The Effects on Student Achievement and Attitudes of Incorporating a Computer Algebra System Into a Remedial College Mathematics Course


Book Description

Abstract: The current study examined the effects of using a computer algebra system (CAS) and graphing utility on the achievement and attitudes of students in remedial college mathematics. The participants were enrolled in night sections of a basic algebra course and were identified for remedial work by a placement examination. Students came from various mathematical backgrounds, but all had experienced a cycle of mathematical failure that needed to be broken.
















An Analysis and Comparison of the Effects of Computer-assisted Instruction Versus Traditional Lecture Instruction on Student Attitudes and Achievement in a College Remedial Mathematics Course


Book Description

Remedial mathematics courses are often taught at post-secondary institutions in response to the substantial number of students entering college who lack the skills and motivation necessary to be successful in college level mathematics courses. Much of the research on remedial mathematics instruction shows that it has been only moderately successful in improving the students' achievement in mathematics or their attitudes towards mathematics (Adelman, 1995; Burley, 1994; Wieschenberg, 1994). The purpose of this study was to compare the effectiveness of web-based computer-assisted instruction (CAI) and traditional lecture-based instruction in a college remedial mathematics course. The remedial mathematics course was taught to two groups of college students, which included a treatment group that received CAI, and a control group that received traditional lecture instruction without the use of computers. The ALEKS (Assessment and Learning in Knowledge Spaces) web-based software program, was used in conjunction with lecture-based instruction for the treatment group. Mathematics achievement and student attitudes towards mathematics were assessed by means of pre- and post-tests administered at the beginning of the semester and again at the end of the semester. Student withdrawal rates and passing rates for the course were also compared for the two groups. The statistical analysis of the data compiled in this study included the use of paired and independent group t-tests, analysis of covariance, and z-tests. The paired t-test results showed that there were statistically significant achievement gains within the treatment and control groups as a result of the instruction that each group received. However the independent t-tests and the Analysis of Covariance (ANCOVA) revealed that there was no statistically significant difference in achievement gains between the two groups when the study ended. The paired t-test results on the attitude assessment showed no statistically significant difference within each group after the study was completed. In addition, the independent t-tests and the ANCOVA results showed no significant change in attitudes between the two groups when the experiment had been completed. The z-test analyses also showed no significant difference in the withdrawal or passing rates between the treatment and control groups.







A Study of the Effects of a Computer Algebra System on the Learning Of, and Attitudes Towards, Mathematics Amongst Engineering Students in Papua New Guinea


Book Description

This study investigated the integration of Derive, a computer algebra system, into an existing Foundation Year Engineering mathematics programme. The subjects of the study were 186 students at the Papua New Guinea University of Technology in Lae. The computer algebra system was used as a pedagogical tool, primarily in the role of reinforcing the learning taking place. The study set out to determine the effect that Derive had in aiding students to improve their achievement in mathematics, as well as their attitudes towards mathematics.




The Effects of Computer Algebra Systems on Students' Achievement in Mathematics


Book Description

This meta-analysis sought to investigate the overall effectiveness of computer algebra systems (CAS) instruction, in comparison to non-CAS instruction, on students achievement in mathematics at pre-college and post-secondary institutions. The study utilized meta-analysis on 31 primary studies (102 effect sizes, N= 7,342) that were retrieved from online research databases and search engines, and explored the extent to which the overall effectiveness of CAS was moderated by various study characteristics. The overall effect size, 0.38, was significantly different from zero. The mean effect size suggested that a typical student at the 50th percentile of a group taught using non-CAS instruction could experience an increase in performance to the 65th percentile, if that student was taught using CAS instruction. The fail-safe N, Nfs, hinted that 11,749 additional studies with nonsignificant results would be needed to reverse the current finding. Three independent variables (design type, evaluation method, and time) were found to significantly moderate the effect of CAS. The current results do not predict future trends on the effectiveness of CAS; however, these findings suggest that CAS have the potential to improve learning in the classroom. Regardless of how CAS were used, the current study found that they contributed to a significant increase in students performance.