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People’s conditional probability judgments follow probability theory (plus noise). (English)
Cogn. Psychol. 89, 106-133 (2016).
Classification: K50 C30
1
The central idea of “measuring" ‒ using the potential of a central idea. (Die Leitidee “Messen" ‒ das Potential einer Leitidee nutzen.) (German)
Mathematik 5 bis 10 36, 42-45 (2016).
Classification: D33 F73 G33
2
Discovering, exploring and proving theorems. Towards Varignon’s theorem in a systematic and dynamic way. (Sätze entdecken, erforschen und beweisen. Systematisch und dynamisch zum Satz von Varignon.) (German)
Math. Lehren 33, No. 196, 13-17 (2016).
Classification: G43 D43 D53 U73
3
Explorations as an instructional mode. (Explorationen als Unterrichtsform.) (German)
Stoch. Sch. 36, No. 2, 10-16 (2016).
Classification: D40 K10
4
Problem solving by dynamising. On the Spiegel puzzle of the week “The cross with the circle". (Problemlösen durch Dynamisieren. Zum Spiegel-Rätsel der Woche “Das Kreuz mit dem Kreis".) (German)
PM Prax. Math. Sch. 58, No. 68, 34-38 (2016).
Classification: D53 G43 U73
5
What is the size of our new sports ground? Supporting mental agility with the principle of decomposition and completion. (Wie groß ist unser neues Sportgelände? Geistige Beweglichkeit fördern mit dem Zerlegungs- und Ergänzungsprinzip.) (German)
PM Prax. Math. Sch. 58, No. 68, 15-21 (2016).
Classification: D53 G33 G43
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
Breaking down barriers ‒ but how? Discussing ways to reach a solution and re-enacting them. (Barrieren überwinden ‒ aber wie? Über Lösungswege diskutieren und sie nachvollziehen.) (German)
Grundschulzeitschrift 29, No. 283/284, 36-39 (2015).
Classification: D52 F92
8
The influence of GeoGebra on operative apprehension and heuristic exploration of figures. (A influência do registro figural software GeoGebra na apreensão operatória e na pesquisa heurística de figuras.) (Portuguese. English summary)
Amado, Nélia (ed.) et al., Proceedings of the 12th international conference on technology in mathematics teaching, ICTMT 12. Faro: University of Algarve (ISBN 978-989-8472-68-7). 648-655 (2015).
Classification: U70 G40 D50
9
Experimenting with circles and triangles. Recognizing and consolidating strategies and principles of problem solving. (Experimentieren mit Kreisen und Dreiecken. Problemlösestrategien und -prinzipien erkennen und festigen.) (German)
PM Prax. Math. Sch. 57, No. 65, 27-32 (2015).
Classification: G43 G53 D43 D83 U73
10
Teaching mathematical modelling: demonstrating enrichment and elaboration. (English)
Int. J. Math. Teach. Learn. 2015, 16 p., electronic only (2015).
Classification: M10 K90
11
On the psychology of mathematical problem solving by gifted students. (English)
Teach. Math. Comput. Sci. 13, No. 2, 289-301 (2015).
Classification: D50 C30 C20
12
Analysing problem-solving processes with the help of solution graphs and refined Pólya’s phases. (Analyse von Problemlöseprozessen mit Hilfe von Lösungsgraphen und verfeinerten Pólya-Phasen.) (German)
Kuzle, Ana (ed.) et al., Problemlösen ‒ gestalten und beforschen. Tagungsband der Herbsttagung des GDM-Arbeitskreises Problemlösen in Münster 2014. Münster: WTM-Verlag (ISBN 978-3-942197-75-5/pbk; 978-3-942197-87-8/ebook). Ars Inveniendi et Dejudicandi 4, 93-129 (2015).
Classification: D50 C30
13
The nature of problem-solving processes while using technology with the example of dynamic geometry software: effects of, by means of, and through digital media. (Wesen der Problemlöseprozesse beim Technologieeinsatz am Beispiel dynamischer Geometriesoftware: Effekte mittels, von und durch digitale Medien.) (German)
Kuzle, Ana (ed.) et al., Problemlösen ‒ gestalten und beforschen. Tagungsband der Herbsttagung des GDM-Arbeitskreises Problemlösen in Münster 2014. Münster: WTM-Verlag (ISBN 978-3-942197-75-5/pbk; 978-3-942197-87-8/ebook). Ars Inveniendi et Dejudicandi 4, 59-74 (2015).
Classification: D50 U70
14
Implications from Pólya and Krutetskii. (English)
Cho, Sung Je (ed.), Selected regular lectures from the 12th international congress on mathematical education, ICME 12, Seoul, Korea, July 8‒15, 2012. Cham: Springer (ISBN 978-3-319-17186-9/hbk; 978-3-319-17187-6/ebook). 405-416 (2015).
Classification: D50 C40
15
Learning by playing in virtual spaces. Training spatial ability with three-dimensional computer games. (Spielend lernen in virtuellen Räumen. Mit 3D-Computerspielen die Raumvorstellung schulen.) (German)
Math. Lehren 32, No. 189, 15-19 (2015).
Classification: U73 C33 G23 C43 Reviewer: Renate Stürmer (Zweibrücken)
16
Risk intuitions and perceptions: a case study of four year 13 (grade 12) students. (English)
Math. Enthus. 12, No. 1-3, 330-346 (2015).
Classification: D34 K94 K54 K74 C34
17
Euler’s inequality. A computer-assisted approach. (Die Euler’sche Ungleichung. Ein computerunterstützter Zugang.) (German)
MNU, Math. Naturwiss. Unterr. 68, No. 1, 17-20 (2015).
Classification: G40 U70
18
Probability \& perception. The representativeness heuristic in action. (English)
Math. Teach. (Reston) 108, No. 2, 126-131 (2014).
Classification: K50 K90 U70
19
Comparison of probabilities and statistical inference. Abilities of children in grade 4 and 6 to handle basic problems from the field of data and chance. (Wahrscheinlichkeitsvergleich und inferenzstatistisches Schließen. Fähigkeiten von Kindern des 4. und 6. Schuljahrs bei Basisproblemen aus dem Bereich Daten und Zufall.) (German. English summary)
Math. Didact. 37, 30-60 (2014).
Classification: K52 K72 K53 K73
20
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