Investigated effects of computer assisted instruction (CAI) on learning efficiency, defined as either higher passing percentage or less time on task. Subjects (N=24) were college mathematics students who either were lectured or had a CAI tutorial on the lowest common denominator. The CAI group took less time, but solved more problems incorrectly.…

Shows how a simple spreadsheet program can be used to teach calculus concepts more effectively through simultaneous use of review questions and instructions, actual manipulation of data and formulas, and visual illustration of results. Concepts illustrated include the difference quotient and derivation of a function; difference and differential;…

A method of teaching introductory statistics using student-selected project topics is described. Several activities are noted, with a model for student research projects. (MNS)

The author's adaptation of a mastery learning program to a Beginning Algebra course is described. Test score averages clearly increased. (MNS)

Considered are what discrete mathematics includes, some parallels and differences between new math and discrete mathematics (listed in a table), and lessons to be learned. A list of references is included. (MNS)

The focus is on how line graphs can be used to approximate solutions to rate problems and to suggest equations that offer exact algebraic solutions to the problem. Four problems requiring progressively greater graphing sophistication are presented plus four exercises. (MNS)

Ralston proposes that the decrease in the importance of calculus in the world of mathematics is accelerating and the world of applied mathematics is changing rapidly. He briefly presents arguments for discrete mathematics. Then follow reactions from McLane, Wagner, Hilton, Woodriff, Kleitman, and Lax, and a response by Ralston. (MNS)

Illustrated is how students can be directed to move from a geometric to an algebraic mode of thought and back again in linear algebra, thereby deepening their understanding. Rotations and line reflections in the plane are used as the example. (MNS)

A method for finding logarithms is outlined. Four-function calculators are used to simplify the computation for those who enjoy experimenting with numbers. (MNS)

A procedure for helping students to calculate logarithms with any calculator that has a square root function is outlined. (MNS)

Representation of integers in various bases is explored, with a proof. (MNS)

The theorem is seen as the foundation for large-sample statistical inferences, and is usually difficult for students to understand because one expects to take only one sample from a population. A description of how a table of random numbers readily available to students could be used is provided. (MP)

The evolution of Archimedes' method is traced from its geometrical beginning as a means to approximate pi to its modern version as an analytical technique for evaluating inverse circular and hyperbolic functions. It is felt the web of old and new algorithms provides considerable instructional material, and ideas are offered. (MP)

A procedure using calculators is described to test Ulam's conjecture that all positive integers converge to 1, if subject to certain iterated transformations. (MNS)

A community college mathematics course is discussed in terms of type of student, content and goals. Particular attention is given to the role of the calculator in community college remedial mathematics courses. (MK)