Here is a little more on division concepts, look forward to more screencasts on this in the future we will just get bigger...and bigger...
Long division is despised among 5th and 6th graders...it should be easy as pie...but not the way we currently teach it. Which by the way is part of a methodology that is an UTTER FAILURE. Yet year after year very little changes. If you start small understanding simple problems like how many times is 2 contained in 8, bigger problems like how many 12's in 132 is also easy and then ones that have remainders like how many 6's in 341 or how many 23's in 687 are no problem. You also realize that you don't want to model every problem with blocks! Once you understand the concepts and have gone from blocks to pictures to symbols ANY problem is easy (or easier) with pencil and paper and "multiply and subtract" makes sense...you might also find students able to do the easy ones that have no remainders in their HEADS.
They are going to have to get very conversant with multiplication though...
In the conceptual method using base ten blocks little kids are exposed to division concepts at the same time they are learning to add and subtract because math is just counting and multiplication and division are just adding and subtracting very quickly...all of it is just counting. 35 divided by 7 is just counting sevens and even easier than that if we use blocks to make a rectangle it's just counting one side when we know the whole rectangle and the other side.
Then there are improper fractions...which is just division, and fractions concepts inherently involve division (and multiplication) concepts. Then of course there are ratios which are also steeped in division concepts...
Go to my division page which is under construction (along with the rest of the site) for more. You'll find this vid as well as a couple of others there.
As you read and watch this know that worksheets are being created for both multiplication and division and they will soon appear on the pass word protected pdfs page...passwords are currently a buck but the password is about to change at the end of the month and the price is going UP.
Currently a password gets you into the pdf's page where you can down load lots of different worksheets, onto a password protected screencast site that has algebra and percentages on it, as well as the advanced algebra page which at the moment isn't that exciting it just links you to the screencast channel and has some vids on factoring all in one place...but I am told it's MORE than worth the dollar, lol. people also tell me that the price is too cheap so people think there's no value there since it's only $1...and a buck doesn't get you anything anymore.
Divinely Dandy Non Difficult Division for just $19.99. This book will show you everything you learned here and MORE laid out step by step with links to videos and pages that give simple concise explanations for how to use the rectangle to organize thought, how to introduce division concepts at a very young age, and how to make fun while you are doing it. I guarantee that video alone will expand your thinking when it comes to division and math.
Watch the video on the Preview and Purchase page that gives you a page by page over view of the PDF so you can "try before you buy", see exactly what you are getting and be confident it will be money well spent.