کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6843308 1436001 2018 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Real analysis students' understanding of pointwise convergence of function sequences in a DGS assisted learning environment
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Real analysis students' understanding of pointwise convergence of function sequences in a DGS assisted learning environment
چکیده انگلیسی
The purpose of this research study is to understand how math majors conceptualize and make sense of pointwise convergence of sequence of functions in a series of in-depth qualitative interviews. Framed in APOS (Dubinsky & McDonald, 2002) and VA (visual-analytic) strategy coordination (Zazkis, Dubinsky & Dautermann, 1996) theoretical perspectives, the analysis showed that students demonstrated a diversity of mathematical behaviors associated mostly with the process level of understanding in APOS model. Yet a complete understanding of pointwise convergence at object level did not take place, students still also exhibited significant achievements in progression from process to object. The VA coordination also proved a beneficial mechanism in students' making sense of pointwise convergence in a dynamic geometry environment.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: The Journal of Mathematical Behavior - Volume 49, March 2018, Pages 61-81
نویسندگان
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