Wyatt is starting 6A in a few weeks, and Riley is doing 3A right now. I teach them at separate times in math, so they can each focus on their math completely. Our SM lesson format is similar to pjdobro's. I get 2 marker boards (1 for me, 1 for my ds), some dry erase markers, and a few erasers, and we sit down to the table to begin with the Textbook. I read through the problems out loud, and I point out the word bubbles and any examples given for working the problem. I use the word bubble tips and draw any visual examples as necessary on the marker board as we work through the problems together in the Textbook. One thing I have found with Singapore - nothing is wasted on the page. There are not filler graphics or words - everything on the page has a purpose, and everything should be referenced and discussed.
After completing the textbook together, we move to the workbook. Now my dc take over more. I remain sitting near them, and I usually have them read the first few problems out loud to me, explaining to me how they are working them out. During this time, I try to say the tips again from the textbook in a casual way, and remind them of any marker board type drawings similar to the textbook's examples that may help them as they work the problem. If they are struggling, we open the textbook back up, look at the example again, and apply to the current problem they are working. I stay near my dc's side as they do their workbook to help if any questions arise. I have not used the HIG's yet, and I feel that they are both doing very well in math. Their standardized test scores indicate they are working at an advanced math level, but I'd be very happy with average Joe scores too.
When it comes to working story problems, I like to remind them to think about first "what they know" and then second "what is the problem asking". The "what they know" part usually can be shown visually on a marker board or with paper/pencil somehow in the same manner it was taught in the textbook. The "what is the problem asking" part helps them notice when Singapore is giving them a problem that has several steps that need to be done to answer it. Sometimes, when they have done the first step, they think they are done. It helps to ask them what that number/answer represents (i.e. the number of girls that went to the event), and then ask them "what is the problem asking" again (i.e. What is the total number of boys and girls that attended the event?). This lets them see they did the first step, but they are not done, and a second step (or third or fourth step as they get older
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) must now be done to solve the problem.
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On Reviews, I help jog their memory as needed by reminding them of any tips they may need a nudge to use. Singapore Reviews are all-encompassing and quite advanced, and being there to help jog their memories as needed helps keep them rolling along.
If they are continuing to struggle with a concept, I usually work a few problems on a markeboard Singapore-style with them and then just move on. The concepts come back around again and again, and often times a little growing in maturity in between times is all it takes for it to stick. One last thing I've figured out, fact memorization comes later with Singapore, but because it does, it is solidly in place forever. Our dc rarely make mistakes in computation. This "coming later" business worried me first. I tutored dc in elementary and middle school math for several years to have some source of income as I stopped teaching in ps and started teaching my own dc at home. I had eighth grade students still working on multiplication and division facts, and it scared me! How I wish those dc had been able to learn their facts the Singapore way earlier on! Math would have clicked much more easily for them, and it's tough to go back. Anyway, both Wyatt and Riley had their facts memorized later than I thought they would, but what was interesting is we never just worked on memorizing facts. It was just the continual working through of math problems, many of them word problems with multiple steps, and many of them with mental tips to visualize, that made the facts known to the dc. What's more, as I was saying, they hardly ever make errors - oh, that brings me to the last part of our lesson.
About in 3B or 4A, I begin grading assignments, but only the assignments I feel dc have had ample exposure to (not assignments that are introducing new concepts). When they have missed a problem, I circle it and hand it back to them to fix. If they did happen to make the rare computation error, they usually look at it and laugh and say, "Oh! That was a silly mistake - this should have been '42' instead of '48'!".
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If it is something they are still stumped on, we pull out the markerboard and work it through together using the same method and terminology as was used in previous Textbook lessons. If it is a word problem and they missed a step, I go back to asking them "what is the problem asking" and "does your answer, answer the question". This usually makes it clear the missed a step.
I'm sorry this got so long, but I am wowed by Singapore math. I was on countless Math Textbook selection committees back when I was teaching in ps - how I wish Singapore math had been a choice on the table back then - though not having taught it yet, maybe I wouldn't have recognized its potential. Anyway, I hope some of these tips can help, but the best thing I have done is followed and learned the Singapore way of doing things... and stopped shouting out my little "tips" for doing things in shortcuts... they're not helpful. Go figure - Singapore doesn't need the addition of my tips?!?
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Once I got out of the way, Singapore was amazing.
abrightmom - I just wanted to thank you for your encouraging words to me on the end of another thread that I cannot find back. I remember reading those words on a night I was a little discouraged, and they just lifted me up so much. Words have such an impact on a person's thinking and "heart" well-being - thanks for filling mine with good thoughts and a happy heart - your words came at the right time.
In Christ,
Julie