Reform in secondary mathematics education has created changes regarding how to educate teachers. It is time to check the result of such changes. This study provides a snapshot look at the commonalities of ten pre-service teachers in regards to their mathematics knowledge and their attitudes about mathematics and mathematics education. Four themes…

This study, Helping Alleviate Statistical Anxiety with Computer Aided Statistics Classes, investigated whether undergraduate students' anxiety about statistics changed when statistics is taught using computers compared to the traditional method. Two groups of students were questioned concerning their anxiety about statistics. One group was taught…

Research with first year engineering students on an extended programme at the University of Pretoria indicates that competence in mathematics can be enhanced through academic support that combines the development of mathematical and non-mathematical skills. This paper investigates the effect of this approach on students' performance in mathematics…

At their final exam in linear algebra students at the author's university were given the possibility to choose between two types of proofs to be done. They could either prove two short statements by themselves or they could explain four steps in a given proof. This paper reports on investigations of students' responses to the choice option…

Most college algebra courses are offered in the spirit of preparing the students to move on toward calculus. In reality, only a vanishingly small fraction of the million students a year who take these courses ever get to calculus. This article builds a strong case for the need to change the focus in college algebra to one that better meets the…

This article presents questions and answers about ACT's College Readiness Benchmarks. ACT's College Readiness Benchmarks are the minimum ACT test scores required for students to have a high probability of success in credit-bearing college courses--English Composition, social sciences courses, College Algebra, or Biology. Colleges can use the…

Teaching mathematics in real-word contexts is a strategy to make math relevant for undergraduate students. However, very little research exists on students' methods of integrating contextual and mathematical knowledge through writing. This study uses an interdisciplinary writing assignment to investigate the relationship between students' written…

Although dogs seemingly follow the optimal path where they get to a ball thrown into the water, they certainly do not know the minimization function proposed in the calculus books. Trading the optimization problem for a related rates problem leads to a mathematically identical solution, which, it is argued here, is a more plausible model for the…

The purpose of this report is to examine results in mathematics for the ACT Educational Planning and Assessment System (EPAS) in schools nationwide. EPAS consists of three programs: EXPLORE[R] (for students in grade 8 or 9), PLAN[R] (for students in grade 10), and the ACT[R] test (for students in grade 11 or 12). The following questions are…

This study examines the links between Nevada's grade 12 mathematics courses and remedial mathematics courses in Nevada's public colleges and universities. It analyzes remediation rates by students' highest grade 12 mathematics course level and mathematics grade point average and by various student and school characteristics. The study was guided…

The purpose of this study was to determine if the use of a graphical teaching and learning approach via the graphing calculator enhances students' understanding of the formal definition of limit. College students in six sections of Calculus I participated by completing a test prior to the introduction of the definition, and completing a second…

Following the Guidelines for Assessment and Instruction in Statistics Education (GAISE) recommendation to use real data, an example is presented in which simple linear regression is used to evaluate the effect of the Montreal Protocol on atmospheric concentration of chlorofluorocarbons. This simple set of data, obtained from a public archive, can…

In this study the effectiveness of an arrow diagram which can help students apply the Chain Rule was investigated. Different variations of this diagram were used as mnemonic devices for applying the Chain Rule. For the investigation two instruments were developed, diagnostic test and post-test. The diagnostic test was developed to determine the…

An exploratory factor analysis and several confirmatory analyses were performed to evaluate the factorial structure of the Revised Mathematics Anxiety Rating Scale (RMARS) through the responses of 805 college students. On 559 students' scores, the instrument's construct validity was tested through a confirmatory factor analysis (CFA) and was found…

It is difficult to ensure that incoming students enrol in first year courses at a level that is commensurate with their ability. Not only do students come from a diverse range of backgrounds, but mathematics at university is, in general, more rigorous and conceptual than it is at high school, and success at high school does not always guarantee…