This study investigated questions asked during tutoring by 27 college students about research methods and by 13 seventh graders about algebra. Student achievement was positively correlated with the quality of questions after students had some experience and training in tutoring, but the frequency of questions was not. (SLD)

Describes the duties and attitudes of graduate teaching assistants who participated in a mentoring program, as well as the assessment of this program, which was instituted as a supervisory alternative to the lecture/recitation program through which graduate teaching assistants have traditionally accumulated the accreditation requirement to teach…

The high levels of anxiety, apprehension, and apathy of students in college algebra courses caused the instructor to create and test a variety of math teaching techniques designed to boost student confidence and enthusiasm in the subject. Overall, this proposal covers several different techniques, which have been evaluated by both students and the…

This paper investigates the effects of a computer algebra system (DERIVE) on students' comprehension and computational skills in Brief Calculus, a first course for non-mathematics majors. Research results indicate better conceptual understanding by the group using DERIVE without the loss of pen-and-paper computational ability. (KHR)

Describes observations, written samples, and interviews of (n=24) high school teachers learning concepts of group, subgroup, coset, normality, and quotient group in an Abstract Algebra course. General observations are made about the role of errors and misconceptions in light of an action-process-schema framework. (32 references) (MKR)

Describes the extended general physics course taught at Rutgers University. The course presents to students at the high school algebra level the topic of analyzing a particular thought experiment that yields the time dilation formula and subsequently space contraction, velocity addition, and other 20th-century physics concepts. (MVL)

Among 148 college students taking a self-adapted computerized test of basic algebra skills, higher self-confidence and lower test anxiety were related to choosing more difficult first items but were not related to later choices. Overall, examinees chose items of moderate difficulty relative to their ability level. (SV)

Maintains that a proper understanding of the Augustin Cournot model of imperfect competition and strategic interactions among firms in various contexts is essential for economics education. Although most models rely on complicated algebra, this one requires nothing more than high school level geometry. Includes a graphical analysis. (MJP)

Discusses group problem solving processes, how status can harm group problem solving, and how the politeness of students' criticisms reflects status. Reports on analyses of the determinants of group solutions, perceived leadership, and biased evaluations during collaborative problem solving in which students attempted to solve an algebra problem.…

Discusses an old technique going back to Euler for accelerating the convergence of an alternating series. Uses a computer algebra system such as Derive, Maple, or Mathematica to implement this method called Eulerization. Argues that investigations using this technique will improve a student's understanding of infinite series. (ASK)

The factor structure of three commonly used measures of mathematics anxiety was examined using a sample of 323 undergraduates in an algebra class. Six oblique factors were identified, but results did not support the existence of a single common dimension of mathematics anxiety as represented by the six factors. (SLD)

Reviews tasks and techniques to help students develop an appropriate instrumental genesis for algebra and functions to prepare for calculus. Focuses on the potential of the calculator to connect enactive representations and theoretical calculus. Discusses strategies to help students experiment with symbolic concepts in calculus. (Contains 32…

A way for students to refresh and use their knowledge in both mathematics and physics is presented. By the study of the properties of the "Runge-Lenz" vector the subjects of algebra, analytical geometry, calculus, classical mechanics, differential equations, matrices, quantum mechanics, trigonometry, and vector analysis can be reviewed. (KR)

Discusses findings regarding the academic backgrounds of students taking algebra-based physics. Four areas were examined: (1) performance in math courses; (2) high school physics background; (3) community or junior college experience; and (4) science education majors. Suggestions for improving the academic performance for students in these areas…

Reviewed are two computer software packages for Macintosh microcomputers including "Phase Portraits," an exploratory graphics tool for studying first-order planar systems; and "MacMath," a set of programs for exploring differential equations, linear algebra, and other mathematical topics. Features, ease of use, cost, availability, and hardware…