This curriculum guide is an adaptation for students who need to proceed more slowly with new concepts and who also require additional reinforcement. The materials have been designed to assist the teacher in developing plans to be utilized in a variety of classroom settings. The guide can be used to develop both individual and group lessons. In…

This curriculum guide lists mathematics topics and concepts, learning outcomes, and sample learning objectives (in three columns) for these secondary school mathematics courses in Alaska: (1) general mathematics; (2) consumer mathematics; (3) pre-algebra; (4) algebra I; (5) algebra II; (6) geometry; (7) trigonometry; (8) precalculus; and (9)…

The purpose of this study was to conduct formative and summative evaluation for Computer Integrated Instruction (CII), an alternative use of computer-assisted instruction (CAI). The non-equivalent control group, pretest-posttest design was implemented with the class as the unit of analysis. Several of the instruments were adopted from existing CAI…

Algebra is a skill, according to this author, and as such, is best learned through repeated practice over an extended period of time. Unlike texts which treat a topic in some detail before moving to the next, Saxon's 126 lessons break a concept down into small units so that each may be practiced thoroughly before the next part of the same concept…

This report includes a general overview of the literature on computer use at the two-year college level and in specific academic disciplines, and a description of the development of a computer assisted instruction (CAI) program in linear algebra. The literature review was based on articles from journals, Dissertation Abstracts International, a…

Pilot research using a draft version of the Mathematics Inventory is discussed in this report. The Mathematics Inventory is a self evaluation instrument which covers five major subject areas: elementary algebra, intermediate/advanced algebra, plane and solid geometry, trigonometry, and coordinate geometry and functions. The instrument is…

This text was written for junior high school teachers who wish to have more mathematical background on number systems. It is particularly useful for teachers who teach SMSG materials at grades 7 and 8. Chapters included are: (1) Introduction; (2) Numeration; (3) The Whole Numbers; (4) Divisibility and Properties of Whole Numbers; (5) The…

Twenty-eight reports, articles, and papers published in 1973 which concern mathematics education in the community junior college are reviewed. Much of this literature was found in "The Two-Year College Mathematics Journal,""The American Mathematical Monthly," or among Educational Resources Information Center (ERIC) reports. The references are…

Subjects were randomly assigned to two methods of instruction for a unit on quadratic inequalities. It was expected that spatial visualization scores would predict transfer from the analytic approach while general reasoning would predict transfer from the graphical approach. No interaction was found. (Author/SD)

This document is designed to aid students who wish to comprehend the algebraic problem-solving process for mixture problems. The instruction set was designed to be low stress, patiently delivered, and easy to follow. It was set up to be accompanied by a 25-minute audio cassette tape. The content of this document and the tape is directed to the…

This study guide is part of an interdisciplinary course entitled the Science and Engineering Technician (SET) Curriculum. The course integrates elements from the disciplines of chemistry, physics, mathematics, mechanical technology, and electronic technology, with the objective of training technicians in the use of electronic instruments and their…

The development of a theory of algebraic problem solving is discussed. The domain of the investigation is restricted to single sentence word problems. There were three experiments, the first involving 42 college students from the University of California, Santa Barbara. These subjects were divided into two groups, half in an equation group and…

In all latent trait models there is an equation which describes the probabilistic outcome of the interaction of a person with a known ability and an item with a known difficulty. This modeled outcome can be compared to the observed outcome, and the residuals can be summed over the items to assess the fit of the person to the model. Various…

The message of this article is that there are many types of problems ordinarily requiring advanced techniques or special insight to solve which can now be done as simple programming exercises on inexpensive programmable calculators. Several examples appropriate for the secondary school curriculum are given. These are: (1) evaluating polynomials;…

The investigation reported is primarily a description of how college students solve or fail to solve algebra equations. Protocols were collected from two groups of college students; one group was expected to be good solvers, the other group contained many poor solvers. The investigators sought to identify and classify the difficulties students…