This study examines the relationship between the past experiences of secondary education students with their current image of mathematics. It is based on the premise that the image of mathematics is formed through experiences mediated by school, parents, peers, and society. Drawings and interviews were used to explore these experiences. The…

ChatGPT has become a significant topic of interest in the field of education, prompting of the potential applications of such technology. The utilization of ChatGPT may facilitate the fostering of 21st century skills, such as computational thinking (CT) and technology, which could subsequently provide a means of offering students personalized…

This qualitative study explored the perceptions of high school math teachers and administrators regarding professional development initiatives in secondary math education. Through a qualitative approach involving focus group discussions and individual interviews, the study examined accountability mechanisms, motivational factors, challenges, and…

In this article, the author presents a set of design principles that were used to construct and refine a lesson involving the TI-Nspire handheld graphing calculator through multiple enactments in high school algebra classrooms to assist students in constructing a deeper understanding of systems of linear inequalities, a high school algebra content…

Although group work is considered beneficial for problem solving, the listening that is needed for jointly solving mathematical problems is under-researched. In this article, the usefulness of two communication frameworks for understanding students' listening is examined, using data from an educational design research study in an upper secondary…

This paper presents an alternative approach of teaching systems of two linear equations to the students in Tanzanian ordinary secondary schools. I conducted a desk-based research on methods that have been used by in-service mathematics teachers for teaching systems of two linear equations in ordinary secondary schools. It was found that five…

In this article special sequences involving the Butterfly theorem are defined. The Butterfly theorem states that if M is the midpoint of a chord PQ of a circle, then following some definite instructions, it is possible to get two other points X and Y on PQ, such that M is also the midpoint of the segment XY. The convergence investigation of those…

The Higher-Order Thinking Skill Test Instrument on Quadratic Equations (HOTS-QE) was developed to measure the level of HOTS on the topic of quadratic equations among secondary school students. The HOTS-QE instrument consists of 17 structured subjective items divided into two smaller questions according to the three levels of HOTS, namely applying,…

The transition from arithmetic to algebra in middle school can be critical for students having persistent difficulties in mathematics. The leading perception in our project is that holistic relational thinking is an effective problem-solving tool in both arithmetic and algebra. We worked in collaboration with two teachers of special classes to…

This article shares an approach specifically for fostering equitable small-group, student-to-student discourse (S[superscript 3]D). The S[superscript 3]D approach is a two-phase process focusing on implicit strategies. Phase 1 involves assessment of current small-group discourse through three lenses: group dynamics, discourse quality, and teacher…

Representations are used throughout school mathematics for students to both think through a problem and communicate their ideas. Students also often come to mathematics class with a repertoire of representations. This article presents the ideas of different and multiple representations with conceptual connections as their underlying distinguishing…

This study revealed the fractional number sense form associated with daily life and the number sense of 8th-grade students with high academic success. This study aimed to determine fractional number sense which in eighth graders with high academic performance. This study has a qualitative patterned. The sample consisted of 20 students from the…

This paper focuses on patterns of instructional practices in mathematics classrooms in two Nordic contexts, Finland and Norway. While sharing some key features in terms of ways of organizing schooling and education, these two contexts also exhibit interesting differences in instruction at the classroom level. In using a standardized coding manual…

Despite the recognized importance of mathematical proof in secondary education, there is a limited but growing body of literature indicating how preservice secondary mathematics teachers (PSMTs) view proof and the teaching of proof. The purpose of this survey research was to explore PSMTs' knowledge and beliefs about proof and proof teaching in…

This study compares the impact of two New York State mathematics Regents-level course sequences on the number of secondary mathematics courses taken by New York City Department of Education (NYCDOE) students and explores the potential that programming decisions could increase or diminish the mathematics learning opportunity and achievement of…