to his/her problems.

Teaching and Learning Mathematical Problem Solving

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Author :
Publisher : Routledge
ISBN 13 : 1136561234
Total Pages : 671 pages
Book Rating : 4.1/5 (365 download)

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Book Synopsis Teaching and Learning Mathematical Problem Solving by : Edward A. Silver

Download or read book Teaching and Learning Mathematical Problem Solving written by Edward A. Silver and published by Routledge. This book was released on 2013-04-03 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.

Investigations in Mathematics Education

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Publisher :
ISBN 13 :
Total Pages : 922 pages
Book Rating : 4.:/5 (39 download)

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Book Synopsis Investigations in Mathematics Education by :

Download or read book Investigations in Mathematics Education written by and published by . This book was released on 1976 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Affect and Mathematical Problem Solving

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Publisher : Springer Science & Business Media
ISBN 13 : 1461236142
Total Pages : 246 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Affect and Mathematical Problem Solving by : Douglas B. McLeod

Download or read book Affect and Mathematical Problem Solving written by Douglas B. McLeod and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Methods of Heuristics

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Publisher : Routledge
ISBN 13 : 1317838491
Total Pages : 431 pages
Book Rating : 4.3/5 (178 download)

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Book Synopsis Methods of Heuristics by : R. Groner

Download or read book Methods of Heuristics written by R. Groner and published by Routledge. This book was released on 2014-07-10 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the edited proceedings of an interdisciplinary symposium on Methods of Heuristics, which was held at the University of Bern, Switzerland, from September 15 to 19, 1980. In organizing the symposium, the editors of the present volume were able to invite specialists from psychology, computer science, and mathematics. From their own perspective they made contributions to the central questions of the conference: What are heuristics, the methods and rules guiding discovery and problem solving in a variety of different fields? How did they develop in individual human beings and in the history of science? Is it possible to arrive at a commonly accepted definition of heuristics as the field unifying all these efforts, and, if yes, what are its basic characteristics?

Effective Mathematics Lessons Through An Eclectic Singapore Approach: Yearbook 2015, Association Of Mathematics Educators

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Publisher : World Scientific
ISBN 13 : 9814696447
Total Pages : 322 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Effective Mathematics Lessons Through An Eclectic Singapore Approach: Yearbook 2015, Association Of Mathematics Educators by : Khoon Yoong Wong

Download or read book Effective Mathematics Lessons Through An Eclectic Singapore Approach: Yearbook 2015, Association Of Mathematics Educators written by Khoon Yoong Wong and published by World Scientific. This book was released on 2015-05-21 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this seventh volume, as part of the series of yearbooks by the Association of Mathematics Educators in Singapore, we aim to provide a range of learning experiences and teaching strategies that mathematics teachers can judiciously select and adapt in order to deliver effective lessons to their students at the primary to secondary level. Our ultimate goal is to develop successful problem solvers who are able to understand concepts, master fundamental skills, reason logically, apply mathematics, enjoy learning, and strategise their thinking. These qualities will prepare students for life-long learning and careers in the 21st century.The materials covered are derived from psychological theories, education praxis, research findings, and mathematics discourse, mediated by the author's professional experiences in mathematics education in four countries over the past four decades. They are organised into ten chapters aligned with the Singapore mathematics curriculum framework to help teachers and educators from Singapore and other countries deepen their understanding about the so-called 'Singapore Maths'.The book strikes a balance between mathematical rigour and pedagogical diversity, without rigid adherence to either. This is relevant to the current discussion about the relative roles of mathematics content knowledge and pedagogical content knowledge in effective teaching. It also encourages teachers to develop their own philosophy and teaching styles so that their lessons are effective, efficient, and enjoyable to teach.

Problem Solving in Mathematics Instruction and Teacher Professional Development

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Publisher : Springer Nature
ISBN 13 : 3030292150
Total Pages : 418 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Problem Solving in Mathematics Instruction and Teacher Professional Development by : Patricio Felmer

Download or read book Problem Solving in Mathematics Instruction and Teacher Professional Development written by Patricio Felmer and published by Springer Nature. This book was released on 2019-11-22 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the role of teachers in problem-solving classrooms and their professional development, moving onto—secondly—the role of students when solving problems, with particular consideration of factors like group work, discussion, role of students in discussions and the effect of students’ engagement on their self-perception and their view of mathematics. Finally, the book considers the question of problem solving in mathematics instruction as it overlaps with problem design, problem-solving situations, and actual classroom implementation. The volume brings together diverse contributors from a variety of countries and with wide and varied experiences, combining the voices of leading and developing researchers. The book will be of interest to any reader keeping on the frontiers of research in problem solving, more specifically researchers and graduate students in mathematics education, researchers in problem solving, as well as teachers and practitioners.

Mathematics Education

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Publisher : World Scientific
ISBN 13 : 9812833757
Total Pages : 562 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Mathematics Education by : Khoon Yoong Wong

Download or read book Mathematics Education written by Khoon Yoong Wong and published by World Scientific. This book was released on 2009 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title provides much food for thought and pointers to meet future challenges in mathematics education not only within Singapore, but also in other countries.

Mathematical Problem Solving and New Information Technologies

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Publisher : Springer Science & Business Media
ISBN 13 : 3642581420
Total Pages : 361 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Mathematical Problem Solving and New Information Technologies by : Joao P. Ponte

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.

Research in Education

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Publisher :
ISBN 13 :
Total Pages : 1290 pages
Book Rating : 4.3/5 (126 download)

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Book Synopsis Research in Education by :

Download or read book Research in Education written by and published by . This book was released on 1974 with total page 1290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

How the Brain Learns Mathematics

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Author :
Publisher : Corwin Press
ISBN 13 : 1483368459
Total Pages : 257 pages
Book Rating : 4.4/5 (833 download)

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Book Synopsis How the Brain Learns Mathematics by : David A. Sousa

Download or read book How the Brain Learns Mathematics written by David A. Sousa and published by Corwin Press. This book was released on 2014-11-13 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: To reach all your math students, use your brain—and theirs, too! This updated bestseller takes readers to the next level with new brain-friendly strategies backed by the latest research and even more ways to seamlessly incorporate what you learn about your students’ developing minds into your math classroom. Discover the cognitive mechanisms for learning math, explore factors that contribute to learning difficulties, and follow a four-step teaching model that relates classroom experience to real-world applications. Features include: New strategies for motivating adolescents Integration of the arts into mathematics instruction New information on how technology affects attention and memory Expanded sections on number sense and ELL instruction More than 160 new references