Literaturnachweis - Detailanzeige
Autor/in | Sangwin, Chris |
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Titel | Rules of indices in United Kingdom textbooks 1800 - 2000. |
Quelle | Aus: Jones, Keith (Hrsg.): Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT-2014). Southampton: University of Southampton (2014) S. 421-426
PDF als Volltext |
Beigaben | grafische Darstellungen; Literaturangaben S. 426 |
Sprache | englisch |
Dokumenttyp | online; Sammelwerksbeitrag |
ISBN | 978-0-85432-984-7; 978-0-85432-985-4 |
Schlagwörter | Schulbuch; Geschichte (Histor); Exponentialfunktion; Mathematikunterricht; Index; Online-Publikation; Großbritannien |
Abstract | This paper reports a textbook analysis which examined how the shift from integer to rational exponents in the rules of indices are discussed in mathematics textbooks. Rules of indices are centrally important to algebra, both theoretically and as a computational tool. The topic occurs at a number of levels in school and university curricula. The data set is a selection of historic textbooks published in the United Kingdom during the period 1800-2000. Historic textbooks potentially avoid the problem of high-stakes examinations driving textbook design, and they deal with algebra as a separate and self-contained subject. These books were in print for many years, were popular in terms of numbers of books sold and used, and were influential. The majority of books in the corpus were in print for more than 25 years, with some continuously in print for more than 80. The analysis seeks to understand the justification given by textbook authors for the shift from integer to rational exponents in the rules of indices. A coding scheme is developed to group justifications into categories. It is intriguing that this topic is justified in so many different ways. Some of the epistemological and didactic implications of this analysis are discussed. |
Erfasst von | Leibniz-Institut für Bildungsmedien | Georg-Eckert-Institut (GEI), Braunschweig |
Update | 2017/1 |