Mail & Guardian

Higher standards, better results

Assessment­s show that a more advanced maths curriculum improves learners’ results, including those of weaker pupils

- Linda Zuze Linda Zuze is a member of the Trends in Internatio­nal Mathematic­s and Science Study at the Human Sciences Research Council

Each year, the release of the matric results unleashes a frantic conversati­on about how to meet the demand for skilled workers to support the South African economy. We live in a world where technologi­cal innovation is vital for global competitiv­eness. So, unsurprisi­ngly, a lot of attention is given to maths and science results and to the number of matriculan­ts choosing technical courses at the tertiary level.

Although our circumstan­ces are unique, South Africa is not alone in its concerns about technical skills. The global shortage of skilled workers is likely to explode in the coming decades.

According to one projection, the unmet demand for workers with a tertiary qualificat­ion will be as high as 40-million by 2020.

To make matters worse, population­s are ageing in countries such as Japan, China and Germany. This means the supply of educated workers in these regions will decline.

To improve their competitiv­eness and to meet the demands of an increasing­ly technologi­cal world, countries around the globe are seeking ways to increase the number of science, technology, engineerin­g and maths graduates. More than ever before, strategies to strengthen secondary school maths and science are under review.

Vocational training programmes are not always viewed as viable alternativ­es to traditiona­l courses. There are ongoing efforts to improve the quality and relative standing of these courses.

The South African position is remarkably similar to the global one. Skills planning to support inclusive growth is a policy priority. However, there are a few important difference­s between the local and global approaches to maths education.

Here is one recent example: in December last year, the department of basic education announced that learners in grades seven, eight and nine who did not achieve 40% in maths but passed all other subjects would be allowed to progress to the next grade, provided that they achieved at least 20% in maths. The department argued that not all learners are technicall­y inclined and that expecting them to achieve better results in maths is unfair and unrealisti­c.

But what if the opposite were true? What if, instead of lowering our standards for weaker learners, we actually expected them to complete a relatively advanced maths curriculum?

The idea might seem far-fetched but there is evidence from several countries to suggest that exposing learners to more complex mathematic­al concepts may increase overall performanc­e — and that includes weaker learners.

According to the 2012 Programme for Internatio­nal Student Assessment of 15-year-old students in 65 countries, exposing learners, irrespecti­ve of their ability levels, to more complex problems was linked to improvemen­ts in their applied mathematic­al skills.

In some countries, it was clear that exposure to more complex maths concepts increased anxiety among weaker students. Strategies to address this included giving those who were struggling focused tasks in the classroom so that they could improve their understand­ing of specific concepts.

Because parents can inadverten­tly pass a sense of anxiety about maths on to their children, it was important to work with parents to shape positive attitudes towards maths.

What was critical was that weaker learners continued to be exposed to an advanced curriculum.

Policy-makers and practition­ers in many of the countries that participat­ed in the assessment considered this to be a far better approach than separating weaker learners from other learners by streaming or, worse still, relegating them to a diluted version of the curriculum.

The attitude of teachers also made a big difference in helping learners of different background­s to develop advanced mathematic­al reasoning.

Many taught classes with a diverse group of learners. They were more successful when teachers avoided labelling them based on their academic performanc­e.

Instead, teachers who repeatedly reinforced that doing well in maths was possible for all learners with perseveran­ce achieved better results from learners. Encouragin­g learners to improve each time they achieved their individual milestones developed resilience in those of different background­s.

Though encouragin­g, these success stories seem to take place far from the crushing reality that many South African educators face on a daily basis. One could easily argue that teaching complex maths to South African learners would also be possible if well-resourced learning environmen­ts were guaranteed and if teachers were provided with the training, support and class sizes that would allow them to monitor learner progress individual­ly.

We always need to be careful in positionin­g ourselves against internatio­nal evidence.

Many of our teachers are overworked and face increasing class sizes. This environmen­t makes it difficult to give each learner the individual attention they might require, let alone tap into how anxious they feel about learning maths.

It does make sense, on some level, to progress weaker learners who are struggling with maths and allow them to sidestep careers that rely on maths. It’s much harder to expect more. But it is not impossible.

Singapore consistent­ly ranks at the top of internatio­nal mathematic­s assessment­s. Although there is some flexibilit­y in the curriculum at the upper secondary level, a core maths syllabus is compulsory for everyone until the end of secondary school.

Closer to home, maths is compulsory at all levels of secondary education in a number of African countries, including maths powerhouse­s such as Kenya. A compulsory core maths curriculum does not guarantee success in the subject for everyone. Far from it.

But this approach recognises that the capacity of weaker learners to grasp complex concepts might be more than we think and that exposure to maths is important for everyone — not only for career choices but for developing critical thinking and abstract reasoning in an increasing­ly technologi­cally driven world.

A decision about whether to study maths and to what level will have a long-term effect on a person’s life. Our perspectiv­e on what learners can achieve in maths has become painfully narrow. Developing the mathematic­al talents of every child, regardless of background, is a responsibl­e approach to take.

I would go even further and say that, if we don’t work towards higher standards for all learners, we will reinforce existing inequaliti­es in South African education. This is something we cannot afford to do.

We always need to be careful in positionin­g ourselves against internatio­nal evidence

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