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Discrete algebraic methods. Arithmetic, cryptography, automata and groups. (English)
De Gruyter Textbook. Berlin: De Gruyter (ISBN 978-3-11-041332-8/pbk; 978-3-11-041333-5/ebook). xii, 342~p. (2016).
Classification: P15 H45 F65 Reviewer: Panayiotis Vlamos (Athena)
1
Mental constructions for the group isomorphism theorem. (English)
Math. Educ. (Ank.) 11, No. 2, 377-393 (2016).
Classification: H45 C35
2
The lattice of subextensions of the splitting field of the polynomial $t^p-a$. (El retículo de subextensiones del cuerpo de descomposición del polinomio $t^p-a$.) (Spanish. English summary)
Bol., Soc. “Puig Adam” Profr. Mat., No. 102, 21-41 (2016).
Classification: H40 H30
3
Polyhedral painting with group averaging. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 4, 312-324 (2016).
Classification: M85 H45
4
Exploring concepts from abstract algebra using variations of generalized woven figure eights. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 4, 297-311 (2016).
Classification: M85 H45
5
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
6
How to develop structuralist praxeologies in abstract algebra? (Comment développer des praxéologies structuralistes en algèbre abstraite?) (French. English summary, Spanish summary)
Rech. Didact. Math. 36, No. 1, 97-142 (2016).
Classification: H45 D20
7
Introducing abelian groups using bullseyes and Jenga. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 3, 197-205 (2016).
Classification: H45
8
The parity theorem shuffle. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 1, 19-28 (2016).
Classification: H45
9
A note on powers in finite fields. (English)
Int. J. Math. Educ. Sci. Technol. 47, No. 6, 987-991 (2016).
Classification: H40 F60
10
Split-quaternions and pseudo-Pythagorean quintuples. (English)
Math. Comput. Educ. 50, No. 2, 94-105 (2016).
Classification: F50 F60 H40 H60
11
Elementary mathematics from a higher standpoint. Volume I: Arithmetic, algebra, analysis. Translated from the 4th German edition by Gert Schubring. (English)
Berlin: Springer (ISBN 978-3-662-49440-0/pbk; 978-3-662-49442-4/ebook; 978-3-662-49515-5/set). xx, 312~p. (2016).
Classification: F10 H40 I10
12
Responsibility for proving and defining in abstract algebra class. (English)
Int. J. Math. Educ. Sci. Technol. 47, No. 5, 733-749 (2016).
Classification: E50 E40 H40
13
A curious case of superscript ($-1$): prospective secondary mathematics teachers explain. (English)
J. Math. Behav. 43, 98-110 (2016).
Classification: E40 F50 H40 I20
14
Re“modeling” college algebra: an active learning approach. (English)
PRIMUS, Probl. Resour. Issues Math. Undergrad. Stud. 26, No. 3, 179-187 (2016).
Classification: D45 U85 U55 H45
15
What is the opposite of cat? A gentle introduction to group theory. (English)
Int. J. Math. Educ. Sci. Technol. 47, No. 1, 120-132 (2016).
Classification: H45
16
Abstract algebra. An interactive approach. 2nd edition. (English)
Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4987-1976-6/hbk; 978-1-4987-1978-0/ebook). xxix, 619~p. (2016).
Classification: H45 Reviewer: Gerhard Pfister (Kaiserslautern)
17
Can math education research improve the teaching of abstract algebra? (English)
Notices Am. Math. Soc. 63, No. 3, 276-281 (2016).
Classification: H40
18
Principles of mathematics. A primer. (English)
Hoboken, NJ: John Wiley \& Sons (ISBN 978-1-119-13164-9/hbk; 978-1-119-13169-4/ebook). xiii, 654~p. (2016).
Classification: E35 E45 H65 H45 I25 H35 E65 Reviewer: Stephan Rosebrock (Karlsruhe)
19
Compatible group operations. (English)
Math. Spectr. 48, No. 2, 65-66 (2016).
Classification: H45
20
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