Covariational reasoning among U.S. and South Korean secondary mathematics teachers

Autor:	Patrick W Thompson, Neil Hatfield, Surani Joshua, Cameron Byerley, Hyunkyoung Yoon
Rok vydání:	2017
Předmět:	Applied Mathematics 05 social sciences Secondary mathematics 050301 education Animation Graph Sketch Education Qualitative reasoning Mathematics (miscellaneous) 0502 economics and business Mathematics education Initial point 0503 education 050203 business & management Mathematics
Zdroj:	The Journal of Mathematical Behavior. 48:95-111
ISSN:	0732-3123
Popis:	We investigated covariational reasoning among 487 secondary mathematics teachers in the United States and South Korea. We presented an animation showing values of two varying magnitudes (v and u) on axes in a Cartesian plane along with a request that they sketch a graph of the value of u in relation to the value of v. We classified teachers’ sketches on two independent criteria: (1) where they placed their initial point, and (2) their graph’s overall shape irrespective of initial point. There are distinct differences on both criteria between U.S. and South Korean teachers, suggesting that covariational reasoning is more prominent among South Korean secondary teachers than among U.S. secondary teachers. The results also suggest strongly that forming a multiplicative object that unites quantities’ values is necessary to express covariation graphically.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::abe2c826af03da242fd03b0311b82019 https://doi.org/10.1016/j.jmathb.2017.08.001 Zobrazit plný text záznamu Full Text from ScienceDirect