Through an account of the history of exponential functions as presented in traditional calculus textbooks, I present my observations and remarks on the spiral development of the concept, and my concerns about the general presentations of the subject. In this article I emphasize how the different arrangements and sequencing of the subjects required…

This paper reports on the findings of a study conducted with a group of early childhood education undergraduate students. The study trialled a number of guided reflection techniques that acted to stimulate and provide a structure for reflection. These techniques were further supplemented by focus group discussions based on reflective principles,…

The paper provides a college mathematics student's concept maps, definitions, and essays to support the thesis that language-based prior knowledge can influence students' cognitive processes of mathematical concepts. A group of intermediate algebra students who displayed terms mainly from the spoken language on the first and the second concept…

A change in curriculum permitted a direct and simultaneous comparison between first and second year responses to group project work while assuming similar prior experience with this method of learning. Responses were obtained by a survey form and by meetings with individual groups. Overall, there were no differences between first and second year…