What are primary focus of mathematics as described in the passage below? Mathematics education as a scientific discipline is considered here in a rather broad view as the study of how people learn and do mathematics of any kind, and of how this learning and doing can be influenced and fostered among others by teaching, by the use of media, by different representations, or by the social organisation of mathematical activity. Thus, the object of mathematics education clearly is a certain area of hu- man activities whose content, object and goal is mathematics at different levels and in different forms … the role (professional) mathematicians currently take in relation to mathematics education … they themselves consider as their main task to develop mathematical theories and/or to apply them in various contexts. This should/could give a reason for mathematics education to investigate the mathematical activity of mathematicians, its conditions, forms, means, goals, intentions, etc.

1. **Understanding how people learn and do mathematics**: Mathematics education focuses on studying the processes through which individuals acquire mathematical knowledge and skills. This involves exploring various learning strategies, cognitive processes, and effective teaching methods.

2. **Influencing and fostering mathematical learning**: Mathematics education seeks to understand how teaching practices, the use of different media and representations, and the social organization of mathematical activities can enhance learning outcomes. It aims to foster a conducive environment for learning mathematics at different levels and in diverse forms.

3. **Investigating mathematical activity**: Mathematics education investigates the nature of mathematical activity itself. This includes studying the conditions, forms, means, goals, intentions, and contexts in which mathematics is practiced and applied. This broader investigation helps in shaping educational practices and curriculum development.

In summary, mathematics education as a scientific discipline focuses on understanding how mathematics is learned and practiced, enhancing learning through effective teaching and diverse methodologies, and investigating the nature and application of mathematical activity across various contexts and levels.