This study illuminates claims that teachers' mathematical knowledge plays an important role
in their teaching of this subject matter. In particular, we focus on teachers' mathematical …

Conceptual change research investigates the processes through which learners
substantially revise prior knowledge and acquire new concepts. Tracing its heritage to …

The term conceptual change was introduced by Thomas Kuhn (1962) to indicate that the
concepts embedded in a scientifi c theory change their meaning when the theory (paradigm) …

We present an empirical study that investigated seventh-, ninth-, and eleventh-grade
students' understanding of the infinity of numbers in an interval. The participants (n= 549) …

A major source of errors in rational number tasks is the inappropriate application of natural
number rules. We hypothesized that this is an instance of intuitive reasoning and thus can …

This paper summarises and critiques research on the role of mathematics content
knowledge in the preparation and teaching practice of elementary (K-8) teachers in the …

A Focus on Fractions is a groundbreaking effort to make the mathematics education
research on how students develop their understanding of fraction concepts readily …

This report focuses on prospective secondary mathematics teachers' understanding of
irrational numbers. Various dimensions of participants' knowledge regarding the relation …

It is widely documented that the density property of rational numbers is challenging for
students. The framework theory approach to conceptual change places this observation in …

This paper reports part of an ongoing investigation into the understanding of irrational
numbers by prospective secondary school teachers. It focuses on the representation of …