Within the context of traditional quality management principles, a program designed to enhance soft skills of College Algebra students was piloted in fall 2001. Results of the pilot project include increased retention, persistence, note-taking ability, and positive responses concerning course expectations. Quality enhancement efforts in this…

"Big Math for Little Kids," a comprehensive program for 4- and 5-year-olds, develops and expands on the mathematics that children know and are capable of doing. The program uses activities and stories to develop ideas about number, shape, pattern, logical reasoning, measurement, operations on numbers, and space. The activities introduce the…

The recent development of the British early years (3-5 years) maths curriculum is described as a function of successive educational reforms aimed at the primary school curriculum in general and the primary maths curriculum (5-12 years) in particular. Contradictions within this curriculum development process are explained in terms of current…

Exercises and problems about functions found in 24 middle-school textbooks from 15 countries were analysed using an adaptation of Balacheff's theory of conceptions and Biehler's notion of the prototypical domain of application of concepts in order to describe the practices associated with the notion of function. The analysis yielded five different…

Math difficulties share many common features with reading difficulties. In as much as they do so, the general approach to reading disability overlaps with math disability. Both math and learning to read share several domain-general features such as long-term and short- term memory, successive and simultaneous processing, flexibility in…

165 students, from the fifth, seventh and ninth grades were asked to solve written problems involving fractions. In the problems a reference quantity (RQ) was multiplied by a fraction (FR), yielding the value of a compared quantity (CQ). The fraction expressed either an part-whole ratio (PW), or a part-part ratio (PP). Six type of problems were…

This paper describes insights on how to promote mathematical reasoning in problem solving based on the mathematical experiences of participants in a long-term study in which the students engaged in strands of well-defined, open-ended mathematical investigations, as a context for research on the development of particular concepts and ways of…

This investigation describes the way in which a case study participant (aged 7) represented, posed and solved problems in a technology game-based environment. The out-of-school problem-solving context placed numeracy demands on the participant that were more complex and sophisticated than the type of mathematics experiences he encountered in…

Engineering students in technical universities in Sweden, as probably in many other countries, tend to treat mathematics as a mechanical subject in which you do calculations and manipulations and there is very little explanation. In order to create deeper understanding, verbal or written explanations by students can be beneficial. In our study we…

We describe an easy and fun project using water rockets to demonstrate applications of single variable calculus concepts. We provide procedures and a supplies list for launching and videotaping a water rocket flight to provide the experimental data. Because of factors such as fuel expulsion and wind effects, the water rocket does not follow the…

Online learning, case discussions, and stochastics instruction have all become increasingly active strands of research in mathematics education. This study integrates the three strands. The nature of the discourse during an online case discussion among prospective secondary teachers is analysed. The case focused on the teaching and learning of a…

A deliberate attempt is made in Business Mathematics oriented text books as well as in some reform calculus oriented text books to interpret the derivative f[prime](a) of a function y = f(x) at the value x = a as the change in the y-value of the function per "unit" of change in the x-value. This note questions the above interpretation and suggests…

A seemingly simple question in a cartoon about Pythagoras' Theorem is shown to lead to questions about the nature of mathematical proof and the profound relationship between mathematics and science. It is suggested that an analysis of the issues involved could provide a good vehicle for classroom discussions or projects for senior students.…

This paper reports a study designed to probe the abstraction ability that US Algebra I students can achieve in moving the concepts rate of change and accumulation between motion and money contexts. The Algebra I students used the technologies motion detectors and Interactive Banking software during a replacement unit focused on slope, ratio, and…

This article describes lessons that link mathematics topics with literature, the NCTM's Navigations series, and art projects. Each lesson is designed around a theme and is laced throughout with fantasy. (Contains 13 figures.)