Systematic Approaches to Experimentation: The Case of Pick's Theorem

Autor/inn/en	Papadopoulos, Ioannis; Iatridou, Maria
Titel	Systematic Approaches to Experimentation: The Case of Pick's Theorem
Quelle	In: Journal of Mathematical Behavior, 29 (2010) 4, S.207-217 (11 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0732-3123
DOI	10.1016/j.jmathb.2010.10.002
Schlagwörter	Grade 10; Mathematics Instruction; Experiments; Secondary School Mathematics; Mathematical Formulas; Validity; Mathematical Logic; Problem Solving; Mathematical Concepts + Suchen Sie Ihr Suchwort? Mathematics lessons; Mathematikunterricht; Erprobung; Mathematische Formel; Gültigkeit; Mathematical logics; Mathematische Logik; Problemlösen
Abstract	In this paper two 10th graders having an accumulated experience on problem-solving ancillary to the concept of area confronted the task to find Pick's formula for a lattice polygon's area. The formula was omitted from the theorem in order for the students to read the theorem as a problem to be solved. Their working is examined and emphasis is given to highlighting the students' range of systematic approaches to experimentation in the context of problem solving and aspects of control that are reflected in these approaches. (Contains 1 table and 4 figures.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10