This book offers a unique perspective on ways in which mathematicians: perceive their students' learning; teach; reflect on their teaching practice. Elena Nardi achieves this by employing two fictional, yet entirely data-grounded, characters to create a conversation on these important issues. The construction of these characters is based on large bodies of data including intense focused group interviews with mathematicians and extensive analyses of students' written work, collected and analyzed over a substantial period.
Background And Context.- Method, Process And Presentation.- The Encounter With Formal Mathematical Reasoning: Conceptualising Its Significance And Enacting Its Techniques.- Mediating Mathematical Meaning Through Symbolisation, Verbalisation and Visualisation.- The Encounter With the Concept Of Function.- The Encounter With the Concept Of Limit.- Undergraduate Mathematics Pedagogy.- Fragile, yet Crucial: The Relationship Between Mathematicians and Researchers in Mathematics Education.
Acknowledgements.- Prologue.- Background and Context.- Method, Process and Presentation.- The Encounter with Formal Mathematical Reasoning: Conceptualising its Significance and Enacting its Techniques.- Mediating Mathematical Meaning Through Symbolisation, Verbalisation and Viisualisation.- The Encounter with the Concept of Function.- The Encounter with the Concept of Limit.- Undergraduate Mathematics Pedagogy.- on The Fragile, Yet Crucial, Relationship Between M and Rme.- Epilogue.- Bibliography.