Ami Maylis December 1, 2020 Worksheet
Have you ever noticed how many K-12 math content websites are devoted to math worksheets? There seems to be an increase in websites that cater to desperate teachers and parents by offering fast, free ”worksheet generation”, ”10 free fractions worksheets,” etc. Now, as a former teacher I am not saying that one should never use math worksheets; however, I do believe that many teachers are using a very superficial method of instruction that relies too much on low-level math worksheets and hands-off instructional approaches. Worksheet lessons move from reading the directions aloud, to doing sample problems as a group, to completing the worksheet independently (or at home with parents), day in and day out.
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.
Another advantage of these math worksheets is that kids and parents will be able to keep them to serve as their references for review. Since worksheets are easy to correct, students will be able to identify the items and areas that they had mistakes so that they will be able to correct those deficiencies. Keeping record is really a good thing; As a parent, you will be able to go back through them and assess their strong and weak areas. Keeping track you will be able to track your child’s progress as empirical evidence.
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.
Math worksheets rarely ask students to think critically or creatively. They usually present multiple examples of the same problem type with the hope of reinforcing a skill or procedure. They do not challenge students to use higher order thinking skills such as comparing, analyzing, deducing, and synthesizing. These skills are built through activities in which students discover concepts, explore ideas, test a hypothesis, solve a problem, and discuss their thinking with their peers. Exploring concepts and problems in many different ways builds interest and promotes critical thinking.
Of course, there is a place for math worksheets. After some instruction has occurred, math worksheets can provide extended practice and support development in fluency, provided the teacher is engaged with students as they work. Teachers who are effective at grouping students can use math worksheets as a springboard for discussions, discovery, and communication. So the next time you do a search for curriculum materials, skip the worksheets. Instead, consider resources that provide interactive experiences or consider sites that provide students with challenging problems. These sites will more likely engage students, foster discussion, and build a true understanding of the purpose and joy of learning math.
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