Presents five activities to help students construct meaning for multiplying fractions through real-world problem contexts, physical or pictorial models, the recognition of patterns, and the use of calculators. In the context of a garden plot, worksheets examine various aspects of parts of plots, patterns in plots, and a maximization problem.…

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…

Presents a unit of study involving tangrams that integrates geometric relationships, scale drawings, graphing, patterns, and logical thinking. Provides worksheets for independent and cooperative activities to discover geometric shapes using a specified number of tangram pieces. (MDH)

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)

Reports a case study to evaluate whether basic concepts of fractal geometry are teachable to elementary school children and to determine the effectiveness of having an elementary school student present a lesson to inservice and preservice teachers. Concludes that simple concepts of fractal geometry appear appropriate for the elementary school…

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…

Proposes the method of student-generated story problems to supplement textbook problems, generate student interest, and bring real-life situations into the mathematics classroom. Gives steps to initiate the method that incorporates small groups and peer teaching to develop problem-solving and problem-posing abilities. (MDH)

Presents a discussion illustrating student reasoning while using LOGO to draw tilted squares and rectangles. Suggests that teachers recognize that many students use visual imagery to reason and discuss visual reasoning with students. Gives examples of tasks to promote discussion. (MDH)

Presents the results of a survey of 165 seventh grade students asked to respond yes, no, or maybe to 21 metacognitive statements about their cognitive activity on a mathematical word problem. Suggests how to use the responses as a basis for developing classroom activities. (MDH)

Survey and case study data were analyzed to determine differences between the credibility and effectiveness of support teachers teaching mathematics. Results indicated the importance of cooperation between mathematics teachers and support teachers and significant differences between the perceived roles and abilities of the two groups. Includes…

Using data from a nationally representative survey of college faculty teaching introductory courses, a study compared the course planning procedures of faculty (n=2,311) in eight disciplines: English composition, history, sociology, psychology, mathematics, fine arts, languages, and business. No key differences were found between full- and…

Focuses on connections between mathematics and environmental concerns. Activities were designed to make students aware of, and increase their knowledge of, the various materials people ordinarily use and discard and ways to use materials more conservatively. Each activity includes data gathering, graphing, and interpreting data. Activity sheets…

Reports results from a project designed to bring about student conceptual change by using multiple modeling and representation as well as links to other areas. Students developed rules as conveniences and meanings for symbols, were active in learning, made interpretations, and had confidence in their thinking. (MKR)

How knowledge of children's thinking in mathematics derived from a cognitive science research model was used by a first-grade teacher to make instructional decisions over four years is described. The curriculum, teacher expectations, and method for using research-based knowledge are reviewed, along with the teacher's knowledge and beliefs. (SLD)