Ana Maria Boavida, Catarina Delgado, Fátima Mendes, Joana Brocardo
Abstract
This paper presents preliminary results of a research project that aims to investigate preservice teachers’ capacity to produce and analyse solution strategies to solve mathematical problems. From a methodological point of view, the study is of a qualitative nature and is being developed with future kindergarten and primary teachers who are enrolled in mathematical courses of a bachelor degree in elementary education at a public teacher education institute in central Portugal. The results suggest that although there has been an incipient progress concerning the production, by the future teachers, of more than one strategy to solve the same problems, reaching this goal is not an easy endeavour. It requires a deep and flexible knowledge about the mathematical content in order to be able to analyse problems from several points of view.
Keywords
Problem solving, geometrical tasks, preservice elementary teacher education.
Full Text:
References
Cai, J. (2003). What research tells us about teaching mathematics through problem solving. In F. Lester Jr. (Ed.). Teaching mathematics through problem solving: prekindergarten-grade 6 (241-254). Reston: NCTM.
Kilpatrick, J., Swafford, J., & Findell, B. (Eds). (2001). Adding It Up: Helping Children Learning Mathematics. Washington: National Academy Press.
Kraemer, J-M. (2008). Desenvolvendo o sentido do número: cinco princípios para planificar. In J. Brocardo, L. Serrazina, & I. Rocha (Edits.), O sentido do número: reflexões que entrecruzam teoria e prática (pp. 3-28). Lisboa: Escolar Editora.
Lester, F. K. Jr. (2013) Thoughts about research on mathematical problem-solving instruction, The Mathematics Enthusiast, 10 (1), 244-278.
NCTM (2000). Principles and Standards for School Mathematics. Reston, VA.: NCTM.
NCTM (2014). Principles to action: Ensuring mathematical success for all. Reston, VA.: NCTM.
Patton, M. Q. (2012). Qualitative Research & Evaluation Methods (3rd ed.). Thousands Oak: SAGE Publications.
Stein, M., Engle, R., Smith, M., & Hughes, E. (2008). Orchestrating productive mathematical discussions: Five practices for helping teachers move beyond show and tell. Mathematical Thinking and Learning 10 (4), 313-340.
Swan, M. (2014). Designing tasks and lessons that develop conceptual understanding, strategic competence, and critical awareness. In J. Brocardo, A. M. Boavida, C. Delgado, E. Santos, F. Mendes, J. Duarte, M. Baía & M. Figueiredo. (Eds) Tarefas Matemáticas (pp.7-25). Lisboa: Sociedade Portuguesa de Investigação em Educação Matemática.
Veloso, E. & Viana, J. P. (1994). Desafios 3. Porto: Edições Afrontamento.
Categories: 2018, Articles - JETEN, Mathematics Education
Leave a Reply