Tesselations and n-dimensional geometry problems are reviewed. The author discusses possible models which could be used to approach and understand these special aspects of geometry. (MP)

The use of mathematical modelling as a systematic framework for solving word problems is presented. Applications for typical elementary algebra and calculus problems are featured. (MP)

Educational researchers have been influenced too much by research schema derived from the assumptions of empirical researchers in the sciences. Theory building should be sacrificed for the development of research products with clearer, more concrete relevance for teachers. (JN)

Graphic family therapy based on changing family dysfunctioning through self-discovery is described. The stages of this design are discussed and specific graphic excercises for eight categories of family dysfunction are described. Two illustrative cases are presented. Conclusions regarding results, future research, training and other clinical…

Describes the mental process that teachers engage in while making preactive planning decisions, and presents a general-process model of teacher planning consisting of three stages: (1) problem finding, (2) problem formulation/solution (design), and (3) implementation, evaluation, and routinization. (MP)

Five types of teaching models intended to facilitate a mutually beneficial relationship between teacher preparation institutions and public schools are presented. (LH)

Argues for a model of in-service training which allows teachers to learn "without a sense of demeaning themselves". (Editor)

Presents an exercise using linguini noodles to demonstrate an aspect of DNA fingerprinting. DNA maps that show genetic differences can be produced by digesting a certain piece of DNA with two or more restriction enzymes both individually and in combination. By rearranging and matching linguini fragments, students can recreate the original pattern…

Two experiments involving 67 elementary school and 439 high school students show that students present solutions to many unsolvable problems without showing realistic reactions. Results are discussed with respect to the quality of word problems in teaching mathematics, the culture of teaching and learning, and the issue of social rationality in…

Tested three models of children's mathematics word-problem solving based on developmental differences in quantitative conceptual structures: (1) quantitative relations represented as ordered array of mental objects; (2) numbers represented on two tentatively coordinated mental number lines; and (3) numerical operations represented as objects on…

Investigates the thinking process underlying students' improper linear reasoning and how this process is affected by their mathematical conceptions, beliefs, and habits. Explores the actual process of problem solving from students falling into the linearity trap and the mechanism behind it. Discusses specific mathematical conceptions, habits, and…

Describes the process of mathematical modeling, an extensive teacher's guide, and a student modeling activity to improve the efficiency of soft-drink packaging. (KHR)

Maintains that Demetriou and his colleagues' project shows how developmental scientists can assess concepts from multiple frameworks and relate them through explicit modeling and targeted research to build explanations powerfully grounded in data and theory. Presents doubts related to specific conclusions because of issues related to the design of…

Reviews the Big6 information problem-solving model. Highlights include benefits and dangers of the simplicity of the model; theories of instruction; testing of the model; the model as a process for completing research projects; and advice for school library media specialists considering use of the model. (LRW)

This paper describes and validates a model of teaching in early elementary grades that infuses the self-determination skills of problem solving and goal setting into existing curricula and programs. Use of the "Self-Determination Learning Model of Instruction with 5- and 6-year-olds found the model effective in identifying student interests,…