Adding Digital Technologies curriculum content into primary classrooms may feel, to many primary teachers, like a new burden and more work--but many aspects of computational thinking can be explored in the context of our existing mathematics programmes. This article highlights the connection between computational thinking and mathematics, and…

The empirical law of large numbers is an important content in secondary school mathematics. Tasks used to analyze students' understanding of this law are often based on the hospital problem, but vary in various features, leading to mixed and conflicting empirical results. To identify task features that support students when approaching this type…

All students need to discuss mathematics to develop and deepen understanding. However, for English Learners (ELs), peer dialogue is imperative and indispensable to conceptual understanding as they participate in mathematical practices and engage in increasingly sophisticated uses of language (Heritage, Walqui, and Linquanti 2015). As ELs share…

The purpose of this mixed-methods study was to explore how undergraduate students in an applied calculus course used the written curriculum (i.e., textbook, online homework system, and previous exams). The study design included three phases: (a) an online survey, (b) individual observations, and (c) student interviews. Students' survey responses…

In this paper, we analyse how N = 31 in-service teachers study the question that could generate a Study and Research Path (SRP): How does a parabolic antenna work? We also consider how they design lessons based on this question, by adopting the pedagogy of questioning the world according to the Anthropological Theory of the Didactic (ATD). The…

This study aims to determine the mathematical connection ability of elementary school students in solving mathematical problems. This research uses the qualitative approach with descriptive method. We used observation, interview, and test to collect data. This study shows that 6.67% of the samples scored between 60 and 69 in the fair category. A…

This study was conducted with the aim of investigating the current knowledge of Primary Teachers and Primary Pre-service Teachers on the misconceptions of primary school students about the subject of fractions. The qualitative research method of case study was used to conduct the research. The data were collected with semi-structured forms that…

Although there is extensive research on attrition in gatekeeper courses and students' cognition about calculus concepts, there is one population in introductory calculus that remains understudied: those who failed their initial course and chose to repeat it rather than change majors. These students can provide insight into overcoming poor…

The following research focuses on Game-Based Learning (GBL) for assessment through the lens of designing and validating a stealth assessment for the calculus game Variant: Limits™. The process of using Evidence-Centered Design (ECD) to create a valid assessment is highlighted through the development of a competency model and scoring rubrics. A…

Inside the discipline, mathematical work consists of the interplay between stating and refining conjectures and attempting to prove those conjectures. However, the mathematical practices of conjecturing and proving are traditionally separated in high school geometry classrooms, despite some research showing that students can successfully navigate…

This paper addresses teachers' corporeality and its influence on the structuring of mathematics classroom interaction. The present contribution explores the way a teacher's bodily activity is implicated in the (re)production of social inequality, and challenges the assumption that the teaching and learning of mathematics is primarily a linguistic…

Students studying statistics often misunderstand what statistics represent. Some of the most well-known misunderstandings of statistics revolve around null hypothesis significance testing. One pervasive misunderstanding is that the calculated p-value represents the probability that the null hypothesis is true, and that if p < 0.05, there is…

We describe the use of student-generated video content to assess students' engagement with, and understanding of, problem-solving skills. In this framework, students are tasked with using technology to create videos that show them working through, and explaining solutions to, challenging calculus exercises. The videos are then posted online,…

At the college level, it can be difficult to engage students outside the classroom through the use of effective homework assignments. Although it is straightforward to create assignments that test the ability to carry out computations as discussed in class, it is more challenging to create assignments that encourage students to think more…

The fundamental theorem of calculus (FTC) plays a crucial role in mathematics, showing that the seemingly unconnected topics of differentiation and integration are intimately related. Indeed, it is the fundamental theorem that enables definite integrals to be evaluated exactly in many cases that would otherwise be intractable. Students commonly…