problemproblems.wordpress.com
8. “We’re taking it away from one side and putting it on the other.” – Teaching With Problems
https://problemproblems.wordpress.com/2015/08/14/8-were-taking-it-away-from-one-side-and-putting-it-on-the-other
Essay on Cognitive Load Theory. My First Blog (2010-2015). 8 “We’re taking it away from one side and putting it on the other.”. August 14, 2015. In the video above, the student describes adding 4 to both sides as “taking the 4 away from one side and putting it on the other.” This is difference then “balance reasoning” or using the subtraction property of equations. Where does this “Give and Take” model come from? The “give and take” model is a way of seeing equation-moves. It helps make s...Maybe not....
problemproblems.wordpress.com
Teaching With Problems – Page 2
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Essay on Cognitive Load Theory. My First Blog (2010-2015). A Difference Between a Number Talk and a Number String. October 14, 2016. Suppose you’re working on adding multiples of 10 with your 3rd Graders. (Suppose, further, that you should be planning that lesson instead of writing a blog post. This will only take a second though, I swear! Here’s the thought. A lot of kids have trouble with 67 40 but can handle it without trouble if you encourage them to add a bunch of 10s. Rolling out in time. Somewhere...
tothereal.wordpress.com
…to the real. | There will never be a just social order until philosophers are kings, or kings become philosophers. | Page 2
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8230;to the real. There will never be a just social order until philosophers are kings, or kings become philosophers. Newer posts →. Should we bring back grammars? August 22, 2016. I found myself reading over many articles on the issue this morning, and just wanted to throw another voice into the mix. I won’t say much, because better people have already said it better than I could – and I’ll link to them in a bit – but I want to highlight this one graph out of all the others. The graph is taken from here.
problemproblems.wordpress.com
1. How do kids think about solving equations? – Teaching With Problems
https://problemproblems.wordpress.com/2015/08/04/1-how-do-kids-think-about-solving-equations
Essay on Cognitive Load Theory. My First Blog (2010-2015). 1 How do kids think about solving equations? August 4, 2015. I want to get ready for the school year. I’ll be teaching Algebra 1, and that’s where solving equations happens. These skills are seriously useful, so I want to do right by my students. I want to teach this topic well. Actually, there are a few different ways of wording this question I might focus on. How do kids think about solving equation problems? I think I’m interested in ans...
problemproblems.wordpress.com
August 2015 – Teaching With Problems
https://problemproblems.wordpress.com/2015/08
Essay on Cognitive Load Theory. My First Blog (2010-2015). 9 How do kids think about solving equations? August 20, 2015. The last 8 posts in this series have been about working through different aspects of how kids might think about solving linear equations. In this post I want to try to synthesize what I now know about all this and ask some questions that I don’t yet know the answers to. In the previous posts, I looked at problem types that differed along the structure of the equation:. Ax b = cx d.
problemproblems.wordpress.com
7. How kids might think about different types of equations – Teaching With Problems
https://problemproblems.wordpress.com/2015/08/10/7-how-kids-might-think-about-different-types-of-equations
Essay on Cognitive Load Theory. My First Blog (2010-2015). 7 How kids might think about different types of equations. August 10, 2015. I think what is really becoming clear to me is that the real work I have to do is in clarifying how kids can make sense of equations that go beyond the simplest cases. The simplest cases are ax b = c. And ax b = cx d. Things get more complex with equations of the type c x (ax b) = d. B – ax = c. I don’t know whether it’s worth it to identify b- ax = c /- dx. Though, come ...
problemproblems.wordpress.com
3. How do kids think about “pick a number” problems? – Teaching With Problems
https://problemproblems.wordpress.com/2015/08/05/3-how-do-kids-think-about-pick-a-number-problems
Essay on Cognitive Load Theory. My First Blog (2010-2015). 3 How do kids think about “pick a number” problems? August 5, 2015. August 5, 2015. Source: http:/ algebra.mrmeyer.com/. I want to help students move from guess-and-check to using equality properties in the equation work. There are some problems that might be helpful in this work — like balance problems. What other problems might be helpful? 8220;Closed number tricks”? I’d like to get precise about what makes pick a number problems promisin...
problemproblems.wordpress.com
6. Equation Strings – Teaching With Problems
https://problemproblems.wordpress.com/2015/08/10/6-equation-strings/comment-page-1
Essay on Cognitive Load Theory. My First Blog (2010-2015). August 10, 2015. August 10, 2015. From http:/ numberstrings.com/2015/01/30/true-or-false-can-a-number-string-develop-relational-thinking/. Other people talk about number strings. Whatever you call them, these are helpful for my arithmetic teaching for three reasons:. Students are likely to come up with different strategies for these problems, and this gives students a chance to contrast other strategies with their own. I think this helps kids...
problemproblems.wordpress.com
About – Teaching With Problems
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Essay on Cognitive Load Theory. My First Blog (2010-2015). This is Michael Pershan’s blog about teaching. It’s my second blog (check out the links above). If you want to know what I was thinking when I started the blog, check the crossed-out text below. This blog represents my (i.e. Michael Pershan. 8216;s) project to improve my teaching and understanding of problem solving. The project, as I’m formulating it at the start (these things always change) involves three related questions. You are commenting u...
problemproblems.wordpress.com
2. How do kids think about balance problems? – Teaching With Problems
https://problemproblems.wordpress.com/2015/08/04/2-how-do-kids-think-about-balance-problems
Essay on Cognitive Load Theory. My First Blog (2010-2015). 2 How do kids think about balance problems? August 4, 2015. August 5, 2015. When I teach students to solve linear equations, I’m aiming to help move them from guess-and-check to using the properties of equality. I’m in search of the ways of thinking that could help students move towards the more sophisticated techniques. Balance problems (i.e. mobile problems. And, in fact, there is a special way of thinking that balance problems allow for. I...
