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Introduction of differential calculus in the class 10 with graphical calculator. (English)
Ann. Math. Inform. 45, 161-177 (2015).
Classification: I43 I23 U73
1
Analysing motions and interpreting graphs. (Bewegungen analysieren und Graphen interpretieren.) (German)
PM Prax. Math. Sch. 57, No. 62, 38-39 (2015).
Classification: M53 I23 I43 U73
2
Using digital tools to improve the understanding of derivation. An introduction into differential calculus with digital tools. (Ableitung besser verstehen mit digitalen Werkzeugen. Ein Einstieg in die Differenzialrechnung mit digitalen Werkzeugen.) (German)
PM Prax. Math. Sch. 57, No. 62, 31-37 (2015).
Classification: I43 U73 M53
3
Local linearization and thermal expansion. Fundamental mathematical concept for the explanation of physical phenomena. (Lokale Linearisierung und Wärmeausdehnung. Mathematische Grundvorstellung zur Erklärung physikalischer Phänomene.) (German)
PM Prax. Math. Sch. 57, No. 62, 28-30 (2015).
Classification: I43 I44 M50
4
From functional dependencies ‒ to extreme value problems. ({\cyr Ot funktsionalp1nykh zavisimoste\u{i} ‒ k e1kstrimalp1nym zadacham}.) (Russian)
Mat. Shk., No. 4, 28-33 (2014).
Classification: G43 I43 D53 Reviewer: Elena Glukhova (Moskva)
5
Teaching limits. Propaedeutic experiences and specifications. (Grenzwerte unterrichten. Propädeutische Erfahrungen und Präzisierungen.) (German)
Math. Lehren 30, No. 180, 2-10 (2013).
Classification: I23 I24 I33 I43 E43 E44 Reviewer: Renate Stürmer (Zweibrücken)
6
Discoveries at circles and ellipses. (Entdeckungen an Kreisen und Ellipsen.) (German)
PM Prax. Math. Sch. 55, No. 50, 30-34 (2013).
Classification: I43 D83 U73
7
The history of Mariana’s derivative: an experiment in didactics. (A história da derivada de Mariana: uma experiência didática.) (Portuguese. English summary)
Bolema 26, No. 42B, 393-407 (2012).
Classification: I43 U63
8
What is rate? does context or representation matter? (English)
Math. Educ. Res. J. 23, No. 4, 455-477 (2011).
Classification: I43 D73
9
Derivatives in a parcel. (Proizvodnaya v posylke.) (Russian)
Mat. Shk., No. 4, 36-38 (2010).
Classification: D53 H33 I43 Reviewer: Elena Glukhova (Moskva)
10
How does an onboard-computer work? From the discrete description to the Fundamental Theorem of Calculus. (Wie funktioniert ein Bordcomputer? Von der diskreten Beschreibung zum Hauptsatz der Infinitesimalrechnung.) (German)
PM Prax. Math. Sch. 52, No. 31, 30-34 (2010).
Classification: I44 I43 U73 U74 R23 R24
11
Calculus in the middle school? (English)
Math. Teach. Middle Sch. 15, No. 6, 348-353 (2010).
Classification: I43
12
Understanding change ‒ from a discrete point of view. (Veränderung verstehen ‒ aus diskreter Sicht.) (German)
PM Prax. Math. Sch. 52, No. 31, 9-13 (2010).
Classification: I24 I44 C34 I23 I43 C33
13
Minimal solutions to the box problem. (English)
Coll. Math. J. 40, No. 5, 354-360 (2009).
Classification: H33 H34 I43 I44
14
GPS and Google-maps, spreadsheets, calculus and vectors. (Dem “Navi" auf der Spur mit Google-maps, Tabellenkalkulation, Analysis und Vektorrechnung.) (German)
MNU, Math. Naturwiss. Unterr. 62, No. 8, 468-477 (2009).
Classification: M53 M54 G63 G64 G73 G74 I43 I44 I53 I54 D83 D84
15
Tangent lines without calculus. (English)
Math. Teach. (Reston) 101, No. 7, 499-503 (2008).
Classification: M53 M54 I23 I24 I43 I44
16
Cross-country run. A differentiating qualitative approach to differential calculus. (Querfeldeinlauf. Ein differenzierender und qualitativer Zugang zur Differentialrechnung.) (German)
PM Prax. Math. Sch. 49, No. 17, 43-44 (2007).
Classification: I43 I44
17
The concept of the derivative in modelling and applications. (English)
Haines, Christopher (ed.) et al., Mathematical modelling (ICTMA 12): Education, engineering and economics. Proceedings from the 12th international conference on the teaching of mathematical modelling and applications, London, UK, July 10‒14, 2005. Chichester: Horwood (ISBN 978-1-904275-20-6/pbk). 288-293 (2007).
Classification: I43 M53 M43 C33
18
Solving trigonometric equations by the extreme value method. (Reshenie trigonometricheskikh uravnenij metodom ehkstremal’nykh znachenij.) (Russian)
Mat. Shk., No. 6, 64-65 (2005).
Classification: G63 I43 D43
19
Whole numbers and algebraic expressions in 2$\degree$ ESO. A didactical experience with an algebraic puzzle. (Números enteros y expresiones algebraicas en 2$\degree$ de ESO. Experiencia didáctica con el Puzzle algebraico.) (Spanish)
Form. Profr. Investig. Educ. Mat. 6, 107-133 (2004).
Classification: U63 I43 D63 H23
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