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Teaching Takes Place in Time

Teaching takes place in time; learning takes place over time

This is an example of a protasis: a statement that is meant to be striking enough to make you stop and think. In this case, the suggestion is that learning as such can neither be observed directly nor guaranteed.
Contents
1 Main Section
2 Probes & Prompts
3 Taking Action
4 Case Studies
5 Research Sources
6 See Also

Main Section

Learning is a process of maturation [see also what is learning?].  It is much more like fermentation or bread-making than it is like adjusting the spark plugs on a motorbike.  It takes place over time.  Caleb Gattegno (ref) even went so far as to suggest that learning takes place when we are asleep, for it is then that our brain lets go of or forgets some memories so that it is possible to access others.

Research by Brenda Denvir & Margaret Brown (1986, 1986a) and showed that learners often come away from a lesson having learned something quite different to what the teacher thought the lesson was about. Learners are will-possessing organisms, not mechanical robots, so what they make of their experiences and activity is highly idiosyncratic.

By contrast, teaching consist of a sequence of acts.  Teachers can direct learner attention; they can set tasks and intervene by asking mathematical questions; they can even teach by listening (Davis 1996). But all of these acts take place in time.

You cannot do the learning for other people, you can only offer opportunities for them to learn from their experience [see learning from experience].

Probes & Prompts

What might be released from your concerns if you were to take seriously the statement that teaching takes place in time but learning takes place over time?  What dangers might there be in taking such a position?

Taking Action

When you look for a specific learning outcome, what do you expect to have happened: changed behaviour? altered emotions? educated awareness? Something else?

Try raising a discussion with colleagues about what exactly a teacher can actually do, and how that relates to expected and desired learning.

Case Studies

Research Sources

Griffin, P. (1989). Teaching Takes Place in Time, Learning Takes Place Over Time, Mathematics Teaching 126, p12-13.

Denvir, B. and Brown, M. 1986. Understanding number concepts in low attaining 7–9 year-olds. Educational Studies in Mathematics, 17 (1), p15–36.

Denvir, B. and Brown, M. 1986a. Understanding number concepts in low attaining 7–9 year-olds: Part II. Educational Studies in Mathematics, 17 (2), p143–64.

Davis, B. (1996). Teaching Mathematics: toward a sound alternative. Garland, London.

See Also

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