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THE INFLUENCE OF VIRTUAL MANIPULATIVES ONSECOND GRADER'S ACQUISITION OF PLACE VALUE CONCEPTS
Title
THE INFLUENCE OF VIRTUAL MANIPULATIVES ONSECOND GRADER'S ACQUISITION OF PLACE VALUE CONCEPTS.
Creator
Jolicoeur, Kay, Dixon, Juli, University of Central Florida
Abstract / Description
The purpose of this study was to examine my own practice of teaching place value and the influence virtual manipulatives had, in addition to physical manipulatives, on place value understanding of my second grade students. I wanted to see how adding a base-ten computer applet might better meet the needs of all learners while also meeting the needs of today's technological classroom. Through this study, I found that both physical and virtual manipulatives helped students acquire place value...
Show moreThe purpose of this study was to examine my own practice of teaching place value and the influence virtual manipulatives had, in addition to physical manipulatives, on place value understanding of my second grade students. I wanted to see how adding a base-ten computer applet might better meet the needs of all learners while also meeting the needs of today's technological classroom. Through this study, I found that both physical and virtual manipulatives helped students acquire place value concepts. I found that virtual manipulatives had features that engaged students in a way that increased their mathematical language, increased students' ability to represent more conceptual understanding of composing and decomposing numbers, and express enthusiasm towards mathematics. A pretest and posttest revealed that students' academic performance increased. While research on virtual manipulatives and mathematical achievement is fairly recent, this study offers insight to other classroom teachers and the research community.
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Date Issued
2011
Identifier
CFE0003763, ucf:48799
Format
Document (PDF)
PURL
http://purl.flvc.org/ucf/fd/CFE0003763
LINKING PLACE VALUE CONCEPTS WITH COMPUTATIONAL PRACTICES IN THIRD GRADE
Title
LINKING PLACE VALUE CONCEPTS WITH COMPUTATIONAL PRACTICES IN THIRD GRADE.
Creator
Cuffel, Terry, Dixon, Jule, University of Central Florida
Abstract / Description
In an attempt to examine student understanding of place value with third graders, I conducted action research with a small group of girls to determine if my use of instructional strategies would encourage the development of conceptual understanding of place value. Strategies that have been found to encourage conceptual development of place value, such as use of the candy factory, were incorporated into my instruction. Instructional strategies were adjusted as the study progressed to meet the...
Show moreIn an attempt to examine student understanding of place value with third graders, I conducted action research with a small group of girls to determine if my use of instructional strategies would encourage the development of conceptual understanding of place value. Strategies that have been found to encourage conceptual development of place value, such as use of the candy factory, were incorporated into my instruction. Instructional strategies were adjusted as the study progressed to meet the needs of the students and the development of their understanding of place value. Student explanations of their use of strategies contributed to my interpretation of their understanding. Additionally, I examined the strategies that the students chose to use when adding or subtracting multidigit numbers. Student understanding was demonstrated through group discussion and written and oral explanations. My observations, anecdotal records and audio recordings allowed me to further analyze student understanding. The results of my research seem to corroborate previous research studies that emphasize the difficulty that many students have in understanding place value at the conceptual level.
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Date Issued
2009
Identifier
CFE0002634, ucf:48196
Format
Document (PDF)
PURL
http://purl.flvc.org/ucf/fd/CFE0002634
CLASSROOM MATHEMATICAL PRACTICES IN A PRESERVICE ELEMENTARY MATHEMATICS EDUCATION COURSE USING AN INSTRUCTIONAL SEQUENCE RELATED TO PLACE VALUE AND OPERATIONS
Title
CLASSROOM MATHEMATICAL PRACTICES IN A PRESERVICE ELEMENTARY MATHEMATICS EDUCATION COURSE USING AN INSTRUCTIONAL SEQUENCE RELATED TO PLACE VALUE AND OPERATIONS.
Creator
Andreasen, Janet, Dixon, Juli, University of Central Florida
Abstract / Description
This qualitative study documents a classroom teaching experiment in a semester-long undergraduate mathematics education course for 16 prospective elementary school teachers. The purpose of this study was to investigate how social aspects of the classroom environment facilitated the collective mathematical learning of place value and whole number operations by preservice elementary school teachers. Design-based research methodology was used for formulating the study. A hypothetical learning...
Show moreThis qualitative study documents a classroom teaching experiment in a semester-long undergraduate mathematics education course for 16 prospective elementary school teachers. The purpose of this study was to investigate how social aspects of the classroom environment facilitated the collective mathematical learning of place value and whole number operations by preservice elementary school teachers. Design-based research methodology was used for formulating the study. A hypothetical learning trajectory and instructional sequence related to place value and operations were created and refined in the two semesters prior to this study. The instructional sequence was in its third iteration for this study. The developmental levels that children progress through in learning place value and operations were used in identifying the learning trajectory and supporting tasks in which the preservice teachers were asked to engage. A large portion of the instructional sequence involved a setting of base eight instead of base ten. The sequence returned to base ten in order to discuss whole number operations and alternative strategies for operations in an effort to further develop the preservice teachers' conceptual understandings of place value and operations and to examine children's thinking strategies. Data were collected through video-taped recordings of class sessions, audio-taped recordings of table discussions and research team meetings, field notes, and journals written by the research team. Sixteen preservice teachers participated in the study which lasted over 5 class sessions of 3 hours and 10 minutes each. The emergent perspective which attempts to coordinate the individual learning and the social aspects of the classroom that support collective learning was used as an interpretive lens for data collection and analysis. The social aspects along with some aspects of individual student understandings together give an indication of collective mathematical understandings of the students as a whole group. Social norms established were: a) the expectation of providing explanations and justifications for solutions and solution methods, b) making sense of each other's solutions and c) asking questions of classmates or the instructor. Sociomathematical norms that were valued but not fully established were: a) criteria for different solutions and solution methods and b) criteria for what constituted a good explanation. Data analysis for the establishment of classroom mathematical practices was conducted using Toulmin's argumentation model (Toulmin, 1969). A three phase approach described by Rasmussen and Stephan (in press) was used in determining what constituted a classroom mathematical practice. The classroom mathematical practices that facilitated student learning in this study were: a) unitizing, b) flexibly representing numbers, and c) reasoning about operations. This study led to the refinement of the hypothetical learning trajectory and further progress in defining an instructional theory of how preservice teachers may come to understand place value and whole number operations.
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Date Issued
2006
Identifier
CFE0000917, ucf:46718
Format
Document (PDF)
PURL
http://purl.flvc.org/ucf/fd/CFE0000917
The Effects of Journaling and Vocabulary Strategies on Elementary Students' Attitudes Towards Mathematical Performance
Title
The Effects of Journaling and Vocabulary Strategies on Elementary Students' Attitudes Towards Mathematical Performance.
Creator
Janzen, Renee, Gresham, Regina, Haciomeroglu, Erhan, Roberts, Sherron, University of Central Florida
Abstract / Description
In an attempt to examine the effects of journaling and vocabulary strategies on elementary students' attitudes towards mathematical performance, I embedded reflective journaling and vocabulary strategies into my fourth grade mathematics curriculum. The mathematics content focused on whole number place value, multiplication, and division. My study revealed the positive effects these interventions can have on elementary students' attitudes towards mathematics.
Date Issued
2012
Identifier
CFE0004266, ucf:49520
Format
Document (PDF)
PURL
http://purl.flvc.org/ucf/fd/CFE0004266
The Influence of Instruction in Base 8 on Prospective Teachers' Mathematical Knowledge for Teaching
Title
The Influence of Instruction in Base 8 on Prospective Teachers' Mathematical Knowledge for Teaching.
Creator
Harshman, Katie, Haciomeroglu, Erhan, Andreasen, Janet, Witta, Eleanor, Safi, Farshid, Lewis, Nancy, University of Central Florida
Abstract / Description
The focus of this research project was to extend existing research literature by providing insight to how prospective teachers with differing levels of mathematical knowledge developed their conceptual understanding of whole number concepts and operations. Prospective teachers of interest were enrolled in an Elementary School Mathematics Course for Teachers (in the College of Education) with a whole number concepts and operations unit set entirely in base 8. In this mixed-mode study,...
Show moreThe focus of this research project was to extend existing research literature by providing insight to how prospective teachers with differing levels of mathematical knowledge developed their conceptual understanding of whole number concepts and operations. Prospective teachers of interest were enrolled in an Elementary School Mathematics Course for Teachers (in the College of Education) with a whole number concepts and operations unit set entirely in base 8. In this mixed-mode study, participants were given the MKT, a measure designed to measure teacher mathematical knowledge for teaching, before and after taking the base 8 unit. The researcher focused on two specific constructs: Common Content Knowledge (CCK) and Specialized Content Knowledge (SCK). The qualitative portion of the study involved carefully constructed student interviews which allowed the researcher to deeply explore how prospective teacher conceptual understanding changed as a result of taking the unit in base 8. Four participants with varying levels of knowledge were selected to be interviewed based upon initial scores on the MKT: 1) low CCK and low SCK, 2) low CCK and high SCK, 3) high CCK and low SCK, 4) high CCK and high SCK. Results of the interviews were used to help explain results from the MKT. Quantitative and qualitative results showed that participants did not significantly increase their CCK, but did experience an increase in their conceptual understanding (SCK) as a result of taking the unit in base 8. Most prospective teachers entering the Elementary School Mathematics Course already had high procedural knowledge of the algorithms associated with elementary mathematics, which could account for the non-significant increase in CCK. Prospective teachers all showed deeper conceptual understanding of whole number concepts and operations at varying levels by the end of the base 8 unit. Prospective teachers showed their increased understanding by way of explanations, justifications, and alternate solution strategies.
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Date Issued
2016
Identifier
CFE0006321, ucf:51552
Format
Document (PDF)
PURL
http://purl.flvc.org/ucf/fd/CFE0006321