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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

What do diamonds, chocolates, bugs and almost 30 Nobel Prizes have in common? Crystallography
2014-10-15

 

Some of the keynote speakers and chairpersons at the third world summit in the International Year of Crystallography (in Africa) were, from the left, front: Profs Abdelmalek Thalal (Morocco), Prosper Kanyankogote (University of Kinshasa, Democratic Republic of the Congo); Habib Bougzala (Tunisia), Santiago Garcia-Granda (IUCr, University Oviedo, Spain), Michele Zema (IYCr 2014, Italy/UK) and Dr Jean-Paul Ngome-Abiaga (UNESCO, Paris, France); back: Dr Thomas Auf der Heyde (Acting Director-general, South African Department of Science and Technology); Dr Petrie Steynberg (SASOL) and Prof André Roodt (UFS, host).

Photo: Marija Zbacnik
The third world summit in the International Year of Crystallography (in Africa) was hosted by Prof André Roodt, Head of the Department of Chemistry and President of the European Crystallographic Association,  at the University of the Free State in Bloemfontein.

A declaration with and appeal to support crystallography and science across Africa, was signed.

When one mentions 'Crystallography', or more simply 'crystals', what comes to mind? Diamonds? Perhaps jewellery in general? When thinking of crystals and Crystallography, you will need to think much bigger. And further – even to Mars and back.

Crystallography refers to the branch of science that is concerned with structure and properties of crystals. The obvious examples would include cut diamonds, gemstones such as amethysts, and ‘simple’ crystals such as selenite and quartz.

But have you thought about the irritating brown scales at the bottom of your kettle? The sand in your shoes? The salt over your lamb chops or the sugar in your coffee? All crystals. From egg shells to glucose, from bugs and insecticides to additives in food – even the compounds in chocolate – all fall under the close scrutiny of Crystallography.

The breakthroughs this field of science has produced have led to almost 30 Nobel Prizes over the years.

Determining the structure of DNA by crystallography was arguably one of the most significant scientific events of the 20th century. Different diseases have been cured or slowed by medicines obtained based on crystallographic studies. These include certain cancers, HIV/Aids, Tuberculosis and Malaria. Biological Crystallography enables the development of anti-viral drugs and vaccines.

This field of science influences our daily lives in virtually immeasurable ways. Here are but a few areas of study and development Crystallography contributes to:

•    LCD displays;
•    cellular smartphones;
•    insects and insecticides;
•    additives and products in foods;
•    improved effectiveness and security of credit cards;
•    new materials to preserve energy;
•    better gasoline with less by-products;
•    identify colour pigments used in paintings from the old masters, indicating if it’s an original or an imitation; and
•    beauty products such as nail polish, sun-block, mascara and eye shadow.

Crystallography is also currently used by the Curiosity Rover to analyse the substances and minerals on Mars.

Crystals and Crystallography form an integrated part of our daily lives – from bones and teeth to medicines and viruses, from chocolates to the blades in airplane turbines. Even down to the humble snowflake.


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