On Wednesday, March 1, 2023, a teacher training course on the above topic will take place at the Institute of Mathematics at Clausthal University of Technology, Erzstraße 1, from 9.30 a.m. to 4.15 p.m., in cooperation with the Competence Center for Teacher Training Braunschweig (KLBS), to which we cordially invite you. The cost of participation is 25 euros per participant and will be charged via the KLBS.

Registration is possible at http://vedab.nibis.de possible. Direct link:

https://vedab.de/veranstaltungsdetails.php?vid=135750

Contents

In the advanced training course on promoting giftedness in mathematics, there will be three specialist presentations on possibilities for promoting giftedness in schools as well as on student competitions and current topics from research by experts followed by a discussion:

StD i.R. Karl Fegert:
Possibilities for promoting giftedness in mathematics in and alongside curriculum-oriented lessons at grammar schools

Mathematics lessons at grammar schools are caught between different levels of difficulty. This area of tension is described and possibilities are shown as to how the needs of gifted and interested pupils can be met in and alongside lessons.

Personal details: Karl Fegert, retired teacher, taught mathematics and sport at Lessinggymnsium Ulm for 40 years. He has been involved in the national mathematics competition since 1983 and has been chairman of the correction committee since 2000. He also helps to organize the state mathematics competition in Bavaria and has experience in coordinating the correction at the German Mathematics Olympiad and at a total of four international
Mathematics Olympiads.

PD Dr. Bernd Mulansky
Extracurricular support for gifted students in mathematics: The nationwide JuMa program

The JuMa program for gifted students is also offered as part of the nationwide mathematics competitions. The structure of the program is presented and examples from different class levels are used to illustrate the level of difficulty of the working materials and task series.

Personal details: Dr. Bernd Mulansky has been working at Clausthal University of Technology since 2002 after completing his doctorate and habilitation at the TU Dresden. A participant in the Mathematical Olympiads himself, he has been actively involved in promoting gifted students since leaving school.
Since 2007, he has been head of year 10/11 in the JuMa programme.

Prof. Dr. Dominic Breit
Stochastic integration, stochastic differential equations and regularization by noise

We begin with an informal introduction to stochastic integration, which was developed by the Japanese mathematician Kiyoshi Ito in the 1940s. This does not integrate with respect to infinitesimal changes in time (or place) but with respect to a stochastic process such as Brownian motion. This forms the basis of stochastic analysis and enables the investigation of stochastic differential equations. We explain a variant of the main theorem of differential and integral calculus from analysis, which can be shown for the stochastic differential. An additional correction term takes into account the irregularity of the paths of the Brownian motion. With the help of this correction term, a regularizing effect of random perturbations on ill-posed problems can be shown, i.e. the addition of a suitable stochastic noise term makes it possible to solve the equation. This is a well-known phenomenon for ordinary differential equations.
One of the biggest open problems in the analysis of partial differential equations is the solvability of the three-dimensional Navier-Stokes equations, which describe incompressible flows. The Clay Mathematical Institute in Cambridge, USA, has offered a prize of 1,000,000$ for the solution. Recently it was shown that a very cleverly chosen stochastic perturbation improves the well-posedness of these equations.

Program

9.30 - 9.45	Welcome
9.45 - 10.30	Possibilities for promoting gifted students in mathematics in and alongside curriculum-oriented lessons at grammar schools (Part 1), StD i.R. Karl Fegert
10.30 - 11.00	Coffee break
11.00 - 11.45	Possibilities for promoting gifted students in mathematics in and alongside curriculum-oriented lessons at grammar schools (Part 2), retired teacher Karl Fegert
11.45 - 13.15	Lunch
13.15 - 14.15	Extracurricular support for gifted students in mathematics: The nationwide JuMa program, PD Dr. Bernd Mulansky
14.15 - 14.45	Coffee break
14.45 - 15.45	Stochastic integration, stochastic differential equations and regularization by noise, Prof. Dr. Dominic Breit
15.45 - 16.15	Discussion and closing remarks