Describes the Interactive Mathematics Program (IMP), a four-year curriculum that teaches algebra, geometry, and trigonometry together in a problem-solving process emphasizing logical analysis, inference, and deduction. Because the program presents mathematics in real-world contexts, teachers need time for consultation and planning. (LMI)

Presents activities designed to introduce a mathematical idea having several applications for determining the optimal location for a radio station's transmitter and the best locations for a fire station. Includes student worksheets and solutions. (KHR)

Presents a geometric problem and illustrates four different ways to solve it: (1) a synthetic approach; (2) a coordinate approach; (3) a vector approach; and (4) a transformation approach. (KHR)

Discusses several solutions--correct and incorrect--for a "Food for Thought" problem from the May 2000 issue. Emphasizes the importance of proportional reasoning. (KHR)

Investigates the differential effects of cooperative learning with or without metacognitive instruction on lower and higher achievers' solutions of mathematical authentic tasks. Results indicate that students exposed to metacognitive instruction within cooperative learning (COOP+META) significantly outperformed their counterparts exposed to…

A literature review analyzed training designs in four professional development approaches: case study, goal-based scenario, problem-based learning, and action learning. Case study and scenario tended to foster single-loop learning and solution of well-structured problems; problem-based and action learning fostered double-loop learning and…

Describes and evaluates a life skills program that focuses on addressing the special needs of female inmates. Analyses of pre- and post-test scores of program participants compared emotional empathy, self-esteem, coping resources, problem solving, parenting stress, employability, and well-being. Results suggest tat the program does address some of…

Examines the generalizability of the Problem Solving Inventory (PSI) through research with Black South African samples. The estimates of the factor structure as well as other reliability and validity estimates provided strong support for the generalizability of the PSI to South African Black college students. The results also provided partial…

Investigates the relationship between traditional physics textbook problem solving and conceptual understanding. Reports that students had many of the well-known conceptual difficulties with basic mechanics and that there was little correlation between the number of problems solved and conceptual understanding. (Contains 21 references.)…

Presents some ideas about how teachers can foster mathematical communication by encouraging students to find multiple solutions to problems. Discusses three problems that help develop communication ability in mathematics. Views communication of multiple solutions as an instructional strategy to help students make sense of mathematics. (KHR)

Uses poems incorporating mathematical terms to help students apply their knowledge of mathematics to another field and give evidence that what they had learned had become a useful and easily accessible part of their general experience. Includes assignment sheets. (KHR)

Presents four methods for solving a quadratic equation using graphing calculator technology: (1) graphing with the CALC feature; (2) quadratic formula program; (3) table; and (4) solver. Includes a worksheet for a lab activity on factoring quadratic equations. (KHR)

Describes a group project that involves geometry and falls into an area of mathematics known as operations research, which is crucial to making decisions in business and industry. Includes problem statements and project assessment guidelines and illustrates solutions. (KHR)

Examines the effects of training preservice teachers in collaborative problem solving, specifically collaboratively developed intervention scripts. Adherence to the scripts, outcomes for target students, and acceptability of the scripts were examined. Results demonstrated relatively high levels of teacher adherence to the collaboratively developed…

Presents a game of classifying objects according to their attributes using a three-set Venn diagram, then analyzing the classification of the objects to determine their accuracy. Requires students to capture opponents' game pieces (tangrams) by making mathematical arguments that identify misplaced pieces. (YDS)