The textbook is based on students' familiar and interesting life scenes, and pays attention to infiltrating these mathematical thinking methods into students, putting learning activities in simulated scenes, providing students with opportunities for operation and activities, initially cultivating students' awareness of orderly and comprehensive thinking, and laying the foundation for students to learn combinatorial mathematics and probability statistics in the future.
Extended data
ELISAHA DING's book What to Learn and What to Teach from the Wide Angle of Mathematics clearly analyzes the wide angle of mathematics. At the beginning, he made a textbook interpretation of every topic of mathematics wide angle, analyzed the teaching objectives, teaching emphases and difficulties of each class, and pondered the editor's intention.
1. Equivalent substitution
Replacing a quantity with an equivalent quantity is a basic thinking method in mathematics and the basis of algebraic thinking method.
If a = b and b = c, then a = C. The equivalent actually used is replaced by:? F(a=b∧f(a)→f(b)), where f is the generalized equivalent substitution of the formula, for example, "If Li Si is a synonym for Zhang San and Zhang San is a person, then Li Si is a person".
Step 2 plant trees
In order to be more intuitive, it is illustrated by graphic method. Trees are represented by points, and the lines along which trees follow are represented by lines, thus transforming the problem of planting trees into the problem of the relationship between "points" on an unclosed or closed line and the number of line segments between two adjacent points.
3. Digital coding
Most digital coding uses position representation, that is, any digital quantity can be represented by the sum of some numbers. These numerical codes have different values according to their positions in the expression. In other words, each different position has its own "rights".
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