Historical Reflections on How Algebra Became a Vital Component of Middle- and Secondary-School Curricula

Autor: Sinan Kanbir, M. A. (Ken) Clements, Nerida F. Ellerton
Rok vydání: 2017
Předmět:
Zdroj: Using Design Research and History to Tackle a Fundamental Problem with School Algebra ISBN: 9783319592039
DOI: 10.1007/978-3-319-59204-6_2
Popis: The chapter begins by identifying, and placing in their historical contexts, the main issues in a longstanding debate over the purposes of school algebra. The following six purposes for school algebra, recognized by various writers over the past three centuries, are then identified: (a) algebra as a body of knowledge essential to higher mathematical and scientific studies, (b) algebra as generalized arithmetic, (c) algebra as a prerequisite for entry to higher studies, (d) algebra as offering a language and set of procedures for modeling real-life problems, (e) algebra as an aid to describing structural properties in elementary mathematics, and (f) algebra as a study of variables. The question is then raised, and discussed, whether school algebra represents a unidimensional trait.
Databáze: OpenAIRE