Advantages and disadvantages of the modern definition of function, understanding the concept of function, procedures used in a study of the understandings of ninth graders, and detailed results of the study are discussed. (MNS)

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.…

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…

This study explored student mathematical activity in open problem-solving situations, derived from the work of Polya on problem solving and Skemp on intelligent learning and teaching. Assignment projects with problems for ninth-grade students were developed, whether they elicit the desired cognitive and cogno-affective goals was investigated, and…

This study investigated the performance of 14 Hispanic and Anglo ninth graders on several problem-solving tasks, with the focus on the interplay of language-related factors in translating several mathematical statements expressing relationships among variables into mathematical equations. (MNS)

The mathematics learning objectives contained in this volume are congruent with the Texas "State Board of Education Rules for Curriculum" which outlines the rules Education Rules for Curriculum which outline the rules and procedures for implementation of Section 21.101 of the Texas Education Code. These objectives and the measurement…

Describes a pilot project incorporating extensive use of computers in mathematics instruction. Test scores and homework from this group were compared with a group that did not use computers. Results were inconclusive and only revealed a shortage of appropriate instructional software. (MJP)

The objectives of this study were to: (1) develop a working model based on Pierre van Hiele and Dina van Hiele-Geldof's five levels of thought development in geometry; (2) characterize the thinking in geometry of sixth (N=16) and ninth (N=16) graders in terms of these levels (examining at what level they are at, if they show potential for progress…

Asserts that students' opportunities to learn subjects can be organized into sequences that span grades and schools. Examines national patterns in opportunities for learning mathematics and science from grade 8 to grade 10. Finds that the level of mathematics in grade 8 is closely related to that taken in high school, but this is not true of…