Neel Lobatchewski Báez Ureña1.*, Wendy Heredia Soriano2, Ramón Blanco Sánchez3
1APEC University (UNAPEC), Santo Domingo 10100, Dominican Republic.
2Faculty of Engineering, Autonomous University of Santo Domingo, Santo Domingo 10105, Dominican Republic.
3Department of Mathematics, Faculty of Natural and Exact Sciences, University of Camagüey, Camagüey 74650, Cuba.
*Corresponding author:Neel Lobatchewski Báez Ureña
References
[1] Arenillo S, Cruzado S. College Student’s Difficulties with Basic Mathematics. Int J Multidiscip Res. 2014;8(1).
DOI:10.7718/iamure.v8i1.787.
[2] Picker S, Berry J. Investigating Pupils’ Images of Mathematicians. Educ Stud Math. 2001;43:65-94.
[3] Ramirez G, Gunderson EA, Levine SC, Beilock SL. Math anxiety, working memory and math achievement in early elementary school. J Cogn Dev. 2012. DOI:10.1080/15248372.2012.664593.
[4] Maloney EA, Beilock SL. Math anxiety: Who has it, why it develops, and how to guard against it. Trends Cogn Sci. 2012;16(8):404-406. DOI:10.1016/j.tics.2012.06.008.
[5] Tobias S. Anxiety and cognitive processing of instruction. In: Schwarzer R, editor. Self-related cognitions in anxiety and motivation. Hillsdale, NJ: Lawrence Erlbaum Associates; 1986. p. 35-54.
[6] Carey E, Hill F, Devine A, Szücs D. The chicken or the egg? The direction of the relationship between mathematics anxiety and mathematics performance. Front Psychol. 2016;6:2016. DOI:10.3389/fpsyg.2015.01987.
[7] Langoban M. What Makes Mathematics Difficult as a Subject for most Students in Higher Education? Int J Engl Educ. 2020;9(3). ISSN: 2278-4012.
[8] Brewster J, Miller T. Missed Opportunity in Mathematics Anxiety. Int Electron J Math Educ. 2020;15(3).
DOI:10.29333/iejme/8405.
[9] Blanco R, Báez N. La Epistemología de la Matemática en su Didáctica. Rev MIKARIMIN. 2020;6(3).
[10] Duval R. Registres de représentations sémiotique et fonctionnement cognitif de la pensée. Ann Didact Sci Cogn. 1993;5:37-65.
[11] Radford L. On the relevance of Semiotics in Mathematics Education. Paper presented at: 25th PME International Conference; 2001 Jul 12-17; Utrecht, Netherlands.
[12] Iliada E, Panayotis S. How Students Conceive Function: A Triarchic Conceptual-Semiotic Model of the Understanding of a Com-plex Concept. Montana Math Enthusiast. 2006;3(2):256-272.
[13] Mariotti MA. Proofs, Semiotics and Artefacts of Information Technologies. In: Hanna G, et al., editors. Explanation and Proof in Mathematics: Philosophical and Educational Perspectives. Springer; 2010.
[14] Contreras A, et al. Algunas Aplicaciones de la Teoría de las Funciones Semióticas a la Didáctica del Análisis Infinitesimal. Rech Didact Math. 2005;25(2):151-186.
[15] Blanco R. The amazing systemic structure of Mathematics. Ann Math Phys. 2022;5(2):095-096. DOI:10.17352/amp.000045.
[16] Rittle-Johnson B, Schneider M. Developing conceptual and procedural knowledge of mathematics. In: Kadosh RC, Dowker A, editors. The Oxford handbook of numerical cognition. Oxford University Press; 2015. p. 1118-1134.
DOI:10.1093/oxfordhb/9780199642342.013.014.
[17] Vigotsky L. The development of thinking and concept formation in adolescence. In: Veer R, Valsiner J, editors. The Vygotsky reader. Cambridge, Massachusetts: Blackwell Publishers; 1994.
[18] Kumar A, Kumaresan S. Use of Mathematical Software for Teaching and Learning Mathematics. In: ICME-11 International Comission On Mathematical Instruction — Monterrey (México) proceedings; 2008. p. 373-388.
[19] Xu H. Using Mathematical Software in High School Math Class: A Case Study. Int J Inf Educ Technol. 2016;6(12):966-971. DOI:10.7763/IJIET.
[20] Stockero SL, Leatham KR, Ochieng MA, et al. Teachers’ orientations toward using student mathematical thinking as a resource during whole-class discussion. J Math Teach Educ. 2020;23:237-267. DOI:10.1007/s10857-018-09421-0.
[21] Chevallard Y. La transposición didáctica: Del saber sabio al saber enseñado. AIQUE, Argentina; 1991.
[22] Báez N, Lalondriz M, Blanco R. From Process to Concept, Exemplified in the Functional Limit. Educ Rev USA. 2023;7(2):121-130. DOI:10.26855/er.2023.02.002.