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Observed Mathematical Phenomena:
The falling water droplets are always spherical in shape.
Of all the dimensions of the same volume, the sphere has the smallest surface area.
Your Impression: Mathematics knows no borders.
Observed Mathematical Phenomena:
The trunk is cylindrical.
Your impression: The world of mathematics is colorful.
After entering high school, perhaps because of the deepening of the course, many of my classmates have encountered obstacles in mathematics, in fact, I have also had this experience, but first of all, I should regain my self-confidence in the past failures.
It is very important to believe in your own strength, both in terms of study and life. Secondly, for the study of mathematics, I believe that we should try to absorb and understand it as much as possible in class on the basis of listening carefully to the lectures, and that the study of theorems and definitions should not be blindly memorized like the liberal arts, but should be naturally imprinted into our minds on the basis of understanding, and applied in the exercises, so as to draw inferences from others and achieve the level of proficiency in application.
Again, the study of science is not just about understanding certain theorems, the nature is sufficient, and it is necessary to practice and apply them on the basis of understanding in order to truly master it. Especially for mathematics, due to the large amount of calculation in the exercises, you should find a quieter place, devote yourself to the exercises, find some typical exercises to practice, not only can deepen the impression, speed up your calculation speed and accuracy, sometimes you will find some shortcuts in the exercises to solve the problems, sometimes some methods that can only be understood in your own hearts, but you can benefit a lot in the future exercises and exams. Maybe that's what the ancients said"Practice makes perfect"Let's do it!
I think this method is really effective, and as you accumulate little bits, your grades will continue to rise.
Of course, on the basis of good learning and application of knowledge in class, we should also read more reference books in this area, increase our knowledge, learn more ways to solve problems, and master more ideas for solving problems, so that when you encounter problems, not only will you not be nervous, but you will be more confident.
The above points are just my thoughts on learning mathematics, and I hope to share the crown with you!
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Math Impressions:
Current Situation and Analysis of Mathematics Learning Methods for Junior High School Students.
Through the classroom teaching practice in the past three years, the basic methods of mathematics learning for junior high school students can be summarized as follows: reading, listening, thinking, speaking, memorizing, writing, correcting, and applying, and there are certain defects and deficiencies. The main manifestations are:
1.Many students do not know how to read the content of mathematics textbooks, and always think that reading textbooks is to read the conclusions, and they not only fail to read thoroughly, but also have poor adaptability and practical application ability, which seriously restricts the development of self-learning ability.
2.Students cannot fully realize the important role of the teacher's lectures, and fail to grasp the key points when listening to the lectures, resulting in neglect of one or the other, distraction, and reduced efficiency of listening to the class, and the effect is extremely low.
3.Students' thinking is often disturbed and influenced by the mindset, and they are not good at analyzing, transforming and further thinking, and their thinking is narrow, lagging behind, and even bent to the point of hindrance, which dampens their enthusiasm for learning and is not conducive to their learning.
4.Poor verbal skills. It is mainly manifested in the inability to express when solving problems. When the teacher asks a question, the content of the oral expression is not concise, vivid, inaccurate, or the answer is not the same as the question.
5.Most of the knowledge of recognition and memory is mechanical memory, and there is little comprehension memory, and they are satisfied with remembering conclusions, rather than based on understanding, generalizing, and associating, resulting in the incomplete establishment of cognitive networks.
6.The writing format is chaotic, the organization is not clear, the drawing is not standardized, and it lacks due rigor and standardization. In particular, geometric issues are more prominent.
7.After homework or testing, students cannot correct their mistakes in time, and they cannot find the cause of the error and the method of correcting it.
8.Because students' memory of knowledge is mechanical, emphasizing knowledge conclusions and ignoring the process of knowledge occurrence, they cannot use the knowledge they have learned to solve practical problems and have poor application ability.
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Thoughts on mathematics writing ideas: You can write according to your own situation, if your test results are not satisfactory, write your own shortcomings, and then write solutions for your own shortcomings.
Text: When I saw the math results, I cried, and through the tears I saw the disappointment and regret of my teachers and parents!
I was so disappointed in my math results this time, because it was a shame that I was wrong. For an application problem, plant trees on both sides of the 4,000-meter-long road, plant one tree every 100 meters, and plant at both ends, ask how many trees can be planted in total? I got the equation right, but unfortunately I copied 4000 into 400, and I didn't check it out when I checked it, so the precious 5 points said "bye-bye" to me.
The last question is to draw a line chart, I drew the chart correctly, but after the drawing, I relaxed, when I traced the dots, I actually traced 85 on 75, although the following are all right, but not a single point for me. It's all carelessness that causes trouble, looking at the bright red and dazzling red cross on the roll, I feel like I've knocked over the five-flavor bottle, and I can't tell what it tastes like.
I was in tears and dejected on the table, in fact, my mother was also disappointed, but in order not to discourage me, my mother comforted me and encouraged me: "This is just a small test in life, you have to learn to lose, it doesn't matter if you don't do well, as long as you can find mistakes and learn from them, you are the best."
The exam has passed, and all the grades must be zeroed. Don't be proud because you did well in Chinese and English, and don't be discouraged because you didn't do well in math. What we have to do now is to get up from where we failed, lay a good foundation for future learning, and always have confidence in ourselves, baby, mom believes in you!
After listening to my mother's words, my eyes suddenly lit up, the darkness in my heart was banished, and I regained my confidence.
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Writing ideas and key points: Take the topic of mathematical perception as the topic, describe in detail about the perception of mathematics exam, and then express your thoughts and opinions.
Text: Last Friday, Mr. Zhang tested us in the second unit of mathematics.
Many students are stumped by fill-in-the-blank questions and operation questions. Some people ask here and there, and some people look east and west, but none of them are serious! I think it's all because we don't memorize the definition that Mr. Zhang tells us to memorize, and we don't do our homework seriously in class and don't listen to it carefully!
The test papers were sent down, and I saw that most of my classmates had done very badly, and they didn't even get a perfect score! All the students in the classroom are asking for answers. I returned to my seat, and my test paper was also taken by Qi Duoduo to read, alas!
During the exam, I was also stumped by the fourth question of the fill-in-the-blank question, and I slept on the table to look at the papers of my tablemates, but I was desperate because my table mates were also stumped. When I was doing the operation problem, when I used the triangle to spell the corners, I was very anxious and thought! It's almost done, hurry up!
He bent the vertices of the corners. I shouldn't have made a mistake in the last question, and I was the only one in the class who didn't write the equals symbol, and I lost points in vain.
There was only one reason why I was wrong, and that was that I was in a hurry. Because I was in a hurry, I forgot the definition; Because I was in a hurry, I drew the wrong corner; Because I was in a hurry, I didn't write the equals symbol!
Why are you anxious? It's because I've always wanted to be a little faster than others, I've always thought that I can't lose to others, and I haven't won the first place yet, so my heart has become more anxious!
I think that if we fall, we have to get up, because failure is the mother of success, so we can still be the first in the whole grade in the future!
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Summary. Hello, I'm glad to answer for you the math impression of the math journey is 1 After entering the classroom, be energetic in the process of lecturing.
2. Pay attention to the changes in teaching forms and means, not stick to board books, and use modern teaching tools such as multi-**.
3. Be able to observe students carefully, listen carefully to students' questions, and answer them carefully.
4. Don't simply ask for the liveliness of the class, but guide students to think and concentrate on books.
5. If the class is focused on the point, be sure to let every student pay attention.
How to write math impressions for math journey.
Hello, I am glad to answer for you the mathematical impressions of the journey of the number of Bu Feng are 1 to enter the classroom, in the process of lecturing to be full of spirit 2 pay attention to the changes in teaching forms and means, not confined to the board book, and at the same time use more ** and other modern teaching tools 3 can carefully observe the students, listen carefully to the students' chaotic questions, carefully answer 4 do not simply seek the liveliness of the classroom, to guide students to think about the disadvantages of the test, concentrate on the book 5 If the class is focused on, we must let every student concentrate.
We all know Zhaofan, the most important function of the human brain is thinking, and mathematics happens to be a discipline that cultivates people's thinking ability. A thinking mind is inexorable, it enables you not to lose yourself in the face of complicated things, it enables you to deal with complex problems in an orderly manner and show your wisdom and strength. Learning is our own business, and it should not be forced by parents and teachers, because internal factors play a decisive role.
If you don't want to learn yourself, what will happen if others push you? I think we all lack initiative, enthusiasm, study, perseverance, and perseverance. Sometimes, I even feel that some of our classmates regard their studies as a burden and a task.
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Feel the math. Longgang District, Shenzhen, Guangdong Province, Longgang District Experimental School, Class 7 (1) Tan Tianjin.
I once heard an Olympiad math teacher say that learning mathematics is like a fish and a net; Being able to solve a problem is like catching a fish, and mastering a method of solving a problem is like having a net; So, the difference between "learning math" and "learning math well" is whether you have a fish or a net.
Mathematics is a very thoughtful course, and it is very logical, so it will always give people an illusion.
Geometry in mathematics is interesting, and each figure is interdependent, but also has its own merits. For example, circles. The formula for calculating the area of a circle is s= r, and because the radius is different, we often make some mistakes.
For example, "a pizza with a radius of 9 cm and a radius of 6 cm is equal to a pizza with a radius of 15 cm", in terms of proposition, this question first confuses everyone and gives people an illusion, and cleverly uses the area formula of the circle to make people produce a wrong balance.
In fact, a pizza with a radius of 9 cm and a radius of 6 cm is not equal to a pizza with a radius of 15 cm, because the area of a pizza with a radius of 9 cm and a pizza with a radius of 6 cm is s= r = 9 +6 = 117, and the area of a pizza with a radius of 15 cm is s= r = 15 = 225, so a pizza with a radius of 9 cm and a half with a radius of 6 cm is not equal to a pizza with a radius of 15 cm.
Mathematics, like a peak, straight into the sky, just started to climb, it feels very easy, but the higher we climb, the steeper the mountain becomes, which makes people feel frightened, at this time, only people who really love mathematics will have the courage to continue climbing, so people who stand on the peak of mathematics love mathematics from the bottom of their hearts.
Remember, the person standing at the foot of the peak cannot see the peak.
Instructor: Youchu Cui.
Contributed:2005-8-13 11:35:04
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