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Elementary reflections on the Collatz problem. (Elementare Überlegungen zum Collatz-Problem.) (German)
MNU J. 69, No. 5, 312-317 (2016).
Classification: F64 I34
1
Making limits “experienceable". Developing fundamental conceptions with the help of experiments. (Grenzwerte “erlebbar" machen. Grundvorstellungen mithilfe von Experimenten aufbauen.) (German)
PM Prax. Math. Sch. 57, No. 65, 33-40 (2015).
Classification: I24 I34 D44 D84
2
Logistic function as an explicit function of a sequence. (Logistische Funktion als explizite Funktion einer Folge.) (German)
MNU, Math. Naturwiss. Unterr. 68, No. 5, 281-282 (2015).
Classification: I24 I34 I74
3
The analytic eye on a piece of A4-sized paper. (Der analytische Blick auf ein DIN-A4-Blatt.) (German)
PM Prax. Math. Sch. 57, No. 62, 9-13 (2015).
Classification: F53 I34 N53 N54 M93 M94
4
Sizes and measures. (Grandeurs et mesures.) (French)
Repères IREM 97, 59-66 (2014).
Classification: I34 I44
5
Empirical positivism, an epistemological obstacle in the learning of calculus. (English)
ZDM, Int. J. Math. Educ. 46, No. 4, 635-646 (2014).
Classification: I24 I25 I34 I35 D24 D25
6
Knowledge transformation between secondary school and university mathematics. (English)
Rezat, Sebastian (ed.) et al., Transformation ‒ a fundamental idea of mathematics education. New York, NY: Springer (ISBN 978-1-4614-3488-7/hbk; 978-1-4614-3489-4/ebook). 51-63 (2014).
Classification: D34 D35 I34 I35
7
Discrete growth and its sequences. (Diskretes Wachstum und seine Folgen.) (German)
MNU, Math. Naturwiss. Unterr. 67, No. 2, 102-104 (2014).
Classification: I34 I24 M34 M54
8
Stochastics versus analysis. Stabilising is not the same as converging. (Stochastik versus Analysis. Stabilisieren ist nicht Konvergieren.) (German)
Math. Lehren 30, No. 180, 41-43 (2013).
Classification: K64 I34 Reviewer: Renate Stürmer (Zweibrücken)
9
Students’ personal relationship with the convergence of series of real numbers as a consequence of teaching practices. (English)
Lindmeier, Anke M. (ed.) et al., Proceedings of the 37th conference of the International Group for the Psychology of Mathematics Education “Mathematics learning across the life span", PME 37, Kiel, Germany, July 28‒August 2, 2013. Vol. 2. Kiel: IPN‒Leibniz Institute for Science and Mathematics Education at the University of Kiel (ISBN 978-3-89088-288-8). 361-368 (2013).
Classification: I34 C34 D44
10
An accessible limit. With glass tubes and tables to equilibriums. (Ein Grenzwert zum Anfassen. Mit Glasröhrchen und Tabellen zu Gleichgewichten.) (German)
Math. Lehren 30, No. 180, 34-37 (2013).
Classification: I34 M54 Reviewer: Renate Stürmer (Zweibrücken)
11
At a point in time there is no speed ‒ or is there? Putting the local rate of change in a better order. (Zu einem Zeitpunkt gibt es keine Geschwindigkeit ‒ oder doch? Die lokale Änderungsrate besser einordnen.) (German)
Math. Lehren 30, No. 180, 30-33 (2013).
Classification: I34 D44 Reviewer: Renate Stürmer (Zweibrücken)
12
The harmonical tower of Korschenbroich. (Der harmonische Turm von Korschenbroich.) (German)
Math. Lehren 30, No. 180, 23-25 (2013).
Classification: I34 D84 Reviewer: Renate Stürmer (Zweibrücken)
13
Mean values and functions. (Mittelwerte und Funktionen.) (German)
Mathematikunterricht 59, No. 2, 49-58 (2013).
Classification: I24 I34 I44 H34
14
An empirical study in convergence via iteration and its visualization. (English)
Teach. Math. 15, No. 2, 85-112 (2012).
Classification: I34 C34 U74
15
When it is worth generalizing. (Amikor érdemes általánositani.) (Hungarian)
Polygon 20, No. 2, 33-48 (2012).
Classification: D54 F34 H34 I34 Reviewer: Eszter Kónya (Debrecen)
16
Educational proposal of mathematical analysis for high school. (Proposte didattiche di analisi matematica per il liceo.) (Italian)
Boll. Docenti Mat. 64, 109-116 (2012).
Classification: I74 I34 I24
17
Some sum formulas in mathematical education. (Niektoré súčtové vzorce vo vyučovaní matematiky.) (Slovak. English summary)
Šedivý, Ondrej (ed.) et al., Acta Mathematica 15. Zborník príspevkov z X. nitrianskej matematickej konferencie. Nitra: Constantine The Philosopher University in Nitra, Faculty of Natural Sciences (ISBN 978-80-558-0135-3). Prírodovedec 515, 83-87 (2012).
Classification: I34 I44
18
About the number $e$. (English)
Appl. Math. Sci., Ruse 6, No. 89-92, 4505-4510 (2012).
Classification: H34 I34
19
Using disks as models for proofs of series. (English)
Math. Teach. (Reston) 106, No. 1, 46-50 (2012).
Classification: I34 U64
20
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