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Overcoming the algebra barrier: being particular about the general, and generally looking beyond the particular, in homage to Mary Boole. (English)
Stewart, Sepideh (ed.), And the rest is just algebra. Cham: Springer (ISBN 978-3-319-45052-0/hbk; 978-3-319-45053-7/ebook). 97-117 (2017).
Classification: C30 H20 H30 E50
1
Mathematical problem solving and proving. An expedition to mathematics. (Mathematisches Problemlösen und Beweisen. Eine Entdeckungsreise in die Mathematik.) 2nd revised and enlarged edition. (German)
Springer Studium Mathematik ‒ Bachelor. Heidelberg: Springer Spektrum (ISBN 978-3-658-14764-8/pbk; 978-3-658-14765-5/ebook). xiii, 321~p. (2017).
Classification: D50 E50
2
Reasoning about variables in 11 to 18 year olds: informal, schooled and formal expression in learning about functions. (English)
Math. Educ. Res. J. 28, No. 3, 379-404 (2016).
Classification: I20 E50
3
Proofs without words with geometric representations: a trigger to self-efficacy and mathematical argumentation. (English)
Far East J. Math. Educ. 16, No. 1, 21-56 (2016).
Classification: G40 E50
4
Zig-zagging in geometrical reasoning in technological collaborative environments: a mathematical working space-framed study concerning cognition and affect. (English)
ZDM, Math. Educ. 48, No. 6, 909-924 (2016).
Classification: G40 U70 E50 C70
5
Patterns and repeating ornaments in language-sensible instruction. Detecting and justifying patterns and structures. (Muster und Bandornamente im sprachsensiblen Unterricht. Erkennen, Beschreiben und Begründen von Mustern und Strukturen.) (German)
Grundschulmagazin 84, No. 1, 12-17 (2016).
Classification: G20 E50 C50
6
Empowering students’ proof learning through communal engagement. (English)
Math. Teach. (Reston) 109, No. 8, 618-624 (2016).
Classification: E50
7
Promoting mathematical argumentation. (English)
Teach. Child. Math. 22, No. 7, 412-419 (2016).
Classification: E50
8
On the analysis of indirect proofs: contradiction and contraposition. (English)
Aust. Sr. Math. J. 30, No. 1, 55-64 (2016).
Classification: E50
9
Plato on the foundations of modern theorem provers. (English)
Math. Enthus. 13, No. 3, 303-314 (2016).
Classification: E50 A30 R40
10
Definitions and their application in writing proofs on divisibility of integers. (English)
Far East J. Math. Educ. 16, No. 1, 111-133 (2016).
Classification: E50 F60 D70
11
The concept of proof in the light of mathematical work. (English)
ZDM, Math. Educ. 48, No. 6, 843-859 (2016).
Classification: E50 D20 C70
12
Bridging the gap between graphical arguments and verbal-symbolic proofs in a real analysis context. (English)
Educ. Stud. Math. 93, No. 2, 155-173 (2016).
Classification: E50
13
Developing argumentation skills in mathematics through computer-supported collaborative learning: the role of transactivity. (English)
Instr. Sci. 44, No. 5, 477-500 (2016).
Classification: E50 C30 U70 U50
14
Proof and rhetoric: the structure and origin of proof ‒ from ancient Greece to Abraham Lincoln’s speech in defence of the union and Paul Keating’s Mabo speech. (English)
Aust. Sr. Math. J. 30, No. 1, 45-54 (2016).
Classification: C50 E50
15
‘Boys press all the buttons and hope it will help’: upper secondary school teachers’ gendered conceptions about students’ mathematical reasoning. (English)
Int. J. Sci. Math. Educ. 14, No. 8, 1535-1552 (2016).
Classification: C29 E50 C60
16
The case of $\frac{π^2}{6}$ ‒ reopened. (Der Fall $\frac{π^2}{6}$ ‒ noch einmal aufgerollt.) (German)
Monoid 36, No. 126, 29-30 (2016).
Classification: I30 A30 E50 F50
17
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
18
Conceptions of proof and proving in mathematics education ‒ an analysis of the development of ideas in the didactics of mathematics. (Didaktisch orientierte Beweiskonzepte ‒ eine Analyse zur mathematikdidaktischen Ideenentwicklung.) (German. English summary)
J. Math.-Didakt. 37, No. 1, 141-179 (2016).
Classification: E50 C50 A30
19
A dilemma that underlies an existence proof in geometry. (English)
Educ. Stud. Math. 93, No. 1, 35-50 (2016).
Classification: E50 G40
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