Rita Borromeo Ferri - Böcker

This open access book is the first major publication on the topic of “Interdisciplinary Mathematics Education” and arose from the work of the first International Topic Study Group of the same name at the ICME-13 conference in Hamburg in 2016.

This book provides an essential introduction to the state-of the-art in interdisciplinary Mathematics Education. First, it begins with an outline of the field’s relevant historical, conceptual and theoretical backgrounds, what “discipline” means and how inter-, trans-, and meta-disciplinary activities can be understood. Relevant theoretical perspectives from Marx, Foucault and Vygotsky are explained, along with key ideas in theory, e.g. boundaries, discourses, identity, and the division of labour in practice. Second, the book reviews research findings of mainly empirical studies on interdisciplinary work involving mathematics in education, in all stages of education that have become disciplined. For example, it reports that a common theme in studies in middle and high schools is assessing the motivational benefits for the learner of subsuming disciplinary motives and even practices to extra-academic problem-solving activities; this is counter-balanced by the effort needed to overcome the disciplinary boundaries in academic institutions, and in professional identities. These disciplinary boundaries are less obviously limitations in middle and primary schools, and in some vocational courses. Third and finally, it explores selected case studies that illustrate these concepts and findings, both in terms of the motivational benefits for learners and the institutional and other boundaries involved.

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.

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.

Dieses Buch soll sich inhaltlich mit theoretischen Fragen des mathematischen Modellierens, einigen wichtigen empirischen Ergebnissen zum Modellieren und Aspekten der Praxis des Modellierens in der Schule befassen.

Im vorliegenden Band wird verdeutlicht, welche Kompetenzen Lehrkräfte haben sollten, um Schülerinnen und Schülern im Unterricht mathematisches Modellieren zu vermitteln.

​Mathematikunterricht aus verschiedenen Perspektiven zu betrachten und wissenschaftlich zu untersuchen, erweitert die Sicht auf das Lernen und Lehren von Mathematik. In dem Buch werden vier große Bereiche beleuchtet, die insbesondere die jahrzehntelangen Forschungsfelder von Gabriele Kaiser kennzeichnen: mathematisches Modellieren, sprachliche und kulturelle Einflüsse auf das Mathematiklernen, Lehrerprofessionsforschung sowie Theoriebildung in der Mathematikdidaktik. Zu diesen Bereichen haben national und international ausgewiesene Expertinnen und Experten Beiträge geleistet, um Gabriele Kaiser aus Anlass ihres 60. Geburtstags zu ehren. Das Buch enthält aktuelle Ergebnisse empirischer Untersuchungen und theoretische Perspektiven in Bezug auf einzelne Aspekte des Wirkens der Jubilarin.

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 modellingModelling competenciesCognitive perspectives on modellingModelling examples for all educational levelsPractice of modelling in school and at university levelPractices in Engineering and Applications