Two studies investigated the effects of three instructional methods on lower and higher cognitive processes of sixth- and ninth-grade students. Results are discussed. (Author/MT)

A new program of instruction for freshmen high school students in general mathematics classes is described. (MP)

Assignment projects for high-achieving ninth graders were developed, and a comparative evaluation study indicated that they were effective. It bacame clear that teachers needed more practical support, so a diagnostic study was undertaken, leading to the establishment of a link between a categorization of student difficulties and a hierarchy of…

Schematic knowledge was assessed by asking 195 ninth and tenth graders to classify area-of-rectangle problems in terms of whether the text provided insufficient, sufficient, or irrelevant information for solution. The hierarchical ordering of templates for the area of a rectangle is demonstrated, and implications for mathematics instruction are…

This evaluation report is a description of an integrated bilingual-bicultural program which attempted to improve student achievement in oral and literate mastery of both Spanish and English. The program was funded under the Elementary Secondary Education Act, Title VII and was in its third year of operation in New York City. Two hundred ninth and…

A model of qualities of mathematical activity was developed within a framework of learning goals. A clinical application of the model is described, in which ninth-grade students were given assignment projects. A hierarchy of effective guidance was established, permitting diagnostic evaluation and progressive development of mathematical activity.…

Responses from about 500 average ability students at the end of ninth grade to an algebra assignment are reported and discussed. (MNS)

Pupils from grades eight and nine were given problems, mostly referring to the idea of infinity. Scales measuring the level of confidence and degree of obviousness of answers were developed. (MP)

This article describes an investigation making connections between the time on an analog clock and the angle between the minute hand and the hour hand. It was posed by a middle school mathematics teacher. (Contains 8 tables and 6 figures.)

Mastery Learning and Student Team Learning are two widely used instructional methods designed to confront the problem of student diversity in group-paced instruction. This study evaluated Mastery Learning, Student Team Learning, and a combination, in 43 inner-city math nine classes over a full school year. Results indicated greater achievement on…

Algebra I and General Mathematics courses using tutorial instructional programs under computer control supplemented by "off-line" materials (included in the computer controlled testing) have been developed for a ninth grade student population. This summary report (preliminary reports are EM 011 046 and EM 011 050, and the teacher's manual is EM…

An experimental program in which regular General Mathematics 9, 10, and 11 courses were supplemented by instruction in business machines was evaluated. Results of the Test of Mathematical Fundamentals and the Mathematics Test Supplement (see sample, Appendix A) showed no significant superiority in achievement for students in the experimental group…

The strengths and weaknesses of using ethnographic research to investigate equity in a study of a grade 9 class that used a dynamic geometry program with laptop computers will be presented. It will be argued that research approaches that involve "windows on practice" provide understanding of not only who is advantaged and disadvantaged in…

Discusses effectiveness of hints given to (n=100) ninth-grade students solving nonstandard problems on functions. Hints that stimulated concrete action were effective if the action modeled the required solution method. Hints that only warned against certain mistakes were ineffective. Appendix includes problems and hints. (MKR/Author)

This study compares and contrasts the following variables on the types of attributions (ability, effort, environment, and task) students make for their performance in algebra: attributions by gender and gender identification; attributions by level of math anxiety and self esteem; attributions by experience in competitive activities; and…