Teaching Mathematics Through Problem-Solving

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Author :
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.

Problem-Solving Through Problems

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461254981
Total Pages : 352 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 352 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.

Learning Through Real-World Problem Solving

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Author :
Publisher : Corwin
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Learning Through Real-World Problem Solving by : Nancy G. Nagel

Download or read book Learning Through Real-World Problem Solving written by Nancy G. Nagel and published by Corwin. This book was released on 1996-02 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sweller's Cognitive Load Theory in Action

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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.

Authentic Problem Solving and Learning in the 21st Century

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Author :
Publisher : Springer
ISBN 13 : 9812875212
Total Pages : 368 pages
Book Rating : 4.8/5 (128 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 Springer. This book was released on 2015-08-12 with total page 368 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.

Learning and Teaching Real World Problem Solving in School Mathematics

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Author :
Publisher : Springer
ISBN 13 : 3319082043
Total Pages : 199 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Learning and Teaching Real World Problem Solving in School Mathematics by : Murad Jurdak

Download or read book Learning and Teaching Real World Problem Solving in School Mathematics written by Murad Jurdak and published by Springer. This book was released on 2016-05-30 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Learning to Solve Problems

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Author :
Publisher : Routledge
ISBN 13 : 1136941886
Total Pages : 472 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 472 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.

What If?

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Author :
Publisher : ASCD
ISBN 13 : 1416627138
Total Pages : 224 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis What If? by : Ronald A. Beghetto

Download or read book What If? written by Ronald A. Beghetto and published by ASCD. This book was released on 2018-08-28 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: If a fundamental goal of schooling is to prepare young people for the unknowable future, why do we assign students so many clearly defined tasks with predetermined solutions? According to educator and creativity expert Ronald A. Beghetto, the best way to unleash students' problem solving and creativity—and thus prepare them to face real-world problems—is to incorporate complex challenges that teach students to respond productively to uncertainty. In this thought-provoking book, Beghetto explains How to foster "possibility thinking" to help students open up their thinking in creative, sometimes counterintuitive ways. The process of lesson unplanning, a way of transforming existing lessons, activities, and assignments into more complex classroom challenges. Four basic action principles that teachers and students can use to design and solve complex challenges both inside and outside the classroom. The steps for creating legacy challenges, which require students to identify a problem, develop a solution, and ensure that their work makes a lasting contribution. With planning forms and detailed sample activities, this practical guide will enable teachers at every grade level to design a full range of challenges in any subject area. Invite uncertainty into your classroom—and discover what your students are capable of.

Teaching Mathematics through Problem-Solving in K–12 Classrooms

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Author :
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.

The Cambridge Handbook of Cognition and Education

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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.

Everyday Problem-based Learning

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Author :
Publisher : ASCD
ISBN 13 : 1416624740
Total Pages : 143 pages
Book Rating : 4.4/5 (166 download)

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Book Synopsis Everyday Problem-based Learning by : Brian M. Pete

Download or read book Everyday Problem-based Learning written by Brian M. Pete and published by ASCD. This book was released on 2017 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Cover" -- "Title page" -- "Copyright" -- "TOC" -- "Preface" -- "Introduction" -- "1. Develop Questions " -- "2. Launch Scenario" -- "3. Gather Information" -- "4. Organize Information" -- "5. Create Evidence" -- "6. Present Findings" -- "7. Assess Learning" -- "Afterword" -- "References" -- "Index.

The Dragon Curve

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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!

Whole Novels for the Whole Class

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Publisher : John Wiley & Sons
ISBN 13 : 1118526503
Total Pages : 377 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Whole Novels for the Whole Class by : Ariel Sacks

Download or read book Whole Novels for the Whole Class written by Ariel Sacks and published by John Wiley & Sons. This book was released on 2013-10-21 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Work with students at all levels to help them read novels Whole Novels is a practical, field-tested guide to implementing a student-centered literature program that promotes critical thinking and literary understanding through the study of novels with middle school students. Rather than using novels simply to teach basic literacy skills and comprehension strategies, Whole Novels approaches literature as art. The book is fully aligned with the Common Core ELA Standards and offers tips for implementing whole novels in various contexts, including suggestions for teachers interested in trying out small steps in their classrooms first. Includes a powerful method for teaching literature, writing, and critical thinking to middle school students Shows how to use the Whole Novels approach in conjunction with other programs Includes video clips of the author using the techniques in her own classroom This resource will help teachers work with students of varying abilities in reading whole novels.

Teaching for Tomorrow

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Publisher : Corwin Press
ISBN 13 : 9781412913843
Total Pages : 114 pages
Book Rating : 4.9/5 (138 download)

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Book Synopsis Teaching for Tomorrow by : Ted McCain

Download or read book Teaching for Tomorrow written by Ted McCain and published by Corwin Press. This book was released on 2005-02 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: McCain concisely lays out the argument for preparing students for their world, guiding them to become independent and successful critical thinkers.

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

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Author :
Publisher : OECD Publishing
ISBN 13 : 9264273956
Total Pages : 272 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 272 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.

Visible Learning for Mathematics, Grades K-12

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Author :
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.

Creative Problem Solving in the Classroom

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Author :
Publisher :
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Creative Problem Solving in the Classroom by : Joel McIntosh

Download or read book Creative Problem Solving in the Classroom written by Joel McIntosh and published by . This book was released on 1992 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: