This article will provide a historical perspective on the use of technology in education by focusing on the field of mathematics education. It will focus specifically on two technologies - presentation tools and calculating tools - and will explore their history and evolution as an example of how technological change, while not dramatically…

Math computation is a foundational skill for students developing higher-level mathematics problem-solving skills and represents a primary deficit for students struggling in mathematics. Students with mathematics difficulties also tend to have difficulties with other executive functions. One domain that is systematically part of most mathematical…

Within the commognitive perspective, ritual and explorative routines are used in a very particular way to distinguish students' routines according to whether they are driven by social reward or by generating a substantiated narrative. Explorative routines in this theorisation may refer not to inquiry-based activity but to the result of a student's…

Math anxiety is a negative affective reaction in situations concerning mathematics and is related to poor math performance and a lower mathematical self-concept. Gender differences appear in math anxiety even though gender differences in math abilities are non-existent or minimal in effect size. In the present study, gender and age differences in…

Mathematical concepts are regularly used in media reports concerning the COVID-19 pandemic. These include growth models, which attempt to explain or predict the effectiveness of interventions and developments, as well as the reproductive factor. Our contribution has the aim of showing that basic mental models about exponential growth are important…

Early arithmetic skills, and in particular the understanding of the part-whole relationship, are currently considered crucial for future arithmetic achievement. They are complex skills extending far beyond the mastery of counting procedures. In order to develop these arithmetic skills in kindergarten children, we developed a game-based approach…

This article presents several activities suitable for a transition to proofs course. In addition, this article surveys literature in support of active learning in the transition to proofs course and discusses how these activities have been successfully implemented in one such course.

Language-responsive instructional approaches are intended to enhance the mathematics learning of students with low academic language proficiency, mostly by enriching mathematical content trajectories with systematic language-learning opportunities. However, little is known about their effects (and in particular differential effects) in…

The aim of the present study was to determine the reliability and differences between three fascicle length (FL) estimation methods when utilizing a 10-cm ultrasound (US) probe. Thirteen males (24.1 ± 3.8 years, 79.3 ± 14 kg, 179 ± 6.6 cm) participated. Bicep femoris long head (BFLH) US images were collected on two separate occasions. Three…

Preservice elementary teachers tend to have higher mathematics anxiety than other undergraduate majors, which can be mitigated through building self-efficacy. Teacher education programs can address this deficit through methods courses that provide opportunities for preservice teachers to construct mathematical concepts and practice instruction.…

The mathematical form of the magnetic field due to a current loop, and the fact that it is identical to the electric field due to an electric dipole in the far field, are fundamental to our understanding of electromagnetism. While undergraduate level electromagnetism textbooks usually derive the electric field from an electric dipole, few derive…

Microblogging sites have become important data sources for studying network dynamics and information transmission. Both areas of study, however, require accurate counts of indegree, or follower counts; unfortunately, collection of complete time series on follower counts can be limited by application programming interface constraints, system…

In this paper, we present a qualitative case study on an online graduate program for practicing teachers and educators that explores contemporary mathematics and its integration into K to 12 education. Data for the study comprised students' work in the courses, student feedback, and notes from instructor debriefings for two cohorts of the program.…

In this theoretical paper, I review the history of research in educational psychology that inspired Shulman's notion of pedagogical content knowledge (PCK) and I critically examine interpretations of PCK reflected in prominent theoretical frameworks for mathematical knowledge for teaching (MKT). I propose a theory of PCK--grounded in radical…

Schools have been using various approaches to address the pandemic-related struggles that students are experiencing with mathematics. There is an overwhelming consensus among both educators and researchers that we need to adopt acceleration rather than remediation as a tool to counteract the challenges that students currently face. Acceleration is…