ASCD Express 12.15 - With Math, Seeing Is Understanding - 1 views
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John Evans on 13 Apr 17"Helping children visualize math is critical to their success in the subject. I recently observed a 5th grade class starting a lesson on area and perimeter. I turned to a girl who was in my class four years earlier and reminded her that she knew the topic. "Yes I do!" she said excitedly. "The perimeter is where you sit along the outside of the rug in morning meeting, and area is the inside of the rug, where the squares are. That's from 1st grade," she said confidently, circling her fingers in the air to represent her thinking. Visual cues, like this one I use with my six- and seven-year-old students, stick and show that envisioning math helps children learn in lasting ways. We teachers can do more to give students internal ways to see the structure of mathematics-to understand types of units and what it means to move between them, and to pull apart and combine numbers. But math instruction is changing. At my school, in the early grades, we encourage children to use their fingers, something that feels so natural to them, to better understand numbers and the numbering system. We might talk about how a "high five" involves using a whole hand, which is really a unit made up of five fingers; while a thumbs-up involves just one segment of that five-part unit. We then go on to using things like beads on a string and, later, place-value disks, which are like poker chips, to help children see and work with numbers, units, and place value."