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A proof of van Aubel’s theorem using orthogonal vectors. (English)
Int. J. Math. Educ. Sci. Technol. 47, No. 3, 440-443 (2016).
Classification: G70
1
Backwards and forwards to reach the concept. Construction and re-construction of drag-mode figures. (Vorwärts-Rückwärts zum Begriff. Konstruktion und Re-Konstruktion von Zugfiguren.) (German)
Math. Lehren 33, No. 196, 18-21 (2016).
Classification: G43 D83 U73
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
Parallelograms assigned to convex quadrilaterals. (Konvexen Vierecken zugeordnete Parallelogramme.) (German)
Wurzel 50, No. 6, 138-141 (2016).
Classification: G40
4
A geometric paradox. (Ein geometrisches Paradoxon.) (German)
MNU J. 69, No. 1, 14-18 (2016).
Classification: G74 E54 D74
5
Alternative constructions in triangles. (Alternative Konstruktionen im Dreieck.) (German)
Wurzel 50, No. 3-4, 79-81 (2016).
Classification: G40
6
The parallelogram as a basic form ‒ understanding geometry. (Das Parallelogramm als Grundform ‒ Geometrie verstehen.) (German)
Mathematikunterricht 62, No. 1, 8-16 (2016).
Classification: G13 D33
7
What students of pedagogy know about quadrilaterals? (Co studenci pedagogiki wiedzą o czworokątach?) (Polish. English summary)
Stud. Sci. Fac. Paedagog. 15, No. 4, 147-156 (2016).
Classification: G49 C39
8
Paper folding: a tool in teaching quadrilaterals with the perspective of symmetry. (English)
Stud. Sci. Fac. Paedagog. 15, No. 4, 34-38 (2016).
Classification: G40 D40 U60
9
Properties and relations between quadrilaterals: contributions from geoboard and GeoGebra. A study in grade 4. (Propriedades e relações entre quadriláteros: contributos do geoplano e do GeoGebra. Um estudo no $4.^\circ$ ano de escolaridade.) (Portuguese. English summary)
Quadrante 24, No. 1, 29-57 (2015).
Classification: G42 U62 U72
10
A porism for cyclic quadrilaterals, butterfly theorems, and hyperbolic geometry. (English)
Am. Math. Mon. 122, No. 5, 467-475 (2015).
Classification: G45 Reviewer: Yoshinobu Kamishima (Saitama)
11
Everything all right in the house of quadrilaterals? Student errors and conceptual difficulties while classifying quadrilaterals. (Alles klar im Haus der Vierecke? Schülerfehler und begriffliche Schwierigkeiten beim Klassifizieren von Vierecken.) (German)
Math. Lehren 32, No. 191, 13-15 (2015).
Classification: G43 D73 Reviewer: Renate Stürmer (Zweibrücken)
12
Crossed quadrilaterals: a missed Lakatosian opportunity? (English)
Philos. Math. Educ. J. 29, 6 p., electronic only (2015).
Classification: D20 E20 E40 G40 G90
13
Thinking geometrically. A survey of geometries. (English)
MAA Textbooks. Washington, DC: The Mathematical Association of America (MAA) (ISBN 978-1-93951-208-6/hbk; 978-1-61444-619-4/ebook). xxiii, 559~p. (2015).
Classification: G10 Reviewer: Rolf Riesinger (Wien)
14
A van Aubel theorem revisited. (English)
Math. Spectr. 48, No. 1, 33-36 (2015).
Classification: G40
15
Geometry with a finger. Constructing, experimenting, discovering with “sketchometry" on a tablet PC. (Geometrie mit dem Finger. Konstruieren, experimentieren, entdecken mit “sketchometry" auf dem Tablet-PC.) (German)
Mathematik 5 bis 10 31, 26-29 (2015).
Classification: U73 G43 D83
16
Combinatorics and geometry. Using the Heidelberg angled cross to discover the diagonal properties of quadrilaterals. (Kombinatorik und Geometrie. Diagonaleigenschaften von Vierecken mit dem Heidelberger Winkelkreuz entdecken.) (German)
PM Prax. Math. Sch. 57, No. 61, 12-18 (2015).
Classification: G43 U63
17
Two unit fractions from one. II. (English)
Math. Sch. (Leicester) 44, No. 1, 28-29 (2015).
Classification: F40 F60 G40
18
Bisections and reflections. (English)
Math. Mag. 87, No. 4, 284-290 (2014).
Classification: G40
19
Surface areas of crystals generated by tetrahedrons. (English)
Far East J. Math. Educ. 13, No. 2, 145-158 (2014).
Classification: G45
20
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