Browsing Doctoral Degrees (Mathematics and Computer Science Education) by Title
Now showing items 120 of 73

A simulation modeling approach to aid research into the control of a stalkborer in the South African Sugar Industry.
(2008)The control of the African stalk borer Eldana saccharina Walker (Lepidoptera: Pyralidae) in sugarcane fields of KwaZuluNatal, South Africa has proved problematical. Researchers at the South African Sugarcane Research ... 
An algebraic study of residuated ordered monoids and logics without exchange and contraction.
(1998)Please refer to the thesis for the abstract. 
Amplitudeshape method for the numerical solution of ordinary differential equations.
(1997)In this work, we present an amplitudeshape method for solving evolution problems described by partial differential equations. The method is capable of recognizing the special structure of many evolution problems. ... 
Anisotropic stars in general relativity.
(2004)In this thesis we seek new solutions to the anisotropic Einstein field equations which are important in the study of highly dense stellar structures. We first adopt the approach used by Maharaj & Maartens (1989) to obtain ... 
An APOS analysis of the teaching and learning of factorisation of quadratic expressions in grade 10 mathematics classrooms.
(2021)The South African Curriculum and Assessment Policy Statements (CAPS) document, for the Further Education and Training Phase (FET) Mathematics Grades 1012 (2011) shows that the factorisation of algebraic quadratic expressions ... 
An APOS exploration of conceptual understanding of the chain rule in calculus by first year engineering students.
(2011)The main issue in this study is how students conceptualise mathematical learning in the context of calculus with specific reference to the chain rule. The study focuses on how students use the chain rule in finding derivatives ... 
The application of Rasch measurement theory to improve the functioning of a mathematics assessment instrument.
(2021)Assessment is an integral part of the teaching and learning process. Concerns about student performance in assessments often drive the teaching and learning. In South Africa there has been numerous concerns about poor ... 
Aspects of distance and domination in graphs.
(1995)The first half of this thesis deals with an aspect of domination; more specifically, we investigate the vertex integrity of ndistancedomination in a graph, i.e., the extent to which ndistancedomination ... 
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 > ... 
Coagulationfragmentation dynamics in size and position structured population models.
(2008)One of the most interesting features of fragmentation models is a possibility to breach 
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 ... 
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 ... 
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 ... 
Design model for integrating learning management systems and massive open online courses on a digital eLearning platform: implications for Zimbabwean universities.
(2019)Available affordances for learning provide opportunities for advanced technologyenhanced teaching and learning. Digital learning environments can make relevant learning content available to students using existing ... 
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 ...