Montessori checkerboard bead multiplication?

[Walking-Iris]

Has anyone done this particular multiplying activity with your children? http://keithgeorgefa...iplication.html

 

I'm really interested in giving it a try as a hands-on supplemental activity, but I don't really understand it completely. Are there links, ebooks/pdfs etc that others know about to explain better how to do this and teach it? I have no experience with this activity irl.

 

Also I have already decided to make the beads myself. http://livingmontessorinow.com/2011/08/08/montessori-monday-diy-bead-bars/ I thought, perhaps, I would change the color scheme to make them consistent with the c-rods. It seems to me that there is no special significance with the colors other than to make them consistent in montessori schools. About how many would I need?

 

I also have a friend currently working on sewing me one of these to use. http://www.montessor...heckerboard-mat I am going to write in the place value numbers on the white. What is the progression though? 1 10 100 1000 10,000---up to what? There's nine on the bottom and four vertically. So what numbers are on it? (This is why I need links to how to pdfs or something!)

 

Anyone?

[laf919]

I have not done it myself, but I think the checkerboard is used with small cards that have the numerals 0-9 on them. The child places the correct cards for the problem they are working on the mat, works the problem using the beads, and then records the answer. So you wouldn't want to write numbers on it - you would want to be able to use cards to work many different problems. Does that make sense?

I looked into doing Montessori style education for a long time and there are several websites that have free manuals for teachers that list all the lessons. I do not remember any off the top of my head but you might try googling "Montessori albums" and see what comes up. I know there are some out there that you can buy as well as some that are free to download. If you search and can't find them, let me know and I will look - it's been several years but I am sure you can find some. Good luck! I love many things about Montessori even though I have gone a different direction with my kids.

[letsplaymath]

Has anyone done this particular multiplying activity with your children? http://keithgeorgefa...iplication.html

 

I'm really interested in giving it a try as a hands-on supplemental activity, but I don't really understand it completely. Are there links, ebooks/pdfs etc that others know about to explain better how to do this and teach it? I have no experience with this activity irl.

 

This Montessori method is basically just a colorful, hands-on way to keep track of place values as you multiply and to put off all the "carrying" or "renaming" until the end. If you want to understand how this works, you could google "multiply using lattice method", which is the name it's called when older students do it with pencil and paper.

[Laura Corin]

Is your child a hands-on learner? Calvin was introduced to this piece of equipment at Montessori school and he just couldn't work out what it meant. When I took over his schooling and taught him to multiply on paper, he understood it quickly. He just doesn't learn through doing.

 

Laura

[Heathermomster]

Why do you need to make the beads? I would substitute c-rods for the beads. Also, as a pp mentioned already, this looks like lattice multiplication, spelled out very well. I like it.

[Walking-Iris]

I have not done it myself, but I think the checkerboard is used with small cards that have the numerals 0-9 on them. The child places the correct cards for the problem they are working on the mat, works the problem using the beads, and then records the answer. So you wouldn't want to write numbers on it - you would want to be able to use cards to work many different problems. Does that make sense? I looked into doing Montessori style education for a long time and there are several websites that have free manuals for teachers that list all the lessons. I do not remember any off the top of my head but you might try googling "Montessori albums" and see what comes up. I know there are some out there that you can buy as well as some that are free to download. If you search and can't find them, let me know and I will look - it's been several years but I am sure you can find some. Good luck! I love many things about Montessori even though I have gone a different direction with my kids.

 

I understand about laying number cards down. The numbers I was talking about writing on the board are the 1 10 100 etc that you can see from my links above are actually printed on the checkerboard. I have to write them myself because my board is being hand-made, not purchased. From the best guess I can make the bottom row goes to 100,000,000 (maybe?) but I'm tryiong to undestand how the 9 numbers on the bottom relate to the 4 vertically.

 

 

This Montessori method is basically just a colorful, hands-on way to keep track of place values as you multiply and to put off all the "carrying" or "renaming" until the end. If you want to understand how this works, you could google "multiply using lattice method", which is the name it's called when older students do it with pencil and paper.

 

Thank you so much. I didn't know what this was called. Having a name for it will help me research it further.

 

 

Is your child a hands-on learner? Calvin was introduced to this piece of equipment at Montessori school and he just couldn't work out what it meant. When I took over his schooling and taught him to multiply on paper, he understood it quickly. He just doesn't learn through doing. Laura

 

My kids are doers. Especially in regards to math. I don't mean for this to replace regular methods for learning multiplication. I want to try it as an extra, hopefully interesting activity. This is a supplemental activity that I'm really interested in exploring.

 

 

Why do you need to make the beads? I would substitute c-rods for the beads. Also, as a pp mentioned already, this looks like lattice multiplication, spelled out very well. I like it.

 

The easy answer for why I am making my own beads is because they are darn expensive!!! I still plan on using c-rods as well with our other math activities, but I like the idea of having a countable quantity. Sometimes it can be difficult to see that a ten c-rod is ten, since it is obviously only one long rod. I think that having a second set of c-rod colored bead chains (ala montessori) will just help reinforce the c-rod concept. I suppose you could just use c-rods. Except the nice thing about montessori beads are that they can be linked together to make chains.

[Heathermomster]

What is the progression though? 1 10 100 1000 10,000---up to what? There's nine on the bottom and four vertically. So what numbers are on it? (This is why I need links to how to pdfs or something!)

 

Anyone?

 

It looks like you can multiply up to 9,999 (right side) times 999,999,999 (bottom); therefore, the bottom numbers would be 1 10 100 1000 10,000 100,000 1,000,000 10,000,000 100,000,000

 

Numbers on the right side would start at the lower right corner moving upwards and would read 1 10 100 1000

 

Clear as mud?

[Walking-Iris]

 

It looks like you can multiply up to 9,999 (right side) times 999,999,999 (bottom); therefore, the bottom numbers would be 1 10 100 1000 10,000 100,000 1,000,000 10,000,000 100,000,000

 

Numbers on the right side would start at the lower right corner moving upwards and would read 1 10 100 1000

 

Clear as mud?

 

 

Thanks!! That's sort of what I thought from just my zoomed in perusal of pictures of these boards. yes it's clear as mud! :) I tried to explain to my dh what I wanted to do and I got the blank stare. But now that I have a name for it, (lattice) I can figure it out so much more easily.

[Guest edseg]

This Montessori method is basically just a colorful, hands-on way to keep track of place values as you multiply and to put off all the "carrying" or "renaming" until the end. If you want to understand how this works, you could google "multiply using lattice method", which is the name it's called when older students do it with pencil and paper.

 

In general the Montessori Method is far more than just colorful & hands on.

Montessori done properly can helped to thoroughly understand math (and other subjects) and form a well trained mind ( in both children & adults )

 

RE the checkerboard, if that is all you were referring to, it is more to it than "basically just a colorful, hands-on way to keep track of place values as you multiply and to put off all the "carrying" or "renaming" until the end."

 

There are sequenced lessons. Some presentations put off carrying or renaming until the end, typically the beginning ones. Other presentations allow for doing mult in your head, carrying as you go along etc.

As with most of the Montessori materials, there are numerous  objectives.

 

Here are some links to checkerboard multiplication:

http://georgefamilymontessoriathome.blogspot.com/2013/07/montessori-checkerboard-multiplication.html

 

Both checkerboard & decimal checkerboard

http://montessoritraining.blogspot.com/2012/10/favorite-lower-elementary-montessori-math-material-checkerboard.html#.VMZtZlY-BMI

 

Understanding the squares of the checkerboard

http://thelearningark.blogspot.com/2014/04/introduction-to-checkerboard-lesson.html

 

 

Re the question about beads vs the c rods, those beads are so valuable. They will be used from age 3 up  adolescent math.

The bead work helps to thoroughly understand operations work, squaring, cubing etc and  eventually  can go into all sorts of algebra works.

The rods take away from something kids often still need when multiplying large numbers, that is the ind beads.

 

The c rods are great, but should be painted the Montessori colors as to be able to used with squaring and cubing of binomials, trinomials quadrinomials etc.

This demonstrates (6 + 3 ) cubed.

http://www.montessori-spirit.com/4324-thickbox_default/cubing-material.jpg

Which = 9 cubed. With this material, the child can break down their cube and write out their equation.