Red Mansion: I relied on the AFK system to create a dynasty

The students began to actively discuss and compare their solutions.Cen Mingche guided them to analyze the applicability and efficiency of each method, helping them understand the problem more deeply.

Over time, Cen's educational approach continued to evolve, and he decided to introduce more practical problems and challenges to help students apply mathematics to real-life situations.

Cen Mingche: "Students, mathematics does not only exist in textbooks, it also exists in the world around us. In order to better understand this, I propose a new challenge. I will give you some practical questions that require You use the math you learned to solve it."

Student dd: "Teacher Cen, this sounds interesting!"

Cen Mingche: "The first question is about investment. If you have a certain initial capital, invest every year and get a certain annual interest rate, how much will your capital become after many years? This is a common financial question, we You can use the compound interest formula to solve it."

Student ee: "Okay, let's do the math."

The students started doing calculations and soon came up with their answers.Cen Mingche encouraged them to share their solutions.

Cen Mingche: "Very good, studentee, can you share your solution?"

Student ee: "Of course, we can use this formula: a=p(1+r/n)^(nt), where a is the final total amount of funds, p is the initial investment amount, r is the annual interest rate, and n is the number of compound interest , t is the number of years of investment.”

Cen Mingche nodded: "Very correct. This is a very useful formula that can help us plan financial goals and investment plans. Now, let's look at the next question, about the relationship between speed and time. If a car moves at a certain speed The speed has been traveled for a while, how far will it travel?"

Student ff: “This is a physics problem and we can solve it using the formula that distance equals speed times time.”

Students began to answer this question and actively discussed its application in different situations.Cen Mingche encouraged them to think about various practical scenarios.

Cen Mingche decided to introduce the concept of absolute value, which is an important concept in mathematics and has many practical applications.

Cen Mingche: "Students, absolute value is a very useful concept. It can help us deal with the positive and negative situations of numbers, whether in mathematics or in real life."

Student gg: "What does absolute value mean?"

Cen Mingche: "The absolute value represents the distance from a number to zero, and it is always non-negative. For example, |x| represents the absolute value of x. If x is a positive number, then its absolute value is still x; if x is a negative number, Then its absolute value becomes -x."

Student hh: “That sounds a bit complicated.”

Cen Mingche: "Don't worry, we can understand it through examples. For example, if there is a temperature sensor that measures -5 degrees Celsius, then its absolute value is 5 degrees Celsius, because the temperature measured by the temperature sensor is 5 degrees Celsius away from zero. ."

Student ii: “What are the applications of absolute values ​​in mathematics?”

Cen Mingche: "Absolute value has applications in many fields, such as when solving inequalities, or when expressing error ranges. It can also be used to define distances and modular lengths."

Student jj: “Sounds like absolute value is important.”

Cen Mingche: "Yes, absolute value is a basic concept in mathematics and has a wide range of practical applications. Let's do some exercises together to see if you understand."

Students began doing exercises to calculate the absolute values ​​of various numbers and apply them to different problems.Cen Mingche encourages them to try different methods to solve problems to develop their creativity and problem-solving skills.

As time went on, Cen continued to push his students deeper into the world of mathematics.In the next lesson, he focused on the concepts and applications of logarithms.

Cen Mingche: "Students, next we will discuss logarithms, which are mathematical tools used to measure exponents and changes. It has wide applications in science, engineering and finance."

Student KK: “What is a logarithm?”

岑明澈：“对数是一种函数，它告诉我们一个数要以多少次幂才能得到另一个数。比如，如果我们有2^3=8，那么log?8=3。log?是以2为底的对数函数。“

Student ll: “Sounds a bit complicated.”

Cen Mingche: "Don't worry, we can understand it through examples. For example, if we measure the energy of an earthquake, we usually use the Richter scale, which is a logarithmic function. The energy of one earthquake is 10 times that of another, corresponding to The Richter scale increases by 1."

Student mm: "So what are the uses of logarithms in real life?"

Cen Mingche: "Logarithms are useful in many situations, such as in finance, where they can be used to calculate compound interest and future value. In science, they can be used to represent very large or very small numbers, such as stars in astronomy. wait."

Student nn: “Logarithms sound very useful, how can we use them?”

Cen Mingche: "We can use logarithms to simplify complex calculations, such as solving exponential equations or processing data. It can also help us better understand some complex phenomena, such as economic growth or population growth."

The students began to learn how to use logarithms to solve problems. Cen Mingche demonstrated some practical application examples, allowing them to gradually understand the concept and value of logarithms.

In the next class, Cen Mingche decided to emphasize the importance of asking questions because he believed that asking questions was the key to learning and understanding.

Cen Mingche: "Students, today we are going to talk about the art of asking questions. Questioning is not only a way to acquire knowledge, but also helps us think deeply and understand the problem."

Student oo: "Teacher Cen, are questions really so important?"

Cen Mingche: "Of course, asking questions is very important. By asking questions, we can clarify doubts, explore new ideas, guide thinking, and improve problem-solving abilities."

Student pp: "So, how to ask questions effectively?"

Cen Mingche: “Effective questions usually have the following characteristics: clear, specific and targeted, open-ended, guiding and thought-provoking. We should avoid questions that are too vague and ask specific questions that can guide discussion. "

Student QQ: "Give me an example, Teacher Cen."

Cen Mingche: "Okay, for example, you want to understand a mathematical concept. Instead of asking 'What is this?', you can ask 'How is this mathematical concept applied to real life?' Such questions are more in-depth and can spark more meaningful discussions.”