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03 October 2018 | Story UFS | Photo Stephen Collett
Using ethnomathematics to enhance understanding maths
An ethnomathematical approach helps to create a connection between mathematics in the classroom and the real world, said Prof Mogege Mosimege during his inaugural lecture.

The integration of ethnomathematical approaches and studies in the teaching and learning of mathematics is almost certainly bound to change how learners view and understand mathematics. It is the opinion of Prof Mogege Mosimege of the School of Natural Sciences and Technology Education in the Faculty of Education at the University of The Free State (UFS), where Prof Mosimege delivered his inaugural lecture.

His research interests include sociocultural contexts in mathematics education (ethnomathematics), mathematical modelling; indigenous knowledge systems and mathematics teacher education.

Classroom maths must connect real world 

He says an ethnomathematical approach does not only serve as a sound basis for a deeper conceptual understanding, but it also helps to create a connection between mathematics in the classroom and the real world.

Prof Mosimege says the foundation phase of the South African school mathematics curriculum indicates, amongst others, that there must be a critical awareness of how mathematical relationships are used in social, environmental, cultural and economic relations, and that there must be a deep conceptual understanding in order to make sense of mathematics.

"I want to argue the current curriculum does not give enough space for that," he says. "The minute you say deep conceptual understanding you must do things differently and not just teach formulae, but also teach why things work the way they do."

Prof Mosimege says the classroom activities teachers engage in must be able to push learners to that deep understanding phase.

He says even at the Further Education and Training Phase real-life problems should be incorporated into all mathematical sections whenever appropriate.

Teachers need to make maths real


"Contextual problems should include issues relating to health, social, economic, cultural, scientific, political and environmental issues whenever possible."

 If done this way teachers will make mathematics to become real. "It will perhaps not be as abstract as it is perceived, and will help our learners and students to understand why it is important to relate what they do to real life."

Prof Mosimege says his future work would be to look past the phase of focusing strictly on procedural aspects of mathematics and look further at an ethnomathematics bridge to mathematical modelling, which is his next area of research. He says the definitions of ethnomathematics suggest that mathematical concepts and processes would be more comfortable and better understood by the learner when they are related to sociocultural contexts as well as real-life situations.

"How can we use ethnomathematics to do problem-solving?" he asks. 

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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