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The unit circle approach to the construction of the sine and cosine functions and their inverses: an application of APOS theory. (English)
J. Math. Behav. 43, 111-133 (2016).
Classification: C30 G60
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
Some examples of the research approach in the education of mathematical analysis. (English)
Math. Nat. Sci. 1, 200-213 (2015).
Classification: I25 I65 I75
3
Mathworld. Algorithms for image processing. (MatheWelt. Algorithmen zur Bildbearbeitung.) (German)
Math. Lehren 32, No. 188, 16 p, pull-out section (2015).
Classification: R40 U60 Reviewer: Renate Stürmer (Zweibrücken)
4
Teaching inverses with technology is “sweeeet". (English)
Math. Teach. (Reston) 107, No. 8, 630-631 (2014).
Classification: U70 I20
5
Unit circles and inverse trigonometric functions. (English)
Math. Teach. (Reston) 108, No. 2, 114-119 (2014).
Classification: G60 I20
6
Experiences with CAS. (Erfahrungen mit CAS.) (German)
Mathematikunterricht 60, No. 6, 50-55 (2014).
Classification: U70 I20 E40
7
A brief survey of the history of calculus ‒ the example of the fundamental theorem. (Ein Streifzug durch die Geschichte der Analysis ‒ das Beispiel des Hauptsatzes.) (German)
Mathematikunterricht 60, No. 2, 14-18 (2014).
Classification: A30 I10
8
Using applets for inquiry. (English)
Math. Teach. (Reston) 107, No. 5, 386-388 (2013).
Classification: U70 I20
9
Teaching inverse functions at tertiary level. (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). 2524-2533 (2013).
Classification: I25 U75
10
Introducing differential equations students to the theory of distributions. (English)
Math. Comput. Educ. 47, No. 3, 185-195 (2013).
Classification: I70 I50 I90
11
Filling bottles with water. (English)
Math. Teach. (Reston) 105, No. 7, 542-548 (2012).
Classification: I20 U60
12
Integrating expressions containing inverse functions. (English)
Parabola 48, No. 1, 2-8 (2012).
Classification: I50 Reviewer: Peter Dürr (Linkenheim)
13
What is the complement to a procedural video: an analysis of how videos can be designed to support productive mathematical practices. (English)
J. Comput. Math. Sci. Teach. 31, No. 3, 213-248 (2012).
Classification: U50 C30 B50 I20
14
On solving the equation $f(x) = f^{-1}(x)$. (English)
Math. Teach. (Derby), No. 228, 39-42 (2012).
Classification: I70 I20
15
The common core and inverse functions. (English)
Math. Teach. (Reston) 105, No. 9, 672-678 (2012).
Classification: B74 D34 I24
16
The concept of a function in connection with parametric representations. (Der Funktionsbegriff im Zusammenhang mit Parameterdarstellungen.) (German)
Mathematikunterricht 58, No. 3, 13-16 (2012).
Classification: I23 G73 G63 D33 Reviewer: Peter Dürr (Linkenheim)
17
Teaching with parametric representations $[x(t),y(t)]$ in the lower secondary. (Unterricht mit Parameterdarstellungen $[x(t),y(t)]$ in der Sekundarstufe I.) (German)
Mathematikunterricht 58, No. 3, 5-12 (2012).
Classification: G73 G63 U73
18
Operation and inverse operation. A strategy for solving many equations. (Operation und Umkehroperation. Eine Strategie zum Lösen vieler Gleichungen.) (German)
Math. Lehren, No. 169, 49-53 (2011).
Classification: H33 H34 D83 D84
19
Questions of uniqueness and inversion concerning measuring jugs. (Eindeutigkeits- und Umkehrfragen bei Messbechern.) (German)
PM Prax. Math. Sch. 53, No. 39, 36-41 (2011).
Classification: I24 I44 M94 G34
20
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