Effects of using manipulative materials to teach remedial algebra to community college students on achievement and attitudes towards mathematics

This dissertation derived hypotheses from the theories of Piaget, Bruner and Dienes regarding the effects of using Algebra Tiles and other manipulative materials to teach remedial algebra to community college students. The dependent variables measured were achievement and attitude towards mathematics. The Piagetian cognitive level of the students in the study was measured and used as a concomitant factor in the study.^ The population for the study was comprised of remedial algebra students at a large urban community college. The sample for the study consisted of 253 students enrolled in 10 sections of remedial algebra at three of the six campuses of the college. Pretests included administration of an achievement pre-measure, Aiken's Mathematics Attitude Inventory (MAI), and the Group Assessment of Logical Thinking (GALT). Posttest measures included a course final exam and a second administration of the MAI.^ The results of the GALT test revealed that 161 students (63.6%) were concrete operational, 65 (25.7%) were transitional, and 27 (10.7%) were formal operational. For the purpose of analyzing the data, the transitional and formal operational students were grouped together.^ Univariate factorial analyses of covariance ($\alpha$ =.05) were performed on the posttest of achievement (covariate = achievement pretest) and the MAI posttest (covariate = MAI pretest). The factors used in the analysis were method of teaching (manipulative vs. traditional) and cognitive level (concrete operational vs. transitional/formal operational).^ The analyses for achievement revealed a significant difference in favor of the manipulatives groups in the computations by campus. Significant differences were not noted in the analysis by individual instructors.^ The results for attitude towards mathematics showed a significant difference in favor of the manipulatives groups for the college-wide analysis and for one campus. The analysis by individual instructor was not significant. In addition, the college-wide analysis was significant in favor of the transitional/formal operational stage of cognitive development. However, support for this conclusion was not obtained in the analyses by campus or individual instructor. ^

The effectiveness of an intelligent tutoring system on the attitude and achievement of developmental mathematics students in a community college

This study examined the effectiveness of intelligent tutoring system instruction, grounded in John Anderson's ACT theory of cognition, on the achievement and attitude of developmental mathematics students in the community college setting. The quasi-experimental research used a pretest-posttest control group design. The dependent variables were problem solving achievement, overall achievement, and attitude towards mathematics. The independent variable was instructional method.^ Four intact classes and two instructors participated in the study for one semester. Two classes (n = 35) served as experimental groups; they received six lessons with real-world problems using intelligent tutoring system instruction. The other two classes (n = 24) served as control groups; they received six lessons with real-world problems using traditional instruction including graphing calculator support. It was hypothesized that students taught problem solving using the intelligent tutoring system would achieve more on the dependent variables than students taught without the intelligent tutoring system.^ Posttest mean scores for one teacher produced a significant difference in overall achievement for the experimental group. The same teacher had higher means, not significantly, for the experimental group in problem solving achievement. The study did not indicate a significant difference in attitude mean scores.^ It was concluded that using an intelligent tutoring system in problem solving instruction may impact student's overall mathematics achievement and problem solving achievement. Other factors must be considered, such as the teacher's classroom experience, the teacher's experience with the intelligent tutoring system, trained technical support, and trained student support; as well as student learning styles, motivation, and overall mathematics ability. ^

Effects of cooperative and individual integrated learning system on attitudes and achievement in mathematics

This study compares the effects of cooperative delivery (CD) and individual delivery (ID) of integrated learning system (ILS) instruction in mathematics on achievement, attitudes and behaviors in adult (16-21 yrs.) high school students (grades 9-13). The study was conducted in an urban adult high school in Miami-Dade County Public Schools using a pre-test/post-test design. Achievement was measured using the Test of Adult Basic Education (TABE) by CTB MC-Graw-Hill and Compass Learning. An attitudinal survey measured attitudes towards mathematics, the computer-related lessons, and attitudes toward group activities. Behavior was assessed using computer lab observations. ^ Two-way analyses of variance (ANOVA) were conducted on achievement (TABE and Compass) by group and time (pre and post). A one-way ANOVA was conducted on the overall attitude by group on the five components (i.e., content mathematics, delivery/computers, cooperative, partners, and self efficacy) and a one-way ANOVA was conducted on the on-task behavior by group. ^ The results of the study revealed that CD and ID students working on mathematics activities delivered by the ILS performed similarly on achievement tests of the TABE. The CD-ILS students had significantly better overall mathematics attitudes than the ID-ILS students and the ID-ILS group was on-task significantly more than the CD-ILS group. This study concludes that regularity and period of time over which the ILS is used may prove to be important variables although there were insufficient data to fully investigate the impact of models of use. Additionally, a minimum amount of time-on-system is necessary before gains can become apparent in innumeracy and increasing exposure to the system may have beneficial effects on learning. ^

The effectiveness of an intelligent tutoring system on the attitude and achievement of developmental mathematics students in a community college

This study examined the effectiveness of intelligent tutoring system instruction, grounded in John Anderson's ACT theory of cognition, on the achievement and attitude of developmental mathematics students in the community college setting. The quasi-experimental research used a pretest-posttest control group design. The dependent variables were problem solving achievement, overall achievement, and attitude towards mathematics. The independent variable was instructional method. Four intact classes and two instructors participated in the study for one semester. Two classes (n = 35) served as experimental groups; they received six lessons with real-world problems using intelligent tutoring system instruction. The other two classes (n = 24) served as control groups; they received six lessons with real-world problems using traditional instruction including graphing calculator support. It was hypothesized that students taught problem solving using the intelligent tutoring system would achieve more on the dependent variables than students taught without the intelligent tutoring system. Posttest mean scores for one teacher produced a significant difference in overall achievement for the experimental group. The same teacher had higher means, not significantly, for the experimental group in problem solving achievement. The study did not indicate a significant difference in attitude mean scores. It was concluded that using an intelligent tutoring system in problem solving instruction may impact student's overall mathematics achievement and problem solving achievement. Other factors must be considered, such as the teacher's classroom experience, the teacher's experience with the intelligent tutoring system, trained technical support, and trained student support; as well as student learning styles, motivation, and overall mathematics ability.

Taiwanese faculty and administrators' perceptions and preferences toward shared governance

This study investigated the perceptions, attitudes, preferences, and actual reported degree of faculty participation in decision-making in Taiwanese universities. It was aimed at exploring possible agreements and disagreements between the faculty and administrators concerning these perceptions, and between the actual and preferred degree of faculty participation in both groups. ^ Seven questions were addressed in this study: (a) What are the most and the least reported areas of faculty involvement in decision making? (b) What are the most and the least preferred areas of faculty involvement in decision-making? (c) Is there a difference between faculty and administrators' reports of faculty involvement in decision-making? (d) Is there a difference between faculty and administrators in their preference for faculty involvement in decision-making? (e) Among the faculty, is reported involvement different from preferred involvement in decision-making? (f) Among the administrators, is their reported faculty involvement different from their preferred faculty involvement? and (g) Do faculty and administrators hold different attitudes toward faculty participation in decision-making? ^ The results indicated that: (a) Faculty had the highest level of involvement in academic decisions, and had the lowest level of involvement in developing general policies. (b) Both faculty and administrators had the highest preference for faculty involvement in academic decisions, and both of them had the lowest preference for faculty involvement in general policies. (c) Administrators reported a level of involvement for the faculty that was higher than the level that the faculty themselves reported. (d) Faculty desired a higher level of involvement than they currently have, and administrators also agreed that faculty should have greater involvement. ^ The interview results indicated that the presidents believed that faculty should participate in decision-making, but they also had negative feelings towards faculty who were enthusiastic about participating. The presidents showed their support of faculty participation in academic decisions, but not in other areas. ^ The results reflected the traditional Taiwanese social expectations of the role of faculty. When the range of decisions was narrowed to the academic context, the disagreements between the faculty, administrators, and university presidents disappeared. However, when the range of decisions was expanded, the agreement declined. ^

This was uncalled for : Dave Eggers' A heartbreaking work of staggering genius subverts the genre of traditional autobiography as an attempt at rendering his life

The purpose of this thesis was to explore why and how the author Dave Eggers subverts the genre of traditional autobiography in his memoir A Heartbreaking Work of Staggering Genius. I compared Eggers' work to Gertrude Stein's The Autobiography of Alice B. Toklas and William S. Burroughs' Junky. I found that like Stein and Burroughs, Eggers utilized various rhetorical devices outside of traditional autobiography because he could not find the means to express himself within the genre. Eggers employed various rhetorical methods reserved for fictional texts, such as stream of consciousness, characterization, and irony, in order to reconcile his feelings towards his parents' deaths and render those feelings in his memoir. I established that Eggers concluded his memoir with impossibility of arriving at one Meaning that could summate his tragic experience. Thus, I proved that Eggers gave the reader the only authentic interpretation he could: the memoir as a small, incomplete glimpse into his life.