**Organizer: **

Prof. Dr. Hans-Georg Weigand, Lehrstuhl für Didaktik der Mathematik, Universität Würzburg

Email: weigand[at]mathematik.uni-wuerzburg.de

Prof. Bill Barton, Department of Mathematics, The University of Auckland, New Zealand, email: b.barton[at]auckland.ac.nz

**Local Organizer**

IMU Secretariat, Prof. Dr. rer. nat. Alexander Mielke, Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany, Email: alexander.mielke[at]wias-berlin.de

**Dates of the workshop:**

17.-20.09.2013

**Location of the workshop:**

International Mathematical Union (IMU) Secretariat, Markgrafenstr. 32, 10117 Berlin, Germany

**Support**

The workshop is supported by the German Research Foundation, DFG and the IMU Secretariat/ WIAS.

**Participants:** The workshop had 27 participants from 10 countries. More than 30% of the participants were from outside Germany.

**Secondary Teacher Training Day**

As part of the Workshop a secondary teacher training (public day) had been held on Thursday, September 19, 2013 from 14:00-18:00 at the Humboldt University Berlin from Mathematics teachers from Berlin and the region.

More information about the teacher training day can be found here.

**Klein Workshop Background:**

The workshop “Elementary Mathematics from an Advanced Standpoint - Felix Klein and Mathematics for Teachers” is part of the Klein Project, a major project of the International Mathematical Union (IMU) and the International Commission on Mathematical Instruction (ICMI). It aims to link research mathematics with school mathematics in the spirit of the famous book by Felix Klein’s “*Elementary Mathematics from an Advanced Standpoint*” which was published in 1908. Since then mathematics has grown exponentially, changed under the influence of computers and new fields and applications, adopted new approaches, and developed new concepts.

The Klein Project represents a new research domain—one that is of vital importance to the world-wide effort to increase the numbers and standard of mathematically educated graduates in all areas of society.

The new domain draws together research mathematicians, mathematics educators, and secondary teachers to establish a new understanding of the relationship between research mathematics and school mathematics, and the communication of contemporary research ideas to those outside the academic environment.

How can fundamental contemporary ideas in research mathematics get related to the mathematical foundation required in today’s world? How has research mathematics been guided by contemporary social interests, how might that happen in the future, and is this a good thing? What influence do contemporary trends in the discipline of mathematics have on current secondary curricula, and what influence should it have? How can teachers’ mathematical knowledge be kept up to date in a world of accelerating growth in the mathematical sciences? What forms of communication between researchers and teachers are optimal?

Questions such as these will be considered by participants and progress made on understanding and answering them through Invited Lectures and Research Workshops.

**Workshop Objectives included:**

- Bringing together mathematicians, mathematics educators and mathematics teachers to discuss the opportunities and barriers to enrich teacher education and mathematics classrooms with contemporary mathematics, and to imbue higher levels of education with the spirit of contemporary mathematics.

- To discuss and evaluate the existing Klein Vignettes and to research, develop, and produce further Klein vignettes from the expertise of research mathematicians, mathematics educators and mathematics high school teachers.

- To discuss and evaluate the existing articles of the “Klein Book” and to develop, and produce further articles of the book

- To discuss evaluation criteria for the benefit of the Klein Vignettes in teacher education and professional development.

Results of the Workshop will be disseminated through the Blog and Klein website, as well as at all major international conferences in mathematics education. In particular, it will be a feature of the next ICME conference in Hamburg in 2016.

**List of speakers and their topics**

Bill Barton: The Klein-project – An introduction

Hans-Georg Weigand: Felix Klein and his work – A short introduction to the life and the work of Felix Klein

Bill McCallum: Construction of the Klein-blog: blog.kleinproject.org

Christiane Rousseau: Developing Klein-vignettes – The ideas behind the vignettes

Michele Artique: The development of the Klein-Project in France

Ferdinando Arzarello:The development of the Klein-Project in Italy

Yuriko Baldin: The development of the Klein-Project in Brazil

Tomas Recio: The development of the Klein-Project in Spain

Jürgen Richter-Gebert & Ulrich Kortenkamp: The dynamics in the vignettes – Cinderella as a tool for creating interactive vignettes.

Daniel Lordick: The Digital Archive of Mathematical Models (DAMM) and the Klein-project

Bettina Rösken-Winter: Relating ideas of the DZLM to the Klein-Project

Regina Bruder: Problem solving – a never ending story

Reinhard Oldenburg: Computer science and the Klein-project

Henning Körner: The – possible – influence of the Klein-project to second phase of teacher education.

Thilo Steinkrauß: The project “The other side of mathematics” (“Mathematik anders machen”) and the Klein-project

Jörg Meyer: Curves and their nowadays meaning.