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Grundkurs Mathematikdidaktik


Grundkurs Mathematikdidaktik
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Grundkurs Mathematikdidaktik


Grundkurs Mathematikdidaktik
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Author : Hans-Dieter Sill
language : de
Publisher: UTB GmbH
Release Date : 2018-10-29

Grundkurs Mathematikdidaktik written by Hans-Dieter Sill and has been published by UTB GmbH this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-29 with Education categories.


Dieses Buch bietet Wesentliches für Studium, Praktikum und Referendariat. An vielen Beispielen werden lernpsychologische Grundlagen, die Aneignung von Begriffen und Ausbildung von Fertigkeiten sowie Problemlösefähigkeiten u. a. m. erläutert. Hinweise zu zentralen Problemen aller Entwicklungslinien sowie zur Unterrichtsgestaltung helfen beim Einstieg in die Praxis.



Grundkurs Mathematikdidaktik


Grundkurs Mathematikdidaktik
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Author : Friedrich Zech
language : de
Publisher:
Release Date : 1996

Grundkurs Mathematikdidaktik written by Friedrich Zech and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with didaktik categories.




Grundkurs Mathematikdidaktik


Grundkurs Mathematikdidaktik
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Author : Friedrich Zech
language : de
Publisher:
Release Date : 1986

Grundkurs Mathematikdidaktik written by Friedrich Zech and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Education categories.




Mathematical Modelling And Applications


Mathematical Modelling And Applications
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Author : Gloria Ann Stillman
language : en
Publisher: Springer
Release Date : 2017-11-05

Mathematical Modelling And Applications 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 2017-11-05 with Education categories.


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.



Teaching And Learning Mathematical Modelling


Teaching And Learning Mathematical Modelling
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Author : Gilbert Greefrath
language : en
Publisher: Springer
Release Date : 2016-08-20

Teaching And Learning Mathematical Modelling written by Gilbert Greefrath and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-20 with Education categories.


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.



Mathematical Modelling In Education Research And Practice


Mathematical Modelling In Education Research And Practice
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Author : Gloria Ann Stillman
language : en
Publisher: Springer
Release Date : 2015-07-20

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 2015-07-20 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.



Mathematical Modelling Education And Sense Making


Mathematical Modelling Education And Sense Making
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Author : Gloria Ann Stillman
language : en
Publisher: Springer Nature
Release Date : 2020-05-14

Mathematical Modelling Education And Sense Making written by Gloria Ann Stillman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-14 with Education categories.


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.



Lines Of Inquiry In Mathematical Modelling Research In Education


Lines Of Inquiry In Mathematical Modelling Research In Education
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Author : Gloria Ann Stillman
language : en
Publisher: Springer
Release Date : 2019-05-16

Lines Of Inquiry In Mathematical Modelling Research In Education 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 2019-05-16 with Education categories.


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



Transforming Mathematics Instruction


Transforming Mathematics Instruction
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Author : Yeping Li
language : en
Publisher: Springer
Release Date : 2014-07-05

Transforming Mathematics Instruction written by Yeping Li and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-05 with Education categories.


This book surveys and examines different approaches and practices that contribute to the changes in mathematics instruction, including (1) innovative approaches that bring direct changes in classroom instructional practices, (2) curriculum reforms that introduce changes in content and requirements in classroom instruction, and (3) approaches in mathematics teacher education that aim to improve teachers’ expertise and practices. It also surveys relevant theory and methodology development in studying and assessing mathematics instruction. Classroom instruction is commonly seen as one of the key factors contributing to students’ learning of mathematics, but much remains to be understood about teachers’ instructional practices that lead to the development and enactment of effective classroom instruction, and approaches and practices developed and used to transform classroom instruction in different education systems. Transforming Mathematics Instruction is organized to help readers learn not only from reading individual chapters, but also from reading across chapters and sections to explore broader themes, including: - Identifying what is important in mathematics for teaching and learning emphasized in different approaches; - Exploring how students’ learning is considered and facilitated through different approaches and practices; - Understanding the nature of various approaches that are valued in different systems and cultural contexts; - Probing culturally valued approaches in identifying and evaluating effective instructional practices. The book brings new research and insights into multiple approaches and practices for transforming mathematics instruction to the international community of mathematics education, with 25 chapters and four section prefaces contributed by 56 scholars from 10 different education systems. This rich collection is indispensable reading for mathematics educators, researchers, teacher educators, curriculum developers, and graduate students interested in learning about different instructional practices, approaches for instructional transformation, and research in different education systems. It will help readers to reflect on approaches and practices that are useful for instructional changes in their own education systems, and also inspire them to identify and further explore new areas of research and program development in improving mathematics teaching and learning.



Pedagogically Founded Courseware Generation For Web Based Learning


Pedagogically Founded Courseware Generation For Web Based Learning
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Author : Carsten Ullrich
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-09-29

Pedagogically Founded Courseware Generation For Web Based Learning written by Carsten Ullrich 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 2008-09-29 with Computers categories.


Automatic course generation is a very important area of research with numerous practical applications in e-learning. It has been studied since the 1980s within the fields of intelligent tutoring, AI and education, adaptive hypermedia and web-based educational systems. Many approaches have been proposed, but hardly any have resulted in generic and practically applied systems. A number of problems have remained unresolved. These problems are addressed by this work. This book focuses on course generation based on Hierarchical Task Network planning (HTN planning). This course generation framework enables the formalization and application of complex and realistic pedagogical knowledge. The volume describes basic techniques for course generation, which are used to formalize seven different types of courses (for instance, introducing the learner to previously unknown concepts and supporting the learner during rehearsal) and several elementary learning goals (e.g., selecting an appropriate example or exercise). This framework has been implemented and evaluated with good results in several domains, with users from different countries and universities, in the context of an EU project. Course generation based on HTN planning is implemented in PAIGOS and has been evaluated by technical, formative and summative evaluations.