Anonymous
01/23/2017 13:57
Subject: Long multiplication and division
Anonymous wrote:Anonymous wrote:None of this matters as much as memorizing the multiplication tables.
I find it beyond absurd that Montessori would teach this in first grade. If I were that pp, I would be embarrassed to have posted that.
You need to take a look in a Montessori classroom. No child would be doing this type of work without a solid understanding of the decimal system and the ability to instantly multiply numbers under 12 (not necessarily through chanting tables as you imply.) But Montessori is great at teaching and reinforcing that.
First and second graders in Montessori classrooms regularly solve problems like that using manipulatives like the checker board. My own 7 year old Montessori child can now do problems like those above in a matter of minutes without manipulatives or other materials, just paper. She does have a particular interest in math and may be ahead of most other kids her age in her class, but it's Montessori, so I have no idea about where most of the other kids are.
Very interesting that this is not taught for several more years in trad schools.
yes, they can use the manipulatables to work it out, but it's not like many understand what they are doing. You can hand them the problem OP posted and have them get the answer without using the racks and tubes or whatever (your child is different I understand). I think it is fine, but it's not really what OP asked. My child is 1st grade in an AMI Montessori classroom and basically is just following steps with the materials with a general sense that he is "dividing it up." And he has no understanding of decimals and can't multiply numbers under twelve at all.
Anonymous
01/23/2017 12:31
Subject: Long multiplication and division
4,231
3,897x
Was taught in 2nd or 3rd grade depending on math group at my public ES.
231/345,678
Do you actually mean 231 divided by 345,678 or do you mean 345,678 divided by 231, because there's actually a pretty big difference in terms of how math is taught in most schools. The former would be 3rd grade, since it's just an extension of standard division; the latter (which is the question you posted) would, in my experience, be more like 4th or 5th when they started combining standard division with simple fractions, explaining the interplay and extending that understanding to complicated fractional division problems...
3,897x
Was taught in 2nd or 3rd grade depending on math group at my public ES.
231/345,678
Do you actually mean 231 divided by 345,678 or do you mean 345,678 divided by 231, because there's actually a pretty big difference in terms of how math is taught in most schools. The former would be 3rd grade, since it's just an extension of standard division; the latter (which is the question you posted) would, in my experience, be more like 4th or 5th when they started combining standard division with simple fractions, explaining the interplay and extending that understanding to complicated fractional division problems...
Anonymous
01/23/2017 12:26
Subject: Long multiplication and division
My child is in a private school and will do the multipication problem in 4th grade. The division problem in 5th.
Anonymous
01/23/2017 12:22
Subject: Long multiplication and division
Anonymous wrote:Anonymous wrote:Anonymous wrote:None of this matters as much as memorizing the multiplication tables.
I find it beyond absurd that Montessori would teach this in first grade. If I were that pp, I would be embarrassed to have posted that.
You need to take a look in a Montessori classroom. No child would be doing this type of work without a solid understanding of the decimal system and the ability to instantly multiply numbers under 12 (not necessarily through chanting tables as you imply.) But Montessori is great at teaching and reinforcing that.
First and second graders in Montessori classrooms regularly solve problems like that using manipulatives like the checker board. My own 7 year old Montessori child can now do problems like those above in a matter of minutes without manipulatives or other materials, just paper. She does have a particular interest in math and may be ahead of most other kids her age in her class, but it's Montessori, so I have no idea about where most of the other kids are.
Very interesting that this is not taught for several more years in trad schools.
Umm, did you go to school? Long division and multiplication are not usually taught in first grade.
Probably somewhere that taught me better comprehension skills than yours. Please read the bolded sentence again. If you are still having trouble let me know and I'll put it into shorter, simpler words for you.
Anonymous
01/23/2017 11:58
Subject: Long multiplication and division
Anonymous wrote:Anonymous wrote:None of this matters as much as memorizing the multiplication tables.
I find it beyond absurd that Montessori would teach this in first grade. If I were that pp, I would be embarrassed to have posted that.
You need to take a look in a Montessori classroom. No child would be doing this type of work without a solid understanding of the decimal system and the ability to instantly multiply numbers under 12 (not necessarily through chanting tables as you imply.) But Montessori is great at teaching and reinforcing that.
First and second graders in Montessori classrooms regularly solve problems like that using manipulatives like the checker board. My own 7 year old Montessori child can now do problems like those above in a matter of minutes without manipulatives or other materials, just paper. She does have a particular interest in math and may be ahead of most other kids her age in her class, but it's Montessori, so I have no idea about where most of the other kids are.
Very interesting that this is not taught for several more years in trad schools.
Umm, did you go to school? Long division and multiplication are not usually taught in first grade.
Anonymous
01/23/2017 11:57
Subject: Long multiplication and division
Anonymous wrote:In FCPS they do this in 4th and 5th grade. Funny, my 8th grader in geometry now has to re learn some of this and gets tested on it periodically with a quiz called Top Score. The teacher knows the kids are weak on calculations so she is making sure they know it. Very good!
+1 4th grade seems normal.
Anonymous
01/23/2017 11:55
Subject: Long multiplication and division
Also, PP, you need to understand that the Montessori curriculum is individual. If a child is ready they learn something. If not, they don't.
Anonymous
01/23/2017 11:54
Subject: Long multiplication and division
Anonymous wrote:None of this matters as much as memorizing the multiplication tables.
I find it beyond absurd that Montessori would teach this in first grade. If I were that pp, I would be embarrassed to have posted that.
You need to take a look in a Montessori classroom. No child would be doing this type of work without a solid understanding of the decimal system and the ability to instantly multiply numbers under 12 (not necessarily through chanting tables as you imply.) But Montessori is great at teaching and reinforcing that.
First and second graders in Montessori classrooms regularly solve problems like that using manipulatives like the checker board. My own 7 year old Montessori child can now do problems like those above in a matter of minutes without manipulatives or other materials, just paper. She does have a particular interest in math and may be ahead of most other kids her age in her class, but it's Montessori, so I have no idea about where most of the other kids are.
Very interesting that this is not taught for several more years in trad schools.
Anonymous
01/23/2017 06:24
Subject: Long multiplication and division
None of this matters as much as memorizing the multiplication tables.
I find it beyond absurd that Montessori would teach this in first grade. If I were that pp, I would be embarrassed to have posted that.
I find it beyond absurd that Montessori would teach this in first grade. If I were that pp, I would be embarrassed to have posted that.
Anonymous
01/23/2017 05:59
Subject: Long multiplication and division
In FCPS they do this in 4th and 5th grade. Funny, my 8th grader in geometry now has to re learn some of this and gets tested on it periodically with a quiz called Top Score. The teacher knows the kids are weak on calculations so she is making sure they know it. Very good!
Anonymous
01/23/2017 00:18
Subject: Re:Long multiplication and division
Anonymous wrote:My son learned slightly shorter problems, like
328
x 7
in 3rd grade using the lattice method.
He's learning several algorithms this year in 4th grade.
He's in a private school, using the Everyday Math curriculum, which has a lot of critics. But for him, so far, it's been good. He is solidly learning the material. I "don't" know if it's in line with what other 4th graders are doing, though.
Come back and post when your child is in middle school and has big gaps in his math education. Everyday Math is a weak math program.
Anonymous
01/23/2017 00:15
Subject: Re:Long multiplication and division
My son learned slightly shorter problems, like
328
x 7
in 3rd grade using the lattice method.
He's learning several algorithms this year in 4th grade.
He's in a private school, using the Everyday Math curriculum, which has a lot of critics. But for him, so far, it's been good. He is solidly learning the material. I "don't" know if it's in line with what other 4th graders are doing, though.
328
x 7
in 3rd grade using the lattice method.
He's learning several algorithms this year in 4th grade.
He's in a private school, using the Everyday Math curriculum, which has a lot of critics. But for him, so far, it's been good. He is solidly learning the material. I "don't" know if it's in line with what other 4th graders are doing, though.
Anonymous
01/22/2017 21:33
Subject: Long multiplication and division
In mcps, they solve it using alternate methods in 4th and the standard algorithm in 5th.
Anonymous
01/22/2017 21:28
Subject: Long multiplication and division
My DD did long multiplication and division in first and second grade in her Montessori class. The division problem you wrote goes to decimals, and she learned that in fourth grade. She has never been in traditional school, though. Kumon does these topics in third grade.
Anonymous
01/22/2017 21:23
Subject: Long multiplication and division
What grade do kids typically learn problems like:
4,231
3,897x
-------
Or 231/345,678
4,231
3,897x
-------
Or 231/345,678