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EXAMINING SOCIOMATHEMATICAL NORMS WITHIN THE CONTEXT OF DECIMALS AND FRACTIONS IN A SIXTH GRADE CLASSROOM
Title
EXAMINING SOCIOMATHEMATICAL NORMS WITHIN THE CONTEXT OF DECIMALS AND FRACTIONS IN A SIXTH GRADE CLASSROOM.
Creator
Nardelli, Marino, Dixon, Juli, University of Central Florida
Abstract / Description
Social norms are patterns of behavior expected within a particular society in a given situation. Social norms can be shared belief of what is normal and acceptable shapes and enforces the actions of people in a society. In the educational classroom, they are characteristics that constitute the classroom participation structure. Sociomathematical norms are fine-grained aspects of general social norms specifically related to mathematical practices. These can include, but are not limited to, a...
Show moreSocial norms are patterns of behavior expected within a particular society in a given situation. Social norms can be shared belief of what is normal and acceptable shapes and enforces the actions of people in a society. In the educational classroom, they are characteristics that constitute the classroom participation structure. Sociomathematical norms are fine-grained aspects of general social norms specifically related to mathematical practices. These can include, but are not limited to, a student-centered classroom that includes the expectation that the students should present their solution methods by describing actions on mathematical objects rather than simply accounting for calculational manipulations. For this action research study, my goal was to determine if the role of the teacher would influence the social and sociomathematical norms in a mathematics classroom and in what ways are sociomathematical norms reflected in students' written work. I focused specifically on students' mathematics journal writing and taped conversations. I discovered that students tended to not justify their work. Also, I discovered that my idea of justification was not really justification. I learned from this and was able to change my idea of justification. By encouraging the students to socialize in mathematics class, I found that the quality of their dialogue improved. Students readily discussed mathematical concepts within small groups and whole class discussions.
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Date Issued
2007
Identifier
CFE0001650, ucf:47245
Format
Document (PDF)
PURL
http://purl.flvc.org/ucf/fd/CFE0001650
CHALLENGING A TRADITIONAL SOCIAL NORM IN A SECOND GRADE MATHEMATICS CLASSROOM
Title
CHALLENGING A TRADITIONAL SOCIAL NORM IN A SECOND GRADE MATHEMATICS CLASSROOM.
Creator
Egendoerfer, Lisa, Dixon, Juli K., University of Central Florida
Abstract / Description
In an attempt to examine classroom dialogue within a second grade classroom, I encouraged students to participate in mathematics discussions without needing to raise their hands before speaking. I challenged this traditional social norm and established sociomathematical norms as the study progressed. My study showed the effects of this change on the dialogue of students in my classroom. Focus was placed on the participation in classroom discussions when traditional social and...
Show moreIn an attempt to examine classroom dialogue within a second grade classroom, I encouraged students to participate in mathematics discussions without needing to raise their hands before speaking. I challenged this traditional social norm and established sociomathematical norms as the study progressed. My study showed the effects of this change on the dialogue of students in my classroom. Focus was placed on the participation in classroom discussions when traditional social and sociomathematical norms were in place as well as when new norms were established. The study helped determine the effects of student-centered dialogue on conceptual understanding as demonstrated in the students' discussions, participation, and written expression.
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Date Issued
2006
Identifier
CFE0000946, ucf:46734
Format
Document (PDF)
PURL
http://purl.flvc.org/ucf/fd/CFE0000946
Replacing the "Raise Your Hand to Speak" Rule with New Social and Sociomathematical Norms in an Elementary Mathematics Classroom
Title
Replacing the "Raise Your Hand to Speak" Rule with New Social and Sociomathematical Norms in an Elementary Mathematics Classroom.
Creator
Brooks, Lisa, Dixon, Juli, Andreasen, Janet, Ortiz, Enrique, University of Central Florida
Abstract / Description
This qualitative study documents the establishment of new social and sociomathematical norms in a second grade classroom. The teacher allowed students to speak directly to one another without having to raise their hands first during whole group mathematics instruction. Reform efforts in mathematics and the standards for mathematical practice contained in the Common Core State Standards call for students to discuss their reasoning with each other. Data were collected through interviews with...
Show moreThis qualitative study documents the establishment of new social and sociomathematical norms in a second grade classroom. The teacher allowed students to speak directly to one another without having to raise their hands first during whole group mathematics instruction. Reform efforts in mathematics and the standards for mathematical practice contained in the Common Core State Standards call for students to discuss their reasoning with each other. Data were collected through interviews with the teacher and students, field notes, and video-recorded lessons over the course of 23 days. An online survey tool was utilized to share selected video of the teacher's instruction. Initial professional development topics were chosen from research in mathematics education related to the social construction of understanding. Ongoing professional development was responsive to what occurred during instruction. The literature suggests that teachers often utilize traditional teaching methods and struggle to deviate from established patterns regardless of their desire to implement change. The teacher in this study learned that allowing students to talk openly provided him with insight into their mathematical conceptions and misconceptions. The students initially viewed mathematics as a set of rules to follow and exhibited the role of passive recipients of information. This changed as students were provided opportunities to participate in discussions and in doing so developed a new understanding of their role during mathematics lessons. Mathematical errors became a catalyst for communication and were viewed by students as opportunities for assisting their peers.
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Date Issued
2014
Identifier
CFE0005308, ucf:50517
Format
Document (PDF)
PURL
http://purl.flvc.org/ucf/fd/CFE0005308
THE EFFECTS OF PROBLEM SOLVING STRATEGY INSTRUCTION, JOURNAL WRITING AND DISCOURSE ON 6TH GRADE ADVANCED MATHEMATICS STUDENT PERFORMANCE
Title
THE EFFECTS OF PROBLEM SOLVING STRATEGY INSTRUCTION, JOURNAL WRITING AND DISCOURSE ON 6TH GRADE ADVANCED MATHEMATICS STUDENT PERFORMANCE.
Creator
Wittcop, Melissa, Ortiz, Enrique, University of Central Florida
Abstract / Description
There are two purposes to this study. The first was for me, as a teacher, to try something new in my instruction and grow from it. The second purpose of this study focused on the students. I wanted to see what level of performance in problem solving my students are at currently, and how the use of journaling and discourse affected the students' problem solving abilities. A problem-solving unit was taught heuristically in order to introduce students to the various strategies that could be...
Show moreThere are two purposes to this study. The first was for me, as a teacher, to try something new in my instruction and grow from it. The second purpose of this study focused on the students. I wanted to see what level of performance in problem solving my students are at currently, and how the use of journaling and discourse affected the students' problem solving abilities. A problem-solving unit was taught heuristically in order to introduce students to the various strategies that could be used in problem solving. Math journals were also used for problem solving and reflection. Classroom discourse in discussion of problem solving situations was used as a means of identifying strategies used to solve the problem. Explanations and justifications were then used in writing and discourse to support students' solution and methods. An analytic problem-solving rubric was used to score the problems solved by the students. These scores, along with explanations and justifications, and discourse were used as data and analyzed for common themes. The results of this study demonstrate overall improvement in student performance in problem solving. Heuristic instruction the students received on strategies in problem solving helped to improve their ability to not only select an appropriate strategy, but also implement it. This unit, along with the problem solving prompts solved in the journals, helped to improve the students' performance in explanations. It was discourse combined with all the previous instruction that finally improved student performance in justification.
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Date Issued
2008
Identifier
CFE0002075, ucf:47592
Format
Document (PDF)
PURL
http://purl.flvc.org/ucf/fd/CFE0002075