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Curve sketching by Johann Bernoulli. (Kurvendiskussion bei Johann Bernoulli.) (German)
Mathematikunterricht 62, No. 2, 53-64 (2016).
Classification: A30 I40
1
How eighteenth-century mathematics was transformed into nineteenth-century school curricula. (English)
Rezat, Sebastian (ed.) et al., Transformation ‒ a fundamental idea of mathematics education. New York, NY: Springer (ISBN 978-1-4614-3488-7/hbk; 978-1-4614-3489-4/ebook). 5-27 (2014).
Classification: A30 D30 I10
2
History in mathematics education. A hermeneutic approach. (English)
Fried, Michael N. (ed.) et al., Mathematics and mathematics education. Searching for common ground. Dordrecht: Springer (ISBN 978-94-007-7472-8/hbk; 978-94-007-7473-5/ebook). Advances in Mathematics Education, 75-88 (2014).
Classification: A30
3
The body mass index ‒ from Quetelet to Haldane. (Der Body-Mass-Index ‒ von Quetelet zu Haldane.) (German)
Wassong, Thomas (ed.) et al., Mit Werkzeugen Mathematik und Stochastik lernen. Heidelberg: Springer Spektrum (ISBN 978-3-658-03103-9/pbk; 978-3-658-03104-6/ebook). 15-30 (2014).
Classification: M60 K40 A30 F80
4
Reasoning and proving. (Argumentieren und Beweisen.) (German)
Bruder, Regina (ed.) et al., Handbuch der Mathematikdidaktik. Heidelberg: Springer Spektrum (ISBN 978-3-642-35118-1/hbk; 978-3-642-35119-8/ebook). 331-355 (2013).
Classification: E50
5
Interpretation of formulas using the function concept. (Interpretation von Formeln mit Hilfe des Funktionsbegriffs.) (German)
Allmendinger, Henrike (ed.) et al., Mathematik verständlich unterrichten. Perspektiven für Unterricht und Lehrerbildung. Wiesbaden: Springer Spektrum (ISBN 978-3-658-00991-5/pbk; 978-3-658-00992-2/ebook). 63-77 (2013).
Classification: I20 G30 M50
6
Understanding what a proof is: a classroom-based approach. (English)
ZDM, Int. J. Math. Educ. 45, No. 3, 469-482 (2013).
Classification: E50 C70 M50 D40
7
Conceptions of proof ‒ in research and teaching. (English)
Hanna, Gila (ed.) et al., Proof and proving in mathematics education. The 19th ICMI study. Berlin: Springer (ISBN 978-94-007-2128-9/hbk; 978-94-007-2129-6/ebook). New ICMI Study Series 15, 169-190 (2012).
Classification: E50 C20 C30 E20
8
Hypothesis forming and proving in historical context. (Hypothesenbildung und Beweisen im historischen Kontext.) (German)
Herget, Wilfried et al., Mathematik ‒ Ideen ‒ Geschichte. Anregungen für den Mathematikunterricht. Festschrift für Karin Richter. Hildesheim: Franzbecker (ISBN 978-3-88120-819-2/pbk). 221-231 (2011).
Classification: E50 A30 G40 M50
9
Explanation and proof in mathematics. Philosophical and educational perspectives. Based on the conference, Essen, Germany, November 2006. (English)
Berlin: Springer (ISBN 978-1-4419-0575-8/hbk; 978-1-4419-0576-5/ebook). viii, 294~p. (2010).
Classification: E10 E20 A30 E50 Reviewer: Claudi Alsina (Barcelona)
10
Introduction. (English)
Hanna, Gila (ed.) et al., Explanation and proof in mathematics. Philosophical and educational perspectives. Based on the conference, Essen, Germany, November 2006. Berlin: Springer (ISBN 978-1-4419-0575-8/hbk; 978-1-4419-0576-5/ebook). 1-13 (2010).
Classification: A60 E50 E20
11
The conjoint origin of proof and theoretical physics. (English)
Hanna, Gila (ed.) et al., Explanation and proof in mathematics. Philosophical and educational perspectives. Based on the conference, Essen, Germany, November 2006. Berlin: Springer (ISBN 978-1-4419-0575-8/hbk; 978-1-4419-0576-5/ebook). 17-32 (2010).
Classification: A30 E50 E20 M50
12
Hypotheses and their consequences. A different look on the angle sum theorems. (Hypothesen und ihre Konsequenzen. Ein anderer Blick auf die Winkelsummensätze.) (German)
PM Prax. Math. Sch. 51, No. 30, 26-30 (2009).
Classification: E53 G43 E43 E54 G44 E44
13
History of mathematics. The variety of living environments - courage to divergent thinking. (Geschichte der Mathematik. Vielfalt der Lebenswelten - Mut zu divergentem Denken.) (German)
Math. Lehren, No. 151, 4-7 (2008).
Classification: A30 D40 Reviewer: Renate Stürmer (Zweibrücken)
14
Theorems that admit exceptions, including a remark on Toulmin. (English)
ZDM, Int. J. Math. Educ. 40, No. 3, 363-371 (2008).
Classification: E50
15
Proofs and hypotheses. (English)
ZDM, Int. J. Math. Educ. 39, No. 1-2, 79-86 (2007).
Classification: E50 D40 G40
16
On the role of geometry in algebra. (Zur Rolle der Geometrie in der Algebra.) (German)
Barzel, Bärbel (ed.) et al., Algebraisches Denken: Festschrift für Lisa Hefendehl-Hebeker. Hildesheim: Franzbecker (ISBN 978-3-88120-467-5/pbk). 71-80 (2007).
Classification: H23 H24 G43 G44 D33 D34
17
Proving and hypothetic-deductive thinking. (Beweisen und hypothetisch-deduktives Denken.) (German)
Mathematikunterricht 53, No. 5, 10-21 (2007).
Classification: E50 A30 D20
18
Proving and modelling. (English)
Blum, Werner (ed.) et al., Modelling and applications in mathematics education. The 14th ICMI study. New York, NY: Springer (ISBN 0-387-29820-7/hbk). New ICMI Study Series 10, 145-152 (2007).
Classification: M10 E50
19
Historical sources in the mathematics classroom: Ideas and experiences. (English)
Fujita, Hiroshi et al., Proceedings of the ninth international congress on mathematical education (ICME-9). Kluwer Academic Publ., Norwell, MA (ISBN 1-4020-7902-8). 136-138 (2004).
Classification: I44 D44
20
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