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Didactic engineering based on the onto-semiotic approach to mathematical knowledge and instruction. (Ingeniería didáctica basada en el enfoque ontológico-semiótico del conocimento y de la instrucción matemáticos.) (Spanish. English summary, French summary)
Rech. Didact. Math. 34, No. 2-3, 167-200 (2014).
Classification: D20 D40 K40
1
The practicum in the secondary teacher education. (Momentos de intervención en la formación inicial del profesorado.) (Spanish. English summary)
Uno 20, No. 65, 9-16 (2014).
Classification: D39 B50
2
Teaching mathematics in teacher training. (Matemáticas y su didáctica en magisterio.) (Spanish. English summary)
Uno 20, No. 66, 28-35 (2014).
Classification: D39 B50
3
Synergy between visual and analytical languages in mathematical thinking. (English)
Ubuz, Behiye (ed.) et al., CERME 8. Proceedings of the eigth congress of the European Society of Research in Mathematics Education, Antalya, Turkey, February 6‒10, 2013. Ankara: Middle East Technical University (ISBN 978-975-429-315-9). 645-654 (2013).
Classification: G10 D30 D40 C50
4
Didactic engineering as design-based research in mathematics education. (English)
Ubuz, Behiye (ed.) et al., CERME 8. Proceedings of the eigth congress of the European Society of Research in Mathematics Education, Antalya, Turkey, February 6‒10, 2013. Ankara: Middle East Technical University (ISBN 978-975-429-315-9). 2810-2819 (2013).
Classification: D20
5
The use of worksheets on preschool education: illusion and utility. (Uso de fichas en educación infantil: ilusión y utilidad.) (Spanish. English summary)
Edma 0-6, Educ. Mat. Infanc. 2, No. 2, 22-38, electronic only (2013).
Classification: D41 F21 F31 U61
6
Proto-algebraic levels of mathematical thinking. (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. 2. Kiel: IPN‒Leibniz Institute for Science and Mathematics Education at the University of Kiel (ISBN 978-3-89088-288-8). 1-8 (2013).
Classification: F32 C32 H32
7
Epistemic configurations associated with the irrational numbers. Meaning and challenges in secondary education. (Configuraciones epistémicas asociadas al número irracional. Sentidos y desafíos en educación secundaria.) (Spanish. English summary)
Educ. Mat. (Mex. City) 24, No. 3, 67-97 (2012).
Classification: F53 U23 C53
8
Research methods in the plenary presentations and research reports at the SEIEM symposia. (Métodos de investigación en las ponencias y comunicaciones presentadas en los simposios de la SEIEM.) (Spanish. English summary; Portuguese summary; French summary)
Av. Investig. Educ. Mat., No. 2, 29-52 (2012).
Classification: D10 C10
9
The nature of elementary algebraic reasoning. (Naturaleza del razonamiento algebraoico elemental.) (Spanish. English summary)
Bolema 26, No. 42B, 483-511 (2012).
Classification: C32 E52 F32 F92
10
Vectors, change of basis and matrix representation: onto-semiotic approach in the analysis of creating meaning. (English)
Int. J. Math. Educ. Sci. Technol. 43, No. 1, 11-32 (2012).
Classification: H65 E45 C35 D25 D45
11
Dimensional analogy and different coordinate systems, an onto-semiotic approach. (English)
Mediterr. J. Res. Math. Educ. 10, No. 1-2, 131-168 (2011).
Classification: I60 C30 E20 D20
12
Models for statistical pedagogical knowledge. (English)
Batanero, Carmen (ed.) et al., Teaching statistics in school mathematics ‒ challenges for teaching and teacher education. A joint ICMI/IASE Study: The 18th ICMI Study. Berlin: Springer (ISBN 978-94-007-1130-3/hbk; 978-94-007-1131-0/ebook). New ICMI Study Series 14, 271-282 (2011).
Classification: B50
13
Why is the learning of elementary arithmetic concepts difficult? semiotic tools for understanding the nature of mathematical objects. (English)
Educ. Stud. Math. 77, No. 2-3, 247-265 (2011).
Classification: C30 D20 F30 F40
14
Using GeoGebra in the instruction of teachers. (Uso de GeoGebra en la titulación de maestro.) (Spanish. English summary)
Epsilon (Puerto Real) 27, No. 74, Special Issue, 7-14 (2010).
Classification: U79 B50 U59 R29 D59
15
Use of GeoGebra in geometric proportionality in secondary education. (Utilización de GeoGebra en proporcionalidad geométrica en $\text{2}^{\text{o}}$ ESO.) (Spanish)
Epsilon (Puerto Real) 27, No. 74, Special Issue, 21-32 (2010).
Classification: G43 F83
16
Do small children continue not knowing addition? (Continuent les petits enfants à ne pas sa savoir faire des additions?) (French. English summary, Spanish summary)
Educ. Mat. Pesqui. 11, No. 2, 303-328 (2009).
Classification: D31 E31 E61 F21 F31 U61 A30
17
Using the onto-semiotic approach to identify and analyze mathematical meaning when transiting between different coordinate systems in a multivariate context. (English)
Educ. Stud. Math. 72, No. 2, 139-160 (2009).
Classification: I65 I55 D25 C35
18
Didactic effectiveness of mathematical definitions: the case of the absolute value. (English)
Int. Electron. J. Math. Educ. 2, No. 2, 72-90 (2007).
Classification: E40 D20 C30
19
Epistemic networks associated with the concpet of the equality of real numbers. (Configuraciones epistémicas asociadas a la noción de igualdad de números reales.) (Spanish. English summary)
Rech. Didact. Math. 27, No. 1, 77-120 (2007).
Classification: C30 F50 D20
20
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