9 research outputs found
Mathematics teachers’ ideas about mathematical models: a diverse landscape
This paper describes the ideas that mathematics teachers (grades 5-9) have regarding mathematical models of real-world phenomena, and explores how teachers’ ideas differ depending on their educational background. Participants were 56 United States in-service mathematics teachers. We analyzed teachers’ written responses to three open-ended questions through content analysis. A varied landscape of ideas was identified. Teachers referred to different entities as constituting models, expressed different ideas about whether data points can be part of models, and whether models convey more information than data. Interesting differences according to educational background were identified, especially between teachers with and without mathematics backgrounds
Mathematics teachers’ ideas about mathematical models: A diverse landscape
This paper describes the ideas that mathematics teachers (grades 5-9) have regarding mathematical models of real-world phenomena, and explores how teachers’ ideas differ depending on their educational background. Participants were 56 United States in-service mathematics teachers. We analyzed teachers’ written responses to three open-ended questions through content analysis. A varied landscape of ideas was identified. Teachers referred to different entities as constituting models, expressed different ideas about whether data points can be part of models, and whether models convey more information than data. Interesting differences according to educational background were identified, especially between teachers with and without mathematics backgrounds.Ideas de profesores de matemáticas sobre modelos matemáticos: un panorama diversoEste artĂculo describe las ideas que tienen profesores de matemáticas (grados 5-9) acerca de los modelos matemáticos de fenĂłmenos del mundo real y explora cĂłmo esas ideas difieren dependiendo de la formaciĂłn acadĂ©mica de los profesores. Analizamos las respuestas de 56 profesores en ejercicio estadounidenses a tres preguntas abiertas, mediante un análisis de contenido. Identificamos un panorama variado de ideas sobre las entidades que constituyen el modelo matemático, sobre si los datos pertenecen o no al modelo, y sobre si el modelo es más o menos informativo que los datos. Encontramos diferencias interesantes entre profesores con y sin formaciĂłn matemática.Handle: http://hdl.handle.net/10481/3323
Ideas de profesores de matemáticas sobre modelos matemáticos: un panorama diverso
This paper describes the ideas that mathematics teachers (grades 5-9) have regarding mathematical models of real-world phenomena, and explores how teachers’ ideas differ depending on their educational background. Participants were 56 United States in-service mathematics teachers. We analyzed teachers’ written responses to three open-ended questions through content analysis. A varied landscape of ideas was identified. Teachers referred to different entities as constituting models, expressed different ideas about whether data points can be part of models, and whether models convey more information than data. Interesting differences according to educational background were identified, especially between teachers with and without mathematics backgrounds.Este artĂculo describe las ideas que tienen profesores de matemáticas (grados 5-9) acerca de los modelos matemáticos de fenĂłmenos del mundo real y explora cĂłmo esas ideas difieren dependiendo de la formaciĂłn acadĂ©mica de los profesores. Analizamos las respuestas de 56 profesores en ejercicio estadounidenses a tres preguntas abiertas, mediante un análisis de contenido. Identificamos un panorama variado de ideas sobre las entidades que constituyen el modelo matemático, sobre si los datos pertenecen o no al modelo, y sobre si el modelo es más o menos informativo que los datos. Encontramos diferencias interesantes entre profesores con y sin formaciĂłn matemática.This study was funded by the National Science Foundation (NSF), Grant # DUE-
0962863, “The Poincaré Institute: A Partnership for Mathematics Education.” The
ideas expressed herein are those of the authors and do not necessarily reflect the ideas of the funding agency
Mathematics teachers’ ideas about mathematical models: A diverse landscape
This paper describes the ideas that mathematics teachers (grades 5-9) have regarding mathematical models of real-world phenomena, and explores how teachers’ ideas differ depending on their educational background. Participants were 56 United States in-service mathematics teachers. We analyzed teachers’ written responses to three open-ended questions through content analysis. A varied landscape of ideas was identified. Teachers referred to different entities as constituting models, expressed different ideas about whether data points can be part of models, and whether models convey more information than data. Interesting differences according to educational background were identified, especially between teachers with and without mathematics backgrounds.Ideas de profesores de matemáticas sobre modelos matemáticos: un panorama diversoEste artĂculo describe las ideas que tienen profesores de matemáticas (grados 5-9) acerca de los modelos matemáticos de fenĂłmenos del mundo real y explora cĂłmo esas ideas difieren dependiendo de la formaciĂłn acadĂ©mica de los profesores. Analizamos las respuestas de 56 profesores en ejercicio estadounidenses a tres preguntas abiertas, mediante un análisis de contenido. Identificamos un panorama variado de ideas sobre las entidades que constituyen el modelo matemático, sobre si los datos pertenecen o no al modelo, y sobre si el modelo es más o menos informativo que los datos. Encontramos diferencias interesantes entre profesores con y sin formaciĂłn matemática.Handle: http://hdl.handle.net/10481/3323
PNA
Resumen basado en el de la publicaciónSe describen las ideas que tienen profesores de matemáticas (grados 5-9) acerca de los modelos matemáticos de fenómenos del mundo real y se explora cómo esas ideas difieren dependiendo de la formación académica de los profesores. Se analizan respuestas de 56 profesores estadounidenses en ejercicio a tres preguntas abiertas, mediante un análisis de contenido. Un panorama variado de ideas sobre las entidades que constituyen el modelo matemático, si los datos pertenecen o no al modelo, y si el modelo es más o menos informativo que los datos. Se encuentran diferencias interesantes entre profesores con y sin formación matemática.ES