› › Measuring Professional Competence For The Teaching Of Mathematical Modelling

Measuring Professional Competence for the Teaching of Mathematical Modelling

Author : Raphael Wess

Publisher : Springer Nature

Page : 129 pages

File Size : 21,17 MB

Release : 2021-07-14

Category : Education

ISBN : 3030780716

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Book Description

This open access book presents a structural model and an associated test instrument designed to provide a detailed analysis of professional competences for teaching mathematical modelling. The conceptualisation is based on the COACTIV model, which describes aspects, areas and facets of professional competences of teachers. The manual provides an overview of the essential teaching skills in application-related contexts and offers the tools needed to capture these aspects. It discusses the objectives and application areas of the instrument, as well as the development of the test. In addition, it describes the implementation and evaluates the quality and results of the structural equation analysis of the model. Teaching mathematical modelling is a cognitively challenging activity for (prospective) teachers. Thus, teacher education requires a detailed analysis of professional competence for teaching mathematical modelling. Measuring this competence requires theoretical models that accurately describe requirements placed upon teachers, as well as appropriate evaluation tools that adequately capture skills and abilities in this field. This book presents an instrument that measures the professional competences in a sample of 349 prospective teachers.



Mathematical Modelling Education in East and West

Author : Frederick Koon Shing Leung

Publisher : Springer Nature

Page : 666 pages

File Size : 49,23 MB

Release : 2021-04-26

Category : Education

ISBN : 3030669963

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Book Description

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. The book 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.







Lines of Inquiry in Mathematical Modelling Research in Education

Author : Gloria Ann Stillman

Publisher : Springer

Page : 259 pages

File Size : 20,49 MB

Release : 2019-05-16

Category : Education

ISBN : 3030149315

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Book Description

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



Advancing and Consolidating Mathematical Modelling

Author : Gilbert Greefrath

Publisher : Springer Nature

Page : 347 pages

File Size : 12,90 MB

Release : 2023-04-18

Category : Education

ISBN : 3031271157

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Book Description

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.



Mathematical Modelling and Applications

Author : Gloria Ann Stillman

Publisher : Springer

Page : 620 pages

File Size : 48,10 MB

Release : 2017-11-05

Category : Education

ISBN : 3319629689

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Book Description

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.



Early Childhood Teachers‘ Professional Competence in Mathematics

Author : Simone Dunekacke

Publisher : Routledge

Page : 232 pages

File Size : 48,92 MB

Release : 2021-09-27

Category : Education

ISBN : 1000474054

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Book Description

This edited volume presents cutting-edge research on the professional competence of early childhood mathematics teachers. It considers professional knowledge, motivational-affective dispositions, skills and performance in early childhood mathematics and outlines future fields of research in this area. The book argues that it is essential for early childhood teachers to prepare a high-quality learning environment and that mathematical competence is highly relevant for children’s individual development. Bringing together research from mathematics education, educational science and psychology, it integrates international perspectives and considers the contextual factors that affect the development of children’s mathematical competence within Early Childhood Education and Care (ECEC) settings. The book uses a model to describe professional teacher competence that considers the dispositions of early childhood teachers, situation-specific skills of early childhood teachers and the performance of early childhood teachers. The book is the first of its kind to give a comprehensive overview and allows for integrative perspectives and interdisciplinary understanding regarding pre- and in-service ECEC teachers’ professional competence in the domain of mathematics. It will be essential reading for academics, researchers and students of early childhood education, mathematics education and teacher education.



Mathematical Modelling Education and Sense-making

Author : Gloria Ann Stillman

Publisher : Springer Nature

Page : 502 pages

File Size : 17,9 MB

Release : 2020-05-14

Category : Education

ISBN : 3030376737

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Book Description

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.



Diagnostic Competence of Mathematics Teachers

Author : Timo Leuders

Publisher : Springer

Page : 264 pages

File Size : 47,59 MB

Release : 2017-11-09

Category : Education

ISBN : 3319663275

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Book Description

This book examines the various areas of mathematics education and neighboring disciplines that have recently contributed to a better understanding of the still vague construct of diagnostic competence. The work addresses the nature, development and effect of diagnostic competence in mathematics instruction, with a focus on the professional development of teachers.