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An analytical construction from the set of rational numbers to the special set of real algebraic numbers. A typical topic of “Elementary mathematics from a higher standpoint”, helpful in thinking about mathematics education. (Una costruzione analitica dall’insieme dei numeri razionali all’insieme di particolari numeri reali algebrici. Un tema tipico delle “Matematiche elementari da un punto di vista supeirore”, utile a riflessioni sulla Didattica della matematica.) (Una construcción analítica de un subconjunto de los números reales algebraicos a partir del conjunto de los números racionales. Un tempa típico de la “Matemáticas de vista superior", útil para reflexiones sobra la didáctica de la matemática.) (Italian, Spanish. English summary)
Boll. Docenti Mat. 72, 41-48 (2016).
Classification: F50 F40
1
Complex powers. (Komplexe Potenzen.) (German)
Wurzel 50, No. 6, 135-137 (2016).
Classification: F50
2
Complex numbers and plane geometry. (Komplexe Zahlen und ebene Geometrie.) 3rd expanded and revised edition. (German)
De Gruyter Studium. Berlin: De Gruyter (ISBN 978-3-11-040686-3/pbk; 978-3-11-040687-0/ebook). xi, 214~p. (2016).
Classification: F50 G40 Reviewer: Andreas Filler (Berlin)
3
Alan Baker and Hilbert’s seventh problem. (Alan Baker und Hilberts siebentes Problem.) (German)
Wurzel 50, No. 1, 5-9 (2016).
Classification: F60 A30 F50 H30
4
Between Fermat and Pythagoras. (English)
Math. Sch. (Leicester) 44, No. 3, 10-11 (2015).
Classification: F60 H30 E50
5
Seeing a normal number, and dying afterwards. (Een normaal getal zien, en dan sterven.) (Dutch)
Uitwiskeling 30, No. 4, 21-35 (2014).
Classification: F50 F60 A30
6
Visualizing the arithmetic of complex numbers. (English)
Int. J. Technol. Math. Educ. 21, No. 3, 103-114 (2014).
Classification: F50 U70
7
The predictive nature of algebraic arithmetic for young learners. (English)
Liljedahl, Peter (ed.) et al., Proceedings of the 38th conference of the International Group for the Psychology of Mathematics Education “Mathematics education at the edge", PME 38 held jointly with the 36th conference of PME-NA, Vancouver, Canada, July 15‒20, 2014, Vol. 4. [s. l.]: International Group for the Psychology of Mathematics Education (ISBN 978-0-86491-360-9/set; 978-0-86491-364-7/v.4). 433-440 (2014).
Classification: F32 H22
8
An introduction to number theory with cryptography. (English)
Boca Raton, FL: CRC Press (ISBN 978-1-4822-1441-3/hbk). xviii, 554~p. (2014).
Classification: F65 P25 Reviewer: Werner Kleinert (Berlin)
9
Exploratory activity in the mathematics classroom. (English)
Li, Yeping (ed.) et al., Transforming mathematics instruction. Multiple approaches and practices. Cham: Springer (ISBN 978-3-319-04992-2/hbk; 978-3-319-04993-9/ebook). Advances in Mathematics Education, 103-125 (2014).
Classification: D43 D33 F43 H23 C73
10
Using KenKen to build reasoning skills. (English)
Math. Teach. (Reston) 107, No. 5, 341-347 (2013).
Classification: A20
11
Mathematical foundations for computer science. Sets, logic, recursion. (Mathematische Grundlagen für die Informatik. Mengen, Logik, Rekursion.) (German)
Springer-Lehrbuch. Wiesbaden: Springer Vieweg (ISBN 978-3-658-03078-0/pbk; 978-3-658-03079-7/ebook). x, 222~p. (2013).
Classification: E35 E65 P25 Reviewer: Klaus D. Kiermeier (Berlin)
12
In search for the natural number bias in secondary school students when solving algebraic expressions. (English)
Lindmeier, Anke M. (ed.) et al., Proceedings of the 37th conference of the International Group for the Psychology of Mathematics Education “Mathematics learning across the life span", PME 37, Kiel, Germany, July 28‒August 2, 2013. Vol. 4. Kiel: IPN‒Leibniz Institute for Science and Mathematics Education at the University of Kiel (ISBN 978-3-89088-290-1). 329-336 (2013).
Classification: F43 H23 H33
13
History of (un)natural human reason on the example of a man named Jerome. VII: algebraic numbers are simply brutal porn. (Historia (nie)naturalna rozumu ludzkiego na przykładzie niejakiego Hieronima. VII: Libczby algebaiczne są po prostu porno-brutalne.) (Polish)
Matematyka 66, No. 10, 14-16 (2013).
Classification: E20 F50
14
Everything just formulas? Concept of an algebra for student teachers. (Alles nur Formelkram? Konzept einer Algebra für Lehramtsstudierende.) (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). 201-216 (2013).
Classification: H49 D39 F69 P29
15
The concept of function and its spatial projection. (Le concept de fonction et sa projection spatiale.) (French. English summary)
Ann. Didact. Sci. Cogn. 17, 169-194 (2012).
Classification: I20
16
Analyzing students’ difficulties in understanding real numbers. (English. Spanish summary)
REDIMAT, J. Res. Math. Educ. 1, No. 3, 301-336, electronic only (2012).
Classification: D74 F54
17
Pythagorean triples ‒ and more. (English)
Consortium, No. 103, 39-40 (2012).
Classification: F60 H30 G40
18
163. (German)
Wurzel 46, No. 1, 3-8 (2012).
Classification: H40 H70 F60 Reviewer: Peter Dürr (Linkenheim)
19
Taking away and determining the difference - a longitudinal perspective on two models of subtraction and the inverse relation to addition. (English)
Educ. Stud. Math. 79, No. 3, 389-408 (2012).
Classification: F32 D52 D42 C32
20
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