The idea is to start easy then advance by degrees. You will find that pretty soon your students are doing some pretty "serious" algebra. The idea is to understand the concepts and the way you do that is obviously not to memorize a lot of rules and formula. In fact, you will see students begin to make up their own rules as they get better at playing "what's under the cup?"
At first problems like these pose a challenge as the students are learning to count, and can pose a problem for some students when these are first introduced in 5th or 6th grade. They get confused with "inverse addends" and "inverse functions", as well as rules about walking across the equals sign...just tell me what has to be under the cup.
Once this game becomes easy, you can move on to more advanced what's under the cup. Problem Solving is easy and you will see their thinking skills improve as they use their computation skills to start doing math via algebra. I thought this lesson was about 10 minutes long, turns out it's 25 minutes long. Times flies when your having math.
This was their first time playing advanced what's under the cup like this. The next time will be easier and the time after that easier still. Each time we play another concept can be introduced and other concepts reinforced. Look for more vids with other kids in the coming weeks where we start adding negative numbers...they will be on the advanced algebra page...
The video above will be added to the Problem Solving page. Which is about to undergo a revamp...or I may have to add a another page or two. Meantime you can search "Crewton Ramone Problem Solving" in your favorite search engine or on Youtube.
Here is a video that gives an overview for older students who don't have the luxury of taking one concept at a time. This is really advanced what's under the cup:
And the little boys can do this also...the game is called find stuff that's same on both sides...
So nice to have the luxury of time! When I made that video I had 10 minutes to get the point across and Youtube gave you one minute grace and I used every second of it. Now I can pause and blab about food and whatever bounces into their heads...and eventually you will see the boys doing some of the exact same problems you see in the second video. If you keep it simple and make it so the answer ends up being x equals a number they are actually easier than some of the problems in the first video...
Look us up on Facebook and Twitter...you might consider a password as a donation. This project is pretty much 100% powered by passwords and some larger donations I have received. People are quick to send me emails asking questions, advice, and for videos on specific topics but pretty slow to send even three bucks. Those who buy combo kits or take lessons get free passwords and those who donate 25 bucks or more have found they get vids made for them pretty quickly and everybody gets a response to email eventually...some quicker than others, but I generally answer them all. If you already have base ten blocks or know somebody who does, make sure you let them know about this site and encourage them to get a password.
I always enjoy the emails that basically say, "what can I do to help?" Some people have some great and creative ideas. The best thing you can do is spread the word. That doesn't mean sell passwords for me. That means just post on your Facebook page, share posts or vids with friends, hit the "like" button, or "tweet" button, make comments, that's the best help. Eventually I will take some of you up on some of the offers...but for now just spread the word...oh, and get a password. Even three bucks helps...
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