Proof and argumentation are essential components of learning mathematics, and technology can mediate students' abilities to learn. This systematic literature review synthesizes empirical literature which examines technology as a support for proof and argumentation across all content domains. The themes of this review are revealed through analyzing…

As a component of the ongoing development of the mathematics curriculum in China, we compare the country's high school mathematics textbooks with those of several other countries. We base our analysis on the assumption that textbooks, as primary printed teaching resources, are key tools for interpreting educational policy. In this paper, we…

As part of a large-scale survey of over 4000 undergraduates at British universities, 238 economics students reported on their experiences of studying post-compulsory secondary mathematics qualifications (A-levels) and the preparation they provided for their degrees. Participants were positive about their experience of post-compulsory mathematics…

Although feedback is a very important component of assessment in higher education, there is substantial evidence that students view traditional methods of feedback as deficient in a number of respects. In this paper we explore how students perceive generic feedback on a mathematics assignment provided via screencasts. Our study is based on a…

In a developmental research approach, from a sociocultural position, we address the meanings students make of mathematics in teaching sessions and how this relates to the intentions of the teacher and approaches to teaching. Analyses of data come from small group tutorials of one tutor with first year university mathematics students (n=5). We…

Basic calculus skills that are prerequisites for advanced mathematical studies continue to be a problem for a significant proportion of higher education students. While there are many types of revision material that could be offered to students, in this paper we investigate whether short, narrated video recordings of mathematical explanations…

The maximum power theorem is a useful extension to work on EMF and internal resistance at school level. Furthermore, a very simple physical collision model can be used to show equivalent mathematical patterns to those found with the maximum power theorem and to emphasize fundamental links to ideas of impedance matching. (Contains 2 tables and 6…

The collection of chapters in this special book examines educational practices during the COVID-19 viral outbreak. This special book brings together a variety of studies and scholars in an effort to exemplify how the COVID-19 shapes the learning and teaching processes in different countries. The twelve chapters selected for this special book…

The collection of chapters in this special book examines educational practices during the COVID-19 viral outbreak. This special book brings together a variety of studies and scholars in an effort to exemplify how the COVID-19 shapes the learning and teaching processes in different countries. The twelve chapters selected for this special book…

The fitting of dynamical systems to psychological data offers the promise of addressing new and innovative questions about how people change over time. One method of fitting dynamical systems is to estimate the derivatives of a time series and then examine the relationships between derivatives using a differential equation model. One common…

The study we report here examines parts of what Chevallard calls the "institutional" dimension of the students' learning experience of a relatively under-researched, yet crucial, concept in Analysis, the concept of infinite series. In particular, we examine how the concept is introduced to students in texts and in teaching practice. To…

Supplemental Instruction has a long history of effective use in third level education in the United States. However, there are few rigorously controlled studies in which the potentially confounding effects of student aptitude and experience and of "volunteer effects" have been controlled. Analysis of the effects of peer assisted learning…

In this article, the author considers a student exercise that involves determining the exact and numerical solutions of a particular differential equation. He shows how a typical student solution is at variance with a numerical solution, suggesting that the numerical solution is incorrect. However, further investigation shows that this numerical…

This present study investigated engineering students' conceptions and misconceptions related to derivative, particularly interpreting the graph of a function and constructing its derivative graph. Participants were 147 first year engineering students from four universities enrolled in first year undergraduate calculus courses with or without the…

Extracts from booklets providing critical reviews of and recommendations related to textbooks of the Nuffield Mathematics Project are presented. (SD)