This paper reports on five secondary school mathematics prospective teachers' conceptions of "extreme point." The analysis of the data addressed students' definitions, examples, and evaluation of given examples, with special attention to the related domain. Written assignments and individual interviews uncover salient, erroneous concept…

In recent years, there has been a growing effort to deepen our understanding of the complexities and mechanisms involved in integrating technology into mathematics education. This pursuit has led to the emergence of various theoretical frameworks, among which the Structuring Features of Classroom Practice (SFCP) (Ruthven, 2009) stands out. This…

Mental brackets constitute an idiosyncratic use of brackets sometimes used to evaluate arithmetic expressions and are closely connected with students' structure sense. The relevant literature describes the use of mental brackets focusing on primary school students and in the context of arithmetic. Using 181 high school students' solutions to seven…

Despite compelling arguments for the importance of revisiting school mathematics in pre-service mathematics teacher education, there is little indication of how such revisiting might be done, particularly at secondary level. We argue that revisiting provides three key opportunities for learning: (1) additional time on the mathematics that…

The present study aims to examine mathematical creativity in students' work in geometry. Research conducted was based on two aspects: (a) examining the influence of geometrical figure apprehension on the production of multiple solutions and (b) how the necessity to construct auxiliary lines in the given shape promotes the production of multiple…

It is a well-known fact that many students struggle during the transition from school to university mathematics. The aim of our quantitative study was to clarify the role of students' beliefs concerning the nature of mathematics for a successful transition. We distinguish between static beliefs (mathematics as a finished system of rules, facts and…

In this paper, we will examine the mathematical knowledge that prospective mathematics teachers draw upon when graphing function graphs and curves, with a special focus on the occurrence of asymptotes. Three tasks which involved a graph of a rational and exponential function and a hyperbola as a conic section were designed and administered to…

Network analysis is a topic in secondary mathematics education of growing importance because it offers students an opportunity to understand how to model and solve many authentic technology and engineering problems. However, very little is known about how students make sense of the algorithms typically used in network analysis. In this study, I…

This study explored the unique integration of mathematics tutors in teaching high school mathematics in a Virtual mathematics school (VMS). The tutors were three excelling STEM students who did not have any formal preparation for teaching before their work in the VMS. The goal of the study presented in this paper was to design a model of…

The importance of integrating effective teaching strategies in Professional Development (PD) programs for Educational Robotics (ER)-based Science Technology Engineering and Mathematics (STEM) education is increasingly recognized. However, we need to add to the growing body of studies on comprehensive instructional approaches for teaching robotics…

Previous studies have found positive effects of Game-Based Learning for mathematics. While most studies assume that this effect is explained by the presence of flow/immersion during games, this has not yet been established. The aim of the current study is to verify if immersion indeed is associated with mathematical skills improvement when using a…

We report on a study focused on identifying how the notion of "the mathematician" is constructed in lower secondary Mexican mathematics textbooks. To conduct the study, we adopted a Foucauldian approach that allows us to identify the way in which the notion of the mathematician is constructed but also to delineate the possible effects…

Excellent Science, Technology, Engineering, and Mathematics (STEM) employees are in constant demand worldwide. The current study explores Israeli students' choices to study and pursue careers in STEM fields, while students' level of excellence in mathematics in secondary school is explored as a predictor for choosing a STEM track in future study…

Many scholars call for teacher educators to provide experiences that can lead prospective teachers to adopt and implement culturally responsive pedagogy in mathematics classrooms. This qualitative investigation analyzed interviews from preservice secondary mathematics teachers using Hernandez, Shroyer, and Morales framework for culturally…

Our goal in this article is to organise an epistemological matrix for the concept of rational number that contemplates its different meanings. Aiming at understanding the various ways to signify the rational numbers and based on the theoretical-methodological approach of conceptual profiles, we produce and analyse data from various sources,…