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Three concepts or one? Students’ understanding of basic limit concepts. (English)
Educ. Stud. Math. 93, No. 3, 315-332 (2016).
Classification: I30 I20 C30
1
Creation of the limits. (Tvorba limít.) (Slovak. English summary)
Obz. mat. fyz. inform. 45, No. 2, 25-31 (2016).
Classification: I20
2
Mathematics of participation: Arrow’s theorem ‒ a subject orientated didactical proposal. (Mathematik der Partizipation: der Satz von Arrow ‒ ein stoffdidaktischer Vorschlag.) (German. English summary)
J. Math.-Didakt. 37, No. 1, 83-105 (2016).
Classification: M70
3
A sequential introduction to real analysis. (English)
Essential Textbooks in Mathematics 1. Hackensack, NJ: World Scientific; London: Imperial College Press (ISBN 978-1-78326-782-8/hbk; 978-1-78326-783-5/pbk). xxii, 251~p. (2016).
Classification: I15 Reviewer: Antonio Linero Bas (Murcia)
4
An approach to integral calculus with the concept of energy. (Ein Einstieg in die Integralrechnung mit dem Energiebegriff.) (German)
MNU J. 69, No. 2, 110-112 (2016).
Classification: I54 M54 U74
5
Stochastic extreme value problems in the bin-occupancy model. II: Maxima of waiting times and coupon collector problems. (Stochastische Extremwertprobleme im Fächer-Modell. II: Maxima von Wartezeiten und Sammelbilderprobleme.) (German)
Stoch. Sch. 36, No. 1, 2-9 (2016).
Classification: K60 K90 M40
6
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
7
Symmetric is optimal ‒ optimal is symmetric. (Symmetrisch ist optimal ‒ optimal ist symmetrisch.) (German)
Monoid 36, No. 125, 33-43 (2016).
Classification: I40
8
A course in analysis. Volume I: Introductory calculus, analysis of functions of one real variable. (English)
Hackensack, NJ: World Scientific (ISBN 978-981-4689-08-3/hbk; 978-981-4689-09-0/pbk). xxiii, 744~p. (2016).
Classification: I15 Reviewer: Sorin-Mihai Grad (Chemnitz)
9
What is calculus? From simple algebra to deep analysis. (English)
Hackensack, NJ: World Scientific (ISBN 978-981-4644-47-1/hbk; 978-981-4644-48-8/pbk). xxxi, 340~p. (2016).
Classification: I15 Reviewer: Sergei V. Rogosin (Minsk)
10
Research on limits. (Investigaciones sobre límites.) (Spanish)
Azcárate, Carmen (ed.) et al., Didáctica del análisis matemático: una revisión de las investigaciones sobre su enseñanza y aprendizaje en el contexto de la SEIEM. Periodo 1997‒2014. La Laguna: Universidad de La Laguna, Servicio de Publicaciones (ISBN 978-84-15939-38-2/pbk). Materiales Didácticos Universitarios; Serie Matemáticas 1, 81-95 (2015).
Classification: I20 C30
11
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
12
Today’s rates of change and stocks with the infinitesimal calculus of yesterday? A historically inspired contribution to avoid rash misinterpretations. (Änderungsraten und Bestände von heute mit dem Infinitesimalkalkül von gestern? Ein historisch inspirierter Beitrag zur Vermeidung vorschneller Fehlinterpretationen.) (German. English summary)
Math. Didact. 38, 302-333 (2015).
Classification: I40 A30 D30 D70 D80
13
A geometric construction of $π$. I: Euler’s polygon. (Eine geometrische Konstruktion von $π$. I: Das Polygon von Euler.) (German)
Monoid 35, No. 123, 9-12 (2015).
Classification: G40 F50 N50
14
A geometric construction of $π$. II: Vièta’s formula. (Eine geometrische Konstruktion von $π$. II: Die Formel von Vièta.) (German)
Monoid 35, No. 124, 27-30 (2015).
Classification: F50 N50 G40
15
Optimal parabola over a rectangle. Variation of a classic problem. (Optimale Parabel über einem Rechteck. Variation eines Klassikers.) (German)
MNU, Math. Naturwiss. Unterr. 68, No. 6, 341-343 (2015).
Classification: I44 I54
16
Harmonic series. (Harmonische Reihen.) (German)
Monoid 35, No. 122, 34-38 (2015).
Classification: I30 A30 K60
17
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
18
Defining: a need to be constructed. The case of the definition of the limit of a function. (Definir: une nécessité à construire. Le cas de la définition de la limite d’une fonction.) (French)
Repères IREM 100, 51-64 (2015).
Classification: E44 I24
19
On the removal of infinities from divergent series. (English)
Philos. Math. Educ. J. 29, 16 p., electronic only (2015).
Classification: E20 E40 I30
20
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