No description available.

Thesis (Ph.D.)--The University of British Columbia (Canada), 2005. / (UnM)AAINR10416. Source: Dissertation Abstracts International, Volume: 66-12, Section: A, page: 4331.

A research report submitted to the Wits School of Education, Faculty of Humanities, University of the Witwatersrand in partial fulfilment of the requirements for the degree of Master of Education by combination of coursework and research / Percent is a familiar, yet complex topic that is found to be difficult for both adults and children. The question of why percent has been persistently difficult has spurred much research, the most notable of which was conducted in the early 1990’s. Those studies have adopted a cognitive perspective. This study adds a commognitive perspective to the discussion by proposing a model for the development of percent discourse (PD-Model). The model rests on Sfard’s premise that learning mathematics is synonymous with modifying and extending one’s discourse. I begin by employing a cognitive framework of percent for the design of written tests to identify the areas of percent that first-year university students experience difficulty with. The quantitative analysis of the written tests shows that less than half the students obtained a score of 50% or more. Later, in search of the features of students’ discourse that hinder their access to percent discourse, I examine the discourse of two pairs of students in interview sessions. I illustrate the application of the PD-Model as an interpretive analytical tool that offers an explanation for the insufficiency in their objectification of percent as a comparative ratio. This study confirms the results of Parker’s (1994) study, that is: percent is difficult for students to work with. The key findings of the discursive analysis show that students’ discourse of percent is narrow and deeply rooted in a percent-as-fraction notion. The students’ discourse is predominantly additive in nature and does not show signs of recognising the underlying multiplicative structures of percent tasks. As such, a fully-fledged objectification of percent as a comparative ratio is not evident in the students’ discourse of percent. / NG (2020)

Thesis (M. Ed. (Curriculum Studies))--University of Pretoria, 2002. / Includes bibliographical references.

Thesis (Ed. D.)--Lehigh University, 1997. / Includes vita. Bibliography: leaves 127-135.

Thesis (Ph. D.)--University of Texas at Austin, 1998. / Vita. Includes bibliographical references (leaves 266-274). Available also in a digital version from Dissertation Abstracts.

The need to understand which factors most strongly affect performance in first-year mathematics programs at Khon Kaen University (KKU), in North Eastern Thailand, provided the main focus of the study which is described. First-year mathematics students in the 1990-1991 academic year, from four KKU faculty groups (Medicine and Nursing, Agriculture, Science and Education, and Engineering) were involved in this study. Research literatures addressing variables which were likely to influence performance in early tertiary mathematical study, and variables associated with difficulties in learning mathematics at the transition from upper secondary school to tertiary studies, were reviewed. The first major aim of the study was to identify the variables which were good predictors of first-year mathematics performance at KKU. Results from stepwise multiple regression analyses indicated that the following predictor variables were statistically significant and entered the regression equations for most Faculty groups: School Mathematics Achievement, Self-Esteem, Study Habits in Mathematics, and Faculty of Study. Other predictor variables that sometimes entered regression equations (depending on the Faculty group) were Socio-Economic-Status, Mathematics Language Competence, Mathematics Confidence, Attitude Towards Mathematics, and Gender. Depending on Faculty group, the statistically significant variables accounted for between 11% and 74% of scores on fist-year KKU mathematics examinations. The predictor variables contributed much more to the variance of scores on first-semester mathematics examinations than to the variance of scores on second-semester mathematics examinations. It was also found that scores on the Direct Entry Examination Mathematics test (administered by KKU) and the School Mathematics Achievement test (developed and administered by the author) had stronger correlations with first-year KKU mathematics performance than did scores on the National Entry Examination Mathematics tests (administered by the Thai Ministry of University Affairs). Scores on the three pre-university mathematics achievement test instruments were better predictors of first-semester mathematics performance than of second-semester mathematics performance. It was found that the mean Mathematics Confidence of male students was statistically significantly higher than that of female students, but there were no statistically significant gender differences in Mathematics Misplaced Confidence. Only about 30% of the main sample ( 30% of the male and 30% of the female sample groups) had appropriate confidence in mathematics, that is, they thought their answers were correct when they were, in fact, correct, and they thought they were wrong when they were, in fact, incorrect. So far as Faculty performance differences were concerned, Engineering students had the highest Mathematics Confidence scores, followed by the Medicine and Nursing group of students and the Science and Education group students. Agriculture students had the lowest mean Mathematics Confidence score. No statistically significant differences occurred in Mathematics Misplaced Confidence between different Faculty groups. The second main aim of the study was to investigate why many first-year students experienced difficulties in coping with their mathematics units. A small group of senior secondary mathematics teachers, university mathematics lecturers, and first-year mathematics students were interviewed during the first semester of the 1990-1991 academic year. Interviews were conducted by the author according to a questionnaire format, and were aimed at identifying factors causing difficulty in the transition from senior secondary to university mathematical study. The analysis of the quantitative data together with the interview data indicated that the major sources of difficulty were associated with: (a) students' mathematical abilities; (b) curriculum content; (c) course organisation; (d) students' study habits; (e) instructional styles; and (f) assessment procedures. The results of the investigation are discussed in the light of the relevant literature and related research. The study concludes with recommendations which are addressed to mathematics teachers and education administrators in senior secondary schools in Thailand, to the Thai Ministry of Education, and to the KKU Department of Mathematics.

Thesis (M.A.)--University of Notre Dame, 2009. / Thesis directed by Sean Kelly for the Department of Sociology. "December 2009." Includes bibliographical references (leaves 59-62).

The purpose of the study was to investigate second language learner‟s proficiency in mathematical language. The study was conducted using the Grade 12 learners in a senior secondary school in the district of Mthatha, Eastern Cape. The researcher used a case study approach and a questionnaire was used to investigate whether or not learners understood the language rather than to assess their mathematical ability. English was the language in question and used as the medium of instruction (MOI). In this study, aspects of the language used for mathematics are highlighted, the importance of mathematical vocabulary is discussed and reference is made to some recent research concerned with the understanding of mathematical language. The importance of language as a factor in the learning of mathematics is established through a consideration of bilingualism and the writer‟s own research into the understanding of mathematical language. Perhaps the most obvious educational difficulty which students encounter is that of language. Teachers and curriculum planners need to assess whether this is desirable, and to attempt to find ways in which learners in bilingual education programmes can learn mathematics in a meaningful way. Theories on the interaction between language and mathematical thinking, as well as the studies conducted with bilingual students can inform one‟s thinking about this issue. These ideas have important implications for teaching, texts and curriculum development. The study examined some of the above aspects in the context of South African Education.

Second language (English) learning of mathematics is common in South African mathematics classrooms, including those in the Eastern Cape Province of South Africa where isiXhosa speakers are taught in the language that is not spoken at home by both teachers and learners. The purpose of this research was to investigate issues of language, both home (isiXhosa) and the language of learning and teaching (LoLT), i.e. English, when 9th grade second language learners engage in problem-solving and sense-making of wor(l)d problems in multilingual mathematics classrooms. In addition, the aim of the study was to explore whether the introduction of discussion and argumentation techniques in these classrooms can ameliorate these issues. The study used a pre-test – intervention – post-test mixed method design utilising both quantitative and qualitative data. The data collection strategies for the purpose of this study included interviews (learners [n=24] and teachers [n=4]), classroom observations, and tests (experimental [n=107] and comparison [69]) in four experimental and two comparison schools in townships of Port Elizabeth. This study is framed by socio-cultural perspective which proposes that collective and individual processes are directly related and that students‘ unrealistic responses to real world problems reflect the students‘ socio-cultural relationship to school mathematics and their willingness to employ the approaches emphasised in school. Analysis of the data generated from pre- and post-tests, interviews and classroom observation schedule suggest that the interventional strategy significantly improved the experimental learners‘ problem-solving skills and sense-making abilities in both English and isiXhosa (but more significantly in English). The statistical results illustrate that the experimental group performed statistical significantly (p < .0005) better in the English posttest compared to comparison group. The data also suggests that the interventional strategy in this study (discussion and argumentation techniques) positively influenced the participating learners‘ word problem-solving abilities. The experimental group appeared to show a tendency to consider reality marginally better than the comparison group after the intervention. In particular, learners seemed to make realistic considerations better in the isiXhosa translation post-test compared to the English post-test. A large practical significant (d = 0.86) difference between the experimental group and the comparison group was also noted in the isiXhosa translation compared to a moderate practical significance (d = 0.57) noted in the English tests after the intervention. As such, the results of the study suggest that the introduction of discussion and argumentation techniques in the teaching and learning of mathematics word problems had a positive effect on learners‘ ability to consider reality during word problem-solving in both languages. Analysis of learners‘ interviews suggests that, although English is the preferred LoLT, they would prefer dual-use/parallel-use of English and isiXhosa for teaching and learning mathematics. There was also evidence of the benefits of code-switching throughout most of the lessons observed, coupled with instances of peer translation, and/or re-voicing. Overall results in this study illustrate that number skills displayed and mathematical errors made by learners seem to be directly related to language use in the classroom.