This article reports on a study which used the APOS (action-process-object-schema) theoretical framework to investigate university students' understanding of derivatives and their applications. Research was done at the Westville Campus of the University of KwaZulu-Natal in South Africa. The relevant rules for finding derivatives and their…

This experimental study aims to investigate the effects of three vocational English classes, each one academic semester in duration, and using the concentrated language encounter approach and reciprocal peer teaching strategies. This study employed a time-series design with one pre-experiment and two post-experiments. Discourse and frequency…

We would like to share with you our ongoing experiences with "hands-on statistics" lessons we have recently carried out. We have developed a new experimental path for teaching young students using fundamental concepts of "statistics": uncertainty of the measurement, the uncertainty of the mean, the mean itself, etc. The methods…

Many of UNC's E-Learning efforts are new and an evaluation of their effects is premature. Despite this, evaluating learning outcomes in online education may provide insight for future decisions. In order to evaluate these courses, UNC General Administration's Policy & Funding Analysis Division used a statistical technique that allows one to…

This paper shows how the variance and standard deviation can be represented graphically by looking at each squared deviation as a graphical object--in particular, as a square. A series of displays show how the standard deviation is the size of the average square.

This article reports on students' problem-solving approaches across three representations--number lines, coordinate planes, and function graphs--the axes of which conventional mathematics treats in terms of consistent geometric and numeric coordinations. I consider these representations to be a part of a "hierarchical representational…

The purpose of this study is to investigate and conceptualize the ranks of importance of social cognitive variables on university students' computer programming performances. Spatial ability, working memory, self-efficacy, gender, prior knowledge and the universities students attend were taken as variables to be analyzed. The study has been…

This paper introduces a method of extending natural language-based processing of qualitative data analysis with the use of a very quantitative tool--graph theory. It is not an attempt to convert qualitative research to a positivist approach with a mathematical black box, nor is it a "graphical solution". Rather, it is a method to help qualitative…

The purpose of this quasi-experimental study was to explore how seventh graders in a suburban school in the United States developed argumentation skills and science knowledge in a project-based learning environment that incorporated a graph-oriented, computer-assisted application. A total of 54 students (three classes) comprised this treatment…

While sport and student-athletes have featured in the Australian education system since compulsory schooling, there has been no analysis to date of the link between academic achievement and elite student-athletes. However, this is in stark contrast to the United States of America (US), where student-athletes have been the subject of sustained…

The aim of this study is to investigate the effects of an instructional intervention on enhancement the pre-service science teachers' (PSTs) science process skills (SPSs) and to identify problems in using SPSs through Laboratory Applications in Science Education-I course (LASE-I). One group pretest-posttest pre-experimental design was employed. An…

The main objective of this paper is to analyse the effect of the affordances of a virtual learning environment and a personal learning environment (PLE) in the configuration of the students' personal networks in a higher education context. The results are discussed in light of the adaptation of the students to the learning network made up by two…

Based on the Theory of Transactional Distance and Needs Assessment, this article reports a procedure for quantitatively measuring how close the actual delivery of a course was to ideal, as perceived by students. It extends Zhang's instrument and prescribes the computational steps to calculate relative proximity at the element and construct…

The IS-ML model is a basic tool used in the teaching of short-term macroeconomics. Teaching is essentially done through the use of graphs. However, the way these graphs are traditionally taught does not allow the learner to easily visualise changes in the curves. The IS-LM simulation program overcomes difficulties encountered in understanding the…

We propose a procedure for the assay of fermentation in yeast in microcentrifuge tubes that is simple and rapid, permitting assay replicates, descriptive statistics, and the preparation of line graphs that indicate reproducibility. Using regression and simple derivatives to determine initial velocities, we suggest methods to compare the effects of…