Encouraging students to reason with quantitative relationships can help them develop, understand, and explore mathematical models of real-world phenomena. Through two examples--modeling the motion of a speeding car and the growth of a Jactus plant--this article describes how teachers can use six practical tips to help students develop quantitative…

This manual consists of an introduction to our Academic Peer Instruction (API) program at LaGuardia Community College, a compilation of the materials we have developed and use for training of our tutors (with answers), and a bibliography. API is based on an internationally recognized peer tutoring program, Supplemental Instruction. (Contains 6…

The Math Forum Problems of the Week Library is designed to leverage the power of interactive technology to hold student interest while increasing their success as strategic thinkers. The Math Forum Library is an online source of non-routine challenges in which problem solving and mathematical communication are key elements of every problem. This…

Describes a problem-based learning strategy which helps train principals for an increasingly demanding job. Conceptualizes problem-based learning; provides a rationale for this strategy; and uses a real example from a course in problem-based learning taught at the University of Georgia. (RS)

Suitable for those contemplating a program alternative to school suspension, this student handbook describes a special class for middle school students who have been removed from their regular classes because of serious behavior problems. Separate sections describe the nature of the class, reasons for the students' placement in the class, the…

This book is a year-long program of daily exercises in problem solving for 2nd and 3rd grade students that presents 144 lessons, each with seven problems. The problems cover number sense, computation, measurements, geometry, problem solving, and patterns. The material is presented in a sequential fashion with concepts repeated and expanded, and…

Problem Solving in Mathematics (PSM) is a program of problem-solving lessons for grades 4-9. The content objectives of these lessons are similar to those of most textbooks. However, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the development of such skills. These strategies include direct…

Details are provided of a program on actuarial training developed at the State University of New York (SUNY) at Binghamton through the Department of Mathematical Sciences. An outline of its operation, including a few statistics on students in the program, is included. (MP)

Details are provided about the American High School Mathematics Examination (AHSME), the American Invitational Mathematics Examination (AIME), and the USA Mathematical Olympiad (USAMO). The AIME will first be offered in 1983 as an intermediate examination between the AHSME and the USAMO. An appendix provides several sample problems. (MP)

Alternative techniques are suggested to some of the conventional approaches to teaching problem solving. Three general, conventional approaches are noted, and the nature and use of visual thinking is detailed as the fourth alternative. Examples of lessons with fifth graders using the fourth approach are provided to promote this method. (MP)

This document describes a teacher-developed, elementary school level program that teaches conflict resolution through children's literature. This is a whole language/peace education program in which children learn creative ways to solve conflicts by reading and writing stories about conflicts. The document opens with a reproduction of the program…

Details are provided of a seminar conducted at Loyola University on the construction and criticism of proofs. The seminar is geared towards sophomore mathematics and computer science majors. It is felt that the approach fills an important need in the mathematics curriculum. (MP)

Presented are example activities which are typical of the topic focus and methods of approach evident in the Algebraic Thinking in Children (ATIC) project. This project is aimed at assisting children to ultimately make sense of formal algebra when it is presented. (CW)

This article presents a classroom project that employs various techniques of active learning including role-playing, collaborative group work and writing. The project explores the recent creation of the European Monetary Union (EMU) with special emphasis on the introduction of the euro. The project assumes that the Americas have begun preliminary…

Samples of materials available to students from grades 4 through 12 at a Mathematics Center are reviewed. The examples are part of a collection of more than 200 mathematical tasks using solid materials in a new approach to problem solving. (MP)