Conjecturing, Generalizing and Justifying: Building Theory around Teacher Knowledge of Proving

Autor/in	Lesseig, Kristin
Titel	Conjecturing, Generalizing and Justifying: Building Theory around Teacher Knowledge of Proving
Quelle	In: International Journal for Mathematics Teaching and Learning, 17 (2016) 3, (31 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1473-0111
Schlagwörter	Mathematics Instruction; Validity; Mathematical Logic; Knowledge Level; Teaching Methods; Mathematical Concepts; Learning Activities; Logical Thinking; Pedagogical Content Knowledge; Elementary School Teachers; Secondary School Teachers; Seminars; Teacher Leadership; Group Activities; Video Technology; Coding + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Gültigkeit; Mathematical logics; Mathematische Logik; Wissensbasis; Teaching method; Lehrmethode; Unterrichtsmethode; Lernaktivität; Pädagogische Kompetenz; Elementary school; Teacher; Teachers; Grundschule; Volksschule; Lehrer; Lehrerin; Lehrende; Seminar; Lehrerfunktionsstelle; Gruppenaktivität; Codierung; Programmierung
Abstract	The purpose of this study was to detail teachers' proving activity and contribute to a framework of Mathematical Knowledge for Teaching Proof (MKT for Proof). While working to justify claims about sums of consecutive numbers, teachers searched for key ideas and productively used examples to make, test and refine conjectures. Analysis of teachers' mathematical activity revealed knowledge of the proving process that would be useful for and useable in the teaching of proof. This includes knowledge of the interconnections among empirical exploration, conjecturing, generalizing, and justifying as well as an understanding of the characteristics of examples and conjectures that could support the proving process. The central premise of this paper is that delineating aspects of teacher knowledge is a first step to supporting teachers' efforts to engage all students in fundamental mathematical practices of conjecturing, generalizing and justifying. (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/index
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01