{"id":19781,"date":"2024-02-04T20:47:43","date_gmt":"2024-02-04T15:17:43","guid":{"rendered":"http:\/\/www.sachdevajk.in\/?p=19781"},"modified":"2024-02-04T20:47:43","modified_gmt":"2024-02-04T15:17:43","slug":"experiences-of-students-on-the-problem-of-understanding-derivatives","status":"publish","type":"post","link":"http:\/\/www.sachdevajk.in\/?p=19781","title":{"rendered":"Experiences of Students on The Problem of Understanding Derivatives"},"content":{"rendered":"

Authors: – <\/strong>Vishal Gupta (F1 Batch : 21230023804)<\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Vaibhav Kumar (F1 Batch : 21230023885)<\/p>\n

\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Manish Gautam (F1 Batch : 21230023922)<\/p>\n

Introduction: – <\/strong>Understanding derivatives is a critical aspect of financial literacy and investment strategy. Derivatives are financial contracts that derive their value from the performance of an underlying asset, such as a stock, bond, commodity, currency,\u00a0or\u00a0index. However, the problem of understanding derivatives goes beyond the simple concept of underlying asset.<\/p>\n

Objectives: – <\/strong>To understand the underlying phenomena of this problem.<\/p>\n

Literature review: –<\/strong> Research suggests that common challenges include the abstract nature of the concept, the need for a solid foundation in algebra and functions, and the lack of real-world context in traditional teaching\u00a0methods. Studies have indicated that students often struggle with visualizing the geometric interpretation of derivatives and fail to connect it to real-world applications. Moreover, the transition from basic calculus to derivatives introduces new mathematical notations and concepts, contributing to the complexity of the learning process.<\/p>\n

Testing of Hypothesis-<\/strong><\/p>\n

H0: \u03bc=3<\/p>\n

H1: \u03bc\u22603<\/p>\n

Data Collection-<\/strong><\/p>\n

    \n
  1. I have a basic understanding of what derivatives are used for.<\/li>\n
  2. I understand the connection between derivatives and slope of a graph.<\/li>\n
  3. I understand the difference between instantaneous and average rate of change.<\/li>\n
  4. The use of mathematical notation in derivatives confuses me.<\/li>\n
  5. I can apply the chain rule and product rule to differentiate more complex functions.<\/li>\n<\/ol>\n

    These 5 questions were asked in Google form to students and for every question standard deviation,<\/sub> standard error, mean and t-stat was calculated.<\/p>\n

    Data analysis- <\/strong><\/p>\n