Mathematical activities can include various forms of thinking and activities, such as calculation, reasoning, proof, modeling, exploration, abstraction and so on. Among them, pure mathematical thinking activities refer to pure mathematical problems that do not involve external scenes (such as physics, chemistry and biology), and need to be solved by abstract, logical and reasoning thinking methods, which have nothing to do with the real world.
As far as mathematics education is concerned, pure mathematics thinking activity has its importance. This kind of activity can help students cultivate abstract thinking, logical reasoning and creativity, and explore their own potential. In addition, in pure mathematical thinking activities, it is often necessary to have the ability to discover, guess and prove, so students can be encouraged to actively explore and solve new or complex problems.
However, simple mathematical thinking activities sometimes make students feel boring, because such activities are often out of touch with students' daily life and production practice, and it is difficult to stimulate students' interest. Therefore, in mathematics teaching, we should skillfully combine pure mathematics problems with real life through appropriate teaching means and strategies to enhance the practicality, interest and attraction of teaching.
In a word, it is necessary to include pure mathematical thinking activities in mathematics activities, which can help students cultivate rigorous logical analysis ability and abstract thinking ability. At the same time, combining pure mathematics problems with real life problems can make students think and understand mathematics knowledge seriously and improve the practical effect of applying mathematics in various fields.
Mathematical thinking activities in life;
1. Baking food: Baking is an activity that needs accurate calculation. For example, dough composition ratio, temperature, time and other factors need to be accurately controlled, which involves budget knowledge such as unit conversion, proportional relationship and percentage.
2. Dinner checkout: Share all expenses after dinner with friends, calculate the amount that everyone should pay with basic mathematical skills, and balance the proportion of expenses. If there is a service charge or consumption tax, you can also calculate the total cost through a simple calculation formula.
3.DIY project: When making furniture, cloth and other devices, it is necessary to measure the dimensions of each component with a ruler and cut and splice according to the measurement results. This process needs to master the related knowledge such as proportional relation and trigonometric function.
4. Travel planning: planning a trip needs to consider time, route and cost. And these must be reasonably estimated, which requires the use of arithmetic, projection measurement on the trajectory and other knowledge to transform and evaluate the quantity.