This research investigates the relationship between the attitude of senior secondary mathematics educators towards school and the achievement of their learners. A literature study examined research into the relationships between an educator's attitude towards his or her school management team, colleagues, learners, parents, the subject of mathematics and the factors influencing mathematics achievement. An empirical investigation used a quantitative research design to collect data from selected senior secondary schools in the Eastern Cape Province of South Africa. A questionnaire was used to gather data and a statistical data analysis was conducted to calculate frequencies and test hypotheses. Findings indicated the existence of a relationship between educators' attitudes towards school and the achievement of their learners. It was therefore recommended that school managers should be very sensitive to the climate prevailing in their schools in order to encourage mathematics educators and thus, indirectly, learners in this vital subject. / Educational Studies / M. Ed. (Didactics)

In this study, senior certificate (standard 10) pupils' attainment of the cognitive and affective aims and objectives of the senior certificate mathematics curriculum was investigated. With regard to the attainment of the cognitive objectives and aims, senior certificate pupils' performance in their mathematics examination, in terms of three broad categories of cognitive abilities (lower level, middle level and higher level mathematical abilities) was analysed and examined. As no norms (criteria) for mathematical attainment in respect of these three categories of cognitive abilities could be identified, these norms had to be firstly developed by the researcher. However, suitable standardised scales were identified and administered to determine senior certificate pupils' attainment of the affective aims and objectives (attitude towards and interest in mathematics). Besides the quantitative analysis, qualitative assessments of senior certificate pupils' attainment of the cognitive and affective aims and objectives were also made using information obtained, by way of a questionnaire, from teachers of senior certificate mathematics classes. The main findings that emerged from this investigation were: * The senior certificate pupils are attaining the desired proficiency levels in the cognitive objectives and aims of the senior certificate mathematics curriculum. However, these pupils are not adequately attaining the affective aims and objectives of the mathematics curriculum. * Qualitative information elicited from senior certificate teachers of mathematics tends to support the above findings which were obtained from the quantitative analysis. * There is a need for curriculum development in certain areas of the senior certificate mathematics curriculum, particularly in Euclidean geometry, for standard grade pupils. In terms of the general findings, certain recommendations were also formulated. In several ways, the present research is a pioneering effort in evaluating the efficacy of the cognitive and affective aims and objectives of the senior certificate mathematics curriculum. It is hoped that this study will serve as a catalyst for future research. / Curriculum and Instructional Studies / D. Ed. (Didactics)

The purpose of this study is to formulate guidelines upon which Technology Education can be put into operation in the South African schools with specific reference to standard eight students. The objective is to formulate Technology Education guidelines suitable for and within the broad framework of the South African curricula. In attempting to translate Technology Education curriculum to South Africa, the author explores the state of advancement in Technology Education in various developed and developing countries. The status, principles and theoretical assumptions of Technology Education are also explored. The role of the teacher in the Technology Education programme is also discussed. Guidelines for Technology Education, including Technology Education teaching strategies, guidelines for Technology Education assessment standards and guidelines for integrating Technology Education, Science and Mathematics are also formulated. The author qualifies the significance of Technology Education in South Africa through a pilot study over a year. The subjects of this (pilot) empirical study consisted of a total of 175 standard eight students, 77 of who were in a control group, who had received no tuition in Technology Education. A group of 98 received tuition in Technology Education for a year. The normal end of the year examination in 1994 measured academic performance of the two groups. Performance in 1993 is also used in the statistical analysis. The Univariate Analysis of Variance (ANOVA) is applied in the analysis of data. Statistically significant differences are found between the academic performance of these two groups in relation to the overall Examination marks, English, Science and Mathematics marks. Statistically significant differences are also found between the 1993 and 1994 performance of the experimental group after receiving Technology Education tuition in standard eight in terms of the overall Examination, marks, English, Science and Mathematics marks. In the control group, no statistically significant differences were evidenced in Mathematics, English and Science when comparing marks in 1993 and in 1994. It is only applicable in the average Examination mark. These results confirm the role that Technology Education plays in enhancing performance in Science and Mathematics including English. / Curriculum and Institutional Studies / D. Ed. (Didactics)

The study explored factors that affect academic achievements in Grade 6 mathematics classrooms in a case of solving word problems. It investigated empirically the causes and perceptions that lead to difficulties in solving word problems and eventually identified strategies for teaching them. The constructivist philosophy was adopted. The study used the mixed-method design with quantitative data complementing the qualitative information. In gathering data, a word problem task, questionnaires, a class observation schedule, face-to-face and focus group interviews were used, focusing on SFS (pseudo) school learners and their teachers as a convenient sample. Data analysis was done in an integrated fashion where concurrent triangulation was followed. The statistics results illustrate that factors such as English language proficiency adversely affect the academic achievements of Grade 6 learners when solving word problems. Reading instructions aloud repeatedly and explaining key mathematical concepts have emerged as key strategies in understanding and solving word problems in mathematics. / Inclusive Education / M. Ed. (Inclusive Education)

Students with specific learning disabilities (SLD) are educated in general education classrooms. As a result, these students are faced with more challenging instructional curricula. Although some students with SLD perform as well in mathematics as students without disabilities, most perform below state standards despite being provided instructional and testing accommodations. Policy makers have envisioned the implementation of instructional accommodations as a primary means of ensuring an appropriate education (Mcleskey, Hoppey, Williamson & Rentz, 2004; Scalon & Baker, 2012) for students with disabilities in general education classrooms (Mc Guire, Scott, & Shaw, 2006). The researcher implemented a non-experimental ex post facto research design to investigate the research hypothesis to determine the relationship between the five most frequently used accommodations by general education teachers who teach students with SLD and student achievement in Algebra 1. At the beginning of the 2016 – 2017 school year, the collection of data began by emailing the Qualtrics Survey Software (V.23) to 185 general education mathematics teachers in Miami-Dade County Public Schools. Four main instructional accommodation constructs were assessed using a 15-item questionnaire. From the responses to the survey, the five of the most frequently used accommodations were determined. Nine general education Algebra 1 teachers from six high schools across the county who reported using similar accommodations and taught three or more students with SLD in mathematics participated in the study. The researcher and two peer researchers conducted in-class observations on the participants’ fidelity of implementation of accommodations (FOI) using a checklist during the period in which they taught students with SLD. An Algebra I test was used for pre- and post-testing to determine student mathematics achievement. The results of the survey indicated that teachers most frequently provided: (a) sample problems of varying levels, (b) guides or prompts or personal (teacher/peer) assistance, (c) extended access to instructional resources and equipment, (d) provided preferential seating and (e) additional time to complete assignment or class projects. Linear regression analysis revealed a significant positive relationship between teacher FOI of accommodations and student achievement (p < .05).

lnternasionaal, sowel as nasionaal bestaan daar besorgdheid oor leerders se ontoereikende prestasie in wiskunde. In postapartheid Suid-Afrika is ontoereikende prestasie in wiskunde 'n wesenlike probleem. Talle studies is reeds onderneem om hierdie verskynsel te verklaar omdat wiskundeprestasie van kardinale belang is vir enige ontwikkelende land. Navorsing het onder meer aangetoon dat wiskundeprestasie op skoal een van die beste voorspellers van sukses op tersiere vlak is en dat daar 'n statistiese betekenisvolle verband bestaan tussen wiskundeprestasie en aspekte van studie-orientasie in wiskunde (insluitende studiegewoontes, wiskunde-angs, houding jeens wiskunde, effektiewe tydsbestuur, ouerverwagting, asook leerders se sosiale en ervaringswereld in wiskunde). Verskeie ander faktore beïnvloed ook wiskundeprestasie, met inbegrip van bekwaamheid, belangstelling, leerders se agtergrond en die gehalte van onderrig. Oor die afgelope 20 jaar fokus navorsers op onder meer die invloed van sosiale, kognitiewe en metakognitiewe, konatiewe en affektiewe fasette van prestasie in wiskunde. Die doel van hierdie studie was om ondersoek in te stel na die fasette van emosionele intelligensie en die dimensies van studie-orientasie in wiskunde wat moontlik 'n rol kan speel in die middel-adolessent se wiskundeprestasie. Die studie het veral gefokus op die aard van emosionele intelligensie en studie-orientasie in wiskunde, die aard en betekenis van wiskundeprestasie, die mate waartoe ('n kombinasie van fasette van) emosionele intelligensie en studie-orientasie middeladolessente se wiskundeprestasie voorspel en hoe verskillende taal-, geslag- en graadgroepe (in hierdie studie verteenwoordig) se prestasie in hierdie opsig vergelyk. Die studie het plaasgevind vanuit 'n sosio-konstruktivistiese paradigma wat uit die interpretivistiese paradigma ontwikkel het. Seide kwantitatiewe en kwalitatiewe datainsamelingstegnieke (KWAN-kwal) is in hierdie studie ge"implementeer ten einde die moontlike verband tussen emosionele intelligensie, studie-orientasie in wiskunde en die middel-adolessent se wiskundeprestasie te ondersoek en te beskryf. Altesaam 435 leerlinge in graad 9 en 11 aan die drie Engelsmedium-hoerskole in die Mafikeng area het aan die studie deelgeneem. Die kwantitatiewe komponent van die studie het bestaan uit die implementering van twee gestandaardiseerde vraelyste. Leerders is gevra om 'n El-vraelys, naamlik die Bar-On EQ-i: YV™ en die Studieorientasievraelys in Wiskunde (SOW) te voltooi. Kwalitatiewe tegnieke wat in hierdie studie ge"implementeer is, sluit in fokusgroeponderhoude, observasie, veldnotas en die gebruik van 'n reflektiewe joernaal. Daar is een fokusgroeponderhoud by elk van die drie deelnemende skole gevoer om die leerders wat aan die navorsing deelgeneem het se menings en opinies rakende wiskunde en wiskundeprestasie te peil. Die resultate het aangedui daarop dat 'n kombinasie van die fasette van emosionele intelligensie en die dimensies van studie-orientasie as moontlike voorspellers van die middel-adolessent se wiskundeprestasie beskou kan word. Die volgende Elkomponente het as voorspellers van wiskundeprestasie na vore getree: Algemene gemoedstoestand, Aanpasbaarheid en lntrapersoonlike gedrag. Die volgende SOW dimensies was voorspellers van wiskundeprestasie: Probleemoplossing, Studiegewoontes, lnligtingverwerking en Wiskundeangs. Temas wat uit die kwalitatiewe aspek van my studie na vore getree het as moontlik bydraend tot leerders se ontoereikende wiskundeprestasie, verwys spesifiek na uitdagings op makro-, meso- en mikrovlak binne die Suid-Afrikaanse konteks. ENGLISH : There is both internationally and nationally great concern about the poor achievement of learners in mathematics. Inadequate performance in mathematics is a substantial problem in post-apartheid South Africa. Numerous studies have been undertaken to explain this phenomenon, since mathematics achievement is of cardinal importance to any developing country. Research has shown inter alia that mathematics achievement at school is one of the best predictors of success at tertiary level and that there is a statistically significant correlation between mathematics achievement and aspects of study orientation in mathematics (including study habits, mathematics anxiety, attitude towards mathematics, effective time management, parents' expectations, learners' social world and mathematics experience). Various other factors also affect mathematics achievement, including competence, interest, learners' background and the quality of tuition. Over the past 20 years, researchers have focused on issues such as the impact of social, cognitive and metacognitive, conative and affective facets on achievement in mathematics. The aim of this study was to examine the facets of emotional intelligence and the dimensions of study orientation in mathematics that might play a role in the mathematics achievement of the middle adolescent. The study focused especially on the nature of emotional intelligence and study orientation in mathematics, the nature and meaning of mathematics achievement, the extent to which (a combination of facets of) emotional intelligence and study orientation predict(s) the mathematics achievement of middle-adolescents and also compared the performance of the different language, gender and grade groups (represented in this study). The study was based on a socio-constructivist paradigm, which had developed from the interpretivist paradigm. Both quantitative and qualitative data-gathering techniques (QUAN-qual) were implemented so as to examine and describe the possible relationship between emotional intelligence, study orientation in mathematics and the mathematics achievement of the middle adolescent. Altogether 435 learners in Grades 9 and 11 from the three English medium high schools in the Mafikeng region took part in the study. The quantitative component of the study comprised the implementation of two standardised questionnaires. Learners were asked to complete an El questionnaire, the Bar-On EQ-i: YV™, and the Study Orientation Questionnaire in Mathematics (SOM). Qualitative techniques implemented in the study included focus group interviews, observation, field notes, and the use of a reflective journal. One focus group interview was conducted at each of the three participating schools to gauge the views and opinions of learners participating in the research on mathematics achievement. The results indicated that a combination of the facets of emotional intelligence and the dimensions of study orientation could be considered potential predictors of the middle adolescent's mathematics achievement. The following EI components also emerged from the results as predictors of mathematics achievement: General mood, Adaptability and Intrapersonal behaviour. The following SOM dimensions were predictors of mathematics achievement: Problem-solving behaviour, Study habits, Information processing and Mathematics anxiety. Themes that emerged from the qualitative aspect of my study as potential contributors to learners' inadequate mathematics achievement refer specifically to challenges at the macro, meso and micro level within the South African context. / Thesis (PhD)--University of Pretoria, 2012. / Educational Psychology / unrestricted

Mathematics achievement has been of great concern to researchers involved in mathematics education. This concern has resulted in research seeking to determine for example, the factors that positively or negatively contribute to student performance in mathematics. Many of the reported studies in the literature have investigated the factors within the context of mathematics teaching and learning in general. Very few studies have investigated the factors contributing to student achievement in mathematics when learning takes place in a computer aided environment. With the pervasiveness of computers in education in general, studies in this direction become imperative. The present study fills this gap in the literature by examining the extent to which selected variables (mathematics attitude, mathematics aptitude, computer attitude, computer prior experience, computer ownership, proficiency in language of instruction, and learning style) contribute to students' achievements in pre-calculus algebra classes that are supplemented with a computer lab program. The participants in the study were 120 students sampled from the population of students enrolled in the second pre-calculus algebra course at the preparatory year program of King Fahd University of Petroleum & Minerals during the 2003/2004 academic session. The instruments used to measure the study constructs were the mathematics attitude scale (Aiken, 1979), the computer attitudes scale (Loyd & Gressard, 1984a), and the learning styles questionnaire (Honey & Mumford, 1992). New instruments to measure computer prior experience and computer ownership were developed for the present study. Hypotheses formulated for the study were tested using multiple regression and other statistical techniques. The results show that mathematics aptitudes and English language proficiency are the most significant contributors to students' mathematics achievement. No other variables show statistically significant effects on students' achievement. Together, the selected variables explain more than 41 percent of the total variance of students' achievement. Theoretical and policy-making implications of the results are outlined and discussed. / Mathematical Sciences / D. Phil. (Mathematics, Science and Technology Education)

Mathematics achievement has been of great concern to researchers involved in mathematics education. This concern has resulted in research seeking to determine for example, the factors that positively or negatively contribute to student performance in mathematics. Many of the reported studies in the literature have investigated the factors within the context of mathematics teaching and learning in general. Very few studies have investigated the factors contributing to student achievement in mathematics when learning takes place in a computer aided environment. With the pervasiveness of computers in education in general, studies in this direction become imperative. The present study fills this gap in the literature by examining the extent to which selected variables (mathematics attitude, mathematics aptitude, computer attitude, computer prior experience, computer ownership, proficiency in language of instruction, and learning style) contribute to students' achievements in pre-calculus algebra classes that are supplemented with a computer lab program. The participants in the study were 120 students sampled from the population of students enrolled in the second pre-calculus algebra course at the preparatory year program of King Fahd University of Petroleum & Minerals during the 2003/2004 academic session. The instruments used to measure the study constructs were the mathematics attitude scale (Aiken, 1979), the computer attitudes scale (Loyd & Gressard, 1984a), and the learning styles questionnaire (Honey & Mumford, 1992). New instruments to measure computer prior experience and computer ownership were developed for the present study. Hypotheses formulated for the study were tested using multiple regression and other statistical techniques. The results show that mathematics aptitudes and English language proficiency are the most significant contributors to students' mathematics achievement. No other variables show statistically significant effects on students' achievement. Together, the selected variables explain more than 41 percent of the total variance of students' achievement. Theoretical and policy-making implications of the results are outlined and discussed. / Mathematical Sciences / D. Phil. (Mathematics, Science and Technology Education)