Does the use of the calculator reduce anxiety in the study of differential and integral calculus?

Jaime Segarra 1 * , Abel Cabrera-Martínez 2
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1 School of Mathematical Sciences and Information Technology, Yachay Tech University, Urcuqui, ECUADOR
2 Department of Mathematics, Universidad de Córdoba, Córdoba, SPAIN
* Corresponding Author
EUR J SCI MATH ED, Volume 12, Issue 1, pp. 97-111. https://doi.org/10.30935/scimath/13867
Published Online: 05 November 2023, Published: 01 January 2024
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ABSTRACT

The objective of this research is to study if the use of the calculator decreases students’ anxiety in the subject of differential and integral calculus. Specifically, the research is carried out with 30 engineering students. Auzmendi anxiety factor questions are used to measure anxiety. The study is carried out in two moments; in the first the calculator is not used and in the second if they use it. In the second case, the calculator is used in problems involving the application of derivatives and integrals. The results indicate that the students reduce their anxiety when they use the calculator. Thus, in seven of the nine questions, students who use the calculator obtain a higher mean, it helps to reduce anxiety. In general, t-student test indicates that the moment students use the calculator they have less anxiety, and it helps to reduce errors in the mathematical process. Teachers should consider the calculator as a resource that motivates the student and helps reduce anxiety. In addition, the use of the calculator helps to reduce mathematical errors in basic operations and in the application of derivatives and integrals.

CITATION

Segarra, J., & Cabrera-Martínez, A. (2024). Does the use of the calculator reduce anxiety in the study of differential and integral calculus?. European Journal of Science and Mathematics Education, 12(1), 97-111. https://doi.org/10.30935/scimath/13867

REFERENCES

  • Aguilar, A., Bravo, F., Gallegos, H., Cerón, M., & Reyes, R. (2010). Cálculo diferencial e integral [Differential and integral calculus]. Pearson.
  • Alcas, F. (2014). Uso del proyecto Descartes en la enseñanza de la derivada en la asignatura de matemática 2 de la Facultad de Ciencias Económicas y Empresariales de la Universidad de Piura [Use of the Descartes project in teaching the derivative in the mathematics subject 2 of the Faculty of Economics and Business Sciences of the University of Piura] [PhD thesis, Universidad de Piura].
  • Amorim, K., & Felicetti, L. (2015). Programa de tutoría cálculo diferencial e integral I: Exito y permanencia [Differential and integral calculus tutoring program I: Success and permanence]. Espiral: Revista de Docencia e Investigación [Spiral: Teaching and Research Magazine], 5(1), 93-100. https://doi.org/10.15332/erdi.v5i1.1276
  • Auzmendi, E. (1992). Las actitudes hacia la matemática-estadística en las enseñanzas media y universitaria. Características y medición [Attitudes towards mathematics-statistics in secondary and university education. Features and measurement]. Ed Mensajero.
  • Bandura, A. (1986). Social foundations of thought and action: A social cognitive theory. Prentice Hall.
  • Daza, G., & Garza, B. (2018). Actitudes hacia el cálculo diferencial e integral: Caracterización de estudiantes mexicanos del nivel medio superior [Attitudes towards differential and integral calculus: Characterization of Mexican high school students]. Bolema: Boletim de Educação Matemática [Bulletin: Mathematics Education Bulletin], 32, 279-302. https://doi.org/10.1590/1980-4415v32n60a14
  • Daza, G., & Garza, B. (2020). Estudio de las expectativas de estudiantes Mexicanos del nivel medio superior con respecto al cálculo diferencial e integral [Study of the expectations of Mexican high school students regarding differential and integral calculus]. Educação Matemática Pesquisa [Mathematics Education Research], 22(1), 610-631.
  • De Faria, E. (2003). Uso de tecnologías digitales en la educación matemática en Costa Rica [Use of digital technologies in mathematics education in Costa Rica]. Uniciencia [Unscience], 20, 135-145.
  • Dehesa, N., & López, E. (2021). Ansiedad matemática, actitud y autoeficacia: Un studio [Mathematics anxiety, attitude and self-efficacy: A study]. Educational Studies in Mathematics [Educational Studies in Mathematics], 36, 275-290.
  • Delgado, I, Espinoza, J., & Fonseca, J. (2017). Ansiedad matemática en estudiantes universitarios de Costa Rica y su relación con el rendimientos académico y variables sociodemográficas [Math anxiety in university students in Costa Rica and its relationship with academic performance and sociodemographic variables]. Propósitos y Representaciones [Purposes and Representations], 5(1), 275-324. https://doi.org/10.20511/pyr2017.v5n1.148
  • Fennema, E., & Sherman, J. (1976). Fennema-Sherman mathematics attitudes scales: Instruments designed to measure attitudes toward the learning of mathematics by females and males. Journal for Research in Mathematics Education, 7(5), 324-326. https://doi.org/10.2307/748467
  • Flores, W., & Auzmendi, E. (2018). Actitudes hacia las matemáticas en la enseñanza universitaria y su relación con las variables género y etnia [Attitudes towards mathematics in university teaching and its relationship with the variables gender and ethnicity]. Revista de Currículum y Formación del Profesorado [Curriculum Magazine and Faculty Formation], 22(3), 231-251. https://doi.org/10.30827/profesorado.v22i3.8000
  • Galbraith, P., & Haines, C. (1998). Disentangling the nexus: Attitudes to mathematics and technology in a computer learning environment. Educational Studies in Mathematics, 36(3), 275-290. https://doi.org/10.1023/A:1003198120666
  • Gamboa, R. (2007). Uso de la tecnología en la enseñanza de las matemáticas [Use of technology in mathematics teaching]. Cuadernos de Investigación y Formación en Educación Matemática [Research and Training Notebooks in Mathematics Education], 2(1), 11-44.
  • García, J., Martínez, M., & Inglés, C. (2013) ¿Cómo se relaciona la ansiedad escolar con el rendimiento académico? [How is school anxiety related to academic performance?] Revista Iberoamericana de Psicología y Salud [Ibero-American Journal of Psychology and Health], 4(1), 63-76.
  • George, D., & Mallery, P. (2003). SPSS for Windows step by step: A simple guide and reference. Allyn & Bacon.
  • Guzmán, A., Ruiz, J., & Sánchez, G. (2021). Estrategias pedagógicas para el aprendizaje de las operaciones matemáticas básicas sin calculadora [Pedagogical strategies for learning basic mathematical operations without a calculator]. Ciencia y Educación [Science and Education], 5(1), 55-74. https://doi.org/10.22206/cyed.2021.v5i1.pp55-74
  • Hazday, E., Rodríguez, E., & Pérez, O. (2010). El trabajo independiente de la matemática numérica con el uso de calculadoras graficadoras [Independent work on numerical mathematics with the use of graphing calculators] [PhD thesis, Instituto Superior Politécnico José Antonio Echevarria].
  • Hembree, R. (1990). The nature, effects, and relief of mathematics anxiety. Journal for Research in Mathematics Education, 21(1), 33-46. https://doi.org/10.2307/749455
  • Kim, C., Park, S., & Cozart, J. (2014). Affective and motivational factors of learning in online mathematics courses. British Journal of Educational Technology, 45(1), 171-185. https://doi.org/10.1111/j.1467-8535.2012.01382.x
  • Legg, A., & Lawrence, L. (2009). Math performance and its relationship to math anxiety and metacognition. North American Journal of Psychology, 11(3), 471-485.
  • Liu, C., Jack, B., & Chiu, H. (2008). Taiwan elementary teachers’ views of science teaching self-efficacy and outcome expectations. International Journal of Science and Mathematics Education, 6, 19-35. https://doi.org/10.1007/s10763-006-9065-4
  • Mato, M. (2009). Evaluación de las actitudes hacia las matemáticas y el rendimiento académico [Assessment of attitudes toward mathematics and academic performance]. Investigación en Educación Matemática [Research in Mathematics Education], XIII, 285-300.
  • Mena, J. (2014). Estudio de la ansiedad matemática en los cursos matemática general, cálculo diferencial e integral y ecuaciones diferenciales del Instituto Tecnológico de Costa Rica en el I Semestre 2013 [Study of mathematical anxiety in the general mathematics, differential and integral calculus and differential equations courses of the Technological Institute of Costa Rica in the I Semester 2013]. Instituto Tecnológico de Costa Rica.
  • Puerto, S., & Minnaard, C. (2003). El uso de la calculadora gráfica en el aprendizaje de la matemática [The use of the graphing calculator in learning mathematics]. Revista Iberoamericana de Educación [Ibero-American Journal of Education], 33(3), 1-13. https://doi.org/10.35362/rie3333033
  • Quesada, A., & Maxwell, M. (1994). The effects of using graphing calculators to enhance college students’ performance in precalculus. Educational Studies in Mathematics, 27(2), 205-215. https://doi.org/10.1007/BF01278922
  • Richardson, F., & Suinn, R. (1972). The mathematics anxiety rating scale: Psychometric data. Journal of counseling Psychology, 19(6), 551-554. https://doi.org/10.1037/h0033456
  • Rivero, R. (2004). La enseñanza y aprendizaje del cálculo integral en un entorno computacional: Actitudes de los estudiantes hacia el uso de un programa de cálculo simbólico (PCS) [Teaching and learning integral calculus in a computational environment: Students’ attitudes toward the use of a symbolic calculus program (PCS)]. Canary Islands.
  • Rocha, G., Juárez, J., Fuchs, O., & Rebolledo, G. (2020). El rendimiento académico y las actitudes hacia las matemáticas con un sistema tutor adaptativo [Academic performance and attitudes toward mathematics with an adaptive tutor system]. Revista de Investigación en Didáctica de la Matemática [Journal of Research in Mathematics Didactics], 14(4), 271-294. https://doi.org/10.30827/pna.v14i4.15202
  • Sahão, M., Fiscarelli, S., & Barrozo, S. (2010). Tecnologia digital aplicada no ensino e aprendizagem do cálculo diferencial e integral [Digital technology applied to teaching and learning differential and integral calculus]. In Proceedings of the Innovation, Technology and Sustainability Conference (pp. 1-10).
  • Salvatierra, A., Romero, S., & Shardin Flores, L. (2021). Khan Academy: Fortalecimiento del aprendizaje de cálculo I en estudiantes universitarios [Strengthening calculus I learning in university students]. Propósitos y Representaciones [Purposes and Representations], 9(1), 1-15. https://doi.org/10.20511/pyr2021.v9n1.1042
  • Segarra, J. (2022). Motivación de estudiar algebra lineal con la calculadora Casio fx-570/991 [Motivation to study linear algebra with the Casio fx-570/991 calculator]. UNIÓN-Revista Iberoamericana de Educación Matemática [UNION-Ibero-American Journal of Mathematics Education], 18(65), 1-15.
  • Sierra, J., Ortega, V., & Zubeidat, I. (2003). Ansiedad, angustia y estrés: Tres conceptos a diferenciar [Anxiety, anguish and stress: Three concepts to differentiate]. Revista Mal Estar e Subjetividade [Mal Estar and Subjectivity Magazine], 3(1), 10-59.
  • Tezer, M., & Karasel, N. (2010). Attitudes of primary school 2nd and 3rd grade students towards mathematics course. Procedia-Social and Behavioral Sciences, 2(2), 5808-5812. https://doi.org/10.1016/j.sbspro.2010.03.947
  • Ursini, S., & Sánchez, J. (2019). Actitudes hacia las matemáticas. Qué son. Cómo se miden. Cómo se evalúan. Cómo se modifican [Attitudes towards mathematics. What are they. How they are measured. How they are evaluated. How they are modified]. FES Zaragoza.
  • Vallejo, C., & Reyes, Y. (2021). La enseñanza del cálculo, las ciencias y las matemáticas [Teaching calculus, science and mathematics]. In Investigaciones educativas de la enseñanza del cálculo, las ciencias y las matemáticas [Educational research into the teaching of calculus, science and mathematics] (pp. 240-243).
  • Wenzelburger, E. (1993). Conceptos fundamentales del cálculo diferencial e integral una propuesta didáctica [Fundamental concepts of differential and integral calculus, a didactic proposal]. Educación Matemática [Mathematics Education], 5(03), 93-123. https://doi.org/10.24844/EM0503.06
  • Yos, M. (2021). CASIO EDU+ y la creación de clases en línea [CASIO EDU+ and the creation of online classes]. Investigaciones educativas de la enseñanza del cálculo, las ciencias y las matemáticas [Educational research into the teaching of calculus, science and mathematics] (pp. 50-55).