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How do I introduce my kid to addition and subtraction? Is there any internet tool for me to support?
I would start with blocks, maybe. Then pennies and dimes (reflecting our decimal system).How do I introduce my kid to addition and subtraction? Is there any internet tool for me to support?
I don't think you need a computer for this. The way I introduced this to my kid was originally by counting. Limit yourself to addition first, I'd say, and make a difference between operational techniques on one hand, and a conceptual understanding. First he/she needs to grasp conceptually what "addition" means.How do I introduce my kid to addition and subtraction? Is there any internet tool for me to support?
This is much the way it is done at school.I would start with blocks, maybe. Then pennies and dimes (reflecting our decimal system).
I wrote a flash card like program for a young neighbor that seemed to work but it really needed verbal along with the visual. That's what you should be looking for.
Remember using those in first grade ! However, I think they come AFTER the conceptual understanding of what addition is: namely "how many" we have when we "put the heaps together and count again".This is much the way it is done at school.
Counting starts with numbers of objects. The it is a matter of grouping objects into smaller numbers.
http://en.wikipedia.org/wiki/Cuisenaire_rods
http://educationalsolutions.com/visible-a-tangible-math/mathematical-situations?menuId=79&ms=2
https://www.amazon.com/dp/B000FFWCOW/?tag=pfamazon01-20
http://www.teachingsupplystore.com/math_cuisenairereg-c-1011135_1032816.html
This is much the way it is done at school.
Counting starts with numbers of objects. The it is a matter of grouping objects into smaller numbers.
http://en.wikipedia.org/wiki/Cuisenaire_rods
http://educationalsolutions.com/visible-a-tangible-math/mathematical-situations?menuId=79&ms=2
https://www.amazon.com/dp/B000FFWCOW/?tag=pfamazon01-20
http://www.teachingsupplystore.com/math_cuisenairereg-c-1011135_1032816.html
I don't think the Cuisenaire rods were around when I was in 1st grade back in the early 50s, but when I first heard of them, they seemed like great devices to teach all four arithmetic operations, making somewhat abstract operations much more concrete.Remember using those in first grade ! However, I think they come AFTER the conceptual understanding of what addition is: namely "how many" we have when we "put the heaps together and count again".
Those rods are great tools because the bars already represent "heaps".
They are even better tools to introduce the subtraction "what rod is missing ?"
In fact, there are several conceptual ways to look upon addition and although for us they are of course "equivalent", for youngsters, they represent different conceptual ideas. The concept that D H introduces (I guess coming from the logical definition of the natural numbers :-) ) is a different concept for a kid than what I mention. It should also be introduced (but I'm not sure it should be introduced *first* - we could discuss about that). D H talks about addition as repeated "is the successor of". I talk about "counting the two heaps, and then counting them as one heap". The rods could be seen as pre-defined heaps, OR as abstract numbers and a puzzle which defines an abstract addition independent of "counting" (a bit like "if you mix yellow paint and blue paint, you get green paint" - if you put together the violet rod (4) and the green rod (3) you get the "same as" the black rod (7).
violet + green = black.
4 + 3 = 7