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

Algorithms to determine the optimal locations of emergency service centers in a given city are presented, with theorems and proofs. (MNS)

This article (the 1971 Presidential Address to the Mathematical Association of U. K.) makes a plea that college teachers of mathematics should be better aware of the applications of mathematics in other subjects. As an example, the author describes the use of differential equations to solve certain vibrational problems in mechanical engineering.…

Examines whether the embodiment of a familiar geometric system facilitates better understanding of the vector-space concept than the embodiment of a variety of unfamiliar algebraic systems. Analyzes students' responses with description, final answer, and justification of answers. Provides six problems. (YP)

Presents a mathematics problem on patterns. Outlines and discusses the general problem-solving procedures. (ASK)

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)

Presents an ancient method for solving quadratic equations from Jiuzhang Suanshu (Nine Chapters on the Mathematical Art). Includes several examples and exercises. (MM)

The purpose of this study is to find out if meaningful educational activities and the use of a manipulative in those activities might have an impact on student achievement. Using manipulative as cognitive tools should improve the teaching and learning process, and encourage student reflections on retaining the information. It has been claimed that…

This study reviews 208 articles on early childhood mathematics education sourced from the ERIC database and published between 2000 and 2005 in order to determine the adequacy of the literature. The document analysis identified a heavy emphasis on (1) mathematical concepts and instruction, and (2) articles addressing the school years compared with…

The purpose of this research was to determine the pre-service primary mathematics teachers' competency of pedagogical content knowledge in mathematics. The data were collected by means of four open ended problems from the participation of 45 primary mathematics teacher candidates. Teacher candidates' responses were analyzed based on pre-determined…

This paper gives results of a review of 41 high school, junior high school, and college algebra and mathematics textbooks. The review focuses on two facets of the curriculum: (1) the presentation of the concept of variable; and (2) word problems and the presentation of problem solving skills. With regard to the variable concept it was concluded…

Discusses some of the aspects of problem solving that teachers can observe for assessment purposes in a student's practical and written work. Suggests that these observations can be incorporated into a student's assessment traditionally or using alternative assessment devices. (PK)

Presented are several consequences of Ceva's theorem which deal with ratios of segments formed when a parallel to one of the sides is drawn through the point of concurrency. The proofs of these theorems are included and are of varying degrees of difficulty. (KR)

The first volume of the 31st annual proceedings of the International Group for the Psychology of Mathematics Education conference presents plenary lectures; research forums; discussion groups; working sessions; short oral communications; and posters from the meeting. Plenary lecture papers include: (1) On Humanistic Mathematics Education: A…

This paper evaluates the effectiveness of a student controlled computer program for high school mathematics based on instruction principles derived from Schoenfeld's theory of problem solving. The computer program allows students to choose problems and to make use of hints during different episodes of solving problems. Crucial episodes are:…