Anonymous wrote:
Anonymous wrote:
Anonymous wrote:
Anonymous wrote:
Anonymous wrote:
Anonymous wrote:I am a current Beauvoir parent and I agree with 15:45. I have two kids there, one in 3rd and one in K. My third grader's mathematical comprehension astounds me. However, she has not "memorized" all of her multiplication tables (facts). This does not concern me or my husband who is a middle school algebra teacher in MC. He is of the philosophy that memorization of math facts is the lowest form of learning. She will know them by heart one day. What impresses us more is that she can dissect a math problem and can think her way through almost any elementary math problem. I credit Everyday/Chicago math for that. Think about it, these kids will eventually get their addition and multiplication facts. Almost anyone can memorize them. I guess I could drill her and make sure that she knows them but I would rather her understanding be concrete than spend time drilling math facts into her memory. Just my humble opinion.
I am a mathematician, and I am curious about your husbands statement. Ask him if he thinks that those who memorize facts, do not also understand. I would love to know what is so wrong with memorization?
Not the original poster but an educator who also teaches mathematics. I understand the statement. Memorization is the ability to restate information. If children can tell you that 6 X 3 = 18 but are not able to connect this understanding to repeated addition or picture representations they do not understand the concept of multiplication. This is often the case in mathematics; students can tell you the formula (because they have memorized it )but do not have an understanding why the formula works. The lack of mathematical understanding causes great difficult for students as they matriculate to more difficult mathematics courses.
Just food for thought . . . When students are given a problem such as 6 X 5 they automatically say 30. The = sign does not necessarily call for a solution it means balance. So students could write 6 X 5 = 10 + 10 + 10 or 40 - 10. If students do not have the mathematical understanding that the = sign means balance this will effect them when they take courses such as algebra. This is the problem with memorization.
Do you have any studies to back that up? I am curious because I don't believe that anyone has been able to show that the old school approach is bad. I also think that when children memorize, MOST of them are indeed also understanding.
Sorry I have no research to back this up. Like I said before I am an educator and can only speak from experience. Do I want my students to know there facts yes but more importantly I want them to understand the big ideas of mathematics. Many students are missing these big ideas. For example students have difficult understanding the connection between the area formula for a triangle and a square.
Final thought . . . Memorization is not good in isolation for any subject matter.
I am not saying just memorize, but I do notice that there is this anti-memorization group in the US. I have tutored many a child here in math, and I notice that because they have not been "drilled" with the basics, esp. multiplication, they can't move with speed through certain problems. Then it takes them FOREVER to get through one problem, then they can't practice many, then they don't get enough practice, and so on. Even with calculators, they press the wrong number, and they can't even see why they were way off because the knowledge is not there. Lot of people can memorize
and understand, they are not exclusive approaches.