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My district has adopted Glencoe Math Course 1 and I need some help getting started. We didn't get any training and all of the resources online are almost too mind boggling. Any advice would be much appreciated.
is always good teaching no matter what textbook. program, or online resources there are. All that stuff is just there to support your own good teaching There is no law that you even have to use them to have good teaching occur (although granted, you may have pressure from above to use some of the stuff). Explore the resources gradually so you don't take away too much time or energy from your good teaching, and then as you see a resource you think might be helpful introduce it gradually.
Considering thatOn 9/04/14, Annie Harlow wrote: > Hi all! Wondering if any math teachers have adapted the free > program TenMarks? I hear good things but am nervous to > change my classroom!
there is a "premium" version that costs $20 per student the free version sounds like a come-on.
Has anyone taught using Engage NY Math? Our corporation just told us that we are to start using this program, but there is no evidence given to us that supports the effects of teaching this way. Any help would be appreciated! Jessica/1st/Indiana
just like all of the other programs ou...See MoreOn 9/04/14, Jessica wrote: > Has anyone taught using Engage NY Math? Our corporation > just told us that we are to start using this program, but > there is no evidence given to us that supports the > effects of teaching this way. Any help would be > appreciated! > Jessica/1st/Indiana
just like all of the other programs out there. There is precious little (if any) evidence showing the efficacy of any of them.
It is the elusive, but incredibly lucrative (at least for the consultants and publishers) search for the magic bullet that will make math fun and easy. But just as Ponce de Leon found there was no fountain of youth, there is no magic bullet for math.
Or, as Euclid told King Ptolemy, there is no Royal Road to geometry (or, by extension, all of mathematics).
This is my first year using Glencoe Math Course 1. I am looking for suggestions on how to use this curriculum. How do you fit all of the components into a 50 minute period? How often do you use laptops with the lessons? Thanks!
For example, I'm doing the Quotient Rule in a math forum and some student will stop me and ask how I got the answer. So, I go over it again very, very carefully. And he says, "Well, I was never good at fractions." I really hate when people think this is a good excuse. People just love to BRAG about their ignorance.
Someone else will say, "I can't spell!" And a hundred others will shout, "Me too!" Someone is giving you directions to his house. And you say, "Can you draw me a map?" His answer: "Me? I can't draw a straight line!"
Someone asks "Do you know the song God Bless America?" You say, "Can you hum a little of it?" He says, "Me? I can't carry a tune!"
Same with certain activities: spelling, drawing, singing, and MATH (word problems, fractions), everyone is willing to shout to the whole world how much they do not know or forgot. Why is that?
But there are things we would NOT admit to. Imagine a man saying, "I can't change a light bulb." Or woman saying, "I don't know how to braid hair."
There is no excuse for people having a high school diploma to not know the basics of fractions. Trust me, if you can add (1/2) + (1/4), you should be able to add (1/a) + (1/b). The same fractional rules apply in both cases.
I answer math questions everyday in various online forums. I cannot believe how many students are about to graduate from high school with little to no idea what a fraction is really all about. My Tip: If you cannot define what a fraction is, please do not step into calculus 1. Your experience in calculus 1 will be painfully embarrassing.
harpazoOn 8/21/14, Actually wrote: > On 8/19/14, harpazo wrote: > >> There is no excuse for people >> having a high school diploma to >> not know the basics of fractions. >> Trust me, if you can add (1/2) + >> (1/4), you should be able to add >> (1/a) + (1/b). The same fractional >> rules apply in both cases...See MoreOn 8/21/14, Actually wrote: > On 8/19/14, harpazo wrote: > >> There is no excuse for people >> having a high school diploma to >> not know the basics of fractions. >> Trust me, if you can add (1/2) + >> (1/4), you should be able to add >> (1/a) + (1/b). The same fractional >> rules apply in both cases. > > the way we each fractions they would not be done using the > same mathematical process. > > For 1/4 plus 1/2 we tell the kids not only that they need a > common denominator but they need the SMALLEST common > denominator. Why? I have no idea. So they would change this > problem to 1/4 plus 2/4 and get the answer 3/4. > > Now we give them 1/a plus 1/b and they have no way of finding > the LOWEST common denominator, since a and b are not nown > naturals. And so they need to use a different process - a > better and more general process. One that will work for > adding ANY 2 fractions regardless of whether the denominators > are naturals, integers, rational, reals, imaginaries, complex > numbers, variables, and variable expressions. > > That other practice is actually how I was first taught to add > fractions. You forget about the Lowest common denominator, > because when it comes down to it that is just a trick, and > instead you use what I like to call the natural common > denominator, which is simply the product of the 2 > denominators. So adding fractions becomes: > > a/b + c/d = (ad+bc)/bd. No matter what a, b, c, and d are > this works. AND can be easily explained using area models or > other methods. AND can be easily justified. > > Now I wasn't presented it this way with letters back in > elementary school. We worked up to it and used a mnemonic > device, criss cross across, to help remember it. But them > when I had to deal with the more complex rational expressions > that come up in algebra and beyond I just had to do the exact > same thing I did to add 1/2 plus 1/4, whereas those who are > taught the lowest common denominator method now have to learn > a different way of doing it. > > Amazingly, when I teach this to kids who have gone years > without being able to add fractions they both are able to do > it successfully and well, they say "this is so much easier". > Of course I didn't teach it that way because it was easier, I > teach it this way because it is is sound and will work for any > math they take in the future. And the best thing is that the > teachers that have them the next year are surprised at how > well they do to adding fractions and can transfer that to > adding more complex rational expressions. > > But even this misses the real problem. Students hate > fractions because way too many elementary teachers hate > fractions. In fact the mathematical deficiencies are so > widespread in elementary school math instruction that we > really need, at some point, to bite the bullet and have math > specialists teaching elementary math, IMO. > > They do not need to be math majors like you and me, but they > need to be people who have what Liping Ma calls a profound > understanding of elementary math. Elementary does not mean > simple. There is a lot of theory that the teacher needs to > know in order to build a foundation for the future. Just as a > solid understanding of upper division level abstract algebra > is, IMO, necessary for someone teaching algebra 1. > > We need people who see how 1st grade math is the beginning of > building a foundation, not just getting the kids through this > year's stuff any which way they can. Elementary kids have > come to me for years with all kinds of tricks they were taught > which end up doing way more damage than anything else (pemdas > being a prime example).
Let me see.
1/a + 1/b =
LCD is ab.
Then ab/a = b and then b times 1 = b.
Moving on, we then say ab/b = a times 1 = a.
Our numerator is (b + a) or (a + b).
The denominator is our LCD in this case.
Final answer is (a + b)/ab or (b + a)/ab.
I used the same rules for adding two regular fractions.
You have no idea whether ab is the LCD or not (a and b could be 4 and 6 - ab would be 24 but the lcd would be 12). Which is kind of the point. ab may not be the lowest common denominator, but it most certainly will always be a common denominator.
> Then ab/a = b and then b times 1 = b. > > Moving on, we then say ab/b = a times 1 = a. > > Our numerator is (b + a) or (a + b). > > The denominator is our LCD in this case. > > Final answer is (a + b)/ab or (b + a)/ab. > > I used the same rules for adding two regular fractions.
OK, but that is just the special case for adding 2 fractions both of whose numerators are 1. Why not just subsume that in the more general:
From past experience, this kind of assignment is challenging. I did several years of resource for 7th and 8th graders, although I did not have the luxury of the minuscule classes you have. The biggest problem is all the BS they teach you in teacher training. It barely works with regular classes and not at all with classes like this. These are kids with history of non-achievement and, usually, non-compliance. Teaching approaches which assume that these kids will be able to work independently are doomed, because they can't or won't. Don't worry about doing the latest and greatest (most of which is completely unproven). Worry about getting the kids to learn. You will be teaching them HOW to LEARN math as much as you will be teaching them math.
The next biggest problem is that at this point in their mathematical career the biggest thing these kids have "learned" is that they cannot learn math. It is not true, of course, but THAT is what their last 6 years in school has taught them. And you have to break down that wall before real learning will occur. Giving them more of the educational flavor of the month which, in large measure, is how they got this way, is going to do nothing for them.
Classroom management demands of a class like this are different than those of higher level classes. I've always found, both for myself and my colleagues, that the people who were most successful with this type of class were the ones who were very organized, very structured, and very encouraging. Lots of in-class practice because they will not, generally, do much HW. The only way to really learn math is to do problems.
harpazoOn 8/22/14, Tough assignment wrote: > On 8/21/14, First year wrote: >> >> Hello everyone, >> I will be teaching a 7th grade pre algebra resource class >> of 10 boys half of which are at a fourth/ fifth grade level. >> As well an 8th grade algebra 1 (part 1) resource class for >> a class of 6 boys. Could anyone...See MoreOn 8/22/14, Tough assignment wrote: > On 8/21/14, First year wrote: >> >> Hello everyone, >> I will be teaching a 7th grade pre algebra resource class >> of 10 boys half of which are at a fourth/ fifth grade level. >> As well an 8th grade algebra 1 (part 1) resource class for >> a class of 6 boys. Could anyone share suggestions/ideas >> on classroom management. I was thinking of teaching >> each class using a rotation through math centers. Each >> class is 70 minutes. I will have a smartboard. My >> classroom is just big enough for 10-12 student desk. I >> was thinking about incorporating interactive notebooks as >> well as signing all the students up with mobymax.com. Is >> anyone currently using either interactive student >> notebooks or mobymax that could share some feedback. >> Any advise that can be shared that would help make this >> first year manageable would be great. >> Thank you. > > From past experience, this kind of assignment is challenging. > I did several years of resource for 7th and 8th graders, > although I did not have the luxury of the minuscule classes > you have. The biggest problem is all the BS they teach you in > teacher training. It barely works with regular classes and > not at all with classes like this. These are kids with > history of non-achievement and, usually, non-compliance. > Teaching approaches which assume that these kids will be able > to work independently are doomed, because they can't or won't. > Don't worry about doing the latest and greatest (most of which > is completely unproven). Worry about getting the kids to > learn. You will be teaching them HOW to LEARN math as much as > you will be teaching them math. > > The next biggest problem is that at this point in their > mathematical career the biggest thing these kids have > "learned" is that they cannot learn math. It is not true, of > course, but THAT is what their last 6 years in school has > taught them. And you have to break down that wall before real > learning will occur. Giving them more of the educational > flavor of the month which, in large measure, is how they got > this way, is going to do nothing for them. > > Classroom management demands of a class like this are > different than those of higher level classes. I've always > found, both for myself and my colleagues, that the people who > were most successful with this type of class were the ones who > were very organized, very structured, and very encouraging. > Lots of in-class practice because they will not, generally, do > much HW. The only way to really learn math is to do problems.
I find that classroom management cannot be learned in school. Managing students is not the same at all levels. However, it all depends on your interactions with students. Personality plays a big role when it comes to classroom management.
Any specific questions? Which edition are you using? I have been using Glencoe Ma...See More