So, how to cultivate junior high school students' interest in mathematics?
First, create a teaching situation to stimulate students' curiosity and cultivate junior high school students' interest in mathematics.
According to the characteristics and needs of teaching materials, the story is described in vivid language, which induces students to be in the story scene and actively participate in teaching activities. Ask questions in fun and think in doubt, so that students have a strong interest in learning and a strong desire to explore. Combine science with the teaching of sound, color and shape to form a vivid, lively and efficient classroom teaching situation and promote the development of students' potential.
Example 1: Diophantine was a great mathematician in ancient Greece. The tombstone of Diophantine records: "One sixth of his life is a happy childhood; He lived another twelfth of his life, and a thin beard grew on his cheeks. He got married and spent a seventh of his life; In another five years, he has a son and feels very happy; But the son only lived half his father's age; After his son died, he spent four years in grief and passed away. "
Q: Do you know the life span of Diophantine, the age when Diophantine became a father and the age when his son died?
Analysis: At first glance, this topic can't be started, but if we start with the quantity of "age", it is not difficult to find that these hidden contents such as happy childhood must be integers, so we can know that the age of Diophantine can be divisible by 2, 6, 7, 12, so there are 84, 168, 252 .. Finally, it is proved that Diophantine is lost.
Comments: This is a famous Pythagorean question. If this problem is solved simply by a series of equations, it is difficult for students to understand the mathematical mystery contained in it.
Second, stimulate students' potential interest in mathematics through practical mathematics problems in life.
Strolling through Fengxin Pedestrian Street, I often see such advertising words: "Great discount, 30% off!" Some of them are even more attractive: the advertising words "jumping prices, 30% off" all imply many mathematical problems.
Example 2: (Changsha, 20 10) A real estate in Changsha is going to be sold at an average price of 5,000 yuan per square meter. Since the introduction of the new real estate policy in the State Council, buyers have been waiting for money. In order to speed up the capital turnover, the developer decided to sell it at an average price of 4050 yuan per square meter after two price adjustments.
(1) Find the average percentage of each downward adjustment;
(2) Some people are going to buy a house of 100 square meters at the average opening price, and the developer has also given the following two preferential schemes to choose from: 1 is sold at a discount of 9.8; No discount, two-year property management fee, that is, per square meter per month 1.5 yuan. Which scheme is more favorable?