We'd love your feedback! Please take a minute to share your thoughts.

Summer of Math Exposition

Limits are just Really Really Tiny Flashlights

Audience: high-schoolundergraduate

Tags: calculuslimitsderivatives

In which we explore the concept of limits using flashlights and laser pointers. We even touch on the formal epsilon-delta definition at the end! I've imagining this would be helpful for a beginning calculus students, as well as people wanting to review the concept of limits in a bit more detail.



Analytics

8 Overall score*
3 Rank
18 Votes
14 Comments

Comments

7.1

A nice visual way to motivate the ε-δ definition.

7

Great explanations; assumes readers have no background in the topic. Creative way of describing limits.

8

considering howwww manyyyyy explainations there arw on these standard topics… this one catches the eye. it doesn’t go into much depth… but the way it explains is just different. For someone who actually doesn’t know limits, this would be one of the best introductions! Also, I, as someone who’s very comfortable with the topic, was not bored throughout the video! thats a plus point.

clear novelty - unique analogy memorable PERFECT!!

To force myself to say bad for the video, it didn’t cover much depth and the topic is very standard. thats it.

8.1

An innovative idea for calculus

7

Very well done! A flashlight was a very nice way to explain a more abstract topic (limits) with an easier to understand analogy. I really like what you did in part six putting the formal definition of limits in terms of flashlights and targets. If I had to make a suggestion, I think this video could go with a more interesting hook at the beginning. This video got better as it went on and you showed all of the neat ways that you could stretch this analogy, but at the beginning it could have helped to have a motivating problem to get the listener hooked at the beginning. Overall I liked this a lot though, and I could see this explainer being a super helpful resource for teachers. Well done!

8

Have watched before the voting began. Really loved how the flashlight analogy tied it all together!

5.4

Even though the topic is classic and presented as a traditional theoretical lecture, the idea of the light beam could help students. Original and easy to follow, but not so simple to apply (if one puts oneself in the student’s shoes). Many of the animations used are difficult to reproduce in a notebook, which does not facilitate memorization or the construction of diagrams. A final summary diagram would have been useful.

8.5

Once one disregards Snell’s law (;-), this is an excellent metaphor for these concepts.

5.6

This is a good idea for a presentation on the idea of limits. The flashlight concept works well and makes it clear to the students what is happening. The video goes at a slow and consistent speed. It will be a good learning aid for high school or first year university. It could be improved by also containing more motivation for the students. Students often wonder what the point of limits is. A link to the concepts of velocity and acceleration. Or a history of how and why limits came in to maths could expand the video.

9

Brilliant video! Beginner friendly and explains the concepts really well!

9

Very nice! Best explanation on limits I have ever seen! Nothing I can complain about or suggest and it fits this year’s theme very nicely. Well done!

8.2

Awesome explanation for the concept of limits! I learned something today! Really intuitive and kinda mind-blowing perspective change on what limits are actually measuring and why we use them.

My only real complaint is the animations could have been a bit smoother, I’m guessing you screen recorded Desmos for a lot of it.

9

The interpretation of letting the light bounce off towards the y-axis at 90 degrees is incompatible with the physicality of the visual interpretation of flashlights. Which could really confuse students. But I don’t think it’s much of a problem.

8.2

Its so clear why infinite oscillating functions don’t have limits now. Thanks.