Advocates an inquiry perspective in high school economics rather than concentrating on economic theory. Describes the assumptions for such an approach and discusses ways to apply them to problematic cases. Benefits of this approach would stimulate interest in economics and increase students' ability to analyze problematic situations. (GG)

In 5 experiments, assessments were made of subjects' understandings of the dynamics of wheels. The subjects--111 undergraduates and 19 high school physics teachers--made highly erroneous dynamical judgments about this commonplace event, both in explicit problem-solving contexts and when viewing ongoing events. Findings are related to accounts of…

The historical development of special education in Germany is summarized. Four cognitive teaching methods for special education are described: cognitive behavior modification with a focus on problem solving and metacognition, intelligence training based on inductive thinking, application of Piagetian concepts, and dynamic testing. (Author/JDD)

That the principal axis theorem does not extend to any finite field is demonstrated. Presented are four examples that illustrate the difficulty in extending the principal axis theorem to fields other than the field of real numbers. Included are a theorem and proof that uses only a simple counting argument. (KR)

Presented is an example of a question that can be used to investigate probability and random triangles. Included is the question, analysis, and procedure for solving the question. (KR)

Described is a geometric view of Singular Value Theorem. Included are two theorems, one which is a pure matrix version of the above and the other that leads to the orthogonal diagonalization of certain matrices, i.e., the Spectral Theorem. Also included are proofs and remarks. (KR)

Described is a decomposition theory from which the Cayley-Hamilton theorem, the diagonalizability of complex square matrices, and functional calculus can be developed. The theory and its applications are based on elementary polynomial algebra. (KR)

Given are instructions for teaching spreadsheet use for problem solving in mathematics. Examples of relevant problems from algebra through calculus are provided. The advantages of using computer spreadsheets in this application are stressed. (CW)

The use of computer spreadsheet programs in the physics laboratory is discussed. An example of this application with a conservation of energy laboratory is presented including the cases of a rolling sphere and a sliding sphere. (CW)

Investigated was the effect of concept mapping on science achievement. It was concluded that mapping concepts prior to, during, and subsequent to instruction led to greater achievement. (CW)

Presents an instructional strategy for teaching how to solve word problems and understand the operations involved. Describes the acquisition method of the part-whole relationships of problem situations. Provides some samples of the instructional strategy used and classroom test results. Lists nine references. (YP)

Indicates the shortcomings of paper-and-pencil tests. Reports the effect of an interview-and-teaching method for students who obtained correct answers by a mechanical process but lacked a conceptual foundation. Five references are listed. (YP)

Emphasizes the importance of problem-solving attitudes when the problem solver is waiting for a breakthrough. Discusses the classroom use of five components of "mathematical disposition" from the chapter on "Evaluation" in the "Curriculum and Evaluation Standards for School Mathematics." Nine references are listed.…

Computer-naive university students (N=124) were taught the BASIC programing language by solving and receiving feedback on program comprehension problems stated in BASIC or on corresponding problems stated in English followed by problems stated in BASIC. Results support a sequential method of instruction beginning with use of natural language…

Current knowledge about cognitive development in mathematics is reviewed, specific effective strategies for presenting materials in class are described, and effective strategies for mathematics program content and organization are outlined. Substantial information on recent research and on instructional materials is included. (MSE)