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The processing of polar quantifiers, and numerosity perception. (English)
Cognition 143, 115-128 (2015).
Classification: C50 C30 F30 F20
1
The second derivative in extreme-value problems ‒ a persistent standard ritual in school. (Die zweite Ableitung bei Extremwertaufgaben ‒ ein hartnäckiges, schulübliches Ritual.) (German)
Mathematikunterricht 61, No. 1, 39-56 (2015).
Classification: I40
2
Positions of extrema and points of inflection. (Extrem- und Wendestellen.) (German)
Mathematikunterricht 61, No. 1, 29-38 (2015).
Classification: I40
3
Arrow’s theorem. (Der Satz von Arrow.) (German)
Hahn, Heike (ed.), Anregungen für den Mathematikunterricht unter der Perspektive von Tradition, Moderne und Lehrerprofessionalität. Festschrift für Regina Dorothea Möller. Hildesheim: Franzbecker (ISBN 978-3-88120-831-4/pbk). 81-101 (2014).
Classification: M40 M70
4
Continuity, monotonicity, oscillation, variation: obvious and surprising aspects. (Stetigkeit, Monotonie, Oszillation, Variation: Naheliegendes und Überraschendes.) (German. English summary)
Math. Semesterber. 61, No. 2, 233-248 (2014).
Classification: I25 I55
5
The derivation of $y=\exp(x)$ without any $0/0$ limit. (Die Ableitung von $y=\exp(x)$ ohne Grenzwert vom Typ $0/0$.) (German)
MNU, Math. Naturwiss. Unterr. 67, No. 8, 469-473 (2014).
Classification: I40 N40
6
Generalisation of Jensen’s inequality. (Verallgemeinerung der Jensenschen Ungleichung.) (German)
Wurzel 48, No. 8, 187-194 (2014).
Classification: I20 I30 H30 E50
7
Proof without words: monotonicity of $\tan x/x$ on $(0, π/2)$. (English)
Coll. Math. J. 44, No. 5, 420-420 (2013).
Classification: I20 G60
8
Proof without words: monotonicity of $\sin x/x$ on $(0, π/ 2)$. (English)
Coll. Math. J. 44, No. 5, 408-408 (2013).
Classification: I20 G60
9
Different aspects of the monotonicity of a function. (English)
Int. J. Math. Educ. Sci. Technol. 44, No. 8, 1117-1130 (2013).
Classification: I25 I45
10
Students’ understanding of the monotonicity of exponential functions. (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. 4. Kiel: IPN‒Leibniz Institute for Science and Mathematics Education at the University of Kiel (ISBN 978-3-89088-290-1). 33-40 (2013).
Classification: I24 D74
11
The study of sequences defined by a first order recursion by means of a pocket calculator. (English)
Teach. Math. Comput. Sci. 11, No. 2, 231-240 (2013).
Classification: I30 U70
12
Sequences of cycles of four real numbers. (Folgen von Viererzyklen.) (German)
Wurzel 46, No. 11, 250-253 (2012).
Classification: H40 I30 F60
13
On a property of continuous functions and some conclusions. (O proprietate a funcţiilor continue şi câteva consecinţe.) (Romanian. English summary)
Gaz. Mat., Ser. B 117, No. 2, 60-70 (2012).
Classification: I20
14
Determine the maximum of the function - without differential calculus. (Man bestimme das Maximum der Funktion - ohne Differentialrechnung.) (German)
Mathematikinformation, No. 54, 26-43 (2011).
Classification: I20 N60
15
From exponentiation to logarithms. (Vom Potenzrechnen zum Logarithmus.) (German)
Mathematikinformation, No. 52, 3-78 (2010).
Classification: F50 I20 U60
16
A new look at the convergence of a famous sequence. (English)
Int. J. Math. Educ. Sci. Technol. 41, No. 8, 1079-1085 (2010).
Classification: I35
17
On the Tarski-Knaster fixed-point theorem and its application. (English)
Math. Medley 35, No. 2, 12-20 (2009).
Classification: I90 E60 I20
18
Inequalities with elementary functions. (Ungleichungen mit elementaren Funktionen.) (German)
Mathematikunterricht 55, No. 5, 4-14 (2009).
Classification: H30 I20
19
ECOMath 1. Mathematics for economists. (ECOMath 1. Mathematik für Wirtschaftswissenschaftler.) (German)
Springer-Lehrbuch. Berlin: Springer (ISBN 978-3-540-89051-5/pbk). x, 541~p. (2009).
20
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