My daughter was a “little laggard” in math in the third grade, but she finally managed to achieve high scores with these three steps

The comprehensive test results of Xueersi came out, and my little girl (fifth grade) stayed in the Qinsi class without any suspense. The father of the child was looking forward to this exam, but the child did not get into the innovation class. He was a little disappointed, but I was very indifferent. As someone who tutors my daughter in math, I still know how much the baby weighs. Taking the comprehensive test is mainly to practice for the test, and it is also an examination of the learning results in the past six months. What makes me gratified is that my daughter\’s comprehensive test has improved every time, and she has always maintained her love for mathematics and her habit of using her brain. Five years of primary school are about to come to an end. Looking back on my daughter’s math learning path, I would like to share my thoughts and opinions. It may be laughed at by parents in middle schools and high schools. You are welcome to comment and look forward to the discussion. School Mathematics: \”Stupid methods\” are very important. I attribute calculation exercises, test papers, rigid question-taking habits and sorting out wrong question sets to \”dumb methods\”. These three words are in quotation marks because I once dismissed them. I still remember that my daughter’s math teacher came up with these “stupid ways” as soon as she entered the first grade of elementary school. The daily homework for the first and second grade students was 100 calculation exercises. At that time, I self-righteously ignored these repetitive and mechanical exercises, and even did them for me. At the end of third grade, my daughter got a \”B\” in math. What! Such a big lethargic, so many 100-point exams in one class actually got B\’s. I quickly made an appointment with my math teacher, and when I saw the paper, I found that I made a mistake in a formula, an area calculation, and a word question. There were three big crosses, and I was deducted 12 points. Looking back at the unit test in the first semester of third grade, my daughter has fallen out of the 95-100 range, often hovering around 92-93 points. Every time I attributed it to carelessness and didn\’t take it to heart, until the dazzling \”B\” in the final exam gave me a slap in the face. I asked the math teacher why the highest scores in grade 3’s usual tests were for children in grades 1-2 who didn’t show much enthusiasm. The teacher said that the first and second grade students were resting on their laurels. From the third grade onwards, children with good study habits and solid foundation gradually showed their talents. The teacher analyzed her daughter\’s test papers and felt that she was restless. When I got home, my grandparents, who had always been Buddhists, couldn\’t sit still and suggested that my daughter do more papers to expose her weaknesses in mathematics and then practice in a targeted manner. I once thought that writing papers was a waste of time. More than 90% of a test paper is repeated practice of simple questions. I would rather focus on solving them. However, thinking about my parents’ suggestions and the teacher’s mention of the problem of “restless mind”, I decided to give it a try by making papers. I remember that when I traveled to Japan during the winter vacation, my daughter would make a paper every night after going to the hot springs. Sure enough, nine out of ten questions about area and perimeter will be wrong. It seems to be a straightforward question for adults, but I don\’t know why her mind is stuck. Find the area into the perimeter and the perimeter into the area. At the same time, problems with writing habits, question review habits, and calculation proficiency are gradually exposed. The first two rely on self-summary, and the third has no other way but to practice. Start calculating a small supermarket on one page every day! A winter vacation training was quite effective. In the second semester of the third grade, my daughter’s score returned and was stable between 98-100. go throughAfter this lesson, the calculation exercises became a daily routine, and the test papers were taken every two weeks to maintain the exam status. Our math teachers are very professional and will give you a paper as homework every two weeks. The knowledge points in school may seem simple, but the weekend papers can accurately help you discover areas where your child\’s grasp of concepts is not strong. Starting from the second semester of third grade, I will regularly compile my daughter’s wrong questions in exams or daily practice into documents, and I will not let go of childish mistakes, because sometimes seemingly childish mistakes are actually due to the child’s incomprehension of concepts. Print out the set of wrong questions and do a few more wrong questions while doing calculation exercises every day. It will take a total of 20-25 minutes. 25 minutes a day, plus bi-weekly practice test papers, helped my daughter maintain a top level in school mathematics. With a solid foundation, even if she encounters a test that is a little difficult and has few high scores, her daughter can always get a test paper with a score of 98-100. Off-campus Mathematical Olympiad: Solve the questions appropriately. I have always believed that mathematics is highly related to talent, especially a high-level subject like Mathematical Olympiad. Without talent, simply answering questions will only lead to a rigid thinking. However, my daughter’s experience of learning the Mathematical Olympiad made me realize that any knowledge that is higher than my own cognition requires practice to understand and consolidate. However, for Puwa, practice is to deepen the understanding of concepts. For those with super cognitive abilities, Qiang, the purpose of answering questions is to improve your skills. The word practice is not accurate. It should be said to be purposeful, focused, and moderate practice (moderate difficulty and amount). For our Puwa, the purpose of exercises is to expose gaps in conceptual understanding and consolidate them. Here are two examples – not long ago my daughter learned a knowledge point – \”proportion\”. The teacher understood everything she said, and she also did a good job on the questions in class, which seemed perfect. After class, I did \”Gas Station\” (after-class exercises), and there were many mistakes. I analyzed it and found that there was a very basic concept that she had not considered 👇6: 3 = 2: 1. So for a 9-meter-long rope, in the two ratios of 6: 3 = 2: 1, would the length of each part be the same? ? My daughter replied: It’s different. But such a simple concept was transformed into a slightly more complex itinerary problem and was ignored. I learned \”split term\” during the summer vacation 👇3/(7*4) = 1/4 -1/7. When I was learning it, the teacher reminded me that when the term is split, the numerator can only be 1. However, when doing the problem, my daughter still took it for granted and wrote 3/4 – 3/7. This is also caused by the unclear principle. Let my daughter prove the split term formula once, and the principle will be clear at a glance. When I first started learning Mathematical Olympiad in the third grade, the teacher only asked me to do three questions for consolidation after class. Starting from the summer vacation of the third grade, the tutor asked me to finish all the gas station questions after class. In the first semester of fourth grade, Xueersi conducted the \”Five Lectures and One Test\” in class. In order to cope with the test, I had to take some time to review. As the amount of practice increases, my daughter masters the concepts in Mathematical Olympiad better and better. When it comes to math exercises, the principle I have always adhered to is moderation. Among my daughter’s three subjects, I allocate the least time to math. For most children with normal IQs, flowers will bloom wherever they spend their time. But in primary school, I am more willing to invest in subjects such as Chinese and English that require long-term accumulation. Because mathematics is positively related to cognitive and intellectual development, the difficulty of the questions should be controlled within the range that can be reached on tiptoe, and the amount should be moderate. I think it is more worthwhile to divert the time spent on doing a lot of math questions to reading or studying other subjects. . Regarding knowledge consolidation, I would rather let my daughter spend time doing old questions than doing new ones. In the second semester of fourth grade, I asked my daughter to do the exercises and \”gas stations\” in the fall and winter vacation of fourth grade again. While reviewing, also review the proofs of some important principle knowledge, such as various principles in number theory, the contour model in geometry, etc. Since the third grade, we have taken three Xueersi mathematics comprehensive tests. The first time we got a B (Smart Learning), last year and this year we got an A+ (Qinsi). After this year\’s comprehensive test, Xueersi made a thoughtful analysis of the test situation, listing the average scores of the comprehensive test for each class in school, and the recommended admission score for the corresponding class. My daughter’s score is 63. Although she did not reach the admission score, she reached the average level of students in the innovation class. Although I have no requirements for her Mathematical Olympiad, I am very pleased with this improvement. Study Habits \”Study habits\” used to be a very abstract word for me. Over the years of reading with you, it has become concrete: the habit of writing in a regular manner, the habit of checking, the importance of writing, the habit of neatly summarizing the steps of problem-solving, I believe many children have made similar mistakes👇missing questions and copying wrong answers in school-level tests , copied the wrong operation symbol, and marked the correct option in the multiple-choice question but did not write the option in parentheses. When doing difficult questions, I like to think in the air in my head without writing. For multi-step questions, I don’t write down the units and the meaning of each step, which leads to a loss of ideas… There was a time when I asked my daughter to answer some questions that she had done wrong. After summarizing the topic, by correcting the bullet point, she can find after a few times that most of the time the problem comes from one or two bad habits. It is easier for her to accept correction when it is well-founded. Of course, this is a cyclical process. Making mistakes, summarizing, and correcting require constant iteration. Mathematics learning does require discipline.