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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

Is milk really so well-known, asks UFS’s Prof. Osthoff
2011-03-17

Prof. Garry Osthoff
Photo: Stephen Collett

Prof. Garry Osthoff opened a whole new world of milk to the audience in his inaugural lecture, Milk: the well-known (?) food, in our Department of Microbial, Biochemical and Food Biotechnology of the Faculty of Natural and Agricultural Sciences.

Prof. Osthoff has done his research in protein chemistry, immuno-chemistry and enzymology at the Council for Scientific and Industrial Research (CSIR) in Pretoria and post-doctoral research at the Bowman-Grey School of Medicine, North Carolina, USA. That was instrumental in establishing food chemistry at the university.
 
He is involved in chemical aspects of food, with a focus on dairy science and technology. He is also involved in the research of cheese processing as well as milk evolution and concentrated on milk evolution in his lecture. Knowledge of milk from dairy animals alone does not provide all the explanations of milk as food.
 
Some aspects he highlighted in his lecture were that milk is the first food to be utilised by young mammals and that it is custom-designed for each species. “However, mankind is an opportunist and has found ways of easy access to food by the practice of agriculture, where plants as well as animals were employed or rather exploited,” he said.
 
The cow is the best-known milk producer, but environmental conditions forced man to select other animals. In spite of breeding selection, cattle seem not to have adapted to the most extreme conditions such as high altitudes with sub-freezing temperatures, deserts and marshes.
 
Prof. Osthoff said the consumption of the milk as an adult is not natural; neither is the consumption of milk across species. This practice of mankind may often have consequences, when signs of malnutrition or diseases are noticed. Two common problems are an allergy to milk and lactose intolerance.
 
Allergies are normally the result of an immune response of the consumer to the foreign proteins found in the milk. In some cases it might help to switch from one milk source to another, such as switching from cow’s milk to goat’s milk.
 
Prof. Osthoff said lactose intolerance – the inability of adult humans to digest lactose, the milk sugar – is natural, as adults lose that ability to digest lactose. The symptoms of the condition are stomach cramps and diarrhoea. This problem is mainly found in the warmer climates of the world. This could be an indication of early passive development of dairy technology. In these regions milk could not be stored in its fresh form, but in a fermented form, in which case the lactose was pre-digested by micro-organisms, and the human population never adapted to digesting lactose in adulthood.
 
According to Prof. Osthoff, it is basically the lactose in milk that has spurred dairy technology. Its fermentation has resulted in the development of yoghurts and all the cheeses that we know. In turn, the intolerance to lactose has spurred a further technological solution: lactose-free milk is currently produced by pre-digestion of lactose with enzymes.
 
It was realised that the milks and products from different species differed in quality aspects such as keeping properties and taste. It was also realised that the nutritional properties differed as well as their effects on health. One example is the mentioned allergy against cow’s milk proteins, which may be solved by the consumption of goat’s milk. The nutritional benefits and technological processing of milk aroused an interest in more information, and it was realised that the information gained from human milk and that of the few domesticated species do not provide a complete explanation of the properties of milk as food. Of the 250 species of milk which have been studied, only the milk of humans and a few domesticated dairy animals has been studied in detail.

Media Release
15 March 2011
Issued by: Lacea Loader
Director: Strategic Communication
Tel: 051 401 2584
Cell: 083 645 2454
E-mail: news@ufs.ac.za

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