Some methods of problem solving in historical mathematical textbooks

Autores/as

  • Ján Gunčaga The Faculty of Education of the Comenius University in Bratislava
  • Matthias Brandl University of Passau

DOI:

https://doi.org/10.21344/iartem.v10i1-2.716

Palabras clave:

libro didáctico histórico de matemáticas, historia de la educación, Jakub Kresa, Franz Močnik, método de generación de problemas, resolución de problemas

Resumen

Este artículo hace un recorrido por la historia de las matemáticas presentada en los libros de matemáticas. Describimos algunos componentes de las nociones matemáticas en los libros didácticos escritos por Jakub Kresa (1648-1715), así como algunos enfoques para la resolución de problemas en los libros didácticos escritos por Franz Mo?nik (1814-1892). Estos enfoques históricos se conectan con la educación matemática moderna porque muchos estudios internacionales, como el Programa Internacional de Evaluación de Estudiantes (PISA), apoyan el uso de la resolución de problemas y los problemas de la vida real en la educación matemática. Las tareas con palabras tienen un lugar importante en las matemáticas escolares. Hay tres pasos importantes para resolver estas tareas: matematización, cálculo e interpretación de los resultados de las tareas. También destacamos el pensamiento divergente en la resolución de problemas durante el proceso educativo.

Biografía del autor/a

  • Ján Gunčaga, The Faculty of Education of the Comenius University in Bratislava

    Ján Gunčaga is Associate Professor of Mathematics Education at the Faculty of Education of the Comenius University in Bratislava. His masters program focused on the teaching of mathematics and physics at the secondary level and was completed at the Faculty of Mathematics and Physics, Comenius University in Bratislava (1997). He completed his doctorate in Didactics of Mathematics in the Faculty of Science at Constantine the Philosopher University in Nitra (2004). His habilitation was at the University of Debrecen in the field of Mathematics Education, which belongs to the field Mathematics and Computer Science in 2010. His current research interests orient towards mathematics education at the primary and lower secondary level, the history of education and using ICT (Information and Communication Technologies) in educational processes.

  • Matthias Brandl, University of Passau

    Matthias Brandl is Professor of Mathematics Education at the Faculty of Computer Science and Mathematics of the University Passau. His masters program focused on the teaching of mathematics and physics at secondary level and was completed at the University Bayreuth (2004-2007). He completed his doctorate in Mathematics at Constantine the Philosopher University Bayreuth (2008). His current research IARTEM e-Journal Volume 10 No 1/2 Some Methods of Problem Solving in Historical Mathematical Textbooks. Ján Gunčaga & Matthias Brandl 78-90 IARTEM e-Journal Volume 10 No 1/2 Some Methods of Problem Solving in Historical Mathematical Textbooks. Ján Gunčaga & Matthias Brandl 78-90 90 interests orient towards mathematical giftedness, mathematical creativity, making connections/joint-up thinking in mathematics education, special needs/inclusion/ twice exceptional children and narrative didactics.

Descargas

Publicado

2019-08-04

Número

Vol. 10 Núm. 1-2 (2018)

Sección

Peer-reviewed research articles

Licencia

Derechos de autor 2018 CC-BY-NC-ND

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Cómo citar

Gunčaga, J., & Brandl, M. (2019). Some methods of problem solving in historical mathematical textbooks. IARTEM E-Journal, 10(1-2), 78-90. https://doi.org/10.21344/iartem.v10i1-2.716