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30 November 2021 | Story Leonie Bolleurs | Photo Supplied
Prof Johan Meyer, Senior Professor in the Department of Mathematics and Applied Mathematics, says he is looking forward to learning from others in the field during this collaboration.

What do trees, black holes, earthquakes, and time structures have in common? 

The answer to this question is that these, in one way or the other, form the focus of some of the abstracts delivered during the Annual Congress of the South African Mathematical Society. The society has as its main objective the advancement of mathematics in South Africa. 

The Department of Mathematics and Applied Mathematics at the University of the Free State (UFS), in conjunction with the South African Mathematical Society (SAMS 2021), is hosting the 64th Annual Congress of the society this week (29 November to 1 December 2021).

Prof Johan Meyer, Senior Professor in the department, says the congress, which is being conducted online, is focusing on all aspects of mathematics research, including history and teaching.

Learning from others in the field

The congress, which aims to share the latest research results in mathematics, will be attended by staff and students from universities across South Africa as well as abroad. “Anyone from the public is, of course, welcome to attend or even share their results if they are also involved in mathematics research,” adds Prof Meyer. 

He says that he is looking forward to learning from others in the field during this collaboration. 

The congress will include discussions on more than 120 abstracts, covering category theory, algebra, topology, logic; functional analysis and operator theory; finite groups and combinatorial structures; graph theory and combinatorics; lie symmetries and nonlinear differential equations; and applied and numerical mathematics.

Array of interesting topics presented

“It is important in many areas of science and engineering to predict and to simulate rare, random events, the occurrence of which may have negative or even catastrophic consequences. Examples include internet server overflows, mechanical breakdowns, floods, and financial crashes. Rare events can also have a positive effect, triggering for example chemical reactions or driving genetic evolution via random mutations.” Prof Hugo Touchette from Stellenbosch University will be shedding some light on this interesting topic in his presentation on Predicting and simulating rare events.

Prof Jeandrew Brink, Associate Professor in the Department of Mathematics and Applied Mathematics at the UFS, is presenting a plenary session on the topic Determining the geometry of strong field space-times in spite of tacitly assuming the answer during every measurement. In South Africa, state-of-the art pulsar timing data from the MeerKAT telescope will make a considerable contribution to conducting GR orbital tests. Prof Brink comments on how pulsar timing tests differ from tests using gravitational wave detectors, as well as what we can learn from the framework already employed to perform pulsar timing measurements.

News Archive

An education system based on hope is what South Africa needs – Dr Beryl Botman
2016-05-26

Description: Hope revised Tags: Hope revised

Dr Beryl Botman, a postdoctoral research
fellow at the IRSJ, with Dr Willy Nel research associate
at the IRSJ and lecturer at the UFS
Faculty of Education.

HOPE is tangible and concrete construct that should be rooted in the learning and training of teachers,” said Dr Beryl Botman, a postdoctoral research fellow at the Institute for Reconciliation and Social Justice (IRSJ).

She presented her research paper Educators, praxis, and hope: A philosophical analysis of post-apartheid teacher education policy, based on the theoretical ideologies of Paulo Freire’s Pedagogy of the Oppressed. She explores ways in which oppression has been justified, and how it has been overcome through a mutual process between the oppressor and the oppressed, drawing on Paolo Freire’s theories and practices. The presentation was held at the University of the Free State’s (UFS) Faculty of Education, on the Bloemfontein campus on 13 May 2016.

From oppression to hope

Hope should be an educational construct for teacher education in South Africa. Dr Botman asserts that epistemology and ontology should be inseparable, as they are pivotal to an education system that is transformational.

The recent country-wide student protests and demonstrations are an indicant that education institutions need to seek understanding of mechanisms that fuel social conflict. Dr Botman claims that vast social inequalities make the process of democratisation difficult thus hindering transformation. She states that a critical consciousness is important for all South Africans, but more so for educators; it can be used as a tool to understanding the mechanisms of social conflict.

“Self-reflection and self-critique is vital for educators, we need to understand that we do not have all the answers because we ever-evolving beings, working on understanding ourselves and the people around us,” said Dr Botman.

The notion of hope
“I am a farmer. I have no hope for a future that is different from today. This quotation comes from Paulo Freire’s work," said Dr Botman. She said that the South African context and environment is similar. She said that people cannot live for today; one should live for tomorrow if hope is to manifest itself.

South African education environment needs to adopt a progressive consciousness that is future orientated, “You need to be hopeful, if you are radical. You need to be able to envision a new society and a new world,” said Dr Botman.

“You cannot only denounce the present, you need to also announce your hopes for a new society. South Africa needs education systems built on understanding. Although change is difficult, it is necessary for transformation,” Dr Botman added.

What makes hope educational?
“Hope is a vision for a tomorrow that is different, and vital for a transformative education system. To get out of a state of despair, people need to educate their hope. Lately, the issue of white privilege has been brought to the fore. You need to educate your hope, so that you understand the reality of others but, more importantly, of yourself,” said Dr Botman.

Dr Botma added that teacher education needs to adopt a Freirean pedagogy with a strong philosophy based on hope. The agency of teachers can either be hopeful or without hope. It is vital that education promotes hope.

“Teachers need to rely on their existential experience, the experiences of others, and the experiences of the children or students they teach. An understanding of all these experience reinforces the idea that people are life-long learners, always learning and adapting to society’s needs,” said Dr Botman.

Teachers as agents of hope

Dr Botman stated that current South African education policy is directed towards transformation but it does not stipulate means to achieve this objective. Further, she argues that educators need to put greater emphasis on self-knowledge, self-reflection, and self-education. Connecting with teachers, parents, students and the community engages with their self-knowledge and reflection.

Reorientation of teacher education
Dr Botman concluded by mentioning that rethinking ontological and epistemological aspects of education is important, and should be a pivotal point of teacher education. A renewed vision of hope-orientated philosophy and pedagogy needs to be adopted by the education institutions. A praxis, which is an informed action, when a balance between theory and practice is achieved. There is a need for an inclusive exploration of education philosophies and education systems not only European and Western but also African and Eastern as well.

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