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Everyone in the same distance. Understanding the essence of loci through own setups and with DGS. (Alle im gleichen Abstand. Das Wesen von Ortslinien durch eigene Aufstellungen und mit DGS begreifen.) (German)
Mathematik 5 bis 10 36, 38-41 (2016).
Classification: G43 U73
1
Non-Euclidean geometries ‒ how many parallel lines do actually exist for a given line? (Nichteuklidische Geometrien ‒ Wie viele Parallelen gibt es eigentlich zu einer Geraden?) (German)
Wurzel 50, No. 2, 32-36 (2016).
Classification: G90
2
The understanding of parallel lines in early nineteenth century textbooks: a comparison between two Norwegian geometry books from 1827 and 1835. (English)
Bjarnadóttir, Kristín (ed.) et al., “Dig where you stand" 3. Proceedings of the third international conference on the history of mathematics education, Uppsala University, Sweden, September 25‒28, 2013. Uppsala: Uppsala University, Department of Education (ISBN 978-91-506-2444-1). 123-135 (2015).
Classification: A30 G40 U20
3
“Oh, it moves!" Shimmering pictures according to Bridget Riley. (“Das bewegt sich ja!" Flimmerbilder nach Bridget Riley.) (German)
Mathematik 5 bis 10 32, 10-13 (2015).
Classification: M83 G93
4
The middle between two straight lines. A big idea interlinks algebra and geometry. (Die Mitte zwischen zwei Geraden. Eine Big Idea vernetzt Algebra und Geometrie.) (German)
MNU, Math. Naturwiss. Unterr. 67, No. 7, 424-428 (2014).
Classification: G70 H70 I20 U70
5
Problem solving through omitting a condition. (Problemlösen durch Fortlassen einer Bedingung.) (German)
Mathematikunterricht 60, No. 4, 3-10 (2014).
Classification: G43 U73
6
Properties of projections. (Eigenschaften von Projektionen.) (German)
Henn, Hans-Wolfgang (ed.) et al., Neue Materialien für einen realitätsbezogenen Mathematikunterricht. Band 1. Heidelberg: Springer Spektrum (ISBN 978-3-658-03627-0/pbk; 978-3-658-03628-7/ebook). Realitätsbezüge im Mathematikunterricht; ISTRON-Schriftenreihe, 53-74 (2014).
Classification: G70 U70 G50
7
How should we consider the continuity of the teaching of geometry from 6 to 15? (Comment peut-on penser la continuité de l’enseignement de la géométrie de 6 à 15 ans? Le jeu sur les supports et les instruments.) (French)
Repères IREM 90, 5-41 (2013).
Classification: D30 G30 G40
8
The relation of the angle sum of a triangle and the property of parallel lines in elementary school mathematics. (Korean. English summary)
J. Korean Soc. Math. Educ., Ser. C, Educ. Prim. Sch. Math. 16, No. 2, 183-192 (2013).
Classification: G40 U20
9
The Euler line and Feuerbach’s point. (Die Eulergerade und Feuerbachs Punkt.) (German)
Wurzel 47, No. 1, 16-22 (2013).
Classification: G40
10
Students’ understanding of geometric properties experienced in a dynamic geometry environment. (English)
Tso, Tai-Yih (ed.), Proceedings of the 36th conference of the International Group for the Psychology of Mathematics Education “Opportunities to learn in mathematics education", PME 36, Taipei, Taiwan, July 18‒22, 2012, Vol. 3. Taipei: National Taiwan Normal University. 59-66 (2012).
Classification: G40 U70 C30
11
Cavalieri directions between two triangles. (Direcciones de Cavalieri entre dos triángulos.) (Spanish. English summary)
Bol., Soc. “Puig Adam" Profr. Mat., No. 92, 30-50 (2012).
Classification: G40 G60
12
Meeting with the mother line. An elegant Origami problem by Kazuo Haga. (Rencontre avec la droite mère. Un élégant problème d’origami de Kazuo Haga.) (French)
Losanges, No. 12, 3-9 (2011).
Classification: G40 D40
13
Study of Saccheri quadrilaterals as a pretext for constructing a local axiomatic system. (Estudio del cuadrilátero de Saccheri como pretexto para la construcción de un sistema axiomático local.) (Spanish. English summary)
Unión, Rev. Iberoam. Educ. Mat., No. 24, 117-134 (2010).
Classification: G45 E45
14
Beginnings of metric stereometry. On distances in space. (Nachala metricheskoj stereometrii. O rasstoyanii v prostranstve.) (Russian)
Mat. Shk., No. 8, 15-26 (2010).
Classification: G53 G43 Reviewer: Elena Glukhova (Moskva)
15
Euclid’s fifth postulate: Teaching proposal for the last year of secondary school. (El quinto postulado de Euclides: Propuesta de clase para el último año de la escuela secundaria.) (Spanish)
Rev. Educ. Mat. 25, No. 2, 3-13 (2010).
Classification: G94 G44 D84
16
On the history of the parallel problem and the non-Euclidean geometries. (Zur Geschichte des Parallelenproblems und der nichteuklidischen Geometrien.) (German)
Mathematikunterricht 56, No. 6, 3-15 (2010).
Classification: G90 G40 E40 A30
17
Finite fields. (Endliche Körper.) (German)
Wurzel 43, No. 3-4, 82-86 (2009).
Classification: H40 M90
18
The search for meaning in the teaching of mathematics illustrated by a study around the theorem of Thales at the end of the junior high school. (La quête du sens dans l’enseignement des mathématiques illustrée par une étude autour du théorème de thalès en fin de collège.) (French)
Petit X, No. 76, 55-78 (2008).
Classification: G43 D23 D43
19
Construction with limited means or: can you decompose a line segment into $n$ parts of equal length using only a ruler? (Konstruktionen mit beschränkten Mitteln oder: Kann man eine Strecke allein mit einem Lineal in $n$ gleich lange Teilstrecken zerlegen?) (German)
Monoid 26, No. 86, 37-39 (2006).
Classification: G40
20
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