Factor · Matemáticas

Razonamiento Geométrico

El Razonamiento Geométrico implica usar el pensamiento abstracto para definir, analizar y formular argumentos sobre formas y relaciones espaciales. El conocimiento geométrico de los estudiantes proporciona representaciones concretas y modelos para conceptos matemáticos abstractos, que pueden servir como punto de entrada a habilidades de pensamiento matemático de orden superior.

Ideas Principales

Los niños comienzan con un conocimiento geométrico intuitivo (por ejemplo, sobre forma y simetría) que se desarrolla a través de la exposición a eventos en el mundo. En la escuela, este conocimiento informal se amplía y se expande hacia una comprensión más formal de estos conceptos geométricos.

El Razonamiento Geométrico se apoya en las Habilidades Espaciales, que permiten a los estudiantes comprender formas en dos y tres dimensiones y el espacio, y comunicar y argumentar sobre estos conceptos a través de diferentes canales, incluyendo la actividad sensoriomotora y corpórea.

Referencias

Beery, K. E., Buktenica, N. A., & Beery, N. A. (2010). The Beery-Buktenica developmental test of visual-motor integration: Administration, scoring, and teaching manual (6th ed.). Minneapolis, MN: NSC Pearson.

Booker, G. (2009). Algebraic thinking: Generalising number and geometry to express patterns and properties succinctly.Griffith University Brisbane.

Carroll, W. M. (1998). Middle school students’ reasoning about geometric situations.Mathematics Teaching in the Middle School, 3(6), 398-403.

Connolly, A. J. (2007). KeyMath diagnostic assessment (3rd ed.). Minneapolis, MN: Pearson Assessments.

Dehaene, S., Izard, V., Pica, P., & Spelke, E. (2006). Core knowledge of geometry in an Amazonian indigene group.Science, 311(5759), 381-384.

Eberle, R. S. (2014). The role of children’s mathematical aesthetics: The case of tessellations.Journal of Mathematical Behavior, 35, 129–143.

Fujita, T., Kondo, Y., Kumakura, H., & Kunimune, S. (2017). Students’ geometric thinking with cube representations: Assessment framework and empirical evidence.The Journal of Mathematical Behavior, 46, 96-111.

Gal, H., & Linchevski, L. (2010). To see or not to see: Analyzing difficulties in geometry from the perspective of visual perception.Educational Studies in Mathematics, 74(2), 163–183.

Huang, H. M. E., & Witz, K. G. (2011). Developing children’s conceptual understanding of area measurement: A curriculum and teaching experiment.Learning and Instruction, 21(1), 1–13.

Huguet, P., & Regner, I. (2007). Stereotype threat among schoolgirls in quasi-ordinary classroom circumstances. Journal of Educational Psychology, 99(3), 545.

Kaur, H. (2015). Two aspects of young children’s thinking about different types of dynamic triangles: Prototypicality and inclusion.ZDM: The International Journal on Mathematics Education, 47(3), 407–420.

Lehrer, R., Kobiela, M., & Weinberg, P. J. (2013). Cultivating inquiry about space in a middle school mathematics classroom.ZDM – International Journal on Mathematics Education, 45(3), 365–376.

Levav-Waynberg, A., & Leikin, R. (2012). The role of multiple solution tasks in developing knowledge and creativity in geometry.Journal of Mathematical Behavior, 31(1), 73–90.

National Governors Association Center for Best Practices & Council of Chief State School Officers. (2010). Common Core State Standards for Mathematics. Washington, DC.

Pittalis, M., & Christou, C. (2010). Types of reasoning in 3D geometry thinking and their relation with spatial ability.Educational Studies in Mathematics, 75, 191–212.

Sinclair, N., & Bruce, C. D. (2015). New opportunities in geometry education at the primary school.ZDM: The International Journal on Mathematics Education, 47(3), 319–329.

Tatsuoka, K. K., Corter, J. E., & Tatsuoka, C. (2004). Patterns of diagnosed mathematical content and process skills in TIMMS-R across a sample of 20 countries.American Educational Research Journal, 41(4), 901–926.