Welcome to the digital training on stochastics. This training is designed to familiarize you with the core content of stochastics and its didactics. It focuses mainly on imparting knowledge on how to meaningfully handle data and random events in mathematics.

In this training, you’ll learn the basics of stochastics by means of short video clips. All content is presented with a reference to everyday life and prepared for teaching. You can immediately integrate the ideas provided for implementation in your teaching.

## Training objective

With this training, we want to make this branch of mathematics fun and show how mathematics can be related to everyday life and how it is useful. Using different didactic suggestions, the training supports you in teaching stochastics so that the students can identify with the topics.

The content covers the following:

• The basics of statistics and probability. Based on simple examples that are easy to implement practically in the classroom, the training shows how precise mathematical terms can be developed from everyday experiences how these terms can be used in turn to better understand these experiences.
• General competencies such as properly preparing problems, solving problems, critical reasoning or ability to make reasoned judgments. The course thus contributes to the general goals of mathematics lessons in line with educational standards.

The importance of stochastics in mathematics lessons will continue to grow. This branch of mathematics in particular helps in understanding the world that changes all around us every day. Let’s take health as an example: An ability to handle statistics is essential for correctly interpreting incidences or appropriately assessing exponential growth. Both of these topics are also explicitly addressed during the training.

## Training structure

The training is structured in three difficulty levels that you can work on in succession: introduction, advanced, pro.

• Introduction: This block covers the basics of stochastics that result, for example, from systematic counting. The first mathematical terms are worked out using simple everyday examples. You’ll be surprised how gummy bears play a key role in this. No prior knowledge is needed for the introduction.
• Advanced: The second block emphasizes the systematic treatment of random events and the critical examination of data and statistics. The goal is to establish a basic vocabulary of key terms and to use it proficiently. You’ll also learn how you can use statistics for serious and less serious illustrations.
• Pro: The third block essentially ensures that you not only can describe stochastic phenomena, but can also assess their significance. Are you familiar with the Monty Hall problem? We’ll solve it together and see that even answers to simple questions can be quite complex.

All content is presented in short video clips.

## Required prior knowledge

Participation in the training does not require any prior technical or content-related knowledge. First and foremost, you should be open to new educational learning paths that enhance STEM lessons.

## Who is the training designed for?

The training is designed primarily for interested math teachers at secondary schools. In addition, educators of other subject groups or teachers at elementary schools are naturally welcome. The introduction in particular should be practically relevant to their teaching.

For students in higher grades, the training can also be used for the purpose of a flipped classroom.