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Discrete Mathematics Across The Curriculum K 12
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Book Synopsis Discrete Mathematics in the Schools by : Joseph G. Rosenstein
Download or read book Discrete Mathematics in the Schools written by Joseph G. Rosenstein and published by American Mathematical Soc.. This book was released on 2000 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles written by experienced primary, secondary, and collegiate educators. It explains why discrete mathematics should be taught in K-12 classrooms and offers guidance on how to do so. It offers school and district curriculum leaders material that addresses how discrete mathematics can be introduced into their curricula.
Book Synopsis Discrete Mathematics in the Schools by : Joseph G. Rosenstein
Download or read book Discrete Mathematics in the Schools written by Joseph G. Rosenstein and published by American Mathematical Soc.. This book was released on with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides teachers of all levels with a great deal of valuable material to help them introduce discrete mathematics into their classrooms.
Author :William J. Masalski Publisher :National Council of Teachers of English ISBN 13 :9780873535694 Total Pages :384 pages Book Rating :4.5/5 (356 download)
Book Synopsis Technology-supported Mathematics Learning Environments by : William J. Masalski
Download or read book Technology-supported Mathematics Learning Environments written by William J. Masalski and published by National Council of Teachers of English. This book was released on 2005 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technology is playing an increasingly important role in the teaching and learning of mathematics at all levels. This publication reports on overviews of research and findings on the impact of technology. It furnishes a rich context in which to observe teachers in prekindergarten through grade 12 and teacher educators using technology to help their students better understand mathematics, and gives us all a glimpse of what the future might hold in store for us. The accompanying CD includes electronic features that enhance an understanding of the articles presented in the printed yearbook.
Book Synopsis Discrete Mathematics Across the Curriculum, K-12 by : Margaret J. Kenney
Download or read book Discrete Mathematics Across the Curriculum, K-12 written by Margaret J. Kenney and published by . This book was released on 1991 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete mathematics is the branch of mathematics that deals with arrangements of distinct objects. It includes a wide variety of topics and techniques that arise in everyday life, such as how to find the best route from one city to another, where the objects are cities arranged on a map. It also includes how to count the number of different combinations of toppings for pizzas, how best to schedule a list of tasks to be done, and how computers store and retrieve arrangements of information on a screen.
Book Synopsis Discrete Mathematics by : Oscar Levin
Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2016-08-16 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.
Book Synopsis Problem Solving and Reasoning with Discrete Mathematics by : Joseph G. Rosenstein
Download or read book Problem Solving and Reasoning with Discrete Mathematics written by Joseph G. Rosenstein and published by . This book was released on 2014 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Resources for Teaching Discrete Mathematics by : Brian Hopkins
Download or read book Resources for Teaching Discrete Mathematics written by Brian Hopkins and published by MAA. This book was released on 2009 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hopkins collects the work of 35 instructors who share their innovations and insights about teaching discrete mathematics at the high school and college level. The book's 9 classroom-tested projects, including building a geodesic dome, come with student handouts, solutions, and notes for the instructor. The 11 history modules presented draw on original sources, such as Pascal's "Treatise on the Arithmetical Triangle," allowing students to explore topics in their original contexts. Three articles address extensions of standard discrete mathematics content. Two other articles explore pedagogy specifically related to discrete mathematics courses: adapting a group discovery method to larger classes, and using logic in encouraging students to construct proofs.
Author :National Council of Teachers of Mathematics. Commission on Standards for School Mathematics Publisher :National Council of Teachers of Mathematics ISBN 13 : Total Pages :278 pages Book Rating :4.3/5 (91 download)
Book Synopsis Curriculum and Evaluation Standards for School Mathematics by : National Council of Teachers of Mathematics. Commission on Standards for School Mathematics
Download or read book Curriculum and Evaluation Standards for School Mathematics written by National Council of Teachers of Mathematics. Commission on Standards for School Mathematics and published by National Council of Teachers of Mathematics. This book was released on 1989 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Curriculum standards for mathematics for grades K-4, 5-8, and 9-12 are presented which suggest areas of instructional emphasis for specific student outcomes. Also discusses evaluation standards for both the curriculum and student achievement. K-12.
Book Synopsis Applied Discrete Structures by : Ken Levasseur
Download or read book Applied Discrete Structures written by Ken Levasseur and published by Lulu.com. This book was released on 2012-02-25 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: ''In writing this book, care was taken to use language and examples that gradually wean students from a simpleminded mechanical approach and move them toward mathematical maturity. We also recognize that many students who hesitate to ask for help from an instructor need a readable text, and we have tried to anticipate the questions that go unasked. The wide range of examples in the text are meant to augment the "favorite examples" that most instructors have for teaching the topcs in discrete mathematics. To provide diagnostic help and encouragement, we have included solutions and/or hints to the odd-numbered exercises. These solutions include detailed answers whenever warranted and complete proofs, not just terse outlines of proofs. Our use of standard terminology and notation makes Applied Discrete Structures a valuable reference book for future courses. Although many advanced books have a short review of elementary topics, they cannot be complete. The text is divided into lecture-length sections, facilitating the organization of an instructor's presentation.Topics are presented in such a way that students' understanding can be monitored through thought-provoking exercises. The exercises require an understanding of the topics and how they are interrelated, not just a familiarity with the key words. An Instructor's Guide is available to any instructor who uses the text. It includes: Chapter-by-chapter comments on subtopics that emphasize the pitfalls to avoid; Suggested coverage times; Detailed solutions to most even-numbered exercises; Sample quizzes, exams, and final exams. This textbook has been used in classes at Casper College (WY), Grinnell College (IA), Luzurne Community College (PA), University of the Puget Sound (WA).''--
Book Synopsis Fundamentals of Discrete Math for Computer Science by : Tom Jenkyns
Download or read book Fundamentals of Discrete Math for Computer Science written by Tom Jenkyns and published by Springer Science & Business Media. This book was released on 2012-10-16 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions. Features: no university-level background in mathematics required; ideally structured for classroom-use and self-study, with modular chapters following ACM curriculum recommendations; describes mathematical processes in an algorithmic manner; contains examples and exercises throughout the text, and highlights the most important concepts in each section; selects examples that demonstrate a practical use for the concept in question.
Book Synopsis Discrete Mathematics For Teachers by : Ed Wheeler
Download or read book Discrete Mathematics For Teachers written by Ed Wheeler and published by IAP. This book was released on 2010-06-01 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Originally Published by Houghton Mifflin Company, 2004) There is a national consensus that teachers who teach middle-grades and elementary mathematics need deeper and broader exposure to mathematics in both their undergraduate and in their graduate studies. The Mathematics Education of Teachers, published by The Conference Board on the Mathematical Sciences, recommends 21 semester hours of mathematics for prospective teachers of middle-grades mathematics. In several states pre-service teachers preparing to teach middle-grades mathematics and pre-service teachers preparing to teach elementary school must complete 6- 9 semester hours of mathematics content at the junior-senior level. Graduate schools across the nation have developed special programs for educators who specialize in teaching mathematics to elementary school children and to middle grades students. However, there is a paucity of text materials to support those efforts at junior-senior level and graduate level courses. Faculty members must choose to teach yet another course out of one of the “Mathematics for Teachers” texts that have formed the basis of the curriculum for the last two decades. These texts tend to treat a very limited set of topics on a somewhat superficial level. Alternatively, faculty members can use mathematics textbooks written primarily for students majoring in mathematics or the sciences. Neither the topic choice nor the pedagogical style of these texts is optimal for pre-service and in-service teachers of middle grades and elementary mathematics. Discrete Mathematics for Teachers is a text designed to fill this void. The topic is right. Discrete mathematics provides a rich and varied source of problems for exploration and communication, expands knowledge of mathematics in directions related to elementary and middle school curricula, and is easily presented using our best understanding of the ways that mathematics is learned and taught. The presentation is right. In the spirit of NCTM’s Principles and Standards for School Mathematics, topics are presented with careful attention to the best traditions of problem solving, reasoning and proof, communication, connections with other disciplines and other areas of mathematics, and varied modes of representation.
Book Synopsis Navigating Through Discrete Mathematics in Grades 6-12 by : Eric W. Hart
Download or read book Navigating Through Discrete Mathematics in Grades 6-12 written by Eric W. Hart and published by National Council of Teachers of English. This book was released on 2008 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers ways of presenting and developing three topics emphasised in Principles and Standards for School Mathematics: counting, vertex-edge graphs and iterative and recursive processes.
Book Synopsis Designing Mathematics or Science Curriculum Programs by : National Research Council
Download or read book Designing Mathematics or Science Curriculum Programs written by National Research Council and published by National Academies Press. This book was released on 1999-11-15 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the publication of the National Science Education Standards and the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards for School Mathematics, a clear set of goals and guidelines for achieving literacy in mathematics and science was established. Designing Mathematics or Science Curriculum Programs has been developed to help state- and district-level education leaders create coherent, multi-year curriculum programs that provide students with opportunities to learn both mathematics and science in a connected and cumulative way throughout their schooling. Researchers have confirmed that as U.S. students move through the grade levels, they slip further and further behind students of other nations in mathematics and science achievement. Experts now believe that U.S. student performance is hindered by the lack of coherence in the mathematics and science curricula in many American schools. By structuring curriculum programs that capitalize on what students have already learned, the new concepts and processes that they can learn will be richer, more complex, and at a higher level. Designing Mathematics or Science Curriculum Programs outlines: Components of effective mathematics and science programs. Criteria by which these components can be judged. A process for developing curriculum that is structured, focused, and coherent. Perhaps most important, this book emphasizes the need for designing curricula across the entire 13-year span that our children spend in elementary and secondary school as a way to improve the quality of education. Ultimately, it will help state and district educators use national and state standards to design or re-build mathematics and science curriculum programs that develop new ideas and skills based on earlier onesâ€"from lesson to lesson, unit to unit, year to year. Anyone responsible for designing or influencing mathematics or science curriculum programs will find this guide valuable.
Book Synopsis A Framework for K-12 Science Education by : National Research Council
Download or read book A Framework for K-12 Science Education written by National Research Council and published by National Academies Press. This book was released on 2012-02-28 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science, engineering, and technology permeate nearly every facet of modern life and hold the key to solving many of humanity's most pressing current and future challenges. The United States' position in the global economy is declining, in part because U.S. workers lack fundamental knowledge in these fields. To address the critical issues of U.S. competitiveness and to better prepare the workforce, A Framework for K-12 Science Education proposes a new approach to K-12 science education that will capture students' interest and provide them with the necessary foundational knowledge in the field. A Framework for K-12 Science Education outlines a broad set of expectations for students in science and engineering in grades K-12. These expectations will inform the development of new standards for K-12 science education and, subsequently, revisions to curriculum, instruction, assessment, and professional development for educators. This book identifies three dimensions that convey the core ideas and practices around which science and engineering education in these grades should be built. These three dimensions are: crosscutting concepts that unify the study of science through their common application across science and engineering; scientific and engineering practices; and disciplinary core ideas in the physical sciences, life sciences, and earth and space sciences and for engineering, technology, and the applications of science. The overarching goal is for all high school graduates to have sufficient knowledge of science and engineering to engage in public discussions on science-related issues, be careful consumers of scientific and technical information, and enter the careers of their choice. A Framework for K-12 Science Education is the first step in a process that can inform state-level decisions and achieve a research-grounded basis for improving science instruction and learning across the country. The book will guide standards developers, teachers, curriculum designers, assessment developers, state and district science administrators, and educators who teach science in informal environments.
Book Synopsis Discrete Mathematics with Applications, Metric Edition by : Susanna Epp
Download or read book Discrete Mathematics with Applications, Metric Edition written by Susanna Epp and published by . This book was released on 2019 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, Metric Edition explains complex, abstract concepts with clarity and precision and provides a strong foundation for computer science and upper-level mathematics courses of the computer age. Author Susanna Epp presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to today's science and technology.
Book Synopsis Discrete Mathematics for Computer Science by : Gary Haggard
Download or read book Discrete Mathematics for Computer Science written by Gary Haggard and published by Cengage Learning. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE with Student Solutions Manual CD-ROM! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express precise ideas in clear mathematical language. Through a wealth of exercises and examples, you will learn how mastering discrete mathematics will help you develop important reasoning skills that will continue to be useful throughout your career.
Book Synopsis Discrete Mathematics by : László Lovász
Download or read book Discrete Mathematics written by László Lovász and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.
