Dificultades en la formulación de hipótesis estadísticas por estudiantes de Psicología

  1. Osmar Darío Vera
  2. Carmen Díaz 1
  3. Carmen Batanero 2
  1. 1 Universidad de Huelva
    info

    Universidad de Huelva

    Huelva, España

    ROR https://ror.org/03a1kt624

  2. 2 Universidad de Granada
    info

    Universidad de Granada

    Granada, España

    ROR https://ror.org/04njjy449

Journal:
Unión: revista iberoamericana de educación matemática

ISSN: 1815-0640

Year of publication: 2011

Issue: 27

Pages: 41-61

Type: Article

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More publications in: Unión: revista iberoamericana de educación matemática

Abstract

In this paper, we analyze the responses by 224 Psychology students from the University of Huelva, Spain, to an open-ended question, where they need to set the hypotheses in a statistical test problem. Using the Onto-semiotic Approach to mathematical cognition we analyze the mathematical practices implicit in the responses to discover the semiotic conflicts that produce inadequate responses. As a result we present a classification of different semiotic conflicts related to objects that intervene in setting the statistical hypotheses.

Bibliographic References

  • Ares, V. M. (1999). La prueba de significación de la «hipótesis cero» en las investigaciones por encuesta. Metodología de Encuestas, 1, 47-68.
  • Batanero, C. (2000). Controversies around the role of statistical tests in experimental research. Mathematical Thinking and Learning, 2 (1-2), 75-98.
  • Batanero, C. y Díaz, C. (2006). Methodological and didactical controversies around statistical inference. Actes du 36iémes Journées de la Societé Française de Statistique [CD-ROM]. Paris: Societé Française de Statistique.
  • Birnbaum, I. (1982). Interpreting statistical significance. Teaching Statistics, 4, 24–27.
  • Borges, A., San Luis, C., Sánchez, J. A. y Cañadas, I. (2001). El juicio contra la hipótesis nula: muchos testigos y una sentencia virtuosa. Psicothema, 13 (1), 174-178.
  • Castro Sotos, A. E., Vanhoof, S., Van den Nororgate, W., Onghena, P.(2007). Student ́s misconceptions of statistical inference: A review of the empirical evidence form research on statistical education. Educational Research Review, 2(2), 98-113.
  • Chow, L. S. (1996). Statistical significance: Rational, validity and utility. London: Sage.
  • Díaz, C. (2007). Viabilidad de la enseñanza de la inferencia bayesiana en el análisis de datos en psicología. Universidad de Granada.
  • Eco, U. (1979). Tratado de semiótica general. Barcelona: Lumen Godino, J. D. (2002). Un enfoque ontológico y semiótico de la cognición matemática.Recherches en Didactique des Mathématiques, 22(2/3), 237-284.
  • Godino, J. D. y Batanero, C. (1998). Funciones semióticas en la enseñanza y aprendizaje de las matemáticas. En I. Vale y J. Portela (Eds.), Actas del IX Seminário de Investigaçao em Educaçao Matemática (SIEM) (pp. 25-45). Guimaraes: Associaçao de Professores de Matemática.
  • Godino, J. D. Batanero, C. y Font, V. (2007). The onto-semiotic approach to research in mathematics education. ZDM. The International Journal on Mathematics Education, 39 (1-2), 127-135.
  • Godino, J. D., Batanero, C. y Roa, R. (2005). An onto-semiotic analysis of combinatorial problems and the solving processes by university students. Educational Studies in Mathematics, 60 (1), 3-36.
  • Godino, J. D., Font, V., Wilhelmi, M. R. y Arrieche, M. (2009). ¿Alguien sabe qué es un número?. UNIÓN, Revista Iberoamericana de Educación Matemática, 19, 34-46.
  • Hagod, M. J. (1970). The notion of hypothetical universe. En D. E. Morrison y R. E. Henkel, (Eds.), The significance tests controversy: A reader (pp. 65 – 79). Chicago: Aldine.
  • Haller, H. y Krauss, S. (2002). Misinterpretations of significance: A problem students share with their teachers? Methods of Psychological Research, 7(1), 1–20.
  • Harlow, L.L., Mulaik, S.A. y Steiger, J. H. (1997).What if there were no significance tests? Mahwah. NJ: Lawrence Erlbaum.
  • Harradine, A., Batanero, C., y Rossman, A. (2011). Students' and teachers' knowledge of sampling and inference. En C. Batanero, G. Burrill y C. Reading (Eds.). Teaching statistics in school mathematics- Challenges for teaching and teacher education. A Joint ICMI/IASE Study. New York: Springer, en prensa.
  • Krauss, S.y Wassner, C. (2002). How significance tests should be presented to avoid the typical misinterpretations. In B. Phillips (Ed.), Proceedings of the Sixth International Conference on Teaching Statistics. Cape Town: International Statistical Institute and International Association for Statistical Education. Online: www.stat.auckland.ac.nz/~iase/ publications.
  • Lecoutre, B. (1999). Beyond the significance test controversy: Prime time for Bayes? Bulletin of the International Statistical Institute: Proceedings of the Fifty-second Session of the International Statistical Institute (Tome 58, Book 2) (pp. 205 – 208). Helsinki: International Statistical Institute.
  • Lecoutre, B. (2006). Training students and researchers in Bayesian methods for experimental data analysis. Journal of Data Science, 4, 207-232.
  • Lecoutre, B., Lecoutre, M. P., y Pointevineau, J. (2001). Uses, abuses and misuses of significance tests in the scientific community: Won ́t the Bayesian choice be unavoidable? International Statistical Review, 69, 399-418.
  • Moses, L. E. (1992). The reasoning of statistical inference. In D. C. Hoaglin y D. S. Moore (Eds.), Perspectives on contemporary statistics (pp. 107-122). Washington, DC: Mathematical Association of America.
  • Rossman, A. (2008). Reasoning about informal statistical inference: One statistician’s view. Statistics Education Research Journal, 7(2), 5-19. Online: www.stat.auckland.ac.nz/serj/.
  • Schuyten, G. (1991). Statistical thinking in psychology and education. En D. Vere-Jones (Ed.). Proceeding of the Third International Conference on Teaching Statistics (pp. 486-490).Voorburg, The Netherlands: International Statistical Institute.
  • Valera, A., Sánchez, J., Marín, F. y Velandrino, A.P. (1998). Potencia estadística de la Revista de Psicología General y Aplicada (1990-1992). Revista de Psicología General y Aplicada. 51 (2).
  • Vallecillos, A. (1994). Estudio teórico-experimental de errores y concepciones sobre el contraste estadístico de hipótesis en estudiantes universitarios. Tesis Doctoral. Universidad de Granada.
  • Vallecillos, A. y Batanero, C. (1997). Conceptos activados en el contraste de hipótesis estadísticas y su comprensión por estudiantes universitarios. Recherches en Didactique des Mathematiques, 17, 29–48.
  • White, A. L. (1980). Avoiding errors in educational research. En R. J. Shumway (Ed.), Research in mathematics education (pp. 47 – 65). Reston, Va: National Council of Teachers of Mathematics.
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