The topic of function transformations is a difficult mathematical topic for school and college students. This article examines how students conceive function transformations after working with GeoGebra, when this conceiving relates to the algebraic representation. The research participants were 19 ninth grade high achieving students who learned,…

This article presents research on students' understanding of basic concepts in Graph Theory. Students' understanding is analyzed through the lens of the theoretical framework of reducing abstraction (Hazzan, 1999). As it turns out, in spite of the relative simplicity of the concepts that are introduced in the introductory part of a traditional…

Information on the content of the intended science curriculum, what science was actually taught by the teachers, and how that science was taught is presented. Student achievement and attitudes were assessed using tests and questionnaires. Data were obtained from teachers regarding whether the content had been taught to the students (n=657) who…