Escape the Math Room is a fun, interactive, sequence of puzzles designed to encourage mathematical collaboration, team work, and ingenuity. Using advanced mathematical topics in an accessible way, Escape the Math Room appropriately challenges students ranging from high school to advanced undergraduate. The activity can be adjusted by adding or…

Mathematics preparatory workshops were offered to college students at a diverse urban undergraduate institution. The goal was to prepare students for their mathematics course, by offering non-credit bearing and free preparatory workshops. The lack of adequate preparation for mathematics courses is a barrier for student engagement in future STEM…

Research has identified several aspects that influence students' transition to mathematics studies at university, but these aspects have often been studied separately. Our study contributes to the field's understanding of the transition between upper secondary and university mathematics by taking a multifaceted perspective not previously explored.…

In this paper, we propose an elementary proof of Niven's Theorem in which the tangent function will have a primary role.

For many mature-aged students, there can be a considerable gap between finishing formal study and beginning university. They are often required to draw on qualifications and skills, including mathematics, which are dated, but necessary for success. Most universities offer several pathways that prospective students can take to enter university:…

This study focuses on the mathematics department at a South African university and in particular on teaching of calculus to first year engineering students. The paper reports on a cause-effect analysis, often used for business improvement. The cause-effect analysis indicates that there are many factors that impact on secondary school teaching of…

The focus of the current proposal is to examine the effect of two dynamic simulations on the participants' conceptions of rate of change. Conceptions of rate of change were measured according to Carlson et al.'s (2002) Mental Actions framework and how the participants related the physical simulations to the graphical representations (Heid, et al.,…

This article describes a sequence of design research projects, some exploratory others more formal, on the teaching of modelling and the analysis of modelling skills. The initial motivation was the author's observation that the teaching of applied mathematics in UK high schools and universities involved no active modelling by students, but was…

The phenomenon in which students enter university under-prepared for the mathematical demands of their undergraduate courses, regularly referred to as the 'Maths Problem', has been widely reported in Ireland, UK, Australia, and the US. This issue has been of particular concern in Ireland recently, with beginning undergraduates' performance of…

Applying the Mathematical Knowledge for Teaching framework, we discuss the components of teacher knowledge that might be useful in supporting mathematical inquiry, and examine ways in which we strive to develop this knowledge within a middle grades mathematics program for undergraduate students who are prospective teachers. Using sample activities…

In 2014 we commenced working on the Inspiring Mathematics and Science in Teacher Education (IMSITE) project, aimed at improving mathematics and science education in Australia by improving the recruitment, development, and retention of mathematics and science teachers. In this project we undertook a range of activities, the most exciting of which…

Deficiencies in beginning undergraduate students' basic mathematical skills has been an issue of concern in higher education, particularly in the past 15 years. This issue has been tracked and analysed in a number of universities in Ireland and internationally through student scores recorded in mathematics diagnostic tests. Students beginning…

It is well documented in both the British press and mathematics education literature that many consider A-levels (qualifications for secondary school leavers in England, Wales and Northern Ireland) to be insufficient preparation for undergraduate mathematics study in the UK. A-level Mathematics and Further Mathematics are not solely intended for…

In this article, the authors begin by considering symbolic literacy in mathematics. Next, they examine the origins of misuse of the equals sign by primary and junior secondary students, where "=" has taken on an operational meaning. They explain that in algebra, students need both the operational and relational meanings of the equals…

Validating proofs and counterexamples across content domains is considered vital practices for undergraduate students to advance their mathematical reasoning and knowledge. To date, not enough is known about the ways mathematics majors determine the validity of arguments in the domains of algebra, analysis, geometry, and number theory--the domains…