Preservice Middle and High School Mathematics Teachers' Strategies When Solving Proportion Problems

Autor/in	Arican, Muhammet
Titel	Preservice Middle and High School Mathematics Teachers' Strategies When Solving Proportion Problems
Quelle	In: International Journal of Science and Mathematics Education, 16 (2018) 2, S.315-335 (21 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1571-0068
DOI	10.1007/s10763-016-9775-1
Schlagwörter	Preservice Teachers; Middle Schools; High Schools; Mathematics Education; Problem Solving; Mathematical Concepts; Word Problems (Mathematics); Case Studies; Logical Thinking; Semi Structured Interviews + Suchen Sie Ihr Suchwort? Middle school; Mittelschule; Mittelstufenschule; High school; Oberschule; Mathematische Bildung; Problemlösen; Textaufgabe; Case study; Fallstudie; Case Study
Abstract	The purpose of this study was to investigate eight preservice middle and high school mathematics teachers' solution strategies when solving single and multiple proportion problems. Real-world missing-value word problems were used in an interview setting to collect information about preservice teachers' (PSTs) reasoning about proportional relationships. An explanatory case study methodology with multiple cases was used to make comparisons within and across cases. Analysis of the semi-structured interviews with each PST revealed that using practical problems, in which plastic gears and a mini balance system were provided, and multiple proportion problems facilitated the PSTs' recognition of the proportional relationships in their solutions. Therefore, they avoided using cross-multiplication and erroneous strategies in those problems. Among the strategies that the PSTs used in solving single and multiple proportion problems, the ratio table strategy was the most frequent and effective strategy. The ratio table strategy enabled the PSTs to recognize the constant ratio and product relationships more than the other strategies. The results of this study illuminate how PSTs reason about proportional relationships when they cannot rely on computation methods like cross-multiplication. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2020/1/01