Teachers' knowledge plays a central role in technology integration. In this study we analyze situations, where there is some divergence between the mathematical results and the information offered by the graphing calculator (lack of mathematical fidelity), putting the focus in the teachers and in their approaches. The goal of this study is to…

It is wellknown that the majority of South African learners achieve extremely poorly in Mathematics. Many claim that one of the causes of this poor attainment is teachers' weak knowledge of mathematics, and propose that improving teachers' mathematical knowledge would improve learner attainment. However, the evidence-base for this proposed…

Although the importance of mathematical problem solving is now widely recognised, relatively little attention has been given to the conceptualisation of mathematical processes such as representing, analysing, interpreting and communicating. The construct of Mathematical Knowledge for Teaching (Hill, Ball & Schilling, 2008) is generally…

This paper presents the findings of a study that examined the preparation and teaching practice of ten teachers of grades 7-12 from the Shandong province in China. This study revealed that a multi-dimensional training system has been developed to help the teachers gradually build up their knowledge base for teaching. The findings of this study…

This study attempts to explain the substantial differences in mathematical achievement of elementary students in a Delaware school district by analyzing the level of content and pedagogical knowledge of elementary math teachers. I examined tenth graders' longitudinal state test results in mathematics and found that performance in the primary years…

Despite the long history of the study of pedagogical content knowledge (PCK), two facts remain obvious. First, there are almost as many conceptions regarding the definition of PCK as there are researchers interested in it. Second, it is largely unclear which methods enable teacher educators to best prepare teacher candidates to use PCK. Recently,…