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El concepto de pendiente: estado de la investigación y prospectivas

  • Ricardo Abreu Blaya [1] ; Crisólogo Dolores Flores [1] ; José L. Sánchez [1] ; José M. Sigarreta [1]
    1. [1] Universidad Autónoma de Guerrero

      Universidad Autónoma de Guerrero

      México

  • Localización: Números: Revista de didáctica de las matemáticas, ISSN-e 1887-1984, ISSN 0212-3096, Nº. 103, 2020, págs. 81-98
  • Idioma: español
  • Títulos paralelos:
    • The concept of slope: state of research and prospects
  • Enlaces
  • Resumen
    • español

      En las últimas dos décadas han proliferado las investigaciones sobre el concepto de pendiente que, si bien en su mayoría atendían al estudio teórico de las conceptualizaciones, a través de ellas abordaban también la estructuración del contenido y los obstáculos asociados al proceso de enseñanza-aprendizaje de dicho concepto. En este trabajo se analizan y sintetizan las principales investigaciones que tratan la pendiente, así como se da noticia de alguno de sus resultados. Finalmente, se plantean posibles prospectivas para las investigaciones sobre el concepto de pendiente.

    • English

      In the last two decades there has been a proliferation of research on the concept of slope which, while mostly concerned with the theoretical study of conceptualizations, through them also addressed the structuring of content and the obstacles associated with the teaching-learning process of this concept. In this paper, the main research studies dealing with the slope are analyzed and synthesized, as well as some of their results are reported.

      Finally, possible prospects for research on the concept of slope are raised.

  • Referencias bibliográficas
    • Azcárate, C. (1992). Estudio de los esquemas conceptuales y de los perfiles de unos alumnos de segundo de BUP en relación con el concepto...
    • Barr, G. (1980). Graphs, gradients and intercepts. Mathematics in School, 9(1), 5-6.
    • Barr, G. (1981). Some student ideas on the concept of gradient. Mathematics in School, 10(1), 14-17.
    • Bell, A., & Janvier, C. (1981). The interpretation of graphs representing situations. For the Learning of Mathematics, 2(1), 34-42.
    • Beyerley, C. y Thompson, P. (2017). Secondary mathematics teachers’ meanings for measure, slope, and rate of change. Journal of Mathemaical...
    • Birgin, O. (2012). Investigación de la comprensión de los estudiantes de octavo grado de la pendiente de la función lineal, Bolema: Boletín...
    • Clement, J. (1985). Misconceptions in graphing. Presented at the Ninth Conference of the International Group for the Psychology of Mathematics...
    • Courtney, N., Martínez-Planell, R. & Moore-Russo, D. (2018). Using APOS theory as a framework for considering slope understanding, Journal...
    • Deniz, Ö. y Kabael, T. (2017). 8th Grade Students’ Processes of the Construction of the Concept of Slope, Education and Science, 42(192),...
    • Dolores, C., Rivera, M. y García, J. (2018). Exploring mathematical connections of pre–university students through task involving rate of...
    • Hauger, G. (1997). Growth of Knowledge of Rate in Four Precalculus Students. Paper presented at the Annual Meeting of the American Educational...
    • Hoffman, W. (2015). Concept image of slope: Understanding middle school mathematics teachers' perspective through task-based interviews....
    • Janvier, C. (1978). The interpretation of complex cartesian graphs representing situations-studies and teaching experiments. (Doctoral Dissertation,...
    • McDermott, L., Rosenquist, M. y van Zee, E. (1983). Student difficulties in connecting graphs, concepts and physical phenomena. Presented...
    • McGee, D., Moore-Russo, D. y Martinez, R. (2015) Making Implicit Multivariable Calculus Representations Explicit. A Clinical Study, PRIMUS,...
    • Moore-Russo, D., Conner, A., & Rugg, K. (2011a). Can slope be negative in 3-space? Studying concept image of slope through collective...
    • Mudaly, V. y Moore-Russo, D. (2011). South African teachers’ conceptualisations of gradient: A study of historically disadvantaged teachers...
    • Nagle, C. y Moore–Russo, D. (2013a). Slope: A Network Of Connected Components. In Martinez, M. & Castro Superfine, A. (eds.). Proceedings...
    • Nagle, C., & Moore-Russo, D. (2013). Connecting slope, steepness, and angles. Mathematics teacher, 107(4), 272-279.
    • Nagle, C. y Moore–Russo, D. (2014). Slope Across the Curriculum: Principles and Standards for School Mathematics and Common Core State Standards....
    • Nagle, C., Casey, S. & Moore-Russo, D. (2017). Slope and Line of Best Fit: A Transfer of Knowledge Case Study, School Science and Mathematics,...
    • Nagle, C., Moore-Russo, D. and Styers, J. (2013b). Teachers’ Interpretations of Student Statements about Slope. In E. Galindo, and J. Newton,...
    • Nagle, C., Moore-Russo, D., Viglietti, J., & Martin, K. (2013a). Calculus student´s and instructors’ conceptualizations of slope: a comparison...
    • Rivera, M. y Dolores, C. (2017). Concepciones de la Pendiente en el Curriculum Oficial de la Educación Básica. En Congreso Nacional de Matemática...
    • Stanton, M. y Moore–Russo, D. (2012). Conceptualizations of Slope: A Review of State Standards. In School Science and Mathematics, 112 (5),...
    • Stump, S. (1999): Secondary Mathematics Teachers' Knowledge of Slope. Mathematics Education Research Journal, 11 (2), 124-144.
    • Stump, S. (2001a). Developing preservice teachers’ pedagogical content knowledge of slope. Journal of Mathematical Behavior, 20, 207–227.
    • Stump, S. (2001b). High school precalculus students’ understanding of slope as measure. School Science and Mathematics, 101, 81– 89.
    • Tesuscher, D. y Reys, R. (2012). Rate of Change: AP Calculus Students’ Understandings and Misconceptions After Completing Different Curricular...
    • Teuscher, D. y Reys, R. (2010). Slope, rate of change, and steepness: Do students understand these concepts? Mathematics Teacher, 103, 519–524.
    • Tyne, J. (2016) "Calculus Students' Reasoning About Slope and Derivative as Rates of Change". Electronic eses and Dissertations....
    • Wagener, LL. (2009). A worthwhile task to teach slope. Mathematics Teaching in the Middle School, 15(3), 168–174.
    • Walter, J. G., y Gerson, H. (2007). Teachers’ personal agency: Making sense of slope through additive structures. Educational Studies in Mathematics,...
    • Zaslavsky, O., Sela, H. y Leron, U. (2002). Being sloppy about slope: The effect of changing the scale. Educational Studies in Mathematics,...

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