This research study explored teachers' self-reported uptake as well as observed instructional change after participating in a year-long professional development (PD) program focused on supporting the learning and teaching of transformations-based geometry. Analyses illuminate the degree and nature of the pedagogical shifts made by teachers who…

Mathematical literacy (ML) is a compulsory subject in South Africa for those learners who choose not to do mathematics to Grade 12 level. ML is designed to enable a learner to become a self-managing person by providing opportunities to analyse and solve real-life problems through the mathematisation of contextual situations. The subject thus lends…

The purpose of this study is to design a modeling task to facilitate students' inquiries into the chain rule in calculus and to analyze the results after implementation of the task. In this study, we take a modeling approach to the teaching and learning of the chain rule by facilitating the generalization of students' models and modeling…

This study focuses on teacher's Knowledge for Teaching Mathematics with Technology (KTMT), paying a special attention to teacher's representational fluency. It intends to characterize how the teacher uses and integrates the different representations provided by the graphing calculator on the process of teaching and learning functions at the high…

Good study behaviour after school hours is an important way of improving learners' chances of success. Learners, once they reach high school, particularly require support that will assist them to study effectively outside the classroom. South African schools are under pressure to improve results in mathematics but besides the homework that schools…

This paper investigates the possible influence of attitude on seven Year 11 students' use of a Computer Algebra System (CAS) during a class activity where students could choose to use CAS or pen-and-paper in solving a range of problems. Investigation of anxiety, confidence, liking and usefulness through a survey and interview revealed that these…

Technology can help develop understanding of abstract mathematical concepts through visualisation and graphic representation. The teaching and learning of calculus can be challenging as it involves abstract and complex ideas. The purpose of this study was to investigate how students and teachers attempt to use TI-Nspire, the latest graphing…

This study uses the Mathematical Tasks Framework (Stein & Smith, 1998) to assess the cognitive demand of mathematical tasks implemented in four mathematics classrooms, and to investigate the role of technology in both low- and high-level cognitive demand tasks. The metaphor of using technology as an amplifier or reorganizer (Pea, 1987) is used…

In the last few years educational researchers have become increasingly aware of the need to examine interaction among students to understand the impact of cooperative small groups on learning. For this study 26 students in an 11th-grade Algebra II/Trigonometry class were trained to use a didactic cooperative learning technique called scripted…

This article considers the question of what specific actions a teacher might take to create a culture of inquiry in a secondary school mathematics classroom. Sociocultural theories of learning provide the framework for examining teaching and learning practices in a single classroom over a two-year period. The notion of the zone of proximal…