Teaching the foundations of quantum mechanics in secondary school: a proposed conceptual structure

Autores
Fanaro, María de los Ángeles; Otero, María Rita; Arlego, Marcelo José Fabián
Año de publicación
2009
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper is part of a doctoral thesis that investigates Basic Quantum Mechanics (QM) teaching in high school. A Conceptual Structure of Reference (CSR) based on the Path Integral Method of Feynman (1965) was rebuilt and a Proposed Conceptual Structure for Teaching (PCST) (Otero, 2006, 2007) the basics of Quantum Mechanics at secondary school was designed, analysed and carried out. This PCST does not follow the historical route and it is complementary to the canonical formalism. The concepts: probability distribution, quantum system, x(t) alternative, amplitude of probability, sum of probability amplitude, action, Planck's constant, and classicquantum transition were rebuilt with the students. Mathematical formalism was avoided by using simulation software assistance. The Proposed Conceptual Structure for Teaching (PCST) is described and some results from the test carried out by the class group are discussed. This information allows the analysis of the Conceptual Structure Effectively Reconstructed (CSER) to be initiated with the students.
Este trabajo es parte de una tesis doctoral que investiga la enseñanza de los fundamentos de la Mecánica Cuántica en la Escuela media. Se reconstruyó una estructura Conceptual de Referencia (ECR) basada en el método de la Integral de Camino de Feynman (1965) y se diseñó, analizó e implementó una Estructura Conceptual Propuesta para Enseñar (ECPE) (Otero, 2006, 2007) fundamentos de Mecánica Cuántica en la escuela media. Esta ECPE no sigue el camino histórico y es complementaria al formalismo canónico. Los conceptos: distribución de probabilidad, sistema cuántico, trayectoria alternativa x(t), amplitud de probabilidad, suma de amplitud de probabilidad acción, constante de Planck y transición clásica-cuántica se reconstruyeron con los estudiantes. Se describe la Estructura Conceptual Propuesta para Enseñar (ECPE) y se discuten algunos resultados de la evaluación realizada por el grupo de clase. Esta información permite el análisis de la Estructura Conceptual Efectivamente Reconstruida (ECER) con los estudiantes.
Instituto de Física La Plata
Materia
Física
Educación
Quantum Mechanics
High School
Feynman’s Paths Integral Method
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/112914

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network_name_str SEDICI (UNLP)
spelling Teaching the foundations of quantum mechanics in secondary school: a proposed conceptual structureEnseñando los fundamentos de la Mecánica Cuántica en la Escuela Media: una Estructura Conceptual PropuestaFanaro, María de los ÁngelesOtero, María RitaArlego, Marcelo José FabiánFísicaEducaciónQuantum MechanicsHigh SchoolFeynman’s Paths Integral MethodThis paper is part of a doctoral thesis that investigates Basic Quantum Mechanics (QM) teaching in high school. A Conceptual Structure of Reference (CSR) based on the Path Integral Method of Feynman (1965) was rebuilt and a Proposed Conceptual Structure for Teaching (PCST) (Otero, 2006, 2007) the basics of Quantum Mechanics at secondary school was designed, analysed and carried out. This PCST does not follow the historical route and it is complementary to the canonical formalism. The concepts: probability distribution, quantum system, x(t) alternative, amplitude of probability, sum of probability amplitude, action, Planck's constant, and classicquantum transition were rebuilt with the students. Mathematical formalism was avoided by using simulation software assistance. The Proposed Conceptual Structure for Teaching (PCST) is described and some results from the test carried out by the class group are discussed. This information allows the analysis of the Conceptual Structure Effectively Reconstructed (CSER) to be initiated with the students.Este trabajo es parte de una tesis doctoral que investiga la enseñanza de los fundamentos de la Mecánica Cuántica en la Escuela media. Se reconstruyó una estructura Conceptual de Referencia (ECR) basada en el método de la Integral de Camino de Feynman (1965) y se diseñó, analizó e implementó una Estructura Conceptual Propuesta para Enseñar (ECPE) (Otero, 2006, 2007) fundamentos de Mecánica Cuántica en la escuela media. Esta ECPE no sigue el camino histórico y es complementaria al formalismo canónico. Los conceptos: distribución de probabilidad, sistema cuántico, trayectoria alternativa x(t), amplitud de probabilidad, suma de amplitud de probabilidad acción, constante de Planck y transición clásica-cuántica se reconstruyeron con los estudiantes. Se describe la Estructura Conceptual Propuesta para Enseñar (ECPE) y se discuten algunos resultados de la evaluación realizada por el grupo de clase. Esta información permite el análisis de la Estructura Conceptual Efectivamente Reconstruida (ECER) con los estudiantes.Instituto de Física La Plata2009info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf37-64http://sedici.unlp.edu.ar/handle/10915/112914enginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:26:19Zoai:sedici.unlp.edu.ar:10915/112914Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:26:19.863SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Teaching the foundations of quantum mechanics in secondary school: a proposed conceptual structure
Enseñando los fundamentos de la Mecánica Cuántica en la Escuela Media: una Estructura Conceptual Propuesta
title Teaching the foundations of quantum mechanics in secondary school: a proposed conceptual structure
spellingShingle Teaching the foundations of quantum mechanics in secondary school: a proposed conceptual structure
Fanaro, María de los Ángeles
Física
Educación
Quantum Mechanics
High School
Feynman’s Paths Integral Method
title_short Teaching the foundations of quantum mechanics in secondary school: a proposed conceptual structure
title_full Teaching the foundations of quantum mechanics in secondary school: a proposed conceptual structure
title_fullStr Teaching the foundations of quantum mechanics in secondary school: a proposed conceptual structure
title_full_unstemmed Teaching the foundations of quantum mechanics in secondary school: a proposed conceptual structure
title_sort Teaching the foundations of quantum mechanics in secondary school: a proposed conceptual structure
dc.creator.none.fl_str_mv Fanaro, María de los Ángeles
Otero, María Rita
Arlego, Marcelo José Fabián
author Fanaro, María de los Ángeles
author_facet Fanaro, María de los Ángeles
Otero, María Rita
Arlego, Marcelo José Fabián
author_role author
author2 Otero, María Rita
Arlego, Marcelo José Fabián
author2_role author
author
dc.subject.none.fl_str_mv Física
Educación
Quantum Mechanics
High School
Feynman’s Paths Integral Method
topic Física
Educación
Quantum Mechanics
High School
Feynman’s Paths Integral Method
dc.description.none.fl_txt_mv This paper is part of a doctoral thesis that investigates Basic Quantum Mechanics (QM) teaching in high school. A Conceptual Structure of Reference (CSR) based on the Path Integral Method of Feynman (1965) was rebuilt and a Proposed Conceptual Structure for Teaching (PCST) (Otero, 2006, 2007) the basics of Quantum Mechanics at secondary school was designed, analysed and carried out. This PCST does not follow the historical route and it is complementary to the canonical formalism. The concepts: probability distribution, quantum system, x(t) alternative, amplitude of probability, sum of probability amplitude, action, Planck's constant, and classicquantum transition were rebuilt with the students. Mathematical formalism was avoided by using simulation software assistance. The Proposed Conceptual Structure for Teaching (PCST) is described and some results from the test carried out by the class group are discussed. This information allows the analysis of the Conceptual Structure Effectively Reconstructed (CSER) to be initiated with the students.
Este trabajo es parte de una tesis doctoral que investiga la enseñanza de los fundamentos de la Mecánica Cuántica en la Escuela media. Se reconstruyó una estructura Conceptual de Referencia (ECR) basada en el método de la Integral de Camino de Feynman (1965) y se diseñó, analizó e implementó una Estructura Conceptual Propuesta para Enseñar (ECPE) (Otero, 2006, 2007) fundamentos de Mecánica Cuántica en la escuela media. Esta ECPE no sigue el camino histórico y es complementaria al formalismo canónico. Los conceptos: distribución de probabilidad, sistema cuántico, trayectoria alternativa x(t), amplitud de probabilidad, suma de amplitud de probabilidad acción, constante de Planck y transición clásica-cuántica se reconstruyeron con los estudiantes. Se describe la Estructura Conceptual Propuesta para Enseñar (ECPE) y se discuten algunos resultados de la evaluación realizada por el grupo de clase. Esta información permite el análisis de la Estructura Conceptual Efectivamente Reconstruida (ECER) con los estudiantes.
Instituto de Física La Plata
description This paper is part of a doctoral thesis that investigates Basic Quantum Mechanics (QM) teaching in high school. A Conceptual Structure of Reference (CSR) based on the Path Integral Method of Feynman (1965) was rebuilt and a Proposed Conceptual Structure for Teaching (PCST) (Otero, 2006, 2007) the basics of Quantum Mechanics at secondary school was designed, analysed and carried out. This PCST does not follow the historical route and it is complementary to the canonical formalism. The concepts: probability distribution, quantum system, x(t) alternative, amplitude of probability, sum of probability amplitude, action, Planck's constant, and classicquantum transition were rebuilt with the students. Mathematical formalism was avoided by using simulation software assistance. The Proposed Conceptual Structure for Teaching (PCST) is described and some results from the test carried out by the class group are discussed. This information allows the analysis of the Conceptual Structure Effectively Reconstructed (CSER) to be initiated with the students.
publishDate 2009
dc.date.none.fl_str_mv 2009
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/112914
url http://sedici.unlp.edu.ar/handle/10915/112914
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
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rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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