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Two Middle School Students' Proportional Reasoning Emerging through the Process of Expressing and Interpreting the Function Graphs  

Ma, Minyoung (Indong Middle School)
Shin, Jaehong (Korea National University of Education)
Publication Information
School Mathematics / v.19, no.2, 2017 , pp. 345-367 More about this Journal
Abstract
The purpose of this study is to investigate the proportional reasoning of middle school students during the process of expressing and interpreting the graphs. We collected data from a teaching experiment with four 7th grade students who participated in 23 teaching episodes. For this study, the differences between student A and student B-who joined theteaching experiment from the $1^{st}$ teaching episode through the $8^{th}$ -in understanding graphs are compared and the reason for their differences are discussed. The results showed different proportional solving strategies between the two students, which revealed in the course of adjusting values of two given variables to seek new values; student B, due to a limited ability for proportional reasoning, had difficulty in constructing graphs for given situations and interpreting given graphs.
Keywords
functions; graphs; proportional reasoning; constant rate of change;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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