Domino games are used to illustrate problem-solving techniques in a college principles-of-mathematics course. Students develop tables and use Pascal's triangle to find the total number of pips and the sum of numbers on the pieces. (DC)

Describes learning activities for elementary and secondary school classes that use hypermedia software to teach language arts, including book reviews and interactive fiction; science; social studies; communication among autistic preschoolers; problem solving with Legos blocks; and other interactive projects. (LRW)

Presents a cooperative-learning lesson in which high school students visit stations equipped with different tools to establish the midpoint of a Pixy Stix, a brand of candy-filled straw. Provides solutions for two potential stations, suggestions to extend the activity, and two activity worksheets. (MDH)

Described are activities within extended problem-solving settings which allow middle school mathematics students, particularly at-risk students, to determine applications for a wide range of mathematical processes and concepts. Emphasis is on reality-based projects which often require more than one step as preparation for future consumer…

Connections between science and mathematics are emphasized in a series of activities related to the heart. Worksheets designed for multiple grade levels investigate (1) How Big Is Your Heart? (levels K-2); (2) Every Beat of Your Heart (levels 3-4); (3) What's the Beat? (level 5-6), and Heartifacts (level 7-8). Extensions of the activities are…

Presents a hands-on mathematics task that can be investigated experimentally to produce a sequence of numbers. Describes ways to extrapolate values of the table of numbers by formulating and verifying a conjecture related to the pattern in the numbers. (MDH)

Described is a mathematics resource laboratory where students use a variety of computer materials to enhance, reinforce, and broaden their concepts of first- and second-year algebra and geometry. Included are sample laboratory sheets and the answers. (KR)

This review features new examples of using the computer relative to college-level mathematics to enhance pedagogy, solve problems, and model real-life situations. Included is a LOGO program that can be used to create and to stimulate subsequent investigations of spirolaterals, those figures generated by repeatedly drawing basic loops. (JJK)

Presented is an activity in which probability and percents are taught using a basketball computer simulation. Computer programs that replicate the free-throw accuracy of college and professional stars and allow students to compete with those stars are included. (KR)

Discussed is the research project that used small-group problem solving as a primary instructional strategy of second grade mathematics for an entire year. The mutual construction of classroom norms for cooperative learning style is illustrated and examples of resulting learning opportunities are given. (MDH)

Describes the process of problem identification, data collection, and generalization in a mathematical experiment to find the speed at which a bug travels at the end of a fan blade. Presents the learning outcomes of the experiment and possible implications of using this teaching method. (MDH)

Discusses a problem in which students are asked to determine a way of cutting the corners off different denominations of paper currency enabling visually impaired individuals to distinguish between the bills with the condition that further cuts will not increase the value of the bills. Reconstructs a solution from classroom experiences. (MDH)

Presents a series of solution methods to the Eight Queens Problem of placing eight queens on a chess board so that no one queen can capture another. Solution methods progress from empirical approaches to the use of computer algorithms. Geometric transformations are used to find other solutions. (MDH)

The relationship between mental models used in problem solving and strategies children use when problem solving with manipulative materials are discussed. Teaching strategies for bridging the gap between the two are suggested. (CW)

Four activities which illustrate the use of manipulative materials and computers in problem solving at the elementary level are presented. Each activity discusses large group activity and a computer activity. (CW)