One challenge for an optimal design of the mathematical components in engineering education curricula is to understand how the procedural and conceptual dimensions of mathematical work can be matched with different demands and contexts from the education and practice of engineers. The focus in this paper is on how engineering students respond to…

Textbooks in applied mathematics often use graphs to explain the meaning of formulae, even though their benefit is still not fully explored. To test processes underlying this assumed multimedia effect we collected performance scores, eye movements, and think-aloud protocols from students solving problems in vector calculus with and without graphs.…

This study examined whether a correlation was present between demographic variables and academic success at a two-year institution in Alabama. Developmental status, gender, and race were compared with pass/fail status in the first college-level math class and graduation status. Results indicated that the developmental math classes were effective…

The aim of this study was to validate an instrument that can be used by instructors or social scientist who are interested in evaluating statistics anxiety. The psychometric properties of the English version of the Statistical Anxiety Scale (SAS) was examined through a confirmatory factor analysis of scores from a sample of 323 undergraduate…

This report analyzes evidence from a new study assessing the effectiveness of Quantway 1 (QW1), a single-term accelerated developmental math course with a focus on quantitative reasoning. Quantway® is one of the Pathways courses (along with Statway®) developed by a network of faculty and content experts convened by the Carnegie Foundation to…

The current literature suggests that the use of Husserl's and Heidegger's approaches to phenomenology is still practiced. However, a clear gap exists on how these approaches are viewed in the context of constructivism, particularly with non-traditional female students' study of mathematics. The dissertation attempts to clarify the constructivist…

Despite a longstanding narrative celebrating the inexorable success of American colleges and universities, at certain pivotal times very powerful elites have found the higher education sector to be pitiful, broken, and in urgent need of reform. This is the story of the first iteration of that discontent. This dissertation is an account of American…

This article draws on extensive experience working with secondary and tertiary teachers and educators using an applet to display rational polynomials (up to degree 7 in numerator and denominator), as support for the challenge to deduce as much as possible about the graph from the graphs of the numerator and the denominator. Pedagogical and design…

For efficiency in a linear algebra course the instructor may wish to avoid the undue arithmetical distractions of rational arithmetic. In this paper we explore how to write fraction-free problems of various types including elimination, matrix inverses, orthogonality, and the (non-normalizing) Gram-Schmidt process.

The trends of teaching mathematical thinking and the existence of two thinking skills (critical dan creative thinking) the required by 21st century skills have created needs for teachers to know their students' thinking processes. This study is intended to portray how mathematics teachers expect their students showing their thinking processes in…

Students who attend two-year institutions are not always academically prepared for the level of work that is required to be successful. Two-year institutions determine students' readiness for college-level mathematics courses using one of three placement methods. However, few empirical studies have investigated which placement methods are most…

Problem-solving is regarded as a major component of mathematical performance, and well-designed problem-solving-based learning environments have the potential to assist students in developing a meaningful understanding of mathematical concepts and procedures. In this respect, given its various features, dynamic mathematics software has been…

The article discusses the integration of cartoons into a finite mathematics college course. However, cartoon integration is appropriate for any educational level STEM course. Students and the author used an online comic strip creator, MakeBeliefsComix.com, to create cartoons that connected concepts to the real world and history. Following Cho,…

Many STEM subjects are strongly hierarchical: learning and progression depends upon threshold concepts and retained knowledge from previous study. To help progress learning, support can be offered during regular study periods, but what happens during breaks between studies? The requirement to provide continuity during study breaks is recognised as…

The purpose of this case study is to explore the integration of technology into teaching at a mathematics department at a large South African University. Both quantitative and qualitative data were collected from staff teaching undergraduate mathematics. The study shows that many staff members feel that chalkboards are still more suitable than…