Middle School Geometry, as an important branch of mathematics, is important for the development of studentsSpatial imagination, logical thinking and problem-solvingIt plays a vital role. However, many children have difficulty learning middle school geometry, resulting in poor learning results. So,Why can't your baby learn geometry in junior high school?
If your baby graduated from college and is not a major related to mathematical research, and after graduation, it is not in the education industry, and you are not so obsessed with plane geometry, then the knowledge mastered in the junior high school entrance examination may be the peak moment of your baby's plane geometry.
First of all, let's be deeply aware thatMiddle School GeometryOne significant change from elementary school mathematics is thisSignificant expansion of the depth and breadth of the body of knowledge。In primary school, most of the geometric knowledge that students are exposed to stays at the basic level, such as length, area, angle and other concepts. Although on the basis of these concepts, there will be some problems involving area calculation, but their essence is still the application and investigation of algebraic knowledge. Of course, there are also problems that require a certain amount of observation and spatial imagination, such as solving the area of certain figures by cutting up ideas, but these problems still fail to really touch the essence of plane geometry.
As students enter junior high school, they are introduced to a more esoteric world of geometry, a fantasy paradise of parallel lines, triangles, quadrilaterals, and circles. This paradise requires not only children to have a keen sense of abstract thinking, but also to themMaster the key to logical reasoningin order to successfully solve every geometric mystery. However, for many children, this is the biggest challenge they face, and the ability to think abstractly and logically becomes the bottleneck for their freedom to explore this paradise.
Let's talk about it againHigh schoolLearn, once youMaster the essence of vectors and trigonometric functions, you can solve almost any plane geometry problem with the sharpness of your calculations. It's like a dimensionality reduction blow, so you don't have to worry about complicated auxiliary line construction and various theorem proofs. At the moment, you just have to rely onSolid computing powerto master the geometry challenges that made you rack your brains in junior high school. This method of calculation, although straightforward and effective, may lack some of the elegance and beauty of mathematics. However, it is an effective way to solve the problem. Therefore, as a wise parent, when you understand the series of knowledge systems of elementary, junior high, and high school, you will find that childrenThe key moment to really get into plane geometry was in junior high school。In the first stage, they hardly encounter any esoteric geometric proof problems. So,In fact, the time for studying and investigating plane geometry was only two years。In fact, there is only time for the study and investigation of plane geometryA short two years。Although this period is short, it is the best period for children to lay a solid foundation and exercise their logical thinking skills. I hope that every parent can cherish this precious time and guide their children to explore and overcome the mysteries of plane geometry with the right attitude and methods. Middle school mathematics can be divided into:4 major plates:Algebra, Geometry, Functions, and Probability. However, if you savor it, you will find thatGrades 1 to 7The journey of mathematics seems to be a journey withDeep conversations in algebra。The operations of addition, subtraction, multiplication and division, the solution of equations, and the challenges of practical problems are all wonderful interpretations of algebraic knowledge. These seven years of mathematics learning will inevitably allow the baby to form a fixed mathematical learning method and thinking mode.
In the study of algebra content, it is difficult to have a situation where you can't understand, can't think of, and can't do it。As long as you see enough questions, step on all kinds of pits once or several times, do the questions carefully and not carelessly, and then rely on the amount of questions to ensure accuracy, most of the results will not be too bad.
Therefore, most parents feel that as long as my child learns all the knowledge points in advance, has seen enough questions, trains repeatedly, and improves proficiency and accuracy, the results will not be bad. However, this mode of thinking may hinder or even restrict students' geometry learning.
The biggest difference between geometry and algebra is thatAlgebra is a question of whether it is right or not, and geometry is a question of whether it will be or notOnce the geometric proof is figured out, all that remains is to write the solution process according to the standard process, which is what we often sayIt is not difficult to meet, but if you can't think of it, it may give you a few hours, you still can't think of it, that's what we say,The victims will not.
The essence of geometry learning is to learn to think, we must learn to work backwards from the conditions of the question and the proof, find the medium to do the question, and complete the proof. But now there are several practical problems with the babies:
First, my child is now heavy on all subjectsIt is difficult to ensure the depth of thinking about science homework topics, let alone the connection points between summary topics.
Second, especially in the second year of junior high school, you may be in a daze for a long time, or think about it for a long time, you don't know if he's really thinking about it? Or is it in the fugue? Because there is no way to visualize the child's mind, it is uncontrollable.
Third, children enter adolescence and are less willing to communicate with their parents. The parent-child relationship is on the verge of collapse.
So what is the most important question to ask questions, how to improve geometry learning?
First, you still need to learn in advance
For example, if you start learning geometry in the first year of junior high school or even in junior high school, then at this time your academic pressure is not so great, you have enough time to think, a question will not be thought for 20 minutes today, put it away, think about it tomorrow, tomorrow will not continue the day after tomorrow, to what extent is it okay to think about it? It's when youAfter saying everything you can think of, the teacher only reminds you of one sentence, or one key point, and you will do it, which is real thinking。The memory formed after this kind of thinking is irreplaceable by the proficiency of brushing questions.
Second, think from the perspective of the person who wrote the question
If you can explain clearly how the person who wrote this question is designed, what knowledge points he wants to examine, you can think about this question from several angles, what methods can be made, what can't be done, why can't it, and how this question can be changed, what are the test points after the change, and what ideas and solutions are there, then you can definitely learn geometry well!