Gallia Mariam December 3, 2020 Worksheet
Most teachers are familiar with the long delay between when students complete a worksheet, and when they get their correct page. Most don’t get anything back until the next day or the next week. In the meantime, the students continue to practice incorrectly. It’s no surprise that immediate feedback has been shown to increase student performance and diligence. Unfortunately, math worksheets have no mechanism for keeping a student from moving to the next problem until after they demonstrate understanding. Good curriculum software can address this issue by giving students instant responses and strategic feedback. The use of visual cues and auditory feedback helps students quickly recognize their fraction errors and self-correct. This just-in-time feedback system eliminates practicing incorrectly, while promoting self-correction and independence.
Printable math worksheets can be used by both parents and teachers to help kids overcome some of their most common problems in leaning math. You see, I’m a professional educator. I teach high school. I’m also a parent. (I wear both hats!) Year after year, I see kids come into my classes completely unprepared to learn math. When I diagnose what the problem is, it’s virtually always either they don’t know their multiplication tables or, more often, they don’t know how to work with fractions. I teach the upper grades in my school, yet I continue to see kids who do not even have basic algebra skills in place.
Math worksheets are often assigned as an independent activity, however research indicates that communication and discourse are needed to build a deep understanding of math topics. Students need opportunities to explore mathematical ideas in different ways and to build their own connections. This involves communicating their ideas, listening to the ideas of others, arguing a viewpoint, describing, and explaining. Math worksheets are rarely used as a catalyst for conversation. Instead of assigning worksheets, find activities that encourage discourse, such as ”number talks,” or collaborative group work. During the session, be sure to require students to explain their thinking and listen to the strategies and thinking of their peers. If you are fortunate enough to have an interactive whiteboard in your classroom, using it with interactive math software creates many opportunities for group discussion and student participation. Teachers can can begin by posing problems and modeling approaches, and then ask students to work together to find solutions. Then have them come to the board to demonstrate their solutions in front of the class. These days, many examples of how to teach math concepts on an interactive whiteboard can be found online in the various whiteboard community sites, educational sites, YouTube, etc.
Most of even beginning algebra depends on being able to do two things–one, doing multiplication quickly and accurately in your head, two, knowing how to add, subtract, multiply, and divide fractions. You might remember a concept in algebra called ”factoring.” Factoring means breaking up into parts that are multiplied together to give you the whole. You can factor numbers. For instance, 6 factors into 2 and 3–2×3 =6. In elementary algebra we learn to factor expressions such as x^2+4x+4. This particular expression is easily factorable into (x+2)^2. If this doesn’t make any sense to you, don’t worry about it. Just trust me, if you don’t know your multiplication tables, you can’t factor. If you can’t factor, you won’t do well at all in algebra, geometry, or trigonometry.
I will admit that there is one type of worksheet that I used in the past and found relatively beneficial, although it had a different kind of flaw. For my Basic Math, Pre-Algebra, and Algebra classes, I had several books of ”self-checking” worksheets. These worksheets had puns or puzzle questions at the top, and as the students worked the problems they were given some kind of code for choosing a letter to match that answer. If they worked the problems correctly, the letters eventually answered the pun or riddle. Students enjoyed these worksheets, but there are a couple problem areas even with these worksheets. Some students would get the answer to the riddle early and then work backward from letter to problem answer, so they weren’t learning or practicing anything.
As a parent, I’m very aware of what my own children are learning in school. For the most part, I’ve been happy with their progress, but as they rise in grade level, I’m starting to see more emphasis on a loose understanding of the concepts and less emphasis on skills–particularly skills with arithmetic of fractions. The main problem with what I see with my students and my own children is that kids are taught ”concepts” and are not taught skills–unless they’re lucky enough to have a teacher who knows better. Most particularly, children are not taught mastery of arithmetic with fractions. Unfortunately, virtually all of their future math education depends on being able to do fractional arithmetic.
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