The results of one of the earliest studies in a series of investigations on teachers' selection of content for mathematics instruction suggested that teachers are responsive to content messages that are communicated through textbooks and standardizes tests. The content analyses that are summarized in this report were therefore undertaken in an…

This guide provides material for teaching problems with rate and ratio calculations. There has been a traditional and worsening shortfall of student performance on rate and ratio problems which do not apply to other components of the mathematics program. The major problems found with traditional curriculum approaches are: (1) rate and ratio…

It is argued that course content should be specified as explicitly as possible in terms of what is expected of the student in the future. Four levels of details are addressed: (1) customary course objectives; (2) behavioral questions; (3) behavioral objectives; and (4) exams. The report described the Statistical Test Item Collection System…

This document views mathematics instruction as an area that was developed to deal with experiences of the real world, and that needs to change in response to the realities of today's world. To insure the continued teaching of significant ideas and skills, certain traditional topics must be deleted from the curriculum and new ones added. Teaching…

This document examines specifically relevant issues and offers useful guidance in making decisions for elementary and secondary school mathematics education in the 1980's. The expertise of 19 authors is reflected in 14 chapters that provide an overview of mathematics today and recommendations for the future. The individual chapters are titled: (1)…

The results from the longitudinal evaluation of over 2000 low income students involved in the Direct Instruction Follow Through Project between kindergarten and third grade are reviewed. Of the ten major education approaches evaluated, students in the Direct Instruction model performed highest in all areas of Math: (1) Computations (66%…

This guide was developed to give Kansas mathematics teachers from grades K-12 minimal sequential experiences in implementing the skills, values, and concepts of the mathematics program, and to provide a basic outline for developing a local program. All teachers are encouraged to make a real effort to see that their activities fit into the overall…

Presented is a collection of reports on the status of competency-based mathematical education in the schools of 25 countries, and is the culmination of five years' work by the International Study Group on Minimal Competencies in Mathematics. Most reports summarize the trends and prevailing opinions about curricular implications of emphasis on…

Students in grades four and eight were given parallel forms of mathematics subtests of Iowa Tests of Basic Skills, once using calculators and once without. Performance with calculators was compared to performance on regular administration of subtests. In both grades, mean scores on problem solving and computation subtests were significantly higher…

This publication is the teachers' manual, level 8, of the Instructional Support Systems (ISS) Program, which was developed by the Community School District 18 of New York. It presents seven topics: (1) fractions; (2) decimals; (3) integers; (4) geometry; (5) measurement; (6) algebraic concepts; and (7) graphs, probability, and statistics. Each…

This paper, presented at the 1979 meeting of the American Educational Research Association (AERA), focuses on curricular interventions which have been used by the University of Minnesota to reduce mathematics anxiety among adults. It summarizes four approaches for dealing with the problem and describes the model used by the Math Anxiety Program of…

Fourteen research reports related to mathematics education are abstracted and analyzed. Two of the reports deal with teacher education, two with problem solving, three with basic operations, and one each with learning disabled students, rational numbers, proportional reasoning, counting, teacher effectiveness, group cooperation on mathematical…

This is the teacher's edition of a text for the second year of a two-year high school geometry course. The course bases plane and solid geometry and trigonometry on the fact that the translations of a Euclidean space constitute a vector space which has an inner product. Congruence is a geometric topic reserved for Volume 2. Volume 2 opens with an…

This set of five reports and one manual is a product of the Mathemagenic Activities Program (MAP) for early childhood education of the University of Georgia Follow Through Program. Based on Piagetian theory, the MAP provides sequentially structured sets of curriculum materials and processes that are designed to continually challenge children in…

These are some of the individual materials needed by students using the Comprehensive School Mathematics Program for the Upper Primary Grades, Part IV. The book of "Worksheets" contains materials that are labeled with the same letter and number as the lessons with which they are to be used. The four "Galaxy of Problems"…