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Lines of Inquiry in Mathematical Modelling Research in Education / Stillman, Gloria Ann ; Brown, Jill P.
TÃtulo : Lines of Inquiry in Mathematical Modelling Research in Education Tipo de documento: documento electrónico Autores: Stillman, Gloria Ann, ; Brown, Jill P., Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2019 Número de páginas: X, 259 p. 60 ilustraciones, 27 ilustraciones en color. ISBN/ISSN/DL: 978-3-030-14931-4 Nota general: Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: Matemáticas Aprendizaje PsicologÃa de Docente Educación Matemática PsicologÃa Instruccional Enseñanza y formación docente Clasificación: 510.71 Resumen: Este libro de acceso abierto se basa en presentaciones seleccionadas del Grupo de Estudio del Tema 21: Aplicaciones y modelos matemáticos en la enseñanza y el aprendizaje de las matemáticas en el 13º Congreso Internacional sobre Educación Matemática (ICME 13), celebrado en Hamburgo, Alemania, del 24 al 31 de julio. 2016. Contribuye a la teorÃa, la investigación y la práctica docente sobre este tema clave al tomar en cuenta la importancia de las relaciones entre las matemáticas y el mundo real. Además, el libro aborda el "acto de equilibrio" entre el desarrollo de las habilidades de modelado de los estudiantes, por un lado, y el uso del modelado para ayudarlos a aprender matemáticas, por el otro, que surge de la integración del modelado en las aulas. Las contribuciones, preparadas por autores de 9 paÃses, reflejan el espectro de debates internacionales sobre el tema, y ​​los ejemplos presentados abarcan la escolarización desde el año 1 al 12, la formación docente y el modelado de la enseñanza en el nivel terciario. Además, el libro destaca el aprendizaje y el desarrollo profesional de los docentes en servicio, particularmente en sistemas donde la introducción de modelos en los planes de estudio significa reevaluar cómo se enseñan las matemáticas. Dado su alcance, el libro atraerá a investigadores y formadores de docentes en educación matemática, asà como a docentes en formación y educadores escolares y universitarios. Nota de contenido: Preface -- Chapter 1. State of the Art on Mathematical Modelling in Mathematics Education – Lines of Inquiry -- Chapter 2. Towards a Framework for a Dialectical Relationship between Pedagogical Practice and Research -- Chapter 3. Interplay between Research and Development of Teaching Practices in Mathematical Modelling -- Chapter 4. Establishing the Construct: Task Context -- Chapter 5. Approaches to Investigating Complex Dynamical Systems -- Chapter 6. Precision, Priorities, and Proxies in Mathematical Modelling -- Chapter 7. A Modelling Perspective on Students' Reasoning: From a Mathematical Model to a Motion Model -- Chapter 8. Teachers as Learners: Understanding and Valuing Mathematical Modelling through Professional Development -- Chapter 9. Assessing Sub-Competencies of Mathematical Modelling with the Help of Item Response Theory – Presentation of a New Test Instrument -- Chapter 10. The Influence ofTechnology on the Mathematical Modelling of Physical Phenomena -- Chapter 11. Adapting a Cognitive Tool for Representing Prospective and Practicing Teachers' Interpretations of Students' Modelling Activities -- Chapter 12. Heuristic Strategies in Modelling Problems -- Chapter 13. The Impact of Task Authenticity on Students' Mathematical Modelling Process -- Chapter 14. Children with Mathematical Difficulties Cope with Modelling Tasks: The Case of Sami -- Chapter 15. Data modelling -- Chapter 16. Conclusions and Future Lines of Inquiry in Mathematical Modelling Research in Education -- Index. Tipo de medio : Computadora Summary : This open access book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24–31, 2016. It contributes to the theory, research and teaching practice concerning this key topic by taking into account the importance of relations between mathematics and the real world. Further, the book addresses the "balancing act" between developing students' modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms. The contributions, prepared by authors from 9 countries, reflect the spectrum of international debates on the topic, and the examples presented span schooling from years 1 to 12, teacher education, and teaching modelling at the tertiary level. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught. Given its scope, the book will appeal to researchers and teacher educators in mathematics education, as well as pre-service teachers and school and university educators. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Lines of Inquiry in Mathematical Modelling Research in Education [documento electrónico] / Stillman, Gloria Ann, ; Brown, Jill P., . - 1 ed. . - [s.l.] : Springer, 2019 . - X, 259 p. 60 ilustraciones, 27 ilustraciones en color.
ISBN : 978-3-030-14931-4
Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos.
Idioma : Inglés (eng)
Palabras clave: Matemáticas Aprendizaje PsicologÃa de Docente Educación Matemática PsicologÃa Instruccional Enseñanza y formación docente Clasificación: 510.71 Resumen: Este libro de acceso abierto se basa en presentaciones seleccionadas del Grupo de Estudio del Tema 21: Aplicaciones y modelos matemáticos en la enseñanza y el aprendizaje de las matemáticas en el 13º Congreso Internacional sobre Educación Matemática (ICME 13), celebrado en Hamburgo, Alemania, del 24 al 31 de julio. 2016. Contribuye a la teorÃa, la investigación y la práctica docente sobre este tema clave al tomar en cuenta la importancia de las relaciones entre las matemáticas y el mundo real. Además, el libro aborda el "acto de equilibrio" entre el desarrollo de las habilidades de modelado de los estudiantes, por un lado, y el uso del modelado para ayudarlos a aprender matemáticas, por el otro, que surge de la integración del modelado en las aulas. Las contribuciones, preparadas por autores de 9 paÃses, reflejan el espectro de debates internacionales sobre el tema, y ​​los ejemplos presentados abarcan la escolarización desde el año 1 al 12, la formación docente y el modelado de la enseñanza en el nivel terciario. Además, el libro destaca el aprendizaje y el desarrollo profesional de los docentes en servicio, particularmente en sistemas donde la introducción de modelos en los planes de estudio significa reevaluar cómo se enseñan las matemáticas. Dado su alcance, el libro atraerá a investigadores y formadores de docentes en educación matemática, asà como a docentes en formación y educadores escolares y universitarios. Nota de contenido: Preface -- Chapter 1. State of the Art on Mathematical Modelling in Mathematics Education – Lines of Inquiry -- Chapter 2. Towards a Framework for a Dialectical Relationship between Pedagogical Practice and Research -- Chapter 3. Interplay between Research and Development of Teaching Practices in Mathematical Modelling -- Chapter 4. Establishing the Construct: Task Context -- Chapter 5. Approaches to Investigating Complex Dynamical Systems -- Chapter 6. Precision, Priorities, and Proxies in Mathematical Modelling -- Chapter 7. A Modelling Perspective on Students' Reasoning: From a Mathematical Model to a Motion Model -- Chapter 8. Teachers as Learners: Understanding and Valuing Mathematical Modelling through Professional Development -- Chapter 9. Assessing Sub-Competencies of Mathematical Modelling with the Help of Item Response Theory – Presentation of a New Test Instrument -- Chapter 10. The Influence ofTechnology on the Mathematical Modelling of Physical Phenomena -- Chapter 11. Adapting a Cognitive Tool for Representing Prospective and Practicing Teachers' Interpretations of Students' Modelling Activities -- Chapter 12. Heuristic Strategies in Modelling Problems -- Chapter 13. The Impact of Task Authenticity on Students' Mathematical Modelling Process -- Chapter 14. Children with Mathematical Difficulties Cope with Modelling Tasks: The Case of Sami -- Chapter 15. Data modelling -- Chapter 16. Conclusions and Future Lines of Inquiry in Mathematical Modelling Research in Education -- Index. Tipo de medio : Computadora Summary : This open access book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24–31, 2016. It contributes to the theory, research and teaching practice concerning this key topic by taking into account the importance of relations between mathematics and the real world. Further, the book addresses the "balancing act" between developing students' modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms. The contributions, prepared by authors from 9 countries, reflect the spectrum of international debates on the topic, and the examples presented span schooling from years 1 to 12, teacher education, and teaching modelling at the tertiary level. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught. Given its scope, the book will appeal to researchers and teacher educators in mathematics education, as well as pre-service teachers and school and university educators. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]
TÃtulo : Mathematical Modelling and Applications : Crossing and Researching Boundaries in Mathematics Education Tipo de documento: documento electrónico Autores: Stillman, Gloria Ann, ; Blum, Werner, ; Kaiser, Gabriele, Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2017 Número de páginas: XI, 647 p. 139 ilustraciones ISBN/ISSN/DL: 978-3-319-62968-1 Nota general: Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: Matemáticas Aprendizaje PsicologÃa de Docente Tecnologia Educacional Educación Matemática PsicologÃa Instruccional Enseñanza y formación docente Educación Digital y TecnologÃa Educativa Clasificación: 510.71 Resumen: Este volumen documenta la investigación y la teorización en curso en el subcampo de la educación matemática dedicado a la enseñanza y el aprendizaje de modelos y aplicaciones matemáticas. Los modelos matemáticos proporcionan una manera de concebir y resolver problemas en el mundo de la vida de las personas, ya sea que vayan desde el nivel cotidiano de aritmética individual hasta nuevos y sofisticados problemas para la sociedad en general. Se considera que los modelos matemáticos y las aplicaciones del mundo real tienen potencial para el trabajo multidisciplinario que involucra conocimientos de una variedad de comunidades de práctica, como aquellas en diferentes lugares de trabajo (por ejemplo, los de educadores, diseñadores, ingenieros de construcción, curadores de museos) y en diferentes campos de actividad académica (p. ej., historia, arqueologÃa, matemáticas, economÃa). Desde una perspectiva educativa, investigar el desarrollo de competencias en el modelado del mundo real implica una investigación situada en cruzar los lÃmites entre ser un estudiante dedicado al modelado o la aplicación matemática a tareas reales en el aula, ser un profesor de modelado matemático (dentro o fuera del aula o unir ambos), y ser un modelador del mundo fuera del aula. Este es el enfoque de muchos de los autores de los capÃtulos de este libro. Todos los autores de este volumen son miembros de la Comunidad Internacional de Profesores de Modelización Matemática (ICTMA), el principal organismo de investigación dedicado a la enseñanza y el aprendizaje de la modelización matemática en todos los niveles de la educación, desde los primeros años hasta la educación terciaria, asà como en la lugar de trabajo. Nota de contenido: Series Preface, Gabriele Kaiser and Gloria Stillman -- Boundary Crossings in Mathematical Modelling and Applications Educational Research and Practice, Gloria Stillman, Werner Blum, and Gabriele Kaiser -- Part I New Approaches in Research, Teaching and Practice from Crossing Boundaries -- Mathematical Modelling with Increasing Learning Aids – A Video Study, Deike S. Alfke (née Jütting) -- Modelling with Statistical Data: Characterisation of Student Models, Àngels Aymerich, Núria Gorgorió, and LluÃs AlbarracÃn -- How Teachers Can Promote Mathematising by Means of Mathematical City Walks, Nils Buchholtz -- L'Hospital's Weight Problem: Testing the Boundaries between Mathematics and Physics, between Application and Modelling, France Caron and Kathleen Pineau. Representations of Modelling in Mathematics Education, Helen M. Doerr, Jonas B. Ärlebäck and Morten Misfeldt -- The Primacy of 'Noticing': a Key to Successful Modelling, Peter Galbraith, Gloria Ann Stillman and Jill P. Brown -- Combining Models Related to Data Distribution through Productive Experimentation, Takashi Kawakami -- Reconciling Intuitions and Conventional Knowledge: The Challenge of Teaching and Learning Mathematical Modelling, Azita Manouchehri and Stephen T. Lewis -- A Modelling Perspective in Designing Teacher Professional Learning Communities, Nicholas Mousoulides, Marilena Nicolaidou, and Maria Evagorou -- Mathematical Modelling and Proof by Recurrence: an Analysis from a Wittgensteinian Perspective, Bárbara Palharini, Emerson Tortola and Lourdes Maria Werle de Almeida -- Quality Criteria for Mathematical Models in Relation to Models' Purposes - Their Usefulness in Engineering Education, Jacob Perrenet, Bert Zwaneveld, Kees van Overveld and Tijn Borghuis -- Ethnomodelling as the Mathematization of Cultural Practices, Milton Rosa and Daniel Clark Orey -- Enabling Anticipation through Visualisation in Mathematising Real World Problems in a Flipped Classroom, Gloria Ann Stillman -- Measuring Metacognitive Modelling Competencies, Katrin Vorhölter -- Part II Researching Boundaries in Mathematical Modelling Education -- The Mathematical Modelling Competencies Required for Solving Engineering Statics Assignments, Burkhard Alpers -- Pre-service Teachers' Levels of Reflectivity after Mathematical Modelling Activities with High-School Students, Rita Borromeo Ferri -- Context and Understanding: The Case of Linear Models, Jill P. Brown -- Difficulties in Teaching Modelling: A French-Spanish Exploration, Richard Cabassut and Irene Ferrando -- How Students Connect Mathematical Models to Descriptions of Real-World Situations, Dirk De Bock, Nele Veracx and Wim Van Dooren -- Mathematical Modelling Strategies and Attitudes of Third Year Pre-Service Teachers, Rina Durandt and Gerrie J Jacobs -- Exploring the Notion of Mathematical Literacy in Curricula Documents, Peter Frejd and Vincent Geiger -- Design and Implementation of a Tool for Analysing Student Products when They Solve Fermi Problems, César Gallart, Irene Ferrando, LluÃs M. GarcÃa-Raffi, LluÃs AlbarracÃn and Núria Gorgorió -- Implementing Modelling into Classrooms – Results of an Empirical Research Study, Jana Kreckler -- A Commognitive Perspective on Pre-service Secondary Teachers' Content Knowledge in Mathematical Modelling, Joo Young Park -- Mathematics Teachers' Learning at the Boundaries of Teaching, Research and Workplace, Giorgos Psycharis and Despina Potari -- Case Study of Pre-service Teachers Education for Mathematical Modelling and Applications Connecting Paintings with Mathematics, Akihiko Saeki, Masafumi Kaneko and Daisuke Saito -- Inquiry and Modelling in a Real Archaeological Context, Gemma Sala Sebastià , Vicenç Font Moll, Joaquim Giménez RodrÃguez, Berta Barquero Farrà s -- Students' Overreliance on Linearity in Economic Applications: A State of the Art, Daam Van Reeth and Dirk De Bock -- Part III Pedagogical Issues for Teachers and Teacher Educators Using Mathematical Modelling and Applications -- Teaching Modelling and Systemic Change, Hugh Burkhardt and Malcolm Swan -- Mathematical Modelling as a Professional Activity – Lessons for the Classroom, Peter Frejd -- Modelling Task Design: Sciences Teachers' View, Carolina Guerrero-Ortiz and Jaime Mena-Lorca -- Modelling as Interactive Translations among Plural Worlds - Experimental teaching using the Night Time Problem, Toshikazu Ikeda and Max Stephens -- The Dual Modelling Cycle Framework: Report on an Australian Study, Janeen Lamb, Akio Matsuzaki, Akihiko Saeki and Takashi Kawakami -- Implementing Mathematical Modelling: The Challenge of Teacher Educating, Azita Manouchehri -- The Velocity Concept – History of its Modelling Development, Regina Dorothea Moeller -- Developing a Mathematical Modelling Task for All Students, Edel Reilly -- Hidden Benefits of Modelling for Students with Disabilities, Rina Scott-Wilson, Dirk Wessels, Helena Wessels, and Estelle Swart -- Scaffolding Complex Modelling Processes – An In-depth Study, Peter Stender,Nadine Krosanke and Gabriele Kaiser -- Long-term Development of How Students Interpret a model; Complementarity of Contexts and Mathematics, Pauline Vos and Gerrit Roorda, Exploring Aspects of Creativity in Mathematical Modelling, Helena Wessels -- Mathematical Modelling in Dutch Textbooks: Is it Genuine Mathematical Modelling? Bert Zwaneveld, Jacob Perrenet, Kees van Overveld and Tijn Borghuis -- Part IV Influences of Technologies on Modelling and Applications -- Initial Results of an Intervention Using a Mobile Game App to Simulate A Pandemic Outbreak, Peter Frejd and Jonas B. Ärlebäck -- Modelling and Simulation with the Help of Digital Tools, Gilbert Greefrath and Hans-Stefan Siller -- Mathematical Modelling for Engineering Diploma Students: Perspectives on Visualisation, Hanti Kotze, Gerrie J. Jacobs, Erica D. Spangenberg -- Interactive Diagrams Used for Collaborative Learning Concerning Mathematical Models of Motion, Elena Naftaliev -- Using Modelling and Tablets in the Classroom to Learn Quadratic Functions, Miriam Ortega and Luis Puig -- Mathematical Modelling in a Long Distance Teacher Education in Brazil: Democratising Mathematics, Daniel Clark Orey and Milton Rosa -- Part V Assessment of Mathematical Modelling in Schools -- Six Principles to Assess Modelling Abilities of Students Working in Groups, Piera Biccard and Dirk Wessels -- Assessing Mathematizing Competences through Multiple Choice Tasks: Using Students' Response Processes to Investigate Task Validity, Brikena Djepaxhija, Pauline Vos and Anne Berit Fuglestad -- Part VI Applicability at Different Levels of Schooling -- How to Build a Hydrogen Refuelling Station Infrastructure in Germany – an Interdisciplinary Project Approach for Mathematics Classrooms, Irene Grafenhofer and Hans-Stefan Siller -- Authentic Mathematical Modelling Experiences of Upper Secondary School: A Case Study, Kerri Spooner -- Refereeing Process -- Index. Tipo de medio : Computadora Summary : This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for multi-disciplinary work that involves knowledge from a variety of communities of practice such as those in different workplaces (e.g., those of educators, designers, construction engineers, museum curators) and in different fields of academic endeavour (e.g., history, archaeology, mathematics, economics). From an educational perspective, researching the development of competency in real world modelling involves research situated in crossing the boundaries between being a student engaged in modelling or mathematical application to real word tasks in the classroom, being a teacher of mathematical modelling (in or outside the classroom or bridging both), and being a modeller of the world outside the classroom. This is the focus of many of the authors of the chapters in this book. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Mathematical Modelling and Applications : Crossing and Researching Boundaries in Mathematics Education [documento electrónico] / Stillman, Gloria Ann, ; Blum, Werner, ; Kaiser, Gabriele, . - 1 ed. . - [s.l.] : Springer, 2017 . - XI, 647 p. 139 ilustraciones.
ISBN : 978-3-319-62968-1
Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos.
Idioma : Inglés (eng)
Palabras clave: Matemáticas Aprendizaje PsicologÃa de Docente Tecnologia Educacional Educación Matemática PsicologÃa Instruccional Enseñanza y formación docente Educación Digital y TecnologÃa Educativa Clasificación: 510.71 Resumen: Este volumen documenta la investigación y la teorización en curso en el subcampo de la educación matemática dedicado a la enseñanza y el aprendizaje de modelos y aplicaciones matemáticas. Los modelos matemáticos proporcionan una manera de concebir y resolver problemas en el mundo de la vida de las personas, ya sea que vayan desde el nivel cotidiano de aritmética individual hasta nuevos y sofisticados problemas para la sociedad en general. Se considera que los modelos matemáticos y las aplicaciones del mundo real tienen potencial para el trabajo multidisciplinario que involucra conocimientos de una variedad de comunidades de práctica, como aquellas en diferentes lugares de trabajo (por ejemplo, los de educadores, diseñadores, ingenieros de construcción, curadores de museos) y en diferentes campos de actividad académica (p. ej., historia, arqueologÃa, matemáticas, economÃa). Desde una perspectiva educativa, investigar el desarrollo de competencias en el modelado del mundo real implica una investigación situada en cruzar los lÃmites entre ser un estudiante dedicado al modelado o la aplicación matemática a tareas reales en el aula, ser un profesor de modelado matemático (dentro o fuera del aula o unir ambos), y ser un modelador del mundo fuera del aula. Este es el enfoque de muchos de los autores de los capÃtulos de este libro. Todos los autores de este volumen son miembros de la Comunidad Internacional de Profesores de Modelización Matemática (ICTMA), el principal organismo de investigación dedicado a la enseñanza y el aprendizaje de la modelización matemática en todos los niveles de la educación, desde los primeros años hasta la educación terciaria, asà como en la lugar de trabajo. Nota de contenido: Series Preface, Gabriele Kaiser and Gloria Stillman -- Boundary Crossings in Mathematical Modelling and Applications Educational Research and Practice, Gloria Stillman, Werner Blum, and Gabriele Kaiser -- Part I New Approaches in Research, Teaching and Practice from Crossing Boundaries -- Mathematical Modelling with Increasing Learning Aids – A Video Study, Deike S. Alfke (née Jütting) -- Modelling with Statistical Data: Characterisation of Student Models, Àngels Aymerich, Núria Gorgorió, and LluÃs AlbarracÃn -- How Teachers Can Promote Mathematising by Means of Mathematical City Walks, Nils Buchholtz -- L'Hospital's Weight Problem: Testing the Boundaries between Mathematics and Physics, between Application and Modelling, France Caron and Kathleen Pineau. Representations of Modelling in Mathematics Education, Helen M. Doerr, Jonas B. Ärlebäck and Morten Misfeldt -- The Primacy of 'Noticing': a Key to Successful Modelling, Peter Galbraith, Gloria Ann Stillman and Jill P. Brown -- Combining Models Related to Data Distribution through Productive Experimentation, Takashi Kawakami -- Reconciling Intuitions and Conventional Knowledge: The Challenge of Teaching and Learning Mathematical Modelling, Azita Manouchehri and Stephen T. Lewis -- A Modelling Perspective in Designing Teacher Professional Learning Communities, Nicholas Mousoulides, Marilena Nicolaidou, and Maria Evagorou -- Mathematical Modelling and Proof by Recurrence: an Analysis from a Wittgensteinian Perspective, Bárbara Palharini, Emerson Tortola and Lourdes Maria Werle de Almeida -- Quality Criteria for Mathematical Models in Relation to Models' Purposes - Their Usefulness in Engineering Education, Jacob Perrenet, Bert Zwaneveld, Kees van Overveld and Tijn Borghuis -- Ethnomodelling as the Mathematization of Cultural Practices, Milton Rosa and Daniel Clark Orey -- Enabling Anticipation through Visualisation in Mathematising Real World Problems in a Flipped Classroom, Gloria Ann Stillman -- Measuring Metacognitive Modelling Competencies, Katrin Vorhölter -- Part II Researching Boundaries in Mathematical Modelling Education -- The Mathematical Modelling Competencies Required for Solving Engineering Statics Assignments, Burkhard Alpers -- Pre-service Teachers' Levels of Reflectivity after Mathematical Modelling Activities with High-School Students, Rita Borromeo Ferri -- Context and Understanding: The Case of Linear Models, Jill P. Brown -- Difficulties in Teaching Modelling: A French-Spanish Exploration, Richard Cabassut and Irene Ferrando -- How Students Connect Mathematical Models to Descriptions of Real-World Situations, Dirk De Bock, Nele Veracx and Wim Van Dooren -- Mathematical Modelling Strategies and Attitudes of Third Year Pre-Service Teachers, Rina Durandt and Gerrie J Jacobs -- Exploring the Notion of Mathematical Literacy in Curricula Documents, Peter Frejd and Vincent Geiger -- Design and Implementation of a Tool for Analysing Student Products when They Solve Fermi Problems, César Gallart, Irene Ferrando, LluÃs M. GarcÃa-Raffi, LluÃs AlbarracÃn and Núria Gorgorió -- Implementing Modelling into Classrooms – Results of an Empirical Research Study, Jana Kreckler -- A Commognitive Perspective on Pre-service Secondary Teachers' Content Knowledge in Mathematical Modelling, Joo Young Park -- Mathematics Teachers' Learning at the Boundaries of Teaching, Research and Workplace, Giorgos Psycharis and Despina Potari -- Case Study of Pre-service Teachers Education for Mathematical Modelling and Applications Connecting Paintings with Mathematics, Akihiko Saeki, Masafumi Kaneko and Daisuke Saito -- Inquiry and Modelling in a Real Archaeological Context, Gemma Sala Sebastià , Vicenç Font Moll, Joaquim Giménez RodrÃguez, Berta Barquero Farrà s -- Students' Overreliance on Linearity in Economic Applications: A State of the Art, Daam Van Reeth and Dirk De Bock -- Part III Pedagogical Issues for Teachers and Teacher Educators Using Mathematical Modelling and Applications -- Teaching Modelling and Systemic Change, Hugh Burkhardt and Malcolm Swan -- Mathematical Modelling as a Professional Activity – Lessons for the Classroom, Peter Frejd -- Modelling Task Design: Sciences Teachers' View, Carolina Guerrero-Ortiz and Jaime Mena-Lorca -- Modelling as Interactive Translations among Plural Worlds - Experimental teaching using the Night Time Problem, Toshikazu Ikeda and Max Stephens -- The Dual Modelling Cycle Framework: Report on an Australian Study, Janeen Lamb, Akio Matsuzaki, Akihiko Saeki and Takashi Kawakami -- Implementing Mathematical Modelling: The Challenge of Teacher Educating, Azita Manouchehri -- The Velocity Concept – History of its Modelling Development, Regina Dorothea Moeller -- Developing a Mathematical Modelling Task for All Students, Edel Reilly -- Hidden Benefits of Modelling for Students with Disabilities, Rina Scott-Wilson, Dirk Wessels, Helena Wessels, and Estelle Swart -- Scaffolding Complex Modelling Processes – An In-depth Study, Peter Stender,Nadine Krosanke and Gabriele Kaiser -- Long-term Development of How Students Interpret a model; Complementarity of Contexts and Mathematics, Pauline Vos and Gerrit Roorda, Exploring Aspects of Creativity in Mathematical Modelling, Helena Wessels -- Mathematical Modelling in Dutch Textbooks: Is it Genuine Mathematical Modelling? Bert Zwaneveld, Jacob Perrenet, Kees van Overveld and Tijn Borghuis -- Part IV Influences of Technologies on Modelling and Applications -- Initial Results of an Intervention Using a Mobile Game App to Simulate A Pandemic Outbreak, Peter Frejd and Jonas B. Ärlebäck -- Modelling and Simulation with the Help of Digital Tools, Gilbert Greefrath and Hans-Stefan Siller -- Mathematical Modelling for Engineering Diploma Students: Perspectives on Visualisation, Hanti Kotze, Gerrie J. Jacobs, Erica D. Spangenberg -- Interactive Diagrams Used for Collaborative Learning Concerning Mathematical Models of Motion, Elena Naftaliev -- Using Modelling and Tablets in the Classroom to Learn Quadratic Functions, Miriam Ortega and Luis Puig -- Mathematical Modelling in a Long Distance Teacher Education in Brazil: Democratising Mathematics, Daniel Clark Orey and Milton Rosa -- Part V Assessment of Mathematical Modelling in Schools -- Six Principles to Assess Modelling Abilities of Students Working in Groups, Piera Biccard and Dirk Wessels -- Assessing Mathematizing Competences through Multiple Choice Tasks: Using Students' Response Processes to Investigate Task Validity, Brikena Djepaxhija, Pauline Vos and Anne Berit Fuglestad -- Part VI Applicability at Different Levels of Schooling -- How to Build a Hydrogen Refuelling Station Infrastructure in Germany – an Interdisciplinary Project Approach for Mathematics Classrooms, Irene Grafenhofer and Hans-Stefan Siller -- Authentic Mathematical Modelling Experiences of Upper Secondary School: A Case Study, Kerri Spooner -- Refereeing Process -- Index. Tipo de medio : Computadora Summary : This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for multi-disciplinary work that involves knowledge from a variety of communities of practice such as those in different workplaces (e.g., those of educators, designers, construction engineers, museum curators) and in different fields of academic endeavour (e.g., history, archaeology, mathematics, economics). From an educational perspective, researching the development of competency in real world modelling involves research situated in crossing the boundaries between being a student engaged in modelling or mathematical application to real word tasks in the classroom, being a teacher of mathematical modelling (in or outside the classroom or bridging both), and being a modeller of the world outside the classroom. This is the focus of many of the authors of the chapters in this book. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Mathematical Modelling Education and Sense-making / Stillman, Gloria Ann ; Kaiser, Gabriele ; Lampen, Christine Erna
TÃtulo : Mathematical Modelling Education and Sense-making Tipo de documento: documento electrónico Autores: Stillman, Gloria Ann, ; Kaiser, Gabriele, ; Lampen, Christine Erna, Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2020 Número de páginas: XI, 521 p. 95 ilustraciones ISBN/ISSN/DL: 978-3-030-37673-4 Nota general: Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: Matemáticas Aprendizaje PsicologÃa de Pruebas y mediciones educativas. Docente Educación Matemática PsicologÃa Instruccional Evaluación y pruebas Enseñanza y formación docente Clasificación: 510.71 Resumen: Este volumen documenta la investigación y la teorización en curso en el subcampo de la educación matemática dedicado a la enseñanza y el aprendizaje de modelos y aplicaciones matemáticas. Los modelos matemáticos proporcionan una forma de concebir y resolver problemas en la vida cotidiana de las personas, asà como nuevos problemas sofisticados para la sociedad en general. Se considera que los modelos matemáticos y las aplicaciones del mundo real tienen potencial para cultivar el sentido en el aula. Este libro se centra en la perspectiva educativa; la investigación de las complejidades que se encuentran en la enseñanza y el aprendizaje efectivos del modelado y las aplicaciones del mundo real para la creación de sentido es sólo el comienzo. Todos los autores de este volumen son miembros de la Comunidad Internacional de Profesores de Modelización Matemática (ICTMA), el principal organismo de investigación dedicado a la enseñanza y el aprendizaje de la modelización matemática en todos los niveles de la educación, desde los primeros años hasta la educación terciaria, asà como en la lugar de trabajo. Nota de contenido: Series Preface; Gabriele Kaiser and Gloria Stillman -- Helena Wessels – Her 'Life Story'; Dirk Wessels -- 1. Sense-Making in Mathematical Modelling and Applications Educational Research and Practice; Gloria Stillman, Gabriele Kaiser, and Erna Lampen -- Part I Innovative Approaches in Modelling Educational Research and Teaching -- 2. Connections of Science Capital and the Teaching and Learning of Mathematical Modelling - an Introduction; Pauline Vos, Paul Hernandez-Martinez and Peter Frejd -- 3. Teachers' Possibilities to Generate Science Capital for Modelling; Peter Frejd -- 4. Science Capital, Habitus and Mathematical Modelling Practices in the Field of University Education; Paul Hernandez-Martinez -- 5. On Science Museums, Science Capital and the Public Understanding of Mathematical Modelling; Pauline Vos -- 6. Working as a Cross-Institutional Collaborator Network to Develop Enhanced Analyses of Learners' Models and Modelling; Corey Brady, Jeffrey A. McLean, Hyunyi Jung, Aran W. Glancy and Ãngeles DomÃnguez -- 7. Mapping Shifting Discourses in Classroom Talk Through Indexical Discourse Analysis: From the World of Mathematics to the World of Work; Stephen T. Lewis and Azita Manouchehri -- 8. Joy of Mathematical Modelling: A Forgotten Perspective?; Yuriy Rogovchenko, Olov Viirman and Stephanie Treffert-Thomas -- 9. Re-Signifying Function Concept: A Mixed Methods Study to Understand the Contributions of the Dialogic Approach of Ethnomodelling; Milton Rosa, Daniel Clark Orey and Diego Pereira de Oliveira Cortes -- Part II Research into or Evaluation of, Teaching Practice in Mathematical Modelling Education -- 10. Sense-Making with the Mathematical Modelling Process: Developing a Framework for Faculty Practice; Todd Abel, Mary Elizabeth Searcy and Tracie McLemore Salinas -- 11. Mathematical Modelling with a Solution Plan – An Intervention Study about the Development of Grade 9 Students' Modelling Competencies; Catharina Adamek -- 12. A case study of the tensions and challenges arising as an upper secondary teacher designs and implements a model development sequence on statistics; Jonas Bergman Ärlebäck -- 13. Year 6 Students' Gradual Identification of Mathematical Models of Average Speed when Making Sense of 'Walking'; Takashi Kawakami, Shigekazu Komeda and Akihiko Saeki -- 14. A Time-Based Measurement of the Intensity of Difficulties in the Modelling Process; Heiner Klock and Hans-Stefan Siller -- 15. Deepening and Expanding Mathematical Models of Speed in Relation to Walking: The Case of Year 8 Students; Shigekazu Komeda, Takashi Kawakami, Masafumi Kaneko and Takashi Yamaguchi -- 16. Facilitating Modelling Activities in a Grade 5 Classroom; Azita Manouchehri, Mehmet Bekdemir and Xiangquan Yao -- 17. Mathematical Modelling as a Learning Environment to Transform a Street Activity into a Sport Practice; Daniel Clark Orey, Milton Rosa and Rogério Braga Soares -- 18. Co-development of engineering technician and mathematical modelling competencies; Lidamaride Villiers and Dirk Wessels -- Part III Pedagogical Issues for Teachers and Teacher Educators Using Mathematical Modelling and Applications -- 19. Sensemaking in Modelling Tasks - What Can We Learn From Other Domains?; Piera Biccard -- 20. The Deployment of Mathematics in Areas other than Those Normally Associated with Mathematical Modelling and the Applications of Mathematics; Cyril Julie -- 21. Rising to the Challenge: Promoting Mathematical Modelling as Real-World Problem Solving; Peter Galbraith, Derek Holton and Ross Turner -- 22. Mathematics Trails and Learning Barriers; Iwan Gurjanow and Matthias Ludwig -- 23. Validating with the Use of a Dynamic Geometry Software; Corinna Hankeln -- 24. Using a Mathematical Modelling Activity to Assist Students to Make Sense of a Limit Theorem in Trigonometry; Toshikazu Ikeda and Max Stephens -- 25. Exploring Habits and Habitus of Biomedical Students with Modelling Tasks; Hanti Kotze -- 26. Metacognitive Strategies in Group Work in Mathematical Modelling Activities – the Students' Perspective; Alexandra Krüger, Katrin Vorhölter and Gabriele Kaiser -- 27. Fostering Students´ Construction of Meaningfulness of Mathematics with Mathematical Modelling Problems; Katrin Vorhölter and Björn Schwarz -- 28. Teachers' Perspectives on Students' Metacognitive Strategies During Mathematical Modelling Processes – a Case Study; Lisa Wendt, Katrin Vorhölter and Gabriele Kaiser -- Part IV Assessment of Mathematical Modelling in Schools -- 29. Cognitive Diagnostic Modelling for Mathematical Modeling Assessment; Cigdem Alagoz and Celil Ekici -- 30. Occurrences of Mathematical Modelling Competencies in the Nationally-set Examination for Mathematical Literacy in South Africa; Mbulelo Bali, Cyril Julie, and Monde Mbekwa -- 31. Expectations for Challenge in Modelling and its Assessment; Jill Brown -- 32. Modelling Tasks in Central Examinations Based on the Example of Austria; Hans-Stefan Siller and Gilbert Greefrath -- Part V Applicability at Different Levels ofSchooling and University -- 33. Characterising Modelling Competency in Students' Projects: Experiences from a Natural Science Bachelor Program; Morten Blomhøj -- 34. From Royaumont to Lyon: Applications and Modelling During the Sixties; Dirk De Bock and Bert Zwaneveld -- 35. Interactive Case Practice Teaching on Mathematical Modelling Course; Xiaojun Duan, Dan Wang and Mengda Wu -- 36. Pre-service Teachers' Sense Making of Mathematical Modelling through a Design-Based Research Strategy; Rina Durandt and Geoffrey V. Lautenbach -- 37. Mathematical Modelling: A 'Growing Tree' for Creative and Flexible Thinking in Pre-service Mathematics Teachers; Rajendran Govender -- 38. Implementation of teacher trainings to promote action orientated and interdisciplinary modeling projects; Jean-Marie Lantau, Martin Bracke, Wolfgang Bock, and Patrick Capraro -- 39. Using Mathematical Modelling in the Teaching and Learning of Mathematical Literacy: Perspectives on the South African Context; Duncan Mhakure -- 40A Lecturer's View on Teaching Mathematical Modelling; Kerri Spooner -- Part VI Examples of Modelling and Applications in Practice -- 41. Embodied Phenomenology in Mathematical Modeling of Sailing for Integrated STEM Learning; Celil Ekici and Cigdem Alagoz -- 42. Algebra Students Build Stock/Flow Models to Study Non-linear, Dynamic, Feedback System Problems; Diana M. Fisher -- Index. Tipo de medio : Computadora Summary : This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people's everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Mathematical Modelling Education and Sense-making [documento electrónico] / Stillman, Gloria Ann, ; Kaiser, Gabriele, ; Lampen, Christine Erna, . - 1 ed. . - [s.l.] : Springer, 2020 . - XI, 521 p. 95 ilustraciones.
ISBN : 978-3-030-37673-4
Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos.
Idioma : Inglés (eng)
Palabras clave: Matemáticas Aprendizaje PsicologÃa de Pruebas y mediciones educativas. Docente Educación Matemática PsicologÃa Instruccional Evaluación y pruebas Enseñanza y formación docente Clasificación: 510.71 Resumen: Este volumen documenta la investigación y la teorización en curso en el subcampo de la educación matemática dedicado a la enseñanza y el aprendizaje de modelos y aplicaciones matemáticas. Los modelos matemáticos proporcionan una forma de concebir y resolver problemas en la vida cotidiana de las personas, asà como nuevos problemas sofisticados para la sociedad en general. Se considera que los modelos matemáticos y las aplicaciones del mundo real tienen potencial para cultivar el sentido en el aula. Este libro se centra en la perspectiva educativa; la investigación de las complejidades que se encuentran en la enseñanza y el aprendizaje efectivos del modelado y las aplicaciones del mundo real para la creación de sentido es sólo el comienzo. Todos los autores de este volumen son miembros de la Comunidad Internacional de Profesores de Modelización Matemática (ICTMA), el principal organismo de investigación dedicado a la enseñanza y el aprendizaje de la modelización matemática en todos los niveles de la educación, desde los primeros años hasta la educación terciaria, asà como en la lugar de trabajo. Nota de contenido: Series Preface; Gabriele Kaiser and Gloria Stillman -- Helena Wessels – Her 'Life Story'; Dirk Wessels -- 1. Sense-Making in Mathematical Modelling and Applications Educational Research and Practice; Gloria Stillman, Gabriele Kaiser, and Erna Lampen -- Part I Innovative Approaches in Modelling Educational Research and Teaching -- 2. Connections of Science Capital and the Teaching and Learning of Mathematical Modelling - an Introduction; Pauline Vos, Paul Hernandez-Martinez and Peter Frejd -- 3. Teachers' Possibilities to Generate Science Capital for Modelling; Peter Frejd -- 4. Science Capital, Habitus and Mathematical Modelling Practices in the Field of University Education; Paul Hernandez-Martinez -- 5. On Science Museums, Science Capital and the Public Understanding of Mathematical Modelling; Pauline Vos -- 6. Working as a Cross-Institutional Collaborator Network to Develop Enhanced Analyses of Learners' Models and Modelling; Corey Brady, Jeffrey A. McLean, Hyunyi Jung, Aran W. Glancy and Ãngeles DomÃnguez -- 7. Mapping Shifting Discourses in Classroom Talk Through Indexical Discourse Analysis: From the World of Mathematics to the World of Work; Stephen T. Lewis and Azita Manouchehri -- 8. Joy of Mathematical Modelling: A Forgotten Perspective?; Yuriy Rogovchenko, Olov Viirman and Stephanie Treffert-Thomas -- 9. Re-Signifying Function Concept: A Mixed Methods Study to Understand the Contributions of the Dialogic Approach of Ethnomodelling; Milton Rosa, Daniel Clark Orey and Diego Pereira de Oliveira Cortes -- Part II Research into or Evaluation of, Teaching Practice in Mathematical Modelling Education -- 10. Sense-Making with the Mathematical Modelling Process: Developing a Framework for Faculty Practice; Todd Abel, Mary Elizabeth Searcy and Tracie McLemore Salinas -- 11. Mathematical Modelling with a Solution Plan – An Intervention Study about the Development of Grade 9 Students' Modelling Competencies; Catharina Adamek -- 12. A case study of the tensions and challenges arising as an upper secondary teacher designs and implements a model development sequence on statistics; Jonas Bergman Ärlebäck -- 13. Year 6 Students' Gradual Identification of Mathematical Models of Average Speed when Making Sense of 'Walking'; Takashi Kawakami, Shigekazu Komeda and Akihiko Saeki -- 14. A Time-Based Measurement of the Intensity of Difficulties in the Modelling Process; Heiner Klock and Hans-Stefan Siller -- 15. Deepening and Expanding Mathematical Models of Speed in Relation to Walking: The Case of Year 8 Students; Shigekazu Komeda, Takashi Kawakami, Masafumi Kaneko and Takashi Yamaguchi -- 16. Facilitating Modelling Activities in a Grade 5 Classroom; Azita Manouchehri, Mehmet Bekdemir and Xiangquan Yao -- 17. Mathematical Modelling as a Learning Environment to Transform a Street Activity into a Sport Practice; Daniel Clark Orey, Milton Rosa and Rogério Braga Soares -- 18. Co-development of engineering technician and mathematical modelling competencies; Lidamaride Villiers and Dirk Wessels -- Part III Pedagogical Issues for Teachers and Teacher Educators Using Mathematical Modelling and Applications -- 19. Sensemaking in Modelling Tasks - What Can We Learn From Other Domains?; Piera Biccard -- 20. The Deployment of Mathematics in Areas other than Those Normally Associated with Mathematical Modelling and the Applications of Mathematics; Cyril Julie -- 21. Rising to the Challenge: Promoting Mathematical Modelling as Real-World Problem Solving; Peter Galbraith, Derek Holton and Ross Turner -- 22. Mathematics Trails and Learning Barriers; Iwan Gurjanow and Matthias Ludwig -- 23. Validating with the Use of a Dynamic Geometry Software; Corinna Hankeln -- 24. Using a Mathematical Modelling Activity to Assist Students to Make Sense of a Limit Theorem in Trigonometry; Toshikazu Ikeda and Max Stephens -- 25. Exploring Habits and Habitus of Biomedical Students with Modelling Tasks; Hanti Kotze -- 26. Metacognitive Strategies in Group Work in Mathematical Modelling Activities – the Students' Perspective; Alexandra Krüger, Katrin Vorhölter and Gabriele Kaiser -- 27. Fostering Students´ Construction of Meaningfulness of Mathematics with Mathematical Modelling Problems; Katrin Vorhölter and Björn Schwarz -- 28. Teachers' Perspectives on Students' Metacognitive Strategies During Mathematical Modelling Processes – a Case Study; Lisa Wendt, Katrin Vorhölter and Gabriele Kaiser -- Part IV Assessment of Mathematical Modelling in Schools -- 29. Cognitive Diagnostic Modelling for Mathematical Modeling Assessment; Cigdem Alagoz and Celil Ekici -- 30. Occurrences of Mathematical Modelling Competencies in the Nationally-set Examination for Mathematical Literacy in South Africa; Mbulelo Bali, Cyril Julie, and Monde Mbekwa -- 31. Expectations for Challenge in Modelling and its Assessment; Jill Brown -- 32. Modelling Tasks in Central Examinations Based on the Example of Austria; Hans-Stefan Siller and Gilbert Greefrath -- Part V Applicability at Different Levels ofSchooling and University -- 33. Characterising Modelling Competency in Students' Projects: Experiences from a Natural Science Bachelor Program; Morten Blomhøj -- 34. From Royaumont to Lyon: Applications and Modelling During the Sixties; Dirk De Bock and Bert Zwaneveld -- 35. Interactive Case Practice Teaching on Mathematical Modelling Course; Xiaojun Duan, Dan Wang and Mengda Wu -- 36. Pre-service Teachers' Sense Making of Mathematical Modelling through a Design-Based Research Strategy; Rina Durandt and Geoffrey V. Lautenbach -- 37. Mathematical Modelling: A 'Growing Tree' for Creative and Flexible Thinking in Pre-service Mathematics Teachers; Rajendran Govender -- 38. Implementation of teacher trainings to promote action orientated and interdisciplinary modeling projects; Jean-Marie Lantau, Martin Bracke, Wolfgang Bock, and Patrick Capraro -- 39. Using Mathematical Modelling in the Teaching and Learning of Mathematical Literacy: Perspectives on the South African Context; Duncan Mhakure -- 40A Lecturer's View on Teaching Mathematical Modelling; Kerri Spooner -- Part VI Examples of Modelling and Applications in Practice -- 41. Embodied Phenomenology in Mathematical Modeling of Sailing for Integrated STEM Learning; Celil Ekici and Cigdem Alagoz -- 42. Algebra Students Build Stock/Flow Models to Study Non-linear, Dynamic, Feedback System Problems; Diana M. Fisher -- Index. Tipo de medio : Computadora Summary : This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people's everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Mathematical Modelling Education in East and West / Leung, Frederick Koon Shing ; Stillman, Gloria Ann ; Kaiser, Gabriele ; Wong, Ka Lok
TÃtulo : Mathematical Modelling Education in East and West Tipo de documento: documento electrónico Autores: Leung, Frederick Koon Shing, ; Stillman, Gloria Ann, ; Kaiser, Gabriele, ; Wong, Ka Lok, Mención de edición: 1 ed. Editorial: [s.l.] : Springer Fecha de publicación: 2021 Número de páginas: XVII, 658 p. 145 ilustraciones, 64 ilustraciones en color. ISBN/ISSN/DL: 978-3-030-66996-6 Nota general: Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos. Idioma : Inglés (eng) Palabras clave: Matemáticas Educación internacional Educación comparada Docente Educación Matemática Educación internacional y comparada Enseñanza y formación docente Clasificación: 510.71 Resumen: Este libro documenta investigaciones y teorizaciones en curso en el subcampo de la educación matemática dedicado a la enseñanza y el aprendizaje de modelos y aplicaciones matemáticas. Los modelos matemáticos proporcionan una forma de concebir y resolver problemas en la vida cotidiana de las personas, asà como nuevos problemas sofisticados para la sociedad en general. La tradición matemática en China que enfatiza los algoritmos y la computación ha visto ahora un renacimiento en los modelos y aplicaciones matemáticas, donde China ha logrado avances significativos en su economÃa, ciencia y tecnologÃa. En las últimas décadas, la enseñanza y el aprendizaje de modelos matemáticos, asà como los concursos de modelos matemáticos, han florecido en diferentes niveles de educación en China. Hoy en dÃa, los profesores e investigadores en China están cada vez más interesados ​​en aprender de sus colegas de los paÃses occidentales y de otras partes del mundo en la investigación y la enseñanza de modelos y aplicaciones matemáticas. El libro proporciona un diálogo y comunicación entre colegas de todo el mundo con nuevos impulsos y recursos para la educación en modelos matemáticos y su investigación tanto en Occidente como en Oriente con nuevas ideas sobre la enseñanza y las prácticas de modelado, dentro y fuera de las aulas. Todos los autores de este libro son miembros de la Comunidad Internacional de Profesores de Modelado y Aplicaciones Matemáticas (ICTMA), el principal organismo de investigación dedicado a la enseñanza, la evaluación y el aprendizaje de la modelización matemática en todos los niveles de la educación, desde los primeros años hasta la educación terciaria. asà como en el lugar de trabajo. El libro es de interés para investigadores, educadores matemáticos, formadores de docentes, administradores educativos, redactores de polÃticas, desarrolladores de planes de estudios, desarrolladores profesionales, docentes en servicio y futuros docentes, incluidos aquellos interesados ​​en la alfabetización matemática. Nota de contenido: Mathematical Modelling Education in West and East -- Computational thinking and mathematical modelling -- Global Understanding of Complex Systems Problems Can Start in Pre-College Education -- Theorizing 'Modelling as Bridge' Between Content and Vehicle -- Globalization of Cultural Mathematical Practices through Ethnomodelling -- Positive Deviance in the Pedagogical Action of Ethnomodelling -- Models-and-Modelling Perspective through the Eyes of Jean Piaget. Tipo de medio : Computadora Summary : This book documents ongoing research and theorizing in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people's everyday lives as well as sophisticated new problems for society at large. Mathematical tradition in China that emphasizes algorithm and computation has now seen a renaissance in mathematical modelling and applications where China has made significant progress with its economy, science and technology. In recent decades, teaching and learning of mathematical modelling as well as contests in mathematical modelling have been flourishing at different levels of education in China. Today, teachers and researchers in China become keener to learn from their colleagues from Western countries and other parts of the world in research and teaching of mathematical modelling and applications. Thebook provides a dialogue and communication between colleagues from across the globe with new impetus and resources for mathematical modelling education and its research in both West and East with new ideas on modelling teaching and practices, inside and outside classrooms. All authors of this book are members of the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), the peak research body into researching the teaching, assessing and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. The book is of interest to researchers, mathematics educators, teacher educators, education administrators, policy writers, curriculum developers, professional developers, in-service teachers and pre-service teachers including those interested in mathematical literacy. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...] Mathematical Modelling Education in East and West [documento electrónico] / Leung, Frederick Koon Shing, ; Stillman, Gloria Ann, ; Kaiser, Gabriele, ; Wong, Ka Lok, . - 1 ed. . - [s.l.] : Springer, 2021 . - XVII, 658 p. 145 ilustraciones, 64 ilustraciones en color.
ISBN : 978-3-030-66996-6
Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos.
Idioma : Inglés (eng)
Palabras clave: Matemáticas Educación internacional Educación comparada Docente Educación Matemática Educación internacional y comparada Enseñanza y formación docente Clasificación: 510.71 Resumen: Este libro documenta investigaciones y teorizaciones en curso en el subcampo de la educación matemática dedicado a la enseñanza y el aprendizaje de modelos y aplicaciones matemáticas. Los modelos matemáticos proporcionan una forma de concebir y resolver problemas en la vida cotidiana de las personas, asà como nuevos problemas sofisticados para la sociedad en general. La tradición matemática en China que enfatiza los algoritmos y la computación ha visto ahora un renacimiento en los modelos y aplicaciones matemáticas, donde China ha logrado avances significativos en su economÃa, ciencia y tecnologÃa. En las últimas décadas, la enseñanza y el aprendizaje de modelos matemáticos, asà como los concursos de modelos matemáticos, han florecido en diferentes niveles de educación en China. Hoy en dÃa, los profesores e investigadores en China están cada vez más interesados ​​en aprender de sus colegas de los paÃses occidentales y de otras partes del mundo en la investigación y la enseñanza de modelos y aplicaciones matemáticas. El libro proporciona un diálogo y comunicación entre colegas de todo el mundo con nuevos impulsos y recursos para la educación en modelos matemáticos y su investigación tanto en Occidente como en Oriente con nuevas ideas sobre la enseñanza y las prácticas de modelado, dentro y fuera de las aulas. Todos los autores de este libro son miembros de la Comunidad Internacional de Profesores de Modelado y Aplicaciones Matemáticas (ICTMA), el principal organismo de investigación dedicado a la enseñanza, la evaluación y el aprendizaje de la modelización matemática en todos los niveles de la educación, desde los primeros años hasta la educación terciaria. asà como en el lugar de trabajo. El libro es de interés para investigadores, educadores matemáticos, formadores de docentes, administradores educativos, redactores de polÃticas, desarrolladores de planes de estudios, desarrolladores profesionales, docentes en servicio y futuros docentes, incluidos aquellos interesados ​​en la alfabetización matemática. Nota de contenido: Mathematical Modelling Education in West and East -- Computational thinking and mathematical modelling -- Global Understanding of Complex Systems Problems Can Start in Pre-College Education -- Theorizing 'Modelling as Bridge' Between Content and Vehicle -- Globalization of Cultural Mathematical Practices through Ethnomodelling -- Positive Deviance in the Pedagogical Action of Ethnomodelling -- Models-and-Modelling Perspective through the Eyes of Jean Piaget. Tipo de medio : Computadora Summary : This book documents ongoing research and theorizing in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people's everyday lives as well as sophisticated new problems for society at large. Mathematical tradition in China that emphasizes algorithm and computation has now seen a renaissance in mathematical modelling and applications where China has made significant progress with its economy, science and technology. In recent decades, teaching and learning of mathematical modelling as well as contests in mathematical modelling have been flourishing at different levels of education in China. Today, teachers and researchers in China become keener to learn from their colleagues from Western countries and other parts of the world in research and teaching of mathematical modelling and applications. Thebook provides a dialogue and communication between colleagues from across the globe with new impetus and resources for mathematical modelling education and its research in both West and East with new ideas on modelling teaching and practices, inside and outside classrooms. All authors of this book are members of the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), the peak research body into researching the teaching, assessing and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. The book is of interest to researchers, mathematics educators, teacher educators, education administrators, policy writers, curriculum developers, professional developers, in-service teachers and pre-service teachers including those interested in mathematical literacy. Enlace de acceso : https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]