Research has shown the majority of students who have completed a university calculus course reason about the definite integral primarily in terms of prototypical imagery or in purely algorithmic and non-quantitative ways. This dissertation draws on the framework of Emergent Quantitative Models to identify how calculus students might develop a…

The article reports the results of a study, the main aim of which was to find out correlations among the three components of the Culture of problem solving (reading comprehension, creativity and ability to use the existing knowledge) and six dimensions of Scientific reasoning (conservation of matter and volume, proportional reasoning, control of…

Describes the different types of reasoning in scientific research activity. Outlines three different but complementary ways to integrate history into the presentation of science. Considers and illustrates the close historical relationship between mathematics and physics. (Contains 50 references.) (ASK)

Presents examples where mathematical and physical reasoning complement each other in interpreting and analyzing some basic science concepts using proof by contradiction and contrapositive. Examples involve the rotation of the moon, the stability of electrons and protons, the electron's orbit about the nucleus, and the earth's liquid core. (MDH)

This manual was developed to provide guidance to individuals working in Project SOAR (Stress on Analytical Reasoning), a pre-freshman summer program for science majors anticipating matriculation at Xavier University of Louisiana. Following an overview of Xavier University and Project SOAR and an outline of general instructions, specific…

This paper summarizes a report designed to provide the National Science Board Commission with information about recent advances in cognitive/behavioral science relevant to mathematics, science, and technology education, as well as prospective contributions from these fields if adequate levels of support are available. Following a summary…