Students are asked to find different tiles that could be manufactured and show how a particular tile can be used to cover a floor. Thus, tessellations are explored. (MNS)

It is suggested that there are three levels of difficulty posing barriers to successful problem-solving performance: (1) entry into the problem; (2) basic skills; and (3) general cognitive skills. The levels are described in some detail and suggestions for instructional methods are given. (MP)

Ways in which the standards of problem solving, communication, reasoning, and connections can be incorporated into the elementary geometry curriculum are identified. Visualization of figures, conservation of area, shape and space, and multicultural study are discussed. (KR)

The problem-solving skills of logical thinking, critical thinking, visualization, and communication skills are linked with some activities for students. Sample activities with logic, strategies and patterns, breaking fixed notions, open-minded problems, spatial visualization, and communication are described. (MNS)

Presents a set of activities, in reproducible format, emphasizing geometry. The activities offer experiences in area measure, whole number and fractional computation, and problem solving in spatial relationships. (PK)

Shows how a manipulative device for taking attendance can be used to exercise mathematical thinking processes in a variety of contexts at different elementary school grade levels. Suggests activities using a magnetic attendance board for gathering classroom information; developing number, estimation, and graphing concepts; forming and verifying…

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…

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)

A thematic approach to curriculum enables students to connect topics and supports meaningful inquiry. Presents 4 activities for levels K-2, 3-4, 5-6, and 7-8 in which students explore problems of interest to them involving the theme of construction and architecture. Includes reproducible worksheets. (MDH)