TY - JOUR

T1 - Lectures in advanced mathematics

T2 - Why students might not understand what the mathematics professor is trying to convey

AU - Lew, Kristen

AU - Fukawa-Connelly, Timothy Patrick

AU - Mejía-Ramos, Juan Pablo

AU - Weber, Keith

N1 - Funding Information:
We are grateful to J. MoBler and Prof. H. Kurreck (Institut flir Organische Chemie, Freie UniversiHit Berlin) for the synthesis of H2TPP, Dr. AA Dubinskii for helpful discussions and B. Endeward and J. Claus for technical support. M. Di v. would like to thank the University of Padua for a Ph.D. scholarship and Prof. K. Mobius for the opportunity to work in Berlin. This work was supported by the Deutsche Forschungsgemeinschaft (Sfb 337).

PY - 2016/3

Y1 - 2016/3

N2 - We describe a case study in which we investigate the effectiveness of a lecture in advanced mathematics. We first videorecorded a lecture delivered by an experienced professor who had a reputation for being an outstanding instructor. Using video recall, we then interviewed the professor to determine the ideas that he intended to convey and how he tried to convey these ideas in this lecture. We also interviewed 6 students to see what they understood from this lecture. The students did not comprehend the ideas that the professor cited as central to his lecture. Based on our analyses, we propose 2 factors to account for why students did not understand these ideas.

AB - We describe a case study in which we investigate the effectiveness of a lecture in advanced mathematics. We first videorecorded a lecture delivered by an experienced professor who had a reputation for being an outstanding instructor. Using video recall, we then interviewed the professor to determine the ideas that he intended to convey and how he tried to convey these ideas in this lecture. We also interviewed 6 students to see what they understood from this lecture. The students did not comprehend the ideas that the professor cited as central to his lecture. Based on our analyses, we propose 2 factors to account for why students did not understand these ideas.

KW - Lecture

KW - Undergraduate mathematics education

UR - http://www.scopus.com/inward/record.url?scp=84969217625&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84969217625&partnerID=8YFLogxK

U2 - 10.5951/jresematheduc.47.2.0162

DO - 10.5951/jresematheduc.47.2.0162

M3 - Review article

AN - SCOPUS:84969217625

SN - 0021-8251

VL - 47

SP - 162

EP - 198

JO - Journal for Research in Mathematics Education

JF - Journal for Research in Mathematics Education

IS - 2

ER -