Learning Through Problem Solving

Author : Akihiko Takahashi
Publisher : Routledge
Page : 159 pages
File Size : 43,6 Mb
Release : 2021-03-31
Category : Education
ISBN : 9781000359862

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Teaching Mathematics Through Problem-Solving by Akihiko Takahashi Pdf

This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.

Author : Nancy G. Nagel
Publisher : Corwin
Page : 192 pages
File Size : 46,5 Mb
Release : 1996-02
Category : Education
ISBN : UOM:39015037274845

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Learning Through Real-World Problem Solving by Nancy G. Nagel Pdf

With the rapidly expanding knowledge base in this information age, today's teachers are expected to add content to their existing curricula. But what can you add to your students' already full day without leaving out something else? One answer is to integrate teaching and learning into the real world around your school and engage your students in simultaneous learning - in language arts, science, art, mathematics, social studies - while they are trying to solve real problems. Here, Nancy G. Nagel discusses the ways whereby students can participate in directing their own learning while helping to create for themselves relevant learning experiences. The author presents actual cases taken from schools in which students learned while pursuing real-life goals, such as helping to select the optimum land use for property adjacent to their school. She provides examples of successful units, including feedback from students and teachers about the learning and teaching process.

Author : Young Hoan Cho,Imelda S. Caleon,Manu Kapur
Publisher : Springer
Page : 368 pages
File Size : 51,6 Mb
Release : 2015-08-12
Category : Education
ISBN : 9789812875211

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Authentic Problem Solving and Learning in the 21st Century by Young Hoan Cho,Imelda S. Caleon,Manu Kapur Pdf

With the rapid changes in the social, political, economic and technological landscape around the world, today’s learners face a more globally competitive job market after leaving school. The 21st century, which is characterized by the emergence of knowledge-based societies, expects learners to be comfortable in dealing with ambiguities and complexities in the real world and to be able to use knowledge as a tool at their workplace. This book will help readers develop an in-depth understanding of authentic problem solving and learning, and how it can be used to make a difference in their school or learning communities for the development of 21st century competencies. Comprising 20 chapters written by Singapore-based and international authors, the book is organized into three themes: authentic problems, authentic practices, and authentic participation. It details innovative school practices (e.g. productive failure) concerning the design of problems, learning activities, learning environments, and ICT tools for authentic problem solving and learning. Along with theoretical explanations of authentic learning processes and outcomes, the book also elucidates how students learn by generating and exploring solutions to complex problems and which cognitive functions are needed at different stages of problem-based learning. Presenting coherent descriptions of instructional design principles, successful cases and challenges encountered in K-12 schools and learning communities, the book provides useful information, new insights, and practical guidance for school directors, parents, teachers and researchers seeking to develop authentic learning environments for 21st century learners.

Author : Alicia Burdess
Publisher : Unknown
Page : 56 pages
File Size : 55,5 Mb
Release : 2021-07-16
Category : Electronic
ISBN : 1039110231

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The Dragon Curve by Alicia Burdess Pdf

Aiyana finds a long, skinny strip of paper on the ground that looks like a road. As she follows the road, she folds the paper in half, and it becomes a mountain for her to climb. With every fold, she makes a new shape, one that fuels her curiosity in wonderful ways and takes her on a magical journey into the world of fractals. This is a beautiful story about the power of imagination, mathematics, and the world around us. It is a chance for readers of all ages to catch a glimpse of the beauty of math and inspire the joy of their own inner mathematician. Fold along with Aiyana and see the magic unfold!

Author : Murad Jurdak
Publisher : Springer
Page : 199 pages
File Size : 50,5 Mb
Release : 2016-05-30
Category : Education
ISBN : 9783319082042

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Learning and Teaching Real World Problem Solving in School Mathematics by Murad Jurdak Pdf

The ultimate aim of this book is to identify the conceptual tools and the instructional modalities which enable students and teachers to cross the boundary between school mathematics and real world problem solving. The book identifies, examines, and integrates seven conceptual tools, of which five are constructs (activity theory, narrative, modeling, critical mathematics education, ethnomathematics) and two are contexts (STEM and the workplace). The author develops two closely linked multiple-perspective frameworks: one for learning real world problem solving in school mathematics, which sets the foundations of learning real world problem solving in school mathematics; and one for teaching real world problem solving in school mathematics, which explores the modalities of teaching real world problem solving in school mathematics. “The book is composed as, on the one hand, a high-level theoretical scholarly work on real world problem solving in school mathematics, and, on the other hand, a set of twelve narratives which, put together, constitute a thought-provoking and moving personal and professional autobiography.” - Mogens Niss “These narratives combine aspects of Murad’s personal trajectory as an individual with those points in his professional career at which he became aware of perspectives on and approaches to mathematics education that were both significant in and of themselves, and instrumental for the specific scholarly endeavor presented in the book.” - Mogens Niss

Author : Oliver Lovell,Tom Sherrington
Publisher : Hachette UK
Page : 186 pages
File Size : 55,9 Mb
Release : 2020-10-23
Category : Education
ISBN : 9781913808440

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Sweller's Cognitive Load Theory in Action by Oliver Lovell,Tom Sherrington Pdf

What is it that enables students to learn from some classroom activities, yet leaves them totally confused by others? Although we can't see directly into students' minds, we do have Cognitive Load Theory, and this is the next best thing. Built on the foundation of all learning, the human memory system, Cognitive Load Theory details the exact actions that teachers can take to maximise student outcomes.Written under the guidance, and thoroughly reviewed by the originator of CLT, John Sweller, this practical guide summarises over 30 years of research in this field into clear and easily understandable terms. This book features both a thorough discussion of the core principles of CLT and a wide array of classroom-ready strategies to apply it to art, music, history, chemistry, PE, mathematics, computer science, economics, biology, and more.

Author : OECD
Publisher : OECD Publishing
Page : 272 pages
File Size : 48,7 Mb
Release : 2017-04-11
Category : Electronic
ISBN : 9789264273955

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Educational Research and Innovation The Nature of Problem Solving Using Research to Inspire 21st Century Learning by OECD Pdf

Solving non-routine problems is a key competence in a world full of changes, uncertainty and surprise where we strive to achieve so many ambitious goals. But the world is also full of solutions because of the extraordinary competences of humans who search for and find them.

Author : David H. Jonassen
Publisher : Routledge
Page : 472 pages
File Size : 41,7 Mb
Release : 2010-09-13
Category : Education
ISBN : 9781136941887

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Learning to Solve Problems by David H. Jonassen Pdf

This book provides a comprehensive, up-to-date look at problem solving research and practice over the last fifteen years. The first chapter describes differences in types of problems, individual differences among problem-solvers, as well as the domain and context within which a problem is being solved. Part one describes six kinds of problems and the methods required to solve them. Part two goes beyond traditional discussions of case design and introduces six different purposes or functions of cases, the building blocks of problem-solving learning environments. It also describes methods for constructing cases to support problem solving. Part three introduces a number of cognitive skills required for studying cases and solving problems. Finally, Part four describes several methods for assessing problem solving. Key features includes: Teaching Focus – The book is not merely a review of research. It also provides specific research-based advice on how to design problem-solving learning environments. Illustrative Cases – A rich array of cases illustrates how to build problem-solving learning environments. Part two introduces six different functions of cases and also describes the parameters of a case. Chapter Integration – Key theories and concepts are addressed across chapters and links to other chapters are made explicit. The idea is to show how different kinds of problems, cases, skills, and assessments are integrated. Author expertise – A prolific researcher and writer, the author has been researching and publishing books and articles on learning to solve problems for the past fifteen years. This book is appropriate for advanced courses in instructional design and technology, science education, applied cognitive psychology, thinking and reasoning, and educational psychology. Instructional designers, especially those involved in designing problem-based learning, as well as curriculum designers who seek new ways of structuring curriculum will find it an invaluable reference tool.

Author : Shalini Wadhwa
Publisher : Sarup & Sons
Page : 312 pages
File Size : 47,8 Mb
Release : 2005
Category : Education
ISBN : 8176256072

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Teaching and Learning through Problem Solving Methods by Shalini Wadhwa Pdf

Author : Helen Askell-Williams,Janice Orrell
Publisher : Routledge
Page : 284 pages
File Size : 41,5 Mb
Release : 2019-06-26
Category : Education
ISBN : 9780429684098

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Problem Solving for Teaching and Learning by Helen Askell-Williams,Janice Orrell Pdf

Problem Solving for Teaching and Learning explores the importance of problem solving to learning in everyday personal and social contexts. This book is divided into four sections: Setting the scene; Conceptualising problem solving; Teachers’ knowledge and beliefs about problem solving; and Fostering students’ problem-solving capabilities, allowing readers to gain an insight into the various sub-topics that problem solving in learning and teaching introduce. Drawing together diverse perspectives on problem solving located in a variety of educational settings, this book explores problem solving theory, including its cognitive architecture, as well as attending to its translation into teaching and learning in a range of settings, such as education and social environments. This book also suggests how effective problem-solving activities can be incorporated more explicitly in learning and teaching and examines the benefits of this approach. The ideas developed in Problem Solving for Teaching and Learning will act as a catalyst for transforming practices in teaching, learning, and social engagement in formal and informal educational settings, making this book an essential read for education academics and students specialising in cognitive psychology, educational psychology, and problem solving.

Author : Cindy E. Hmelo,Susan M. Williams
Publisher : Psychology Press
Page : 180 pages
File Size : 41,5 Mb
Release : 2014-02-24
Category : Psychology
ISBN : 9781317759089

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Learning Through Problem Solving by Cindy E. Hmelo,Susan M. Williams Pdf

The articles in this special issue represent the findings of researchers working in classroom settings to explore key issues in learning through problem solving. Although they vary in the domains being studied, the age of students, and the methods they employ, there are numerous common themes that can inform both theory and practice. The authors have grappled with the complex task of putting problem-based curricula into practice. They report here the difficulties they faced, the factors contributing to their successes, and the lessons they have learned.

Author : Peter Liljedahl,Manuel Santos-Trigo,Uldarico Malaspina,Regina Bruder
Publisher : Springer
Page : 46 pages
File Size : 46,5 Mb
Release : 2016-06-27
Category : Education
ISBN : 9783319407302

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Problem Solving in Mathematics Education by Peter Liljedahl,Manuel Santos-Trigo,Uldarico Malaspina,Regina Bruder Pdf

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.

Author : George Pólya
Publisher : Princeton University Press
Page : 288 pages
File Size : 44,7 Mb
Release : 2014
Category : Mathematics
ISBN : 9780691164076

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How to Solve it by George Pólya Pdf

"Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.

Author : Daniel Kenneth Apple,Steven W. Beyerlein,Mark A. Schlesinger
Publisher : Unknown
Page : 394 pages
File Size : 40,8 Mb
Release : 1992-01-01
Category : Decision making
ISBN : 1878437208

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Learning Through Problem Solving by Daniel Kenneth Apple,Steven W. Beyerlein,Mark A. Schlesinger Pdf

Author : Peter Liljedahl,Manuel Santos-Trigo
Publisher : Springer
Page : 362 pages
File Size : 47,7 Mb
Release : 2019-02-12
Category : Education
ISBN : 9783030104726

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Mathematical Problem Solving by Peter Liljedahl,Manuel Santos-Trigo Pdf

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.