Eloisa Hortense October 18, 2020 Worksheet
Some students are unable to access tools that many of us take for granted when they try to complete worksheets. They may be unable to grasp pencils, control their movements within the limited spaces provided on the sheet, or be able to simply stabilize their paper while writing. Other students, including those for whom English is not their primary language or who struggle with reading, have difficulty reading the directions, words, and math terminology on the worksheets. Still other students require different visual representations or methods of engagement in order acquire an understanding the content. Most math worksheets do not provide information in multiple formats so they are inaccessible to students with a wide variety of learning styles and abilities. Well-designed technology can provide these students with access to excellent content. For example, these fractions tools and supplemental curriculum allow students with physical disabilities to access fractions content using a variety of assistive technology devices. Instructions, prompts and feedback can be read aloud, while visual models, cues combined with sounds support a wide range of learning styles and abilities.
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.
No matter what materials you choose, it is most important that you supervise your child constantly so that mistakes get caught rather than practiced. I learned this particular lesson the hard way. When my daughter was young, she did something that needed ”attention.” I no longer remember what it was that she did, but I told her to write the sentence ”I will not disobey my parents again” 50 times. I should have known better, but I didn’t check on her at the beginning and then I got busy. So, sometime later, she brought me 50 sentences of ”I will not disobey my parents agen.” She had just practiced misspelling ”again” as ”agen” — 50 times! I’m not certain that we ever really got that fixed.
Thus, the math worksheets which you get for your kids should include interesting word problems that help them with the practical application of the lessons they learn. It should also present the same problem in a variety of ways to ensure that a child’s grasp of a subject is deeper and comprehensive. There are several standard exercises which train students to convert percentages, decimals and fractions. Converting percentage to decimals for example is actually as simple as moving the decimal point two places to the left and losing the percent sign ”%.” Thus 89% is equal to 0.89. Expressed in fraction, that would be 89/100. When you drill kids to do this often enough, they learn to do conversion almost instinctively.
This issue of NOT practicing mistakes is extremely important. Parents shouldn’t give worksheets as busy work and teachers should only use them if you are going to have a non-math teacher substitute. White boards with supervision are always a better way to practice skills. If you need some time to do chores, your child will get much more benefit by helping you with the chores. And maybe you can work in a little discussion of numbers or counting while you do chores together.
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.
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