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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
A course in analysis. Volume I: Introductory calculus, analysis of functions of one real variable. (English)
Hackensack, NJ: World Scientific (ISBN 978-981-4689-08-3/hbk; 978-981-4689-09-0/pbk). xxiii, 744~p. (2016).
Classification: I15 Reviewer: Sorin-Mihai Grad (Chemnitz)
2
What is calculus? From simple algebra to deep analysis. (English)
Hackensack, NJ: World Scientific (ISBN 978-981-4644-47-1/hbk; 978-981-4644-48-8/pbk). xxxi, 340~p. (2016).
Classification: I15 Reviewer: Sergei V. Rogosin (Minsk)
3
Analysis of errors in derivatives of trigonometric functions. (English)
Int. J. STEM Educ. 2, No. 1, Paper No. 16, 16 p., electronic only (2015).
Classification: D70 I40
4
Maximum and minimum: approaches to these concepts in Portuguese textbooks. (English)
Bjarnadóttir, Kristín (ed.) et al., “Dig where you stand" 3. Proceedings of the third international conference on the history of mathematics education, Uppsala University, Sweden, September 25‒28, 2013. Uppsala: Uppsala University, Department of Education (ISBN 978-91-506-2444-1). 377-387 (2015).
Classification: A30 I20 I40 U20
5
Making implicit multivariable calculus representations explicit: a clinical study. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 25, No. 6, 529-541 (2015).
Classification: I65 I45 I55
6
A new proof of the equality of mixed second partial derivatives. (English)
Am. Math. Mon. 122, No. 6, 602-603 (2015).
Classification: I60 Reviewer: Sorin-Mihai Grad (Chemnitz)
7
Ideas. Deriving after feeling? Thus, it doesn’t work\dots. (Ideenkiste. Ableiten nach Gefühl? So geht’s nicht\dots.) (German)
Math. Lehren 32, No. 191, 48-50 (2015).
Classification: I44 D44 D74 Reviewer: Renate Stürmer (Zweibrücken)
8
An introduction to classical real analysis. Corrected reprint of the 1981 original published by Wadsworth. (English)
Providence, RI: AMS Chelsea Publishing (ISBN 978-1-4704-2544-9/hbk). xiv, 577~p. (2015).
Classification: I15 Reviewer: Werner Kleinert (Berlin)
9
Illustrative differential calculus using a magnifying glass for functions. (Anschauliche Differenzialrechnung mit der Funktionenlupe.) (German)
MNU, Math. Naturwiss. Unterr. 68, No. 5, 273-277 (2015).
Classification: I44
10
Deriving the sine function: differentials bring about understanding. (Die Sinusfunktion ableiten: Differenziale stiften Einsicht.) (German)
PM Prax. Math. Sch. 57, No. 64, 38-39 (2015).
Classification: I40 I20 G60 E50
11
Bring your own device. Searching for extreme values with pupils’ own devices. (Bring your own device (BYOD). Suche nach Extremwerten auf schülereigenen Geräten.) (German)
Math. Lehren 32, No. 189, 30-35 (2015).
Classification: I44 D44 U74 Reviewer: Renate Stürmer (Zweibrücken)
12
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
13
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
14
The analytic eye. The concept of approximation in context with functional relationships. (Der analytische Blick. Die Idee der Approximation im Kontext des funktionalen Zusammenhangs.) (German)
PM Prax. Math. Sch. 57, No. 62, 2-8 (2015).
Classification: F53 I24 I44 I54 N50
15
Toward a proof of the chain rule. (English)
Ohio J. Sch. Math. 71, 20-25 (2015).
Classification: I40 E50
16
Relating the interior of certain geometric figures to their boundary via differentiation. (English)
Math. Comput. Educ. 49, No. 1, 33-46 (2015).
Classification: I40 I60 G30 G90
17
The second derivative in extreme-value problems ‒ a persistent standard ritual in school. (Die zweite Ableitung bei Extremwertaufgaben ‒ ein hartnäckiges, schulübliches Ritual.) (German)
Mathematikunterricht 61, No. 1, 39-56 (2015).
Classification: I40
18
Can we really rigorously manipulate Leibniz’s notations? (Peut-on manipuler les notations de Leibniz en toute rigueur?) (French)
Repères IREM 95, 23-47 (2014).
Classification: I40
19
Definite integration and the “need to know" principle. (English)
Math. Teach. (Reston) 108, No. 4, 313-318 (2014).
Classification: I50 E40
20
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