Mathematics and Computer Science Education
Collections in this community
Recent Submissions
-
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 teachers’ scaffolding practices in the teaching of primary school mathematics at a school in Swaziland.
(2016)The purpose of this study was to explore participants’ scaffolding practices in the teaching of primary mathematics at a school in Swaziland. Scaffolding refers to all the assistance a more knowledgeable other provides to ... -
Exploring the teaching of statistics in grade 10.
(2016)The purpose of the study was to explore the teaching of statistics at Grade 10 level. A convenient sample of seven Grade 10 mathematics teachers participated in the study. The Department of Basic Education (DBE) has tried ... -
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 ... -
Explicit models for spherical static fluids in Einstein-Gauss-Bonnet gravity.
(2016)In this research, we explore modifications to the Einstein-Hilbert action by examining exact barotropic distributions in Einstein-Gauss-Bonnet gravity (EGB). We consider exact solutions of interior models in stars in ... -
Open-loop nash and stackelberg equilibrium for non-cooperative differential games with pure state constraints.
(2017)This dissertation deals with the study of non-cooperative di erential games with pure state constraints. We propose a rst order optimality result for the open-loop Nash and Stackelberg equilibriums solutions of an ... -
Pricing and hedging of defaultable claims in discontinuous market.
(2017)Credit risk has become one of the highest-pro le risk facing participants in the nancial markets. In this dissertation, we study the pricing and hedging of defaultable claim in a discontinuous market. Here, we present ... -
The pedagogical content knowledge (PCK) of Rwandan grade six mathematics teachers and its relationship to student learning.
(2017)Abstract available in PDF file. -
Mathematical modelling of tumour development during angiogenesis and treatment by anti-angiogenesis.
(2016)Abstract available in PDF file. -
On the numerical solution of fractional partial differential equations : an investigation of spectral methods.
(2017)Abstract available in PDF file. -
Using mathematical and economic epidemiology tools for modelling HIV infection in serodiscordant couples.
(2015)We investigate the appropriate strategies that reduce the HIV transmission rate amongst the serodiscordant married couples. In particular, we formulate two discrete sub-models, the formation of married serodiscordant ... -
Exploring pre-service teachers' mental constructions of matrix algebra concepts : a South African case study.
At the university where the study was conducted matrix algebra is one of the first advanced mathematics courses that pre-service teachers encounter. The transfer of knowledge from a primarily procedural or algorithmic ... -
Mathematics for future engineers : a study of teaching and learning mathematics in an engineering curriculum.
(2016-01-19)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 ... -
Modeling the burden of disease for cattle.
(2014)Summary measures of human population health (SMPH) represents approaches to measuring the burden of disease. These approaches are divided into two classes: health expectancies and health gaps. A health gap model approach ... -
Spanning trees : eigenvalues, special numbers, and the tree-cover ratios, asymptotes and areas of graphs.
(2014)This dissertation deals with spanning trees associated with graphs. The number of spanning trees of a graph can be found by considering the eigenvalues of the Laplacian matrix associated with that graph. Special classes ... -
On the existence of self-dual codes invariant under permutation groups.
(2014)Abstract available in PDF file. -
On minimal degrees of faithful permutation representations of finite groups.
(2014)Abstract available in PDF file. -
Connectedness and the hyperspace of metric spaces.
(2015)One of the prime motivations for studying hyperspaces of a metric space is to understand the original space itself. The hyperspace of a metric space X is the space 2X of all non-empty closed bounded subsets of it, endowed ... -
Mathematical modelling of drug resistance in malignant tumour treatment.
(2014)Resistance to conventional chemotherapies, especially to anti-cancer agents, is rapidly becoming a global pandemic. Mutations, in combination with genetic instabilities, play an important role in the molecular heterogeneity ... -
On decoupled quasi-linearization methods for solving systems of nonlinear boundary value problems.
(2015-06-10)In this dissertation, a comparative study is carried out on three spectral based numerical methods which are the spectral quasilinearization method (SQLM), the spectral relaxation method (SRM) and the spectral local ...
RSS 1.0