Making it Abbe up
Ernst Abbe came up with the maths which would reveal microscopic hidden visions.
Does it all add up?
Are the rules of maths part of the natural order, or are they a construction? Consider the philosophy of maths.
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Related programme
Sue Johnston-Wilder looks at how we develop our skills with numbers
There are many ways in which the process of developing number sense can go wrong. For many people, the negative experience (bordering on panic) of expectations beyond their capability results in a flooding of emotion into the parts of the brain needed for number. So some difficulty experienced in learning mathematics can be attributed to anxiety. Hence some difficulty experienced in learning mathematics can be attributed to anxiety.
There is need for a great many more studies in this area to develop a fuller understanding. In the meantime, teachers are already being encouraged to use a mixture of visual, auditory and kinaesthetic approaches to number and the rest of us need to learn to approach number with calm, using any approach that works for us!
Further reading
Butterworth, B. (1999) The Mathematical Brain, London: Macmillan.
Dehaene, S. (1997) The Number Sense: How the mind creates mathematics, Oxford: Oxford University Press.
Lakoff G. and Nunez R. E. (2000) Where mathematics comes from: how the embodied mind brings mathematics into being, New York: Basic Books.
Mason J. and Johnston-Wilder S. (2004) Fundamental Constructs in Mathematics Education, London: RoutledgeFalmer.
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Content last updated: 05/01/2005
About our expert
Sue Johnston-Wilder is Associate Professor of Mathematics Education at the University of Warwick. Previously she was a Senior Lecturer in the Centre for Mathematics Education at the Open University. She researches in several areas including motivating mathematics, mathematics anxiety, and the use of ICT and history of mathematics in supporting mathematics learning.








