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Fractional equations. How to use intra-classroom grouping to prepare topics demanding many prerequisites. (Bruchgleichungen. Wie man voraussetzungsreiche Themen binnendifferenziert aufbereiten kann.) (German)
PM Prax. Math. Sch. 58, No. 70, 21-24 (2016).
Classification: H33 D43 D53
1
Discovering by exercising ‒ exercising by discovering. (Übend entdecken ‒ Entdeckend üben.) (German)
PM Prax. Math. Sch. 58, No. 67, 32-35 (2016).
Classification: D43 G33
2
Exercising while learning. (Üben beim Lernen.) (German)
PM Prax. Math. Sch. 58, No. 67, 28-31 (2016).
Classification: D43 F83 D53 D83
3
The first weeks in mathematics education. Using children’s prior knowledge as a starting point, picking it up, expanding it step by step and structuring it usefully. (Die ersten Wochen im Mathematikunterricht. An das Vorwissen der Kinder anknüpfen, es aufgreifen, Schritt für Schritt erweitern und sinnvoll strukturieren.) (German)
Grundsch.unterr., Math. 62, No. 4, 12-16 (2015).
Classification: F22 D42 F32
4
That is even less than nothing! Determining previous experience with the topic of “negative numbers". (Das ist ja weniger als nichts! Vorerfahrungen zum Thema “Negative Zahlen" ermitteln.) (English)
Mathematik 5 bis 10 33, 8-11 (2015).
Classification: F43 D73 U63
5
Gender, previous knowledge, personality traits and subject-specific motivation as predictors of students’ math grade in upper-secondary school. (English)
Eur. J. Psychol. Educ. 30, No. 3, 313-330 (2015).
Classification: C23 C43 C63 C33
6
Developing geometric skills through activities in lessons of mathematics. (English)
Acta Didact. Univ. Comen., Math. 14, 71-86 (2014).
Classification: G40 M80
7
They’ll need it for calculus. (English)
Math. Teach. Middle Sch. 20, No. 5, 260-265 (2014).
Classification: D23 I23
8
Making a mathematical symphony: emphasis on relational thinking and connections. (English)
Ohio J. Sch. Math. 70, 11-15 (2014).
Classification: D39 C32
9
But I’ve known that for a long time! Activating, developing and using previous experience in percentages. (Das weiß ich doch schon längst! Vorerfahrungen zur Prozentrechnung aktivieren, aufbauen und nutzen.) (German)
Mathematik 5 bis 10 29, 6-7 (2014).
Classification: F83 D83 U63
10
“Vividness" from the point of view of student teachers. A didactic principle for specific teacher-training courses in the introductory phase of university studies. (“Anschaulichkeit" aus der Sicht von Lehramtsstudierenden. Ein didaktisches Prinzip für lehramtsspezifische Lehrveranstaltungen in der Studieneingangsphase.) (German. English summary)
Math. Didact. 37, 137-162 (2014).
Classification: B55 C79 D49
11
“Infinite". Developing conceptions of the inconceivable by counting and arranging. (“Unendlich". Zählend und ordnend Vorstellungen vom Unvorstellbaren entwickeln.) (German)
PM Prax. Math. Sch. 56, No. 59, 31-36 (2014).
Classification: E60 D84 I20 F20 F50
12
Mathematical education in kindergarten ‒ evaluation of the support programme “Mina and the mole" and reflection on variants of professional development. (Mathematische Bildung im Kindergarten ‒ Evaluation des Förderprogramms “Mina und der Maulwurf" und Betrachtung von Fortbildungsvarianten.) (German)
Hasselhorn, Marcus (ed.) et al., Diagnostik mathematischer Kompetenzen. Göttingen: Hogrefe (ISBN 978-3-8017-2533-4/pbk). Jahrbuch der Pädagogisch-Psychologischen Diagnostik. Tests und Trends. Neue Folge 11, 113-134 (2013).
Classification: F21 F31 D71 C31 C91 D31
13
Student struggles: solving for missing angle measures. (English)
Math. Teach. (Derby) 234, 14-18 (2013).
Classification: G40 D40 D80
14
About students’ individual concepts of negative integers ‒ in terms of the order relation. (English)
Ubuz, Behiye (ed.) et al., CERME 8. Proceedings of the eigth congress of the European Society of Research in Mathematics Education, Antalya, Turkey, February 6‒10, 2013. Ankara: Middle East Technical University (ISBN 978-975-429-315-9). 373-382 (2013).
Classification: F43
15
Ethnomathematics and teacher education: reasoning over the meaning of students’ prerequisite and the teacher’s listening. (English)
Ubuz, Behiye (ed.) et al., CERME 8. Proceedings of the eigth congress of the European Society of Research in Mathematics Education, Antalya, Turkey, February 6‒10, 2013. Ankara: Middle East Technical University (ISBN 978-975-429-315-9). 1705-1714 (2013).
Classification: C60 D30 C30
16
We conquer the numbers up to 1000. A competency-oriented learning environment on the extension of the number domain. (Wir erobern die Zahlen bis 1000. Eine kompetenzorientierte Lernumgebung zur Zahlenraumerweiterung.) (German)
Grundsch.unterr., Math. 60, No. 2, 31-45 (2013).
Classification: F32 D82
17
“Soon, I am a schoolchild!". Building on children’s experience and previous knowledge. (“Bald bin ich ein Schulkind!". An Erfahrungen und Vorwissen der Kinder anknüpfen.) (German)
Grundsch.unterr., Math. 60, No. 4, 7-11 (2013).
Classification: D31 D32
18
Building students’ reasoning skills by promoting student-led discussions in an Algebra II class. (English)
Math. Educ. (Athens) 23, No. 1, 3-23 (2013).
Classification: D44 E54 I24
19
The future of the academic standard required for university entrance in the school subject of mathematics. (Zukunft der Hochschulreife im Schulfach Mathematik.) (German)
Mathematikinformation 2013, No. 59, 44-60 (2013).
Classification: D30 B20 B60
20
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