Conventional instruction in critical thinking may ignore the creative and intuitive functions of rationality, thereby encouraging a mechanically rote approach to textual analysis, problem solving, and problem construction. Such an overemphasis upon logical "calculus of justification" functions has epistemological weaknesses and pedagogical…

Discusses five strategies to use in creating an environment that will foster the development of critical thinking. To make thinking the subject of instruction; focusing on the key aspects of higher-order thinking; providing opportunities for continual, explicit practice; questioning and developing an investigative nature; and reinforcing the…

Discusses a teaching method for transforming timid, dependent students into self-propelling, independent problem solvers. Describes four guidelines: expose students to problems; pose good questions and pause; put chalk into students' hands; and emphasize teamwork. Eleven references are listed. (YP)

Summarizes research on disjunctive versus conjunctive, and multistage versus single-stage problem solving in a classroom setting. Concludes that students working in groups are less likely to drop out of class, give higher subjective motivation to learn ratings, perform better on tests, know more classmates, and score higher on Raven's Progressive…

This bibliography lists and annotates 10 references on gifted education, including journal articles and book sections. The references deal with curriculum content, creativity, moral reasoning, mathematical problem solving, cooperative learning, minority students' standardized test scores, and minority students' under-representation in gifted…

Research relevant to improving instruction for learning disabled students with mathematical problem solving deficits is reviewed. Using a cognitive-metacognitive framework, techniques for teaching both specific and comprehensive mathematical problem solving strategies as well as techniques to enhance strategy generalization are presented.…

Investigation of (n=41) eighth-grade mathematics classrooms in which three teaching approaches (algorithmic practice, teaching with meaning, and problem-process approach) found that the problem-process groups showed increased achievement and improved student attitudes. (38 references) (Author/MKR)

Examined how task design influences the effectiveness of peer collaboration in facilitating students' conceptual change in physics. Subjects were 8- to 12-year olds studying heating and cooling. Results showed the general superiority of collaborative tasks that both facilitate critical testing and require rules; task designs deploying one feature…

This article examines ways in which intuitive understandings may help teachers in developing the thinking of pupils with autism. The article suggests that, by working toward students' development of an autobiographical memory, it may be possible for them to establish an awareness of their own role as a problem solver. (JDD)

This article describes the use of problem-based learning (PBL) with gifted students, in which the focus of the curriculum is "ill-structured" problems. Particular advantages of PBL with these students include effectiveness in teaching the art of problem finding and solving, active learning, higher order thinking skills, and using interdisciplinary…

Discusses a case study of a project created for the U.S. Air Force, Air Combat Command, in which mental models were taught, reinforced, and assessed as the foundation for instruction. Preliminary data for 183 students reflected a 93% mastery level and a 79% cumulative gain in students' ability to troubleshoot difficult problems. (Author/AEF)

Describes problems that are presented in the form of experiments. The philosophy, method of solution, and several examples of mechanics experiment problems are described. (LZ)

Describes three approaches teachers can use to help students understand multiplication and division: calculator explorations, problem solving, and discussion topics. Specific examples are provided for primary and upper grades. (MDM)

Based on the author's experiences, this article presents approaches to aid in developing interactive presentations. Galaxy and funnel methods offer more room for creativity when compared to metaphors such as step, line, and road models. Highlights include diagrams, personal narratives of advantages, disadvantages, and steps taken in creating an…

Describes the graphing calculator as a new graphical approach to standard physics problems. Presents a collision problem to illustrate its use. (JRH)