Mathematical models that are used to solve facility location problems are presented. All involve minimizing some distance function. (MNS)

Encourages students to use reasoning and quantitative problem-solving skills to discover the solution to an important practical problem related to absolute-value function and statistical median. (ASK)

The mental activities involving functions were studied with 60 children aged 4-15. Search strategies used for solving a problem reveal different stages toward the discovery of the monotonic property, which correspond to stages of proportional reasoning found by Piaget. Dependence between stage and age is confirmed. (Author/MNS)

A way to schedule tournament tennis matches so time-use is improved is presented. The mathematical application of a linear function is described in some detail. (MNS)

Presents activities related to some obscure tests for divisibility, which teachers may wish to develop as illustrative examples in the classroom, or as extension activities for groups of students. Begins with an exploration of divisibility by three, then discusses application of the technique to other numbers, and for numbers written in other…

In order to help students more effectively, it is necessary to know how students use and perceive mathematics in out-of-school settings. Discusses some mathematical concepts and processes--such as the concept of function and the process of estimating--which provide evidence of students' mathematical ideas. (ASK)

Analyzes student construction of function-based problem solving methods in introductory algebra. Describes longitudinal observation of a pair of students that studied algebra for three years using the function approach including intensive use of graphing technology. Offers terms for describing and explaining what and how do learners appreciate and…

Presents a problem included on the 1992 National Assessment of Educational Progress in mathematics at grade eight in the content area of algebra and functions. Collects and examines a set of responses to this problem and discusses some examples of strategies that students used to determine the answer to the problem. (ASK)

Discussed is an approach in which algebra and geometry are interwoven in a series of problems that develop one from another. The two main concepts are the algebraic concept of function and the geometric concept of the "family of quadrilaterals." (MNS)

This study, written in French, presents the hierarchy of strategies used by children in solving multiplication and division problems, as they acquire the linear function concept. It is based on analysis of the different classes of problems, of specific tasks, and of strategies actually used in solutions. (MP)

Shows how attention to transcending functions provides a new integrative approach to mathematics that can improve the critical thinking and problem-solving skills required for addressing large-scale problems. Contains 38 references. (DDR)

Uses the notion of focusing phenomena to explain how a teacher's actions were connected to her students' interpretations of a linear equation. Conducts interviews and analyzes a high-school classroom that emphasized dependency relationships in real-world situations. Describes how the teacher directed attention away from functional relationships…

Uses a variation of Hansen's surveyor problem to illustrate how exploring students' assumptions can lead to interesting mathematical insights. Describes methods that utilize self-stick notes and overhead transparencies to adapt computer software to specific classroom needs. (MDH)

An application of functions and their inverses is described--the coding and decoding of messages, or cryptographs. The helpfulness of computers is noted, with two programs listed. (MNS)

Answers and justifications for an interesting problem on the Advanced Placement Calculus AB Examination are discussed. The problem provides diverse ways in which students can gain appreciation and understanding for the subject. (MNS)