Presents historical development on the construction of magic squares. Techniques presented for construction of even-numbered magic squares, and in particular the four-by-four magic square. (RP)

A system of organizational analysis which focuses on leadership, followership, and the job to be done, utilizing an objective scale of effectiveness. Actual situations are plotted on the scale, which simplifies analysis of problems. (JB)

Based on a thesis submitted to the Graduate School of Purdue University by the first author. (Author)

A programing contest was designed to promote interest in mathematical randomness. Student-developed programs making clever uses of random numbers are presented. Modifications users might make are suggested. (MNS)

A series of lessons in which the concept of symmetry is informally developed is described. Rotational and reflection symmetries are examined. Pictures and sample worksheets illustrate the article. (SD)

What is number sense, why it is important, how it is taught, and how it is measured are each discussed. Examples with concrete materials, calculators, and pattern recognition are included. (MNS)

Mathematical proofs often leave students unconvinced or without understanding of what has been proved, because they provide no visual-geometric representation. Presented are geometric models for the finite geometric series when r is a whole number, and the infinite geometric series when r is the reciprocal of a whole number. (MNS)

Briefly presented are suggestions on using exercises in number patterns in second-year algebra and factoring quadratics in a 10th-grade enrichment class. (MNS)

Mathematical concepts occur spontaneously from many topics and can be developed in the framework of cross-curricular schoolwork. Consequently, students can gain knowledge of where mathematics arises and insight about its purposes. (Included are activities dealing with the reflectional and rotational symmetries of automobile hubcaps evolved from…

Presents an interview with Jeff Hawkins, creator of the Palm Pilot technology. Hawkins discusses his interest in neurobiology and how it has shaped and will shape the technology he designs. (WRM)

Presents an activity that introduces the historical developments in science that led to the discovery of the periodic table and lets students experience scientific discovery firsthand. Enables students to learn about patterns among the elements and experience how scientists analyze data to discover patterns and build models. (JRH)

Pattern recognition is a critical component of success in mathematics. Students at all levels should be provided with opportunities to investigate and uncover patterns throughout their mathematical careers. Further, they should be allowed to explore situations in which pattern recognition plays a vital role in the construction of important…