Constructing Knowledge for Teaching Secondary Mathematics: by Orit Zaslavsky, Peter Sullivan

By Orit Zaslavsky, Peter Sullivan

Teacher schooling seeks to remodel potential and/or training academics from neophyte in all probability uncritical views on instructing and studying to extra an expert, adaptable, analytic, insightful, observant, imaginative, reflective and assured pros able to deal with no matter what demanding situations instructing secondary arithmetic presents.

This transformation happens optimally via positive engagement in projects that foster wisdom for instructing secondary arithmetic. preferably such initiatives offer a bridge among concept 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 built, evaluated and sophisticated through the years, are posed to instructor schooling contributors. Such individuals are anticipated to interact in those projects collaboratively, energetically, and intellectually with an open brain and an orientation to destiny perform. The projects could be just like these utilized by lecture room academics (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 issues of projects utilized in secondary arithmetic instructor schooling. those topics replicate pursuits for arithmetic instructor schooling, and are heavily with regards to a number of features of data required for educating secondary arithmetic. they don't seem to be in keeping with the normal content material issues of instructor schooling (e.g., decimals, grouping practices), yet on extensive ambitions akin to adaptability, selecting similarities, efficient disposition, overcoming boundaries, micro simulations, picking out instruments, and research of perform. This method is leading edge and appeals either to well known authors and to our goal audiences.

This e-book might encourage researchers who have interaction within the research of layout rules and features of effective initiatives for secondary arithmetic instructor education.

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By Orit Zaslavsky, Peter Sullivan

Teacher schooling seeks to remodel potential and/or training academics from neophyte in all probability uncritical views on instructing and studying to extra an expert, adaptable, analytic, insightful, observant, imaginative, reflective and assured pros able to deal with no matter what demanding situations instructing secondary arithmetic presents.

This transformation happens optimally via positive engagement in projects that foster wisdom for instructing secondary arithmetic. preferably such initiatives offer a bridge among concept 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 built, evaluated and sophisticated through the years, are posed to instructor schooling contributors. Such individuals are anticipated to interact in those projects collaboratively, energetically, and intellectually with an open brain and an orientation to destiny perform. The projects could be just like these utilized by lecture room academics (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 issues of projects utilized in secondary arithmetic instructor schooling. those topics replicate pursuits for arithmetic instructor schooling, and are heavily with regards to a number of features of data required for educating secondary arithmetic. they don't seem to be in keeping with the normal content material issues of instructor schooling (e.g., decimals, grouping practices), yet on extensive ambitions akin to adaptability, selecting similarities, efficient disposition, overcoming boundaries, micro simulations, picking out instruments, and research of perform. This method is leading edge and appeals either to well known authors and to our goal audiences.

This e-book might encourage researchers who have interaction within the research of layout rules and features of effective initiatives for secondary arithmetic instructor education.

Show description

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

Instructor schooling seeks to rework potential and/or training lecturers from neophyte potentially uncritical views on instructing and studying to extra a professional, adaptable, analytic, insightful, observant, imaginative, reflective and assured pros able to deal with no matter what demanding situations educating secondary arithmetic provides.

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Paper presented at the annual meeting of AERA, Chicago. , & Herbst, P. (2007a). Geometry teachers’ perspectives on convincing and proving when installing a theorem in class. In T. Lamberg & L. R. €366–373). Reno: University of Nevada. , & Herbst, P. (2007b). The nature and role of proof when installing theorems: The perspective of geometry teachers. In J. H. Woo, H. C. Lew, K. S. Park, & D. Y. €281–288). Seoul: PME. Office of Educational Research and Improvement (Producer). (1998). Video Examples from the TIMSS Videotape Classroom Study: Eighth Grade Mathematics in Germany, Japan, and the United States [CD-ROM].

It is the ‘same way’ which is important, not the particularities of counting the perforations themselves that contributes to learners’ mathematical thinking. Indeed, the multiplicity of similar tasks suggests finding structural approaches rather than resorting to actual counting. The calculations alluded to so far are all ‘doing’ calculations, however general. ‘Undoing’ questions take the form of characterising those numbers of perforations which can arise from a particular size of stamp (number of perforations on each side and in the corners of each stamp), and in how many ways.

For each alternative we suggest specific sets of questions that might be addressed to both prospective and practicing teachers about these stories. The Alternative “A Correct Solution Method” and Questions  for Teacher Discussion In this alternative, the Animated Teacher focuses on the right answer by choosing to call on Orange, a student who had the right answer, to come up to the board and show what he did. We discuss this alternative in three parts. In the first part of this alternative, Orange uses a common ‘method’, one that the teacher has presumably taught: a “Distance equals Rate times Time” chart1 to generate an equation to solve.

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