hsing1 Posted March 23, 2009 Share Posted March 23, 2009 How would you read: 4 x3 The reason I ask is that I would read it "4 times 3" where our math curriculum says it should be "3 times 4". (And would be considered 3 sets of 4 each). Quote Link to comment Share on other sites More sharing options...
skaterbabs Posted March 23, 2009 Share Posted March 23, 2009 IMO: Four times three is equal to (or the same as) three times four. Either way you get twelve. I'm not sure it really matters unless you have a child who just doesn't understand the concept of HOW multiplication works. Quote Link to comment Share on other sites More sharing options...
MamaT Posted March 23, 2009 Share Posted March 23, 2009 I don't know if it matters either way, but I would read it bottom to top. Quote Link to comment Share on other sites More sharing options...
Capt_Uhura Posted March 23, 2009 Share Posted March 23, 2009 Programs do it different ways. As others have pointed out, if you understand commutative property and what multiplication means, it doesn't matter in the end. However, in RS for example, it may ask DC to give an array 5x3 which is 3 rows of 5 and not 5 rows of 3. RS interprets 5x3 as 5 taken 3 times. It is the reverse in Singapore Math. 5x3 would be 5 sets of 3 so you'd get a different array. Yes they are the same if you turn the page 90. I can't remember exactly but I believe RS said it does 5x3 as 5 taken 3 times b/c it transfers later to coordinates where you're reading x,y ie it's the horizontal axis first and then the vertical direction so 5x3 is 5 rows (horizontal) taken 3 times (vertical). I think that's what it said but I could be dreaming. Anyone feel free to correct me. I thought of it as 5 sets of 3 so it took some retraining for me to do it the RS way but the RS way seems very intuitive to my boys. I don't think it matters as long as you're consistent. Quote Link to comment Share on other sites More sharing options...
Peggy in Va Posted March 23, 2009 Share Posted March 23, 2009 :iagree: I would read it as 4 times 3. I can see what they're saying - if you stress the "times" and maybe pause after the 4 - like 4 (pause) times 3. When my dss were that age I just told them that the "x" meant groups of. So I would read that as 4 groups of 3. Bottom lilne - I don't know that it matters unless you're arranging rows of chairs or something. However, someone more "mathy" might have a different opinion. Good luck Peggy Quote Link to comment Share on other sites More sharing options...
sixpence1978 Posted March 23, 2009 Share Posted March 23, 2009 Our math teaches it that way. I just told my DS that it really didn't matter (we went over the commutative property) but that I always read it from top down. I think like a PP said, this comes up more in math programs that teach a lot more conceptually so they are trying to emphasize that. But I just crossed those "tips" off our worksheets. Quote Link to comment Share on other sites More sharing options...
abbeyej Posted March 23, 2009 Share Posted March 23, 2009 I would read top to bottom because if they were doing subtraction or division, it *would* matter. Obviously, we also discuss which operations are commutative and which are not (and why), but in reading problems like that, I would absolutely read top-to-bottom because that's a habit I want in-grained. Quote Link to comment Share on other sites More sharing options...
Targhee Posted March 24, 2009 Share Posted March 24, 2009 The real question is how you read this 4 - 3 Because 4 minus three is different than three minus 4. I read it 4 minus three (likewise I read it 4 times 3). Quote Link to comment Share on other sites More sharing options...
MSherman Posted March 24, 2009 Share Posted March 24, 2009 :iagree: I would read it 4 times 3. Quote Link to comment Share on other sites More sharing options...
ELaurie Posted March 24, 2009 Share Posted March 24, 2009 4 x 3, but if I had to guess, I would say that it is taught this way to prepare your dc for multiple digit multiplication later, which is read from bottom to top. For example, when multiplying 236 x 21, I would begin by saying 1 x 6, then 1 x 3 (or, to be accurate, 1 x 30) and so on. Quote Link to comment Share on other sites More sharing options...
mcconnellboys Posted March 24, 2009 Share Posted March 24, 2009 It really doesn't matter as multiplication is commutative and so you can read it either way: four sets of 3 or three sets of 4. They both equal the same thing. Quote Link to comment Share on other sites More sharing options...
CatMomof3 Posted March 24, 2009 Share Posted March 24, 2009 I would read it 4 three times. But that is just me. Alison Quote Link to comment Share on other sites More sharing options...
dragons in the flower bed Posted March 24, 2009 Share Posted March 24, 2009 How would you read: 4 x3 The reason I ask is that I would read it "4 times 3" where our math curriculum says it should be "3 times 4". (And would be considered 3 sets of 4 each). I would read it as three times four, but a year ago I would not have. Turns out for some kids it's a pain to relearn to read multiplication problems from the bottom right hand corner up & outwards when they get to multiple digit multiplication. My eight-year-old is one of those kids. (My eleven-year-old wasn't and we did it the other way, as I had learned it in school.) Quote Link to comment Share on other sites More sharing options...
joannqn Posted March 24, 2009 Share Posted March 24, 2009 I would read it as 4 times 3 but explain that it means four counted 3 times. Quote Link to comment Share on other sites More sharing options...
Spy Car Posted March 24, 2009 Share Posted March 24, 2009 The real question is how you read this 4 - 3 Because 4 minus three is different than three minus 4. I read it 4 minus three (likewise I read it 4 times 3). On the other hand, we could look the the equation as the sum of (4) and (-3), and that would be "communicative" as it equals the sum of (-3) and (4). Bill Quote Link to comment Share on other sites More sharing options...
Reya Posted March 24, 2009 Share Posted March 24, 2009 How would you read: 4 x3 The reason I ask is that I would read it "4 times 3" where our math curriculum says it should be "3 times 4". (And would be considered 3 sets of 4 each). You are correct, the curriculum wrong. That is bizarre. May I ask which curriculum? Quote Link to comment Share on other sites More sharing options...
dirty ethel rackham Posted March 24, 2009 Share Posted March 24, 2009 On the other hand, we could look the the equation as the sum of (4) and (-3), and that would be "communicative" as it equals the sum of (-3) and (4). Bill There you go, Bill ... Getting all Mathy on us now. (BTW, I agree.) Quote Link to comment Share on other sites More sharing options...
Susie in MS Posted March 24, 2009 Share Posted March 24, 2009 I read that in the R&S 3rd grade text last night and had to go :confused: I showed it to my 21 yo dd and her reply was, "Ooookay. Whatever." It doesn't matter. Quote Link to comment Share on other sites More sharing options...
ELaurie Posted March 24, 2009 Share Posted March 24, 2009 You are correct, the curriculum wrong. That is bizarre. May I ask which curriculum? My take on this is that her math program simply uses a different approach. While I would most likely read it 4 times 3 as well, some math programs teach students to read from the bottom up (3 x 4) in preparation for multiple digit multiplication later on. For example, when multiplying 224 x 23, one would begin with 3 x 4 and proceed from there. Quote Link to comment Share on other sites More sharing options...
SnowWhite Posted March 24, 2009 Share Posted March 24, 2009 Right... I noticed that in our curriculum as well and realized EXACTLY why they do it. For the same reason that children must ALWAYS add starting on the right side, then moving left, even before they rename/regroup/carry. Teach the proper order and direction of thought in the beginning to avoid confusion later. Quote Link to comment Share on other sites More sharing options...
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