Reviews the general principles of the reforms addressed by the National Council of Teachers of Mathematics' Curriculum and Evaluation Standards and applies them to community college mathematics. Suggests that challenges to reforming mathematics curricula come primarily from teacher preparation and instruction methodologies and from student-related…

Connections between science and mathematics are emphasized in a series of activities related to the heart. Worksheets designed for multiple grade levels investigate (1) How Big Is Your Heart? (levels K-2); (2) Every Beat of Your Heart (levels 3-4); (3) What's the Beat? (level 5-6), and Heartifacts (level 7-8). Extensions of the activities are…

Fashion design is a field perceived as both a female and male domain that utilizes mathematics. Presents creative activities to teach the concept of symmetry as applied in fashion designs in the style of the famous French designer Madeleine Vionnet. (MDH)

Describes three activities using dominoes, playing cards, and the calendar to give students mathematical experiences reinforcing basic skills and problem-solving strategies that involve patterns, relationships, and functions. Students discover mathematical relationships underlying the magic tricks used in the activities. (MDH)

This article traces the history of zero and its dual role as a placeholder, albeit of empty space, and as a number for computational purposes. The use of one symbol for both situations is shown to be tied to the adoption, and subsequent promulgation, of our modern numbering system. (JJK)

Introduces the concept of maximum and minimum function values as turning points on the function's graphic representation and presents a method for finding these values without using calculus. The process of utilizing transformations to find the turning point of a quadratic function is extended to find the turning points of cubic functions. (MDH)

Describes background, focus, expectations, results, and comments concerning an undergraduate capstone course in the history of applied mathematics. Content area writing as a learning activity is recommended to promote an understanding of the history of the developments in mathematics which led to present day techniques, vocabulary, and…

Examines the effects of writing assignments on more than 250 undergraduate students' attitudes and on their classroom performance. The experimental writing group perceived both the subject matter and the course requirements more favorably, and also scored somewhat higher on average for the final examination, though not significantly higher than…

Presents contributions by six mathematics teachers responding to the question: "How has the history of mathematics mattered to me in my mathematics teaching?" Answers touch the topics of how and why, how benefits are accrued, use of original texts, integration into core curriculum courses, and pitfalls of history. (MDH)

Presents an attempt to combine the history of mathematics of ancient Greece with the course on theoretical geometry taught in Greek secondary schools. Three sections present the history of ancient Greek geometry, geometrical constructions using straightedges and compasses, and an application of Ptolemy's theorem in solving ancient astronomy…

Presents a student project that requires students to create a puzzle involving some form of manipulative and present it to the class with an advertisement. Uses writing to have students report on their progress. (MDH)

Presented is a series of eight hands-on exercises using Apple II computer graphics to investigate the following characteristics of periodic functions: period, amplitude, horizontal shift, and vertical shift. Detailed teacher instructions and the accompanying computer program are included. (MDH)

Examined are the three regular tessellations and derived semiregular tessellations whose regular polygons meet at common vertices. Included are BASIC computer program listings that explore the various combinations of regular polygons that can form regular or semiregular tessellations. (JJK)

Discusses a problem in which students are asked to determine a way of cutting the corners off different denominations of paper currency enabling visually impaired individuals to distinguish between the bills with the condition that further cuts will not increase the value of the bills. Reconstructs a solution from classroom experiences. (MDH)

Presents a series of solution methods to the Eight Queens Problem of placing eight queens on a chess board so that no one queen can capture another. Solution methods progress from empirical approaches to the use of computer algorithms. Geometric transformations are used to find other solutions. (MDH)