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Lucille Mellina November 22, 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.

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.

It’s easy to see how free worksheets can save you money. If you want, you can skip buying math books and just use worksheets that you get for free on the internet. All you need to do is use a ”scope and sequence” book that tells you what your child needs to be doing in math by age and grade. This book is essential when you homeschool. I recommend getting one of these books when you first begin homeschooling and use it as a reference throughout your homeschool journey. Regardless of how long you homeschool, you’ll always have doubts and questions about how your child is performing.A scope and sequence book can put your mind at ease.

Teachers are actually doing their best to educate children. The problems with education aren’t so much on the level of teachers as with the institution as a whole. It’s kind of like the state of communications in our country before the deregulation of the telephone companies. Before deregulation, one and only one advancement–the touch tone phone. After deregulation, well you have cell phones, the Internet, instant messaging, you name it! What dedicated teachers and parents need to do is to supplement public school instruction with strategies that work, that have always worked, to get kids to really master the fundamental skills of elementary math.

Another problem with almost all worksheets is that they don’t prevent incorrect answers. Self-checking worksheets just let the student know they did something wrong–after the fact. I am a firm believer in the concept that, if at all possible, learning should be structured in small chunks in such a way that there is very little possibility for error. Worksheets often allow for mistakes to be made and then to be repeated many times. A mistake that gets practiced is extremely difficult to correct. This especially happens when worksheets are used as time fillers or baby sitters and the work isn’t really being supervised.

Rather than using worksheets, a better method is to use individual size white boards and have the child writing entire facts many times. Having a child writing 9 x 7 = 7 x 9 = 63 while saying ”nine times seven is the same as seven times nine and is equal to sixty-three” is many times more successful than a worksheet with 9 x 7 = ___ and the student just thinks the answer once and then writes that answer on the duplicate problems.

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