This document is a collection of eight games from four continents. Students use mathematics that is directly relevant to them as they take part in the games. The first five games (NIM, Kalah, Tower of Hanoi, Shongo Networks, and Magic Squares) feature presentation instructions that describe multiple-session classroom activities for grades 5-8.…

This guide contains practical steps for integrating portfolios into any K-12 classroom and tips for effective classroom management of portfolios. It also contains actual examples of portfolios in action in a variety of subject areas. The chapters are: (1) "Starting Out: Designing Your Portfolio" (James Barton and Angelo Collins); (2) "Preparing…

Examples of what it means to apply the standards developed by the National Council of Teachers of Mathematics (NCTM) in actual classrooms are provided, with profiles of 10 teachers who translate the standards into real and workable classroom practices. The following chapters are included: (1) "Introducing the NCTM Reform Documents"; (2)…

Traditionally, vocational mathematics and precollege mathematics have been separate in schools. This book illuminates the interplay between technical and academic mathematics. This collection of essays by mathematicians, educators, and other experts is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to…

Written as an objective critical assessment, this book is the first linguistic theory guide to categorial grammars. Categorial grammars offer a radical alternative to the phrase-structure paradigm, with roots in the philosophy of language, logic, and algebra. Their historical evolution is outlined and their formal basis is discussed, beginning…

The goal of this book is to help students make sense of mathematics and become confident in their ability to do so. Section 1: "Foundations of Teaching Mathematics," includes chapters entitled: (1) "Teaching Mathematics: Reflections and Directions"; (2) "Exploring What It Means to Do Mathematics"; (3) "Developing Understanding in Mathematics"; (4)…

This updated reprint of a classic work presents design analysis of geometric patterns and information helpful to constructing mathematical drawings of industrial and achitectural features. Both simple and complex designs are given. Problems combine both algebra and geometry. The work is divided into six chapters which are further divided into…

Research Ideas for the Classroom is a three-volume series of research interpretations for early childhood, middle grades, and high school mathematics classrooms. Each volume looks at research from the perspective of the learner, the content, and the teacher, and chapters are co-authored by a researcher and a teacher. Chapter titles in the high…

Research Ideas for the Classroom is a three-volume series of research interpretations for early childhood, middle grades, and high school mathematics classrooms. Each volume looks at research from the perspective of the learner, the content, and the teacher, and chapters are co-authored by a researcher and a teacher. Chapter titles in the middle…

This book synthesizes the implications of research done by the National Center for Research in Mathematical Sciences (NCRMS) by integrating two bodies of research: the study of teaching and the study of learning mathematics. This research was organized around content domains and/or continuing issues in education such as equity and assessment of…

This book is one of four books in the Science-by-Design Series created by TERC and funded by the National Science Foundation (NSF). It challenges high school students to investigate the physics of boat performance and work with systems and modeling. Through research, design, testing, and evaluation of a model boat, students experience the…

This book provides exemplars of the types of computer-based learning environments represented by the theoretical camps within the field and the practical applications of the theories. The contributors discuss a variety of computer applications to learning, ranging from school-related topics such as geometry, algebra, biology, history, physics, and…

This book contains 22 papers that are designed to situate research and practice in adults learning mathematics within the wider field of lifelong learning and lifelong education. The following papers are included: "Introduction" (Diana Coben, Gail E. FitzSimons, John O'Donoghue); "Review of Research on Adults Learning…

The National Assessment of Educational Progress (NAEP) provides data about what children know and can do with the goal of using this information to improve education. This book contains interpretive reports based on results from the mathematics assessments conducted by the NAEP regarding: (1) the cognitive performance of students at grades 4, 8,…

Women and mathematics have been thought of as two totally separate subjects for decades. In July, 1994 a group of mathematicians from around the country gathered in Berkeley, CA for three days to discuss ways to increase the representation of women in Ph.D. programs in the mathematical sciences. The primary goal of this conference was to broaden…