Problem Solving Toward Mathematical Understanding

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Problem Solving Toward Mathematical Understanding

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Author : Renate Ward
language : en
Publisher:
Release Date : 2012

Problem Solving Toward Mathematical Understanding written by Renate Ward and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

Over three decades of data continue to show a lack of mathematical achievement for students of color, minority language speakers, students living in poverty, or those who have learning disabilities (LD). Problem Solving Toward Mathematical Understanding (PSTMU) is designed to teach LD children multiple ways to represent and solve problems, improve reasoning skills, and persevere. Through the use of higher-order questioning, students develop metacognitive awareness helping them monitor the effectiveness of a strategy and to consider different options. PSTMU is designed to develop a deeper understanding of mathematical concepts through scaffolded instruction, peer-talk, teacher-talk, and group discussions. Students come to a shared understanding of the material and observe multiple approaches to solving problems. The curriculum was implemented, evaluated, and revised over seven weeks with a group of nine middle school students in an urban school setting. The students were of low socio-economic background, diverse ethnicities, and all had one or more learning disabilities. Qualitative and quantitative measures were used to determine the effectiveness of this approach. Students' problem solving skills, ability to reason, provide proof, effectively communicate mathematically, and create and use representations in their work was evaluated through a rubric scored by two raters. Observations, class work, and audio recordings were used to support the findings. Surveys and questionnaires were used to rate metacognitive awareness and attitude. The data indicated that all students increased their abilities in two or more of the areas evaluated. The attitudes of six out of the nine students improved and overall students became more flexible in their use of strategies to solve problems.

Introduction To Problem Solving

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Author : Susan O'Connell
language : en
Publisher: Heinemann Educational Books
Release Date : 2007

Introduction To Problem Solving written by Susan O'Connell and has been published by Heinemann Educational Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Education categories.

Presents techniques and examples for teaching prekindergarten through second grade students mathematical thinking and problem solving, and includes a CD-ROM containing modifiable activities.

Writing About The Mathematical Problem Solving Process To Help Nontraditional College Students Solve Mathematics Problems In A Beginning Algebra Course

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Author : Kenneth Michael Williams
language : en
Publisher:
Release Date : 1997

Writing About The Mathematical Problem Solving Process To Help Nontraditional College Students Solve Mathematics Problems In A Beginning Algebra Course written by Kenneth Michael Williams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.

Mathematical Problem Posing

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Author : Florence Mihaela Singer
language : en
Publisher: Springer
Release Date : 2015-06-12

Mathematical Problem Posing written by Florence Mihaela Singer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-12 with Education categories.

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. ​​

Problem Solving A Basic Mathematics Goal Becoming A Better Problem Solver

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Author : Steven P. Meiring
language : en
Publisher:
Release Date : 1980

Problem Solving A Basic Mathematics Goal Becoming A Better Problem Solver written by Steven P. Meiring and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.

Direct Instruction In Problem Solving

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Author : Robert DeWolfe Rowe
language : en
Publisher:
Release Date : 1986

Direct Instruction In Problem Solving written by Robert DeWolfe Rowe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.

What Is Mathematics

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Author : Elaine Allen Tuft
language : en
Publisher:
Release Date : 2005

What Is Mathematics written by Elaine Allen Tuft and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Elementary school teachers categories.

Math For The Anxious

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Author : Rosanne Proga
language : en
Publisher: McGraw-Hill Science, Engineering & Mathematics
Release Date : 2004-01-21

Math For The Anxious written by Rosanne Proga and has been published by McGraw-Hill Science, Engineering & Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-21 with Education categories.

Math for the Anxious: Building Basic Skills is written to provide a practical approach to the problem of math anxiety. By combining strategies for success with a pain-free introduction to basic math content, students will overcome their anxiety and find greater success in their math courses. The first two chapters not only explain the sources of math anxiety, they more importantly outline pragmatic steps students can take to reduce it. In each of the following eight chapters, strategies are implemented for learning a particular topic such as fractions that may have frustrated students in the past but can now be digested and mastered through hints, patient explanations, and revelations of how students already encounter the topic on an everyday basis. The final chapter brings all the strategies together and prepares students to encounter future math topics with newfound confidence and finely tuned techniques at their disposal.

Cognitive Psychology And Instruction

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Author : Roger H. Bruning
language : en
Publisher: Prentice Hall
Release Date : 2004

Cognitive Psychology And Instruction written by Roger H. Bruning and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Education categories.

Solidly rooted in current cognitive psychology and motivation research, this book applies the findings of such research directly to classroom teaching and students' learning. Discernable throughout the book is the authors' belief that a solid understanding of the cognitive psychology perspective enhances a teacher's ability to understand educational goals, educational processes, and the overall educational system.After an introduction to the basic principles of cognitive psychology and its position in education, the book explains cognitive processes, explores the importance of beliefs and motivations in the process of cognition, and, finally, examines the ways cognitive psychology informs teaching and learning in specific content areas. Devotes an entire chapter tosensory, short-term, and working memory,presenting the modal memory model.For future educators.

Problem Solving Strategies And Metacognitive Skills On Sat Mathematics Items

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Author : Pamela Lee Paek
language : en
Publisher:
Release Date : 2002

Problem Solving Strategies And Metacognitive Skills On Sat Mathematics Items written by Pamela Lee Paek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.