Examines cognitive elements used by 29 student teachers in solving problems involving instruction, discipline, supervisors, and time demands. Assesses relationship between problem types and teachers' strategies. Examines effect of experience and knowledge on problem-solving processes. Links problem-solving decisions to task environments…

Discusses a new approach to mathematics education that moves away from methods that tell students what to do and toward methods that help students build mental representations of mathematical concepts. Contrasts the previous and emerging views and examines aspects of the new approach. (26 references) (MDH)

Describes the results of a nine-week inquiry-oriented student teaching program designed to help preservice teachers become reflective practitioners. Five program components were teaching, supervisory conferences, seminars, journal writing, and action research. Results indicated that teachers grew in reflective thinking practices when programs…

Presents two spreadsheets for middle school students applying Polya's heuristic to help develop number sense, reasoning abilities, and problem-solving skills. Spreadsheet 1, "the coin problem," allows students to vary coin quantities to total $8.32. Spreadsheet 2, "ratios," develops number relationships while finding 3 3-digit…

Discusses a variation on tiling that offers opportunities for the construction of the fundamental mathematical concept of constructing abstract units called "unitizing." Tiling integrates geometric and numerical settings to develop spatial sense and present mathematics as constructing patterns. (MDH)

Pre- and postcourse questionnaire assessments of a university course on Acquired Immune Deficiency Syndrome (AIDS) taken by 429 college students demonstrate substantial cognitive and attitudinal changes over the period. University courses can be an efficient way to educate future community leaders and professionals about AIDS. (SLD)

Presents results of 46 randomly selected children's performance measurement and partitive division problems when remainders are zero, nonzero but not used in the solution, and nonzero and used in the solution. Results indicate that children demonstrate an understanding of division prior to formal instruction. (MDH)

A study assessed the impact of a teacher-training workshop at Israel's Ben Gurion University's medical school which focused on classroom interaction. Results of the workshop indicated verbal teacher-student interactions significantly outnumbered individual statements; interactions increased, especially in larger classes; cognitive correspondence…

Stimulated recall was used with 28 classroom teachers to examine their thought processes during instruction. Results indicated that at-risk children received more negative comments about attending and ability than did average achievers. Special education students received more positive and negative comments about attending than did average…

Described is the Educational Leaders in Mathematics (ELM) Project, a four-stage inservice teacher program designed to stimulate teachers' development of a constructivist view of learning. The impact of the intervention was studied, and results indicated that teachers' beliefs were affected, producing changes in teaching strategies. (MDH)

The use of restricted item response models to test hypotheses regarding item difficulty ordering and slope uniformity was demonstrated in a study in which 597 algebra students were asked to solve word problems reflecting various types of cognitive processing. Benefits and limitations of the procedures are discussed. (SLD)

A "cognitive apprenticeship" approach was evaluated with 58 high-risk grade 7 social studies students. The three teachers were trained to provide explicit instruction of higher order cognitive strategies through modeling, monitoring, and collaborative role-playing activities. Students' writing showed significant improvements and was judged similar…

Reviews studies that were carried out with children to compare cognitive processing of audio and television stories, and describes a study conducted in the Netherlands where children aged 10-12 either watched a television film or read a print version of the same story and then retold the story in writing. (23 references) (LRW)

This study examined the benefits to teachers who used impromptu writing prompts in first- and second-year algebra classes. Interpretive research methodology was used to collect and analyze data. Concluded that teachers' assessment of students' understanding was enhanced by reading their students' responses to impromptu writing prompts, thus…

Videotaped interviews of 29 Australian students from grades 1-3 were analyzed to assess and compare the processing loads of mathematical representations and strategies used by teachers and children to learn the concept of place value. Results indicated that some representations and strategies impose an unnecessary processing load that can…