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Influence of teachers’ pedagogical knowledge on their classroom practice when solving arithmetic word problems with their students: An exploratory study

  • Marta Ramos ; Santiago Vicente [1] Árbol académico ; Javier Rosales ; Jose María Chamoso Árbol académico
    1. [1] Universidad de Salamanca

      Universidad de Salamanca

      Salamanca, España

  • Localización: Journal for the Study of Education and Development, Infancia y Aprendizaje, ISSN-e 1578-4126, ISSN 0210-3702, Vol. 47, Nº 2, 2024, págs. 321-345
  • Idioma: inglés
  • DOI: 10.1177/02103702241253415
  • Títulos paralelos:
    • Influencia del conocimiento pedagógico del profesorado en su práctica de aula cuando resuelve problemas aritméticos verbales con su alumnado: Un estudio exploratorio
  • Enlaces
  • Resumen
    • español

      Cuando el profesorado de Primaria resuelve problemas aritméticos verbales con su alumnado suele hacerlo de manera superficial, incluso cuando sus estructuras semántico-matemáticas son desafiantes y contienen ayudas a la resolución. Esto podría deberse al conocimiento pedagógico que el profesorado tiene sobre la enseñanza de la resolución de este tipo de problemas. El objetivo de este trabajo fue explorar si el profesorado con distintos niveles de este conocimiento resolvía de modos diferentes problemas estándar (no desafiantes y sin ayudas) y reescritos (desafiantes y con ayudas al razonamiento). Se partió de una muestra de ocho profesores (cuatro de nivel de conocimiento alto, cuatro de conocimiento bajo), que fueron grabados y analizados resolviendo dos problemas estándar y dos reescritos. Los resultados mostraron que el profesorado con conocimiento alto empleó más ciclos de interacción (principalmente dedicados al razonamiento) para resolver los problemas estándar y, sobre todo, los reescritos. Este estudio es una primera aproximación para comprender el comportamiento del profesorado al resolver problemas y resalta la importancia de desarrollar su conocimiento para la enseñanza de la resolución de problemas.

    • English

      When primary school teachers solve arithmetic word problems with their students, they usually do so in a superficial manner, even when their semantic-mathematical structures are challenging and contain problem-solving aids. This could be due to the pedagogical knowledge that teachers have about teaching how to solve this type of problem. The aim of this study was to explore whether teachers with different levels of this knowledge solved standard problems (nonchallenging and without aids) and rewritten problems (challenging and with aids to reasoning) in different ways. A sample of eight teachers (four with high knowledge, four with low knowledge) were recorded and analysed solving two standard and two rewritten problems. The results showed that the teachers with high knowledge used more interaction cycles (mainly dedicated to reasoning) to solve the standard problems and especially the rewritten ones. This study is an initial approach to understanding teachers’ problem-solving behaviour and highlights the importance of developing their knowledge in how to teach problem-solving.

  • Referencias bibliográficas
    • Ball D. L., Thames M. H., Phelps G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59, 389–407....
    • Baumert J., Kunter M., Blum W., Brunner M., Voss T., Jordan A., Klusmann U., Krauss S., Neubrand M., Tsai Y. M. (2010). Teachers’ mathematical...
    • Carpenter T. P., Fennema E., Peterson P., Carey D. (1988). Teachers’ pedagogical content knowledge of students’ problem solving in elementary...
    • Carpenter T. P., Moser J. M. (1984). The acquisition of addition and subtraction concepts. In Lesh R., Landau M. (Eds.), The acquisition of...
    • Chapman O. (2006). Classroom practices for context of mathematics word problems. Educational Studies in Mathematics, 62, 211–230.
    • Chapman O. (2015). Mathematics teachers’ knowledge for teaching problem solving. LUMAT, 3, 19–36.
    • Charalambous C. Y., Hill H. C., Chin M. J., McGinn D. (2020). Mathematical content knowledge and knowledge for teaching: Exploring their distinguishability...
    • Charalambous C. Y., Hill H. C., Mitchell R. N. (2012). Two negatives do not always make a positive: Exploring how limitations in teacher knowledge...
    • Chico J., Martín-Díaz J. P., Montes M. A., Badillo E. (2023). What didactic intentions do prospective teachers show when transforming problems?...
    • Csíkos C., Szitányi J. (2020). Teachers’ pedagogical content knowledge in teaching word problem solving strategies. ZDM Mathematics Education,...
    • Daroczy G., Wolska M., Meurers W. D., Nuerk H. C. (2015). Word problems: A review of linguistic and numerical factors contributing to their...
    • Depaepe F., De Corte E., Verschaffel L. (2010). Teachers’ approaches toward word problem solving: Elaborating or restricting the problem context....
    • Depaepe F., Verschaffel L., Kelchtermans G. (2013). Pedagogical content knowledge: A systematic review of the way in which the concept has...
    • Gegenfurtner A., Lewalter D., Lehtinen E., Schmidt M., Gruber H. (2020). Teacher expertise and professional vision: Examining knowledge-based...
    • Getenet S., Callingham R. (2021). Teaching interrelated concepts of fraction for understanding and teachers’ pedagogical content knowledge....
    • Greer B. (1992). Multiplication and division as models of situations. In Grouws D. A. (Ed.), Handbook of research on mathematics teaching...
    • Hanna G. (2020). Mathematical proof, argumentation, and reasoning. In Lerman S. (Ed.), Encyclopedia of Mathematics Education (pp. 561–566)....
    • Hatisaru V., Erbas A. K. (2017). Mathematical knowledge for teaching the function concept and student learning outcomes. International Journal...
    • Hegarty M., Mayer R. E., Monk C. A. (1995). Comprehension of arithmetic word problem: A comparison of successful and unsuccessful problem...
    • Herbert S., Williams G. (2023). Eliciting mathematical reasoning during early primary problem solving. Mathematics Education Research Journal,...
    • Hill H. C., Blunk M., Charalambous C., Lewis J., Phelps G., Sleep L., Ball D. L. (2008). Mathematical knowledge for teaching and the mathematical...
    • Hill H. C., Charalambous C. Y. (2012a). Teacher knowledge, curriculum materials, and quality of instruction: Lessons learned and open issues....
    • Hill H. C., Charalambous C. Y. (2012b). Teaching (un)connected mathematics: Two teachers’ enactment of the Pizza problem. Journal of Curriculum...
    • Kelcey B., Hill H. C., Chin M. J. (2019). Teacher mathematical knowledge, instructional quality, and student outcomes: A multilevel quantile...
    • Koopman M., Thurlings M., den Brok P. (2019). Factors influencing students’ proficiency development in the fraction domain: The role of teacher...
    • Lester F. K., Cai J. (2016). Can mathematical problem solving be taught? Preliminary answers from 30 years of research. In Felmer P., Pehkonen...
    • Leung S. K. Y., Wu J., Li H. (2023). Explaining kindergarten teachers’ beliefs and practices regarding early visual arts education: A perspective...
    • López F. (2002). Content analysis as a research method. Revista de Educación, 4, 167–179.
    • Melhuish K., Thanheiser E., Guyot L. (2020). Elementary school teachers’ noticing of essential mathematical reasoning forms: Justification...
    • Muñoz-Catalán M. C., Ramírez-García M., Joglar-Prieto N., Carrillo-Yáñez J. (2022). Early childhood teachers’ specialized knowledge to promote...
    • Orrantia J., Tarín J., Vicente S. (2011). The use of situational information in arithmetic problem solving. Infancia y aprendizaje, 34(1),...
    • Piñeiro J. L., Castro-Rodríguez E., Castro E. (2019). Teacher knowledge components for teaching problem solving in elementary education. PNA,...
    • Piñeiro J. L., Chapman O., Castro-Rodríguez E., Castro E. (2022). Prospective primary teachers’ initial mathematical problem-solving knowledge....
    • Ramos M., Rosales J., Vicente S. (2020). In-service and preservice teachers’ knowledge of arithmetic problem solving. Universitas Psychologica,...
    • Riley M. S., Greeno J. G. (1988). Developmental analysis of understanding language about quantities of solving problems. Cognition and Instruction,...
    • Rosales J., Vicente S., Chamoso J. M., Muñez D., Orrantia J. (2012). Teacher-student interaction in joint word problem solving. The role of...
    • Sánchez M. R., Vicente S. (2015). Models and processes of arithmetic word problem solving proposed by Spanish mathematics textbooks. Culture...
    • Schneider R. M., Plasman K. (2011). Science teacher learning progressions: A review of science teachers’ pedagogical content knowledge development....
    • Shulman L. (1987). Knowledge and teaching: Foundations of new reform. Harvard Educational Review, 57(1), 1–22.
    • Sie C. H., Agyei D. D. (2023). Relationship between preservice teachers’ mathematical knowledge for teaching fractions and their teaching...
    • Siswono T. Y. E., Kohar A. W., Rosyidi A. H., Hartono S. (2017). Primary school teachers’ beliefs and knowledge about mathematical problem-solving...
    • Stylianou D. A., Stroud R., Cassidy M., Knuth A., Stephens A., Gardiner A., Demers L. (2019). Putting early algebra in the hands of elementary...
    • Tárraga R., Tarín J., Lacruz I. (2021). Analysis of word problems in primary education mathematics textbooks in Spain. Mathematics, 9(17),...
    • Verschaffel L., Greer B., De Corte E. (2000). Making sense of word problems. Swerts and Zeitlinger Publishers.
    • Verschaffel L., Schukajlow S., Star J., Van Dooren W. (2020). Word problems in mathematics education: A survey. ZDM Mathematics Education,...
    • Vicente S., Sánchez R., Verschaffel L. (2020). Word problem solving approaches in mathematics textbooks: A comparison between Singapore and...
    • Vicente S., Verschaffel L., Sánchez R., Múñez D. (2022). Arithmetic word problem solving. Analysis of Singaporean and Spanish textbooks. Educational...
    • Wells G. (1999). Dialogic inquiry: Toward a sociocultural practice and theory of education. CUP.
    • Xin Y. P. (2007). Word problem solving tasks in textbooks and their relation to student performance. The Journal of Educational Research,...
    • Zhang Q. (2022). Understanding Chinese mathematics teaching: How secondary Mathematics teachers’ beliefs and knowledge influence their teaching...

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