Discrete Mathematics

Elena Nardi's Amongst Mathematicians: Teaching and Learning Mathematics at PDF

By Elena Nardi

ISBN-10: 0387371419

ISBN-13: 9780387371412

ISBN-10: 0387371435

ISBN-13: 9780387371436

Among Mathematicians bargains a different viewpoint at the ways that mathematicians understand their scholars' studying, educate and contemplate their instructing perform; additionally on how they understand the customarily fragile courting among the groups of arithmetic and arithmetic education.Elena Nardi employs fictional, but totally data-grounded, characters to create a talk on those very important concerns. whereas personas are created, the proof integrated into their tales are in accordance with huge our bodies of knowledge together with severe targeted staff interviews with mathematicians and huge analyses of scholars' written paintings. This booklet demonstrates the pedagogical strength that lies in collaborative undergraduate arithmetic schooling examine that engages mathematicians, researchers and scholars. Nardi additionally addresses the necessity for motion in undergraduate arithmetic schooling and gives a discourse for reform via demonstrating the feasibility and power of collaboration among mathematicians and arithmetic schooling researchers.Amongst Mathematicians is of curiosity to either the math and arithmetic schooling groups together with collage lecturers, instructor educators, undergraduate and graduate scholars, and researchers.

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Additional info for Amongst Mathematicians: Teaching and Learning Mathematics at University Level

Example text

Historically the habit of choosing a minimum counterexample, m and n having no common factors and reaching contradiction because of that, is a modern habit. I, namely in Example 1 of Dataset used in the fifth Cycle of Data Collection (Students’ Enactment of Proving Techniques). The original piece of transcript used to produce this brief monologue is the following19: M1: R1: M2: M3: M4: M1: M3: M2: R2: M4: R2: M3: …[I am quite pleased with what is written here] apart from one or two things that need rescuing like the initial declaration.

Y for Episodes, Special Episodes and Out-Takes from Chapter x and y standing for the number of Episode, Special Episode or Out-Take within the chapter. CHAPTER 2: METHODOLOGY 35 associating the very context-specific discussion in the dialogue with its more general addressing in the literature32). The experience of and feedback from the sessions would, I hoped, indicate ways in which these issues could be resolved. And largely it did. Most of the decisions regarding the state of the text as it currently stands were finalised in the aftermath of these sessions33 and in the work that took place in August 200534.

Between then and now I have had two more opportunities to present succinctly the rationale for (and way of) my using of the dialogic format. One was the CERME4 paper I mention in the Post-script; the other the Delphi Summer School sessions I also mention in the Post-script. The following is from the script I used for my introduction to those sessions (July 2005): ‘The dialogue consists […] of M and RME’s utterances, let’s call them ‘quotations’ – please note the inverted commas. The text within M’s ‘quotations’ is a consolidation of verbatim quotations from across the board of the twenty participants in the last study I CHAPTER 2: METHODOLOGY 27 mentioned.

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Amongst Mathematicians: Teaching and Learning Mathematics at University Level by Elena Nardi

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