Educational: Mathematics and numeracy

Book SynopsisThis colorful, engaging workbook reinforces the lessons in the First Grade Math with Confidence Instructor Guide. Simple and straightforward workbook pages give children practice with new concepts and also provide daily review of previously-learned skills. short, simple pages give children written practice without tiring small hands Daily review helps children retain what they have learned all answers provided in the Instructor Guide for easy correcting colorful, whimsical illustrations With First Grade Math with Confidence, you can rest assured that your child will master all the concepts typically covered in first grade counting, comparing, and writing numbers to 100 addition and subtraction facts to 20 addition and subtraction word problems beginning place-value and mental math shapes, money, time, and measurement. Once your students complete this program, they’ll be well-prepared to move on to second-grade math.

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Book SynopsisKumon Math Skills Workbooks are unique because they focus on teaching one specific skill from start to finish. With just the right amount of practice, children master each topic and gain confidence without becoming bored or frustrated.

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Book SynopsisKumon Math Skills Workbooks are unique because they focus on teaching one specific skill from start to finish. With just the right amount of practice, children master each topic and gain confidence without becoming bored or frustrated.

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Book SynopsisKumon Math Skills Workbooks are unique because they focus on teaching one specific skill from start to finish. With just the right amount of practice, children master each topic and gain confidence without becoming bored or frustrated.

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Book SynopsisKumon MathBites Workbooks are meticulously crafted learning resources that aim to boost the confidence of young learners struggling with confidence in math while nurturing their calculation skills and fostering a sense of achievement. These workbooks are thoughtfully designed to contain bite-sized tasks on each page, perfect for children to complete within a few minutes. The scaffolded structure of each page emphasizes perseverance, practice, and effort, which, in turn, fosters a sense of motivation in children to continue learning.This workbook is designed to help children become independent learners in by providing them with the opportunity to check their answers and correct their errors, these workbooks empower children to master fundamental academic skills while building their confidence and promoting self-reliance. As children work through the pages of the Kumon MathBites workbook, they are encouraged to develop into self-motivated learners, setting a solid foundation for academic success and lifelong learning.

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Book SynopsisThis unique book presents mathematical competition problems primarily aimed at upper elementary school students, but are challenging for students at any age. These problems are drawn from the complete papers of the legendary Leningrad Mathematical Olympiads that were presented to the city’s Grade Five students. The period covered is between 1979 – the earliest year for which relevant records could be retrieved – and 1992, when the former Soviet Union was dissolved.The respective chapters reflect the famous four-step approach to problem solving developed by the great Hungarian mathematics educator Gyorgy Pólya. In Chapter One, the Grade Five Competition problems from the Leningrad Mathematical Olympiads from 1979 to 1992 are presented in chronological order. In Chapter Two, the 83 problems are loosely divided into 26 sets of three or four related problems, and an example is provided for each one. Chapter Three provides full solutions to all problems, while Chapter Four offers generalizations of the problems.This book can be used by any mathematically advanced student at the upper elementary school level. Teachers and organizers of outreach activities such as mathematical circles will also find this book useful. But the primary value of the book lies in the problems themselves, which were crafted by experts; therefore, anyone interested in problem solving will find this book a welcome addition to their library.Table of Contents- Preface.- Understand the Problem.- Make a Plan.- Carry Out the Plan.- Look Back.- Short Answers.- First Problem Index.- Second Problem Index.

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Book SynopsisGetting certified to teach high school mathematics typically requires completing a course in real analysis. Yet most teachers point out real analysis content bears little resemblance to secondary mathematics and report it does not influence their teaching in any significant way. This textbook is our attempt to change the narrative. It is our belief that analysis can be a meaningful part of a teacher's mathematical education and preparation for teaching. This book is a companion text. It is intended to be a supplemental resource, used in conjunction with a more traditional real analysis book.The textbook is based on our efforts to identify ways that studying real analysis can provide future teachers with genuine opportunities to think about teaching secondary mathematics. It focuses on how mathematical ideas are connected to the practice of teaching secondary mathematics–and not just the content of secondary mathematics itself. Discussions around pedagogy are premised on the belief that the way mathematicians do mathematics can be useful for how we think about teaching mathematics. The book uses particular situations in teaching to make explicit ways that the content of real analysis might be important for teaching secondary mathematics, and how mathematical practices prevalent in the study of real analysis can be incorporated as practices for teaching.This textbook will be of particular interest to mathematics instructors–and mathematics teacher educators–thinking about how the mathematics of real analysis might be applicable to secondary teaching, as well as to any prospective (or current) teacher who has wondered about what the purpose of taking such courses could be.Table of ContentsChapter 1: Teaching Principles.- Chapter 2: Equivalent Real Numbers and Infinite Decimals.- Chapter 3: Sequence Convergence and Irrational Decimal Approximations.- Chapter 4: Algebraic Limit Theorem and Error Accumulation.- Chapter 5: Divergence Description and Criteria and Logic in Communication.- Chapter 6: Continuity and Definitions.- Chapter 7: Intermediate Value Theorem and Implicit Assumptions.- Chapter 8: Continuity, Monotonicity, Inverse Functions and Solving Equations.- Chapter 9: Differentiability and the Secant Slope Function.- Chapter 10: Differentiation Rules and Attending to Scope.- Chapter 11: Taylor’s Theorem and Modeling Complex with Simple.- Chapter 12: The Riemann Integral and Area-Preserving Transformations.- Chapter 13: The Fundamental Theorem of Calculus and Conceptual Explanation.

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Book SynopsisCreativity of an Aha! Moment and Mathematics Education introduces bisociation, the theory of Aha! moment creativity into mathematics education. It establishes relationships between Koestler’s bisociation theory and constructivist learning theories. It lays down the basis for a new theory integrating creativity with learning to describe moments of insight at different levels of student development. The collection illuminates the creativity of the eureka experience in mathematics through different lenses of affect, cognition and conation, theory of attention and constructivist theories of learning, neuroscience and computer creativity. Since Aha! is a common human experience, the book proposes bisociation as the basis of creativity for all. It discusses how to facilitate and assess Aha! creativity in mathematics classrooms. Contributors are: William Baker, Stephen Campbell, Bronislaw Czarnocha, Olen Dias, Gerald Goldin, Peter Liljedahl, John Mason, Benjamin Rott, Edme Soho, Hector Soto, Hannes Stoppel, David Tall, Ron Tzur and Laurel Wolf.

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