Learning Through Problem Solving

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Teaching Mathematics Through Problem-Solving

Author : Akihiko Takahashi
Publisher : Routledge
ISBN 13 : 1000359867
Total Pages : 159 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Teaching Mathematics Through Problem-Solving by : Akihiko Takahashi

Download or read book Teaching Mathematics Through Problem-Solving written by Akihiko Takahashi and published by Routledge. This book was released on 2021-03-31 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sweller's Cognitive Load Theory in Action

Author : Oliver Lovell
Publisher : Hachette UK
ISBN 13 : 1913808440
Total Pages : 186 pages
Book Rating : 4.9/5 (138 download)

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Book Synopsis Sweller's Cognitive Load Theory in Action by : Oliver Lovell

Download or read book Sweller's Cognitive Load Theory in Action written by Oliver Lovell and published by Hachette UK. This book was released on 2020-10-23 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Cambridge Handbook of Cognition and Education

Author : John Dunlosky
Publisher : Cambridge University Press
ISBN 13 : 1108245102
Total Pages : 1130 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis The Cambridge Handbook of Cognition and Education by : John Dunlosky

Download or read book The Cambridge Handbook of Cognition and Education written by John Dunlosky and published by Cambridge University Press. This book was released on 2019-02-07 with total page 1130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook reviews a wealth of research in cognitive and educational psychology that investigates how to enhance learning and instruction to aid students struggling to learn and to advise teachers on how best to support student learning. The Handbook includes features that inform readers about how to improve instruction and student achievement based on scientific evidence across different domains, including science, mathematics, reading and writing. Each chapter supplies a description of the learning goal, a balanced presentation of the current evidence about the efficacy of various approaches to obtaining that learning goal, and a discussion of important future directions for research in this area. It is the ideal resource for researchers continuing their study of this field or for those only now beginning to explore how to improve student achievement.

Learning to Solve Problems

Author : David H. Jonassen
Publisher : Routledge
ISBN 13 : 1136941886
Total Pages : 615 pages
Book Rating : 4.1/5 (369 download)

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Book Synopsis Learning to Solve Problems by : David H. Jonassen

Download or read book Learning to Solve Problems written by David H. Jonassen and published by Routledge. This book was released on 2010-09-13 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Authentic Problem Solving and Learning in the 21st Century

Author : Young Hoan Cho
Publisher :
ISBN 13 : 9789812875228
Total Pages : pages
Book Rating : 4.8/5 (752 download)

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Book Synopsis Authentic Problem Solving and Learning in the 21st Century by : Young Hoan Cho

Download or read book Authentic Problem Solving and Learning in the 21st Century written by Young Hoan Cho and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Teaching Mathematics through Problem-Solving in K–12 Classrooms

Author : Matthew Oldridge
Publisher : Rowman & Littlefield
ISBN 13 : 1475843348
Total Pages : 135 pages
Book Rating : 4.4/5 (758 download)

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Book Synopsis Teaching Mathematics through Problem-Solving in K–12 Classrooms by : Matthew Oldridge

Download or read book Teaching Mathematics through Problem-Solving in K–12 Classrooms written by Matthew Oldridge and published by Rowman & Littlefield. This book was released on 2018-10-31 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Teaching through problem-solving” is a commonly used phrase for mathematics educators. This book shows how to use worthwhile and interesting mathematics tasks and problems to build a classroom culture based on students’ reasoning and thinking. It develops a set of axioms about problem-solving classrooms to show teachers that mathematics is playful and engaging. It presents an aspirational vision for school mathematics, one which all teachers can bring into being in their classrooms.

Visible Learning for Mathematics, Grades K-12

Author : John Hattie
Publisher : Corwin Press
ISBN 13 : 1506362958
Total Pages : 209 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Visible Learning for Mathematics, Grades K-12 by : John Hattie

Download or read book Visible Learning for Mathematics, Grades K-12 written by John Hattie and published by Corwin Press. This book was released on 2016-09-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected as the Michigan Council of Teachers of Mathematics winter book club book! Rich tasks, collaborative work, number talks, problem-based learning, direct instruction...with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in "visible" learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.

Problem-Solving Through Problems

Author : Loren C. Larson
Publisher : Springer Science & Business Media
ISBN 13 : 1461254981
Total Pages : 322 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Problem-Solving Through Problems by : Loren C. Larson

Download or read book Problem-Solving Through Problems written by Loren C. Larson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

Problem Solving in Mathematics Education

Author : Peter Liljedahl
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.

What's Your Math Problem!?! Getting to the Heart of Teaching Problem Solving

Author : Linda Gojak
Publisher : Teacher Created Materials
ISBN 13 : 9781425807887
Total Pages : 244 pages
Book Rating : 4.8/5 (78 download)

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Book Synopsis What's Your Math Problem!?! Getting to the Heart of Teaching Problem Solving by : Linda Gojak

Download or read book What's Your Math Problem!?! Getting to the Heart of Teaching Problem Solving written by Linda Gojak and published by Teacher Created Materials. This book was released on 2011-04-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides instructional tools and methods to help teachers understand various problem solving strategies and discusses how to use each strategy with students.

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

Author : OECD
Publisher : OECD Publishing
ISBN 13 : 9264273956
Total Pages : 276 pages
Book Rating : 4.2/5 (642 download)

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

Download or read book Educational Research and Innovation The Nature of Problem Solving Using Research to Inspire 21st Century Learning written by OECD and published by OECD Publishing. This book was released on 2017-04-11 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Powerful Problem Solving

Author : Max Ray
Publisher : Heinemann Educational Books
ISBN 13 : 9780325050904
Total Pages : 0 pages
Book Rating : 4.0/5 (59 download)

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Book Synopsis Powerful Problem Solving by : Max Ray

Download or read book Powerful Problem Solving written by Max Ray and published by Heinemann Educational Books. This book was released on 2013 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we break the cycle of frustrated students who "drop out of math" because the procedures just don't make sense to them? Or who memorize the procedures for the test but don't really understand the mathematics? Max Ray-Riek and his colleagues at the Math Forum @ Drexel University say "problem solved," by offering their collective wisdom about how students become proficient problem solvers, through the lens of the CCSS for Mathematical Practices. They unpack the process of problem solving in fresh new ways and turn the Practices into activities that teachers can use to foster habits of mind required by the Common Core: communicating ideas and listening to the reflections of others estimating and reasoning to see the "big picture" of a problem organizing information to promote problem solving using modeling and representations to visualize abstract concepts reflecting on, revising, justifying, and extending the work. Powerful Problem Solving shows what's possible when students become active doers rather than passive consumers of mathematics. Max argues that the process of sense-making truly begins when we create questioning, curious classrooms full of students' own thoughts and ideas. By asking "What do you notice? What do you wonder?" we give students opportunities to see problems in big-picture ways, and discover multiple strategies for tackling a problem. Self-confidence, reflective skills, and engagement soar, and students discover that the goal is not to be "over and done," but to realize the many different ways to approach problems. Read a sample chapter.

The Dragon Curve

Author : Alicia Burdess
Publisher :
ISBN 13 : 9781039110236
Total Pages : 56 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis The Dragon Curve by : Alicia Burdess

Download or read book The Dragon Curve written by Alicia Burdess and published by . This book was released on 2021-07-16 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!

Metacognition in Learning

Author : Nosisi Feza
Publisher : BoD – Books on Demand
ISBN 13 : 1789851130
Total Pages : 166 pages
Book Rating : 4.7/5 (898 download)

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Book Synopsis Metacognition in Learning by : Nosisi Feza

Download or read book Metacognition in Learning written by Nosisi Feza and published by BoD – Books on Demand. This book was released on 2019-12-11 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metacognition skills have been proven to have a positive relationship with learning. The strength of metacognition relies heavily on self-efficacy where a student understands his/her learning style, and the ability to use information gathered and align it with his/her learning style. In addition, knowing what you know and how you know it as a student plays a huge role in knowing what you do not know and linking it with what is close or relevant to it, that you know. It is about having skills and knowledge that empowers you to be an independent learner. Literature on classroom practices show a number of short-comings in diverse areas such as poor teacher knowledge, overcrowded classrooms, and lack of resources for learning. An independent student will strive under such an environment by studying independently, searching for resources, and finding multimodal ways of learning. It is also important to note that naturally, human beings are curious and want to learn in order to conquer their world. Hence, Piaget's work of intellectual autonomy cannot be ignored when exploring metacognition. If learning experiences were ideal and developmental, they would be no need to nurture metacognition. Unfortunately, the education systems remove students' curiosity by bringing fake environments into learning that impede creation and imagination. This book emphasises the power of metacognition at different levels of learning. It can be seen as a parallel intervention approach, with expanded knowledge on how to extend existing skills for young children, which is a pre-intervention. Authors in this book bring diverse viewpoints from diverse fields on how to nurture metacognition, thus giving the reader an opportunity to borrow strategies from other fields. This contribution is a mixture of empirical contributions and opinion pieces informed by review of literature.

The Art and Science of Teaching

Author : Robert J. Marzano
Publisher : ASCD
ISBN 13 : 1416606580
Total Pages : 233 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis The Art and Science of Teaching by : Robert J. Marzano

Download or read book The Art and Science of Teaching written by Robert J. Marzano and published by ASCD. This book was released on 2007 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a model for ensuring quality teaching that balances the necessity of research-based data with the equally vital need to understand the strengths and weaknesses of individual students.

Mathematical Problem Solving

Author : ALAN H. SCHOENFELD
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.

The Power of Problem-based Learning

Author : Barbara J. Duch
Publisher : Stylus Pub Llc
ISBN 13 : 9781579220365
Total Pages : 274 pages
Book Rating : 4.2/5 (23 download)

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Book Synopsis The Power of Problem-based Learning by : Barbara J. Duch

Download or read book The Power of Problem-based Learning written by Barbara J. Duch and published by Stylus Pub Llc. This book was released on 2001-01-01 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problem-based learning is a powerful classroom process, which uses real world problems to motivate students to identify and apply research concepts and information, work collaboratively and communicate effectively. It is a strategy that promotes life-long habits of learning.The University of Delaware is recognized internationally as a center of excellence in the use and development of PBL. This book presents the cumulative knowledge and practical experience acquired over nearly a decade of integrating PBL in courses in a wide range of disciplines.This "how to" book for college and university faculty. It focuses on the practical questions which anyone wishing to embark on PBL will want to know: "Where do I start?"???"How do you find problems?"???"What do I need to know about managing groups?"???"How do you grade in a PBL course?"The book opens by outlining how the PBL program was developed at the University of Delaware--covering such issues as faculty mentoring and institutional support--to offer a model for implementation for other institutions.The authors then address the practical questions involved in course transformation and planning for effective problem-based instruction, including writing problems, using the Internet, strategies for using groups, the use of peer tutors and assessment. They conclude with case studies from a variety of disciplines, including biochemistry, pre-law, physics, nursing, chemistry, political science and teacher educationThis introduction for faculty, department chairs and faculty developers will assist them to successfully harness this powerful process to improve learning outcomes.