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Exploring students' approaches to function composition from graphs

delete2025-10-01
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PRE
AI
Y
Yuxi Chen *
E
Emma LaPlace
N
Nicholas H. Wasserman
T
Teo Paoletti
DOI:10.1080/0020739X.2025.2572379delete
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摘要

摘要

En 中文
Students learn about function composition, $ ({g \circ f} )(x ) $ (g degrees f)(x), in secondary school often with a focus on composing two given equations. But what about when functions are given as graphs? This study aims to explore how students were able to reason graphically about composing functions. We identify common types of resultant graphs participants generated in trying to sketch the composition of various graphically-depicted functions, and the common types of reasoning we infer those participants engaged in while doing so. The results generate both questions and hypotheses about how best to support students' development of deep - and diverse - meanings for composing functions.
Keyword:
Function
function composition
graphical reasoning

期刊

I
International Journal of Mathematical Education in Science and Technology
IF:
0.6
论文数:
86
被引数:
0

机构

C
Columbia University
学者数:
7.1W
论文数: 6.4W
被引数: 263
C
columbia university teachers college
学者数:
1.2K
论文数: 986
被引数: 0
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