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Modelling and Applications in Mathematics Education
Among the themes that have been central to mathematics education dur ing the last 30 years are those of mathematical modelling and applications of mathematics to extra-mathematical fields. More generally we refer to these as relations between mathematics and the extra-mathematical world (some times also called the "real world") or preferably, according to Henry PoUak, the "rest of the world". That applications and modelling have been important themes in mathematics education can be inferred from the wealth of litera ture on these topics, including material generated from a multitude of na tional and international conferences. In particular let us mention firstly the ICMEs (the International ...
Teaching and Learning Mathematical Modelling
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.
Lines of Inquiry in Mathematical Modelling Research in Education
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 ...
Comparison of Mathematics and Physics Education I
This volume, which is the output of a DAAD-funded collaboration between the University of Siegen and the Hanoi National University of Education, discusses and summarizes theoretical foundations of common grounds of mathematics and physics education. This interdisciplinary perspective enables especially teachers who have only been trained in one of these subjects to enrich their pedagogical content knowledge. The starting point is a description of characteristics of the disciplines and their historical genesis, followed by comparative studies. This edited volume brings together thirteen stimulating contributions on educational aspects of both disciplines written jointly by experienced researchers from Germany and Vietnam.
Internationalization of Education Policy
This book investigates and discusses the phenomenon of internationalization of education policy and its consequences for national policymaking processes. By comparing educational outcomes and actors' reactions in different countries, it provides detailed insights into a highly contested policy field.
Assessing Mathematical Literacy
This book describes the design, development, delivery and impact of the mathematics assessment for the OECD Programme for International Student Assessment (PISA). First, the origins of PISA’s concept of mathematical literacy are discussed, highlighting the underlying themes of mathematics as preparation for life after school and mathematical modelling of the real world, and clarifying PISA’s position within this part of the mathematics education territory. The PISA mathematics framework is introduced as a significant milestone in the development and dissemination of these ideas. The underlying mathematical competencies on which mathematical literacy so strongly depends are described, alo...
In Three Millenia
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