Mathematics and Its Connections to the Arts and Sciences (MACAS)

Mathematics and Its Connections to the Arts and Sciences (MACAS)
Author: Claus Michelsen
Publisher: Springer Nature
Total Pages: 560
Release: 2022-12-19
Genre: Education
ISBN: 3031105184

This book celebrates the 15th anniversary of the bi-annual symposium series Mathematics and its Connections to the Arts and Sciences (MACAS), which was first held in 2005 following the continued collaboration of an international group of researchers from ICME Topic Study Group 21. The MACAS-conferences bring together scientists and educators who are interested in the connection between mathematics, arts and science in educational curriculum, while emphasizing on, as well as researching about, the role of mathematics. By pooling together these different approaches and viewpoints between mathematics, arts and sciences, this book reveals possible synergies and paths for collaborations. In view of the challenges of the 21st century, a modern approach to education with a focus on multi- and interdisciplinarity is more important than ever. The role of mathematics assumes a key role in this approach as it is connected to all other disciplines, such as STEM education, physics, chemistry, biology, aesthetics and language, and can serve as a bridge between them. This book discusses, amongst others, the curricular approaches to integrate mathematics and other disciplines, the importance of mathematical modelling and the interdisciplinarity ways for learning and studying of mathematics, as well as the intercultural dimensions of mathematics and mathematics in the digital era. All topics will be presented from very different perspectives and regarding very different contexts, including digitization, culture and sustainability. This unique collection will serve as a very valuable and compact source for all above mentioned scientists and educators, as well as for use in advanced teacher education courses.

Approaches to Qualitative Research in Mathematics Education

Approaches to Qualitative Research in Mathematics Education
Author: Angelika Bikner-Ahsbahs
Publisher: Springer
Total Pages: 587
Release: 2014-11-26
Genre: Education
ISBN: 9401791813

This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics education and beyond. The structure of the book allows the reader to use it as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.

Theorizing and Measuring Affect in Mathematics Teaching and Learning

Theorizing and Measuring Affect in Mathematics Teaching and Learning
Author: Chiara Andrà
Publisher: Springer Nature
Total Pages: 262
Release: 2021-01-23
Genre: Education
ISBN: 303050526X

This book presents a literature review of and a state-of-the-art glimpse into current research on affect-related aspects of teaching and learning in and beyond mathematics classrooms. Then, research presented at the MAVI 25 Conference, which took place in Intra (Italy) in June 2019, is grouped in thematic strands that capture cutting-edge issues related to affective components of learning and teaching mathematics. The concluding chapter summarises the main messages and sketches future directions for research on affect in mathematics education. The book is intended for researchers in mathematics education and especially graduate students and PhD candidates who are interested in emotions, attitudes, motivations, beliefs, needs and values in mathematics education.

Hidden Dimensions in the Professional Development of Mathematics Teachers: In-Service Education for and With Teachers

Hidden Dimensions in the Professional Development of Mathematics Teachers: In-Service Education for and With Teachers
Author: B. Roesken
Publisher: Springer Science & Business Media
Total Pages: 169
Release: 2011-07-23
Genre: Education
ISBN: 9460914330

Professional development is often determined by black and white thinking. Either issues are considered as being good or bad, or statements like teachers should or teachers must are transported. However, it is easily forgotten from which perspective the judgment is taken, surely it is not the teacher’s one. Profoundly respecting and cherishing the teachers and their needs, allows for arriving at a vision of professional development that is for and with teachers, instead being simply about them. This book presents the field of mathematics teacher professional development both from a theoretical and an empirical perspective. In particular, the initiative Mathematics Done Differently that has been run in Germany is presented, in whose context the data of the empirical study was gathered. The empirical findings led to postulating a model describing teachers’ individual growth pathways and to providing implications for constructing practices that are based on what teachers really need.

Nonstandard Analysis

Nonstandard Analysis
Author: Karl Kuhlemann
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 293
Release: 2024-12-16
Genre: Mathematics
ISBN: 3111430537

Currently, nonstandard analysis is barely considered in university teaching. The author argues that nonstandard analysis is valuable not only for teaching, but also for understanding standard analysis and mathematics itself. An axiomatic approach wich pays attention to different language levels (for example, in the distinction between sums of ones and the natural numbers of the theory) leads naturally to a nonstandard theory. For motivation historical ideas of Leibniz can be taken up. The book contains an elaborated concept that follows this approach and is suitable, for example, as a basis for a lecture-supplementary course. The monograph part presents all major approaches to nonstandard analysis and discusses logical, model-theoretic, and set-theoretic investigations to reveal possible mathematical reasons that may lead to reservations about nonstandard analysis. Also various foundational positions as well as ontological, epistemological, and application-related issues are addressed. It turns out that the one-sided preference for standard analysis is justified neither from a didactic, mathematical nor philosophical point of view. Thus, the book is especially valuable for students and instructors of analysis who are also interested in the foundations of their subject.

Mathematical Modelling in Education and Culture

Mathematical Modelling in Education and Culture
Author: Q-X Ye
Publisher: Elsevier
Total Pages: 343
Release: 2003-05-01
Genre: Mathematics
ISBN: 0857099558

The mathematical modelling movement in mathematics education at school and university level has been influencing curricula for about 25 years. Lecturers will find material to enhance their teaching and extracurricular activities and educators will find innovative ideas to inform their course design and focus their research, while students will find interesting problems to explore. - Helps lecturers enhance their teaching and extracurricular activities - Provides educators with innovative ideas to inform their course design and focus their research - Students will find interesting problems to explore