مطالعات اندازه گیری و ارزشیابی آموزشی

مطالعات اندازه گیری و ارزشیابی آموزشی

آموزش مفهوم متغیر تصادفی با استفاده از رویکرد انتگرال ریمان-استیلتس و راهبرد داربست برای دانشجویان علوم و مهندسی

نوع مقاله : مقاله پژوهشی

نویسندگان
1 استادیار گروه آمار، دانشکده علوم ریاضی، دانشگاه کاشان، کاشان، ایران
2 دانش‌آموخته کارشناسی ارشد، گروه آمار زیستی، دانشگاه تربیت ‌مدرس، تهران، تهران، ایران
چکیده
هدف: پژوهش حاضر با هدف مطالعه راهبرد داربست و ارائه رویکرد جدیدی برای آموزش متغیرهای تصادفی در دروس احتمال دانشجویان علوم و مهندسی انجام شده است.
روش پژوهش: در این مقاله ابتدا در مورد یادگیری فعال و عواملی نظیر کار گروهی، بازخورد اصلاحی و استفاده از رایانه، که در یادگیری دروس وابسته به آمار و احتمال به دانشجویان کمک می‌کند، موردهایی مطرح می‌شود. سپس برنامه‌های نمایشی به عنوان جایگزینی برای روش‌های کلاسیک آموزشی معرفی می‌‍شود.
یافته‌ها: در این مقاله به برخی تصورهای غلط رایج دانشجویان درباره پیشامدها، متغیرهای تصادفی و متغیرهای تصادفی پیوسته اشاره می‌شود و با ذکر تعدادی مثال این مفهوم‌ها مورد تجزیه و تحلیل قرار خواهند گرفت. سپس مفهوم راهبرد داربست و کاربرد آن در آموزش متغیر تصادفی و یک رویکرد تدریس در دوره‌های آموزشی آمار و احتمال شرح داده می‌شود.
نتیجه‌گیری: با توجه به موارد بیان شده در مقاله، پیشنهاد می‌شود در تدریس مباحث اولیه متغیرهای تصادفی برای دانشجویان علوم و مهندسی، به‌جای این که حالت‌های متغیرهای تصادفی گسسته و پیوسته به‌طور جداگانه تدریس شوند، متغیرهای تصادفی به‌صورت کلی و با استفاده از مفهوم انتگرال ریمان-استیلتس آموزش داده ‌شوند.
کلیدواژه‌ها

موضوعات


عنوان مقاله English

Teaching the Concept of Random Variable Using the Riemann-Stieltjes Integral Approach and Scaffolding Strategy for Science and Engineering Students

نویسندگان English

Mehdi Shams 1
Feresheh Sadat Hoeseinian Ghamsari 2
1 Assistant Professor, Department of Statistics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
2 Master's Degree, Department of Biostatistics, Tarbiat Modares University, Tehran, Tehran, Iran
چکیده English

Objective: The current research was conducted with the aim of studying the scaffolding strategy and providing a new approach for teaching random variables in probability courses of science and engineering students.
Methods: In this article, firstly, some issues are raised about active learning and factors such as group work, corrective feedback, and the use of computers that help students learn courses related to statistics and probability. Then the demonstration programs that can replace the classical educational methods were introduced.
Results: In the following, some common misconceptions of students about events, random variables and continuous random variables will be mentioned and these concepts will be analyzed by citing a number of examples. In the last part, the concept of scaffolding and its application in random variable education and a teaching approach in statistics and probability courses are described.
Conclusion: According to the items stated in the article, it is suggested to teach the basic topics of random variables, instead of teaching discrete and continuous random variables separately, random variables should be taught in general.

کلیدواژه‌ها English

Keywords: Statistics and probability
random variables
Riemann-Stieltjes integral

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