# Textbook accounts of the rules of indices with rational exponents

@article{Sangwin2019TextbookAO, title={Textbook accounts of the rules of indices with rational exponents}, author={C. Sangwin}, journal={International Journal of Mathematical Education in Science and Technology}, year={2019}, volume={50}, pages={1191 - 1209} }

ABSTRACT The rules of indices, e.g. , are a particularly important part of elementary algebra. This paper reports results from a textbook analysis which examined how the shift from integer to rational exponents in the rules of indices is discussed in school textbooks. The analysis also considered related issues, such as notation and the introduction of complex numbers. A selection of popular textbooks from the period 1800–2000 was examined and the nature of the justification given for the… Expand

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#### References

SHOWING 1-10 OF 74 REFERENCES

Not seeing the roots for the branches: multivalued functions in computer algebra

- Mathematics, Computer Science
- SIGS
- 2004

A Natural History of Mathematics: George Peacock and the Making of English Algebra

- Philosophy, Medicine
- Isis
- 2013