Teaching and Learning Mathematical Problem Solving

Teaching and Learning Mathematical Problem Solving PDF Author: Edward A. Silver
Publisher: Routledge
ISBN: 1136561234
Category : Education
Languages : en
Pages : 671

Get Book Here

Book Description
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.

Teaching and Learning Mathematical Problem Solving

Teaching and Learning Mathematical Problem Solving PDF Author: Edward A. Silver
Publisher: Routledge
ISBN: 1136561234
Category : Education
Languages : en
Pages : 671

Get Book Here

Book Description
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.

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.

The Art and Science of Teaching

The Art and Science of Teaching PDF Author: Robert J. Marzano
Publisher: ASCD
ISBN: 1416606580
Category : Education
Languages : en
Pages : 233

Get Book Here

Book Description
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.

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

Get Book Here

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

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

Get Book Here

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.

Learning and Teaching Real World Problem Solving in School Mathematics

Learning and Teaching Real World Problem Solving in School Mathematics PDF Author: Murad Jurdak
Publisher: Springer
ISBN: 3319082043
Category : Education
Languages : en
Pages : 210

Get Book Here

Book Description
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

Learning to Solve Problems PDF Author: David H. Jonassen
Publisher: Routledge
ISBN: 1136941886
Category : Education
Languages : en
Pages : 615

Get Book Here

Book Description
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.

Critical Inquiry and Problem Solving in Physical Education

Critical Inquiry and Problem Solving in Physical Education PDF Author: Lisette Burrows
Publisher: Routledge
ISBN: 1136496769
Category : Sports & Recreation
Languages : en
Pages : 232

Get Book Here

Book Description
Critical inquiry, critical thinking and problem-solving are key concepts in contemporary physical education. But how do physical educators actually do critical inquiry and critical thinking? Critical Inquiry and Problem-Solving in Physical Education explains the principles and assumptions underpinning these concepts and provides detailed examples of how they can be used in the teaching of physical education for different age groups and in a range of different contexts. Topics covered include: sport education and critical thinking dance as critical inquiry media analysis understanding cultural perspectives student-led research and curriculum reflective coaching practice. The authors are teachers, teacher educators, policymakers and academics. Each shares a commitment to the notion that school students can do more than learn to move in physical education classes.

Mathematical Problem Solving

Mathematical Problem Solving PDF Author: ALAN H. SCHOENFELD
Publisher: Elsevier
ISBN: 1483295486
Category : Mathematics
Languages : en
Pages : 426

Get Book Here

Book Description
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.

Teaching Mathematics through Problem-Solving in K–12 Classrooms

Teaching Mathematics through Problem-Solving in K–12 Classrooms PDF Author: Matthew Oldridge
Publisher: Rowman & Littlefield
ISBN: 1475843348
Category : Education
Languages : en
Pages : 135

Get Book Here

Book Description
“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.