Academic scholars face a difficult challenge when attempting to grasp the intricate world of mathematics. The complexity of mathematical concepts often lies hidden beneath layers of formulas and procedures, obscuring their true essence. Traditional educational resources often fall short in conveying the profound meaning behind these concepts,…

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

"We can never be sure that there is not some wild, untamed piece of mathematics ready to spring out on us... This is what keeps mathematics enchanting." This is how Jim Neyland, one of the contributing authors to this book, describes mathematics. His enthusiasm and energy are echoed throughout by many of the other writers. This is a book to…

Teachers know that Differentiated Instruction (DI) helps all students to learn. Yet DI challenges teachers, and nowhere more than in mathematics. In this new book, written specifically for secondary mathematics teachers, the authors cut through the difficulties with two powerful and universal strategies that teachers can use across all math…

How can teachers learn what they need to know? Every community of educators, regardless of field or specialization, can benefit from being well informed about current research findings. A considerable amount of mathematics education research exists to inform teachers and administrators about teaching and learning mathematics. Research can show…

How can teachers learn what they need to know? Every community of educators, regardless of field or specialization, can benefit from being well informed about current research findings. A considerable amount of mathematics education research exists to inform teachers and administrators about teaching and learning mathematics. Research can show…

This is a School Mathematics Study Group (SMSG) probability text for primary school students. The main goal of the text is to introduce some basic ideas of probability. The text is written at the level of a child's intuitive knowledge of what constitutes "an equal chance" or "a better chance." The authors suggest that there are…

This volume is based on a conference on the teaching of probability and statistics held in 1969 by the Comprehensive School Mathematics Program (CSMP) and the Central Midwestern Regional Educational Laboratory (CEMREL). The purpose of the conference was to study a broad range of opinion on the teaching of probability and statistics and to…

The use of statistical methods in the design and analysis of discrete algorithms is explored. The introductory chapter contains a literature survey and background material on probability theory. In Chapter 2, probabilistic approximation algorithms are discussed with the goal of exposing and correcting some oversights in previous work. Chapter 3…

Unit 18 in the SMSG secondary school mathematics series is a student text covering the following topics: logarithms and exponents; trigonometry; the system of vectors; polar form of complex numbers; sequences and series; permutations, combinations, and the binomial theorem; and algebraic structures. (DT)

This brief text was written to provide more extensive treatment of descriptive statistics than is ordinarily available in modern statistics textbooks. It is intended for use in conjunction with any college level text. The booklet consists of an introduction, three content oriented chapters, and four appendices devoted to computer programming…

One of 12 books developed for use with the core material (Book O) of the Elements of Mathematics Program, this text covers material well beyond the scope of the usual secondary mathematics sequences. These materials are designed for highly motivated students with strong verbal abilities; mathematical theories and ideas are developed through…

This book contains the tenth chapter of a pilot mathematics sequence for the seventh and eighth grades. The content of the sequence is to serve as a vehicle for the development of relevant computational skills, mathematical reasoning, and geometric perception in three dimensions and is to reflect the application of mathematics to the social and…

One of 12 books developed for use with the core material (Book O) of the Elements of Mathematics Program, this text covers material well beyond the scope of the usual secondary mathematics sequences. These materials are designed for highly motivated students with strong verbal abilities; mathematical theories and ideas are developed through…

This sixth unit in the SMSG junior high mathematics series is a student text covering the following topics: permutations and selections; probability; similar triangles and variation; non-metric geometry; volumes and surface areas; the sphere; and unsolved problems in mathematics. (DT)