Starts from the premise that simultaneous study of design and learning together may throw light on epistemological and psychological issues in learning mathematics. Studies undergraduate science students who take mathematics classes and reveals a complex relationship between design and learning with implications for the design of instructional…

Describes a process for creating a more diverse set of experiences for undergraduate students in mathematics by focusing on linear algebra. Emphasizes that the diversity of the activities is generated in part through the use of a taxonomy that addresses the nature of the activities rather than a hierarchy of levels of difficulty. Contains 13…

Describes the results of part of a study into mathematical problem solving in secondary schools. Concludes that positive results were achieved, in part, as a consequence of the time that was spent in problem-solving lessons which allowed students to practice reading and working with word problems and working on basic material, particularly…

Reports on ongoing developmental research efforts to adapt the instructional design perspective of Realistic Mathematics Education (RME) to learning and teaching of collegiate mathematics using differential equations as a specific case. Focuses on the RME design heuristic of guided reinvention as a means to locate the starting point for an…

Discusses the objectives, organization, assessment, student reactions, and evaluation of an abstract algebra course in which small-group instruction was used. Concludes that better understanding is achieved and the students assimilate more concepts using this method, although the pace is slower than that in a traditional classroom setting.…

A small-group tutorial technique is described that develops creative thinking in students having difficulties in problem solving. (MP)

Discusses the initial purposes of the National Curriculum assessment. Argues that pupils and teachers could benefit from a better analysis of assessment data by considering a system of assessment used in France. Suggests that the use of information technology would enable formative, diagnostic, summative, and evaluative assessment to take place…

Explores the characteristics of indigenous learners and pedagogical strategies to assist in both student learning and teacher delivery. Focuses on teaching mathematics to Aboriginal learners and non-Aboriginal students in Australia and elsewhere. (Contains 14 references.) (Author/ASK)

Attention is drawn to an ancient Greek method for finding the least common multiple (LCM) of two numbers. A link is established between this method and a well-known method of obtaining the highest common factor (HCF) numbers. This leads to consideration of some relationships between HCF and LCM. (Author/MK)

Presents the equations of motion governing the trajectory of a cricket ball subject to a linear drag force. Uses a perturbation expansion technique to solve the resulting trajectory equation for the range of a cricket ball struck into the outfield. (Author/ASK)

Adopts several strategies for successful teaching and learning of linear algebra, which consist of a set of computer projects allowing students to explore new concepts, make conjectures, apply theorems, and work on applied projects of their choice. The resulting improvement in student learning has been remarkable. (Contains 12 references.)…

Mathematics is often referred to as a language. This paper attempts to explore the implied meanings of such statements and to outline a rationale for utilizing the language-structure of mathematics in mathematics instruction. (Author/MK)

The potentials of computer systems designed to help students in learning mathematics are explored, and some barriers to implementation are discussed. (MP)

Low motivation to study abstract theoretical material and lack of background in mathematics are two problems encountered by students learning electronics. To combat these problems a systems approach to learning is suggested for the study of electrical circuits and devices. (Author/TG)