The goal of this paper is to promote computational thinking among mathematics, engineering, science and technology students, through hands-on computer experiments. These activities have the potential to empower students to learn, create and invent with technology, and they engage computational thinking through simulations, visualizations and data…

This article gives an elementary proof of the famous identity [image omitted]. Using nothing more than freshman calculus, the present proof is far simpler than many existing ones. This result also leads directly to Euler's and Neville's identities, as well as the identity [image omitted].

A challenging problem in some developing countries such as Nigeria is inadequate training of students in effective problem solving using the core concepts of their disciplines. Related to this is a disconnection between their learning and socio-economic development agenda of a country. These problems are more vivid in statistical education which…

LOGO and turtle graphics were an influential movement in primary school mathematics education in the 1980s and 1990s. Since then, technology has moved forward, both in terms of its sophistication and pedagogical potential; and learner experiences, preferences and ways of thinking have changed dramatically. Based on the authors' previous work and a…

Considered are the main elements of computational chemistry problems and how these elements can be used to formulate the problems mathematically. Techniques that are useful in devising an appropriate solution are also considered. (Author/TG)

A systematic study of the mathematical competence of all first-year engineering undergraduates at Plymouth Polytechnic, England is described. Results of a remedial mathematics program geared towards individualized instruction are presented. (MP)

This article presents a study in which applications were integrated in the Multivariable Calculus course at the Technion in the framework of supplementary tutorials. The purpose of the study was to test the opportunity of extending the conventional curriculum by optional applied problem-solving activities and get initial evidence on the possible…

Monitoring of the errors resulting from the solution of a set of linear algebraic equations is conventionally achieved using either the mathematical standard perturbation theory for ill-conditioning or the computer studies route through interval arithmetic. Proposes an alternative based on continuous monitoring of the errors in each operation. The…

Examines situations from the viewpoint of how a solver sees a mathematics problem situation to obtain some insights into the kinds of activities that help solvers overcome states where they get stuck. Discusses the importance of investigating problem situations and gathering information about them and the relationship between such activities and…

Describes a series of empirical studies designed to investigate the nature of learners' difficulties with the proof technique of structural induction. Indicates that a constant factor was the role of implication in induction. Concludes that the conceptual gap between knowing how to apply the principle of induction and understanding why it is valid…

Examines the impact of the recent shift towards calculating and computing tools on the nature of learning in traditionally difficult curriculum area. Focuses on the use of graphic calculators by undergraduates taking an innovative new mathematics course at Open University. Indicates that graphic calculator technology acted as a critical mediator…

A major source of challenging problems for students is the use of higher mathematics to derive elementary problems. Several examples are given. (MP)

The role and activities of university mathematics departments in Third-World countries are examined. These institutions are largely responsible for their nations' efforts at developing mathematics within their own borders, and it is concluded by the author that these structures are seriously deficient. (MP)

Research on college students' ability to estimate means and variances for sets of data showed that they were more able to estimate means, and that various characteristics of the data (e.g. magnitude of numbers) influenced the accuracy of estimates. (SD)