Teselaciones como estrategia didáctica para el aprendizaje de la simetría

Referencias

Ausubel, D. (1978). Psicología Educativa. Un punto de vista cognitivo. México: Trillas. Braun, V., & Clarke, V. (2012). Thematic analysis. In H. Cooper (Ed.), APA Handbook of research methods in psychology: Research Designs (pp: 57-71). Washington (DC): American Psychological Association. Casey, S., & Nagle, C. (2016). Students’ use of slope conceptualizations when reasoning about the line of best fit. Educational Studies in Mathematics, 92(2), 163-177. Dolores, C. (2013). La variación y la derivada. México, D. F.: Díaz de Santos. Dolores, C., Alarcón, G., y Albarrán, D. (2002). Concepciones alternativas sobre las gráficas cartesianas del movimiento: el caso de la velocidad y la trayectoria. RELIME. Revista latinoamericana de investigación en matemática educativa, 5(3), 225-250. Herbert, S., y Pierce, R. (2008). An ‘Emergent Model’ for Rate of Change. International Journal of Computers for Mathematical Learning, 13(3), 231–49. Hoffman, W. (2015). Concept image of slope: Understanding middle school mathematics teachers' perspective through task-based interviews (Doctoral dissertation) The University Of North Carolina At Charlotte. Goldin, G. (1997). Chapter 4: Observing Mathematical Problem Solving through Task-Based Interviews. Journal for Research in Mathematics Education. Monograph, 9, 40–177. Moore-Russo, D., Conner, A., y Rugg, K. (2011). Can slope be negative in 3-space? Studying concept image of slope through collective definition construction. Educational Studies in Mathematics, 76(1), 3–21. Nagle, C., y Moore-Russo, D. (2014). Slope across the Curriculum: Principles and Standards for School Mathematics and Common Core State Standards. Mathematics Educator, 23(2), 40-59. Nagle, C., Moore-Russo, D., Viglietti, J., y Martin, K. (2013). Calculus students’ and instructors’ conceptualizations of slope: a comparison across academic levels. International Journal of Science and Mathematics Education, 11(6), 1491-1515. Nájera, J. (2015). Conexiones que establecen los estudiantes de bachillerato al resolver Problemas de razones de cambio. Tesis de maestría no publicada. Universidad Autónoma de Guerrero, México. Planinic, M., Milin-Sipus, Z., Katic, H., Susac, A., y Ivanjek, L. (2012). Comparison of student understanding of line graph slope in physics and mathematics. International journal of science and mathematics education, 10(6), 1393-1414. SEP, (2011), Programas de estudio 2011 guía para el maestro. Educación secundaria. Matemáticas. México, D. F.: Secretaría Educación Pública. Consultado en: http://evaluaciondocente.sep.gob.mx/materiales/SEPPROGRAMASDEESTUDIO2011.GUIAP ARAELMAE STRO.SECUNDARIA.MATEMATICAS.pdf Stanton, M., y Moore-Russo, D. (2012). Conceptualizations of slope: A review of state standards. School Science and Mathematics, 112(5), 270-277. Stump, S. (1999). Secondary mathematics teachers’ knowledge of slope. Mathematics Education Research Journal, 11(2), 124–144. Stump, S. (2001). High school precalculus students' understanding of slope as measure. School Science and Mathematics, 101(2), 81-89. Teuscher, D., y Reys, R. (2010). Slope, rate of change, and Steepness: Do students understand the concepts? Mathematics Teacher, 3(7), 519–524 Teuscher, D., y Reys, R. (2012). Rate of Change: AP Calculus Students’ Understandings and Misconceptions after Completing Different Curricular Paths. School Science and Mathematics, 112(6), 359–376. Thompson, A. G. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127-146). Reston, VA: National Council of Teachers of Mathematics. Walter, J. G., y Gerson, H. (2007). Teachers’ personal agency: Making sense of slope through additive structures. Educational Studies in Mathematics, 65(2), 203-233. Wagener, L. (2009). A Worthwhile Task to Teach Slope. Mathematics Teaching in the Middle School, 15(3), 168-174. Wilhelm, J., y Confrey, J. (2003). Projecting Rate of Change in the Context of Motion onto the Context of Money. International Journal of Mathematical Education in Science and Technology, 34(6), 887-904.