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Item Contextual decolonisation of higher education in South Africa(2019-03-01) Kehdinga George Fomunyam; Matola, Noluthando; Moyo, Sibusiso; Govender, Vaneshree; Fomunyam, Kehdinga GeorgeItem Transforming the teaching and learning process in South African higher institutions(Horizon Research Publishing Co., Ltd., 2022) Matola, Noluthando; Fomunyam, Kehdinga George; Moyo, SibusisoTeaching and learning is a complex process, which deals with different individuals with different expectations from diverse backgrounds, with different cultural and social capital involved in this process. The teaching and learning process in most South African institutions of higher learning has been plagued by several challenges over the last decade. In this research, the experiences of international postgraduate student lecturers teaching at a university in KwaZulu-Natal were examined. Utilizing the curricular spider web as its framework, it evaluates the experiences of international students lecturing at a university in KwaZulu-Natal, in order to identify the challenges faced by students in this institution during the teaching and learning process, and create a transformation path that can be adopted by other South African institutions of higher learning. This framework utilizes ten different components, each answering some key questions, and all stemming from the rationale for teaching and learning. Using a qualitative case study approach, this research conducted semi-structured interviews involving six participants who were pursuing different postgraduate degrees at the University. Interviews with each participant were conducted in English, lasted about 60 minutes each, and were digitally recorded and transcribed afterwards. Data were analyzed using an open coded process and findings reveal that transforming the teaching and learning process at these institutions of higher learning will largely involve making major changes to the curriculum content, learning activities, and learning resources.Item Message for the Special Issue : undergraduate research, scholarship, and creative inquiry(Durban University of Technology, 2022) Vahed, Anisa; Walkington, Helen; Shanahan, Jenny; Moyo, SibusisoAcademic and professional practice development is taking an ever-more dominant role in higher education and is evolving through undergraduate research, scholarship, and creative inquiry (URSCI) in the undergraduate curriculum, particularly in courses involving interdisciplinary and multidisciplinary modules/subjects. Such courses are critical to engaging students in more meaningful and deeper learning experiences and enabling them to experience real-world issues, all while developing various disciplinary and professional skills as part of both a specific content area and more general competencies. By developing and enhancing URSCI skills, graduates from higher education institutions gain the agility to adapt to changes in the world. Inter- and multi-disciplinary approaches are required to tackle global challenges such as climate change, food security, and public health. Such engagements and experiences are particularly important as employers increasingly expect graduates to have higher-order literacies and communication skills in addition to their discipline-specific knowledge. This special issue, therefore, presents original work and nuanced ways that faculties around the world actively engage students in URSCI.Item Symmetry properties of autonomous integrating factors(SIGMA (Symmetry, Integrability and Geometry: Methods and Application), 2005) Moyo, Sibusiso; Leach, P.G.L.We study the symmetry properties of autonomous integrating factors from an algebraic point of view. The symmetries are delineated for the resulting integrals treated as equations and symmetries of the integrals treated as functions or configurational invariants. The succession of terms (pattern) is noted. The general pattern for the solution symmetries for equations in the simplest form of maximal order is given and the properties of the associated integrals resulting from this analysis are given.Item The role of international academic professionals in the development of entrepreneurial universities in South Africa : Government funded universities perspective(Open Journal Systems, 2018-10) Mutanda, Mary; Lekhanya, Lawrence Mpele; Moyo, SibusisoThere is a wide belief and acceptance from leading government and business experts that small enterprises and entrepreneurship are the key components to unemployment and poverty alleviation in any country. Unfortunately, high unemployment levels, low entrepreneurial activity and high small business failure rate have become the main characteristics of the South African economy. Post-school education is partially blamed for the dropping levels of entrepreneurial activities in the country. South Africa’s tertiary education system continues to focus on producing job-seekers instead of job creators. This problem has forced South African Universities to explore more on their potential of becoming more entrepreneurial, but lack of academics in the field of entrepreneurship has been found to be a hindrance to success in this agenda. To avert this obstacle, it is reiterated that internationalisation is key to any university entrepreneurship strategy, and therefore universities are encouraged to internationalise through attracting international entrepreneurial staff. The purpose of this literature review paper is twofold. The first part explores the role played by international academic professionals in the establishment of entrepreneurial universities in South Africa, while the second aims at evaluating the state of entrepreneurship development in higher education and the potential of South African universities becoming more entrepreneurial. The study employs both quantitative and qualitative research techniques (mixed method). The study reveals that South African universities should internationalise if they are to succeed in the entrepreneurial strategy. In addition, it is found that foreign academics have the required skills and bring in the diverse expertise needed for the establishment of entrepreneurial universities. Moreover, the presence of international academics has enhanced entrepreneurship mindset of local staff and students. It is recommended that universities should establish entrepreneurial institutes which are affiliated to them in order to drive this initiative and that the establishment of entrepreneurial universities is the way to go in South Africa if the country is to beat poverty and unemployment.Item Complete group classification of systems of two nonlinear second-Order ordinary differential equations of the form y′′=F(y)(Elsevier, 2017-03) Oguis, Giovanna Fae Ruiz; Moyo, Sibusiso; Meleshko, S. V.Extensive work has been done on the group classification of systems of equations in the literature. This paper identifies the gap in the literature which concerns the group classification of systems of two nonlinear second-order ordinary differential equations. We provide a complete group classification of systems of two ordinary differential equations of the form, which occur in many physical applications using two approaches which form the essence of this paper.Item On group classification of normal systems of linear second-order ordinary differential equations(Elsevier, 2015-05) Moyo, Sibusiso; Meleshko, Sergey; Oguis, Giovanna Fae RuizIn this paper we study the general group classification of systems of linear second-order ordinary differential equations inspired from earlier works and recent results on the group classification of such systems. Some interesting results and subsequent theorem arising from this particular study are discussed here. This paper considers the study of irreducible systems of second-order ordinary differential equations.Item On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients(Elsevier, 2014) Meleshko, Sergey; Moyo, Sibusiso; Oguis, Giovanna Fae RuizThe completeness of the group classification of systems of two linear second-order ordinary differential equations with constant coefficients is delineated in the paper. The new cases extend what has been done in the literature. These cases correspond to the type of equations where the commutative property of the coefficient matrices with respect to the dependent variables and the first-order derivatives in the considered system does not hold. A discussion of the results as well as a note on the extension to linear systems of second-order ordinary differential equations with more than two equations are given.Item On first integrals of second-order ordinary differential equations(Springer, 2013-01-08) Meleshko, Sergey; Moyo, Sibusiso; Muriel, C.; Romero, J. L.; Guha, P.; Choudhury, A. G.Here we discuss first integrals of a particular representation associated with second-order ordinary differential equations. The linearization problem is a particular case of the equivalence problem together with a number of related problems such as defining a class of transformations, finding invariants of these transformations, obtaining the equivalence criteria, and constructing the transformation. The relationship between the integral form, the associated equations, equivalence transformations, and some examples are considered as part of the discussion illustrating some important aspects and properties.Item Preface to the special issue on the tercentenary of the Laplace–Runge–Lenz vector(Springer, 2012-10-30) Maharaj, S. D.; Moyo, Sibusiso; Popovych, R.