My Math Forum  

Go Back   My Math Forum > Math Forums > Math

Math General Math Forum - For general math related discussion and news

LinkBack Thread Tools Display Modes
June 16th, 2018, 09:13 AM   #1
Joined: Jun 2018
From: Moscow

Posts: 1
Thanks: 0

Mathematical GIF-animations for students

I did some math animations. Criticize please!

What is Integral (GIF-animation).

Visualization of the integration process (GIF-animation).

What is Derivative (GIF-animation).

Fundamental theorem of calculus (GIF-animation).
kubrikov is offline  
July 15th, 2018, 07:12 AM   #2
Joined: Jul 2018
From: UK

Posts: 7
Thanks: 0

Excellent, reminds me of "3 blue 1 brown"s Youtube work.

Although, as you request criticism …

"what is derivative" might be better named "what is a derivative" or "what is derivation". And could emphasise that the windows size tends towards 0, that the slope is a proportion of width to height rather than just a difference in height. Often tangent lines are animated here where two tangent approach and become 1 point, but maybe you could get the same point across just by keeping those vertical lines in place after the window has moved on and sliding them gradually together afterwards.

It's just an idea to keep the framing the same and demonstrate how nothing breaks in the derivative as a result of this, but as the process progresses things will look less visually wobbly and more accurate, the natural conclusion and intuition here hopefully being the desired conclusion, that the derivative line is becoming more accurate as a result of this shrinking to the limit.

It does then still suggest that the window repeatedly jumps its own length rather than sliding smoothly, but maybe there effectively the same most of the time, or even at the limit completely equiverlant.

Last edited by alan2here; July 15th, 2018 at 07:18 AM.
alan2here is offline  

  My Math Forum > Math Forums > Math

gifanimations, mathematical, students

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Ratio of Students Monox D. I-Fly Probability and Statistics 3 October 13th, 2016 08:14 PM
Five students jemes Elementary Math 3 November 28th, 2014 04:08 AM
for intelligent students! dmc0929 Algebra 2 July 7th, 2009 05:56 PM
A Game for students Arley Calculus 0 December 31st, 1969 04:00 PM

Copyright © 2019 My Math Forum. All rights reserved.