Browsing Doctoral Degrees (Mathematics and Computer Science Education) by Title
Now showing items 1332 of 56

Embedding theorems and finiteness properties for residuated structures and substructural logics
(2008)Paper 1. This paper establishes several algebraic embedding theorems, each of which asserts that a certain kind of residuated structure can be embedded into a richer one. In almost all cases, the original structure has a ... 
Evolving dynamic fitness measures for genetic programming.
(2018)This research proposes dynamic fitness measure genetic programming (DFMGP). DFMGP modifies the conventional genetic programming (GP) approach: rather than applying a single fitness measure individually throughout GP, a ... 
Exact models for radiating relativistic stars.
(2007)In this thesis, we seek exact solutions for the interior of a radiating relativistic star undergoing gravitational collapse. The spherically symmetric interior spacetime, when matched with the exterior radiating Vaidya ... 
Examining computerbased technology skill and academic performance of students in Nigerian universities.
(2019)The introduction of blended learning into facetoface classroom teaching and learning has made traditional education more simple, flexible and customised to students’ expectations. This study examined computerbased ... 
An exploration of General Education and Training (GET) teachers’ mathematical knowledge and its influence on the quality of instruction in the teaching of functions.
(2020)This thesis documents a study of the General Education and Training teachers’ mathematical knowledge of functions and what this knowledge brings to the quality of instruction. The study made use of Variation Theory and ... 
An exploration of preservice teachers use of visualization when teaching and solving problems in the mathematics classroom.
(2020)One of the objectives of mathematics instruction, according to the Department of Education (DoE) in South Africa, and elsewhere globally, is to prepare learners to become proficient in mathematics problem solving. There ... 
An exploration of preservice teachers’ Mathematics knowledge for teaching in Trigonometry at a higher education institution.
(2020)This study investigates the extent of finalyear preservice teachers’ understanding and development of the mathematics knowledge for teaching in trigonometry. Teachers’ lack of adequate mathematics knowledge to teach ... 
An exploration of the teaching and learning of Information Technology (IT) programming in a higher education institution in KwaZuluNatal (KZN)
(2019)In this study, classic grounded theory, threshold concepts, selfstudy and practitioner research capture the processes of Information Technology (IT) academics who teach computer programming to firstyear IT students at a ... 
Exploring grade five learners’ perceptions on the use of technology when learning fractions in one grade five class in the iLembe District of KwazuluNatal, South Africa.
(2020)Teaching and learning that incorporates the use of a digital device is becoming popular at institutions of learning all around the globe. This research study examined the perceptions of one class of Grade 5 learners on the ... 
Exploring inservice Zimbabwean mathematics teachers’ preparedness to incorporate ethnomathematics approaches to geometry teaching and learning.
(2018)Geometry teachers and learners in Zimbabwe come from a wide range of cultural and social backgrounds. This provides opportunities and challenges in the teaching and learning of geometry. The wide variety of cultural and ... 
Exploring master teachers' use of visuals as tools in mathematical classrooms.
(2011)The teaching and learning of mathematics has presented a great challenge for mathematics educationalists over many decades. Researchers have been searching for new strategies and techniques for improving the understanding ... 
Exploring mathematical activities and dialogue within a preservice teachers’ calculus module: a case study.
(2018)Local and international research findings have shown that high school learners, university students, as well as some of the practicing educators, struggle with calculus. The large numbers of unqualified or underqualified ... 
Exploring teachers’ instructional practices, confidence and beliefs in teaching mathematics and statistics.
(2018)An important contributor to the quality of teaching mathematics is the knowledge of mathematics teachers. In this study, I explore mathematics teachers’ instructional practices, their confidence and beliefs about the ... 
Exploring teachers’ understanding of pedagogic practices in teaching mathematical concepts in grade 1: a case study in South African primary schools.
(2016)The study examines teachers’ understanding of their learning theories on pedagogic practices in teaching mathematical concepts in Grade 1. The study emanates from the findings of the National Education Evaluation and ... 
Exploring university students' mental constructions of the limit concept in relation to sequences and series.
(2019)The present thesis refers to some first semester calculus 1 university students’ mental constructions of the limit concept in relation to sequences and series. A plethora of research on the limit concept is available and ... 
Firstyear engineering students' concept development of integral calculus at a South African university of technology.
(2015)This thesis reports on a study to explore the development of the concept of integration among the first year engineering students at a South African university of technology. The study focused on concept definitions that ... 
FischerClifford matrices of the generalized symmetric group and some associated groups.
(2005)With the classification of finite simple groups having been completed in 1981, recent work in group theory has involved the study of the structures of simple groups. The character tables of maximal subgroups of simple ... 
FischerClifford theory for split and nonsplit group extensions.
(2001)The character table of a finite group provides considerable amount of information about the group, and hence is of great importance in Mathematics as well as in Physical Sciences. Most of the maximal subgroups of the finite ... 
Graph and digraph embedding problems.
(1996)This thesis is a study of the symmetry of graphs and digraphs by considering certain homogeneous embedding requirements. Chapter 1 is an introduction to the chapters that follow. In Chapter 2 we present a brief survey ... 
The history of mathematics as a pedagogical tool: exploring learner perspectives with regard to the theorem of pythagoras.
(2017)This study sought to ascertain whether the inclusion of the history of the Theorem of Pythagoras has any positive influence on learners’ perceptions of the theorem and its applications, on geometry and on mathematics in ...