Describes the nature and existence of both model-data fit and conceptual problems in science, then examines two curricular projects--one in genetics and one in evolutionary biology--that attempt to integrate these problems into classroom instruction. (Author/SAH)

Focuses on 181 school children's (aged 5-13) responses to an Awareness of Technology Survey question intended to explore their conceptual knowledge of structural strength. Explores how the framework of the program and professional development opportunities did not help teachers implement the program. (Contains 13 references.) (Author/YDS)

Discusses potential pedagogical difficulties arising from using physics-related contexts in high-school mathematics problems. Suggests that such problems should not require any external knowledge of physics by the students; meanwhile, the problems should not contradict the physics knowledge that the students may already have. Presents several…

Discusses Newton's long struggle with the concepts of inertia and centrifugal force as an example of high-grade scientific thinking. Discusses the role of textbooks and how they largely emphasize memorization. Suggests that the historical approach can be more time-consuming than textbook-based teaching and that it requires a good understanding of…

Conceptual understanding in mathematics within the area of functions involves the ability to translate among different representations, table, graph, symbolic, or real-world situation of a function. Students' procedural knowledge for solving equations may become separated from their conceptual knowledge, and if these connections can be maintained…

In most teacher education courses, instructional strategies are merely listed and explained. Students rarely have the opportunity to see these strategies in use until they become student teachers. What better way to teach secondary instructional strategies to pre-service teachers than by modeling these strategies using teacher education content?…

This case study seeks to explain why a Yup'ik middle schooler, Nora, from a remote Alaskan village, was differently constructed as a math learner by her 6th- and 7th-grade math teachers. When a culturally relevant curriculum was used in 6th grade, Nora had a greater opportunity for leadership, ownership of knowledge, collaborative problem solving,…

This article reports results from a study focused on teachers' knowledge of students' understanding of core algebraic concepts. In particular, the study examined middle school mathematics teachers' knowledge of students' understanding of the equal sign and variable, and students' success applying their understanding of these concepts. Interview…

An investigation was conducted to determine the effectiveness of utilizing analogies to effect conceptual change in mathematics. Forty-one high school seniors participated in a knowledge reconstruction process regarding their beliefs about everyday probability situations such as sports events or lotteries. These mathematics students were given…

This book is written to help teachers develop plans and ideas for implementing innovative approaches to assessment in their mathematics classes. Chapter titles are: (1) "Purposes and Goals of Assessment," (2) "Assessment and Mathematics Teaching," (3) "Procedural and Conceptual Knowledge," (4) "Problem Solving…

Author presented a theory of thinking designed to multiply our power as thinkers, problem-solvers and learners. (Author/RK)

Because previous research by Bayman and Mayer (1983) suggests that individuals who attempt to learn their first computer language develop a variety of misconceptions of the meanings of individual programming statements, this study investigated whether it is possible to enhance beginning programmers' understanding of the programming statements…

In general, people seem to be poor at noticing analogies, especially when they are required to apply an analogy to a domain that is new. It was suspected that schemas influence the noticing and applying of analogies. Schemas are hypothesized to be abstract propositional structures that emphasize relationships among categories of objects rather…

Research has not clearly determined whether memory development in childhood and adulthood can be accounted for by the age variation of cognitive processes other than memory. To examine this issue, a study was conducted based on a model of structures and processes in complex information processing. Subjects (N=162) were presented with two lists of…

Two studies were conducted, with three-to-five-year-olds, to assess the relationship between language comprehension and production and the development of quantity concepts. The asymmetry of acquisition of adjectives, "big" and "little," was also assessed, as well as differences in the acquisition of the underlying concepts. In Experiment 1, it was…