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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

Breeding of unique game requires a balance between conservation and sustainable use
2014-05-20

 

Game bred for qualities such as unconventional hair colour or horn quality, may on the long term have unexpected consequences for biodiversity and game farming.

This is according to the inaugural lecture of Prof Paul Grobler from the Department of Genetics at the University of the Free State (UFS).

Prof Grobler feels that the consequences of selective breeding should be examined carefully, as there is currently much speculation on the subject without sound scientific information to back it.

“At the moment, colour variation invokes much interest among game farmers and breeders. Unusual colour variants are already available in different game species. These unusual animals usually fetch much higher prices at auctions compared to prices for the ‘normal’ individuals of the species.”

Examples of these unusual variants are springbuck being bred in white, black or copper colours, the black-backed or ‘saddleback’ impala, and the gold-coloured and royal wildebeest.

A black-backed impala was recently sold for R5,7 million.

“Based on genetic theory, good reason exists why these practices need to be monitored, but one should also take care not to make the assumption that selective breeding will inevitably lead to problems,” warns Prof Grobler.

Grobler says that negative characteristics in a species can sometimes unwittingly be expressed during the selection process for a unique colour. “It is seen, for example, in purebred dogs where the breeding of a new race sometimes brings underlying genetic deviations in the species to the front.” He also believes that some of these animals may not be able to adapt to changing environmental conditions.

“However, one should also look at the positive side: because of the good demand for game, including unusual variants, there is much more game in South Africa today than in many decades. Balance should be found between the aims of conservation and the sustainable utilisation of game.”

Research at the UFS’s Department of Genetics is now trying to establish the genetic effects of intensive game breeding and predict the impact on biodiversity.

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