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Compared to other popular math books, there is more algebraic manipulation, and more applications of algebra in number theory and geometry Presents an exciting variety of topics to motivate beginning students May be used as an introductory course or as background reading
Motivating Mathematics demonstrates that pupils can be motivated by being given the Big Picture, including a clearer picture of the nature of maths, and by linking topics to the sciences, rather than teaching each topic in isolation. The author emphasises the many virtues of problem-solving, strongly emphasised in secondary education specifications, especially the role of perception, and the ability of pupils to create their own proofs and to appreciate 'cool' ideas and arguments. David Wells draws on his extensive experience of teaching primary and secondary pupils and his understanding not just of how students think about mathematics, but of how they feel about a subject which so often seems merely a collection of facts and rules to be mastered. This book will be of immediate practical use to teachers and students at all levels. Anyone involved in mathematics education will benefit from reading this inspiring book, whether classroom teacher, trainer, teacher in training or professional development, or even parent. The book will also be of interest to policy makers and others with an investment in the future of mathematics education.
Written for liberal arts students and based on the belief that learning to solve problems is the principal reason for studying mathematics, Karl Smith introduces students to Polya's problem-solving techniques and shows them how to use these techniques to solve unfamiliar problems that they encounter in their own lives. Through the emphasis on problem solving and estimation, along with numerous in-text study aids, students are assisted in understanding the concepts and mastering the techniques. In addition to the problem-solving emphasis, THE NATURE OF MATHEMATICS is renowned for its clear writing, coverage of historical topics, selection of topics, level, and excellent applications problems. Smith includes material on such practical real-world topics as finances (e.g. amortization, installment buying, annuities) and voting and apportionment. With the help of this text, thousands of students have experienced mathematics rather than just do problems--and benefited from a writing style that boosts their confidence and fosters their ability to use mathematics effectively in their everyday lives. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.
A guide to effective mathematical education, including a collection of topics and puzzles which aim to reignite interest in mathematics.
Previous eds. titled: Make a difference.
THINKERS are made, not born, and scores on entrance exams are improved by reviewing the information you may have forgotten! There is an old adage that students need to understand: Mathematics is not a spectator sport! What does that mean? An important part of becoming a CRITICAL THINKER, or a valid DECISION MAKER, besides asking questions, is to recognize words that need defining, and that all decisions are based on definitions, assumptions, and previous accepted rules or laws. All people are eager to be THINKERS, but that ability is not a gift, it is learned, practiced and even forgotten. These activities will review some of the types and methods first encountered in geometry and some problems that are similar to the ones on the SAT, ACT and other entrance exams. In the March 2010 issue of School Science and Mathematics, it was pointed out the two major weaknesses in college freshmen are in geometry and Critical Thinking, hence these 98 activities are involving direct and indirect thinking skills, forms of implications and other types all designed to convert those difficult special days into unique learning fun days. These activities are designed for students (working in small groups) to create the learning situations by doing them with the teacher guidance assisting them to the conclusions. Many of my former students commented that what they enjoyed and learned from the classes, more than anything else, was activities like these, hence, my reason to share some of these with other teachers.
Category theory provides a general conceptual framework that has proved fruitful in subjects as diverse as geometry, topology, theoretical computer science and foundational mathematics. Here is a friendly, easy-to-read textbook that explains the fundamentals at a level suitable for newcomers to the subject. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. It gives the basic definitions; goes through the various associated gadgetry, such as functors, natural transformations, limits and colimits; and then explains adjunctions. The material is slowly developed using many examples and illustrations to illuminate the concepts explained. Over 200 exercises, with solutions available online, help the reader to access the subject and make the book ideal for self-study. It can also be used as a recommended text for a taught introductory course.

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