This case study investigated the development of prospective mathematics teachers' technological pedagogical content knowledge (TPACK) in graphical data displays with (VM) within the context of a microteaching lesson study (MLS). This research investigated how five participants integrated technology and implemented a lesson plan aimed to teach…

The issue of mathematical knowledge in teaching has been widely discussed over the years. In this study, we carried out a systematic review of the literature with the aim of understanding, quantitatively and qualitatively, the studies developed related to the mathematical knowledge necessary for the teaching of Mathematics, with a focus on Numbers…

Pedagogical Content Knowledge (PCK) is a fundamental component for effective teaching and plays a crucial role in teacher education. Even though pre-service teachers are engaged in training to improve their PCK, the literature reveals that most of their difficulties in practicum courses stem from their PCK. The purpose of this research is to…

The teacher's central role in technology integration and the challenges of that integration emphasise the need for a deeper understanding about the teacher's knowledge required to teach with technology. Based on previous work and a systematic literature review, we identified three knowledge models often used: TPACK, KTMT and PTK. The goal of this…

The aim of this study is twofold: to determine which knowledge type (procedural or conceptual) is predominant in basic mathematics topics among preservice primary mathematics teachers and the relation between these knowledge types. The study group consisted of 97 freshmen studying at Primary Mathematics Teaching Department. Case study method was…

This study examines a Technology, Pedagogy, Content Knowledge (TPACK) training framework for pre- and in-service mathematics teachers that enables them to experience inquiry-based learning as learners in a dynamic geometry environment that serves as a mathematics laboratory. We investigate the effect of this experience on the teachers' TPACK,…

The initial teacher education courses for Mathematics aim to promote an adequate education in mathematics and mathematics didactics. Equally or even more important than this education is understanding how the preservice teacher should build new knowledge from the activities they undertake. Considering the teaching practicum, this study aims to…

This paper explores the specialized knowledge mobilized by a mathematics teacher in the selection and use of examples for teaching sequences. Taking an experimental case study approach, we analyse the examples deployed in a series of third-year secondary level lessons on sequences and identify the different knowledge subdomains activated according…

Some pre-service mathematics teachers in South Africa are nervous about the content of Euclidean geometry because they did not study Euclidean geometry in high school but will be expected to teach same when they start their teaching career. Because of this, graduating pre-service mathematics teachers were enrolled for a six-week intervention…

The paper introduces the notion of collateral creativity as an unintended outcome of the appropriate use of technology, both physical and digital, in the teaching of mathematics. The notion is motivated by Dewey's conceptual framework of collateral learning which enables one gaining knowledge beyond the intent of the traditional curriculum.…

In the mathematical literature on analytical geometry, various notions of the conics' eccentricity correspond to different approaches to these curves. After making a comparative analysis of well-known textbooks to determine coincidences and differences between the various concepts of eccentricity, as well as how the authors explain the…

The power and value of mathematics cannot be underestimated. Mathematics is essential in the workplace, for economic growth, for technological advancements and as part of our cultural heritage. Despite this, research reports that second-level students do not appreciate the value of mathematics and fail to see its relevance. One potential reason…

While traditional graphing calculators have become commonplace in high school mathematics classrooms, newer and more powerful connected graphing packages (CGP) are less pervasive. This study observes how four teachers integrate a CGP into their high school mathematics classrooms, with a focus on the challenges the teachers faced and the…

Function is a multifaceted and essential concept in mathematics that includes various complex ideas such as mapping, relations between variables, algebra, input-output, and rule. Pre-service mathematics teachers' (PMTs) should have a rich understanding of these ideas for their future teaching practices. However, research showed that PMTs had a…

Understanding a mathematical concept in real-world situations is of practical importance and would be helpful to learn the concept in depth. One potential way to help students learn mathematical concepts in real-world situations would be to engage them with contextual problems. Exponential and logarithmic concepts are essential topics in higher…