An Analysis of the Contents and Pedagogy of Al-Kashi's 1427 "Key to Arithmetic" (Miftah Al-Hisab)

Autor/in	Ta'ani, Osama Hekmat
Titel	An Analysis of the Contents and Pedagogy of Al-Kashi's 1427 "Key to Arithmetic" (Miftah Al-Hisab)
Quelle	(2011), (255 Seiten) PDF als Volltext Verfügbarkeit Ph.D. Dissertation, New Mexico State University
Sprache	englisch
Dokumenttyp	gedruckt; online; Monographie
ISBN	978-1-2678-0372-6
Schlagwörter	Hochschulschrift; Dissertation; Islam; Mathematics Instruction; History; Educational History; Medieval History; Mathematical Concepts; Classification; Arithmetic; Textbooks; Content Analysis; Teaching Methods; Definitions + Suchen Sie Ihr Suchwort? Thesis; Dissertations; Academic thesis; Mathematics lessons; Mathematikunterricht; Geschichte; Geschichtsdarstellung; History of education; Bildungsgeschichte; Mediävistik; Classification system; Klassifikation; Klassifikationssystem; Addition; Arithmetik; Arithmetikunterricht; Rechnen; Textbook; Text book; Schulbuch; Lehrbuch; Inhaltsanalyse; Teaching method; Lehrmethode; Unterrichtsmethode; Begriffsbestimmung
Abstract	Al-Kashi's 1427 "Key to Arithmetic" had important use over several hundred years in mathematics teaching in Medieval Islam throughout the time of the Ottoman Empire. Its pedagogical features have never been studied before. In this dissertation I have made a close pedagogical analysis of these features and discovered several teaching aspects that are different from most teaching today. In particular al-Kashi presents multiple paths to practice mathematics. He presents multiple definitions, multiple algorithms, multiple formulas, and multiple solution methods as a pervasive feature of his pedagogy. And he expounds an exhaustive exclusive classification method for mathematical objects. I present and contrast examples of each one. Finally I suggest some ways to compare the "Key to Arithmetic" with other historical sources. [The dissertation citations contained here are published with the permission of ProQuest LLC. Further reproduction is prohibited without permission. Copies of dissertations may be obtained by Telephone (800) 1-800-521-0600. Web page: http://www.proquest.com/en-US/products/dissertations/individuals.shtml.] (As Provided).
Anmerkungen	ProQuest LLC. 789 East Eisenhower Parkway, P.O. Box 1346, Ann Arbor, MI 48106. Tel: 800-521-0600; Web site: http://www.proquest.com/en-US/products/dissertations/individuals.shtml
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10