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Subject matter analysis with a perspective on teacher education ‒ the case of Galois theory as a theory of symmetry. (English. German summary)
J. Math.-Didakt. 37, Suppl. 1, S163-S191 (2016).
Classification: H49 D39
1
Common errors and misconceptions in mathematical proving by education undergraduates. (English)
Issues Undergrad. Math. Prep. Sch. Teach., J. 1, Content Knowledge, 8 p., electronic only (2014).
Classification: D79 E59 F69 H49
2
Introducing algebraic structures through solving equations: vertical content knowledge for K-12 mathematics teachers. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 24, No. 3, 191-214 (2014).
Classification: H49 H39 C29
3
Examining prospective mathematics teachers’ proof processes for algebraic concepts. (English)
Int. J. Math. Educ. Sci. Technol. 45, No. 4, 475-497 (2014).
Classification: H49 E59
4
Introduction to the group structure by means of a geometric and artistic approach. An experience with preservice teachers. (Introducción a la estructura de grupo mediante un enfoque geométrico y artístico. Una experiencia con estudiantes para maestro.) (Spanish. English summary)
Rico, Luis (ed.) et al., Investigación en didáctica de la matemática. Homenaje a Encarnación Castro. Granada: Universidad de Granada (ISBN 978-84-9045-095-6/pbk). 159-166 (2013).
Classification: H49 U69 M69
5
Putting the modern in algebra. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 23, No. 1, 1-12 (2013).
Classification: H39 F39 F49 F59 H49
6
Ordered number structures. (Uporządkowane struktury liczbowe.) (Polish. English summary)
Ann. Univ. Paedagog. Crac. 141, Stud. Didact. Math. Pertin. 5, 5-37 (2013).
Classification: H49 H59 F39 F49 F59
7
From natural numbers to quaternions. Basic knowledge of number domains and algebra. (Von den natürlichen Zahlen zu den Quaternionen. Basiswissen Zahlbereiche und Algebra.) (German)
Wiesbaden: Springer Spektrum (ISBN 978-3-658-02054-5/pbk; 978-3-658-02055-2/ebook). viii, 229~p. (2013).
Classification: F15 F19 H45 H49 Reviewer: Carla Cederbaum (Tübingen)
8
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
9
Prospective mathematics teachers’ sense making of polynomial multiplication and factorization modeled with algebra tiles. (English)
J. Math. Teach. Educ. 16, No. 5, 349-378 (2013).
Classification: H49 H39
10
Algebra ‒ an easy introduction. (Algebra ‒ ein lockerer Einstieg.) (German)
Berichte aus der Mathematik. Aachen: Shaker Verlag (ISBN 978-3-8440-2218-6/pbk). 244~p. (2013).
Classification: H45 H44 H49
11
Elements of arithmetic and algebra. (Elemente der Arithmetik und Algebra.) 5th ed. (German)
Heidelberg: Spektrum Akademischer Verlag (ISBN 978-3-8274-1821-0/pbk). viii, 323~p. (2008).
Classification: F69 H49 H59 E69 Reviewer: Franz Lemmermeyer (Jagstzell)
12
Means. (Középértékek.) (Hungarian)
Polygon 17, No. 1-2, 91-97 (2008).
Classification: H49 Reviewer: Tünde Kántor (Debrecen)
13
Exploring the worlds of numbers in the first grades. Part 2 (2). (Esplorare i mondi numerici del primo ciclo scolastico. Parte seconda (2). A ciascuno il suo: L’identikit personale.) (Italian. English summary)
Insegn. Mat. Sci. Integr. 29A, No. 1, 17-30 (2006).
Classification: H49
14
Challenging preservice teachers’ mathematical understanding: the case of division by zero. (English)
Sch. Sci. Math. 106, No. 2, 84 (2006).
Classification: B52 F49 H49 C49
15
The battle of the zero divisors. (English)
AMATYC Rev. 27, No. 1, 26-33 (2005).
Classification: F49 H49
16
Exploring the number worlds of primary school mathematics. Part 1 - 2$^o$. What is a number world, and why? The unifying elements. (Esplorare i mundi numerici del primo ciclo scolastico. Parte prima - 2$^o$. Chi ha il diritto di essere chiamato mondo numerico? Perche’? Gli elementi unificanti.) (Italian)
Insegn. Mat. Sci. Integr. 28A, No. 2, 107-124 (2005).
Classification: H49
17
Exploring the number worlds in primary schools. Part 1: What is a number world, and why? The unifying elements. (Esplorare i mondi numerici del primo ciclo scolastico. Parte prima: Chi ha il diritto di essere chiamato mondo numerico? Perche’? Gli elementi unificanti.) (Italian)
Insegn. Mat. Sci. Integr. 28A, No. 1, 9-32 (2005).
Classification: F19 H49
18
Abstract algebra: A problems-centred and historically focused approach. (English)
International conference on the teaching of mathematics. Wiley, New York, NY. 185-187 (1998).
Classification: H49
19
Fundamentals of mathematics for study and teaching profession. Pt. 2. Algebraic structures and extensions of the number domain. (Grundlagen der Mathematik für Studium und Lehramt. T. 2. Algebraische Strukturen und Zahlenbereichserweiterungen.) (German)
Aula Verl., Wiesbaden (ISBN 3-89104-612-X). 228 p. (1997).
Classification: H49
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