Describes role-play centers in which children can do math problems, invent, experiment, write with a purpose, and act out adult career roles. Examples of centers include a doctor's office, a supermarket, a fix-it or inventor's workshop, a post office, a pet store, a zoo, a veterinary clinic, a museum, and a restaurant. (DKM)

Five exploratory activities arising from work by sixth-grade students are described. They concern geometric ideas and number concepts, including fractions. Illustrations are included. (MNS)

A one-to-one teaching session with a student is described and analyzed in an attempt to communicate how student attempts at discovery in mathematics can be thwarted by teachers who do not allow room for creativity. (MP)

Describes grade-appropriate weekly activities designed to appeal directly to students by giving them open-ended questions. Activities may be worked on individually, in pairs, or in small groups. This particular set of activities focuses on stories from literature involving measurement, earning money, marketing a product, and setting up a…

Highlights combinatorial problems appropriate for students aged 4 to 12 years that utilize manipulatives in a hands-on approach. Examines and identifies students' strategies and self-monitoring techniques that produce effective problem solving. (MDH)

Describes an activity that demonstrates a teaching-learning model in which students ask yes or no questions to determine an unknown number on a number line. Provides a sequence of five steps to carry out the activity and suggestions for extending and expanding the activity for different grade levels. (MDH)

Preservice elementary teachers worked cooperatively to explore the relationship between the measure of the central angle and the number of sides of regular polygons using the reflection of a line in a hinged mirror. The experience involved conjecture and experimentation, communication, and building connections between science, geometry, and…

Reports development and results of the Kramer Project, a two-year study of the implementation of a problem-solving, activity-based mathematics program in the elementary grades. Describes the mathematical content covered, participating teachers, instructional materials employed, inservice teacher training provided, and academic achievement gains of…

Describes 4 activities for levels K-2, 3-5, 4-6, and 6-8 and a family activity that asks students to describe their community; use coordinates to represent the 4 voyages of Columbus; write a story based on a line graph of Lewis and Clark's expedition; determine serving sizes for astronauts in space; and investigate different modes of…

Describes the use and rationale of "Silent Teaching," a teaching technique in which the teacher remains silent as students generate and evaluate hypotheses while trying to understand an as-yet undiscovered concept. (MDH)

Describes the "number 2 arithmetic challenge," an activity in which students score points by creating examples using the number 2 that satisfy an unknown rule. Computers are utilized to verify and record examples. Conflicts with computer responses create situations to explore negative numbers, fractions, mixed numbers, the order of…

Teaching cases have been utilized in professional training and can offer dramatic accounts of problems teachers may confront in the classroom. This case study examines a fact-based story of a third-grade teacher's confrontation with the mother of an African-American child who disagrees with the innovative approach utilized in her child's…

Describes four activities for grade levels K-3, 4-5, and 6-8 and for the family that explore statistical concepts using a manipulative familiar to students-SKITTLES candies. Concepts explored include frequency graphs, data collection and analysis, probability, measures of central tendency, averaging, and correlation coefficients. Includes…