A Study of Slope Explanations across a Standards-Based Textbook Series

Autor/inn/en	Nagle, Courtney; Moore-Russo, Deborah; Fisher, Thomas
Titel	A Study of Slope Explanations across a Standards-Based Textbook Series
Quelle	In: International Journal for Mathematics Teaching and Learning, 23 (2022) 1, S.25-46 (22 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1473-0111
Schlagwörter	Secondary School Mathematics; Textbooks; Textbook Content; Mathematical Concepts; Language Usage; Mathematics Instruction; Algebra; Calculus + Suchen Sie Ihr Suchwort? Textbook; Text book; Schulbuch; Lehrbuch; Lehrbuchtext; Sprachgebrauch; Mathematics lessons; Mathematikunterricht; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung
Abstract	This study analyses a standards-based textbook series to investigate how slope is presented across seven sequential textbooks in a secondary mathematics curriculum. Analysis of the expository content across the textbooks shows that slope is covered in all seven books, is frequently described as a "Constant Parameter" or "Ratio," is frequently used in real-world contexts, and is often described alongside covariational language of how inputs and outputs change in relation to one another. Results indicate that "Determining Property" and "Steepness" components of slope are less prevalent and disproportionately unlikely to be accompanied by covariational language and applications compared with the other slope components. Although many consistencies were found across the textbook series, differences in emphases from one textbook to another are also discussed and connected to the recommendation that future work around slope investigate its development across the secondary curriculum. Results are discussed relative to students' preparation for specific calculus topics that build on prior knowledge of slope. Implications for both teachers and researchers are provided. (As Provided).
Anmerkungen	Centre for Innovation in Mathematics Teaching. 5th Floor Rolle Building, Faculty of Education University of Plymouth, Drake Circus, Plymouth, PL4 8AA, UK. Tel: +44-1752-585346; Fax: +44-1752-585344; e-mail: feedback@cimt.org.uk; Web site: http://www.cimt.org.uk/ijmtl/index.php/IJMTL/about
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01