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A student`s conceiving a pattern of change between two varying quantities in a quadratic functional situation and its representations: The case of Min-Seon
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  • Journal title : The Mathematical Education
  • Volume 54, Issue 4,  2015, pp.299-315
  • Publisher : Korea Society of Mathematical Education
  • DOI : 10.7468/mathedu.2015.54.4.299
 Title & Authors
A student`s conceiving a pattern of change between two varying quantities in a quadratic functional situation and its representations: The case of Min-Seon
Lee, Dong Gun; Moon, Min Joung; Shin, Jaehong;
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 Abstract
The aim of this qualitative case study is twofold: 1) to analyze how an eleventh-grader, Min-Seon, conceive and represent a pattern of change between two varying quantities in a quadratic functional situation, and 2) further to help her form a concept of `derivative` as a tool to express the relationship with employing a concept of `rate of change.` The result indicates that Min-Seon was able to construct graphs of piecewise functions that take average rates of change as range of the functions, and managed to conjecture the derivative of a quadratic function, $y
 Keywords
covariational reasoning;rate of change;quadratic function;exponential function;derivative;
 Language
Korean
 Cited by
1.
변화율 관점에서 농도 변화에 대한 인식과 표현의 변화 과정에 대한 분석,이동근;김숙희;안상진;신재홍;

대한수학교육학회지:수학교육학연구, 2016. vol.26. 3, pp.333-354
2.
거리함수와 속력함수에서, 거리와 속력의 관계에 대한 학생들의 인식과 표현의 변화과정에 대한 연구,이동근;안상진;김숙희;신재홍;

대한수학교육학회지:학교수학, 2016. vol.18. 4, pp.881-901
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