Solving Equations Problems Business Plan For Software Startup
This project quickly began to question its own legitimacy. What do we mean by “conception” or “misconception”? Lately, I’ve been coming to doubt a lot of the power of conceptions to explain mathematical thinking.But this is definitely not something I’m sure about, and a recent conversation with Kent and Avery made me even less sure of myself.Undoubtedly, it’s true that students would benefit from seeing a 3 as a composite object.But it seems to me a bit like cheating to say that this has to do with seeing the equals sign as the “do something signal.” The issue isn’t so much the equals sign as a signal, the issue is that The reason why kids read the equality as “do something” is, I think, plausibly explained by their reading of “a 3” as “a mystery number plus 3” instead of “the composite expression a 3,” which would indicate the more sophisticated understanding And what of Carpenter?This passage summarizes two possibilities from Kieran and Carpenter.If students had a relational view of equality, this would be better. Then these students would see a 3 = 10 as saying that “a 3” has the same value as “10.” They would treat “a 3” as a complex algebraic object, not as a variable with an operation.He says that kids with a “do something” conception should have trouble with solving 5x 32 = 97 by subtracting 32 from both sides.“What kind of meaning can students who exhibit misconceptions about the equals sign attribute to this equation? “Virtually all manipulations on equations require understanding that the equal sign represents a relation.” I’m stumped as to why he says this.
“These findings suggest that understanding the equal sign is a pivotal aspect of success in solving algebraic equations.” The authors ask, “Does understanding the equal sign matter?
I wondered: what would happened if I read this piece through the lens of my new worries? Much more useful for algebra is the “relational view,” the more sophisticated idea that what’s to the left and right of an equal sign must be of the same numerical value.
So, why does seeing the equal sign as a “do something signal” matter for algebra?
I think they’re saying that the equal sign literally tells you to do something” conception.) And what about the research article itself?
It aims to give evidence to support Carpenter’s contention.