Mathematical Modelling From A Cognitive Perspective

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Mathematical Modelling From A Cognitive Perspective

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Author : Stanislaw Schukajlow
language : en
Publisher: Taylor & Francis
Release Date : 2025-05-16

Mathematical Modelling From A Cognitive Perspective written by Stanislaw Schukajlow and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-16 with Education categories.

This edited volume provides readers with a snapshot of some of the current thinking on mathematical modelling education. It focuses on the relationship between cognitive and metacognitive activities and student approaches to attempting to solve real-world modelling problems. This book presents a focused review of some current thinking and research on mathematical modelling education focusing on the relationship between cognitive and metacognitive activities and secondary student approaches to attempting to solve real-world modelling problems. The results of the review highlight areas where theoretical constructs are well advanced and point to areas where development and empirical confirmation are required. Four empirical studies showcase both qualitative and quantitative studies, providing recent findings resulting from a cognitive analysis of student modelling activity in classroom settings or under test conditions. Solving of data-rich modelling tasks, using strategic knowledge about drawing during modelling activities, connecting metacognitive individual strategies, metacognitive group strategies and modelling competencies, and the activation and nurturing of students’ mathematical thinking during the solution of a design problem are considered. The book will be of interest to researchers, teachers and teacher educators and curriculum and educational policy writers. It was originally published as a special issue of Mathematical Thinking and Learning.

Trends In Teaching And Learning Of Mathematical Modelling

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Author : Gabriele Kaiser
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-23

Trends In Teaching And Learning Of Mathematical Modelling written by Gabriele Kaiser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-23 with Education categories.

This book contains suggestions for and reflections on the teaching, learning and assessing of mathematical modelling and applications in a rapidly changing world, including teaching and learning environments. It addresses all levels of education from universities and technical colleges to secondary and primary schools. Sponsored by the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), it reflects recent ideas and methods contributed by specialists from 30 countries in Africa, the Americas, Asia, Australia and Europe. Inspired by contributions to the Fourteenth Conference on the Teaching of Mathematical Modelling and Applications (ICTMA14) in Hamburg, 2009, the book describes the latest trends in the teaching and learning of mathematical modelling at school and university including teacher education. The broad and versatile range of topics will stress the international state-of-the-art on the following issues: Theoretical reflections on the teaching and learning of modelling Modelling competencies Cognitive perspectives on modelling Modelling examples for all educational levels Practice of modelling in school and at university level Practices in Engineering and Applications

Mathematical Modelling In Education Research And Practice

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Author : Gloria Ann Stillman
language : en
Publisher: Springer
Release Date : 2016-10-15

Mathematical Modelling In Education Research And Practice written by Gloria Ann Stillman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-15 with Education categories.

In this volume cultural, social and cognitive influences on the research and teaching of mathematical modelling are explored from a variety of theoretical and practical perspectives. The authors of the current volume are all members of the International Community of Teachers of Mathematical Modelling and Applications, the peak research body in this field. A distinctive feature of this volume is the high number of authors from South American countries. These authors bring quite a different perspective to modelling than has been showcased in previous books in this series, in particular from a cultural point of view. As well as recent international research, there is a strong emphasis on pedagogical issues including those associated with technology and assessment, in the teaching and learning of modelling. Applications at various levels of education are exemplified. The contributions reflect common issues shared globally and represent emergent or on-going challenges.

Learning How To Teach Mathematical Modeling In School And Teacher Education

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Author : Rita Borromeo Ferri
language : en
Publisher: Springer
Release Date : 2018-09-09

Learning How To Teach Mathematical Modeling In School And Teacher Education written by Rita Borromeo Ferri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-09 with Education categories.

This timely resource fills a gap in existing literature on mathematical modeling by presenting both theory- and evidence-based ideas for its teaching and learning. The book outlines four key professional competencies that must be developed in order to effectively and appropriately teach mathematical modeling, and in so doing it seeks to reduce the discrepancies between educational policy and educational research versus everyday teaching practice. Among the key competencies covered are: Theoretical competency for practical work. Task competency for instructional flexibility. Instructional competency for effective and quality lessons. Diagnostic competency for assessment and grading. Learning How to Teach Mathematical Modeling in School and Teacher Education is relevant to practicing and future mathematics teachers at all levels, as well as teacher educators, mathematics education researchers, and undergraduate and graduate mathematics students interested in research based methods for teaching mathematical modeling.

Information Technologies And Mathematical Modelling Queueing Theory And Applications

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Author : Alexander Dudin
language : en
Publisher: Springer Nature
Release Date : 2021-03-26

Information Technologies And Mathematical Modelling Queueing Theory And Applications written by Alexander Dudin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-26 with Computers categories.

This book constitutes revised selected papers of the 19th International Conference on Information Technologies and Mathematical Modelling, ITMM 2020, named after A.F. Terpugov, held in Tomsk, Russia, in December 2020. The 31 full papers presented in this volume were carefully reviewed and selected from 82 submissions. The conference covers various aspects of information technologies, focusing on queueing theory, stochastic processes, Markov processes, renewal theory, network performance equation and network protocols.

Learning How To Teach Mathematical Modeling In School And Teacher Education

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Author : Rita Borromeo Ferri
language : en
Publisher: Springer
Release Date : 2017-11-26

Learning How To Teach Mathematical Modeling In School And Teacher Education written by Rita Borromeo Ferri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-26 with Education categories.

This timely resource fills a gap in existing literature on mathematical modeling by presenting both theory- and evidence-based ideas for its teaching and learning. The book outlines four key professional competencies that must be developed in order to effectively and appropriately teach mathematical modeling, and in so doing it seeks to reduce the discrepancies between educational policy and educational research versus everyday teaching practice. Among the key competencies covered are: Theoretical competency for practical work. Task competency for instructional flexibility. Instructional competency for effective and quality lessons. Diagnostic competency for assessment and grading. Learning How to Teach Mathematical Modeling in School and Teacher Education is relevant to practicing and future mathematics teachers at all levels, as well as teacher educators, mathematics education researchers, and undergraduate and graduate mathematics students interested in research based methods for teaching mathematical modeling.

Mathematical Applications And Modelling

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Author : Berinderjeet Kaur
language : en
Publisher: World Scientific
Release Date : 2010

Mathematical Applications And Modelling written by Berinderjeet Kaur and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Education categories.

Mathematical Applications and Modelling is the second in the series of the yearbooks of the Association of Mathematics Educators in Singapore. The book is unique as it addresses a focused theme on mathematics education. The objective is to illustrate the diversity within the theme and present research that translates into classroom pedagogies.The book, comprising of 17 chapters, illuminates how application and modelling tasks may help develop the capacity of students to use mathematics in their present and future lives. Several renowned international researchers in the field of mathematical modelling have published their work in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers. The book is an invaluable contribution towards the emerging field of research in mathematical applications and modelling. It is a must-read for graduate research students and mathematics educators.

Modeling Students Mathematical Modeling Competencies

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Author : Richard Lesh
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-17

Modeling Students Mathematical Modeling Competencies written by Richard Lesh and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-17 with Education categories.

Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.

Mathematical Models Of Perception And Cognition Volume I

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Author : Joseph Houpt
language : en
Publisher: Psychology Press
Release Date : 2016-05-20

Mathematical Models Of Perception And Cognition Volume I written by Joseph Houpt and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-20 with Psychology categories.

In this two volume festschrift, contributors explore the theoretical developments (Volume I) and applications (Volume II) in traditional cognitive psychology domains, and model other areas of human performance that benefit from rigorous mathematical approaches. It brings together former classmates, students and colleagues of Dr. James T. Townsend, a pioneering researcher in the field since the early 1960s, to provide a current overview of mathematical modeling in psychology. Townsend’s research critically emphasized a need for rigor in the practice of cognitive modeling, and for providing mathematical definition and structure to ill-defined psychological topics. The research captured demonstrates how the interplay of theory and application, bridged by rigorous mathematics, can move cognitive modeling forward.

Advancing And Consolidating Mathematical Modelling

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Author : Gilbert Greefrath
language : en
Publisher: Springer Nature
Release Date : 2023-04-18

Advancing And Consolidating Mathematical Modelling written by Gilbert Greefrath and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-18 with Education categories.

This edited volume presents applications and modelling as a world-renowned sub-field of research in mathematics education. It includes the discussion on students’ development of modelling competency through the teaching of applications and modelling. The teaching of mathematical modelling is considered from different perspectives, such as mathematical, pedagogical-didactical perspectives and critical-societal or socio-political perspectives. Assessment practices (local, regional or international) of modelling activities and difficulties with modelling activities at school and university levels, respectively, are discussed. Use of technology and other resources in modelling activities and their impact on the modelling processes are included in the considerations. Teaching practices, teacher education and professional development programs concerning the integration of applications and modelling in school and university mathematics programs are developed in this context.