From mistakes, we learn: teachers` positional framing toward errors in mathematical classrooms
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Beyers J. Student dispositions with respect to mathematics: What current literature says. Motivation and disposition: Pathways to learning mathematics, 2011, P. 69–79.
Booth J.L., Lange K.E., Koedinger K.R., and Newton K.J. Using example problems to improve student learning in algebra: Differentiating between correct and incorrect examples. Learning and Instruction, 2013, 25, P. 24–34.
Borasi R. Exploring mathematics through the analysis of errors. For the Learning of Mathematics, 1987, 7(3), P. 2–8.
Borasi R. Capitalizing on errors as “springboards for inquiry”: A teaching experiment. Journal for Research in Mathematics Education, 1994, P. 166–208.
Brousseau G. Theory of didactical situations in mathematics: Didactique des mathématiques, 1970–1990, 2006, Vol. 19. Springer Science & Business Media.
Creswell J.W., Plano Clark V.L., Gutmann M.L., and Hanson W.E. Advanced mixed methods research designs. Handbook of mixed methods in social and behavioral research, 2003, 209, P. 240.
Del Puerto S.M., Minnaard C., and Seminara S.A. Análisis de los errores: una valiosa fuente de información acerca del aprendizaje de las Matemáticas. Revista Iberoamericana de Educación, 2006, 4, P. 38.
Gojak L.M. The power of a good mistake. NCTM Summing Up, 2013, http://www. nctm. org/about/content. aspx.
Greeno J.G. A theory bite on contextualizing, framing, and positioning: A companion to Son and Goldstone. Cognition and Instruction, 2009, 27(3), P. 269–275.
Hammer D., Elby A., Scherr R.E., and Redish E.F. Resources, framing, and transfer. Transfer of learning from a modern multidisciplinary perspective, 2005, 89.
Harré R. The discursive turn in social psychology. The handbook of discourse analysis, 2001, P. 688–706.
Harré R. and Slocum N. Disputes as complex social events on the uses of positioning theory. Common Knowledge, 2003, 9(1), P. 100–118.
Morse J.M. Approaches to qualitative-quantitative methodological triangulation. Nursing Research, 1991, 40(2), P. 120–123.
Santagata R. and Bray W. Professional development processes that promote teacher change: the case of a video-based program focused on leveraging students’ mathematical errors. Professional Development in Education, 2016, 42(4), P. 547–568.
Schleppenbach M., Flevares L.M., Sims L.M., and Perry M. Teachers’ responses to student mistakes in Chinese and US mathematics classrooms. The Elementary School Journal, 2007, 108(2), P. 131–147.
Steuer G., Rosentritt-Brunn G., and Dresel M. Dealing with errors in mathematics classrooms: Structure and relevance of perceived error climate. Contemporary Educational Psychology, 2013, 38(3), P. 196–210.
Stooksberry L.M., Schussler D.L., and Bercaw L.A. Conceptualizing dispositions: Intellectual, cultural, and moral domains of teaching. Teachers and Teaching: theory and practice, 2009, 15(6), 719–736.
Tulis M. Error management behavior in classrooms: Teachers' responses to student mistakes. Teaching and Teacher Education, 2013, 33, P. 56–68.
Zimmerman B.J., Moylan A., Hudesman J., White N., and Flugman B. Enhancing self-reflection and mathematics achievement of at-risk urban technical college students. Psychological Test and Assessment Modeling, 2011, 53(1), P. 141–160.
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