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Combinatorial Reasoning
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Book Synopsis Combinatorial Reasoning by : Duane DeTemple
Download or read book Combinatorial Reasoning written by Duane DeTemple and published by John Wiley & Sons. This book was released on 2014-04-08 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by two well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting presents a clear and comprehensive introduction to the concepts and methodology of beginning combinatorics. Focusing on modern techniques and applications, the book develops a variety of effective approaches to solving counting problems. Balancing abstract ideas with specific topical coverage, the book utilizes real world examples with problems ranging from basic calculations that are designed to develop fundamental concepts to more challenging exercises that allow for a deeper exploration of complex combinatorial situations. Simple cases are treated first before moving on to general and more advanced cases. Additional features of the book include: • Approximately 700 carefully structured problems designed for readers at multiple levels, many with hints and/or short answers • Numerous examples that illustrate problem solving using both combinatorial reasoning and sophisticated algorithmic methods • A novel approach to the study of recurrence sequences, which simplifies many proofs and calculations • Concrete examples and diagrams interspersed throughout to further aid comprehension of abstract concepts • A chapter-by-chapter review to clarify the most crucial concepts covered Combinatorial Reasoning: An Introduction to the Art of Counting is an excellent textbook for upper-undergraduate and beginning graduate-level courses on introductory combinatorics and discrete mathematics.
Book Synopsis Solutions Manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting by : Duane DeTemple
Download or read book Solutions Manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting written by Duane DeTemple and published by John Wiley & Sons. This book was released on 2014-09-29 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: COMBINATORIAL REASONING Showcases the interdisciplinary aspects of combinatorics and illustrates how to problem solve with a multitude of exercises Written by two well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting presents a clear and comprehensive introduction to the concepts and methodology of beginning combinatorics. Focusing on modern techniques and applications, the book develops a variety of effective approaches to solving counting problems. Balancing abstract ideas with specific topical coverage, the book utilizes real-world examples with problems ranging from basic calculations that are designed to develop fundamental concepts to more challenging exercises that allow for a deeper exploration of complex combinatorial situations. Simple cases are treated first before moving on to general and more advanced cases. Additional features of the book include: Approximately 700 carefully structured problems designed for readers at multiple levels, many with hints and/or short answers Numerous examples that illustrate problem solving using both combinatorial reasoning and sophisticated algorithmic methods A novel approach to the study of recurrence sequences, which simplifies many proofs and calculations Concrete examples and diagrams interspersed throughout to further aid comprehension of abstract concepts A chapter-by-chapter review to clarify the most crucial concepts covered Combinatorial Reasoning: An Introduction to the Art of Counting is an excellent textbook for upper-undergraduate and beginning graduate-level courses on introductory combinatorics and discrete mathematics.
Book Synopsis Solutions Manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting by : Duane DeTemple
Download or read book Solutions Manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting written by Duane DeTemple and published by John Wiley & Sons. This book was released on 2014-08-19 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: COMBINATORIAL REASONING Showcases the interdisciplinary aspects of combinatorics and illustrates how to problem solve with a multitude of exercises Written by two well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting presents a clear and comprehensive introduction to the concepts and methodology of beginning combinatorics. Focusing on modern techniques and applications, the book develops a variety of effective approaches to solving counting problems. Balancing abstract ideas with specific topical coverage, the book utilizes real-world examples with problems ranging from basic calculations that are designed to develop fundamental concepts to more challenging exercises that allow for a deeper exploration of complex combinatorial situations. Simple cases are treated first before moving on to general and more advanced cases. Additional features of the book include: Approximately 700 carefully structured problems designed for readers at multiple levels, many with hints and/or short answers Numerous examples that illustrate problem solving using both combinatorial reasoning and sophisticated algorithmic methods A novel approach to the study of recurrence sequences, which simplifies many proofs and calculations Concrete examples and diagrams interspersed throughout to further aid comprehension of abstract concepts A chapter-by-chapter review to clarify the most crucial concepts covered Combinatorial Reasoning: An Introduction to the Art of Counting is an excellent textbook for upper-undergraduate and beginning graduate-level courses on introductory combinatorics and discrete mathematics.
Book Synopsis The Assessment Challenge in Statistics Education by : Iddo Gal
Download or read book The Assessment Challenge in Statistics Education written by Iddo Gal and published by . This book was released on 1997 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses conceptual and pragmatic issues in the assessment of statistical knowledge and reasoning skills among students at the college and precollege levels, and the use of assessments to improve instruction. It is designed primarily for academic audiences involved in teaching statistics and mathematics, and in teacher education and training. The book is divided in four sections: (I) Assessment goals and frameworks, (2) Assessing conceptual understanding of statistical ideas, (3) Innovative models for classroom assessments, and (4) Assessing understanding of probability.
Book Synopsis Combinatorics and Reasoning by : Carolyn A. Maher
Download or read book Combinatorics and Reasoning written by Carolyn A. Maher and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics and Reasoning: Representing, Justifying and Building Isomorphisms is based on the accomplishments of a cohort group of learners from first grade through high school and beyond, concentrating on their work on a set of combinatorics tasks. By studying these students, the editors gain insight into the foundations of proof building, the tools and environments necessary to make connections, activities to extend and generalize combinatoric learning, and even explore implications of this learning on the undergraduate level. This volume underscores the power of attending to basic ideas in building arguments; it shows the importance of providing opportunities for the co-construction of knowledge by groups of learners; and it demonstrates the value of careful construction of appropriate tasks. Moreover, it documents how reasoning that takes the form of proof evolves with young children and discusses the conditions for supporting student reasoning.
Book Synopsis Automated Reasoning with Analytic Tableaux and Related Methods by : Roy Dyckhoff
Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Roy Dyckhoff and published by Springer. This book was released on 2006-12-30 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2000, held in St Andrews, Scotland, UK, in July 2000.The 23 revised full papers and 2 system descriptions presented were carefully reviewed and selected from 42 submissions. Also included are 3 invited lectures and 6 nonclassical system comparisons. All current issues surrounding the mechanization of reasoning with tableaux and similar methods are addressed - ranging from theoretical foundations to implementation, systems development, and applications, as well as covering a broad variety of logical calculi.
Book Synopsis Exploring Probability in School by : Graham A. Jones
Download or read book Exploring Probability in School written by Graham A. Jones and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring Probability in School provides a new perspective into research on the teaching and learning of probability. It creates this perspective by recognizing and analysing the special challenges faced by teachers and learners in contemporary classrooms where probability has recently become a mainstream part of the curriculum from early childhood through high school. The authors of the book discuss the nature of probability, look at the meaning of probabilistic literacy, and examine student access to powerful ideas in probability during the elementary, middle, and high school years. Moreover, they assemble and analyse research-based pedagogical knowledge for teachers that can enhance the learning of probability throughout these school years. With the book’s rich application of probability research to classroom practice, it will not only be essential reading for researchers and graduate students involved in probability education; it will also capture the interest of educational policy makers, curriculum personnel, teacher educators, and teachers.
Book Synopsis Statistics in Early Childhood and Primary Education by : Aisling Leavy
Download or read book Statistics in Early Childhood and Primary Education written by Aisling Leavy and published by Springer. This book was released on 2018-07-23 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compilation focuses on the theory and conceptualisation of statistics and probability in the early years and the development of young children’s (ages 3-10) understanding of data and chance. It provides a comprehensive overview of cutting-edge international research on the development of young learners’ reasoning about data and chance in formal, informal, and non-formal educational contexts. The authors share insights into young children’s statistical and probabilistic reasoning and provide early childhood educators and researchers with a wealth of illustrative examples, suggestions, and practical strategies on how to address the challenges arising from the introduction of statistical and probabilistic concepts in pre-school and school curricula. This collection will inform practices in research and teaching by providing a detailed account of current best practices, challenges, and issues, and of future trends and directions in early statistical and probabilistic learning worldwide. Further, it will contribute to future research and theory building by addressing theoretical, epistemological, and methodological considerations regarding the design of probability and statistics learning environments for young children.
Book Synopsis Lesson Study in Inclusive Educational Settings by : Sui Lin Goei
Download or read book Lesson Study in Inclusive Educational Settings written by Sui Lin Goei and published by Routledge. This book was released on 2021-04-12 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lesson Study has been shown to be a systematic way of building teachers’ knowledge by allowing them to share their knowledge with each other. While much has been written about the benefits of Lesson Study in science and mathematics education, this book analyses its impact on education for children with special needs. It studies the ways in which the Lesson Study process is implemented in different educational contexts in the Netherlands, Singapore, the UK, and Sweden—countries which propagate more inclusive learning environments regardless of varying degrees of student capacities. In addition to making transcultural comparisons regarding concepts, procedures, and instruments in the use of Lesson Study in these four countries, this book will provide practice-based suggestions for teachers to formulate collaborative lesson plans.
Book Synopsis Stepping Stones for the 21st Century by :
Download or read book Stepping Stones for the 21st Century written by and published by BRILL. This book was released on 2007-01-01 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the years a number of "must read" articles and book chapters have appeared—work that has formed the foundational stepping stones of mathematics education research for the 21st century. Twelve such seminal articles have been reproduced in this book. Each is accompanied by two independent appraisals of the longer term impact of the work within and beyond the mathematics education research community. Collectively these writings cover a wide range of topics and provide a broad overview of the outstanding contributions of Australasian mathematics education research prior to 2000.
Book Synopsis Thought and Knowledge by : Diane F. Halpern
Download or read book Thought and Knowledge written by Diane F. Halpern and published by Psychology Press. This book was released on 2013-11-07 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling textbook, written by award-winning educator and past president of the American Psychological Association, Diane F. Halpern, applies theory and research from the learning sciences to teach students the thinking skills they need to succeed in today's world. This new edition retains features from earlier editions that have helped its readers become better thinkers. A rigorous academic grounding based in cognitive psychology is presented in a clear writing style with a humorous tone and supported by numerous practical examples and anecdotes. Thought and Knowledge, Fifth Edition has been revised to help students meet the challenges of a global neighborhood and make meaningful conclusions from the overwhelming quantity of information now available at the click of a mouse. The skills learned with this text will help students learn more efficiently, research more productively, and present logical, informed arguments. Thought and Knowledge, Fifth Edition is appropriate for use as a textbook in critical thinking courses offered in departments of psychology, philosophy, English, humanities, or as a supplement in any course where critical thinking is emphasized.
Book Synopsis Extremal Combinatorics by : Stasys Jukna
Download or read book Extremal Combinatorics written by Stasys Jukna and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and informative proofs which may be called the gems of the theory. A wide spectrum of the most powerful combinatorial tools is presented, including methods of extremal set theory, the linear algebra method, the probabilistic method and fragments of Ramsey theory. A thorough discussion of recent applications to computer science illustrates the inherent usefulness of these methods.
Book Synopsis The Handbook of Life-Span Development, Volume 1 by : Richard M. Lerner
Download or read book The Handbook of Life-Span Development, Volume 1 written by Richard M. Lerner and published by John Wiley & Sons. This book was released on 2010-12-14 with total page 1624 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past fifty years, scholars of human development have been moving from studying change in humans within sharply defined periods, to seeing many more of these phenomenon as more profitably studied over time and in relation to other processes. The Handbook of Life-Span Development, Volume 1: Cognition, Biology, and Methods presents the study of human development conducted by the best scholars in the 21st century. Social workers, counselors and public health workers will receive coverage of of the biological and cognitive aspects of human change across the lifespan.
Book Synopsis Enhancing Thinking Skills in the Sciences and Mathematics by : Diane F. Halpern
Download or read book Enhancing Thinking Skills in the Sciences and Mathematics written by Diane F. Halpern and published by Psychology Press. This book was released on 1992 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years national and international reports have been issued that speak of the sad state of the educational system in the United States and the desperate need for reform in teaching science and mathematics. Cognitive psychologists and mathematics and science educators have responded to this need by designing instructional programs that are more compatible with our knowledge of how people acquire, use, and retain knowledge. Many of the guiding principles that underlie these programs are presented in this volume such as teaching comprehension of scientific text through a problem-solving approach: problem planning and representation, selection of relevant information, and simultaneous monitoring of both the specifics of the problem and the mental processes being used to solve it.
Book Synopsis Enumerative Combinatorics by : Richard Stanley
Download or read book Enumerative Combinatorics written by Richard Stanley and published by Cambridge University Press. This book was released on 2023-08-17 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised second volume of the standard guide to enumerative combinatorics, including the theory of symmetric functions and 159 new exercises.
Book Synopsis Combinatorics: The Art of Counting by : Bruce E. Sagan
Download or read book Combinatorics: The Art of Counting written by Bruce E. Sagan and published by American Mathematical Soc.. This book was released on 2020-10-16 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.
Book Synopsis Combinatorial and Additive Number Theory II by : Melvyn B. Nathanson
Download or read book Combinatorial and Additive Number Theory II written by Melvyn B. Nathanson and published by Springer. This book was released on 2018-01-13 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on talks from the 2015 and 2016 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 19 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003, the workshop series surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, primality testing, and cryptography are among the topics featured in this volume. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. Researchers and graduate students interested in the current progress in number theory will find this selection of articles relevant and compelling.
