Teaching Mathematics Through Problem-Solving

Teaching Mathematics Through Problem-Solving PDF Author: Akihiko Takahashi
Publisher: Routledge
ISBN: 1000359867
Category : Education
Languages : en
Pages : 159

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Book Description
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.

Teaching Mathematics Through Problem-Solving

Teaching Mathematics Through Problem-Solving PDF Author: Akihiko Takahashi
Publisher: Routledge
ISBN: 1000359867
Category : Education
Languages : en
Pages : 159

Get Book Here

Book Description
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.

Using Problem Solving in Teaching and Training

Using Problem Solving in Teaching and Training PDF Author: LeRoy Ford
Publisher: B&H Publishing Group
ISBN: 9780805434156
Category : Employees
Languages : en
Pages : 125

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Book Description


Sweller's Cognitive Load Theory in Action

Sweller's Cognitive Load Theory in Action PDF Author: Oliver Lovell
Publisher: Hachette UK
ISBN: 1913808440
Category : Education
Languages : en
Pages : 186

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Book Description
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.

Problem Solving for Teaching and Learning

Problem Solving for Teaching and Learning PDF Author: Helen Askell-Williams
Publisher: Routledge
ISBN: 0429684096
Category : Education
Languages : en
Pages : 284

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Book Description
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.

Teachers’ Professional Development on Problem Solving

Teachers’ Professional Development on Problem Solving PDF Author: Judit Orgoványi-Gajdos
Publisher: Springer
ISBN: 9463007113
Category : Education
Languages : en
Pages : 141

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Book Description
Since teaching is a practical activity, efficient problem-solving skill is one of the fundamental competencies teachers need to possess. All teachers face challenging school situations during teaching-learning process no matter where they teach or since when. Despite similarities appearing on the surface, every school situation is unique and depends on several internal and external factors that should have been taken into account. Therefore, in many problematic cases it is not enough to deal with the symptoms, but teachers need to go deeper. This book provides a theoretical and practical background for this step-by-step problem solving-oriented thinking process. The practical activities can help teachers to frame and identify their challenges, to analyse the cause and effect of their situation, and also to find their own solutions and strategies. The material in this book can be used in pre-service or in-service teacher training that deal with pedagogic cases, or challenges of teaching and learning processes. However, most of the tools can also be used individually by teachers at any stage of their career, including any type of compulsory education, thanks to the clear description of each technique.

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

What's Your Math Problem!?! Getting to the Heart of Teaching Problem Solving PDF Author: Linda Gojak
Publisher: Teacher Created Materials
ISBN: 9781425807887
Category : Education
Languages : en
Pages : 244

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Book Description
Provides instructional tools and methods to help teachers understand various problem solving strategies and discusses how to use each strategy with students.

Problem Solving in Mathematics Education

Problem Solving in Mathematics Education PDF Author: Peter Liljedahl
Publisher: Springer
ISBN: 3319407309
Category : Education
Languages : en
Pages : 46

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Book Description
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.

Visible Learning for Mathematics, Grades K-12

Visible Learning for Mathematics, Grades K-12 PDF Author: John Hattie
Publisher: Corwin Press
ISBN: 1506362958
Category : Education
Languages : en
Pages : 209

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Book Description
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 and Education

Problem Solving and Education PDF Author: David T. Tuma
Publisher: Lawrence Erlbaum Associates
ISBN:
Category : Education
Languages : en
Pages : 232

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Book Description


Problems and Problem Solving in Chemistry Education

Problems and Problem Solving in Chemistry Education PDF Author: Georgios Tsaparlis
Publisher: Royal Society of Chemistry
ISBN: 1839163593
Category : Education
Languages : en
Pages : 503

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Book Description
Problem solving is central to the teaching and learning of chemistry at secondary, tertiary and post-tertiary levels of education, opening to students and professional chemists alike a whole new world for analysing data, looking for patterns and making deductions. As an important higher-order thinking skill, problem solving also constitutes a major research field in science education. Relevant education research is an ongoing process, with recent developments occurring not only in the area of quantitative/computational problems, but also in qualitative problem solving. The following situations are considered, some general, others with a focus on specific areas of chemistry: quantitative problems, qualitative reasoning, metacognition and resource activation, deconstructing the problem-solving process, an overview of the working memory hypothesis, reasoning with the electron-pushing formalism, scaffolding organic synthesis skills, spectroscopy for structural characterization in organic chemistry, enzyme kinetics, problem solving in the academic chemistry laboratory, chemistry problem-solving in context, team-based/active learning, technology for molecular representations, IR spectra simulation, and computational quantum chemistry tools. The book concludes with methodological and epistemological issues in problem solving research and other perspectives in problem solving in chemistry. With a foreword by George Bodner.