There are many concepts in mathematics. How to make students master the concept correctly should explain what kind of process is needed and to what extent. Mathematical concept is a form of thinking that reflects the essential attributes of mathematical objects. Its definition is descriptive, indicating the extension of alien species, and there is a way to add concepts to categories. A mathematical concept needs to remember the name, describe the essential attributes, realize the scope involved, and use the concept to make accurate judgments. These questions are not required by teachers. Without learning methods, it is difficult for students to study regularly.
Let's summarize the learning methods of mathematical concepts:
(1). Read the concept and remember the name or symbol.
(2) Recite the definition and master the characteristics.
(3) Give two positive and negative examples to understand the scope of conceptual reflection.
(4) Practice and judge accurately.
2. Learning method of formula
The formula is abstract, and the letters in the formula represent infinite numbers in a certain range. Some students can master the formula in a short time, and some students have to experience it repeatedly to jump out of the ever-changing digital relationship. Teachers should clearly tell students the steps needed in the process of learning formulas, so that students can master formulas quickly and smoothly.
The learning method of the mathematical formula we introduced is:
(1). Write the formula and remember the relationship between the letters in the formula.
(2) Understand the ins and outs of the formula and master the derivation process.
(3) Check the formula with numbers and experience the laws reflected by the formula in the process of concretization.
(4) Transform the formula to understand its different forms.
(5) Imagine the letters in the formula as an abstract framework, so that the formula can be used freely.
3. Learning methods of theorems
A definite reason consists of two parts: conditions and conclusions. This theorem must be proved. Proving process is a bridge connecting conditions and conclusions, and learning theorem is to better apply it to solve various problems.
Let's summarize the learning methods of mathematical theorems:
(1). Recite the theorem.
(2) The conditions and conclusions of the distinguishing theorem.
(3) The proof process of understanding theorem.
(4) Applying theorems to prove related problems.
(5) Understand the internal relations between theorems and related theorems and concepts.