Enhancing Independent Problem Solving In Mathematics
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Enhancing Independent Problem Solving In Mathematics
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Author : Wayne P. Hresko
language : en
Publisher: PRUFROCK PRESS INC.
Release Date : 1999
Enhancing Independent Problem Solving In Mathematics written by Wayne P. Hresko and has been published by PRUFROCK PRESS INC. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This text is an exciting program for allowing students to explore their problem-solving abilities. Students' curiosity will be ignited as they progress through the self-guided and self-checking activities in the text. To supplement the activities in the book, teacher tips and activities are included in the teacher's guide. Grades 3-5
Enhancing Independent Problem Solving In Students Complete Kit
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Author : Wayne P. Hresko
language : en
Publisher:
Release Date : 1999-05-01
Enhancing Independent Problem Solving In Students Complete Kit written by Wayne P. Hresko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-01 with categories.
Enhancing Independent Problem Solving In Students
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Author : Wayne P. Hresko
language : en
Publisher:
Release Date : 1999-05-01
Enhancing Independent Problem Solving In Students written by Wayne P. Hresko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-01 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.
Introducing Nonroutine Math Problems To Secondary Learners
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Author : Robert London
language : en
Publisher: Taylor & Francis
Release Date : 2023-08-22
Introducing Nonroutine Math Problems To Secondary Learners written by Robert London and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-22 with Education categories.
Offering secondary math educators an innovative holistic and process-orientated approach for implementing nonroutine problems into their curriculum, this book defines and establishes practical strategies to develop students’ problem-solving skills. The text focuses on the process skills necessary to solve nonroutine problems in mathematics and other subjects, with the goal of making students better problem-solvers both in and outside of the classroom. Chapters present and define a curriculum of over 60 nonroutine problems in mathematics and other content areas, and explore the pedagogy to implement this type of curriculum consistent with the NCTM Standards and Principles to Action. Four different models of implementation are discussed, alongside a structured approach through seven difficulty levels (with examples), to ensure that every student, independent of their mastery of mathematics content, can improve their ability to solve nonroutine problems. It emphasizes to students how to transfer their problem-solving skills to other real-world areas, including increasing ecological awareness, appreciating diversity and addressing significant and meaningful problems in their life, school and community. The curriculum introduced in this book can be included as a component of a traditional four-year academic high school curriculum aligned with the Common Core Mathematical Practices, or as part of a one-year isolated required or elective mathematics course. Based on extensive field-testing this approach has been effective in both traditional mathematics courses and math electives such as a course in Problem-Solving. This book provides the necessary guidance to allow each mathematics teacher to effectively integrate the approach in their classrooms. This book is ideal for secondary mathematics teachers of all levels, as well as teachers of mathematics electives.
Strategies Of Problem Solving
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Author : Maria Nogin
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2014-06-24
Strategies Of Problem Solving written by Maria Nogin and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-24 with Mathematics categories.
Solving mathematical problems is both a science and an art. It is a science because we need to learn some basic concepts and skills, and use proper terminology when explaining our solution to other people. It is also an art because very often we need to be creative. There are infinitely many types of math problems, and it is impossible to learn how to solve every problem in the world. However, there are a few basic principles that are good to know. There are a few approaches and methods that are often useful. In this book, we discuss the major ones, including various types of proofs, the pigeon hole principle, the principle of mathematical induction, invariants, coloring, etc. In each chapter, we provide basic definitions and facts to get you started. We do not prove most of the well-known facts given in this book, since our main goal is to learn how to solve problems, i.e. use these facts. They are usually proved in other college courses such as abstract algebra, number theory, and analysis. Sometimes, however, the idea of a proof of a theorem can be used for solving many problems. In such cases we provide the proof. The book contains over 300 problems on various topics and detailed solutions of approximately half of them. This book is primarily intended for high school and college students and mathematics teachers. Most chapters are accessible to middle school students as well. It would especially be helpful for those competing in mathematics contests and wishing to improve their problem solving skills. The first edition contained some minor errors which have been fixed in the second edition. More problems were also added.
How To Solve It
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Author : George Pólya
language : en
Publisher: Princeton University Press
Release Date : 2014
How To Solve It written by George Pólya and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
"Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams."--Back cover.
Mathematical Problem Solving
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Author : ALAN H. SCHOENFELD
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Mathematical Problem Solving written by ALAN H. SCHOENFELD and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
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.
Modifying Your Thinking Classroom For Different Settings
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Author : Peter Liljedahl
language : en
Publisher: Corwin Press
Release Date : 2021-08-23
Modifying Your Thinking Classroom For Different Settings written by Peter Liljedahl and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-23 with Education categories.
Keep thinking...keep learning in different settings In Peter Liljedahl’s bestselling Building Thinking Classrooms in Mathematics: 14 Teaching Practices for Enhancing Learning, readers discovered that thinking is a precursor to learning. Translating 15 years of research, the anchor book introduced 14 practices that have the most potential to increase student thinking in the classroom and can work for any teacher in any setting. But how do these practices work in a classroom with social distancing or in settings that are not always face-to-face? This follow-up supplement will answer those questions, and more. It walks teachers through how to adapt the 14 practices for 12 distinct settings, some of which came about as a result of the COVID-19 pandemic. This guide: Provides the what, why, and how to adapt each practice in face-to-face settings that require social distancing, fixed seating, or small class sizes; synchronous and asynchronous virtual settings; synchronous and asynchronous hybrid settings; independent learning; and homeschooling. Includes guidance on using thinking classroom practices to support students in unfinished learning in small groups and one-on-one teaching or tutoring. Offers updated toolkits and a recommended order for the implementation of the practices for each of the settings. This supplement allows teachers to dip in as needed and continually modify the practices as their own classroom situations change and evolve, always keeping the thinking at the forefront of their mathematics teaching and learning.
Principles To Actions
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Author : National Council of Teachers of Mathematics
language : en
Publisher: National Council of Teachers of Mathematics, Incorporated
Release Date : 2014-02
Principles To Actions written by National Council of Teachers of Mathematics and has been published by National Council of Teachers of Mathematics, Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02 with Curriculum planning categories.
This text offers guidance to teachers, mathematics coaches, administrators, parents, and policymakers. This book: provides a research-based description of eight essential mathematics teaching practices ; describes the conditions, structures, and policies that must support the teaching practices ; builds on NCTM's Principles and Standards for School Mathematics and supports implementation of the Common Core State Standards for Mathematics to attain much higher levels of mathematics achievement for all students ; identifies obstacles, unproductive and productive beliefs, and key actions that must be understood, acknowledged, and addressed by all stakeholders ; encourages teachers of mathematics to engage students in mathematical thinking, reasoning, and sense making to significantly strengthen teaching and learning.