The present educational intervention study focused on addressing some areas of improvement in the teaching and learning of trigonometric ratios in high school students. A diagnostic evaluation was performed that revealed an instrumental understanding of trigonometric concepts by the students. Subsequently, a didactic sequence was implemented that…

This study delves into the correlation between the beliefs of five university mathematics teachers regarding the teaching of mathematics and their instructional practices. Adopting a case study methodology, this research aimed to thoroughly investigate this relationship. The collection of data was carried out through questionnaires, and the…

This study aims to prepare an educational program based on integrating Science, Technology, Engineering and Mathematics (STEM) to develop students' mathematical thinking skills. It also aims to provide proposals that could have a major role in rebuilding some of the general features on which mathematics curricula can be built according to the STEM…

In STEM education, the engineering design process serves as a pedagogical strategy to connect science and mathematics concepts. While STEM approaches are increasingly favored in science courses, the role of mathematics in integrated STEM activities is often overlooked, despite its foundational importance across STEM disciplines. This manuscript…

The study examined the impact of concept-based instruction on the teaching and learning of mathematics. Functions is the topic that was implemented in order to identify the improvements in learners' understanding. A total of 35 Grade 11 learners from a South African township school in Limpopo province participated in this study. Data were…

Tangent lines are often first introduced to students in geometry during the study of circles. The topic may be repeatedly reintroduced to students in different contexts throughout their schooling, and often each reintroduction is accompanied by a new, nonequivalent definition of tangent lines. In calculus, tangent lines are again reintroduced to…

Whilst Productive Failure (Kapur, "Cognition and Instruction," 26:379-424, 2008, "Instructional Science," 38:523-550, 2010; Kapur & Bielaczyc, "Journal of the Learning Sciences" 21:45-83, 2012) has been shown to be efficacious in deepening students' learning of mathematics in Singapore classrooms, an action…

The measurement instruments are part of assessment the teacher uses in assessing the learner's learning process and outcomes. So, it is very necessary to prepare teacher students for their future as teachers. The objectives of this research were 1) to develop guidelines on construction of mathematical skill and process instruments, 2) to develop…

Productive failure has shown positive effects on conceptual and transfer measures, but no clear effects on procedural measures. It is therefore an open question whether, and to what extent, productive failure methods may be used to enhance the learning of procedural skills. A typical productive failure study focuses on a single, complex concept;…

Cognitively Guided Instruction (CGI) is a mathematics instructional strategy that focuses on students using problem-solving strategies to construct their own understanding. Little research has been conducted to help determine what CGI could look like in other subject areas. The purpose of this study was to investigate ways to apply CGI to a…

Purpose: This study aimed to explore how an adapted theoretical framework by networking two theories could help document teachers' collective learning through lesson study. Design/methodology/approach: Interconnected Model of Teacher Professional Growth (IMPG) and Documentational Approach to Didactics (DAD) has been used individually to document…

The drive to explore students' experiences in mathematics classrooms remains imperative for mathematics education research in order to better understand how effective teaching and learning classroom practices lead to desirable learning outcomes. As part of a larger research project exploring a group of 120 Turkish middle school students' (grades 6…

This article uses the concurrent mixed methods design to explore the errors made by 171 Grade Seven learners in algebraic problem-solving within the Assin Central Municipality in Ghana. The participants were categorized into low-achieving and high-achieving groups based on their performance in a pretest, to help provide a detailed examination of…

This paper explores students' resistance when they were expected by their teacher to start learning mathematics through investigations, a pedagogy that emphasizes an active and agentic approach to learning in contrast to the traditional transmission-based teaching to which they were accustomed. This resistance is investigated from the perspectives…

Introducing the distributivity property of multiplication over addition is a well-known challenge in mathematics education, especially in primary school. As a contribution, this paper presents the results of a cycle of design research that focuses on the design, implementation and evaluation of a modelling activity in which 2nd-grade students are…