The aim of this study is to identify prospective secondary mathematics teachers' opinions about the mathematical modeling method and the applicability of this method in high schools. The case study design, which is among the qualitative research methods, was used in the study. The study was conducted with six prospective secondary mathematics…

Discusses the role of context problems as they are used in the Dutch approach known as realistic mathematics education (RME). Uses an RME design for a calculus course to illustrate that theory based on the design heuristic using context problems and modeling, which was developed for primary school mathematics, also fits advanced topics such as…

Investigates issues of mathematics instruction of problems in blocks. Discusses the best way to construct mathematical problems with connections to one another as parts of a coherent whole and how to reflect on the types of connections that can arise between them. (Author/KHR)

Suggests that mathematical modeling is "a way of life for everyone." Describes the M's of mathematics which include methods, models, and modeling; and the R's of mathematics which are reasoning, reading, 'riting and 'rithmetic. Outlines their role in promoting "the way of life" and discusses implications for the 16-19 curriculum. (Author/ASK)

Included are brief articles on multiplication of negative integers and testing knowledge by asking true-false questions that involve a relatively high level of abstraction. A number of specific examples are included. (MNS)

The authors recommend introducing complex numbers by first studying the integers modulo seven. (SD)

Presents a methodology for teaching mathematical modeling skills to A-level students. Gives an example illustrating how mathematics teachers and design teachers can take joint perspective in devising learning opportunities that develop mathematical and design skills concurrently. (Contains 14 references.) (Author/ASK)

This article presents a short method for computation of the doubling period of a population at a fixed rate of annual increase. (Author)

The activity uses an area model to analyze probabilities associated with games of chance. Three activity sheets are included, with teaching suggestions. (MNS)

Shows how to model Newton's method for approximating roots on a spreadsheet. (MKR)

Two approaches to teaching number concepts and operations are discussed. Their relationships to the foundations of mathematics as well as to the characteristics of the learner are explored. On the basis of this discussion the implicit approach is advocated over the definitial approach. (SD)

The knowledge and mental processes called on in mathematics can be used to improve composition. Three desirable requirements of an analogy to be used in teaching writing are that it should bridge the art of writing and science, should be readily accessible to the mind of the average student, and should allow the student to employ an architectural…

An example of how geometry serves as a model in the real world is outlined, with suggestions on how it might be used at the high school level. (MNS)

Mathematical modeling is defined. Examples are used to show that there are models available which illustrate both the traditional use of mathematics in the physical science and its newer use in nonphysical disciplines, and which are at a suitable level for teaching in schools. (Author/MK)

Mathematical proofs often leave students unconvinced or without understanding of what has been proved, because they provide no visual-geometric representation. Presented are geometric models for the finite geometric series when r is a whole number, and the infinite geometric series when r is the reciprocal of a whole number. (MNS)