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Can you do the "new math"?

  1. Mrs. Lion

    blogger / grapefruit / 4836 posts

    @blackbird: exactly this

    I don't have a problem with the new way. It teaches kids to understand math, not just follow a formula. If kids had been taught this way all along I don't think there would be nearly the struggle. But when I tutor middle school students who can't remember how to correctly "borrow" it only proves the need for a different way of thinking. Kids dont remember the algorhythms because they never understood them in the first place.

    Parents are frustrated because they don't get it...but again, the fact that most parents don't get it only speaks to the need for teaching the next generation differently so that they do have a deep understanding of how our number system works.

    I really wish they had phased common core in, starting with kindergarten, and allowed students and teachers to adjust more naturally to the new methods. I think this would have prevented the majority of problems families are having.

  2. erinpye

    pomegranate / 3706 posts

    I'm 30 and that's how I learned it...I don't think this is the "new math" people are talking about.

  3. Applesandbananas

    pomegranate / 3845 posts

    I was encouraged to learn the logic, not to just memorize, because the logic of a concept can be applied to many situations, but memorizing something means you'll probably just forget it! I think that's what common core is getting at!

  4. jedeve

    pomegranate / 3643 posts

    I get the change analogy and really I think that makes so much more sense. I'm really pretty good at math, but for the life of me I can't borrow or "carry the one" in my head. I remember explaining to my fifth grade teachers own method thinking it was do much easier and her saying I was wrong.

    Really everyone's brains process math differently and we should just teach kids in a way that helps them figure it out for themselves.

  5. rrachael

    kiwi / 506 posts

    @blackbird: I totally agree with everything you've said. People response on here makes me so hopeful as a teacher. Facebook is full of these "engineer dad" posts and they just spread misconceptions and ridiculousness. SO many adults hate math. SO many kids hate math. And, fwiw, most parents couldn't help their kids with math beyond third grade doing it "the old way" either. New does not equal bad ... I really think people will start changing their minds when their kids are getting excited while explaining all the different ways they can solve a simple problem.

  6. farawayyama

    kiwi / 556 posts

    @snickers: I love the Numeracy Project. I'm a NZ trained teacher, currently doing my masters thesis on issues related to mathematics in NZ and the USA (and ELLS - it all ties together somehow ). I know I am blatantly biased, having taught using Numpr, but it is definately the one I prefer, although the shift toward conceptual understanding here in the US is a huge step in the right direction.

    ETA: What frustrates me about the engineering dad is that he misses the point entirely. His child wasn't asked to solve the problem, he was asked to identify an error. Outside of the fact that it a way of developing and assessing his understanding of mathematical concepts, figuring out where errors happened, why they happened and fixing them is a really important skill in all professions, especially engineering!

  7. erinpye

    pomegranate / 3706 posts

    Speaking of math and how it's taught, I watched this recently and found it super interesting:


  8. Mrs.Pinecone316

    persimmon / 1316 posts

    I am hoping they will go back to the old way by the time my kids are learning Math. That all seems so confusing!

  9. anandam

    kiwi / 687 posts

    Are kids really learning to do math in base systems other than 10? That's pretty cool if you ask me. I'm comfortable with math and was pretty confused when we started dealing with that in high school, so I'm all for it! I like the idea of playing with the numbers many different ways instead of fearing them, but I hope teachers remain open to whatever method works for the individual.

  10. mrbee

    admin / wonderful grape / 20724 posts

    @anandam: We had to learn other base systems in 6th grade... it seemed ridiculously impractical at the time, but was useful later in life! (Mostly, base two.)

  11. Mrs. Lion

    blogger / grapefruit / 4836 posts

    @anandam: I learned how to do this in college (it totally blew my mind then!!) but I have never seen it taught to students here. Interesting!

  12. Mrs.KMM

    grapefruit / 4355 posts

    My issue with the "new math" (and this info comes straight from an elementary school teacher having to teach it) is that, when it comes to all the new testing for common core, students HAVE to use this method to solve the math problems. So even if another perfectly acceptable and correct method makes more sense to them and their minds and learning styles, they are wrong if they don't use (and show) these techniques.

  13. erinpye

    pomegranate / 3706 posts

    @Mrs.KMM: I hate that. I would be 100% for a method that allowed kids to do math in a way that they felt comfortable, and that made sense to them. For me, touting that the new way is "creative," yet not allowing kids to be creative outside this one way, discredits it as such. The core of being creative is thinking outside the box, not being restricted to thinking one way.

  14. Mrs. Lion

    blogger / grapefruit / 4836 posts

    @erinpye: @Mrs.KMM: My understanding of Common Core is that it teaches kids multiple ways and encourages solving a problem and being able to thoroughly explain how you arrived at the solution, with the focus being on the explanation of how more so than just following a formula/algorithm.

  15. erinpye

    pomegranate / 3706 posts

    @Mrs. Lion: what @Mrs.KMM said, and what I've also heard from others, is work must be shown utilizing the new math processes. So what happens to the kid who does math in her head, or prefers the "old" way, or another way entirely? From what I've heard, those kids get marked incorrect, even if the answer is correct, if they can't show the new math process. I'm not an expert, maybe this isn't the case at all?

  16. blackbird

    wonderful grape / 20453 posts

    You have to show your work in upper level math, too, even if you can do some of it in your head. And are often instructed to utilize certain methods. I don't think it's weird that it's trickling down to the more basic coursework.

  17. Mrs. Lion

    blogger / grapefruit / 4836 posts

    @erinpye: I guess that is true, but not because they aren't doing "new math". The new methods aren't really new. They are just representations of the math that show a deeper understanding of how the numbers work, which is the goal. Eventually if a child wants to choose a shortcut method that is fine, because they would have already built a solid understanding. But the whole "I did it in my head" explanation is exactly what we are trying to get away from. I want ny students to be able to articulate why their solution is correct and how they got there mathematically. The shortcuts don't teach the reasoning, but the new strategies do. Do I want 4th graders using the "new" first grade subtracting strategies? No, of course not. But I would like for them to be able to tell me why "borrowing" works, which is something that most kids who only learn the algorithm can't do.

  18. Mrs.KMM

    grapefruit / 4355 posts

    @Mrs. Lion: My elementary school teacher friend says that they still teach them multiple methods but that when it comes to the testing, they have to show the "common core method" work or they get marked wrong. Even if they show other perfectly correct work and have the right answer.

  19. erinpye

    pomegranate / 3706 posts

    @Mrs. Lion: I feel that that's problematic. It's frustrating and tedious to write out something, a specific way, when it seems obvious, and the new math way doesn't seem so, to people who think in different ways. How is that fair? Who's to say that a specific kind of written work, or any at all, shows a deep understanding? Plenty of people can do extremely complex problems in their heads, and they don't lack deep understanding. This is saying "you must prove to me my way, that you understand it my way."

  20. Mrs. Lion

    blogger / grapefruit / 4836 posts

    @Mrs.KMM: I am not familiar with this type of testing, so I can't speak to that specifically. I can see why that would be frustrating, but I can also see that in certain situations it would be necessary. I have heard awful things about the testing though, so I would lean more toward frustrating

    @erinpye: I have to completely disagree...I have never met a child who could do complicated math problems in their head and yet couldn't explain how they arrived at the answer. This kind of "doing it in my head" problem solving is extremely problematic in the early years, because often math problems up until 4th grade or so CAN be done in a student's head (some students anyway). The problem is more one of habit. These students get overly confident in their ability to do problems "in their head" and refuse to start showing work and explaining their answers as they enter middle school, and at that point they no longer CAN just solve them in their heads. We aren't talking about adults here...we are talking about kids, who also need to learn healthy learning habits at a younger age that will serve them as they get older.

    As far as the new methods go, we intentionally teach these BEFORE teaching the "old" methods, because these strategies encourage kids to understand how the numbers work. Later, once students show understanding, we teach the algorithm, usually in the following grade level. So students really shouldn't even be exposed to the "shortcut" methods until they have a very firm understanding of the math behind it, at which time explaining the more tedious methods should really not be difficult.

  21. meganmp

    persimmon / 1420 posts

    @Mrs.KMM: From the CCSS, 4th grade: Find whole number quotients and remainders with up to four digit dividends and one digit divisors, using strategies based on place value, the properties of operations and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models (4.NBT.B.6)

    In other words, solve a division problem using place value as your guide, and then show how you did it in a way that makes sense. No where in the CCSS does it say you have to use some funky thing- well, at least in the upper elementary grades. I haven't explored the standards for the little guys too deeply, so primary teachers can correct me if I'm wrong. In 4th grade, for example, it wants them to do the standard algorithm, which I think most people who are anti "new math" would agree with.

    .@erinpye: Where kids get it wrong is when they don't justify their answers. Yeah, we don't need 12 year olds to prove to us that 4+6=10 by drawing out little dots, but they do need to include the fact that they solved 4+6=10 as opposed to just writing 10 on their papers.

    I wish I could have all of those opposed to different methods of solving math problems come in to my class to see what these kiddos are capable of- it's fantastic to see the change in abilities that has occurred over the last 10 years, despite what the test scores show.

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