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Middle School Math Problem Solving Worksheets

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Joellen Loïs December 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.

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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.

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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.

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Numerous research studies have found that when students are actively engaged with the content, they have a much better chance of understanding and remembering what they have learned. Unfortunately, math worksheets tend to bore most students, especially those who need the most help in math. Engagement entails much more than rote repetition of a procedure. Math worksheets tend to present very similar problem types over and over, leading to mundane practice of disassociated skills. For students who understand the material and successfully complete an assignment, another worksheet becomes meaningless. On the other hand, for the students who don’t understand the material, an alternative method of instruction is what’s needed. Another worksheet simply adds to the student’s frustration, or worse, contributes to a belief that ”I’ll never understand math.” A cute image or a ”fill-in-the-blanks” riddle does nothing to increase engagement or learning (and let’s face it, those riddles are not funny!). Instead, teachers need to increase engagement by providing students with exercises in which they discover patterns and relationships, solve problems, or think creatively about math relationships.

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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.

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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.

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