کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6843271 1436000 2018 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
When an argument is the content: Rational number comprehension through conversions across registers
ترجمه فارسی عنوان
هنگامی که یک استدلال محتوا است: درک تعداد ریاضی از طریق تبدیل در سراسر ثبت
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
This article reframes previously identified misconceptions about repeating decimals by describing these misconceptions as limited understandings of how mathematics concepts are referenced. In particular, misconceptions about repeating decimals and their quotient of integer representations are recast as limited understandings of mathematics as a discipline that derives its content from representational systems and the denotations they provided. Under this framework, arguments (e.g., proofs) that convert repeating decimals to their quotient of integer representations provide content for “rational number,” which is represented in multiple ways, each offering distinct opportunities for mathematical activity. The notion of an argument as content is illustrated as arguments providing access to a concept. One Grade 8 student's struggle with understanding rational number is used to illustrate this framework and its implications for teaching and learning.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: The Journal of Mathematical Behavior - Volume 50, June 2018, Pages 42-56
نویسندگان
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