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The working purpose of Montessori triangle box
Binomial cube and trinomial cube are two jobs. It is necessary for children to build a cube according to certain rules. It was built inside the box at first, and then it began to be built outside the box. When children do these tasks, they are exploring the relationship between spaces. Of course, in this process, they also need to use their own visual senses, so the refinement of vision has been going on.

These are all relatively direct meanings. Behind the direct meaning, there are some indirect and far-reaching meanings. The first one is children's reading preparation, which we have introduced in detail when we talked about the significance of geometric painting cabinets. I won't go into details here. In short, as long as it is a work of visual sense, it will actually be more or less prepared for children's future reading.

The second is the indirect preparation of algebra. You may think, how did it come to algebra? Indeed, as parents, we may feel that algebra knowledge is far from our children. I remember that we didn't come into contact with algebra until we entered junior high school. But if we look at binomial cubes and trinomial cubes carefully and think about what each prism in them represents, I can see the answer.

The binomial cube * * * has eight prisms and presents an equation: (a+b)3=a3+3a2b+3ab2+b3.

Which cube represents which part of the equation is not discussed in detail here, and this is not the focus of our discussion now. I just want you to know that in binomial cube, a sensory work that seems to be just building a cube, there is actually some mathematical knowledge hidden behind it.

Similarly, the equation presented by the trinomial cube is: (a+b+c) 3 = a3+3a2b+3a2c+B3+3ab2+3b2c+C3+3ac2+3bc2+6abc.

On the basis of the above algebraic equations, we are also helping children to prepare the concept of cubic roots. Cubic roots are naturally marked in these two jobs, which are our solid color cubes and three primary colors: red, blue and yellow cubes.

But don't get me wrong. I will introduce the preparation of binomial cubes and trinomial cubes in algebra, not to say that children should "learn" these mathematical concepts, let alone memorize these equations. On the contrary, children can absorb these impressions in a sensory way by doing such sensory work early in life. When he is older, such as entering middle school, he will be formally exposed to algebra, and his previous sensory experience will be helpful to him. It seems that I planted a seed in my heart when I was a child. Only when he really begins to learn these mathematical knowledge can he better understand these abstruse concepts.