![]() ![]() After an individual, pair, or small group of students finish solving the class problem using a single method, encourage them to look for alternate ways to come up with the same correct solution. What if we don't follow their logic? What if they're incorrect? However, it's worth the risk to have them explore. Empowering students to create their own problem-solving methods can make the teacher nervous. The more strategies and approaches that students are exposed to, the deeper their conceptual understanding of the topic becomes. In the best classroom environment, the teacher is able to show different ways to solve the same problem and encourage the students to come up with their own creative ways to solve them. ![]() Students who are exposed to and can recognize the same relationship posed in the different representational modes are more likely to have conceptual understanding of the relationship and perform better on assessments (PDF). For example, when presenting linear relationships with one unknown, illustrate to students the same problem as an equation, on a number line, in words, and with pictures. Different representations could include using manipulatives, showing a picture, drawing out the problem, and offering a symbolic representation. The more types of representations that you can present to students addressing their different learning styles, the more likely they will truly understand the concept being presented. Introduce topics using multiple representations. ![]()
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