Elena Nardi (auth.)9780387371412, 9780387371436, 0387371419
Amongst Mathematicians offers a unique perspective on the ways in which mathematicians perceive their students’ learning, teach and reflect on their teaching practice; also on how they perceive the often fragile relationship between the communities of mathematics and mathematics education.
Elena Nardi employs two fictional, yet entirely data-grounded, characters to create a conversation on these important issues. While personas are created, the facts incorporated into their stories are based on large bodies of data including intense focused group interviews with mathematicians and extensive analyses of students’ written work. This book demonstrates the pedagogical potential that lies in collaborative undergraduate mathematics education research that engages mathematicians, researchers and students. Nardi also addresses the need for action in undergraduate mathematics education and offers a discourse for reform through demonstrating the feasibility and potential of collaboration between mathematicians and mathematics education researchers.
Amongst Mathematicians is of interest to both the mathematics and mathematics education communities including university teachers, teacher educators, undergraduate and graduate students, and researchers.
Table of contents :
Front Matter….Pages I-XII
Background And Context….Pages 3-14
Method, Process And Presentation….Pages 15-39
The Encounter With Formal Mathematical Reasoning: Conceptualising Its Significance And Enacting Its Techniques….Pages 41-110
Mediating Mathematical Meaning Through Symbolisation, Verbalisation and Visualisation….Pages 111-160
The Encounter With the Concept Of Function….Pages 161-180
The Encounter With the Concept Of Limit….Pages 181-204
Undergraduate Mathematics Pedagogy….Pages 205-256
Fragile, yet Crucial: The Relationship Between Mathematicians and Researchers in Mathematics Education….Pages 257-292
Back Matter….Pages 293-341
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