---
title: "Pedestrian Crosswalk Mystery"
description: "Winfree's outdoor group lab: watch a real pedestrian crossing, record what happens before explaining it, pool the class's logs, and turn the oddities into questions that can be tested."
type: Activity
tags: [course, student-facing, problem, section-3, observation, fieldwork, hypothesis-testing]
status: stable
problem:
  section: 3
  session: 12
  identification: unknown
  kind: lab
generated:
  by: "claude/fable-5-1"
  at: "2026-09-16T00:00:00Z"
sources:
  - id: winfree-handout-2001
    resource: "https://web.archive.org/web/20030111064604/http://eebweb.arizona.edu/Faculty/Winfree/handout_479.htm"
    title: "ECOL 479/579 The Art of Scientific Discovery: course handout with retrospective syllabus (archived)"
    author: "A. T. Winfree"
  - id: fhwa-hawk-2010
    resource: "https://www.fhwa.dot.gov/publications/research/safety/10042/10042.pdf"
    title: "Safety Effectiveness of the HAWK Pedestrian Crossing Treatment (FHWA-HRT-10-042)"
    author: "Kay Fitzpatrick and Eun Sug Park"
  - id: nyt-placebo-buttons-2004
    resource: "https://web.archive.org/web/20101110072424/http://www.nytimes.com/2004/02/27/nyregion/for-exercise-in-new-york-futility-push-button.html"
    title: "For Exercise in New York Futility, Push Button (The New York Times, 27 Feb 2004; archived copy)"
    author: "Michael Luo"
  - id: aosd-syllabus
    resource: "https://github.com/tyson-swetnam/aosd/blob/main/docs/assets/aosd_syllabus.pdf"
    title: "The Art of Scientific Discovery: original course syllabus (PDF)"
    author: "Arthur T. Winfree"
---

# Pedestrian Crosswalk Mystery

<a rel="license" href="http://creativecommons.org/licenses/by/4.0/"><img alt="Creative Commons License" style="border-width:0" src="https://i.creativecommons.org/l/by/4.0/88x31.png" /></a><br />This work is licensed under a <a rel="license" href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</a>.

*[Section 3](https://tyson-swetnam.github.io/aosd/section3/index.md), session 12, where the lab begins, alongside [Sums of Integers](https://tyson-swetnam.github.io/aosd/problems/sums-of-integers/index.md); the observations are pooled and discussed in session 13.*

!!! abstract "The problem"

    Reconstructed from the syllabus. Winfree's own text is lost; what
    follows is built from the lab's name and its place in the schedule.
    Nothing records what the "mystery" was, or even whether the crossing
    had a signal.

    Go, as a group, to a pedestrian crosswalk on a busy street. Spend at
    least half an hour there over the coming week, at more than one time of
    day, and keep a log in your GamesWorth book.

    1. **Describe it before explaining it.** Write down what is actually
       there: the markings, the signs, the kerbs, whatever machinery there
       is — and the people. Time events to the second, and note what
       happened just before each change.
    2. **Watch the people as closely as the hardware.** Where do they cross
       relative to the painted lines? Who waits and who steps out? How do
       two opposing streams of walkers get through each other without
       colliding? When do drivers stop, and when do they roll through?
    3. **Find the mystery.** Somewhere in your log there should be
       something you cannot yet explain. It may be mechanical, it may be
       human. Let the log tell you which.
    4. **Pool the data.** Next session, combine everyone's timings and
       counts. Look for regularities no single observer could see, and for
       disagreements between observers, which are data too.
    5. **Question, hypothesize, test.** Write your rules for the crossing
       as if-then hypotheses, say what would refute each, and go back and
       look.

    The product is not "the answer" but a clean record of what happened, a
    list of the questions it raises, and the explanations you tried to
    eliminate.

## Why it is in the course

The lab straddles a seam in the schedule. It begins in session 12, the last
of Section 2 on creative blocks, and is discussed in session 13, the first
of Section 3, "Observations and Questions". It is the first exercise whose
raw material is not a puzzle on paper but the street outside.

The habits it drills are named elsewhere in the syllabus. Session 4 asks
for "facts before explanations of facts" and for "distinguishing things we
know vs only imagine"; a street corner demands both at once, because almost
everyone arrives believing they already know how a crossing works. Pooling
matters as much as watching: nobody can watch the traffic, the crossing and
the walkers at once, so the logs come back incomplete and contradictory,
and Section 3 is where disagreements become evidence.

## Where it comes from

This is Winfree's own field exercise, not a puzzle borrowed from anyone. It
survives as two lines of the schedule: the lab's name in session 12, and a
line in session 13 telling the class to discuss its outdoor observations of
the crosswalk. The problem sheet students were handed was never published.
The archived course handout that carries the schedule is a plain reading
copy with no working links, and Winfree's other surviving pages — his lab
site and his eighteen "Adventures in Discovery" columns — say nothing about
a crosswalk. The syllabus marks group labs "on the day they begin in class",
which is why this one spans two sessions.

??? tip "Hints"

    - Time everything. A log without seconds cannot tell an effect from a
      coincidence.
    - Include controls. Compare a quiet hour with a busy one; if there is
      something to press, compare the intervals when someone presses it
      with those when nobody does.
    - Count people, not just machinery. Where they walk and who ignores the
      markings are observations as good as any timing.
    - Keep three columns: what you saw, what you inferred, and what you
      assumed because a sign said so. Everyone else acts on the third
      column too.
    - Ask what is not there. An event that never happens, a car that never
      stops, a stretch nobody uses: absences are observations.

## Sources

- **A. T. Winfree**, *ECOL 479/579 The Art of Scientific Discovery: course handout with retrospective syllabus* (2001), archived copy — [Wayback Machine](https://web.archive.org/web/20030111064604/http://eebweb.arizona.edu/Faculty/Winfree/handout_479.htm){target=_blank} 🔓
- **Kay Fitzpatrick and Eun Sug Park**, *Safety Effectiveness of the HAWK Pedestrian Crossing Treatment*, FHWA-HRT-10-042 (2010) — [PDF](https://www.fhwa.dot.gov/publications/research/safety/10042/10042.pdf){target=_blank} 🔓
- **Michael Luo**, "For Exercise in New York Futility, Push Button", *The New York Times*, 27 February 2004 — [Wayback Machine](https://web.archive.org/web/20101110072424/http://www.nytimes.com/2004/02/27/nyregion/for-exercise-in-new-york-futility-push-button.html){target=_blank} 🔓
- **Arthur T. Winfree**, *The Art of Scientific Discovery: original course syllabus* (2001) — [PDF](https://github.com/tyson-swetnam/aosd/blob/main/docs/assets/aosd_syllabus.pdf){target=_blank} 🔓

!!! note "How sure are we that this is Winfree's problem?"

    The identification is **unknown**. That the class went outdoors to a
    pedestrian crossing and pooled the results in the next session is
    certain from the syllabus. The location is not recorded, the "mystery"
    is not described, and the syllabus does not even say the crossing was
    signalized. All four readings below are reconstructions.

    - **Watching the people rather than the machinery** (medium
      confidence): the exercise is named for the *pedestrian* crossing, and
      this fits the course's rule that its exercises "depend as little as
      possible on knowledge of any particular subject area" and "require no
      lab setup".
    - **Inferring an unfamiliar signal's rules** (low-medium confidence):
      Tucson developed the HAWK — High intensity Activated crossWalK —
      beacon in the late 1990s, and its sequence was novel in 2001. But
      nothing ties Winfree's lab to a beacon, and traffic engineering is
      the specialist knowledge the course says it avoids.
    - **Testing whether a push button does anything** (low-medium
      confidence): a 2004 New York Times report found more than 2,500 of
      New York City's 3,250 walk buttons deactivated. That reporting
      postdates the course by three years.
    - **A rhythm-and-timing observation** (low confidence): two signals
      drifting in and out of phase, in the spirit of Winfree's work on
      coupled oscillators. The syllabus speaks of one crossing, and nothing
      supports this reading.

---

*Back to [Section 3](https://tyson-swetnam.github.io/aosd/section3/index.md) · [All problems](https://tyson-swetnam.github.io/aosd/problems/index.md) · [The schedule](https://tyson-swetnam.github.io/aosd/syllabus/index.md#section-3-observations-and-questions)*
