Combinatorial Reasoning

Author : Duane DeTemple
Publisher : John Wiley & Sons
ISBN 13 : 1118652134
Total Pages : 478 pages
Book Rating : 4.38/5 ( download)

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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.

Author : Duane DeTemple
Publisher : John Wiley & Sons
ISBN 13 : 1118830784
Total Pages : 194 pages
Book Rating : 4.89/5 ( download)

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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 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.

Author : Iddo Gal
Publisher :
ISBN 13 : 9784274901584
Total Pages : 300 pages
Book Rating : 4.80/5 ( download)

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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.

Author : Carolyn A. Maher
Publisher : Springer Science & Business Media
ISBN 13 : 9400706154
Total Pages : 226 pages
Book Rating : 4.56/5 ( download)

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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.

Author : Roy Dyckhoff
Publisher : Springer
ISBN 13 : 3540450084
Total Pages : 440 pages
Book Rating : 4.85/5 ( download)

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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 440 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.

Author : Graham A. Jones
Publisher : Springer Science & Business Media
ISBN 13 : 0387245308
Total Pages : 394 pages
Book Rating : 4.00/5 ( download)

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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.

Author : Aisling Leavy
Publisher : Springer
ISBN 13 : 9811310440
Total Pages : 313 pages
Book Rating : 4.47/5 ( download)

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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.

Author : Sui Lin Goei
Publisher : Routledge
ISBN 13 : 1317361555
Total Pages : 237 pages
Book Rating : 4.58/5 ( download)

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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.

Author :
Publisher : BRILL
ISBN 13 : 908790150X
Total Pages : 264 pages
Book Rating : 4.09/5 ( download)

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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.

Author : Diane F. Halpern
Publisher : Psychology Press
ISBN 13 : 1134637861
Total Pages : 654 pages
Book Rating : 4.67/5 ( download)

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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.