A series of activities involving figurate numbers that allow students at various levels to integrate numerical, geometric, arithmetic, patterning, measuring, and problem-solving skills are presented. A discussion of the geometric and numerical aspects of figurate numbers is included. Appended are IBM Logo procedures that will create pentagonal…

Recommends the use of concealed images as tools for teaching geography. Suggests that images be used as examples of geographers' search for spatial regularities, metaphors for the quasi-religious quest for scientific truth, and fallibility of scientific citation. Argues that the purpose of geography becomes palpable to students when the concealed…

Effects of acquisition of a problem-solving model on the ability to transfer to analogous problems in different domains were studied with 210 undergraduates who solved a biology problem and a transfer problem. Beneficial effects of the problem-solving model and implications for instructional strategies are discussed. (SLD)

This study examined the differences in middle school students' (n=287) perceptions of science activities among three instructional approaches: (1) lecture-worksheet; (2) traditional laboratory; and (3) problem solving. Chi-square analysis of questionnaire responses indicated that, on seven of the eight questions, students responded more positively…

Discusses a classroom presentation using a Tonka toy truck's forward and backward motion that (1) develops a graphical representation of the truck's one-dimensional motion; (2) creates graphs representing constant velocity; (3) leads students to a definition of average velocity; and (4) introduces the concept of instantaneous velocity. (MDH)

Proposes the use of humor and the personalization of word problems by inserting students' names in the problem statement as methods of gaining students' attention. Illustrates their use in a mixture problem and the Tower of Hanoi problem. (MDH)

Presents three problems that help students develop a repertoire of heuristics and persistence in problem solving: the water-jug problem; the missionaries-and-cannibals problem; and the census-taker problem. Discusses methods to encourage students to persist. (MDH)

The relationship between specific gravity, salinity, and density in brine solutions is investigated. Students construct hydrometers to reinforce concepts learned in oceanography. Background information, salt requirements for the unknowns, directions, and reproducible worksheets are included. (KR)

Evidence is offered that the Levels of Attainment in Science in Britain's National Curriculum will be achieved by only the top 20 percent of 14 and 16 year olds, rather than 50 percent as planned. New teaching skills are presented as ways to alter this prediction. Success in improving standards is demonstrated in three examples. (Author/KR)

This panel interview from the Indiana University Summer Arts Institute contrasts notions about a traditional Bauhaus foundation with a flexible, organic curriculum model. Directed instruction is also compared to problem-solving approaches. Peer teaching, science for art majors, and art for science majors are also discussed. (Author/PB)

Describes oral activities that help middle and junior high school students develop decision-making skills. The activities, based on Gary Paulsen's novel "Hatchet," focus on struggling for survival. Recommends "Hatchet" as a vehicle for observing the maturing process and for teaching skills that students can apply to their own…

Proposed is a scheme for concept development in teaching the topic of energy. Levels within the scheme are described, as well as their interrelationships and their relation to the student's own world. (KR)

Surveys research on middle schools to discuss the best instructional strategies for this level. Discusses prevailing and preferred instructional practices regarding mode of presentation, instructional format, use of textbooks and materials, nature of classroom activities, and questioning, critical thinking, and problem solving. (SR)

Asserts that students need opportunities to solve problems by making concept connections from many disciplines. Integrating mathematics and social studies can help. Includes 20 class activities and a chart recommending which grade levels are most appropriate for each activity. (CFR)

Presents the experiences of a Russian mathematician teaching in Russian and American Universities. Topics discussed include what was taught, the importance of grades, cultural and parental factors, mathematicians' attitudes toward teaching, and some problems in elementary mathematics. (MDH)