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Title: Conceptions of span in linear algebra: From textbook examples to student responses
Using Balacheff’s (2013) model of conceptions, we inferred potential conceptions in three examples presented in the spanning sets section of an interactive linear algebra textbook. An analysis of student responses to two similar reading questions revealed additional strategies that students used to decide whether a vector was in the spanning set of a given set of vectors. An analysis of the correctness of the application of these strategies provides a more nuanced understanding of student responses that might be more useful for instructors than simply classifying the responses as right or wrong. These findings add to our knowledge of the textbook’s presentation of span and student understanding of span. We discuss implications for research and practice.  more » « less
Award ID(s):
1821509
PAR ID:
10547458
Author(s) / Creator(s):
; ; ;
Publisher / Repository:
Educational Studies in Mathematics
Date Published:
Journal Name:
Educational Studies in Mathematics
Volume:
116
Issue:
1
ISSN:
0013-1954
Page Range / eLocation ID:
67 to 89
Subject(s) / Keyword(s):
span model of conceptions interactive textbooks
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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