國立虎尾科技大學 |

Exploring Middle School Students' Strategies When Solving Surface Area Tasks.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Exploring Middle School Students' Strategies When Solving Surface Area Tasks./
作者:	Beck, Pamela S.
面頁冊數:	1 online resource (253 pages)
附註:	Source: Dissertations Abstracts International, Volume: 83-12, Section: A.
Contained By:	Dissertations Abstracts International83-12A.
標題:	Middle school education. -
電子資源:	click for full text (PQDT)
ISBN:	9798438793281

Exploring Middle School Students' Strategies When Solving Surface Area Tasks.
Beck, Pamela S.

Exploring Middle School Students' Strategies When Solving Surface Area Tasks. - 1 online resource (253 pages)

Source: Dissertations Abstracts International, Volume: 83-12, Section: A.

Thesis (Ph.D.)--Illinois State University, 2022.

Includes bibliographical references

Measurement is an important concept in school mathematics (Clements, 2003). There are several studies and empirical evidence on students' thinking about geometrical measurement of length, area, and volume (e.g., Barrett et al., 2017; Battista, 2007, 2012; Eames, 2014; Lehrer, Jenkins, & Osana, 1998; Miller, 2013; Outhred & Mitchelmore, 2000; Sarama & Clements, 2009); however, there is limited research on students' thinking about surface area measurement. This study addresses a gap in the literature with empirical evidence of students' thinking about surface area measurement. This study also aimed to examine students' responses to tasks involving surface area measurement and categorize the strategies using the SOLO Taxonomy. Fifteen students in Grades 5-8 participated in paired interviews. The students were selected based on a participant selection survey that included two rectilinear area measurement problems. I interviewed the selected participants twice. Interview 1 included three tasks, and Interview 2 included one or two tasks, depending on the students' previous answers. I utilized five key ideas of measurement when analyzing the students' work on the surface area tasks: attribute, unit, structure, conservation, and additivity. Then I characterized the students' strategies using the SOLO Taxonomy. The results of this study indicate that middle school students exhibited thinking about surface area that corresponds with four levels of the SOLO Taxonomy and represents increasing sophistication in their thinking: pre-structural, uni-structural, multi-structural, and relational. Pre-structural level strategies included counting items that were not linked to area or surface area, uni-structural level included operating on lengths in ways that would not produce area or surface area measures, multi-structural strategies included operating on lengths in ways that would produce area and surface area measures, and relational strategies included coordinating lengths and area measures to account for the composite area regions or surface area. KEYWORDS: Geometric Measurement; SOLO Taxonomy; Surface Area.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024

Mode of access: World Wide Web

ISBN: 9798438793281Subjects--Topical Terms:

1148691
Middle school education.
Subjects--Index Terms:

Geometric measurementIndex Terms--Genre/Form:

554714
Electronic books.

Exploring Middle School Students' Strategies When Solving Surface Area Tasks.
LDR:03472ntm a22003737 4500 001 1144083
005 20240603070922.5
006 m o d
007 cr mn ---uuuuu
008 250605s2022 xx obm 000 0 eng d
020 $a 9798438793281
035 $a (MiAaPQ)AAI28862037
035 $a AAI28862037
040 $a MiAaPQ $b eng $c MiAaPQ $d NTU
100 1 $a Beck, Pamela S. $3 1468994
245 1 0 $a Exploring Middle School Students' Strategies When Solving Surface Area Tasks.
264 0 $c 2022
300 $a 1 online resource (253 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertations Abstracts International, Volume: 83-12, Section: A.
500 $a Advisor: Cullen, Amanda L.;Langrall, Cynthia W.
502 $a Thesis (Ph.D.)--Illinois State University, 2022.
504 $a Includes bibliographical references
520 $a Measurement is an important concept in school mathematics (Clements, 2003). There are several studies and empirical evidence on students' thinking about geometrical measurement of length, area, and volume (e.g., Barrett et al., 2017; Battista, 2007, 2012; Eames, 2014; Lehrer, Jenkins, & Osana, 1998; Miller, 2013; Outhred & Mitchelmore, 2000; Sarama & Clements, 2009); however, there is limited research on students' thinking about surface area measurement. This study addresses a gap in the literature with empirical evidence of students' thinking about surface area measurement. This study also aimed to examine students' responses to tasks involving surface area measurement and categorize the strategies using the SOLO Taxonomy. Fifteen students in Grades 5-8 participated in paired interviews. The students were selected based on a participant selection survey that included two rectilinear area measurement problems. I interviewed the selected participants twice. Interview 1 included three tasks, and Interview 2 included one or two tasks, depending on the students' previous answers. I utilized five key ideas of measurement when analyzing the students' work on the surface area tasks: attribute, unit, structure, conservation, and additivity. Then I characterized the students' strategies using the SOLO Taxonomy. The results of this study indicate that middle school students exhibited thinking about surface area that corresponds with four levels of the SOLO Taxonomy and represents increasing sophistication in their thinking: pre-structural, uni-structural, multi-structural, and relational. Pre-structural level strategies included counting items that were not linked to area or surface area, uni-structural level included operating on lengths in ways that would not produce area or surface area measures, multi-structural strategies included operating on lengths in ways that would produce area and surface area measures, and relational strategies included coordinating lengths and area measures to account for the composite area regions or surface area. KEYWORDS: Geometric Measurement; SOLO Taxonomy; Surface Area.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2024
538 $a Mode of access: World Wide Web
650 4 $a Middle school education. $3 1148691
650 4 $a Mathematics education. $3 1148686
653 $a Geometric measurement
653 $a Measurement
653 $a SOLO taxonomy
653 $a Surface area
655 7 $a Electronic books. $2 local $3 554714
690 $a 0280
690 $a 0450
710 2 $a Illinois State University. $b Department of Mathematics. $3 1180663
710 2 $a ProQuest Information and Learning Co. $3 1178819
773 0 $t Dissertations Abstracts International $g 83-12A.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28862037 $z click for full text (PQDT)