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The Teaching And Assessing Of Mathematical Problem Solving
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Book Synopsis The Teaching and Assessing of Mathematical Problem Solving by : National Council of Teachers of Mathematics
Download or read book The Teaching and Assessing of Mathematical Problem Solving written by National Council of Teachers of Mathematics and published by Routledge. This book was released on 1988 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :National Council of Teachers of Mathematics Publisher :Lawrence Erlbaum Associates ISBN 13 :9780805807370 Total Pages :282 pages Book Rating :4.8/5 (73 download)
Book Synopsis Teaching and Assessing of Mathematical Problem Solving (Paper) by : National Council of Teachers of Mathematics
Download or read book Teaching and Assessing of Mathematical Problem Solving (Paper) written by National Council of Teachers of Mathematics and published by Lawrence Erlbaum Associates. This book was released on 1989 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Problem Solving by : Peter Liljedahl
Download or read book Mathematical Problem Solving written by Peter Liljedahl and published by Springer. This book was released on 2019-02-12 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Teaching and Learning Mathematical Problem Solving by : Edward A. Silver
Download or read book Teaching and Learning Mathematical Problem Solving written by Edward A. Silver and published by Routledge. This book was released on 2013-04-03 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Problem Solving in Mathematics, Grades 3-6 by : Alfred S. Posamentier
Download or read book Problem Solving in Mathematics, Grades 3-6 written by Alfred S. Posamentier and published by Corwin Press. This book was released on 2009-02-25 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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!
Book Synopsis What's Your Math Problem!?!: Getting to the Heart of Teaching Problem Solving by : Gojak, Linda
Download or read book What's Your Math Problem!?!: Getting to the Heart of Teaching Problem Solving written by Gojak, Linda and published by Shell Education. This book was released on 2017-03-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematical Problem Posing by : Florence Mihaela Singer
Download or read book Mathematical Problem Posing written by Florence Mihaela Singer and published by Springer. This book was released on 2015-06-12 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 by : Alfred S. Posamentier
Download or read book Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 written by Alfred S. Posamentier and published by Corwin Press. This book was released on 2008-03-20 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Book Synopsis Assessment in Mathematics Education by : Christine Suurtamm
Download or read book Assessment in Mathematics Education written by Christine Suurtamm and published by Springer. This book was released on 2016-07-07 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of current research on a variety of topics related to both large-scale and classroom assessment. First, the purposes, traditions and principles of assessment are considered, with particular attention to those common to all levels of assessment and those more connected with either classroom or large-scale assessment. Assessment design based on sound assessment principles is discussed, differentiating between large-scale and classroom assessment, but also examining how the design principles overlap. The focus then shifts to classroom assessment and provides specific examples of assessment strategies, before examining the impact of large-scale assessment on curriculum, policy, instruction, and classroom assessment. The book concludes by discussing the challenges that teachers currently face, as well as ways to support them. The book offers a common language for researchers in assessment, as well as a primer for those interested in understanding current work in the area of assessment. In summary, it provides the opportunity to discuss large-scale and classroom assessment by addressing the following main themes: ·Purposes, Traditions and Principles of Assessment ·Design of Assessment Tasks ·Classroom Assessment in Action ·Interactions of Large-Scale and Classroom Assessment ·Enhancing Sound Assessment Knowledge and Practices It also suggests areas for future research in assessment in mathematics education.
Book Synopsis Assessing Children'S Mathematical Knowledge by : Cooper, Barry
Download or read book Assessing Children'S Mathematical Knowledge written by Cooper, Barry and published by McGraw-Hill Education (UK). This book was released on 1999-12-01 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: '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.
Book Synopsis Mathematical Problem Solving by : ALAN H. SCHOENFELD
Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD and published by Academic Press. This book was released on 1985-10-28 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Teaching and Learning Mathematical Problem Solving by : Edward A. Silver
Download or read book Teaching and Learning Mathematical Problem Solving written by Edward A. Silver and published by Routledge. This book was released on 2013-04-03 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Mathematics Assessment and Evaluation by : Thomas A. Romberg
Download or read book Mathematics Assessment and Evaluation written by Thomas A. Romberg and published by SUNY Press. This book was released on 1992-01-01 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Are current testing practices consistent with the goals of the reform movement in school mathematics? If not, what are the alternatives? How can authentic performance in mathematics be assessed? These and similar questions about tests and their uses have forced those advocating change to examine the way in which mathematical performance data is gathered and used in American schools. This book provides recent views on the issues surrounding mathematics tests, such as the need for valid performance data, the implications of the Curriculum and Evaluation Standards for School Mathematics for test development, the identification of valid items and tests in terms of the Standards, the procedures now being used to construct a sample of state assessment tests, gender differences in test taking, and methods of reporting student achievement.
Book Synopsis Mathematical Problem Solving by : Berinderjeet Kaur
Download or read book Mathematical Problem Solving written by Berinderjeet Kaur and published by World Scientific. This book was released on 2009 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Teaching Mathematical Thinking by : Marian Small
Download or read book Teaching Mathematical Thinking written by Marian Small and published by Teachers College Press. This book was released on 2017 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Making Mathematics Practical by : Tin Lam Toh
Download or read book Making Mathematics Practical written by Tin Lam Toh and published by World Scientific. This book was released on 2011 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Strategies for Teaching Mathematics by : Deborah V. Mink
Download or read book Strategies for Teaching Mathematics written by Deborah V. Mink and published by Shell Education. This book was released on 2009-07 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Enhance mathematics instruction and build students' understanding of mathematical concepts with this practical, research-based resource. Choose from a wide range of easy-to-implement strategies that enhance mathematics instruction, including developing students' mathematical vocabulary and problem-solving abilities, assessing students' mathematics thinking, and using manipulatives. Highlights include tips on planning instruction and managing the mathematics classroom, plus differentiation strategies for each lesson. This resource is correlated to College and Career Readiness and other state standards.
