This week in class we explored some of those ways.
Traditional:
This form is the method we were taught from day one of formal education, the stacking of the two numbers like so, not much explanation needed.
http://everydaymath.concordnhschools.net/modules/cms/pages.phtml?sessionid=df8d994395a2e08afb0842c63b74e11e&sessionid=&pageid=158683
Partial Sums:
This form is not farm from the traditional form, but it paints a clearer picture of what it is the traditional concept entails. By separately adding each placeholder, for example 34+98 would be 30+90 and 4+8.
http://teacher.sheboyganfalls.k12.wi.us/staff/laschwab/EveryDayMath.htm
Decomposing:
Another more creative visual of addition involves using a number-line to show the growth involved in addition. Similar to the regular number-line we worked on earlier in this year, though you are able to start at one of the numbers involved in the equation.
This example goes a step further to also implement compensation to make the jump easier.
http://www.kcptech.com/dynamicnumber/elementary_number_properties.html
Compensation:
This form of addition makes numbers that are hard to add without the traditional form and "carrying" much more manageable, because as a teacher of young math students the key to most problems are finding a "friendly" or "nice" number.
For example, if we were to be adding 34+28, not many of us would be able to solve this without counting. If we were to round the 28 to a "nicer" number like 30, we would have 34+30. Which you can easily do in your head, you come to 34+30=64 then COMPENSATE for the numbers you rounded to by subtracting the 2 (64-2) coming to the actual answer 62.
http://mindfull.wordpress.com/tag/compensation-addition/
Give and Take:
Similar to the compensation concept, give and take turns difficult numbers into nice numbers, but instead of rounding on its own, you give and take numbers from the numbers in the problem. Therefore you don't have to compensate in the end, because you never added or subtracted numbers that weren't there to begin with!
http://mathcoachscorner.blogspot.com/2012/10/more-mental-math-strategies.html
Addition can be as complicated or as simple as you want! Here are a few ways to do either.
Kyra,
ReplyDeleteI love how each description has a visual to go with it! The visuals compliment the text well because it makes your words come to life. They were exactly what I was picturing in my head as I read. I also liked how you added a sentence or two in the explanation to show your personality and opinion. Making your writing engaging and not dull. It's always pleasant to learn something through someone else's perspective. Definitely a great blog to refresh my mind of the week before!
i really like how you described each of the different methods for sloving the possible methods for subtraction and addition problems. The pictures were a great thing to include for it helped deomonstrate what you were explaining. I really liked your blog and was well done with the way everything was layed out and organized.
ReplyDeleteKyra, I loved how descriptive you were! The explainations of each method (traditional, partial sums, decomposing, compensating, and give and take) were really detailed. It was helpful that there were visuals for each one. The ones I thought that were really interesting and helpful were the "compensating" and "give and take" methods. They seemed to be a quick, simple, and logical way to solve an addition problem with higher numbers in the hundreds. I really enjoyed reading your blog!
ReplyDeleteI love how descriptive you are in each different method and how you give great examples for each method. The pictures/ examples really help me understand how to solve the problem and what the methods are. You are really good at describing exactly how a problem should be done.
ReplyDelete