Measuring Professional Competence for the Teaching of Mathematical Modelling
Measuring Professional Competence for the Teaching of Mathematical Modelling

Author: Raphael Wess

Publisher: Springer Nature

Published: 2021-07-14

Total Pages: 129

ISBN-13: 3030780716

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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
Mathematical Modelling Education in East and West

Author: Frederick Koon Shing Leung

Publisher: Springer Nature

Published: 2021-04-26

Total Pages: 666

ISBN-13: 3030669963

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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.

Mathematical Modelling and Applications
Mathematical Modelling and Applications

Author: Gloria Ann Stillman

Publisher: Springer

Published: 2017-11-05

Total Pages: 620

ISBN-13: 3319629689

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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.

Advancing and Consolidating Mathematical Modelling
Advancing and Consolidating Mathematical Modelling

Author: Gilbert Greefrath

Publisher: Springer Nature

Published: 2023-04-18

Total Pages: 347

ISBN-13: 3031271157

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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.

Competence Assessment in Education
Competence Assessment in Education

Author: Detlev Leutner

Publisher: Springer

Published: 2017-03-27

Total Pages: 491

ISBN-13: 3319500309

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This book addresses challenges in the theoretically and empirically adequate assessment of competencies in educational settings. It presents the scientific projects of the priority program “Competence Models for Assessing Individual Learning Outcomes and Evaluating Educational Processes,” which focused on competence assessment across disciplines in Germany. The six-year program coordinated 30 research projects involving experts from the fields of psychology, educational science, and subject-specific didactics. The main reference point for all projects is the concept of “competencies,” which are defined as “context-specific cognitive dispositions that are acquired and needed to successfully cope with certain situations or tasks in specific domains” (Koeppen et al., 2008, p. 62). The projects investigate different aspects of competence assessment: The primary focus lies on the development of cognitive models of competencies, complemented by the construction of psychometric models based on these theoretical models. In turn, the psychometric models constitute the basis for the construction of instruments for effectively measuring competencies. The assessment of competencies plays a key role in optimizing educational processes and improving the effectiveness of educational systems. This book contributes to this challenging endeavor by meeting the need for more integrative, interdisciplinary research on the structure, levels, and development of competencies.

Mathematical Modelling Education and Sense-making
Mathematical Modelling Education and Sense-making

Author: Gloria Ann Stillman

Publisher: Springer Nature

Published: 2020-05-14

Total Pages: 502

ISBN-13: 3030376737

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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
Diagnostic Competence of Mathematics Teachers

Author: Timo Leuders

Publisher: Springer

Published: 2017-11-09

Total Pages: 264

ISBN-13: 3319663275

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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.

Teaching and Learning Mathematical Modelling
Teaching and Learning Mathematical Modelling

Author: Gilbert Greefrath

Publisher: Springer

Published: 2016-08-20

Total Pages: 49

ISBN-13: 3319450042

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This survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various German universities have been established.

Trends in Teaching and Learning of Mathematical Modelling
Trends in Teaching and Learning of Mathematical Modelling

Author: Gabriele Kaiser

Publisher: Springer Science & Business Media

Published: 2011-06-23

Total Pages: 711

ISBN-13: 9400709102

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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