I made it up on the spot with my class of second graders to demonstrate how to use Polya's Problem Solving Steps. Two bars could be drawn: 1 representing 20, and the other in half.
Then, that half could be divided into two and numbers written on each bar to represent the whole.
I told her, “mom, the day I become good at math, pigs will fly.” I think pigs just flew.
my mom always told me that one day I would be good at math.
I read tons of reviews, all with five stars, saying this app saved lives.
To test it, I wrote 2 2 in a shimmery purple jell pen on the back of my hand in the dark (not pitch black but lights off blinds closed in the morning) and it was like oh yeah two plus two is four voilaaaa!!!!! either I died or the world was enchanted with a magical spell cuz I am actually looking forward to doing my homework on Monday. Before I did not get math and I had to get my older sister to tutor me but she will be off to college soon and I will be left tutorless. I was homeschooled (that's not the confession part), and in 8th grade my algebra textbook had the answers to half the problems in the back. That seems to be the premise behind app called Socratic. The app lets you take a picture of a problem (you can also type it in, but that's a little laborious), and it'll not only give you an answer, but the steps necessary to to arrive at that answer — and even detailed explanations of the steps and concepts if you need them. Of course, cheating at math is a terrible way to learn, because the whole point isn't to know the answer to 2x 2 = 7x - 5, it's to understand the learn?If you are preparing for STEP, it makes sense that some of these problems should be STEP questions, but to start off with it's worth spending time looking at problems from other sources.This collection of NRICH problems is designed for younger students, but it's very worthwhile having a go at a few to practise the problem-solving technique in a context where the mathematics should be straightforward to you.We also want to engage our students in real-life mathematical situations (problems they likely will encounter in everyday situations). Determine what the question is asking you to actually do. Is there another way to solve the problem or show your answer differently? In order to understand it, we have to realize that the herd is much larger than at the beginning of the problem. Using the Model method, the students should draw what they know and what they are attempting to solve. To have a classroom that is truly focused on math problem solving, a teacher must let the students do the talking and take initiative in leading discussions. That would signal the possibility to use addition or multiplication. I like the Socratic interface and explanations a bit better, but I'm glad to see this is a vibrant market.Exercises are chosen with the goal of either teaching a strategy or practicing a technique to mastery. Decide if there are multiple steps that will need to be taken to arrive at the final answer. There are a lot of computer-based algebra solvers out there, but for Socratic they had to do some extra engineering to get at the steps a human would need to solve the same problem.Also, I'd be remiss not to mention Photomath, which has been doing this since 2014, and actually has step-by-step explanations in the recently released Photomath paid version (there's a free trial).