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Author : National Council of Teachers of Mathematics
Publisher : Routledge
Page : 304 pages
File Size : 40,8 Mb
Release : 1988
Category : Education
ISBN : STANFORD:36105005082065
Author : National Council of Teachers of Mathematics
Publisher : Lawrence Erlbaum Associates
Page : 282 pages
File Size : 42,8 Mb
Release : 1989
Category : Problem solving
ISBN : 0805807373
Author : Peter Liljedahl,Manuel Santos-Trigo
Publisher : Springer
Page : 362 pages
File Size : 50,5 Mb
Release : 2019-02-12
Category : Education
ISBN : 9783030104726
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.
Author : Alfred S. Posamentier,Stephen Krulik
Publisher : Corwin Press
Page : 281 pages
File Size : 40,7 Mb
Release : 2008-03-20
Category : Education
ISBN : 9781452295572
"The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." —Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." —Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods—including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation—make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6–12 helps teachers develop students′ creative problem-solving skills for success in and out of school.
Author : Alfred S. Posamentier,Stephen Krulik
Publisher : Corwin Press
Page : 153 pages
File Size : 51,8 Mb
Release : 2009-02-25
Category : Education
ISBN : 9781452272610
"Demonstrates problem solving strategies with solutions and teaching notes and allows the teacher to create a collection of problems to fit a particular grade level." —Janice L. Richardson, Associate Professor and Education Coordinator, Department of Mathematics Elon University Help students succeed as problem solvers in and out of the classroom! Problem solving skills are critical to students′ success in mathematics, but the techniques can′t be caught; they must be taught. Based on the premise that educators must take a deliberate approach to the teaching of problem solving skills, this book helps teachers engage students in the process. Problem Solving in Mathematics, Grades 3–6 stresses the importance of problem solving in mathematics and presents nine strategies that students can use to solve problems, such as working backwards, finding a pattern, making a drawing, or solving a simpler equivalent problem. Each chapter demonstrates how teachers can: Apply the strategies to problems at different grade levels Incorporate these strategies into a mathematics program Understand how each strategy can be applied to real-life situations Make each strategy an integral part of students′ thinking processes With helpful teaching notes, sample problems for students that fit into any mathematics curriculum, and step-by-step solutions to sample problems, this book is perfect for teachers who want their students to succeed in mathematics!
Author : Gojak, Linda
Publisher : Shell Education
Page : 242 pages
File Size : 44,6 Mb
Release : 2017-03-01
Category : Education
ISBN : 9781618139252
Dig into problem solving and reflect on current teaching practices with this exceptional resource. Meaningful instructional tools and methods are provided to help teachers understand each problem solving strategy and how to use it with their students. Teachers are given opportunities to practice problems themselves and reflect on how they can better integrate problem solving into their instruction. This resource supports College and Career Readiness Standards.
Author : Edward A. Silver
Publisher : Routledge
Page : 671 pages
File Size : 44,9 Mb
Release : 2013-04-03
Category : Education
ISBN : 9781136561238
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.
Author : Florence Mihaela Singer,Nerida F. Ellerton,Jinfa Cai
Publisher : Springer
Page : 587 pages
File Size : 53,9 Mb
Release : 2015-06-12
Category : Education
ISBN : 9781461462583
The mathematics education community continues to contribute research-based ideas for developing and improving problem posing as an inquiry-based instructional strategy for enhancing students’ learning. A large number of studies have been conducted which have covered many research topics and methodological aspects of teaching and learning mathematics through problem posing. The Authors' groundwork has shown that many of these studies predict positive outcomes from implementing problem posing on: student knowledge, problem solving and posing skills, creativity and disposition toward mathematics. This book examines, in-depth, the contribution of a problem posing approach to teaching mathematics and discusses the impact of adopting this approach on the development of theoretical frameworks, teaching practices and research on mathematical problem posing over the last 50 years.
Author : Pat Lilburn,Alex Ciurak
Publisher : Math Solutions
Page : 156 pages
File Size : 46,7 Mb
Release : 2010
Category : Education
ISBN : 9781935099147
Provides opportunities for engaging, differentiated, open-ended problem-solving experiences. Features more than two hundred tasks grouped by content standards that reflect the NCTM Standards and the NCTM Curriculum Focal Points.
Author : Cooper, Barry,Dunne, Mairead
Publisher : McGraw-Hill Education (UK)
Page : 236 pages
File Size : 42,5 Mb
Release : 1999-12-01
Category : Education
ISBN : 9780335203161
'this work is highly relevant to the proliferation of accountability measures worldwide' James Scheurich and Douglas Foley In many countries, the lives of teachers and children are increasingly dominated by programmes of national testing of mathematics and other subjects. In England, the majority of the items in such tests have set mathematical tasks in every day situations such as 'shopping'. This requires children to make decisions about whether to use or not their own every day knowledge and experience in their problem-solving. Some children are likely to have a better 'feel for this game' than others. Assessing Children's Mathematical Knowledge draws on the analysis of national curriculum test data from more than 600 children of 10-11 and 13-14 years of age, as well as in-depth interviews with 250 of these as they attempt to solve test problems, in order to explore the nature of the difficulties children experience with 'realistic' items. The book shows, by comparing test and interview data, that many children, as a consequence of their confusion over the requirements of 'realistic' test items, fail in tests to demonstrate mathematical knowledge and understanding that they actually possess. The book also explores whether this problem of invalid measurement is equally spread across children from different social backgrounds, and across the sexes. The book will be of interest to academics and teachers studying for advanced degrees in mathematics education, sociology of education and educational assessment.
Author : Edward A. Silver
Publisher : Routledge
Page : 485 pages
File Size : 45,7 Mb
Release : 2013-04-03
Category : Education
ISBN : 9781136561160
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.
Author : ALAN H. SCHOENFELD
Publisher : Academic Press
Page : 434 pages
File Size : 51,9 Mb
Release : 1985-10-28
Category : Education
ISBN : MINN:31951000606664R
Mathematical Problem Solving provides information pertinent to the nature of mathematical thinking at any level. This book provides a framework for the analysis of complex problem-solving behavior. Organized into two parts encompassing 10 chapters, this book begins with an overview of the four qualitatively different aspects of complex intellectual activity, namely, cognitive resources, heuristics, control, and belief systems. This text then presents a series of empirical investigations that flesh out the analytical framework. Other chapters consider the ways that competent problem solvers make the most of the knowledge at their disposal. This book discusses as well the kind s of learning that can result from carefully designed instruction. The final chapter deals with observations made in typical high school classrooms, which serve to indicate some of the sources of students' mathematical behavior. This book is a valuable resource for mathematicians and mathematics teachers. Readers who are interested in higher-order thinking skills in any domain will also find this book useful.
Author : Berinderjeet Kaur,Ban Har Yeap,Manu Kapur
Publisher : World Scientific
Page : 287 pages
File Size : 41,7 Mb
Release : 2009
Category : Education
ISBN : 9789814277204
This book is the first in the series of the yearbooks of the Association of Mathematics Educators in Singapore. It is highly unique as it addresses a focused theme of mathematics education. The chapters of the book, illustrate the immense diversity within the theme and presents research that translates into classroom pedagogies. The thirteen chapters of the book illustrate how mathematical problems may be crafted and infused in classroom teaching. Several novel pedagogies, such as learning mathematics through productive failure, problem posing and generative activities are presented in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers of mathematics. The book is an invaluable contribution towards the already established field of research of mathematical problem solving. It is also a must read for graduate research students and mathematics educators.
Author : Marian Small
Publisher : Teachers College Press
Page : 129 pages
File Size : 53,9 Mb
Release : 2017
Category : Education
ISBN : 9780807775882
This new resource by math education expert Marian Small helps schools and districts to refine their teaching of standards-based mathematical practices. Small devotes a chapter to each of the eight standards of practice and includes a discussion of what each standard looks like in grades K–2, 3–5, and 6–8. Specific attention is given to helping students make sense of problems and persevere in solving them (Standard 1) and to encouraging students to create viable mathematical arguments and to effectively and respectfully critique the reasoning of others (Standard 3). The author also discusses how to formatively assess student performance for each practice standard. To provide additional support to U.S. teachers in their instructional planning, this resource includes attention to the Canadian math processes of visualization and mental math and estimation. “Whether you are a new teacher or a seasoned educator, this book will enrich your abilities to develop your students' mathematical thinking.” —From the Foreword by Linda Dacey, professor emerita, Mathematics, Lesley University “One of the best ways to prepare students for their futures is to teach mathematical thinking. Marian Small shows us the way with powerful tasks, probing questions, and incredible student work samples. This is the book I have been looking for and is definitely a must-have for every teacher.” —Ruth Harbin Miles, Mary Baldwin University
Author : Tin Lam Toh
Publisher : World Scientific
Page : 165 pages
File Size : 40,5 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814355001
This book is the first of its kind, as it includes both mathematics content and pedagogy. It is a professional instructional manual on how mathematical problem solving curriculum can be implemented in the classrooms. The book develops from the theoretical work of Polya and Schoenfeld, and explicates how these can be translated to the actual implementation in schools. It represents the work of a group of researchers from the Singapore National Institute of Education, after experimenting with it in the Singapore school classrooms. This book includes a set of scheme of work, lesson plans and a choice of mathematics problems that teachers can actually use in teaching problem solving. Certain pedagogical considerations are developed and suggested in this book. In addition, the book includes an assessment framework on how mathematical problem solving can be assessed.
