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DescriptionIn the third of seven clips from an after-school enrichment session in an urban middle school, two 7th grade boys, Ariel and James, are exploring ideas about linear functions. When Ariel explains his...
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DescriptionIn the first of seven clips from an after-school enrichment session in an urban middle school, two 7th grade boys, Ariel and James, are exploring ideas about functions. Researcher John Francisco...
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DescriptionIn the fourth of seven clips from an after-school enrichment session in an urban middle school, Ariel, a 7th grade boy, continues his exploration of ideas about linear functions. Researcher John...
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DescriptionIn the final clip of the series of seven from an after-school enrichment session in an urban middle school, Ariel, a 7th grade boy, revisits his method for solving a specific example of the Ladder...
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DescriptionIn the sixth of seven clips from an after-school enrichment session in an urban middle school, Ariel, a 7th grade boy, continues to apply his method for solving specific examples of the Ladder...
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DescriptionIn the seventh clip Amy, Jacquelyn, and James built another rod model at the overhead to show their solution to the problem: Which is larger one half or one quarter. Amy explained that they had tried...
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DescriptionDanielle and Gregory presented their model to represent the solution to the problem: Which is larger one half or one fourth and by how much. They built a model of an orange and dark green train, two...
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DescriptionIn clip 4, researcher Carolyn Maher asked the class to determine the number name for the white rod in the first model that had been built, in which the orange and red train was called one. James,...
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DescriptionResearcher Carolyn Maher then asked the students to share their solutions as a class and Graham and Michael responded. Graham said the orange and the red would be called one and the dark greens would...
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DescriptionIn the third clip Alan presented another model to show the difference between one half and one third. He built a model using one dark green rod, two light green rods, three red rods, and six white...
