Attitudes towards probability and its teaching in prospective mathematics teachers from Chile and Spain

Referencias

Alvarado, H., Andaur, G., & Estrada, A. (2018). Actitudes hacia la Probabilidad y su enseñanza: un estudio exploratorio con profesores de Matemática en formación y ejercicio de Chile [Attitudes towards Probability and its Teaching: An exploratory study with Chilean mathematics teachers in training and exercise]. Revista Paradigma. 39(2), 36-64. Batanero, C. (2013). La comprensión de la probabilidad en los niños. ¿Qué podemos aprender de la investigación? [Understanding of Probability in children. What can we learn from research?]. In J. A. Fernandes, P. F. Correia, M. H. Martinho, & F. Viseu, (Eds.) Atas do III Encontro de Probabilidades e Estatítica na Escola. Braga: Centro de Investigação em Educação. Universidade Do Minho. Aparicio, A., & Bazán, J. (2006). Actitud y rendimiento en Estadística en profesores peruanos [Attitude and performance in Statistics in Peruvian teachers]. In G. Martínez (Ed.), Acta Latinoamericana de Matemática Educativa (pp. 644–650). México DF: CLAME. Auzmendi, E. (1992). Las actitudes hacia la matemática/estadística en las enseñanzas medias y universitaria. Características y medición [Attitudes towards mathematics/ statistics in middle and terciary education. Features and measurement]. Bilbao: Mensajero. Batanero, C. (2009). Retos para la formación estadística de profesores [Challenges for Statistical teacher training]. II Encontro de Probabilidade e Estatística na Scola (pp. 1–23). Braga: Universidade do Minho. Batanero, C. y Borovcnik, M. (2016). Statistics and Probability in High School. Rotterdam: Sense Publishers. Batanero, C., Burrill, G., & Reading, C. (Eds.). (2011). Teaching Statistics in school mathematics: Challenges for Teaching and teacher education. A Joint ICMI/IASE Study. New York: Springer. Begg, A., & Edwards, R. (1999). Teachers’ Ideas About Teaching Statistics. In Proceedings of the 1999 combined Conference of the Australian Association for Research in Education and the New Zealand Association for Research in Education. Melbourne: AARE/ NZARE. Ben-Zvi, D., & Makar, K. (2016). International Perspectives on the Teaching and Learning of Statistics. In D. Ben-Zvi, & K. Makar, The Teaching and Learning of Statistics (pp. 1-10). Cham: Springer. Ben-Zvi, D., Makar, K., & Garfield, J. (Eds.). (2018). International Handbook of Research in Statistics Education. Cham: Springer. http://doi.org/10.1007/978-94-010-0462-6 Bendig, A., & Hughes, J. (1954). Student attitude and achievement in a course in introductory statistics. Journal of Educational Psychology, 45(5), 268–276. http://doi. org/10.1037/h0057391 Carmona, J. (2004). Una revisión de las evidencias de fiabilidad y validez de los cuestionarios de actitudes y ansiedad hacia la estadística [A review of evidence on reliability and validity of attitude and anxiety questionnaires towards statistics]. Statistics Education Research Journal, 3(1), 5–28. DelMas, R., Garfield, J., Ooms, A., & Chance, B. (2007). Assessing Students’ Conceptual Understanding after a First Course in Statistics. Statistics Education Research Journal, 6(2), 28–58. Estrada, A. (2002). Análisis de las actitudes y conocimientos estadísticos elementales en la formación del profesorado [Analysis of attitudes and elementary statistical knowledge in teacher training] (Doctoral Thesis). Universitat Autònoma de Barcelona. Estrada, A., & Batanero, C. (2015). Construcción de una escala de actitudes hacia la probabilidad y su enseñanza para profesores [Building an Attitudes towards Probability and its Teaching Scale for Teachers]. In C. Fernández, M. Molina, & N. Planas (Eds.), Investigación en Educación Matemática XIX (pp. 239–247). Alicante: SEIEM. Estrada, A., Batanero, C., & Díaz, C. (2018). Exploring Teachers’ Attitudes Towards Probability and Its Teaching. En C. Batanero y E. Chernoff (Eds.), Teaching and Learning Stochastics, ICME-13 Monographs (pp. 313–332). Cham: Springer. http://doi.org /10.1007/978-3-319-72871-1_18 Estrada, A., Batanero, C., & Fortuny, J. M. (2004). Un estudio comparado de las actitudes hacia la estadística en profesores en formación y en ejercicio [A comparative study of attitudes towards statistics in teachers and prospective teachers]. Enseñanza de las ciencias, 22(2), 263–274. Estrada, A., Batanero, C., & Lancaster, S. (2011). Teachers’ attitudes towards statistics. 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 (pp. 163–174). New York: Springer. http://doi.org/10.1007/978-94-007-1131-0 Everitt, B. S. (1999). Chance rules: An informal guide to probability, risk, and statistics. New York: Copemicus Springer-Verlag. Garfield, J., & Ahlgren, A. (1988). Difficulties in Learning Basic Concepts in Probability and Statistics: Implications for Research. Journal for Research in Mathematics Education, 19(1), 44–63. Garfield, J. (2003). Assessing Statistical Reasoning. Statistics Education Research Journal, 2(1), 22–38. Godino, J. D., Batanero, C., & Cañizares, M. J. (1997). Azar y Probabilidad. Fundamentos didácticos y propuestas curriculares [Chance and probability: Educational foundations and curricular proposals]. Madrid: Síntesis. Groth, R., & Meletiou-Mavrotheris, M. (2018). Research on Statistics Teachers’ Cognitive and Affective Characteristics. En D. Ben-Zvi, K. Makar y J. Garfield (Eds.), International Handbook of Research in Statistics Education (pp. 327–355). Cham: Springer. http://doi. org/10.1007/978-3-319-66195-7_10 Hannigan, A., Gill, O., & Leavy, A. (2013). An investigation of prospective secondary mathematics teachers’ conceptual knowledge of and attitudes towards statistics. Journal of Mathematics Teacher Education, 16(6), 427–449. http://doi.org/10.1007/s10857-013- 9246-3 Hernández, R., Fernández, C., & Baptista, P. (2014). Metodología de la investigación [Investigation Methodology]. México DF: McGraw-Hill. J. Pedhazur, E., & Pedhazur, L. (1991). Measurement, Design, and Analysis. Hillsdale, New Jersey: Lawrence Erlbaum Associates Inc. Lloret-Segura, S., Ferreres-Traver, A., Hernández-Baeza, A., & Tomás-Marco, I. (2014). El análisis factorial exploratorio de los ítems: una guía práctica, revisada y actualizada. Anales de psicología, 30, 1151–1169. Martins, J. A., Estrada, A., Nascimento, M. M., & Comas, C. (2015). Actitudes hacia la Estadística de los Profesores: Un camino a recorrer [Teachers’ Attitudes towards Statistics: A way to go]. In J. M. Contreras, C. Batanero, J. D. Godino, G. Cañadas, P. Arteaga, E. Molina-Portillo, … M. López-Marín (Eds.), Didáctica de la Estadística, Probabilidad y Combinatoria 2 (pp. 101–107). Granada: University of Granada. Martins, J. A., Nascimento, M. M., & Estrada, A. (2012). Looking back over their shoulders: A qualitative analysis of Portuguese teachers’ attitudes towards statistics. Statistics Education Research Journal, 11(2), 26–44. McLeod, D. B. (1992). Research on affect in mathematics education: A reconceptualization. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 575–596). Reston, Virginia: NCTM. Ministerio de Educación Chile. (2009). CURRICULUM. Objetivos fundamentales y contenidos mínimos obligatorios de la Educación Básica y Media [Curriculum. Fundamental objectives and mandatory minimum contents of Basic and Middle Education]. Santiago: MINEDUC. Ministerio de Educación Chile. (2015). Bases curriculares 7° a 2° medio [7 to 10 grade curricular bases]. Santiago: MINEDUC. Ministerio de Educación Cultura y Deporte. (2014). Real Decreto 126/2014, de 28 de febrero, por el que se establece el currículo básico de la Educación Primaria [Royal Decree 126/2014, of February 28, which establishes the basic curriculum of Primary Education]. Boletín Oficial del Estado, (52), 19349–19420. Ministerio de Educación Cultura y Deporte. (2015). Real Decreto 1105/2014, de 26 de diciembre, por el que se establece el currículo básico de la Educación Secundaria Obligatoria y del Bachillerato [Royal Decree 1105/2014, of December 26, which establishes the basic curriculum of compulsory Secondary Education and Baccalaureate]. Boletín Oficial del Estado, (3), 1–35. Morales, P. (2013). El Análisis Factorial en la construcción e interpretación de tests, escalas y cuestionarios [Factor Analysis in the construction and interpretation of test, sclaes and questionnaires]. Universidad Pontificia de Comillas, 46. Nasser, F. (2004). Structural Model of the Effects of Cognitive and Affective Factors on the Achievement of Arabic-Speaking Pre-service Teachers in Introductory Statistics. Journal of Statistics Education, 12(1). Nolan, M. M., Beran, T., & Hecker, K. G. (2012). Surveys assessing students’ attitudes toward statistics: A systematic review of validity and reliability. Statistics Education Research Journal, 11(2), 103–123. Onwuegbuzie, A. J. (1998). Teachers Attitudes toward statistics. Psychological Reports, 83, 1008–1010. http://doi.org/10.2466/pr0.1998.83.3.1008 Philipp, R. A. (2007). Mathematics teachers’ Beliefs and Affect. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 257–315). Chalotte, NC: NCTM & Information Age Publishing. Roberts, D. M., & Bilderback, E. W. (1980). Reliability and validity of a Statistics Attitude Survey. Educational and Psychological Measurement, 40, 235–238. http://doi. org/10.1177/001316448004000138 Ruz, F., Molina-Portillo, E., & Contreras, J. M. (in press). Exploring knowledge about probability content in prospective mathematics teachers. Boletín de Estadística e Investigación Operativa (BEIO). Schau, C., Stevens, J., Dauphinee, T., & Del Vecchio, A. (1995). The development and validation of the survey of attitudes toward statistics. Educational and Psychological Measurement, 55(5), 868–875. http://doi.org/10.1177/0013164495055005022 Scheaffer, R. L., Watkins, A. E., & Landwehr, J. M. (1998). What every high-school graduate should know about statistics. In S. P. Lajoie (Ed.), Reflections on statistics: Learning, teaching and assessment in Grades K-I2 (pp. 3-31). Mahwah, NJ: Lawrence Erlbaum. Tishkovskaya, S., & Lancaster, G. A. (2012). Statistical Education in the 21st Century: a Review of Challenges, Teaching Innovations and Strategies for Reform. Journal of Statistics Education, 20(2), 1–24. United Nations. (2015). Transforming our world: The 2030 Agenda for Sustainable Development. UN. https://unctad.org/meetings/en/SessionalDocuments/ares70d1_en.pdf. Accessed April 6, 2018. Vásquez, C., Alvarado, H., & Ruz, F. (2019). Actitudes de futuras maestras de educación infantil hacia la estadística, la probabilidad y su enseñanza [Attitudes of future teachers of childhood e ducation towards statistics, probability and its teaching]. Educación Matemática, 31(3), 177-202. Veloo, A., & Chairhany, S. (2013). Fostering students’ attitudes and achievement in probability using teams-games-tournaments. Procedia-Social and Behavioral Sciences, 93, 59–64. http://doi.org/10.1016/j.sbspro.2013.09.152 Wise, S. L. (1985). The development and validation of a scale measuring attitudes toward statistics. Educational and Psychological Measurement, 45, 401–405. http://doi. org/10.1177/001316448504500226 Zientek, L. R., Carter, T. A., Taylor, J. M., & Capraro, R. M. (2011). Preparing Prospective Teachers: An Examination of Attitudes Toward Statistics. Journal of Mathematical Sciences & Mathematics Education, 5(1), 25–38.