Intended to be used in conjunction with a traditional curriculum, this book demonstrates the use of the computer, especially the on-line, interactive type of computer, to solve a variety of problems studied in secondary school mathematics. Each chapter presents several problems, and each problem introduces one or two concepts that must be…

This study compared the mean scores of the final examinations given to 2 populations of junior college students taking College Algebra by 2 instructional methods. The control group received instruction by the traditional approach of lectures and classroom discussion; while the experimental group had their lectures and discussions supplemented by…

This guide outlines the curriculum for a ninth-year mathematics course for students not prepared to cope with the usual first-year algebra course. It is intended to provide personal relevance for these students by including supplementary units on probability and statistics, slide rule use, flow charting and use of calculators, consumer…

The ten chapters in this booklet cover topics not ordinarily discussed in the classroom: Fibonacci sequences, projective geometry, groups, infinity and transfinite numbers, Pascal's Triangle, topology, experiments with natural numbers, non-Euclidean geometries, Boolean algebras, and the imaginary and the infinite in geometry. Each chapter is…

This teaching guide outlines a college algebra course for use in the secondary school. Units studied are: mathematical induction, functions, groups and fields, linear algebra, and limits. Special emphasis is given to the study of functions and linear algebra. Sequence, textbook references and assignments, and time allotments are suggested. Some…

An audio-tutorial learning system for college students studying intermediate algebra was developed by a member of the mathematics staff and was directed by student assistants. An analysis of covariance design was used to determine if students receiving help from student assistants did significantly better than those not receiving help. Results…

There are two sections to this document: (1) a concept catalog which provides a simple descriptor (a single word or phrase) and number code for each student error identified in the answer matrices for the study guide, pretest, and posttest; and (2) a list of measurable behavioral objectives which give detailed and specific statements of the…

Author asks how much longer education can continue to place so much interest, value and faith in letter grades when he, along with other educational researchers, has shown the minimal relationship between aptitude scores and grades. (Author/RK)

The results of this field experiment support the conjecture that when learning tasks involve the development of a mathematical structure, guided-discovery techniques involving dialectical dialogue may be a more viable alternative to conventional instruction than individualized instruction through expository or programmed packages. (MN)

Shows how, with little or no electrical background, students can apply Boolean algebra concepts to design and build integrated electrical circuits in the classroom that will reinforce important ideas in mathematics. (PK)

Examines several uses of the word cancel and suggests alternative terminology. In particular, arithmetic and algebraic examples are used to illustrate problems associated with the term cancel. (PK)

Defines and supports investigative mathematics for schools. Presents several results of an investigation of Fermat's Last Theorem. (PK)

Brief articles concern solving a polynomial equation of degree greater than two, an approach for teaching an ambiguous case in trigonometry, and built-in functions on calculators and computers. Two computer programs are listed. (MNS)

An experimental program in New York City to improve the rate of success in first-year algebra is described. Students, teachers, techniques used, and Regents Examination results in the double-period class are described. (MNS)

A method is described for representing quadratic functions by three-dimensional wire models. This enables one to form a simple geometric concept of the location of imaginary zeros. (MNS)