Computers and Mathematics


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Research in Education


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A Comparison of the Effect of Computer-assisted-instruction and Same-age Peer-tutoring on Math Achievement of Fourth Grade Students


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A pretest-posttest design was used to compare the effectiveness of computer-assisted-instruction (CAI) drill and practice with the effectiveness of same-age peer-tutor drill and practice on promoting mastery of multiplication facts. The subjects were students from three, fourth grade classes in the Reedville School District of Aloha, Oregon. Two fourth grade classes were randomly assigned to two treatment groups: CAI and same-age peer-tutoring. A third class was designated as a control group. Students in the CAI group drilled on multiplication facts independently at a computer for 10 minutes per day for 25 days. Students in the same-age peer-tutor group tutored classmates using multiplication flashcards for 5 minutes and were tutored for an additional 5 minutes for a total of 10 minutes per day for 25 days. The control group received traditional math instruction consisting of daily, one-minute, mastery tests. Drill and practice was independent and self-paced. Treatment consisted of drill and practice on multiplication facts with multipliers 0-9 and multiplicands 6-9. The pretest and posttest were computer-constructed criterion tests consisting of randomly selected multiplication facts from the treatment set. Fifty-two students began the treatment. Forty-five students completed treatment and the posttest. Analysis of variance and Tukey's multiple comparison test showed a significant difference between the CAI group (x̄ = 48.00) and control group (x̄̄ = 67.60) on the pretest. However, on the posttest, analysis of covariance revealed no significant difference among the groups (p = .05). Therefore, the null hypotheses for the study were accepted. The hypotheses predicted there would be no significant difference between the groups' mean math scores on the posttest. Although the study did not identify either CAI or same-age peer-tutoring drill and practice as more effective than the other, it did show both strategies to be equally effective in promoting mastery of basic math facts. The adjusted group means were CAI: 93.97 and same-age peer-tutoring: 93.43. In finding the two strategies to be equally effective, the study identified same-age peer-tutoring as a cost-effective alternative to CAI drill and practice. The findings have implications for staff development, curriculum planning, and for teachers' selection of drill and practice strategies.







Research in Education


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The Effectiveness of Computer-assisted Instruction in Developmental Mathematics


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Colleges and universities are trying alternative instructional approaches to improve the teaching of developmental mathematics with the goal of increasing the number of students who have the skills and knowledge required for college-level math courses and for the twenty-first century workforce. Computers and the internet make possible new methods of delivering instruction so students will have choices of when, where, and how they learn math. The purpose of this study was to compare academic performance of students enrolled in a developmental mathematics course using traditional instruction, traditional instruction supplemented with computer-assisted instruction, and online distance learning. In addition, gender differences in mathematical performance were also investigated. The quasi-experimental study was conducted in Intermediate Algebra classes at a large, private, eastern university. An analysis of covariance was used to adjust the mean posttest scores for any initial difference in the groups on the pretest. There was no statistically significant difference in the posttest scores of students receiving traditional instruction and traditional instruction supplemented with computer-assisted instruction. There was a significant difference in the posttest scores of females and males, with females outperforming males in both modes of instruction. Although the original intent of this study was to include a group of students who took the course online, pretest scores for this group excluded them from the analysis. Institutions should offer developmental mathematics courses in a variety of formats, assist students in selecting the mode of instruction that best suits their learning style, and provide professional development in computer-assisted instruction.










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


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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.