This unit is 1 of 12 developed for the university classroom portion of the Mathematics-Methods Program (MMP), created by the Indiana University Mathematics Education Development Center (MEDC) as an innovative program for the mathematics training of prospective elementary school teachers (PSTs). Each unit is written in an activity format that…

These hearings focused on topics and issues related to the status, quality, and improvement of K-12 science and mathematics in the Pittsburgh area. Science and mathematics teachers, school administrators, school board members, industry leaders, and college officials provided a firsthand description of the nature and direction of science and…

This volume represents an effort to develop a definitive reference work on research in mathematics education. The reference is divided into two parts. Part 1, on the research process, focuses on problems of research methods and their relevance to research in mathematics education. Part 1 also introduces the beginner to some of the issues and…

A three-dimensional classification system of mathematical problems is given. A background philosophy is constructed through an analysis of different approaches to problem-solving research, leading to the statement of 5 theses and the objectives for the study. An exploratory study of mathematical problem-solving processes is conducted within this…

Collections of small objects have often been used in mathematics programs to develop classification and patterning skills. This book synthesizes that body of experience to create a new and original sequence of activities that build upon each other in order to draw out the greatest possible educational richness from the treasures. Treasure Boxes is…

Describes one unit on analyzing and writing mystery stories in a problem-solving seminar for seventh graders that incorporates the use of television, cooperative learning, and reading and writing in the mathematics class. Provides a sample activity sheet and examples of seventh-grade mystery stories. (Contains 14 references.) (MDH)

Presents three teaching ideas: (1) a scoring rubric to assess students' ability to communicate attempts at solving homework problems; (2) a three-part measurement activity using trigonometry, maps, and compasses to locate hidden treasure; and (3) a demonstration of the effects of numerical coefficients on graphs of quadratic functions. (MDH)

This paper describes (1) the role of reflection in learning and teaching as presented at a Philippines-Australia Science and Mathematics Education Project training program; (2) the use of writing as a tool for reflection; and (3) examples of teacher reactions to the training on reflection. (25 references) (MDH)

Discusses the use of technology in solving compound interest-rate problems that can be modeled by linear relationships. Uses a graphing calculator to solve the specific problem of determining the amount of money that can be borrowed to buy a car for a given monthly payment and interest rate. (MDH)

Presents the method of employing student-written playlets and a technique called "stage freeze" to help students identify appropriate operations during problem solving. Provides five sample playlets, a description of the method, and several beneficial results from using the method. (MDH)

Offers a field-tested stock market unit designed to develop mathematical skills involving fractions and decimals, basic understanding of the stock market, and hypothesis testing skills in real world situations. Includes tables displaying questions, tally sheets, and instructions, as well as a list of related activities. (MDH)

"Houghton Mifflin Mathematics" is a core curriculum for kindergarten through grade 6 students at all ability levels. According to its developer, "Houghton Mifflin Mathematics" emphasizes the five content strands and processes recommended by the National Council of Teachers of Mathematics Standards. At each grade level the…

Teaching is a complex, ongoing endeavor that involves a myriad of decisions. NCTM's Sixty-Sixth Yearbook is organized around three aspects of teaching: foundations for teaching, the enactment of teaching, and the support of teaching nurtured in preservice education and strengthened throughout a teacher's career. The accompanying professional…

In this note we develop a framework that makes explicit the inherent dynamic structure of certain mathematical definitions by means of the four facets of context-entity-process-object. These facets and their interrelations are then used to capture and interpret specific aspects of student constructions of the concept of solution to first order…

Are new approaches to transforming undergraduate learning in science, technology, engineering, and mathematics (STEM) making a difference? If so, how? How do people know? And what next? These are the questions explored in a 1999 report from Project Kaleidoscope, which concluded by making predictions and recommendations for the coming decade. Now…