Constructing Knowledge for Teaching Secondary Mathematics: - download pdf or read online

By Orit Zaslavsky, Peter Sullivan

ISBN-10: 0387098119

ISBN-13: 9780387098111

ISBN-10: 0387098127

ISBN-13: 9780387098128

Teacher schooling seeks to rework potential and/or working towards academics from neophyte very likely uncritical views on educating and studying to extra a professional, adaptable, analytic, insightful, observant, creative, reflective and assured execs able to tackle no matter what demanding situations instructing secondary arithmetic presents.

This transformation happens optimally via positive engagement in projects that foster wisdom for educating secondary arithmetic. preferably such projects supply a bridge among thought and perform, and problem, shock, disturb, confront, expand, or impress exam of possible choices, drawn from the context of educating. We outline projects because the difficulties or actions that, having been constructed, evaluated and sophisticated through the years, are posed to instructor schooling contributors. Such members are anticipated to have interaction in those projects collaboratively, energetically, and intellectually with an open brain and an orientation to destiny perform. The initiatives will be just like these utilized by school room lecturers (e.g., the research of a graphing challenge) or idiosyncratic to instructor schooling (e.g., critique of videotaped practice).

This edited quantity comprises chapters established round unifying topics of projects utilized in secondary arithmetic instructor schooling. those topics replicate pursuits for arithmetic instructor schooling, and are heavily with regards to a variety of facets of information required for instructing secondary arithmetic. they aren't in line with the normal content material subject matters of instructor schooling (e.g., decimals, grouping practices), yet on large objectives resembling adaptability, determining similarities, effective disposition, overcoming obstacles, micro simulations, picking out instruments, and examine of perform. This technique is leading edge and appeals either to admired authors and to our aim audiences.

This ebook may possibly encourage researchers who have interaction within the learn of layout rules and features of efficient projects for secondary arithmetic instructor education.

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Additional info for Constructing Knowledge for Teaching Secondary Mathematics: Tasks to enhance prospective and practicing teacher learning

Example text

As Lakoff (1987) pointed out, drawing on the work of Rosch (1977), many classification systems depend not on equivalence, as in mathematics, but on having central or paradigmatic examples, and examples of varying degrees of peripheral-ness. Thus a log is not seen as a chair when inside a house, but may be seen as one at a campfire; a stool rarely comes to mind when the word ‘furniture’ is used. In mathematics definitions may seem to make concepts precise, but their power arises from the generality afforded by language.

1007/978-0-387-09812-8_2, ©Â€Springer Science+Business Media, LLC 2011 23 24 D. Chazan et al. al alternatives. Whereas sampling from a large corpus of video records may help teachers conceive of alternative moves a teacher might carry out in a given situation, any one video case narrates one story forcefully and provides few supports for alternative stories that might have happened instead or could have happened in another setting. After all, what happened, happened! And, in addition, video is limited to what has actually happened; it can be hard to find examples of teachers trying non-standard instructional moves.

What are students’ expectations about solving word problems? About time allocation? • How is the questioning of the students influencing their participation and their understanding? • Is it a problem if classroom conversation gets heated? Comparing the Two Alternatives After having seen both alternatives and having discussed them both, in discussions with teachers, one might consider the following questions: • What is the difference between the approaches taken in the two alternatives? • What are the advantages of each of them?

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Constructing Knowledge for Teaching Secondary Mathematics: Tasks to enhance prospective and practicing teacher learning by Orit Zaslavsky, Peter Sullivan

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