Reasoning-and-Proving in School Mathematics Textbooks
Top Cited Papers
- 14 October 2009
- journal article
- research article
- Published by Taylor & Francis Ltd in Mathematical Thinking and Learning
- Vol. 11 (4), 258-288
- https://doi.org/10.1080/10986060903253954
Abstract
Despite widespread agreement that the activity of reasoning-and-proving should be central to all students' mathematical experiences, many students face serious difficulties with this activity. Mathematics textbooks can play an important role in students' opportunities to engage in reasoning-and-proving: research suggests that many decisions that teachers make about what tasks to implement in their classrooms and when and how to implement them are mediated by the textbooks they use. Yet, little is known about how reasoning-and-proving is promoted in school mathematics textbooks. In this article, I present an analytic/methodological approach for the examination of the opportunities designed in mathematics textbooks for students to engage in reasoning-and-proving. In addition, I exemplify the utility of the approach in an examination of a strategically selected American mathematics textbook series. I use the findings from this examination as a context to discuss issues of textbook design in the domain of reasoning-and-proving that pertain to any textbook series.Keywords
This publication has 17 references indexed in Scilit:
- The Notion of Proof in the Context of Elementary School MathematicsEducational Studies in Mathematics, 2006
- Epistemological messages conveyed by three high-school and college mathematics textbooksThe Journal of Mathematical Behavior, 2004
- Secondary School Mathematics Teachers' Conceptions of ProofJournal for Research in Mathematics Education, 2002
- Conjectures and Refutations in Grade 5 MathematicsJournal for Research in Mathematics Education, 2002
- Some Characteristics of Eighth Grade Mathematics Classes in the TIMSS Videotape StudyThe American Mathematical Monthly, 1998
- What do we know about mathematics curricula?The Journal of Mathematical Behavior, 1994
- Some pedagogical aspects of proofInterchange, 1990
- Proof Frames of Preservice Elementary TeachersJournal for Research in Mathematics Education, 1989
- Generic examples: Seeing the general in the particularEducational Studies in Mathematics, 1984
- A study of pupils' proof-explanations in mathematical situationsEducational Studies in Mathematics, 1976