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: 249

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This second edition aligns ready-to-use lessons with NCTM standards and offers suggestions for integrating multiple topics and incorporating TI-73 Explorer and TI-83 Plus graphing calculator applications and programs.
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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: 280

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Invigorate instruction and engage students with this updated treasure trove of 114 ready-to-use techniques compiled by two of the greatest minds in mathematics.
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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

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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

On the other hand , Postulate 4 gives no clue regarding the nature of a right angle , nor does it tell how the term is to be employed ; it merely states a fundamental assumption about such angles . Finally , the natural order for ...

Author: Howard Whitley Eves

Publisher: Courier Corporation

ISBN: 048669609X

Category: Mathematics

Page: 344

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This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of several areas of mathematics. The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics. Among the topics covered in this wide-ranging text are: mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, the real numbers system, sets, logic and philosophy and more. The emphasis on axiomatic procedures provides important background for studying and applying more advanced topics, while the inclusion of the historical roots of both algebra and geometry provides essential information for prospective teachers of school mathematics. The readable style and sets of challenging exercises from the popular earlier editions have been continued and extended in the present edition, making this a very welcome and useful version of a classic treatment of the foundations of mathematics. "A truly satisfying book." — Dr. Bruce E. Meserve, Professor Emeritus, University of Vermont.
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Fundamental Concepts of Mathematics

Definitions, formulas, theorems and key ideas should be written out on paper as you go along. The mere act of transcribing these items on a ... mathematical concept needs to be understood — the formal level and the intuitive level.

Author: David J. Foulis





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Basic Concepts of Mathematics

The most important concept we shall introduce is the limit of a real sequence . This concept of limit is the cornerstone of mathematical analysis and the key to understanding the calculus . 12.3 Definition of sequences In our discussion ...

Author: George C. Bush


ISBN: STANFORD:36105033140596

Category: Matematicas

Page: 387

View: 296

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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

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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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Maths in Minutes

Both simple and accessible, Maths in Minutes is a visually led introduction to 200 key mathematical ideas.

Author: Paul Glendinning

Publisher: Hachette UK

ISBN: 9780857386175

Category: Mathematics

Page: 416

View: 882

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Both simple and accessible, Maths in Minutes is a visually led introduction to 200 key mathematical ideas. Each concept is quick and easy to remember, described by means of an easy-to-understand picture and a maximum 200-word explanation. Concepts span all of the key areas of mathematics, including Fundamentals of Mathematics, Sets and Numbers, Geometry, Equations, Limits, Functions and Calculus, Vectors and Algebra, Complex Numbers, Combinatorics, Number Theory, Metrics and Measures and Topology.
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Uncovering Student Thinking About Mathematics in the Common Core Grades 3 5

See Mathematics Assessment Probes; QUEST Cycle implementation process Procedural knowledge. ... questions about key concepts and, 112 sample student responses to, 115 surveying prompts/selected responses and, 113–114 teacher notes for, ...

Author: Cheryl Rose Tobey

Publisher: Corwin Press

ISBN: 9781483340203

Category: Education

Page: 248

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Take the guesswork out of grades 3-5 math assessment! Quickly pinpoint and reverse your students’ common math difficulties with this detailed and easy-to-follow resource from best-selling authors Cheryl Tobey and Carolyn Arline. Twenty research-based assessment probes help you ask the right questions to uncover just where your students get confused – while learning is already underway. These CCSM-aligned probes eliminate all guesswork and will help you: Systematically address conceptual and procedural mistakes Plan targeted instruction and remediation in multiplication and division, problem solving, the four operations, factorization, and beyond Master essential CCSM mathematical processes and proficiencies for Grades 3-5
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Fundamental Concepts in Electrical and Computer Engineering with Practical Design Problems

In the first unit, the student is presented with a review of some key mathematical concepts. This overview is designed to fill in any gaps in the student's previous mathematical background and to provide a foundation for their study of ...

Author: Reza Adhami

Publisher: Universal-Publishers

ISBN: 9781581129717

Category: Computers

Page: 736

View: 154

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In many cases, the beginning engineering student is thrown into upper-level engineering courses without an adequate introduction to the basic material. This, at best, causes undue stress on the student as they feel unprepared when faced with unfamiliar material, and at worst, results in students dropping out of the program or changing majors when they discover that their chosen field of engineering is not what they thought it was. The purpose of this text is to introduce the student to a general cross-section of the field of electrical and computer engineering. The text is aimed at incoming freshmen, and as such, assumes that the reader has a limited to nonexistent background in electrical engineering and knowledge of no more than pre-calculus in the field of mathematics. By exposing students to these fields at an introductory level, early in their studies, they will have both a better idea of what to expect in later classes and a good foundation of knowledge upon which to build.
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