Previous research has investigated the representational translation practices of high school students, high school teachers, and college preservice teachers in various mathematical contexts including linear functions. Findings from qualitative research has frequently led to new notions about participant work and understanding. Many quantitative…

This study determines whether web-based instruction (WBI) represents an improved method for helping preservice teachers learn procedural and conceptual knowledge of fractions.. The purpose was to compare the effectiveness of web-based instruction (WBI) with the traditional lecture in mathematics content and methods for the elementary school…

The authors provide a list of calculators which have a capacity for handling programs, and a list of programs for such calculators which are available at cost. They argue that the use of these materials at many levels of mathematics instruction enhances both motivation and understanding. (SD)

Describes an instructional method in secondary school mathematics applicable to physics instruction, to develop conceptual understanding of motion word problems. Distance, rate, and time are defined, used as variables and considered with relative motion as a unifying concept. (JM)

Describes the mathematics of cycloidal curves. Illustrates how a Spirograph can be used to produce them. Discusses some modifications and applications of the Spirograph. (YP)

Provides a discussion and an example of a problem which occurs in mathematical contests or entrance examinations and deals with the question of the magnitude of exponentials. Includes additional illustrative examples. (RT)

Describes properties of Fibonacci numbers, including the law of recurrence and relationship with the Golden Ratio. Discussed are some applications of the numbers to sewage of towns on a river bank, resistances in electric circuits, and leafy stems in botany. Lists four references. (YP)

A particular shot on a pool table is analyzed using the concept of similar triangles, to introduce the equivalence of the "incident-reflection" principle and the "minimum-distance" principle. (CR)

Suggestions for outdoor mathematics activities include six each for primary-age and intermediate-age children. (MK)

An excursion in applied mathematics is detailed in a lesson deemed well-suited for the high school student or undergraduate. The problem focuses on an experimental missile guidance system simulated in the laboratory. (MP)

Presented are three cases for intuitive understanding in secondary and college level geometry. Four ways to develop the intuition (physical experience, mutable manipulatives, visualization, and looking back) step are discussed. (YP)

Presents examples of word problems that can be used to illustrate the distributive property for preservice teachers. Includes examples involving extended sums, volume, area, prealgebra, place value, long multiplication, fractions, decimals, and algebra. (MDH)

A list of potential writing ideas and general guidelines to be used in integrating writing into the mathematics classroom are provided. Ideas under the headings of narrative, descriptive, and expository writing are included. (KR)

Reports a study to examine secondary school students' (n=200) responses to two figurally and spatially similar problems from mathematics and science that require different responses before and after instruction. Results indicated that most students gave the same response to both questions. Reasons for this pattern are discussed. (MDH)