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The planimeter as a real and virtual instrument that mediates an infinitesimal approach to area. (English)
Leung, Allen (ed.) et al., Digital technologies in designing mathematics education tasks. Potential and pitfalls. Cham: Springer (ISBN 978-3-319-43421-6/hbk; 978-3-319-43423-0/ebook). Mathematics Education in the Digital Era 8, 121-149 (2017).
Classification: U70 U60 G30 G70
1
Mathematics education and manipulatives: which, when, how? (English)
Aust. Prim. Math. Classr. 21, No. 1, 12-17 (2016).
Classification: U70 U60 G40
2
Sun crescents. (Sonnensicheln.) (German)
MNU J. 69, No. 5, 310-312 (2016).
Classification: M54 G44 G64
3
On the geometry of parabolas. (Zur Geometrie der Parabeln.) (German)
Mathematikunterricht 62, No. 4, 55-63 (2016).
Classification: G74 G94 G54
4
“The infinite is a square without edges”. Examining areas of squares action-oriented. (“Das Unendliche ist ein Quadrat ohne Ecken”. Flächeninhalte von Quadraten handlungsorientiert untersuchen.) (German)
Schulmag. 5-10 84, No. 3, 21-26 (2016).
Classification: G33 D83 U63
5
“The triangle is just skew\dots!". Calculating “skew" areas on the basis of unit squares. (“Das Dreieck ist halt schief\dots!" Auf der Basis von Einheitsquadraten “schiefe" Flächen berechnen.) (German)
Mathematik 5 bis 10 36, 24-27 (2016).
Classification: G33 D83
6
You need more small coins. Determining the area size by covering it with unit areas. (Man braucht mehr kleine Münzen. Durch Auslegen mit Einheitsflächen den Flächeninhalt bestimmen.) (German)
Mathematik 5 bis 10 36, 14-17 (2016).
Classification: G33 D83
7
The area formula of the triangle. (La formule de l’aire du triangle.) (French)
Repères IREM 102, 5-12 (2016).
Classification: G30 G40
8
A study on sixth grade students’ misconceptions and errors in spatial measurement: length, area, and volume. (English)
Int. J. Sci. Math. Educ. 14, No. 7, 1293-1319 (2016).
Classification: F73 G33 D73
9
Learning together with self-differentiating introductions. (Gemeinsam lernen mit selbstdifferenzierenden Einstiegen.) (German)
PM Prax. Math. Sch. 58, No. 70, 9-13 (2016).
Classification: D43 D53 G33 F43
10
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
11
Maths hub, mastery and messy research. (English)
Adams, G. (ed.), Proceedings of the British Society for Research into Learning Mathematics (BSRLM). Vol. 35, No. 3. Proceedings of the day conference, University of Reading, UK, November 7, 2015. London: British Society for Research into Learning Mathematics (BSRLM). 31-36 (2016).
Classification: B50 D49
12
Tools for assessing readability of statistics teaching materials. (English)
J. Comput. Math. Sci. Teach. 35, No. 2, 153-171 (2016).
Classification: U20 C50 K10
13
The renovation of the park café. Estimating, measuring, calculating in the school’s surroundings. (Die Sanierung des Park-Cafés. Schätzen, Messen, Rechnen in der Umgebung der Schule.) (German)
Mathematik 5 bis 10 35, 22-25 (2016).
Classification: M53 G43 D43 D83
14
Observing and describing growth processes. (Wachstumsprozesse beobachten und beschreiben.) (German)
Math. Lehren 33, No. 196, 51 (2016).
Classification: M53 G33 F83
15
Application-oriented optimization problems ‒ also in the lower secondary school level. (Anwendungsbezogene Optimierungsaufgaben ‒ auch in der Sekundarstufe I.) (German)
MNU J. 69, No. 3, 163-170 (2016).
Classification: M50 N60 I20 H30
16
Why do we need the derivative for the surface area? (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 5, 393-405 (2016).
Classification: I55 I45
17
From Measuring the World to the law of sines. Arousing interest through literary works. (Von der Vermessung der Welt zum Sinussatz. Interesse wecken durch literarische Werke.) (German)
Math. Lehren 33, No. 195, 34-36 (2016).
Classification: G63 D43 A33 D83
18
As big as\dots. Building up ideas of size on units of square measure. (So groß wie\dots. Aufbau von Größenvorstellungen zu Flächenmaßen.) (German)
Mathematik 5 bis 10 35, 8-9 (2016).
Classification: G33 D83
19
The special problem. The area of a dodecagon. (Die besondere Aufgabe. Die Fläche eines Zwölfecks.) (German)
Monoid 36, No. 126, 33-34 (2016).
Classification: G30 G40
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