Key Concepts in Mathematics

According to the standards listed in Principles and Standards for School Mathematics (National Council of Teachers of Mathematics [NCTM], 2000), all students in Grades 6 through 12 should be able to do the following: • Analyze ...

Author: Timothy J. McNamara

Publisher: Corwin Press

ISBN: 9781412938426

Category: Education

Page: 265

View: 359

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"Includes a large number of user-friendly examples that integrate mathematics content and process standards. The step-by-step guidance and explanations in each chapter are beneficial."-Melissa Miller, TeacherRandall G. Lynch Middle School, Farmington, AR "Great activities that are exploratory in nature. A valuable resource."-Carol Amos, Teacher Leader and Mathematics CoordinatorTwinfield Union School, Plainfield, VT Increase students' mathematics achievement with rich problem-solving lessons and activities that are aligned with NCTM standards! Helping teachers envision how math standards can be integrated into the secondary classroom, Key Concepts in Mathematics, Second Edition presents engaging activities and ready-to-use lessons aligned with NCTM content and process standards. This user-friendly book by mathematics educator Timothy J. McNamara is filled with a generous collection of lessons for each of the ten NCTM standards, with many activities that address multiple standards, and numerous practical suggestions for extending the lessons beyond the curriculum. In addition, this updated resource combines standards-based mathematics and technology by incorporating TI-73 Explorer(tm) and TI-83 Plus graphing calculator applications and programs. Each chapter offers: Ready-to-use lessons, hands-on activities, practical suggestions, and an abundance of "good problems" Suggestions for integrating multiple topics and concepts in each lesson Strategies to strengthen student engagement, understanding, and retention by building connections among mathematics topics This exciting guide delivers exactly what is needed for today's standards-based math classroom!
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101 Great Ideas for Introducing Key Concepts in Mathematics

This book presents motivational ways to teach many of the key topics in the secondary school curriculum. ... teachers feel that students who reach high school should no longer require physical models to comprehend mathematical concepts.

Author: Alfred S. Posamentier

Publisher: Corwin Press

ISBN: 9781412927062

Category: Education

Page: 297

View: 800

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Multiply math mastery and interest with these inspired teaching tactics! Invigorate instruction and engage students with this treasure trove of "Great Ideas" compiled by two of the greatest minds in mathematics. From commonly taught topics in algebra, geometry, trigonometry and statistics, to more advanced explorations into indirect proofs, binomial theorem, irrationality, relativity and more, this guide outlines actual equations and techniques that will inspire veteran and new educators alike. This updated second edition offers more proven practices for bringing math concepts to life in the classroom, including 114 innovative strategies organized by subject area User-friendly content identifying "objective," "materials," and "procedure" for each technique A range of teaching models, including hands-on and computer-based methods Specific and straightforward examples with step-by-step lessons Written by two distinguished leaders in the field-mathematician, author, professor, university dean and popular commentator Alfred S. Posamentier, along with mathematical pioneer and Nobel Prize recipient Herbert A. Hauptman-this guide brings a refreshing perspective to secondary math instruction to spark renewed interest and success among students and teachers.
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Key Concepts in Teaching Primary Mathematics

What are the most important concepts related to teaching and learning that a teacher of mathematics in a primary school should know something about? That was the question we had before us in setting out to write this book.

Author: Derek Haylock

Publisher: SAGE

ISBN: 9781849202459

Category: Education

Page: 200

View: 729

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Covering the key principles and concepts in the teaching and learning of mathematics in primary schools, this text provides trainee and practising teachers with a quick and easy reference to what they need to know for their course, and in the classroom. The entries are arranged alphabetically, and each contains a brief definition, followed by an explanation and discussion, practical examples and annotated suggestions for further reading. Examples of the wide-ranging material include: Anxiety about mathematics; Assessment for Learning; Cognitive conflict; Concept learning; Creativity in mathematics; Differentiation; Equivalence; Explanation; Investigation; Low attainment; Making connections; Meaningful context; Mental calculation; Numeracy; Play as a context for learning mathematics; Problem-solving; Questioning; Talk.
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Foundations and Fundamental Concepts of Mathematics

Earlier chapters have demonstrated the importance of the two categories of geometry and algebra insofar as the foundations and the fundamental concepts of mathematics are concerned, and how, in particular, these two categories ...

Author: Howard Eves

Publisher: Courier Corporation

ISBN: 9780486132204

Category: Mathematics

Page: 368

View: 118

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Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.
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Basic Concepts of Mathematics

The Zakon Series on Mathematical Analysis Basic Concepts of Mathematics Mathematical Analysis I Mathematical Analysis II (in preparation) The Zakon Series on Mathematical Analysis Basic Concepts of Mathematics.

Author: Elias Zakon

Publisher: The Trillia Group

ISBN: 9781931705004

Category: Mathematics

Page: 208

View: 112

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Basic Concepts of Mathematics and Logic

Nevertheless, the concept of number is one of the most fundamental concepts in all of mathematics. There are few areas of mathematical study into which the number concept does not enter. Strangely enough, however, it is only ...

Author: Michael C. Gemignani

Publisher: Courier Corporation

ISBN: 9780486435060

Category: Mathematics

Page: 290

View: 946

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This text emphasizes logic and the theory of sets. Students who take no further courses in the field will find it an excellent resource for developing an appreciation for the nature of mathematics. Others will discover the foundations for future studies — set theory, logic, counting, numbers, functions, and more. 1968 edition. 43 figures. 25 tables.
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Key Concepts in Curriculum Studies

Within mathematics education, common curriculum themes include mathematical modelling, data modelling, and a range of systemsbased approaches for mathematical applications in engineering and other STEM domains.

Author: Judy Wearing

Publisher: Routledge

ISBN: 9781351167062

Category: Education

Page: 359

View: 156

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Offering an accessible entry into curriculum theory, this book defines and contextualizes key concepts for novice and experienced students. Leading scholars in curriculum studies provide short anchor texts that introduce, define, and situate contemporary curriculum theory constructs. Each anchor text is followed by two concise, creative keyword responses that demonstrate varied perspectives and connections, allowing readers to reflect on and engage with the personal relevance of these fundamental concepts. Useful to instructors and scholars alike, this book explains keyword writing as a teaching and learning strategy and invites readers to enter the complicated conversations of contemporary curriculum theory through their own creative, personal responses. Featuring wide-ranging, nuanced, and varied commentary on major relevant themes, as well as discussion questions for students, this book is an essential text for doctoral and masters-level courses in curriculum studies.
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Fundamental Concepts of Mathematical Logic

Hence, in this book, I have discussed about all basic concepts of mathematical logics with various examples and problems. After reading this book one can able to know a brief fundamental concept of mathematical logics and hence forth ...

Author: Dr. Yogeesh N

Publisher: Insta Publishing

ISBN: 9789390719396

Category: Education

Page: 114

View: 872

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Epistemology Key Concepts in Philosophy

Nevertheless – I would argue – they are of the utmost importance if we want to get straight about basic questions like the role of mathematics in the physical sciences or how it can be that so seemingly abstract a branch of enquiry ...

Author: Christopher Norris

Publisher: Bloomsbury Publishing

ISBN: 9781441193896

Category: Philosophy

Page: 220

View: 409

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Key Concepts in Philosophy is a series of concise, accessible and engaging introductions to the core ideas and topics encountered in the study of philosophy. Specially written to meet the needs of students and those with little prior knowledge of the subject, these books open up a whole range of important, yet often difficult ideas. The series builds to give a solid grounding in philosophy and each book is also ideal as a companion to further study. Epistemology - inquiry into the nature, possibility and scope of human knowledge - has been at the heart of the philosophy from ancient Greek times to the present. Christopher Norris provides a lucid survey and analysis of the issues that have shaped that enterprise and continue to dominate present-day discussion. He also brings out with exceptional clarity the ways in which certain 'technical' issues in epistemology can have a decisive bearing on matters of practical concern. The text highlights continuities and contrasts between early and contemporary approaches, and between the sorts of thinking that have typified the mainstream analytic and the modern 'continental' lines of descent. Norris introduces the main topics of debate, among them arguments for and against adopting a realist position with regard to various fields of knowledge, from mathematics to the physical sciences and history. Philosophy undergraduates will find this an invaluable aid to study, one that goes beyond simple definitions and summaries to open up a new and stimulating range of ideas.
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Basic Concepts in Modern Mathematics

I believe that a more realistic terminal mathematics course, in keeping with the spirit of the times, is one that focuses on a relatively few fundamental concepts, but delves into each deeply enough to challenge the student; ...

Author: John Edward Hafstrom

Publisher: Courier Corporation

ISBN: 9780486316277

Category: Mathematics

Page: 208

View: 432

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In-depth overview, geared toward undergraduates of all backgrounds, covers natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.
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