The purpose of this research was to examine the possible associations between the perceived classroom environment of high school students, the level of mathematics anxiety that they possess, and their attitudes towards mathematics. This marks the first time that these three fields of research have been simultaneously combined. Data were gathered from 745 high school mathematics students in 34 classes in high schools in the Southern California area using three instruments: the What is Happening In this Class? (WIHIC) learning environment survey created by Fraser, McRobbie, and Fisher (1996), an updated version of Plake and Parker's (1982) Revised Mathematics Anxiety Ratings Scale WRS), and a mathematics version of selected scales from Fraser's (1981) Test of Science-Related Attitudes (TOSRA). This revised attitude instrument was called the Test of Mathematics-Related Attitudes (TOMRA). Using statistical methods, the three instruments were checked for internal consistency reliability, factor structure, and discriminant validity. The RMARS and WIHIC were both found to exhibit good reliability and factorial validity in mathematics classrooms in Southern California, while the TOMRA yielded two scales of the four a priori scales, Enjoyment of Mathematics Lessons and Normality of Mathematicians, which met reliability and factorial validity standards. Within-class gender differences were analysed using paired t-tests combined with a modified Bonferroni procedure and effect sizes. Between- student gender difference were investigated using MANOVA. Simple correlation and multiple regression analyses were performed to identify possible associations between the learning environment and anxiety/attitudes scales. Qualitative data were collected from interviews and inductive analysis was performed in order to refute or corroborate the quantitative findings. / Significant within-class gender differences were found in four areas of the learning environment (Student Cohesiveness, Task Orientation, Cooperation, and Equity), but no gender differences in attitudes were found. All four learning environment areas were perceived in a more favourable light by females than by males. Individual gender differences were similar, with a significant difference also being found in Teacher Support, as well as both types of mathematics anxiety, namely, Learning Mathematics Anxiety and Mathematics Evaluation Anxiety. In order to carefully identify the relationships between the classroom learning environment and mathematics anxiety, analyses were conducted for both factors of mathematics anxiety. While no association between the learning environment and Mathematics Evaluation Anxiety was found, there were significant associations between Learning Mathematics Anxiety and three areas of the learning environment: Student Cohesiveness, Task Orientation, and Investigation. Significant associations between the Normality of Mathematicians attitude scale and the learning environment scales Equity and Involvement were identified, while three areas of the learning environment (Investigation, Task Orientation, and Cooperation) had a significant relationship with Enjoyment of Mathematics Lessons. Qualitative data analyses confirmed relationships between anxiety, attitudes, and classroom learning environments. The data also suggest that the structure of the mathematical content is linked with the level of anxiety that high school students feel.

Magister Educationis - MEd / The study is located within the project: Relevance of School Mathematics Education (ROSME) of the Department of Didactics at the University of the Western Cape. The research is undertaken in the belief that Mathematics enables creative and logical reasoning about contextualised problems in the realm of the physical and social world as well as in the discipline mathematics itself. Relevance of school Mathematics has the implied notion of contextual issues. This research attempts to investigate the contextual issues that teachers have to deal with in Mathematics education. Given the results of the TIMMS report, this research aims to investigate, through comparison, the context preferences between a selected group of practicing teachers in South Africa and those of their counterparts in South Korea.

Made available in DSpace on 2015-03-04T21:16:48Z (GMT). No. of bitstreams: 0 Previous issue date: 22 / Nenhuma / A Tese tem por objetivo problematizar um enunciado que circula de forma recorrente no discurso da Educação Matemática Escolar, que diz respeito à importância de trabalhar com a “realidade” do aluno. O material de pesquisa analisado abrange a Revista do Ensino do Rio Grande do Sul, especificamente os exemplares publicados entre os anos de 1939 e 1941, os anais dos três congressos brasileiros de Etnomatemática (CBEm’s) e os dos três últimos Encontros Nacionais de Educação Matemática (ENEM’s). Servindo-se das teorizações de Michel Foucault, do segundo Wittgenstein e de John Dewey, a Tese examina como foram sendo concebidas as relações entre a escola e o mundo social mais amplo no campo educacional do Ocidente e os entrelaçamentos do enunciado estudado com outros desse campo, que, em sua dispersão, acabaram por produzir efeitos de verdade no discurso da Educação Matemática Escolar. O trabalho investigativo mostrou: a) como o enunciado estudado foi sendo reatualizado ao atravessar os séculos XVII e XVIII, não se / The thesis aims to problematize a statement that circulates in a recurrent way in the School Mathematics Education discourse, which concerns the importance of working with the student’s “reality”. The data of the study comprises the Revista do Ensino do Rio Grande do Sul (Rio Grande do Sul State Teaching Journal), specifically the issues published between 1939 and 1941, the proceedings of the three Brazilian Congresses on Etnomathematics (CBEm’s) and the three last National Meetings on Mathematics Education (ENEM’s). Based on Michel Foucault, later Wittgenstein and John Dewey’s theorizations, the thesis examines how, in the Western educational field, the relationships between the school and the wider social world were being conceived and the intertwinements of the studied statement with others of such field, which, in their dispersion, produced effects of truth in the School Mathematics Education discourse. The investigation shows: a) how the statement under study was being renewed through the seventeenth an

This study set out to determine the relationship between assessment practices and teaching methods. I wanted to investigate whether making mathematical investigation assessment tasks available to elementary-school mathematics teachers would have a positive effect on their teaching. Research tells us that standardized tests influence instruction. My research explored whether a national Assessment Task Bank of mathematical investigative tasks could influence teachers.With these aims in mind, the following research questions were formulated:1. Will the teachers' use of mathematical investigation tasks for assessment purposes influence their view of mathematics?2. Will the teachers' use of mathematical investigation tasks for assessment purposes influence the way they teach, and if so, in what ways?3. Will the teachers' use of mathematical investigation tasks for assessment purposes influence the way they assess their students, and if so, in what ways?My research was divided into two parts: 1) a national study involving teachers-leaders throughout the country; and 2) an intensive study in a small Israeli community, called Sharon. The first part examined how the national courses on assessment that I conducted affected the participating teacher-leaders in terms of their concept of mathematics, their teaching methods and their assessment practices. The second part examined the same issues with regard to the mathematics coordinators in the Sharon community. In each case, I have detailed my experiences so that the reader can gain a view of all facets of the study.The research methodology adopted was based on a constructivist paradigm, sometimes referred to as a "naturalistic inquiry", utilizing ethnographic principles wherein the data collection and analysis procedures were eclectic. In the course of the five years of my research, I used many strategies of data collection - ++ / for example, unstructured participant-observations, interviews, questionnaires and content analysis of artifacts (tests and tasks written by teachers).The ideas of reform mathematics (as defined in Ch 2 of this thesis) are based on a broadened vision of mathematics with emphasis on higher-order thinking. My research indicated that the use of mathematical investigation tasks helped the teachers in my study reach the awareness that mathematics, even on the elementary school level, involves generalizations, justifications and even creativity.Prior to my research, and because of my position, I was aware that Israeli teachers were concerned primarily with teaching routine procedures and that their work sheets for the most part involved single-answer exercises. My research indicated that the use of mathematical investigation tasks indeed influenced the way teachers teach. Verbalization-having the students explain "Why"-has become integral to the teaching practices of the participants in my study. Nowadays, the Israeli teachers I worked with use "authentic tasks" in their classrooms: real-life situations that involve some mathematics. Unfortunately, these tasks are not always planned properly.My research demonstrated that teachers attending my professional courses found the mathematical investigation tasks to be useful for assessment purposes, providing them with additional information about their pupils, not obtainable through conventional assessment methods. The additional criteria (I introduced) for evaluating the pupils' work aided in defining these additional areas. I found that while teachers were quite willing to use the mathematical investigation tasks to supplement the conventional tests, they were reluctant to use them as replacements.Exposure to the Assessment Task Bank influenced to a certain degree, the way the teachers in my study assessed their students. The ++ / tests of the teachers who were participants in my study now regularly include elements that were previously absent: questions requiring explanations and questions with more than one possible answer.Although the teachers of my study were increasingly using questions that required higher-order thinking, the tendency was to use the tests in a summative manner, rather than formatively. In other words, many teachers found it difficult to use test results for planning their subsequent lessons. While they were able to analyze their students' work and could report in some detail on each student's performance, they failed to understand how this should affect their teaching. Before they were exposed to the tasks they had administered tests merely in order to provide grades, whereas now the teachers were often trying to understand the students' thinking.While long-term change is still elusive, my research has demonstrated that exposure to reform mathematics through the mathematical investigative tasks of the Assessment Task Bank did have some influence on the teachers' view of mathematics, as well as their teaching and assessment practices.

This investigation of twentieth century trends in mathematics education includes the survey of existing literature and questionnaires conducted with retired and active Texas teachers. Historical events, trends in curriculum, instruction, learning theories, and contradictions of twenty-year periods are delineated. Questionnaire responses are tabulated along the same periods and vignettes of typical classrooms are drawn from the data. Results of the survey show the impact of societal forces on mathematics curricula, a continued downward expansion of content into lower grades and expanding knowledge of learning processes. A unified mathematics curriculum, classroom-related learning theory research, and further development of team-teaching are postulated as future trends. Recommendations include further examination of trends through isolation of other variables such as region and ethnicity.