Studies the developmental process of how the concepts of ratio and proportion do not develop in isolation, but rather are part of the individual's multiplicative conceptual field, which includes other concepts such as multiplication, division, and rational numbers. Follows one fifth-grade student as he attempts to schematize his…

Investigates proficiencies when students work on mathematics problems and the extent captured by knowledge categories. Explores competency that goes beyond knowledge to include mathematical 'dispositions' and 'practices' in which students engage. Considers ways in which research knowledge is conceived and developed, reflecting upon the role of…

How students restructured their scientific ideas in response to contradictions was studied with 166 male and female students (aged 12 to 14 years) who tested their predictions about water displacement by experiment. Conceptual change varied; all subjects tended to hold onto old ideas, even when presented with conflicting information. (SLD)

Presents activities utilized with primary teachers to alleviate instructional concerns about using calculators and provide reasons for using calculators in their mathematics instruction. Activities address the topics of estimation, number sense, numeration, whole number and fraction operations, probability, and problem solving. (MDH)

Presents an approach to the concept of absolute value that alleviates students' problems with the traditional definition and the use of logical connectives in solving related problems. Uses a model that maps numbers from a horizontal number line to a vertical ray originating from the origin. Provides examples solving absolute value equations and…

Applies the Lesh Translation Model to develop conceptual understanding by showing relationships between five modes of representation proposed by Lesh to learn multiplication of fractions. Presents five teaching activities based on the translation model. (MDH)

Focuses on the enhancement of chemistry students' skill in problem solving utilizing problem categorization techniques. Indicates that explicit training in categorization skills can lead to higher achievement in complex problem-solving situations but that such achievement may be limited by the lack of linkages between students' conceptual…

Methods for teaching higher order thinking skills to students with special needs are considered. These include microthinking skills (e.g., classification); critical thinking skills; and major thinking operations (e.g., problem solving, decision making, and conceptualizing). Strategies for teaching individual skills and for incorporating thinking…

Asserts that metacognition is one of the most important developments in the contemporary study of learning. Proposes a theoretical analysis of a number of interrelated issues with regard to their importance for metacognition. Focuses on strategy selection in light of the impasse-based theories of problem solving. (CFR)

This paper describes student performance and beliefs regarding fractions resulting from a five-phase approach toward developing mathematical intuition via physical materials. Interviews with students using this approach and with students using a conventional textbook approach indicated significant differences in problem-solving abilities and…

Discussed is a constructivist model of science learning and its possible use in the treatment of science misconceptions. Science learning as conceptual and methodological change is described. (KR)

Describes a study of factors in the development of reasoning on the balance beam (n=34 nonscience majors in a Physical Science class). From this study and others, the author developed a model of problem solving and problem-solving behaviors. The implications of this model for instruction are discussed. (PR)

Focuses on the use of a science-based topic with children ages six and seven to explore ideas for developing children's use of descriptive language. Employs talk partners and circle time as strategies for developing language. (DDR)

Argues that science students often perceive physical events, the nature of scientific knowledge, and the nature of learning processes in different ways from science teachers and scientists, and that science teachers need to account for these differences in planning their science teaching. Contains 40 references. (WRM)

Presents a theory of learning in science based on students deriving conceptual linkages among multiple models which represent physical phenomena at different levels of abstraction. Finds that high school students who were exposed to derivational links among three models for basic electricity performed better when solving both qualitative and…