Teacher view

Calculus I — The Chain Rule (demo)

For teachers

Where did the class get lost?

No names, no cameras — only anonymous writing patterns. Hesitation and erasing from everyone’s notes, pooled per 30 seconds. Groups smaller than 3 students are never counted.

From 6 students’ notes on this lecture.

Class heatmap over lecture timeEach column is 30 seconds of the lecture. Darker = more of the class, relative to the busiest moment. Click a column to hear it.
Erased strokes: SQLite · computed in TypeScript · busiest 30 s: 60
Show as a table
Class activity per 30 seconds of the lecture
Lecture timeStudents who hesitated or erasedErased strokesAll strokes
00:00–00:30fewer than 30154
00:30–01:00fewer than 39147
01:00–01:30fewer than 30135
01:30–02:00657148
02:00–02:30fewer than 30120
02:30–03:00fewer than 30180
03:00–03:30fewer than 30126
03:30–04:00fewer than 30229
04:00–04:30660139
04:30–05:00fewer than 32139
05:00–05:30fewer than 311119
05:30–06:0052598

Top 3 moments to re-teach

Where the most students hesitated or erased

  1. Moment 1: 04:00–04:30

    6 students hesitated or erased · 60 erased strokes
    “Ask yourself: is the x sitting inside something, or next to something? Sometimes you need both rules in the same problem. Take x squared times e to the…”
  2. Moment 2: 01:30–02:00

    6 students hesitated or erased · 57 erased strokes
    “Outer function sine, inner function x squared. The derivative is cosine of x squared, times two x. Be careful: it is cosine of x squared, not cosine of…”
  3. Moment 3: 05:30–06:00

    5 students hesitated or erased · 25 erased strokes
    “is sine x. Two sine x times cosine x, which some of you know as sine of two x. It is not cosine squared x, and it is…”