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**1 - 2**of**2**### VISUALIZATION OF ORDINALS

, 2007

"... We describe the pictorial representations of infinite ordinals used in teaching set theory, and discuss a possible use in naturalistic foundations of mathematics. ..."

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We describe the pictorial representations of infinite ordinals used in teaching set theory, and discuss a possible use in naturalistic foundations of mathematics.

### Current Foundations of Mathematical

"... As a secondary teacher, I was in a unique position, for I taught both English and mathematics to high school stu-dents. Through my observations, I learned that my students employed similar writing practices when they learned math-ematical skills. This study explored how high school stu-dents address ..."

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As a secondary teacher, I was in a unique position, for I taught both English and mathematics to high school stu-dents. Through my observations, I learned that my students employed similar writing practices when they learned math-ematical skills. This study explored how high school stu-dents addressed the audience when they wrote mathemati-cally. Research Questions I noticed various aspects of mathematics and writing that were similar. For this study, I chose to focus on one as-pect: the role of the audience in the students ’ writing. As a result, my research questions were: • Does the students ’ audience affect the kind of writing students produce in the mathematics class? • If audience does have an affect on the students ’ math-ematical writing, how is it affected?