Doctor of Philosophy, The Ohio State University, 2005, Teaching and Learning
Teacher communication is a central topic in mathematics education. In this investigation expert researchers and national Standards document were used to describe mathematics teachers' verbal communication. In summary, it is a medium for students and teachers to create, organize, and negotiate mathematical thoughts. It has students' thoughts and strategies as the context of the message, and when needed, the teacher redirects or redefines context so students' thoughts and strategies are the focus. The goal for the messages is to provide students a chance to engage mathematical thoughts, promoting students' understanding. This description was analyzed using communication theory, namely message design logic theory. This theory informs us that depending upon the design logic employed by an individual, a different verbal message is provided, and heard. Three known message design logics have been identified: expressive, conventional, and rhetorical. They are developmentally ordered from expressive to rhetorical, and the verbal communication being described by experts and Standard documents resembles the rhetorical message design logic, the most advanced construct. This study investigated 1) what design logics secondary mathematics teachers used; 2) if any factors could be identified influencing teachers' message design logic, for example experience, education, student population, and sex; and 3) how message design logics relate to currently promoted communication. Fifteen secondary mathematics teachers participated. They varied in experience, education, student population, and sex. They took part in an interview and verified a member check document. In the interview, participants responded to two hypothetical, yet realistic, classroom situations. After giving a message, it was played back and the reasoning behind the parts of the message were provided. Finally, they were asked open-ended questions. These data, once verified by the participant, were analyzed using the messa (open full item for complete abstract)
Committee: Patricia Brosnan (Advisor)
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