Mathematical mind map is a graphical tool, which helps to sort out and show the structure and relationship of mathematical knowledge. For first-year students, mathematical mind map can help them sort out the context of mathematical concepts and methods and improve their learning effect.

The following are some steps and methods to help first-year students draw a good mathematical mind map:

1. Define the central theme:

First, determine the central theme of the mind map. For example, you can choose "mathematics" as the central theme.

2. List branch topics:

Around the central theme, various branch topics related to mathematics are listed. For example, under the branch topic, you can list "addition", "subtraction", "shape", "sorting" and so on.

3. Add a sub-topic:

Under each branch topic, add sub-topics related to it. Taking "addition" as an example, subtopics such as "addition of numbers" and "addition with objects" can be added.

4. Connect topics and sub-topics:

Use arrows or straight lines to connect topics and subtopics to show the relationship between them. Arrow pointing indicates derivation or association from one topic to another.

5. Add keywords and icons:

Under each topic and subtopic, add keywords and illustrations. Keywords can be the names of mathematical concepts, and charts can be corresponding pictures, symbols or schematic diagrams. This is helpful for students to understand and remember the mathematical content intuitively.

6. Use colors and lines:

Use different colors and lines to highlight different themes or key points. For example, you can use pens or highlighters with different colors to mark keywords and important content.

7. Review and supplement:

Review and update the mathematical mind map regularly to reflect the learning progress and new concepts. With the deepening of learning, more branches and sub-topics can be added.

In the process of drawing mathematical mind map, students can freely exert their creativity and customize according to their own understanding and needs. The purpose of mathematical mind map is to help students sort out their thinking and knowledge structure, and to promote students' exploration and understanding in the field of mathematics.

In the process of using mind map, students can also try to record their own thoughts and discoveries in order to deepen their understanding and memory of mathematical knowledge.