The Challenge of Comprehending Derivatives

Title: The Challenge of Comprehending Derivatives

Author:

1. Kamakshi Agarwal
2. Pratham Yadav
3. Atharv Kadam

Introduction:

Understanding derivatives can be a challenging task for many individuals, as it involves concepts and mathematical techniques that may seem complex and abstract at first glance. Derivatives are a fundamental concept in calculus and play a crucial role in various fields, including mathematics, physics, economics, and finance. The challenge of comprehending derivatives arises from the intricacies involved in grasping both their theoretical foundations and practical applications. 

Literature Review:

The literature review on the challenge of comprehending derivatives encompasses a broad range of perspectives, including financial, mathematical, educational, and cognitive aspects. Derivatives, such as options and futures contracts, are financial instruments whose values are derived from an underlying asset. Understanding and trading derivatives involves complex mathematical models, risk assessments, and a deep comprehension of financial markets. Derivative markets vary across regions, and global perspectives are crucial in understanding the challenges associated with comprehending derivatives. Comparative studies examine differences in regulatory frameworks, market structures, and trading practices.Researchers analyze the implications of technological advancements on market dynamics, trading strategies, and risk management.

 

Data Collection:

A set of 5 Likert scale questions was created, and a survey was conducted with 100 individuals from the college.

1. Do you know the fundamental applications of derivatives.
2. I am able to distinguish between more complicated functions using the chain rule and product rule.
3. The distinction between the average and instantaneous rates of change is clear to me.
4. The usage of mathematical terminology in derivatives baffles me.
5. I understand how derivatives relate to a graph’s slope.

 

They were coded as: Strongly Agree-1, Agree-2, Neutral-3, Strongly Disagree-4, Disagree-5

 

Data Analysis:

1. MEAN= 2.93   SD= 1.11   SE= 0.11   T-STAT= –0.63
2. MEAN= 3.01   SD= 1.17   SE= 0.12   T-STAT= 0.09
3. MEAN= 2.96   SD= 1.15   SE= 0.12   T-STAT= –0.35
4. MEAN= 2.76   SD= 1.08   SE= 0.11   T-STAT= -2.21
5. MEAN= 2.6     SD= 1.12   SE= 0.11   T-STAT= –3.57

 

Conclusion:

1. Do you know the fundamental applications of derivatives.
•     T-stat is –0.63 which is between 1.96 and –1.96. It means people are neutral with the statement.

 

2. I am able to distinguish between more complicated functions using the chain rule and product rule.
• T-stat is 0.09 which is between 1.96 and –1.96. It means people are neutral with the statement.

 

3. The distinction between the average and instantaneous rates of change is clear to me.
•    T-stat is –0.35 which is between 1.96 and –1.96. It means people are neutral with the statement.

 

4. The usage of mathematical terminology in derivatives baffles me.
• T-stat is -2.21 which is less than –1.96. It means people disagree with the statement.

 

5. I understand how derivatives relate to a graph’s slope.
•    T-stat is –3.57 which is less than –1.96. It means people disagree with the statement. 

 

 

References:

Our team thoroughly investigated “ The challenge of comprehending derivatives,” conducting a comprehensive survey in our college community. Our aim was to understand how individuals navigate unfamiliar challenges of the derivatives market. This research provides valuable insights into the diverse approaches people take to embrace new challenges of the market, shedding light on the dynamics of cultural assimilation and adjustment within a college setting.

 

https://www.researchgate.net/publication/233462524_The_Ability_of_Students_to_Comprehend_the_Function-Derivative_Relationship_with_Regard_to_Problems_from_Their_Real_Life

https://jems.science-line.com/attachments/article/34/J.%20Educ.%20Manage.%20Stud.,%205(4)%20211-214,%202015.pdf

https://docs.google.com/spreadsheets/d/17FlBqw9CTp4McAH7dP4HS3LwcJhw6kHE3X-U9TshV7M/edit#gid=0

 

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