Mathematics learning and teaching continues to be a challenge in the South African education system. This challenge is observed in the poor performance of students in national and international assessments. Research suggests that teachers' content knowledge and knowledge of teaching mathematics contribute significantly to students' performance. In…

We describe how multimedia scenarios delivered online can be used in instruments for the study of professional knowledge. Based on our work in the study of the knowledge and rationality involved in mathematics teaching, we describe how the study of professional knowledge writ large can benefit from the capacity to represent know-how using…

This study investigated the extent to which differences in implicit and explicit math--language gender stereotypes, and essentialist beliefs among preservice teachers affect tracking recommendations for math/science versus language-oriented secondary schools. Consistent with expectations, the results suggest that student's gender influences…

Although Bayesian methodology has become a powerful approach for describing uncertainty, it has largely been avoided in undergraduate statistics education. Here we demonstrate that one can present Bayes' Rule in the classroom through a hypothetical, yet realistic, legal scenario designed to spur the interests of students in introductory- and…

In this paper, we study how prospective teachers guide students' reasoning in GeoGebra-supported inquiry tasks. Twenty prospective mathematics teachers wrote about how they would react as a teacher in hypothetical situations where high school students present their GeoGebra-supported solutions to the teacher. Before writing their reactions, the…

To capture aspects of pedagogical content knowledge (PCK) not illuminated in an earlier written survey, an interview protocol was used with 40 middle school teachers. The scenarios were intended to elicit teachers' understanding of the big ideas, ability to anticipate students' answers, and intervention strategies for the classroom. This was…

The purpose of this study was to determine the effect of TI-Nspire graphing calculator use on student achievement and on teacher behavior variables of planning, teaching, and assessing. This study investigated the teaching of functions by teachers using the TI-Nspire graphing calculator versus teachers using a non-graphing scientific calculator. …

The U.S. Departments of Commerce and Education (who co-chair the NSTC Working Group) and NetDay formed a partnership aimed at analyzing K-12 student views about technology for learning. These views are analyzed in this second report, "Visions 2020.2: Student Views on Transforming Education and Training Through Advanced Technologies." In…