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Reading between the lines: Teaching linear algebra.

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Title: Reading between the lines: Teaching linear algebra.
Authors: Lewis, JenniferM. (AUTHOR) jmlewis@wayne.edu, Blunk, MerrieL. (AUTHOR)
Source: Journal of Curriculum Studies. Aug2012, Vol. 44 Issue 4, p515-536. 22p. 2 Graphs.
Subject Terms: *Mathematics education, *Curriculum, *Teaching aids, *Mathematics teachers, *Effective teaching, Linear algebra
Abstract: This paper compares lessons on linear equations from the same curriculum materials taught by two teachers of different levels of mathematical knowledge for teaching (MKT). The analysis indicates that the mathematical quality of instruction in these two classrooms appears to be a function of differences in MKT. Although the two teachers were teaching from the same curriculum materials, the teacher with higher MKT had more complete and concise ways to describe key concepts, had multiple ways to represent ideas about linear equations, could move nimbly among different mathematical expressions of linear relationships, and gave students a larger role in articulating the mathematical ideas of the lesson. However, curriculum materials seem to have moderated what would otherwise have been larger disparities in the quality of instruction between the two teachers. The lower-MKT teacher made minor mathematical errors, stayed on topic, and defined concepts in reasonably accurate ways when he followed the curriculum materials closely. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Curriculum Studies is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Reading between the lines: Teaching linear algebra.
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  Data: This paper compares lessons on linear equations from the same curriculum materials taught by two teachers of different levels of mathematical knowledge for teaching (MKT). The analysis indicates that the mathematical quality of instruction in these two classrooms appears to be a function of differences in MKT. Although the two teachers were teaching from the same curriculum materials, the teacher with higher MKT had more complete and concise ways to describe key concepts, had multiple ways to represent ideas about linear equations, could move nimbly among different mathematical expressions of linear relationships, and gave students a larger role in articulating the mathematical ideas of the lesson. However, curriculum materials seem to have moderated what would otherwise have been larger disparities in the quality of instruction between the two teachers. The lower-MKT teacher made minor mathematical errors, stayed on topic, and defined concepts in reasonably accurate ways when he followed the curriculum materials closely. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Curriculum Studies is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1080/00220272.2012.716975
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      – Code: eng
        Text: English
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      – SubjectFull: Mathematics education
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      – SubjectFull: Curriculum
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      – SubjectFull: Teaching aids
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      – SubjectFull: Mathematics teachers
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      – TitleFull: Reading between the lines: Teaching linear algebra.
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