We all know that mathematics knowledge is very important, not only in education, but also in future economic success. China's industrial structure is becoming more and more mature, and it needs high-paying jobs with some knowledge of mathematics, and there will only be more and more in the future.

Don't trust those successful people in TV dramas. So much for the writer's life circle. Most of them are writing advertisements, planning and selling ... Many people can try their careers without much mathematical knowledge, which leads to fierce competition in these occupations. And even if you want to start your own business, you have a great business plan. Poor math often becomes a stumbling block for many entrepreneurs.

(2)

There are significant individual differences in children's mathematical cognition. Children who are ahead in math tend to be ahead, and children who are behind in math often find it difficult to work hard. Therefore, math scores are often a headache for many parents. Many students have been putting on makeup from junior high school to senior high school, but the effect is not ideal. Although there is a great correlation between the early and late stages of other subjects' knowledge, the differences in children's mathematical cognition are often more stable than those in reading and other abilities, so it is particularly important to attach importance to early mathematics education.

Many children have to attend various interest classes at an early age. Parents attach great importance to the openness and input of education, which is also statistically obvious. Big data also tells us that there are significant social class differences in mathematical cognition. Obviously, if parents are exhausted for their livelihood, they will naturally lack care and love for their children and purposeful teaching.

(3)

However, our energy and children's energy are limited. Specifically, in mathematics, when children come into contact with the budding ideas of mathematics in primary school, where they need the most attention and where their cognition is most related to their mastery of mathematics in the future.

A few days ago, I read a document in Weibo, "Primary school students' mastery of fractions and division is the best index to predict their total scores in algebra and mathematics in high school".

In the teaching, it is also found that high school students who are not good at mathematics often have problems in the understanding of fractional operation and division, so they put aside other materials first. I found this article "Early Predictors of High School Math Achievement" published in Psychological Science, Volume 23, No.7: Volume 69 1 ~ 697, No.2012 (Early Predictors of High School Math Achievement, authors RS Siegle and GJ Duncan, etc. ) and have a look.

(4)

This paper analyzes two sets of representative data, one is British cohort study data (BCS) and the other is American child dynamics study data (PSID- CDS).

The British cohort study (BCS) included 3677 British children born in 1970. These children 10 years old take math test, 1.6 years old take math test. Ability measures include language and spelling, as well as parents' income, gender and the number of brothers and sisters.

PSID CDS includes 599 American children. 1997 tested integer and fractional operations at the age of 10 to 12, and then tested algebra, geometry and probability at the age of 15 to 17 in 2002.

This paper makes a statistical analysis of these data. Whether in Britain or the United States, statistics show that the ability of fractional knowledge at the age of 10 is the strongest factor affecting the mathematical cognitive ability at the age of 16. The correlation coefficient reached 0.8 1 (test level p

High school students' fractional knowledge is also closely related to their algebraic knowledge, and the correlation coefficient in British data is 0.68 (test level P

When analyzing the data, it is also found that the correlation between high school students' fractional knowledge and mathematical knowledge is stronger than that between algebra knowledge and mathematical knowledge. The correlation coefficient of British group was 0.8 1 to 0.73 (chi-square value 66.49, test level P

(5)

In order to explain this phenomenon, this paper refers to a holistic theory of mathematical development, which holds that the cognition of numbers is a gradual process, and the establishment of division and fraction is very important in the development process. For the first time, scores make students feel the qualitative change of numbers, which is significantly different from the essence of integers. There are many other analyses and studies in this paper, so I won't mention them because the author's English level is limited and it is not the main conclusion.

In this way, we can use the knowledge of division and fraction in primary school to make an expectation for the future development of mathematics, which is better than the judgment made by IQ, parents' education level and family income.

Therefore, it is self-evident that parents with young children need to give priority to what part of primary school mathematics knowledge is when they see this.

That's division and fraction!

Of course, after all, it is not related to 100%, so don't ignore the cultivation and education of other mathematical knowledge.

Don't forget to pay attention to me after reading.