Mathematics Trails and Beyond

Honoring the Vision of Matthias Ludwig
Erscheinungsjahr 2027
ISBN: 978-3-032-33289-9
Verlag: Springer Nature Switzerland AG

Buch, Englisch, 471 Seiten, Format (B × H): 155 mm x 235 mm

Reihe: Research in Mathematics Education

This contributed volume presents a collection of essays honoring Matthias Ludwig and his contributions to the field of mathematics education. He is particularly renowned for his pioneering work on making connections between mathematics and reality tangible and accessible, both inside and outside the classroom. His academic expertise encompasses the areas of “Modelling and Applications”, “Diagnosis and Support”, “Education and Technology”, and “Math Trails and Outdoor Education”. The chapters in this book, written by experts in these fields, are organized into four corresponding parts.

This insightful book comprises many ideas, concepts, and approaches, showcasing Matthias Ludwig’s vision for active, learner-centered, and hands-on mathematics education. Therefore, it is of interest to scholars, researchers, and all readers with an interest in contemporary mathematics education.

Zielgruppe

Research

Autoren/Hrsg.

Barlovits, Simon

Jablonski, Simone

Zender, Joerg

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein
• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik

Inhaltsverzeichnis

Designing for Content Integration: Using Fermi Problems to Foster Mathematical and Interdisciplinary STEAM Learning.- Classifying Mathematical Modelling Tasks in the Context of Sustainability: The dim²ension Task Framework.- Mathematical Modelling for a Sustainable Future: Raising Awareness Through Mathematical Education.- The MiRA Teaching-Learning Labs for Mathematical Modelling.- Bridging Parabolas and Catenary Curves.- Portfolio Projects on Mathematical Modelling with Digital Tools: Advantages and Challenges from the Students’ Perspective.- Mathematical Modelling with Pineapple and Tennis Racket: A Replication Study.- Authenticity in Modelling Test Items: A Single Case Study based on an Expert Interview.- Modelling Projects: In and Outside School.- How to Count Black-and-Rufous Elephant-Shrews: Estimating Population Abundance using School Mathematics.- King Ludwig and the Regular Octagon.- Mathe.Forscher: From Five Dimensions to Best Practice.- Turning Inward: Latent Structure and External Criteria as Complementary Perspectives on Screening Validity.- Focusing on the Spectrum of Mathematical Abilities: Diagnosing and Supporting Mathematical Learning Difficulties and Giftedness.- Content Knowledge of Prospective Teachers: An Empirical Study on the Development of Basic Competencies in Statistics and Probability.- Designing Mathematics Manipulatives through Digital Making: Insights from Pre-Service Teacher Education.- Mobile Learning in Mathematics Education: Orchestrating the Use of Four Exemplary Apps.- The Integration of Computational Thinking in the Teaching of Mathematics.- Innovating Project Work in Modern Maths Education: Investigating Pre-Service Teachers Projects Using 3D-Printing to Innovate Physical Manipulatives.- On the Development of Digital Learning Applications in Mathematics: Experiences from a Developer's Perspective.- Modelling in Outdoor Mathematics by Combining MathCityMap and GeoGebra Discovery: A Proposal.- Beyond Measurement Errors: An Analysis of Mathematical Errors in Mathematics Trails and Implications for Teacher Interventions.- MathCityMap in the Indonesian Context: Implementation, Adaptation, and Global Contribution.- Repositioning Mathematics Learning: Experience, Context, and the World Beyond the Classroom.- Mobile Math Trails with GeoGebra: New Opportunities for Problem-Solving.- Exploring Challenges of Doing Mathematics Trails in a Namibian Rural Context: The Case of the MathCityMap System.- Perceptions of Pre-Service Mathematics Teachers about MathCityMap Trails based on Reflections of their Experience.- Hinting the Trail: Crafting Effective Hints for Outdoor Mathematics Tasks.- The Creation of Tasks by Pre-Service Teachers with MathCityMap.- Constructing Outdoor Mathematics: A Constructive Alignment Approach for Pre-Service Teachers’ Education.

Über Autor(innen)

Simon Barlovits is a researcher in mathematics education, working at Goethe University Frankfurt. He worked on his doctorate on the technological support of mathematics trails through mobile learning. Beyond the fields of outdoor mathematics education and the use of digital tools in mathematics education, his research interests also include mathematical modelling, particularly in the context of sustainability.

Simone Jablonski is an assistant professor of mathematics education at University of Paderborn. Prior to this position, she worked as a researcher at Goethe University Frankfurt, where she completed her doctorate on mathematical giftedness. Her research interests include mathematical modelling and reasoning, particularly in the contexts of outdoor mathematics and Fermi problems, as well as the use of digital tools in mathematics education.

Joerg Zender is a postdoctoral researcher at the University of Cologne, where he works on mathematics education. He completed his doctorate on mathematics trails and has taught and researched in several German cities, including Frankfurt, Koblenz, and Wiesbaden. In addition to his university work, he continues to teach mathematics at school level. His interests include outdoor mathematics, problem solving, assessment, and the popularization of mathematics.