The metaphors that students form and encounter have been shown to exert a powerful influence on how they think about mathematics. In this paper, we explore the linguistic metaphors about learning and doing mathematics that were prevalent in 11 advanced mathematics lectures. We present four metaphor clusters that were common in the corpus that we…

This paper describes the development, results, and future directions of the mathematics component of the EMERGE Summer Program at Northeastern Illinois University. Initiated summer 2014, EMERGE offered English and mathematics sessions for incoming freshmen. The mathematics session aimed to strengthen participants' mathematical foundations,…

Ewald Fettweis (1881-1967) was the first researcher to develop and establish the term ethnomathematics. This article presents his contribution to ethnomathematics and its development as a scientific theory. We will show that he was the first researcher to realize and practice ethnomathematics in his research and to explain it in his lectures, thus…

Computer-aided assessment (CAA) has been used at a university with one of the largest mathematics and engineering undergraduate cohorts in the UK for more than ten years. Lecturers teaching mathematics to first year students were asked about their current use of CAA in a questionnaire and in interviews. This article presents the issues that these…

Mathematics is full of surprises and beauty. In this article, the author discusses three favourite topics that he finds both amazing and amusing: (1) the problem of the possibility of subdividing a rectangle into a number of different squares; (2) the arrangement formed when several soap bubbles meet; and (3) circles and spheres.

A significant issue mathematics instructors face is how to cover all the material. Mathematics teachers of all levels have some external and internal pressures to "get through" all the required material. The authors define "the coverage issue" to be the set of difficulties that arise in attempting to cover a lengthy list of topics. Principal among…

This article reports on the learning conversations between a mathematician and a mathematics educator as they worked together to change the delivery model of a third year discrete mathematics course from a traditional lecture mode to team-based learning (TBL). This change prompted the mathematician to create team tasks which increasingly focused…

Most measurement techniques have some limitations imposed by a sensor's signal-to-noise ratio (SNR). Thus, in analytical chemistry, methods for enhancing the SNR are of crucial importance and can be ensured experimentally or established via pre-treatment of digitized data. In many analytical curricula, instrumental techniques are given preference…

In this article, I present some "axioms" that relate to undergraduate mathematics education. When I first heard the word axiom, it was defined as a "self-evident truth"; but an axiom is not a truth, it is a subjective assumption on which an argument or proof can be based. My purpose in presenting these axioms is to stimulate debate about…

Undergraduate education in the STEM fields (science, technology, engineering, and mathematics) needs improvement, a conclusion that multiple national reports over the past two decades have reached. Critiques of STEM education may emphasize different aspects of the STEM undergraduate education problem. Nevertheless, each delivers one clear and…

Much of modern mathematical research requires a serious level of commitment and ability on the part of the researcher and, as a natural consequence, precludes any real involvement by undergraduate mathematicians. However, to put it crudely, Computer Algebra Systems, can make experts of us all. With the use of such systems even the average…

This article utilizes several examples to describe the use of MathCAD, a computer scratchpad for calculations, within a lecture-demonstration method of teaching general calculus. Both hardware requirements and software features are discussed specifically related to the proper design of student worksheets with emphasis on parameter variation. (JJK)

Describes a remedial college course in intermediate algebra designed to improve student success rate. Suggests that the course was easy and inexpensive to implement and required a minimum of reorganization. (PK)

"Active learning" where students are required to do something in the classroom rather than simply listen to a lecture has been repeatedly shown to be superior to the lecture method in advancing student learning. The use of case studies in the classroom is one of the most successful active learning methods of teaching science, technology,…

The primary purpose of this report is to provide guidelines to school systems and businesses on ways to increase the likelihood that science and math school-business partnerships will be successful in: (1) improving student competence in science and math; (2) increasing student interest in science and mathematics related subjects; (3) increasing…