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How to study for a mathematics degree. Translated from the English by Berhnhard Gerl. (Wie man erfolgreich Mathematik studiert. Besonderheiten eines nicht-trivialen Studiengangs.) (German)
Heidelberg: Springer Spektrum (ISBN 978-3-662-50384-3/pbk; 978-3-662-50385-0/ebook). xviii, 272~p. (2017).
Classification: A15 E45 E55
1
Formative assessment of creativity in undergraduate mathematics: using a creativity-in-progress rubric (CPR) on proving. (English)
Leikin, Roza (ed.) et al., Creativity and giftedness. Interdisciplinary perspectives from mathematics and beyond. Cham: Springer (ISBN 978-3-319-38838-0/hbk; 978-3-319-38840-3/ebook). Advances in Mathematics Education, 23-46 (2017).
Classification: D65 E55 C45
2
Student conceptions of what it means to base a proof on an informal argument. (English)
Int. J. Res. Undergrad. Math. Educ. 2, No. 3, 318-337 (2016).
Classification: E55 C35
3
Conditions for proving by mathematical induction to be explanatory. (English)
J. Math. Behav. 43, 20-34 (2016).
Classification: E55
4
Promoting metalinguistic and metamathematical reasoning in proof-oriented mathematics courses: a method and a framework. (English)
Int. J. Res. Undergrad. Math. Educ. 2, No. 2, 197-222 (2016).
Classification: E55 E45 C55 D75
5
Mathematicians’ example-related activity when exploring and proving conjectures. (English)
Int. J. Res. Undergrad. Math. Educ. 2, No. 2, 165-196 (2016).
Classification: E55
6
Mathematics professors’ evaluation of students’ proofs: a complex teaching practice. (English)
Int. J. Res. Undergrad. Math. Educ. 2, No. 2, 246-278 (2016).
Classification: D65 E55
7
Proof of the continuity at a point for a class of functions of two independent variables by construction. (English)
Math. Comput. Educ. 50, No. 1, 52-56 (2016).
Classification: I65 I25 E55
8
Mathematics majors’ perceptions of the admissibility of graphical inferences in proofs. (English)
Int. J. Res. Undergrad. Math. Educ. 2, No. 1, 1-29 (2016).
Classification: E55
9
Mathematical problem solving and proving: a new concept in the study entry phase. (Mathematisches Problemlösen und Beweisen: ein neues Konzept in der Studieneingangsphase.) (German)
Hoppenbrock, Axel (ed.) et al., Lehren und Lernen von Mathematik in der Studieneingangsphase. Herausforderungen und Lösungsansätze. Wiesbaden: Springer Spektrum (ISBN 978-3-658-10260-9/pbk; 978-3-658-10261-6/ebook). Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, 661-675 (2016).
Classification: D55 E55
10
A framework for identifying and classifying undergraduate student proof errors. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 10, 905-921 (2016).
Classification: E55 D75
11
Student-created definitions of sequence convergence: a case study. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 8, 770-787 (2016).
Classification: E45 E55 I35
12
Flipping the analysis classroom. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 8, 727-735 (2016).
Classification: D45 I15 E55
13
Math majors’ visual proofs in a dynamic environment: the case of limit of a function and the $ε$-$δ$ approach. (English)
Int. J. Math. Educ. Sci. Technol. 46, No. 6, 797-823 (2015).
Classification: I25 U75 E55
14
Independent study workbooks for proofs in group theory. (English)
Int. J. Res. Undergrad. Math. Educ. 1, No. 1, 3-26 (2015).
Classification: U25 H45 E55
15
Reasoning about solutions in linear algebra: the case of Abraham and the invertible matrix theorem. (English)
Int. J. Res. Undergrad. Math. Educ. 1, No. 3, 315-338 (2015).
Classification: H65 E55
16
Effective proof reading strategies for comprehending mathematical proofs. (English)
Int. J. Res. Undergrad. Math. Educ. 1, No. 3, 289-314 (2015).
Classification: E55
17
Factors influencing students’ propensity for semantic and syntactic reasoning in proof writing: a case study. (English)
Int. J. Res. Undergrad. Math. Educ. 1, No. 2, 187-208 (2015).
Classification: E55
18
Undergraduate students’ understanding of proof: relationships between proof conceptions, beliefs, and classroom experiences with learning proof. (English)
Int. J. Res. Undergrad. Math. Educ. 1, No. 1, 91-134 (2015).
Classification: E55 C25
19
Logic, mathematics, and computer science. Modern foundations with practical applications. 2nd edition, originally published under the title Foundations of logic and mathematics. Applications to computer science and cryptography. (English)
New York, NY: Springer (ISBN 978-1-4939-3222-1/hbk; 978-1-4939-3223-8/ebook). xii, 391~p. (2015).
Classification: E35 E65 E55 M45 M55 Reviewer: Merlin Carl (Konstanz)
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