Responses of 322 university sophomores (education majors) on an evolution problem "How could the bat have evolved wings?" are analyzed and classified. Concludes that misunderstandings are logical. (PR)

Reviews three studies on the effects of elementary school students' collaboration within the educational computer environments of LOGO, computer-assisted instruction, and computer-based instruction. Concludes that cooperative participation within LOGO fosters effectance motivation, information exchange, and conflict resolution that reflects…

Tested the Watson and Busch model of how children learn LOGO programing. Investigated second- and fifth-grade students' stage of cognitive development, stylistic preferences, and strategy usage. Field-independent children showed a marginal advantage over field-dependent children in learning to program in LOGO. (MM)

Discusses mathematical tasks, classroom environments, and means of assessment that might encourage mathematical growth for middle grades students. Proposes a curriculum emphasizing mathematical connections, reasoning, and problem solving. Describes shifts in the culture of the mathematics classroom that support students' development of…

Kindergarten students' (n=7) thought processes were investigated during a problem-solving task to gain insight into students' problem-solving strategies and to guide students toward a closer awareness of their own mathematical thinking. Outlines some of the processes and problems of implementing a constructivist approach by an experienced teacher.…

A mapping procedure based on the SOLO Taxonomy developmental model was used to classify the problem-solving strategies of students (n=34) in grades K-2. Only one multiplication problem was used to isolate three components of the problem-solving procedure. (MDH)

Beginning physics students (n=42) were constrained to analyze mechanics problems according to a hierarchical scheme that integrated concepts, principles, and procedures. After five one-hour sessions, students increased their reliance on the use of principles in categorizing problems according to similarity of solution and in writing qualitative…

Examined the quality of responses of six classes of grade six students to four questions requiring multiple and generalized solutions posed under varying conditions. Results indicated that this type of question can be useful in classrooms because students can respond at a variety of levels. (13 references) (MDH)

Discusses the process of mathematical iteration, its benefits as a problem-solving technique, and how to teach it. Presents a selection of mathematical ideas and problems that can be solved and explored using iteration, along with related BASIC computer programs. (MDH)

When preparing middle-level students for the information Age, educators must consider staff-development needs in the areas of computer technology and portfolio design; classroom restructuring for project-based curriculum; integrated subject disciplines; and alignment of the portfolio approach to school, district, state, and parental expectations…

Twenty-four gifted girls in grades 4-7 in 3 rural school districts received a mathematics intervention program including problem-solving activities, math-related career options, and self-esteem issues. Pretest and posttest scores indicated that the program effectively changed the girls' attitudes toward mathematics. (Author/JDD)

Twenty-four sixth-grade children participated in clinical interviews on ratio and proportion before receiving instruction in the domain. Student thinking was analyzed in terms of mathematical components critical to proportional reasoning. Two components, relative thinking and unitizing, were consistently related to higher levels of sophistication…

Short essay questions are introduced into the calculus course as a technique to involve students with their own learning. Provides (1) instructions to the student for writing the report; (2) results of using the technique; and (3) reasons for using writing in mathematics classes. (MDH)

Thirty-one students (ages 8-14) with learning disabilities or behavior disorders solved arithmetic word problems while a narrative protocol was developed. Eight types of cognitive processing difficulties were identified (such as lack of self-correction and inclusion of extraneous information), and the utility of protocol analysis as an assessment…

Presents three teaching strategies requiring active student participation in which students (1) create and solve their own word problems; (2) generate trigonometric expressions to be solved by their classmates; and (3) act as points to model a basic locus of points. (MDH)