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 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 purpose of this study was to identify factors responsible for the perceived decline in attitudes toward science observed in an intervention study designed to enhance scientific literacy. The literacy study focuses on a new freshman course in an urban Catholic high school. Negative attitudes toward science were found to be related to the demand…

This paper illustrates the use of rule space as a tool to support cognitive analyses of students' mathematical behavior. The rule space approach is explained and is then used to classify students into one of two methods for solving linear algebraic equations in one unknown and to diagnose their knowledge states in this topic. A 32-item test with…

Learning objectives and specifications are provided for use by teachers and test development specialists. Beginning with the 1985-86 school year, the Texas Educational Assessment of Minimum Skills (TEAMS) tests have been based on the objectives in this publication. For grade 9 mathematics, these objectives are: (1) identify the relationship among…

This research compared the performance of ninth grade females and males on flight protocol, with particular attention to interpretation of the graphs of paths of falling bodies, rolling objects, and projectiles. These subjects were chosen because they had received no formal instruction in projectile motion, yet through typical life experience, had…

Information on the content of the intended science curriculum, what science was actually taught by the teachers, and how that science was taught is presented. Student achievement and attitudes were assessed using tests and questionnaires. Data were obtained from teachers regarding whether the content had been taught to the students (n=657) who…