Any Understanding
After a few years of tutoring I feel myself being pulled into some type of immediate need for answers. Students these days seem to be taught to just get the answer and move on. I am referring to math in particular. As long as they can get the answer, then it may not necessarily matter how or why.
Why are we teaching our children this? In the real world, when you are presenting a new product you need to to know about the product, how it was made, how it works, and why it is the best product. In math we are teaching students that nothing matters as long as they get the answer. Teachers are probably not purposefully doing this, but it is happening. What is it that makes students care about an answer and not the process? Do we rush them through material and never actually allow them time to absorb it? Do we not actually explain it in terms that they can understand? Do we only care about the end of course test? Are we just trying to adhere to the required standards?
Teachers should try to stop and access their students knowledge throughout a unit. Not by traditional methods because that shows the same students succeeding and "understanding" that most teachers will already know about. What are the administrators and policy makers doing to encourage this attitude about the process?
Is it not more important for students to know the process? They may actually use it and can apply it in their everyday lives. For example, I have two students that I am tutoring who are working with percents, fractions, and decimals. They can solve when I ask them 50% of a number. However, when I ask for a percent that is not quite as easy, they are not able to solve. They can make a guess, but it might not be very accurate. It is because they do not understand the process for solving. The process should be applicable for any percent, not just the ones I can simply solve in my head. What happens if I want to know 6.5% for sales tax or something? Then what?
We must stress understanding! It is better for a student to understand a few processes rather than to see several types of problems throughout the year. Those who have a considerable amount of understanding will be fine on the E.O.C. rather than those who have forgotten the tricks or particular problems for solving.
