Abstract  Introduction  Discourse  Interventions   - Approaches   - Leading Q's   - Non-leading Q's   - Paraphrasing   - Summarizing   - Listening  Decisions  Cylinder Problem  Lesson Reflections  Student Predictions  Project Reflections  Conclusion  References  Acknowledgments  Teacher Resources Authors' Biographies Table of Contents About the Project VIDEO CLIPS: Internet access via modem may mean very long download times for video clips. If you are not on a fast line, you may want to read this paper without viewing the clips. share your thoughts, ideas, questions, and experiences; read what others have to say. Enter your e-mail to be notified of discussion on this videopaper: Privacy Policy		Paraphrasing a student's ideas can serve multiple purposes, although as Jon Basden says at the start of this discussion of teacher interventions, it is not always used to best effect. When used well, paraphrasing indicates to students that they have been heard; used poorly, however, it can distort the student's meaning and refocus attention on figuring out what the teacher is thinking. The objective of paraphrasing should be to help students hear each other's points or to organize their thoughts. In addition, using standard mathematical language to state a student's point can provide a means of introducing mathematics terms to students. In this clip, Judith Koenig tries to understand what her students are talking about by paraphrasing their words and including an example to concretize the idea.   [view clip] Jon Basden also paraphrases a student's definition and uses the full mathematical terms, while providing others with an opportunity to elaborate on this definition.   [view clip] Paraphrasing can also provide an opportunity to link students' use of everyday language and mathematical terms. In this clip, a student explains his prediction while Art Mabbott listens. The student uses the words "shorter" and "wider" to explain his reasoning. Art then refers to "bigger diameter" in paraphrasing the student's prediction, and tries to help others focus on the explanation the student is trying to develop [see more]. In our use of paraphrasing, we are mindful that it might derail a student's thinking. Again, we return to the idea of being responsive rather than prescriptive. If the teacher's goal is to paraphrase in order to redirect the conversation, we expect a different outcome than if we are attempting to draw attention to and encourage the student's thinking. For the latter objective, we commonly hear phrasing such as, "What I hear you saying is...," followed by a close rendering of the student's original statement.

Table of Contents || Authors' Biographies || Bridging Research And Practice || The Math Forum


© 1994-2007 The Math Forum
Contact Us