Described is a year-long study of the way a group of six 12-year-old children went about solving a special class of geometric problems using a computer and a limited set of LOGO programing tools. Examines solution strategies deciding whether those strategies led to insights about mathematical relations. (Author/MVL)

Defines M-demand as the maximum number of schemes that the subject must activate simultaneously in the course of executing a task. Discusses the effect of M-demand on problem solving. Uses algorithms to reduce M-demand. Describes the role of algorithms in problem solving. (MVL)

Reports a study to examine secondary school students' (n=200) responses to two figurally and spatially similar problems from mathematics and science that require different responses before and after instruction. Results indicated that most students gave the same response to both questions. Reasons for this pattern are discussed. (MDH)

Presents the reactions of a mathematics educator and a mathematician to a seven-year-old student's response for finding square numbers. Reflects on the mathematician's focus on the mathematics of the problem and the mathematics educator's focus on the student's systematic way of working, and discusses the common focus of student creativity. (MDH)

Proposes three types of supplementary problems to develop students' skill in interpretation of graphically represented data. Eleven examples are presented and solved for the following types of problems: comparison of one quantity to another, comparison of two quantities that each depend on a common parameter, and reasonable data prediction. (MDH)

The concept of self-regulation--the process whereby students activate and sustain behaviors and cognitive paths which are systematically oriented toward attainment of learning goals--is increasing in importance among educators. Self-regulation includes activities such as attending to instruction; organizing, coding, and rehearsing information;…

This teaching guide provides an integrated framework for teaching thinking skills which involves both teaching thinking in a separate program or course and infusing the teaching of thinking into standard subject area instruction across the curriculum. Individual chapters deal with the following topics: (1) the nature of thinking skills and…

The "Thinking Mathematics" approach to teaching is guided by two ideas: (1) that learning requires knowledge upon which new problems and situations are interpreted and (2) that mathematics skills are applied in context. This paper reports research that examined whether teaching mathematics students in high school remedial classes can be…

This paper examines theories on metacognition and instructional strategies for developing metacognitive processes. These strategies were then implemented in an inner-city grade 6 classroom in a low-economic, multicultural section of Vancouver, British Columbia (Canada), in which 33 students kept journals that were studied for evidence of…

Although many common problem-solving errors within the realm of school mathematics have been previously identified, a compilation of such errors is not readily available within learning disabilities textbooks, mathematics education texts, or teacher's manuals for school mathematics texts. Using data on error frequencies drawn from both the Fourth…

A concept/process-based science education program is any science education program in which curriculum instruction, learning, activities, and evaluation are organized by an identified set of fundamental concepts and processes to be developed by students. This differs from science education programs that are topically based. Although topical…

This study investigated the grouping effect on student achievement in a chemistry laboratory when homogeneous and heterogeneous formal reasoning ability, high and low levels of formal reasoning ability, group sizes of two and four, and homogeneous and heterogeneous gender were used for grouping factors. The sample consisted of all eight intact…

The enhanced metalinguistic abilities demonstrated by additive-bilingual children, including superior control of cognitive processing, may promote the development of symbolic reasoning. Children educated in additive-bilingual (immersion) settings may maintain normal native-language development, while acquiring a second language. This study…

This paper begins with a summary and analysis of Robert Glaser's arguments, presented in his paper "Education and Thinking: The Role of Knowledge," which contend there are strong interactions between structures of knowledge and cognitive processes, and that problem solving and reasoning are taught best in the context of the acquisition…

Higher order thinking skills are inevitably developed or exercised relative to some discipline. The discipline may be formal or informal, may or may not be represented in a school curriculum, or relate to a wide variety of domains. Moreover, the development or exercise of thinking skills may take place at differing levels of generality. This paper…