Validation of the Teaching Mathematical Modeling Selfefficacy Scale (TMMSS)

Referencias

American Educational Research Association, American Psychological Association, & National Council on Measurement in Education. (2014). Standards for educational and psychological testing. Washington, DC: American Educational Research Association. Ashton, P. T., & Webb, R. B. (1986). Making a difference: Teachers’ sense of efficacy and student achievement. Longman. Asempapa, R. (2018). Development and initial psychometric properties of the mathematical modeling attitude scale. School Science and Mathematics, 119(1), 14–23. Australian Curriculum, Assessment and Reporting Authority (2018). Australian Curriculum. Retrieved from https://www.australiancurriculum.edu.au/ Bandura, A. (2006). Guide for constructing self-efficacy scales. In F. Pajares & T. Urdan (Eds.), Adolescence and education: Vol. 5. self-efficacy beliefs of adolescents (pp. 307–337). IAP-Information Age Publishing. Bandura, A. (1997). Self-efficacy: The exercise of control. Freeman. Bandura, A. (1986). Social foundations of thought and action: A social cognitive theory. Prentice-Hall. Bass, R. (2010). Efficacy for teaching elementary science and mathematics compared to other content. School Science and Mathematics, 110(6), 290–297. Beswick, K. (2012). Teachers’ beliefs about school mathematics and mathematicians’ mathematics and their relationship to practice. Educational Studies in Mathematics, 79(1), 127-147. Biembengut, M. & Hein, N. (2010). Mathematical Modeling: Implications for Teaching. In R. Lesh, P. Galbraith, C. Haines, & A. Hurford (Eds.). Modeling Students’ Mathematical Modeling Competencies (pp.481–490). Springer. Blum, W. (2015). Quality teaching of mathematical modeling: What do we know, what can we do? The proceedings of the 12th international congress on mathematics education. Seoul, Korea: ICME. Blum, W., Borromeo Ferri, R. (2009). Mathematical modelling: Can it be taught and learnt? Journal of Mathematical Modelling and Application, 1(1), 45-58. Blum, W., & LeiB, D. (2007). How do students and teachers deal with modelling problems. In C. Haines, P. Galbraith, W. Blum, & S. Khan (Eds.), Mathematical modeling: Education, engineering and economics (pp. 222–231). Horwood Publishing. Boone, W. J., Townsend, J. S., & Staver, J. (2010). Using Rasch theory to guide the practice of survey development and survey data analysis in science education and to inform science reform efforts: An exemplar utilizing STEBI self-efficacy data. Science Education, 95(2), 258–280. Borko, H., & Whitcomb, J. A. (2008). Teachers, teaching, and teacher education: Comments of the National Mathematics Advisory Panel’s Report. Educational Researcher, 37(9), 565– 572. Brown, J.P., & Edwards, I. (2011). Modelling tasks: insight into mathematical understanding. In G. Kaiser, W. Blum, R. Ferri, & G. Stillman (Eds.), Trends in teaching and learning of mathematical modelling. (pp.187–197). Springer. Brown, E. (2005). The influence of teachers’ efficacy and beliefs regarding mathematics instruction in the early childhood classroom. Journal of Early Childhood Teacher Education, 26(3), 239–257. Burkhardt, H. & Pollak, H. (2006). Modelling in mathematics classrooms: reflections on past developments and the future. ZDM, 38(2), 178–195. Cattell, R. (1966). The scree test for the number of factors. Multivariate Behavioral Research, 1(2), 245–276. Common Core State Standards Initiative. (CCSSI) (2010). Common core state standards for mathematics. Washington, DC: National Governors Association Center for Best Practices and the Council of Chief State School Officers. Converse, J. M., & Presser, S. (1986). Survey questions: Handcrafting the standardized questionnaire. Sage. Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297–334. Desimone, L. M., & Le Floch, K. C. (2004). Are we asking the right questions? Using cognitive interviews to improve surveys in education research. Educational Evaluation and Policy Analysis, 26(1), 1–22. Doerr, H. & Lesh, D. (2011). Models and Modelling perspectives on teaching and learning mathematics in the twenty-first century. In G. Kaiser, W. Blum, R. Ferri, & G. Stillman (Eds.). Trends in teaching and learning of mathematical modelling. (pp.247–268). Springer. Doerr, H. (2007). What knowledge do teachers need for teaching mathematics through applications and modelling? In W. Blum, P. Galbraith, H. Henn, & M. Niss (Eds.). Modelling and applications in mathematics education. (pp.357–364). Springer. English, L. (2006). Mathematical modeling in the primary school: Children’s construction of a consumer guide. Educational Studies in Mathematics, 63(3), 303–323. Garcia, F., & Ruiz-Higueras, L. (2011). Modifying teachers’ practices: The case of a European training course on modelling and applications. In R. Ferri, & G. Stillman (Eds.). Trends in teaching and learning of mathematical modelling. (pp. 569–578). Springer. Gibson, S., & Dembo, M. (1984). Teacher efficacy: A construct validation. Journal of Educational Psychology, 76(4), 569–582. Gould, H. (2013). Teachers’ conceptions of mathematical modeling. Dissertation. Teachers College Columbia University. Herche, J., & Engellend, B. (1996). Reversed polarity items and scale dimensionality. Journal of the Academy of Marketing Science, 24(4), 366–374. Holzberger, D., Philipp, A., & Kunter, M. (2013). How teachers’ self-efficacy is related to instructional quality: A longitudinal analysis. Journal of Educational Psychology, 105(3), 774–786. Huinker, D., & Madison, S. (1997). Preparing efficacious elementary teachers in science and mathematics: The influence of method courses. Journal of Science Teacher Education, 8(2), 107–126. Johanson, G. A., & Brooks, G. P. (2010). Initial scale development: Sample size for pilot studies. Educational and Psychological Measurement, 70(3), 394–400. Kaiser, G., & Schwarz, B. (2006). Mathematical modelling as bridge between school and university. ZDM, 38(2), 196–208. Kaiser, H. (1974). An index of factorial simplicity. Psychometrika, 39(1), 31–36. Kaiser, H. (1960). The application of electronic computers to factor analysis. Educational and Psychological Measurement, 20(1), 141–151. Koyuncu, I., Guzeller, C., & Akyuz, D. (2017). The development of a self-efficacy scale for mathematical modeling competencies. International Journal of Assessment Tools in Education, 4(1), 19–36. Lesh, R., & Carmona, G. (2003). Piagetian conceptual systems and models for mathematizing everyday experiences. In R. Lesh & H. Doerr (Eds.), Beyond constructivism: Models and modeling perspectives on mathematics problem solving, teaching, and learning (pp.71-96). Routledge. Lesh, R., & Doerr, H. (2003). Foundations of a models and modeling perspective on mathematics teaching, learning, and problem solving. In R. Lesh, & H. Doerr (Eds.), Beyond constructivism (pp.3–38). Lawrence Erlbaum Associates. MaaB, K. (2010). Modeling in class and the development of beliefs about the usefulness of Mathematics. In R. Lesh, P. Galbraith, C. Haines, & A. Hurford (Eds.), Modeling students’ mathematical modeling competencies (pp.409–420). Springer. Midgley, C., Anderman, E., & Hicks, L. (1995). Differences between elementary and middle school teachers and students: A goal theory approach. The Journal of Early Adolescence, 15(1), 90–113. Muijs, D., & Reynolds, D. (2002). Teachers’ beliefs and behaviors: What really matters. Journal of Classroom Interaction, 37(1), 3–15. National Center for Education Statistics (NCES). (2021). Characteristics of public school teachers. NCES. Netemeyer, R., Bearden, W., & Sharma, S. (2003). Scaling procedures. Sage. Ng, K. (2013). Initial perspectives of teacher professional development on mathematical modelling in Singapore: A framework for facilitation. In G. Stillman, G. Kaiser, W. Blum, & J. Brown (Eds.), Teaching mathematical modelling: Connecting to research and practice (pp.427–436). Springer. Nie, Y., Tan, G., Liau, A., Lau, S., & Chua, B. (2013). The roles of teacher efficacy in instructional innovation: Its predictive relations to constructivist and didactic instruction. Education Research for Policy and Practice, 12(1), 67–77. Pajares, F. (1997). Current directions in self-efficacy research. In M. Maehr & P. R. Pintrich (Eds.), Advances in motivation and achievement (pp. 1–49). JAI Press. Riggs, I., & Enochs, L. (1990). Toward the development of an elementary teacher’s science teaching efficacy belief instrument. Science Education, 74(6), 625–637. Sole, M. (2013). A primer for mathematical modeling. Journal of Mathematics Education at Teachers College, 4(2), 44–49. Souza, E., de Almeida, L., Klüber, T. (2018). Research on mathematical modelling in mathematics education in Brazil: Overview and consideratioons. In A. Ribeiro, L. Healy, R. Borba, & S. Fernandes (Eds.). Mathematics education in Brazil. (pp. 211-228). Springer. Stein, M. K., & Wang, M. C. (1988). Teacher development and school improvement: The process of teacher change. Teaching and Teacher Education, 4(2), 171–187. Stevens, J. P. (2002). Applied multivariate statistics for the social sciences (4th ed.). Lawrence Erlbaum. Stohlmann, M. (2019). Three modes of stem integration for middle school mathematics teachers. School Science and Mathematics, 119(5), 287-296. Stohlmann, M., Maiorca, C., & Allen, C. (2017). A case study of teachers’ development of well-structured mathematical modeling activities. Mathematics Teacher Education and Development, 19(2), 4-24. Stohlmann, M. & Albarracín, L. (2016). What is known about elementary grades mathematical modelling. Education Research International, 2016, 1-9. Stohlmann, M., DeVaul, L., Allen, C., Adkins, A., Ito, T., Lockett, D., & Wong, N. (2016). What is known about secondary grades mathematical modeling-a review. Journal of Mathematics Research, 8(5), 12-28. Stohlmann, M. (2013). Model-Eliciting Activities: Fostering 21st century learners. Journal of Mathematics Education at Teachers College, 4(2), 60-65. Swars, S., Daane, C., & Giesen, J. (2010). Mathematics anxiety and mathematics teacher efficacy: What is the relationship in elementary preservice teachers? School Science and Mathematics, 106(7), 306–315. Swars, S. (2005). Examining perceptions of mathematics teaching effectiveness among elementary preservice teachers with differing levels of mathematics teacher efficacy. Journal of Instructional Psychology, 32(2), 139–147. Teo, T. (2009). Examining the relationship between student teachers’ self-efficacy beliefs and their intended uses of technology for teaching: A structural equation modeling approach. Turkish Online Journal of Educational Technology, 8(4), 7–16. Tschannen-Moran, M., & McMaster, P. (2009). Sources of self-efficacy: Four professional development formats and their relationship to self-efficacy and implementation of a new teaching strategy. Elementary School Journal, 110(2), 228–245. Tschannen-Moran, M., & Woolfolk Hoy, A. (2007). The differential antecedents of self-efficacy beliefs of novice and experienced teaches. Teaching and Teacher Education, 23(6), 944–956. Tschannen-Moran, M., & Woolfolk Hoy, A. (2001). Teacher efficacy: Capturing an elusive construct. Teaching and Teacher Education, 17(7), 783–805. Tschannen-Moran, M., Woolfolk Hoy, A., & Hoy, W. K. (1998). Teacher efficacy: Its meaning and measure. Review of Educational Research, 68(2), 202–248. Wang, C., & Pape, S. (2007). A probe into three Chinese boys’ self-efficacy beliefs learning English as a second language. Journal of Research in Childhood Education, 21(4), 364-377. Wenner, G. (2001). Science and mathematics efficacy beliefs held by practicing and prospective teachers: A 5-year perspective. Journal of Science Education and Technology, 10(2), 181–187. Winter, J., Dodou, D., & Wieringa, P. (2009). Exploratory factor analysis with small sample sizes. Multivariate Behavioral Research, 44(2), 147–181. Wilhelm, A., & Berebitsky, D. (2019). Validation of the mathematics teachers’ sense of efficacy scale. Investigations in Mathematics Learning, 11(1), 29–43. Yoon, S., Evans, M., & Strobel, J. (2014). Validation of the teaching engineering self-efficacy scale for K-12 teachers: A structural equation modeling approach. Journal of Engineering Education, 103(3), 463–485.