Doctoral Degrees (Mathematics and Computer Science Education)
Recent Submissions

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 ... 
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 ... 
A symptotic and blowup dynamics of kellersegel chemotaxis equations in scale of banach spaces.
(2015)Abstract available in PDF File. 
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 ... 
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 ... 
Convective heat and mass transfer in boundary layer flow through porous media saturated with nanofluids.
(2016)The thesis is devoted to the study of flow, heat and mass transfer processes, and crossdiffusion effects in convective boundary layer flows through porous media saturated with nanofluids. Of particular interest is how ... 
The pedagogical content knowledge (PCK) of Rwandan grade six mathematics teachers and its relationship to student learning.
(2017)Abstract available in PDF file. 
Mathematics for future engineers : a study of teaching and learning mathematics in an engineering curriculum.
(2014)This is a study of teaching and learning in the first mathematics module for engineering students at a South African university. The theoretical framing of the study is derived from multiple analytical tools: Bernstein’s ... 
Stellar structure and accretion in gravitating systems.
(2012)In this thesis we study classes of static spherically symmetric solutions to the Einstein and Einstein–Maxwell equations that may be used to model the interior of compact stars. We also study the spherical accretion of ... 
Normalitylike properties, paraconvexity and selections.
(2012)In 1956, E. Michael proved his famous convexvalued selection theorems for l.s.c. mappings de ned on spaces with higher separation axioms (paracompact, collectionwise normal, normal and countably paracompact, normal, and ... 
Linear codes obtained from 2modular representations of some finite simple groups.
(2012)Let F be a finite field of q elements and G be a primitive group on a finite set . Then there is a Gaction on , namely a map G ! , (g; !) 7! !g = g!; satisfying !gg0 = (gg0)! = g(g0!) for all g; g0 2 G and ... 
The role and use of sketchpad as a modeling tool in secondary schools.
(2004)Over the last decade or two, there has been a discernible move to include modeling in the mathematics curricula in schools. This has come as the result of the demand that society is making on educational institutions to ... 
Constructions and justifications of a generalization of Viviani's theorem.
(2013)This qualitative study actively engaged a group of eight preservice mathematics teachers (PMTs) in an evolutionary process of generalizing and justifying. It was conducted in a developmental context and underpinned by a ... 
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 ... 
Conformally invariant relativistic solutions.
(1993)The study of exact solutions to the Einstein and EinsteinMaxwell field equations, by imposing a symmetry requirement on the manifold, has been the subject of much recent research. In this thesis we consider specifically ... 
Conservation laws models in networks and multiscale flow optimization.
(2011)The flow of fluids in a network is of practical importance in gas, oil and water transport for industrial and domestic use. When the flow dynamics are understood, one may be interested in the control of the flow formulated ... 
Aspects of functional variations of domination in graphs.
(2003)Let G = (V, E) be a graph. For any real valued function f : V >R and SCV, let f (s) = z ues f(u). The weight of f is defined as f(V). A signed ksubdominating function (signed kSF) of G is defined as a function f : V > ... 
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 thermal SunyaevZel'dovich effect as a probe of cluster physics and cosmology.
(2010)The universe is a complex environment playing host to a plethora of macroscopic and microscopic processes. Understanding the interplay and evolution of such processes will help to shed light on the properties and evolution ...