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07 September 2018 Photo Stephen Collett
Mathematician makes popular contribution to science Prof Atangana
Prof Atangana is the first African under 40 years of age to be selected as African Academic of Science affiliated in Mathematics. He recently delivered his inaugural lecture and is pictured with Eelco Lukas, Director of the Institute for GroundwaterStudies at the UFS (middle) and Prof Hendri Kroukamp, Acting Vice-Rector: Academic

Prof Abdon Atangana, researcher in the Institute for Groundwater Studies at the University of the Free State (UFS), recently delivered his inaugural lecture on the topic: Understanding God’s Nature with Non-Local Operators.

His research interests are methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Prof Atangana is the founder of the fractional calculus with non-local and non-singular kernels popular in applied mathematics today. He has introduced more than 12 mathematical operators, most of which bear his name (such as the Atangana-Baleanu fractional integral).

He stated: “We will not stop until we change the classical view of doing mathematics. Mathematics is not a subject but a tool given to mankind by God to understand nature. One single mathematical operator cannot portray God’s nature accurately. Therefore the Atangana Baleanu was suggested.”

New weapons

Most physical problems can be expressed in terms of mathematical formulations called differential equations. According to him the differential equation’s aim is to analyse, understand, and predict the future of a physical problem. Prof Atangana introduced the Atangana-Baleanu fractional integral. This brought new weapons into applied mathematics to model complex real-world problems more accurately.

Prof Atangana explained: “The Atangana-Baleanu fractional derivative is able to describe real-world problems with different scales, or problems that change their properties during time and space for instance, the spread of cancer, the flow of water within heterogeneous aquifers, movement of pollution within fractured aquifers, and many others. This crossover behaviour is observed in many empirical systems.”

Sudden change

The Atangana-Baleanu fractional derivative is also able to describe physical or biological phenomena, such as a heart attack, the physiological progression from life to death, structural failure in an aeroplane, and many other physical occurrences with sudden change with no steady state.

The new differential and integral operators are nowadays in fashion and are being applied with great success in many fields to model complex natural phenomena. It is believed that the future of modelling complex real-world problems relies on these non-local operators.

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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