We study the ideas about teaching and learning mathematics that undergraduate students generate when they encounter tasks designed to embed approximations of teaching practice in mathematics courses taken by a general population of students. These tasks attend to the dual goals of developing an understanding of mathematics content and an…

Learning mathematics is often justified as supporting students to make rational decisions, an important goal given the misinformation spread through social media every day. However, when asking preservice teachers to engage in a critical mathematics education activity in which they had to produce an argumentation that would persuade people to…

The aim of this qualitative study was to explore the thoughts of primary and secondary prospective mathematics teachers about educating mathematically gifted students. For this purpose, this research was conducted with 40 prospective mathematics teachers, 17 of whom were secondary mathematics prospective teachers, and 23 were primary mathematics…

Previous studies highlight the importance of investigate the construction in video-recorded learning situations. The aim of this study is to investigate how video-recordings can be used to enhance pre-service teachers' abilities to identify children's exploration of mathematics in preschools. Even if some previous studies have focused the use of…

The literature reports that students have difficulties connecting different meanings, multiple representations of the derivative, and performing reversibility processes between representations of f and f'. The research goal is to analyze the mathematical connections that university students establish when solving tasks that involve the graphs of f…

Research indicates that investigating phenomena, rather than reproducing facts, should be a core experience in the education of prospective mathematics teachers. Corresponding with its centrality to quality teacher education, there are multiple existing methodologies for analyzing the effects of investigation tasks on teachers' mathematical…

Due to the nature of RME, which sees mathematics as a human activity, there is never a fixed and complete theory for mathematics education. Therefore, it is seen as an approach that still needs to be developed. The aim of this research is to analyze the RME (Realistic Mathematics Education) activities prepared by the pre-service primary school…

Graph theory allows the student to work on problems that require imagination, intuition, systematic exploration, conjecturing, and reasoning. It implies that mathematical investigation skill is essential to be proficient in Graph Theory. In this study, we conduct empirical research that deals with associational research. There were 97 students…

In this article, the authors present a task that promotes mathematical creativity. The task focuses on defining new geometric concepts, whilst providing students with creative thinking opportunities. They discuss prospective mathematics teachers' experiences while conducting a geometric definition task. Prospective mathematics teachers who…

The COVID-19 pandemic provided students a rare opportunity to use their mathematical knowledge to make sense of a top-of-mind crisis. Based on a report in a major regional newspaper, we designed tasks that require an understanding of infection rates and an interpretation of a misleading claim made in the newspaper. Our analysis of 91 undergraduate…

Computational thinking and activity are vital aspects of what it means to conduct scientific and mathematical work. In light of this, some propose that students' mathematical education should include an integration of computing into their mathematical experiences, giving students opportunities to engage with computational tools as they reason…

Mathematics plays a crucial role in engineering education. Students who are good at math are often advised to consider engineering as a career. In this study, engineers, mathematics teachers, and engineering professors were asked about the type of mathematics representative of engineering, whether the engineering problems created by math…

Students often perceive mathematics as a challenging and abstract subject, leading to disengagement and anxiety. To address these challenges, educators have increasingly turned to math games as a pedagogical tool to make learning more interactive and enjoyable. This paper explores the potential of math games, particularly Bachet's game, as…

In this qualitative study, the researchers investigated the types of K-6th grade lessons 16 preservice elementary teachers created based on mathematics-themed children's books. Lessons were analyzed using Stein et al.'s (2017) Task Analysis Guide (TAG), as well as grouped based on grade level and covered Common Core State Standards Mathematical…

Out-of-class activities play a crucial role in student learning. However, student opinions on the design of these activities are rarely measured across several different classes. The purpose of this study is to understand students' preferences and attitudes towards new "Engaged Mathematics Labs" in which professors and teaching…