Bibliography: pages 75-82. / This dissertation is concerned with teachers' beliefs regarding boys, girls and mathematics. The present study is a partial replication of a study conducted by Fennema et al (1990) and the results are compared. The present study extended the work of Fennema et al (1990) through an exploration of the structure of the data. Forty female teachers in the Western Cape region were interviewed. They were asked to identify their two most and least successful boys and girls in mathematics and to attribute causation for success and failure. They _were also asked to respond to 20 characteristics on a "Likert type" response format. The results generated from the present study concluded that teachers believed their female students to be their more successful mathematics students. They attributed the most successful girls' achievement mainly to effort whereas with the most successful boys, achievement was attributed to ability and effort. Both the most successful boys and girls failures on mathematics tasks were attributed to the difficulty of the task. Achievement of the least successful girls was attributed mainly to teacher's help and for the boys it was attributed to teacher's help and task. For both these groups, ability and to a lesser extent, effort, are given as the main reasons for failure on mathematics tasks. Very little difference was found between teachers' responses regarding the characteristics of their best boy and best girl mathematics students. When exploratory factor-analysis was performed a difference was found in the factor-solutions for the boys and the girls. This study suggests that there might be a difference in teachers' beliefs regarding boys and girls achievement in mathematics that is worthy of further exploration.

Thesis (MBA)--Stellenbosch University, 2000. / ENGLISH ABSTRACT: Gender inequity in mathematics performance is a global phenomenon. In both the developed and the developing world, females perform more poorly in mathematics than males at senior secondary school level. In Namibia, the situation is no exception. Examination results for the past few years have shown that males outperform females in mathematics at senior secondary school level. This has resulted in more males taking mathematics as a major subject at tertiary level, with the consequence that they subsequently find better jobs than females. For the purpose of this study, a literature research was done to investigate the factors that might influence the mathematics performance of females and males. The search did not show any significant biological differences between males and females that could explain the differences in performance. Several other factors were, however, identified to playa role in how females perform in mathematics. The factors identified were: interest in mathematics, a person's self-concept, mathematics anxiety, attitude towards mathematics, gender stereotyping, and the roles of the family and teachers. These factors were tested in the Namibian situation by means of a questionnaire that was given to Grade 12 students who do mathematics and it was found that: 1. males and females' attitudes towards mathematics differ significantly. Males seem to have a much more positive attitude towards mathematics; 2. Females experience mathematics anxiety at a higher level than males; 3. Gender stereotyping influences the mathematics performance of females more negatively than males' performance; Family members' influence contributes significantly to the poorer performance of females; 5. Interest in mathematics seems to be higher in males than in females; 6. Teacher influence does not seem to play a significant role in the mathematics performance of males and females. (This is in contrast with the results of the literature review.); and 7. There is no difference in the self-concept of Namibian males and females. To help make mathematics more appealing to girls, the first step is to recognise the disparities. Each person in a girl's circle of family, teachers, community and friends can begin, even before she reaches primary school, to hold high expectations of her and praise her performance. Sophisticated technology is increasingly significant to our nation's economic, political and social health. Almost every element of society - in fields as diverse as music, sports and agriculture - is being touched by technology. To prepare them for.these jobs, we must present science, engineering and mathematics as non-intimidating subjects to every student, so that they will feel encouraged to gain the skills and knowledge necessary for technical careers. As we increasingly become part of the global economy, we must engage the intellectual potential of all our young people. / AFRIKAANSE OPSOMMING: Geslagsongelykheid in wiskunde prestasies is a globale verskynsel. Daar is bevind dat meisies swakker doen as seuns in wiskunde in die senior sekondere skoolfase in beide die ontwikkelende sowel as die ontwikkelde lande. Namibia is geen uitsondering nie. Eksamenuitslae van die afgelope paar jare het gewys dat seuns baie beter vaar as meisies in wiskunde, spesifiek in die senior sekondere skoolfase. Dit het tot gevolg gehad dat meer seuns wiskunde neem as hoofvak na skool en dat hulle gevolglik beter werksgeleenthede as meisies kry. Vir die doel van hierdie studie is 'n Literatuurstudie gedoen om uit te vind watter faktore beinvloed die wiskunde prestasies van studente. Die literatuurstudie het geen noemenswaardige biologiese verskille tussen seuns en meisies uitgewys wat moontlik die verskil in prestasies kan verklaar nie. Verskeie ander faktore is egter geidentifiseer wat beslis 'n rol speel in wiskunde prestasies van meisies. Die faktore wat geidentifiseer was, is: belangstelling in wiskunde, 'n persoon se selfbeeld, wiskunde angs, 'n persoon se houding teenoor wiskunde, geslags stereotipes, die rol van die familie en onderwysers. Bogenoemde faktore is getoets in die Namibiese situasie by wyse van 'n vraelys wat uitgegee is vir graad 12 leerlinge wat wiskunde doen. Die resultate wat verkry is, is as volg: 1. Daar is 'n groot verskil tussen seuns en meisies se houding teenoor wiskunde. Dit wil voorkom as seuns se houding meer positief is as die van meisies; 2. Meisies ondervind wiskunde angs in 'n groter mate as seuns; 3. Geslagstereotipes het 'n negatiewe invloed op die wiskunde prestasies van meisies; 4. Familielede se invloed speel 'n groot rol in die swakker prestasies van meisies; 5. Seuns stel meer belang in wiskunde as meisies; 6. Dit blyk asof die invloed van onderwysers nie 'n noemenswaardige rol speel in die wiskunde prestasies van studente nie; Dit is teenstrydig met die bevindinge in die literatuurstudie. 7. Daar is geen verskil in die selfbeeld van meisies en seuns nie. Die eerste stap om wiskunde meer aantreklik vir meisies te maak, is om die dispariteit tussen seuns en meisies te erken. Elke persoon wat op enige manier met meisies in aanraking kom, hetsy familie, onderwysers, gemeenskap of vriende kan, selfs voorskool al, begin om hoë verwagtinge van hulle te koester en hulle te prys vir goeie prestasies. Gesofistikeerde tegnologie raak al hoe meer belangrik vir ons nasie se ekonomiese, politiese en sosiale welslae. Bykans elke sektor in ons gemeenskap, so divers soos musiek, sport en landbou, word geraak deur tegnologie. Die wetenskappe, ingenieurswese en wiskunde moet dus, sonder intimidasie, aan elke student aangebied word, om hulle sodoende aan te moedig om die nodige vaardighede te ontwikkel vir tegnies beroepe. Ons moet al ons jongmense se intellektuele potensiaal ten volle benut om in lyn te kom met die wereld ekonomie.

published_or_final_version / Education / Master / Master of Education

One purpose of this study was to determine whether any differences in immediate achievement or retention existed between students using manipulatives and students not using manipulatives. Also addressed in this study is whether or not the use of manipulatives is more beneficial for girls than boys and whether the use of manipulatives is more beneficial for low-ability students than for high-ability students. Students selected for this study were from a large suburban school district in Texas. The students were from eight intact classes, four of which were designated as the experimental group and the other four as the control group. The sample consisted of one hundred eighty-seven students. All students were tested with a test developed by the researcher. This same test was administered as a pretest, posttest, and retention test. The following supplemental data were also gathered on the students: mathematics scores from the California Test of Basic Skills and scores from the mathematics section of the Texas Educational Assessment of Minimum Skills test. Analysis of the data revealed no statistical difference in the mean scores of students instructed with or without manipulatives when the test was administered immediately after instruction. Nor was there any statistical difference in the mean scores when the test was administered two months after instruction. There was no statistical difference in the mean gain scores from the pretest to the posttest between boys and girls or between high- and low-achieving students. Nor was there any statistical difference between the mean gain scores from the pretest to the retention test between boys and girls or between high- and low-achieving students. It is recommended that further studies be conducted to investigate achievement and retention of students using manipulatives at the secondary level. It is also recommended that variables other than achievement be studied to determine the effects of manipulatives on secondary students.

The major focus of this study is to explore, using the 1990 British Columbia Mathematics Assessment data at the Grade 7 level, gender differences in mathematics teachers' beliefs. As well, this study compared these differences to gender differences of students' beliefs found in the same data. The theoretical rationale for this study is based on a model devised by this researcher, namely the Modified Cognitively Guided Instruction (CGI) Research Model, which is the combination of the Cognitively Guided Instruction Research Model (Fennema, Carpenter, and Peterson, 1989) and the Autonomous Learning Behavior (ALB) Model (Fennema & Peterson, 1985). Two way ANOVA as well as planned comparisons (t-test) were used to investigate gender differences within and across a random sample of two status groups (teachers and students). The analysis of the data suggested several conclusions. First, male and female teachers are more similar than different with respect to their beliefs regarding the importance and difficulty of selected mathematics topics. And, Numbers and Operations was the only topic under study in which male and female teachers differed significantly. Male teachers rated Numbers and Operations more important than female teachers. Second, gender differences existed only in students' beliefs about the difficulty of Geometry, and Numbers and Operations. Female students, compared to male students, believe Geometry and Numbers and Operations more difficult. Third, the findings of this study show that the gender differences within each status group are similar. In addition, significant gender difference was found only in overall male's and female's (regardless of their status) beliefs about the importance of Numbers and Operations. Males rated Numbers and Operations significantly more important than females. Further research which directly investigates gender differences in teachers' beliefs and students' beliefs is suggested, as well as further research into relationships between gender differences in teachers' and students' beliefs.

The major focus of this study is to explore, using the 1990 British Columbia Mathematics Assessment data at the Grade 7 level, gender differences in mathematics teachers' beliefs. As well, this study compared these differences to gender differences of students' beliefs found in the same data. The theoretical rationale for this study is based on a model devised by this researcher, namely the Modified Cognitively Guided Instruction (CGI) Research Model, which is the combination of the Cognitively Guided Instruction Research Model (Fennema, Carpenter, and Peterson, 1989) and the Autonomous Learning Behavior (ALB) Model (Fennema & Peterson, 1985). Two way ANOVA as well as planned comparisons (t-test) were used to investigate gender differences within and across a random sample of two status groups (teachers and students). The analysis of the data suggested several conclusions. First, male and female teachers are more similar than different with respect to their beliefs regarding the importance and difficulty of selected mathematics topics. And, Numbers and Operations was the only topic under study in which male and female teachers differed significantly. Male teachers rated Numbers and Operations more important than female teachers. Second, gender differences existed only in students' beliefs about the difficulty of Geometry, and Numbers and Operations. Female students, compared to male students, believe Geometry and Numbers and Operations more difficult. Third, the findings of this study show that the gender differences within each status group are similar. In addition, significant gender difference was found only in overall male's and female's (regardless of their status) beliefs about the importance of Numbers and Operations. Males rated Numbers and Operations significantly more important than females. Further research which directly investigates gender differences in teachers' beliefs and students' beliefs is suggested, as well as further research into relationships between gender differences in teachers' and students' beliefs. / Education, Faculty of / Curriculum and Pedagogy (EDCP), Department of / Graduate

The purposes of this study were (1) to determine the scores on the quantitative portion of the SAT for 110 students and these students' math teachers' ratings on the TTAS, (2) to determine the nature of the relationship of the students' SAT scores to their teachers' TTAS ratings, and (3) to determine the nature of the relationship of the students' SAT scores to their sex. It was hypothesized that (1) there would be no significant relationship between a student's math score as measured by the quantitative portion of the SAT and the effectiveness of the student's math teacher as measured by the TTAS, and (2) there would be no significant relationship between a student's math score as measured by the quantitative portion of the SAT and the student's sex. The 110 subjects (60 males and 50 females) In this study took the quantitative portion of the SAT during the 1986-87 school year. This sample was drawn from a large suburban high school in the North Texas area. The effectiveness of the math teachers who taught the 110 students was measured by the Texas Teachers Appraisal System (TTAS). The statistical analyses indicated that (1) there was no significant relationship between a higher SAT score and a math teacher's higher TTAS rating and (2) there was no significant relationship between male and female SAT scores. Recommendations for future research include: (1) does the TTAS actually measure teacher effectiveness, (2) do appraisers in Texas follow state mandated training procedures, (3) does the quantitative portion of the SAT contain sexually biased items, (4) does the SAT actually predict student ability, (5) do teachers respond in like manner to male and female students, (6) does the high school curriculum tend to favor one sex more than the other.