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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

UFS study shows playing time in Super Rugby matches decreasing
2016-12-19

Description: Super Rugby playing time Tags: Super Rugby playing time 

The study by Riaan Schoeman, (left), Prof Robert Schall,
and Prof Derik Coetzee from the University of the Free State
on variables in Super Rugby can provide coaches with
insight on how to approach the game.
Photo: Anja Aucamp

It is better for Super Rugby teams not to have the ball, which also leads to reduced overall playing time in matches.

This observation is from a study by the University of the Free State on the difference between winning and losing teams. Statistics between 2011 and 2015 show that Super Rugby winning teams kick more and their defence is better.

These statistics were applied by Riaan Schoeman, lecturer in Exercise and Sport Sciences, Prof Derik Coetzee, Head of Department: Exercise and Sport Sciences, and Prof Robert Schall, Department of Mathematics and Actuarial Sciences. The purpose of the study, Changes in match variables for winning and losing teams in Super Rugby from 2011 to 2015, was to observe changes. Data on 30 games (four from each team) per season, supplied by the Cheetahs via Verusco TryMaker Pro, were used.

About two minutes less action
“We found that the playing time has decreased. This is the time the ball is in play during 80 minutes,” says Schoeman. In 2011, the average playing time was 34.12 minutes and in 2015 it was 31.95.

“The winning team has less possession of the ball and doesn’t want it. They play more conservatively. They dominate with kicks and then they play,” says Prof Coetzee, who was the conditioning coach for the Springboks in 2007 when they won the World Cup.

Lineouts also more about kicking
As a result, the number of line-outs also increased (from 0.31 per minute in 2011 to 0.34 in 2015) and the winning teams are better in this regard.

“The winning team has less possession of the ball
and doesn’t want it. They play a more conservative
game. They dominate with kicks and then they play.”

Schoeman believes that rule changes could also have contributed to reduced playing time, since something like scrum work nowadays causes more problems. “When a scrum falls, the time thereafter is not playing time.”

According to Prof Coetzee, rucks and mauls have also increased, (rucks from 2.08 per minute in 2011 to 2.16 in 2015 and mauls from 0.07 per minute in 2011 to 0.10 in 2015). “The teams that win, dominate these areas,” he says.

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