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Reproducing with GeoGebra the computation of a sphere’s volume due to Archimedes. (Recreando con GeoGebra el cálculo del volumen de la esfera ideado por Arquímedes.) (Spanish. English summary)
Bol., Soc. “Puig Adam” Profr. Mat., No. 102, 62-72 (2016).
Classification: U70 G40
1
The cone ‒ a special pyramid. Independently developing the formula to calculate a cone’s volume. (Der Kegel ‒ eine spezielle Pyramide. Die Formel zur Berechnung des Kegelvolumens selbstständig erarbeiten.) (German)
Mathematik 5 bis 10 36, 30-33 (2016).
Classification: G33 D83
2
“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
3
Building with unit cubes. Deeper understanding of area and volume with the help of unit cubes. (Bauen mit Einheitswürfeln. Flächen- und Rauminhalte mit Hilfe von Einheitswürfeln durchdringen.) (German)
Grundschulmagazin 84, No. 1, 29-33 (2016).
Classification: G30 G40 U60
4
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
5
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
6
Observing and describing growth processes. (Wachstumsprozesse beobachten und beschreiben.) (German)
Math. Lehren 33, No. 196, 51 (2016).
Classification: M53 G33 F83
7
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
8
Box full of mathematics. (English)
Ohio J. Sch. Math. 73, 31-36 (2016).
Classification: G43 H23 U63 M80
9
What does still fit into it? Modelling with pyramid-shaped tea bags. (Was passt da noch rein? Modellieren mit pyramidenförmigen Teebeuteln.) (German)
PM Prax. Math. Sch. 58, No. 69, 21-25 (2016).
Classification: G40 U70
10
Learning problem-solving skills in the subject area of geometry. (Probleme lösen lernen im Themenfeld Geometrie.) (German)
Math. Lehren 33, No. 196, 2-8 (2016).
Classification: D53 G43
11
Visualising cubic reasoning with semiotic resources and modeling cycles. (English)
Saénz-Ludlow, Adalira (ed.) et al., Semiotics as a tool for learning mathematics. How to describe the construction, visualisation, and communication of mathematical concepts. Rotterdam: Sense Publishers (ISBN 978-94-6300-336-0/hbk; 978-94-6300-335-3/pbk; 978-94-6300-337-7/ebook). Semiotic Perspectives in the Teaching and Learning of Mathematics Series 3, 89-109 (2016).
Classification: U60 E50 G30 M60 M50
12
“There’s still more that fits in there!" An experiment on volume. (“Da passt doch viel mehr rein!" Ein Experiment zum Rauminhalt.) (German)
Math. Differ. 7, No. 1, 34-39 (2016).
Classification: G32 G22 D42 D82
13
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
14
An orderly system. Storage of station material. (Ordnung im System. Aufbewahrung von Stationenmaterial.) (German)
Mathematik 5 bis 10 34, 16-17 (2016).
Classification: D43 D83 G43 U63
15
Comprehension-oriented investigation of functions ‒ dynamic reflections on the volume of truncated cones. (Verständnisorientierte Funktionsuntersuchungen ‒ dynamische Betrachtungen zum Kegelstumpfvolumen.) (German)
Mathematikunterricht 62, No. 1, 46-54 (2016).
Classification: I44 D34 U74
16
Learning about surface area through a digital fabrication-augmented unit. (English)
J. Comput. Math. Sci. Teach. 35, No. 1, 33-59 (2016).
Classification: G33 U73 D83
17
Construction of dynamical models in the study of phenomena related with change or variation and the solution of problems. (La construcción de modelos dinámicos en el estudio de fenómenos de cambio o variación y la resolución de problemas.) (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, 163-177 (2015).
Classification: M50 I40 I50 D50
18
Modeling the shapes of cells. (English)
Math. Teach. Middle Sch. 21, No. 3, 180-188 (2015).
Classification: M63 U63 G33
19
Using STEM to reinforce measurement skills. (English)
Teach. Child. Math. 22, No. 3, 196-199 (2015).
Classification: M50 F70 G30 D80
20
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