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Proportional reasoning means that students are making connections of real world situations or tings that are linked with numbers. For example, the amount of red dye to blue dye when creating a particular shade of purple is an art real world idea that is mathematical. Students often think math doesn’t exist in the natural world but proportions are so natural that they miss the trees because they only see the forest.
I think as a sixth grade math teacher that it is important to inspire students to see the math in the world around them. It isn’t just abstract but it is generated from the world in which they live. This exploration could help students to engage in math and persist; not working persistently just to learn to work, but working with an ultimate purpose in an area of interest.