This article examines the cognitive structures of secondary school mathematics pre-service teachers (PSTs) in Mayotte regarding fundamental mathematical concepts such as theorem and proof. A deep understanding of these concepts is essential for effective teaching practice. To explore this, we employed the free word association test, a…

Knowledge concerning continuously improving branches of science such as biotechnology in particular is difficult to be understood properly by students, or they learn it incorrectly. One of the most important reasons for this is that students cannot associate in their mind the relevant concepts. The aim of this research is to determine prospective…

This report describes a model for mapping cognitive structures related to content knowledge for teaching. The model consists of knowledge elements pertinent to teaching a content domain, the nature of the connections among them, and a means for representing the elements and connections visually. The model is illustrated through empirical data…

This article examines pre-service secondary school teachers' responses to a learning situation that presented a student's struggle with determining the area of an irregular hexagon. Responses were analyzed in terms of participants' evoked concept images as related to their knowledge at the mathematical horizon, with attention paid…

Many pre-service teachers enter teacher education with problematic or unexamined assumptions about learners and teaching. This article reports on an authentic learning opportunity offered to 22 pre-service teachers in their first year at university, which attempts to disrupt these perceptions about learning and pedagogy. Using a new application of…

A curriculum is a knowledge structure outlining what is to be learned in what order. The Australian curriculum for English emphasises creation of a "coherent" and "cumulative" "body of knowledge about how the English language works", with learning that is "portable and applicable to new settings across the school…

When students ask for a study advice, many professors would say something like this: "Read carefully. Write down unfamiliar terms and look up their meanings. Make an outline. Reread each chapter." That's not terrible advice. Some scientists would say that professors left out the most important step: "Put the book aside and hide the notes. Then…