Mathematical Explanatory Strategies Employed by Prospective Secondary Teachers

A Geometry Course for Prospective Secondary School Teachers

Why proofs by mathematical induction are generally not explanatory

Proposed accounts of scientific explanation have long been tested against certain canonical examples. Various arguments are paradigmatically explanatory, such as Newton’s explanations of Kepler’s laws and the tides, Darwin’s explanations of various biogeographical and anatomical facts, Wegener’s explanation of the correspondence between the South American and African coastlines, and Einstein’s ...

Explanatory Relations Based on Mathematical Morphology

Using mathematical morphology on formulas introduced recently by Bloch and Lang (Proceedings of IPMU’2000) we define two new explanatory relations. Their logical behavior is analyzed. The results show that these natural ways for defining preferred explanations are robust because these relations satisfy almost all postulates of explanatory reasoning introduced by Pino-Pérez and Uzcátegui (Artifi...

Avoiding effective defenses: strategies employed by phloem-feeding insects.

Phytophages breach the integrity of plant tissues to recover nutrients from foliage, seeds, pollen, nectar, roots, or shoots. While many herbivores cause extensive damage, phloem-feeding insects, such as aphids and whiteflies, cause modest to barely perceptible damage, respectively. Phloem-feeding insects provide additional challenges to plants as they deplete photosynthates, vector viruses, an...

Alcohol and Other Drug Resistance Strategies Employed by Rural Adolescents.

This study seeks to identify how rural adolescents make health decisions and utilize communication strategies to resist influence attempts in offers of alcohol, tobacco, and other drugs (ATOD). Semi-structured interviews were conducted with 113 adolescents from rural school districts to solicit information on ATOD norms, past ATOD experiences, and substance offer-response episodes. Rural youths...