In the second grade math homework, I began to recite the multiplication table of 99. The 99 multiplication table blurted out by others for more than a minute, the baby slowly became 3 minutes and 50 seconds, including the wrong answer. Except for a few commonly used and easy-to-remember formulas, most of them subconsciously use 4,8, 12,16,20,24 to find the answer.
It seems inefficient, but Eva insisted a long time ago that she didn't want to recite pure calculations. I'm in no hurry. Anyway, there is only one mathematical answer, but there is no absolute formula in the process. Never learn by rote until you understand math. The only purpose of advocating recitation in learning is to remember knowledge so that you can use it skillfully at any time.
Mathematics is different from liberal arts, which requires a long period of written knowledge accumulation. Repeated use is the key to mastering the ability of expression. Mathematics is based on logical laws, which come from changes that need to be discovered constantly, and then strengthen to a deeper level of application. Reciting answers directly without paying attention to the process, the worst consequence is to let children develop the habit of applying formulas and not thinking much.
Suppose the child remembers the multiplication formula of 1~5 by reciting and knows that 4×2=8. What I remember now is that the single number 4 plus x in the equation connects the number 2, and the final result is equal to 8. Conversely, why is 2×4 equal to 8? Without the support of complete logical understanding, it is difficult for children to figure out that 4×2 is four groups superimposed twice, and the result is 8.
Expand knowledge:
The refined digital expression in the multiplication table actually comes from the gradual increase of addition, and the changing pattern is accurate to every formula according to the established law, and the truth contained in it is definitely not easy to understand by simply reciting a formula.
Whether it's the math textbook published by People's Education Edition or the Singapore math workbook mentioned earlier, all questions about multiplication begin with the classification of graphics, so that students can understand the basic concept of multiplication first. Learning mathematics should not rely on recitation. Progressive knowledge is actually showing the different relationships between numbers.
In order to find the established laws between multiplication formulas, it is best to understand the relationship between multipliers and final results through deduction and reasoning, and then explain the incremental changes of numbers in derived formulas.