Four periods of history are reviewed in an effort to build an informative background on the evolution of mathematics as a serious study in the schools. These four periods are (1) 300 B.C., (2) the second quarter of the 17th century, (3) the second quarter of the 19th century, and (4) the four decades of the 20th century from 1925 to 1965. (RP)

A method used in teaching abstract algebra is described; it could be applied to other classes. Students play a more active part in their own education by helping to select, prepare, and present material to the class. (MNS)

Facts are given about the ninth-century Arab mathematician Al-Khwarizmi, from whose name the word algorithm is derived. His influence on algebra and arithmetic are discussed. (MNS)

A chronology of activities which have led to the design of a comprehensive mathematics algebra program is described. (Author/MK)

A method for finding the complex roots of a graph is detailed. A conjecture is made regarding the nature of zero points of fourth-degree polynomial functions, but it is not proven in general. Mathematical induction is viewed as a promising tool to prove the conjecture that turned out unproductive. (MP)

This investigation concerns student understanding of the concept of gradient. Six items are discussed from a series of tests constructed for Technical Education Council (TEC) qualification. It is concluded that confusion exists, and a summary of apparent student difficulties is presented. (MP)

A "lab method" for solving quadratic equations is presented. Suggestions for applying the method in the classroom are given. (MK)

Examines the main mathematical approaches to information retrieval, including both algebraic and probabilistic models, and describes difficulties which impede formalization of information retrieval processes. A number of developments are covered where new theoretical understandings have directly led to improved retrieval techniques and operations.…

Data suggests low-level college algebra students profit more from student pacing in a Personalized System of Instruction course and more advanced algebra students benefit from the extra pressure of instructor pacing. (MP)

Topics covered are: a game to provide drill with linear equations; the relationship between area and perimeter in a triangle; a new form for factoring polynomials; and a technique for graphing inverse functions. (MP)

A number of traditional topics covered in school mathematics are examined, their origins discussed, and justifications sought for teaching them today. (MP)

The simultaneous solution of equations in polar form does not always yield the points of intersection of their graphs. An explanation is given. (MP)