Exactly this. When DS was in second grade I only cared that he understood that, say, 47 plus 28 make 75. I didn’t care if he couldn’t answer specific questions about place values. I needed him to understand that it’s 40 plus 20 plus 15 (and the matter is 10 plus 5). We need to put oranges together with oranges (the tens) and apples together with apples (the ones). |
DP. I gave my child permission to skip it and just write the answer. If he could explain how he did it it was a bonus. But I didn’t require it. Teachers gave us a hard time, I apologized and said we’d work on it but didn’t |
At this point I showed my kid the “secret” strategy of standard algorithm. The key is to be very clear aligning the numbers on the right These are easy because there is no carry over. Now, carry over is a challenge but it can be done |
This! Anything that helps a child understand. |
Isn’t this the way they all teach? |
Yes! Put every value in its proper place! Then you don't need to worry about place value! |
Subtraction the left-to-Right Way https://www.mathatube.com/e-left-to-right-subtraction App https://idevbooks.com/apps/left-to-right_subtraction.php |
This. The "new" math is about getting a very good fundamental understanding of how numbers work and how you can operate with them. Not just the algorithm to solve a specific arithmetic thing. When you do mental math, do you imagine the numbers set up in the column and do the addition and the "carry over" or do you add up using the place values to get to the nearest 10 and then add the rest? |
A calculator or any computer uses binary, aka 1s and 0s. Feel free to work out 134 + 455 by converting it to 10000110 + 111000111. |
The teacher shouldn't be too rigid about it. Even if the curriculum has a lofty goal of making every student understand a dozen different ways of subtracting numbers, that's not what happens in practice. In practice, a handful of kids in the class (usually the ones who are labeled gifted and the ones whose parents have been accelerating them) will get all the different techniques, the rest will manage to pick up a couple of techniques. Whichever methods the teacher spends the most time on are the ones that will stick. Sometimes the teacher doesn't even have enough time to properly teach every single technique so they just focus on a few. Getting a tutor is overkill unless your child has a learning disability. |
I don't know Eureka Math, but if your child isn't understanding this use manipulatives or other visuals. Expecting them to track all that language mentally is silly. https://www.amazon.com/Didax-Educational-Resources-Unifix-Cubes/dp/B00TP1UA00 |