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Feedback and discrepancies of a physical toolkit and a digital toolkit: opportunities and pitfalls for mediating the concept of rotational symmetry. (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, 259-283 (2017).
Classification: U70 G40 G50 D50 D60
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1
On the geometry of parabolas. (Zur Geometrie der Parabeln.) (German)
Mathematikunterricht 62, No. 4, 55-63 (2016).
Classification: G74 G94 G54
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2
Pole and polar with respect to a circle ‒ the circle inversion. (Pol und Polare am Kreis ‒ die Kreisspiegelung.) (German)
Mathematikunterricht 62, No. 4, 44-54 (2016).
Classification: G54 G74 M54
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3
Symmetries in plane and space. Congruence transformation as a cover transformation of figures. (Symmetrien in der Ebene und im Raum. Kongruenzabbildungen als Deckabbildungen von Figuren.) (German)
Grundsch. Math. 49, 32-35 (2016).
Classification: G52 G42 E42
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4
“Two reflections always result in a rotation." Examining reflections and rotations at a rectangle. (“Zwei Spiegelungen ergeben eine Drehung" Untersuchungen von Spiegelungen und Drehungen am Rechteck.) (German)
Grundsch. Math. 49, 20-23 (2016).
Classification: G52 G42 D42
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5
Reflecting parrots. The change of direction in reflecting. (Papageien spiegeln. Der Richtungswechsel beim Spiegeln.) (German)
Grundsch. Math. 49, 7-9 (2016).
Classification: G52 G42 D82 G22
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6
A study on a contraction in Euclidean plane. (Estudio de una contracción en el plano euclídeo.) (Spanish. English summary)
Bol., Soc. “Puig Adam” Profr. Mat., No. 102, 42-50 (2016).
Classification: G50 G40
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7
The symmetric cow. Constructing own mirror puzzles and exploring symmetries. (Die symmetrische Kuh. Eigene Spiegelrätsel erstellen und Symmetrien erkunden.) (German)
Grundsch. Math. 49, 24-27 (2016).
Classification: G42 G52 D42 A22
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8
Symmetries in a picture book. The book “Some are different" as an occasion for reflections about symmetry. (Symmetrien im Bilderbuch. Das Buch “Manche sind anders" als Reflexionsanlass für Symmetrie.) (German)
Grundsch. Math. 49, 14-16 (2016).
Classification: G42 U62 G52 G22 D42
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9
“Are we today working in the workshop again?" First experiences with axial symmetry in the plane. (“Arbeiten wir heute wieder in der Werkstatt?" Erste Erfahrungen mit der Achsensymmetrie in der Ebene.) (German)
Grundsch. Math. 49, 10-13 (2016).
Classification: G42 D82 U62 G52 G22 D42
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10
Developmental steps in axial symmetry. How manufacturing methods can build on previous knowledge. (Entwicklungsschritte bei der Achsensymmetrie. Wie Herstellungsverfahren auf Vorkenntnissen aufbauen können.) (German)
Grundsch. Math. 49, 4-6 (2016).
Classification: G22 G42 G52
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11
An eye on achievements. Observing the understanding of spatial symmetry differentiated and process-related. (Leistungen im Blick. Symmetrieverständnis differenziert und prozessbezogen beobachten.) (German)
Grundsch. Math. 49, 28-31 (2016).
Classification: D62 G42 G52 D42 C62
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12
Sphere, cone, shearing, and stereographic projection. (Kugel, Kegel, Scherung und stereographische Projektion.) (German)
Mathematikinformation 64, 33-56 (2016).
Classification: G50 G60 G70 M50
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13
A supplement to Haga’s theorem. II. (Eine Ergänzung zum Satz von Haga. II.) (German)
Wurzel 50, No. 7, 158-162 (2016).
Classification: G40 G50
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14
Students’ conceptions of reflection: opportunities for making connections with perpendicular bisector. (English)
J. Math. Behav. 43, 35-52 (2016).
Classification: G40 G50
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15
A supplement to Haga’s theorem. I. (Eine Ergänzung zum Satz von Haga. I.) (German)
Wurzel 50, No. 6, 124-127 (2016).
Classification: G40 G50
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16
Constants in change. (Unveränderliche in der Veränderung.) (German)
Monoid 36, No. 125, 12-19 (2016).
Classification: G50 H70 E50 N70 I90
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17
Away from Euclid $\dots$ and back again? Congruence and transformation geometry in the didactic discussion in the GDR. (Weg von Euklid $\dots$ und wieder zurück? Kongruenz- vs. Abbildungsgeometrie in der didaktischen Diskussion in der DDR.) (German)
Math. Semesterber. 63, No. 1, 93-134 (2016).
Classification: A30 G40 G50 D30
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18
The role of virtual manipulatives in high school students’ understanding of geometric transformations. (English)
Moyer-Packenham, Patricia S. (ed.), International perspectives on teaching and learning mathematics with virtual manipulatives. Cham: Springer (ISBN 978-3-319-32716-7/hbk; 978-3-319-32718-1/ebook). Mathematics Education in the Digital Era 7, 213-243 (2016).
Classification: U70 G50 C30
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19
Challenging problems. A chessboard inside out. (Uitdagende problemen. Een schaakbord binnenstebuiten keren.) (Dutch)
Euclides 90, No. 6, 23-25 (2015).
Classification: G40 G50
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