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Teacher, writer, researcher, interested in the power of education to transform lives, and how to do it better.

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Latest Issues

The historical development of the structure of the continuum part 4: Newton and Leibniz

Newton

Newton’s first work on the calculus appears to have been a series of annotations from the work of Wallis. These early writings are largely a set of procedures, with little in the way of justification, but an indication of his tho...

5 months ago
6
2

How do we prepare students for a world we cannot imagine?

Abstract

The educational achievement of a country’s population is a key determinant of its economic growth, and so improving educational attainment is an urgent priority for all countries. A number of ways that this might be done have b...

5 months ago
25
4

The historical development of the structure of the continuum part 3: Europe in the 17th Century

Italy

Galileo Galilei published only one strictly mathematical work, on geometric compasses. Despite this, however, he had some influence; partly through his own speculations on the infinite, and partly through the work of his students....

5 months ago
3

The historical development of the structure of the continuum part 2: The Middle Ages

After the decline in the Greek civilization, there was little progress in the understanding of the concepts underlying the calculus for nearly two thousand years. In India, the development of a sophisticated place value system tended to mil...

5 months ago
2

The historical development of the structure of the continuum part 1: Ancient Greece

Although Thales and the Pythagorean school may have invoked arguments involving the infinitely small, the earliest known examples of infinitesimal ideas in mathematical thought arose in Abdera in Thrace in the fifth century B.C.

The mathem...

5 months ago
6

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  • Dylan Wiliam

    Dylan Wiliam is a former secondary school teacher and is Emeritus Professor of Educational Assessment at the UCL Institute of Education.

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