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A framework for proofs and refutations in school mathematics: increasing content by deductive guessing. (English)
Educ. Stud. Math. 92, No. 2, 147-162 (2016).
Classification: E50
1
Prospective elementary teachers’ claiming in responses to false generalizations. (English)
J. Math. Behav. 39, 79-99 (2015).
Classification: E59
2
Exploration of patterns in a calendar. (English)
Math. Teach. (Reston) 108, No. 5, 336-342 (2014).
Classification: H20 E50 M90
3
Rethinking the discovery function of proof within the context of proofs and refutations. (English)
Int. J. Math. Educ. Sci. Technol. 45, No. 7, 1053-1067 (2014).
Classification: E53 G43
4
The ability of students and teachers to use counter-examples to justify mathematical propositions: a pilot study in south Korea and Hong Kong. (English)
ZDM, Int. J. Math. Educ. 45, No. 1, 91-105 (2013).
Classification: E50 C40 C60
5
Logic. A brief course. (English)
Unitext 60. La Matematica per il 3+2. Berlin: Springer (ISBN 978-88-470-2360-4/pbk; 978-88-470-2361-1/ebook). xi, 124~p. (2012).
Classification: E35 Reviewer: Branislav Boričić (Beograd)
6
High school students’ perceptions of geometrical proofs proving and refuting geometrical claims of the ‘for every\,{\dots}\,’ and ‘there exists’ type. (English)
Int. J. Math. Educ. Sci. Technol. 43, No. 8, 985-998 (2012).
Classification: E50 G40
7
Refutations and the logic of practice. (English. Spanish summary)
PNA 6, No. 1, 1-10 (2011).
Classification: E50 C70 D20
8
Counter-examples for refinement of conjectures and proofs in primary school mathematics. (English)
J. Math. Behav. 29, No. 1, 1-10 (2010).
Classification: E53 E43
9
Using refutation method in mathematics education. (English)
Far East J. Math. Educ. 3, No. 3, 273-277 (2009).
Classification: D40 C30
10
Controlling processes in solving problems of proportionality of quantities. (Processus de contrôle en résolution de problèmes dans le cadre de la proportionnalité des grandeurs: une analyse descriptive.) (French. English summary)
Rech. Didact. Math. 28, No. 1, 63-106 (2008).
Classification: F83 F73 F93 C33
11
The role and function of quasi-empirical methods in mathematics. (English)
Can. J. Sci. Math. Technol. Educ. 4, No. 3, 397-418 (2004).
Classification: E50 D40
12
Conjectures and proofs in mathematics teaching. (Sobre conjeturas y demostraciones en la enseñanza de las matemáticas.) (Spanish)
MATRIX ERROR: INCOMPLETE MONOGRAPH SOURCE!
Classification: E50 C30
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