This teacher guide is part of the materials prepared for an individualized program for ninth-grade algebra and basic mathematics students. Materials written for the program are to be used with audiovisual lessons recorded on tape cassettes. For an evaluation of the program, see ED 086 545. In this guide, the teacher is provided with objectives for…

This paper reports the results of a ten-week study investigating the use of electronic calculators to perform basic operations with rational numbers in ninth-grade mathematics classes. In all, six classes and 101 students were involved. A short literature review is given and three treatments are described. Dependent variables were five mastery…

A model and a computer program for performing conjoint measurement is developed. (AG)

This paper describes the method used by Tracz and Burtnyk for the estimation of future salary schedules in the Ontario secondary school system. The application of the algorithm to the Ontario secondary school system predicts a possible breakdown in the fixed step salary schedule at about 1980. This situation results primarily because of the…

This paper distinguishes several ways in which phonemic information might be employed in spelling; examines some empirical data on the consequences of using these information sources; formulates hypotheses about the underlying processes involved; and suggests possible implications for the teaching (and learning) of spelling. Included are tables of…

Research on error patterns associated with whole number computation is reviewed. Details of the results of some of the individual studies cited are given in the appendices. In Appendix A, 33 addition errors, 27 subtraction errors, 41 multiplication errors, and 41 division errors are identified, and the frequency of these errors made by 352…

Two questions were investigated in this study: (1) How did the computational proficiency of sixth graders who had one year's experience with Developing Mathematical Processes (DMP) materials compare with an equivalent group of students who used the usual textbook program; and (2) What occurs when sixth graders study algorithms as sequences of rule…

The first section of this course on programming introduces LISP as a programming language designed to do symbol manipulation, with consequent prevalence in auto-instructional (AI) work. A programming language specifies in its description a number of primitive operations which the computer knows how to perform. An algorithm is the set of…

Defines all recurrence relations used in the Nuffield course, to solve first- and second-order differential equations, and describes a typical algorithm for computer generation of solutions. (Author/GA)

The observations of a fifth-grade student concerning number patterns are recorded and discussed. (SD)

The author presents two examples of lattice multiplication followed by a computer algorithm to perform this multiplication. The algorithm is given in psuedocode but could easily be given in Pascal. (PK)

The Fibonacci Sequence describes a vast array of phenomena from nature. Computer scientists have discovered and used many algorithms which can be classified as applications of Fibonacci's sequence. In this article, several of these applications are considered. (PK)

Describes activities in a mathematics class for six-year-olds. The article makes several points, including: working independently is very absorbing; investigative work is as important as algorithms; and children working in groups can achieve more than even the brightest child working alone. (PK)

The author advocates a return to "traditional" elementary algebra content. Several roles for algebra manipulation are identified, including making arithmetic more interesting and understandable and providing facility indispensable for both the technician and the mathematician. (PK)

New theory and practice in testing is replacing the standard test by the test item bank and classical test theory by item response theory. Eight papers and a commentary are presented in this special issue concerning test item banking. (SLD)