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Eight-Grade Students explore Surface Area and Volume Problems: The Role of Representations

## Descriptive

TypeOfResource
Text
TitleInfo
Title
Eight-Grade Students explore Surface Area and Volume Problems: The Role of Representations
Identifier (type = doi)
doi:10.7282/T3V40X46
Abstract
The purpose of this RUanalytic is to examine how students use different representations to illustrate their developing understanding of the concepts of surface area and volume.

The events chosen for the RUanalytic focus on the following categories of external representations: manipulative/physical, written symbols, experiential, spoken language and pictures and diagrams (Lesh, Post and Behr 1987).

The video data for this RUanalytic come from a longitudinal study, from first grade to twelfth, and beyond of the development of mathematical ideas and ways of reasoning in students. The National Science Foundation funded the study (funded in part by NSF grants MDR 9053597 and REC-9814846), in the Kenilworth School District.
The events for this study occurred during an extended class session with fourteen eighth-grade students working in groups, who were provided with Cuisenaire rods, paper and pencil. The events for this RUanalytic are taken from the full video of the single session. It details the studentsâ€™ participation in the activity and respects the chronology in which the students worked on the tasks described below.

Researcher Carolyn Maher presented the following tasks;
1. Find the surface area of one rod.
2. Find the volume of one rod.
3. Find the volume of any number of stacked rods of a particular length.
4. Find the surface area of any number of stacked rods of a particular length.

References

Lesh, R., Post, T., & Behr, M. (1987). Representations and Translations among Representations in Mathematics Learning and Problem Solving. In C. Janvier, (Ed.), Problems of Representations in the Teaching and Learning of Mathematics (pp. 33-40). Hillsdale, NJ; Lawrence Erlbaum.

Goldin, G., Shteingold, N. (2001). Systems of Representations and the Development of Mathematical Concepts. The Roles of Representation in School Mathematics, NCTM 2001 Yearbook. (p. 1-23).

Goldin, G. A., & Kaput, J. J. (1996). A joint perspective on the idea of representation in learning and doing mathematics. Theories of mathematical learning, 397-430.

National Council of Teachers of Mathematics. (2000). Principles and Standards for school mathematics. Reston VA.
Genre (authority = RULIB)
Lesson activity
Genre (authority = RULIB)
Professional development activity
Genre (authority = RULIB)
Student collaboration
Genre (authority = RULIB)
Student engagement
Genre (authority = RULIB)
Student model building
Genre (authority = RULIB)
Representation
RelatedItem (type = host)
TitleInfo
Title
RBDIL Analytics
Identifier (type = local)
rucore00000002136
Name (id = NAME-1); (type = personal)
NamePart (type = family)
Horwitz
NamePart (type = given)
Kenneth
DisplayForm
Kenneth Horwitz
Role
RoleTerm (authority = RULIB)
Creator
Affiliation
Rutgers University
Name (id = NAME-2); (type = personal)
NamePart (type = family)
Maher
NamePart (type = given)
Carolyn
DisplayForm
Carolyn Maher
Role
RoleTerm (authority = RULIB)
Publisher
Affiliation
Rutgers University
OriginInfo
DateCreated (qualifier = exact)
2014-02-24T13:19:33-0500
OriginInfo
DateOther (qualifier = exact); (type = modified)
2015-11-17T09:10:21-0500
OriginInfo
DateOther (qualifier = exact); (type = published)
2015-11-17T09:10:59-0500
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## Rights

RightsDeclaration (AUTHORITY = RULIB); (ID = rulibRdec0007)
The author owns the copyright to this work.
Status
Availability
Status
Open
Reason
Note
RightsHolder
Name (TYPE = personal); (ID = R-NAME_0001)
Kenneth Horwitz
Role
Author
ContactInformation
ContactInformationDate
2014-10-02T18:34:58-0500
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## Technical

ContentModel
Analytic
PreservationLevel
full
Generation
born digital source
MimeType (TYPE = file)
application/xml
FileSize (UNIT = bytes)
17929
CreatingApplication
CreatingApplicationName
RUanalytic
CreatingApplicationVersion
2.0
CreatingApplicationDateCreated
2015-11-17T09:10:59-0500
Note
Generated using the RUanalytic tool export function.
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Version 8.4.8