Examined problem-solving strategies used by fourth and fifth graders in solving simple LOGO computer programing problems, and investigated relationships between those strategies and students' domain knowledge and cognitive style. Findings supported a diversity of cognitive styles and suggest a possible knowledge-based explanation for differences…

While evidence is mixed about whether aggressive children generate fewer alternative solutions to social problems than do nonaggressive children, research has found consistent deficiencies in the qualitative kinds of solutions that aggressive children produce. This study assessed salience effects on the abilities of aggressive and nonaggressive…

Relationships between cognitive style, conceptual tempo, and problem solving strategies of 81 fifth-grade students were examined. While cognitive style was not related to strategies used in problem solving, conceptual tempo influenced time spent and quality and quantity of questions asked. Effective training techniques were also described.…

Eighty gifted children were administered divergent thinking and problem-solving tasks, as well as measures of tolerance for ambiguity, locus of control, and self-esteem. The four comparison groups varied in intelligence quotient and ideational fluency. Results emphasized the consistency among cognitive and affective dimensions of divergent or…

At a middle school in suburban Pittsburgh, Pennsylvania, administrators and teachers used the cognitive domain of the National Association of Secondary School Principals' Learning Style Profile to design "products" that helped compensate for underachieving sixth and seventh graders' skill deficits in mathematics and science. Success…

This paper discusses a study that explored the mental models of fifth (n=35) and sixth (n=49) graders attending two urban public elementary schools in South Korea in word problem solving. Two levels of mental models (problem model and mathematical model) constructed in the process of word problem solving were investigated. Coding categories for…

Describes a problem to challenge students as they come back from summer vacation. Working in small groups, students discover Pick's Theorem, the formula to calculate the area of a polygon constructed on a geoboard. A writing assignment evaluates the students' efforts. (MDH)

The verbal interaction and problem-solving behavior of groups of high and average ability learners were compared during computer-assisted cooperative problem-solving to determine the problem-solving behaviors that relate to success within this context. Thirty-six fourth grade students were assigned to groups of three to form 12 groups, six of high…

This paper reports a study to address two questions concerning children's understanding of average: How do children construct and interpret representativeness within the context of data sets? and How do children think about the mean as a particular mathematical definition and relationship? Twenty-one students (seven each of 4th, 6th, and 8th…

This study of Piagetian formal reasoning in seventh grade students reports the relationships between four aspects of the ability to control variables in an experiment and the relationships between those four aspects and other constructs. The four aspects of the ability to control variables identified are: (1) set up a controlled experiment, (2)…

Children begin school with the ability to use their informal and implicit conceptual knowledge to guide their problem solving, but shift to the use of superficial strategies in their attempts to solve word problems as they progress through school. This paper describes a study designed to investigate the effects of an instructional sequence that…

Reports on conceptual understanding and solution strategies for percent problems of (n=31) students representing 2 ability levels from grades 5, 7, 9, and 11. Strategies evolved from intuitive to formal and increased in diversity with increasing age. Appendix includes concept and computation interview questions. (Contains 15 references.) (MKR)

This document examines how a unit on model rockets, designed to be a "hands-on" activity within the "Mission to Mars" curriculum that was implemented in the Nashville (Tennessee) area middle schools, has been used to investigate children's understanding of experimentation. A literature review explores some of the traditional…

Discusses the Technology, Science, Mathematics Integration Project's technological problem-solving method, briefly describes 15 activities and the corresponding technology, science, and mathematics content involved (including 1 detailed example), and proposes a general structure of the activities and research in support of this approach. (MKR)

In 1986 the United States (U.S.)-Japan Seminar on Mathematical Problem Solving convened to compare the state of problem solving in the classroom and in research in the two countries. The data and results given in this paper are the results of research conducted in the United States in response to the 1986 seminar. The U.S. and Japanese research…