S. (n.d.). Ferb math [Digital image]. Retrieved September 23, 2018, from https://www.deviantart.com/shoyzzfanart/art/Ferb-math-255364862
The focus of our discussions this week tended to continue on making
mistakes, but also introduced the concept of math speed. There are many ways in
which students struggle with their ability to make mistakes and that does not
allow them to grow. With this in mind teachers should always strive to frame
their student’s mindset around seeking excellence but enjoying the learning
that comes from making a mistake. When a student makes a mistake its exciting
because that means they have more to learn. They have something new to discover
and they should follow that lead. On the premise of speed there needs to be an
emphasis on better understanding the problems which are talked about in
mathematics. Students need to know that not being quick at doing math does not
mean they are necessarily worse at it. It could just mean that they rather take a
look at all the angles of a problem before trying to solve. This does not mean
that having speed when solving problems is a bad thing, but it does mean that
students should not be punished for not being able to do their math problems in
time. When I was in high school there was always a teacher in our
mathematics class that would make tests very difficult because not a lot of
time was given for them. He would say "When you get to university you
won't have a lot of time on your exams, so you need to get good at doing math
quickly now". This was not the case when I went to university because math
turned into mathematical reasoning and solving proofs which meant that the
mechanical skill of solving math problems was less important then understanding
their logic and the mechanisms that made a math formula true. Every university
math exam I had was 3 hours and did not have to many questions. Not finishing
the test was never the problem, the ability to reason out and solve a couple of
difficult questions was more important in university then it was in High
school.
When I was researching a little bit about the topic of speed however I found a very interesting article on the topic. The article suggested that the using of an abacus to both demonstrate numbers visual and stimulate mental math were very helpful in having students become more efficient with their mathematics and have less anxiety when performing them (N, V., Perumalla, R., & M, N, 2018). Students, I would venture to guess, who have had more experience with numbers at an earlier age tend to be less anxious with mathematics as well as excel better when manipulating them. I think while it is important to focus on having students develop a deep understanding of mathematics and not be swayed by being slower at doing them, teachers should still hope to give students the tools to become more efficient in their mathematical ability. Yes, this might mean that students might miss some part of their development of mathematics, but for a majority of students the ability to do quick math is important and shouldn't be lost. Calculating your taxes, doing groceries, making a budget for yourself, buying t-shirts for your baseball team and calculating their cost are all regular math activities that do not require extensive math knowledge but rather math familiarity and speed. These are tasks that will help individual students take less time in their daily lives to perform these tasks, so I don't want to forgo mathematical speed altogether but understand the necessity to make it not the 'be all end all' of junior intermediate mathematical thinking.
N, V., Perumalla, R., & M, N. (2018). Effect of abacus training on maths anxiety.
National Journal of Physiology, Pharmacy and Pharmacology,8(6), 854.
doi:10.5455/njppp.2018.8.0204508022018
Hey Rob,
ReplyDeleteWhen you say "Students need to know that not being quick at doing math does not mean they are necessarily worse at it. It could just mean that they rather take a look at all the angles of a problem," I could not agree more. Students need the time to completely explore the problem instead of rushing through it. When they take more time, they can get a more concrete understanding of the problem itself. Then when they become so comfortable with that strand or topic they will be able to move faster through it in order to move on to the next level of math understanding which may take them longer to figure out as well. This is why we need to give students more time to figure out their math problems, because they might still need more time to fully understand it.
Hi Robert!
ReplyDeleteI really enjoyed reading about your stand point, based on how you feel in regards to the time limits that students are required to face when completing math problems. I agree, I think that there is a line that has been crossed as many teachers believe that once a concept is taught it has stuck and will be retained forever. But this is not the case with all students. We need to be aware that our students all learn at a different pace and will excel at different points as well. That being said, it is important that as we begin to shift our thinking dynamic in the direction of providing our students with more time, that we go back and review any concepts that may have been overlooked due to time restraint. There are many cases where a child is left behind because they could not grasp the material quick enough, but the unit and curriculum still had to move forward. Therefore, I believe we should go back and ensure that we are all on the same page when adjusting the idea of timing the solution of mathematic problems.
Lastly, thank you for providing us with a personal story as it demonstrates that you are able to connect with the issue first hand.
Kate-Lynn Tougas