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The Development of Mathematical Knowledge for Teaching for Quantitative Reasoning Using Video-Based Instruction.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	The Development of Mathematical Knowledge for Teaching for Quantitative Reasoning Using Video-Based Instruction./
Author:	Walters, Charles David.
Description:	1 online resource (373 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 79-04(E), Section: A.
Contained By:	Dissertation Abstracts International79-04A(E).
Subject:	Mathematics education. -
Online resource:	click for full text (PQDT)
ISBN:	9780355447026

The Development of Mathematical Knowledge for Teaching for Quantitative Reasoning Using Video-Based Instruction.
Walters, Charles David.

The Development of Mathematical Knowledge for Teaching for Quantitative Reasoning Using Video-Based Instruction. - 1 online resource (373 pages)

Source: Dissertation Abstracts International, Volume: 79-04(E), Section: A.

Thesis (Ph.D.)--San Diego State University, 2017.

Includes bibliographical references

Quantitative reasoning (P. W. Thompson, 1990, 1994) is a powerful mathematical tool that enables students to engage in rich problem solving across the curriculum. One way to support students' quantitative reasoning is to develop prospective secondary teachers' (PSTs) mathematical knowledge for teaching (MKT; Ball, Thames, & Phelps, 2008) related to quantitative reasoning. However, this may prove challenging, as prior to entering the classroom, PSTs often have few opportunities to develop MKT by examining and reflecting on students' thinking. Videos offer one avenue through which such opportunities are possible.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355447026Subjects--Topical Terms:

1148686
Mathematics education.
Index Terms--Genre/Form:

554714
Electronic books.

The Development of Mathematical Knowledge for Teaching for Quantitative Reasoning Using Video-Based Instruction.
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500 $a Source: Dissertation Abstracts International, Volume: 79-04(E), Section: A.
500 $a Adviser: Joanne Lobato.
502 $a Thesis (Ph.D.)--San Diego State University, 2017.
504 $a Includes bibliographical references
520 $a Quantitative reasoning (P. W. Thompson, 1990, 1994) is a powerful mathematical tool that enables students to engage in rich problem solving across the curriculum. One way to support students' quantitative reasoning is to develop prospective secondary teachers' (PSTs) mathematical knowledge for teaching (MKT; Ball, Thames, & Phelps, 2008) related to quantitative reasoning. However, this may prove challenging, as prior to entering the classroom, PSTs often have few opportunities to develop MKT by examining and reflecting on students' thinking. Videos offer one avenue through which such opportunities are possible.
520 $a In this study, I report on the design of a mini-course for PSTs that featured a series of videos created as part of a proof-of-concept NSF-funded project. These MathTalk videos highlight the ways in which the quantitative reasoning of two high school students developed over time.
520 $a Using a mixed approach to grounded theory, I analyzed pre- and postinterviews using an extant coding scheme based on the Silverman and Thompson (2008) framework for the development of MKT. This analysis revealed a shift in participants' affect as well as three distinct shifts in their MKT around quantitative reasoning with distances, including shifts in: (a) quantitative reasoning; (b) point of view (decentering); and (c) orientation toward problem solving.
520 $a Using the four-part focusing framework (Lobato, Hohensee, & Rhodehamel, 2013), I analyzed classroom data to account for how participants' noticing was linked with the shifts in MKT. Notably, their increased noticing of aspects of MKT around quantitative reasoning with distances, which features prominently in the MathTalk videos, seemed to contribute to the emergence of the shifts in MKT.
520 $a Results from this study link elements of the learning environment to the development of specific facets of MKT around quantitative reasoning with distances. These connections suggest that vicarious experiences with two students' quantitative reasoning over time was critical for participants' development of MKT.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
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773 0 $t Dissertation Abstracts International $g 79-04A(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10640618 $z click for full text (PQDT)