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Author : Meridon Vestal Garner
Publisher :
ISBN 13 :
Total Pages : 325 pages
Book Rating : 4.:/5 (989 download)
Download or read book Mathematics for Elementary School Teachers the Real Numbers, Number Theory written by Meridon Vestal Garner and published by . This book was released on 1969 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Long DeTemple
Publisher : Addison Wesley Publishing Company
ISBN 13 : 9780321013309
Total Pages : 1154 pages
Book Rating : 4.0/5 (133 download)
Download or read book Mathematical Reasoning for Elementary Teachers written by Long DeTemple and published by Addison Wesley Publishing Company. This book was released on 1996 with total page 1154 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourth edition of Mathematical Reasoning has an increased focus on professional development and connecting the material from this class to the elementary and middle school classroom. The authors have provided more meaningful content and pedagogy to arm readers with all the tools that they will need to become excellent elementary or middle school teachers. Thinking Critically. Sets and Whole Numbers. Numeration and Computation. Number Theory. Integers. Fractions and Rational Numbers. Decimals and Real Numbers. Algebraic Reasoning and Representation. Statistics: The Interpretation of Data. Probability. Geometric Figures. Measurement. Transformations, Symmetries, and Tilings. Congruence, Constructions, and Similarities. For all readers interested in mathematical reasoning for elementary teachers.
Author : Rina Zazkis
Publisher : Routledge
ISBN 13 : 1136501436
Total Pages : 306 pages
Book Rating : 4.1/5 (365 download)
Download or read book Number Theory in Mathematics Education written by Rina Zazkis and published by Routledge. This book was released on 2012-10-12 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers multiple interconnected perspectives on the largely untapped potential of elementary number theory for mathematics education: its formal and cognitive nature, its relation to arithmetic and algebra, its accessibility, its utility and intrinsic merits, to name just a few. Its purpose is to promote explication and critical dialogue about these issues within the international mathematics education community. The studies comprise a variety of pedagogical and research orientations by an international group of researchers that, collectively, make a compelling case for the relevance and importance of number theory in mathematics education in both pre K-16 settings and mathematics teacher education. Topics variously engaged include: *understanding particular concepts related to numerical structure and number theory; *elaborating on the historical and psychological relevance of number theory in concept development; *attaining a smooth transition and extension from pattern recognition to formative principles; *appreciating the aesthetics of number structure; *exploring its suitability in terms of making connections leading to aha! insights and reaching toward the learner's affective domain; *reexamining previously constructed knowledge from a novel angle; *investigating connections between technique and theory; *utilizing computers and calculators as pedagogical tools; and *generally illuminating the role number theory concepts could play in developing mathematical knowledge and reasoning in students and teachers. Overall, the chapters of this book highlight number theory-related topics as a stepping-stone from arithmetic toward generalization and algebraic formalism, and as a means for providing intuitively grounded meanings of numbers, variables, functions, and proofs. Number Theory in Mathematics Education: Perspectives and Prospects is of interest to researchers, teacher educators, and students in the field of mathematics education, and is well suited as a text for upper-level mathematics education courses.
Author : Rina Zazkis
Publisher : Taylor & Francis
ISBN 13 : 0429757964
Total Pages : 229 pages
Book Rating : 4.4/5 (297 download)
Download or read book The Learning and Teaching of Number written by Rina Zazkis and published by Taylor & Francis. This book was released on 2021-05-23 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers are the backbones of mathematics. From 1 to infinity, numbers accompany and underlie the learning of mathematics and research. While perceived as familiar and understood, numbers present fascinating and often mysterious patterns, relationships and pedagogical issues. The Learning and Teaching of Number explores how mathematics education research has addressed issues related to the structure of numbers and number operations and provides a classroom context. It invites readers to explore less-travelled paths through a well-trodden terrain of number. This fascinating book combines mathematical content with pedagogical ideas and research results. Focusing on number, the book illustrates central ideas related to numbers via a variety of tasks at different levels of complexity. The Learning and Teaching of Number will allow the reader to examine and develop personal understanding of number sets and the relationships among them; enhance personal understanding of familiar topics associated with number operations; engage in a variety of tasks and strengthen personal problem-solving skills; enrich their repertoire of mathematical tasks and pedagogical actions; and consider research ideas and results related to teaching numbers, number operations and number relationships. This is a valuable resource for teacher education courses, graduate programs in mathematics education and professional development programs. Teacher trainers and maths teachers will find their personal understanding of numbers and relationships enriched and will draw connections between research and classroom pedagogy which will extend and enhance their teaching.
Author : Phares G. O'Daffer
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 898 pages
Book Rating : 4.X/5 (4 download)
Download or read book Mathematics for Elementary School Teachers written by Phares G. O'Daffer and published by Addison Wesley Publishing Company. This book was released on 2002 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Elementary School Teachers, 2/e, provides a unique opportunity for students to develop a clear understanding of mathematical concepts, procedures, and processes, to communicate these ideas to others, and to apply them to the real world. The goal is to achieve the optimum balance between presenting a thorough development of mathematical content and presenting it in a way that is understandable by students. The material has been revised so that it powerfully embodies the new Principles and Standards for School Mathematics of the National Council of Teachers of Mathematics.
Author : Diane L. Herrmann
Publisher : CRC Press
ISBN 13 : 1466554649
Total Pages : 446 pages
Book Rating : 4.4/5 (665 download)
Download or read book Number, Shape, & Symmetry written by Diane L. Herrmann and published by CRC Press. This book was released on 2012-10-18 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with undergraduate students at the University of Chicago, seventh to tenth grade mathematically talented students in the University of Chicago’s Young Scholars Program, and elementary public school teachers in the Seminars for Endorsement in Science and Mathematics Education (SESAME). The first half of the book focuses on number theory, beginning with the rules of arithmetic (axioms for the integers). The authors then present all the basic ideas and applications of divisibility, primes, and modular arithmetic. They also introduce the abstract notion of a group and include numerous examples. The final topics on number theory consist of rational numbers, real numbers, and ideas about infinity. Moving on to geometry, the text covers polygons and polyhedra, including the construction of regular polygons and regular polyhedra. It studies tessellation by looking at patterns in the plane, especially those made by regular polygons or sets of regular polygons. The text also determines the symmetry groups of these figures and patterns, demonstrating how groups arise in both geometry and number theory. The book is suitable for pre-service or in-service training for elementary school teachers, general education mathematics or math for liberal arts undergraduate-level courses, and enrichment activities for high school students or math clubs.
Author : William J. LeVeque
Publisher : Courier Corporation
ISBN 13 : 0486150763
Total Pages : 162 pages
Book Rating : 4.4/5 (861 download)
Download or read book Elementary Theory of Numbers written by William J. LeVeque and published by Courier Corporation. This book was released on 2014-01-15 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This superb text introduces number theory to readers with limited formal mathematical training. Intended for use in freshman- and sophomore-level courses in arts and science curricula, in teacher-training programs, and in enrichment programs for high-school students, it is filled with simple problems to stimulate readers' interest, challenge their abilities and increase mathematical strength. Contents: I. Introduction II. The Euclidean Algorithm and Its Consequences III. Congruences IV. The Powers of an Integer Modulo m V. Continued Fractions VI. The Gaussian Integers VII. Diophantine Equations Requiring only a sound background in high-school mathematics, this work offers the student an excellent introduction to a branch of mathematics that has been a strong influence in the development of higher pure mathematics, both in stimulating the creation of powerful general methods in the course of solving special problems (such as Fermat conjecture and the prime number theorem) and as a source of ideas and inspiration comparable to geometry and the mathematics of physical phenomena.
Author : Eric Gutstein
Publisher : Rethinking Schools
ISBN 13 : 0942961544
Total Pages : 192 pages
Book Rating : 4.9/5 (429 download)
Download or read book Rethinking Mathematics written by Eric Gutstein and published by Rethinking Schools. This book was released on 2005 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.
Author : Gary L. Musser
Publisher : John Wiley & Sons
ISBN 13 : 1118487001
Total Pages : 1042 pages
Book Rating : 4.1/5 (184 download)
Download or read book Mathematics for Elementary Teachers written by Gary L. Musser and published by John Wiley & Sons. This book was released on 2013-09-16 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Elementary Teachers, 10th Edition Binder Ready Version establishes a solid math foundation for future teachers. Thoroughly revised with a clean, engaging design, the new 10th Edition of Musser, Peterson, and Burgers best-selling textbook focuses on one primary goal: helping students develop a deep understanding of mathematical concepts so they can teach with knowledge and confidence. The components in this complete learning program--from the textbook, to the e-Manipulative activities, to the Childrens Videos, to the online problem-solving tools, resource-rich website and Enhanced WileyPLUS--work in harmony to help achieve this goal. This text is an unbound, binder-ready edition. WileyPLUS sold separately from text.
Author :
Publisher :
ISBN 13 : 9780873534840
Total Pages : 20 pages
Book Rating : 4.5/5 (348 download)
Download or read book Principles and Standards for School Mathematics written by and published by . This book was released on 2000 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-read summary is an excellent tool for introducing others to the messages contained in Principles and Standards.
Author : Charles Vanden Eynden
Publisher : Waveland Press
ISBN 13 : 1478639156
Total Pages : 278 pages
Book Rating : 4.4/5 (786 download)
Download or read book Elementary Number Theory written by Charles Vanden Eynden and published by Waveland Press. This book was released on 2006-02-15 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practical and versatile text evolved from the author’s years of teaching experience and the input of his students. Vanden Eynden strives to alleviate the anxiety that many students experience when approaching any proof-oriented area of mathematics, including number theory. His informal yet straightforward writing style explains the ideas behind the process of proof construction, showing that mathematicians develop theorems and proofs from trial and error and evolutionary improvement, not spontaneous insight. Furthermore, the book includes more computational problems than most other number theory texts to build students’ familiarity and confidence with the theory behind the material. The author has devised the content, organization, and writing style so that information is accessible, students can gain self-confidence with respect to mathematics, and the book can be used in a wide range of courses—from those that emphasize history and type A problems to those that are proof oriented.
Author : Albert B. Bennett
Publisher : McGraw-Hill Science, Engineering & Mathematics
ISBN 13 : 9780072931648
Total Pages : 898 pages
Book Rating : 4.9/5 (316 download)
Download or read book Mathematics for Elementary Teachers written by Albert B. Bennett and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 2003-02 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing conceptual understanding through the use of models and visuals, this text helps students connect ideas and concepts while providing them with useful methods for teaching math to elementary school children. Mathematics for Elementary Teachers: A Conceptual Approach addresses the NCTM standards by encouraging active student participation through features such as Math Activities and Math Investigations. The Math Investigations now appear on the companion website.
Author : Carne Barnett-Clarke
Publisher : National Council of Teachers of English
ISBN 13 : 9780873536301
Total Pages : 83 pages
Book Rating : 4.5/5 (363 download)
Download or read book Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3/5 written by Carne Barnett-Clarke and published by National Council of Teachers of English. This book was released on 2010 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the relationship between fractions and rational numbers? Can you explain why the product of two fractions between 0 and 1 is less than either factor? How are rational numbers related to irrational numbers, which your students will study in later grades? How much do you know… and how much do you need to know? Helping your upper elementary school students develop a robust understanding of rational numbers requires that you understand this mathematics deeply. But what does that mean? This book focuses on essential knowledge for teachers about rational numbers. It is organised around four big ideas, supported by multiple smaller, interconnected ideas-essential understandings. Taking you beyond a simple introduction to rational numbers, the book will broaden and deepen your mathematical understanding of one of the most challenging topics for students and teachers. It will help you engage your students, anticipate their perplexities, avoid pitfalls and dispel misconceptions. You will also learn to develop appropriate tasks, techniques and tools for assessing students’ understanding of the topic. Focus on the ideas that you need to understand thoroughly to teach confidently.
Author : David C. Marshall
Publisher : MAA
ISBN 13 : 0883857510
Total Pages : 151 pages
Book Rating : 4.8/5 (838 download)
Download or read book Number Theory Through Inquiry written by David C. Marshall and published by MAA. This book was released on 2007 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number Theory Through Inquiry; is an innovative textbook that leads students on a carefully guided discovery of introductory number theory. The book has two equally significant goals. One goal is to help students develop mathematical thinking skills, particularly, theorem-proving skills. The other goal is to help students understand some of the wonderfully rich ideas in the mathematical study of numbers. This book is appropriate for a proof transitions course, for an independent study experience, or for a course designed as an introduction to abstract mathematics. Math or related majors, future teachers, and students or adults interested in exploring mathematical ideas on their own will enjoy; Number Theory Through Inquiry; Number theory is the perfect topic for an introduction-to-proofs course. Every college student is familiar with basic properties of numbers, and yet the exploration of those familiar numbers leads us to a rich landscape of ideas. Number Theory Through Inquiry contains a carefully arranged sequence of challenges that lead students to discover ideas about numbers and to discover methods of proof on their own. It is designed to be used with an instructional technique variously called guided discovery or Modified Moore Method or Inquiry Based Learning (IBL). Instructors materials explain the instructional method. This style of instruction gives students a totally different experience compared to a standard lecture course. Here is the effect of this experience: Students learn to think independently: they learn to depend on their own reasoning to determine right from wrong; and theydevelop the central, important ideas of introductory number theory on their own. From that experience, they learn that they can personally create important ideas. They develop an attitude of personal reliance and a sense that they can think effectively about difficult problems. These goals are fundamental to the educational enterprise within and beyond mathematics.
Author : Daniel Duverney
Publisher : World Scientific
ISBN 13 : 9814307467
Total Pages : 348 pages
Book Rating : 4.8/5 (143 download)
Download or read book Number Theory written by Daniel Duverney and published by World Scientific. This book was released on 2010 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory. Clear, concise, and self-contained, the topics are covered in 12 chapters with more than 200 solved exercises. The textbook may be used by undergraduates and graduate students, as well as high school mathematics teachers. More generally, it will be suitable for all those who are interested in number theory, the fascinating branch of mathematics.
Author : Judith Sowder
Publisher : Macmillan Higher Education
ISBN 13 : 1319483135
Total Pages : 4164 pages
Book Rating : 4.3/5 (194 download)
Download or read book Loose-leaf Version for Reconceptualizing Mathematics written by Judith Sowder and published by Macmillan Higher Education. This book was released on 2023-03-03 with total page 4164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn by doing with active resources, discussions, and support in Reconceptualizing Mathematics and Achieve! Student-centered lessons model the teaching that will eventually be expected of you as you gain valuable hands-on experience with technology, problem solving, and quantitative reasoning.
Author : John F. LeBlanc
Publisher : Addison Wesley Publishing Company
ISBN 13 : 9780201146127
Total Pages : 240 pages
Book Rating : 4.1/5 (461 download)
Download or read book Rational Numbers with Integers and Reals written by John F. LeBlanc and published by Addison Wesley Publishing Company. This book was released on 1976 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unit is 1 of 12 developed for the university classroom portion of the Mathematics-Methods Program (MMP), created by the Indiana University Mathematics Education Development Center (MEDC) as an innovative program for the mathematics training of prospective elementary school teachers (PSTs). Each unit is written in an activity format that involves the PST in doing mathematics with an eye toward application of that mathematics in the elementary school. This document is one of four units that are devoted to the basic number work in the elementary school. In addition to an introduction to the unit, the text has sections on integers in the elementary school, rational numbers in the elementary school, mathematics of the rational numbers, rational numbers as decimals, the real number system, and appendices that cover self-test answers, the properties of number systems, and skill builder exercises. (MP)
