Uses a discovery lesson for determining the area of an equilateral triangle given a side length as an illustration of how to introduce features of the TI-92 graphing calculator geometry package within a mathematical context. (KHR)

Studies the developmental process of how the concepts of ratio and proportion do not develop in isolation, but rather are part of the individual's multiplicative conceptual field, which includes other concepts such as multiplication, division, and rational numbers. Follows one fifth-grade student as he attempts to schematize his…

Investigates students' understanding of the basic concepts of introductory set theory which are set, set element, cardinality, subset, and the empty set. Data was collected from preservice elementary school teachers. The project included experimentation with basic set concepts in an open computer-based environment using the mathematical computer…

Discusses the importance of relating mathematics to students' everyday lives. Describes a journal-writing project developed in a 5th grade total-inclusion classroom and specifies the major features of the writing project, including the framework used to assess student learning. (KHR)

Focuses on two types of symmetry, rotation and reflection, their underlying structure as a mathematical group, and their presence in the designs of diverse cultures. Illustrates patterns created by applying these symmetry operations that offer students a visual image which forms the axiomatic basis of algebra. (KHR)

Describes three teaching activities for secondary school mathematics classroom: designing a house; guessing the slope function in a calculus course; and solving the six problems of bisymmetric matrices. (YP)

Presented are four activities for grades K-eight focusing on the application of mathematics to real-world situations of spending money. The objectives, directions, extensions, and answers for each activity are described. Worksheets are provided. (YP)

Describes two easily applied mathematical theorems, Budan's rule and Rolle's theorem, that in addition to Descartes's rule of signs and intermediate-value theorem, are useful in chemical equilibrium. Provides examples that illustrate the use of all four theorems. Discusses limitations of the polynomial equation representation of chemical…

Explains a new way of viewing Bayes' formula. Discusses the revision factor and its interpretation. (YP)

Examines whether verbal problem-solving skills in a group of fourth graders would improve if they were specifically taught how to generate their own diagrams when solving word problems. Classifies textbook word problems into three general types and describes them: (1) tabular; (2) geometric; and (3) contingency diagraming. (YP)

Describes two simulations for practicing arithmetic skills: "Calculators," simulating the management of a store with a calculator, and "MECC 'Sell' Series," simulating profit-making with different levels of difficulty from grade two to eight. Provides hints for classroom use. (YP)

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

Provides a brief introduction with some definitions and properties of Fourier transforms. Shows relations, ways of understanding the mathematics, and applications. Notes proofs are not included but references are given. First of three part series. (MVL)

Notes that the rigorous kinetic theory, based on the Boltzmann equation, does not yield exact results although some texts claim this to be so. Stresses that they should be presented as approximations with an indication that refinements in the values are possible. (MVL)

Illustrates how teachers or students can use spreadsheets. Shows the layouts, formulas, and data of two cases: budget manager and data manager. Seven references are listed. (YP)