Math skills taught in early childhood education are designed to provide the foundation children need to succeed in elementary school and beyond. Educators should focus lessons in early childhood around the basic skills that build up to advanced mathematics in high school and college. From preschool to the end of elementary school, children are setting the foundation for future life skills.
Read more :https://education.cu-portland.edu/blog/classroom-resources/important-math-skills-early-childhood-educators-should-teach/
The teaching of mathematics in primary school must have as its main objective to create the bases that students require in order to understand the mathematics of the following levels, including mathematics taught at the university level. Mathematics taught at the elementary school level must combine the theoretical and practical teaching of the fundamental principles that make it up, so that students are forced to understand why the principles, postulates, axioms, rules and practices associated with the use of the tools taught at this level. It is a great mistake to try to teach mathematics only through practical applications and the solution of exercises using the fundamental tools that make it up, as it creates in students the impression that mathematics can be understood through the performance of multiple practical exercises. The understanding of the theory behind each principle, axiom, theorem, corollary, rules, etc., it is essential to understand mathematics at all levels.
I think that's very difficult. Abstraction is difficult. For child and adult. But it's almost impossible for a child. So complete the images in his mind to begin to draw abstract meanings and begin mathematics.
Jorge Morales Pedraza thanks for your good explanation, i understand that you don't agree with "verbalize and individualize mathematics" without understanding of the theory behind concepts. but is it easy to teach young children theory of these principles?
To understand the subject, we must use philosophy.
Understand understanding and how to deal with basic primitive information
The man does not understand what is happening around him at the beginning of his life. (Childhood era) Millions of pictures come and stored in memory.
The mind treats them and organizes them to have a later concept of life (this is when they are children). The man looks like an animal here at this point. We do the same. It takes advantage of this property to learn about eating, distinguishing and knowing the danger. Benefits from compiling and storing images only for living.
At first, the child only takes pictures and pictures. In the next steps, they begin to learn the language. When he enters school in his mind only images of life. Stores millions of images every day. At this stage he does not learn mathematics, physics and geography. Learn to recognize images and the corresponding meanings of abstract.
Grows up and starts with abstraction and understanding. Here he can add, subtract and divide apples into four parts. Because he started learning abstraction and giving meaning to everything.
The child learns through experience - see David Hume - to give meaning to all things. But to understand and learn must be abstraction. This sets us apart from animals.
Mathematics begins later when the child grows up and begins to give meaning to everything he touches. Abstraction comes late
Dear @Alkhalaf M.Taher Thank you for your kind comment. I know nothing about Mr Hume's philosophy, i am agree with you about abstract education in young children is not accountable, and Abstraction comes late. But I doubt that the child is like an animal in early ages, perhaps this is the underestimation of the capabilities of young children, Because cognitive psychology and neuroscience and mathematics education about the characteristics of young children have proven many things.Thanks again
I am not the one who claims that. Originally, I did not know him before. But I think that the child at the beginning of his life only collects the images as an animal and stored in memory to benefit later. The child grows up and learns abstraction and the animal stands at this point. The child begins to think and the animal does not think. The child reaches the stage of the mind and the animal does not.
See Aristotle and the philosophy of Greece. alkazali Abu hamd. Ibn Rochd. Many philosophers have written on the subject. Today, there are modern educational theories based on this subject.