The SAT Question Everyone Got Wrong

Value of the Information & Strength of the Argument

The video provides a clear and compelling explanation of a counterintuitive mathematical phenomenon. The argumentation is solid, building from a simple demonstration with coins to a formal proof using the concept of rolling without slipping. The use of visual aids and real-world examples enhances understanding. The video also adds historical context and interviews, which strengthens its credibility. The explanation of the general principle and its application to astronomy demonstrates the broader significance of the concept.

Scientific Rigor, Source Quality, Title Accuracy

The video demonstrates high scientific rigor by citing primary sources, including a New York Times article from 1982 and a Scientific American piece. The mathematical explanations are accurate and well-illustrated. The title accurately reflects the content, and the video does not overstate its claims. The inclusion of an interview with one of the students who identified the error adds authenticity. The video also acknowledges the ambiguity of the term ‘revolution’, showing a nuanced understanding of the issue.

The title accurately reflects the content, which focuses on the SAT question that was flawed and the mathematical paradox behind it.

9/10

The video presents a well-researched historical account of the 1982 SAT error, featuring interviews with one of the students who identified the mistake, and provides rigorous mathematical explanations with visual demonstrations. The claims are supported by references to primary sources (New York Times article, Scientific American) and standard mathematical principles.

Markers derived by PSI from the transcript: the creator did not define chapters.

• 00:00Introduction of the 1982 SAT question and the fact that no one got it right.
• 02:00Demonstration of the coin rotation paradox with two identical coins.
• 04:00Explanation of the general solution: add one rotation for the circular path.
• 06:00Interview with Doug Jungreis, one of the students who spotted the error.
• 08:00Formal proof that the distance traveled by the center equals the rotation amount.
• 10:00Application of the principle to astronomy: solar vs. sidereal days.
• 12:00Explanation of how the extra rotation accounts for the difference between solar and sidereal years.
• 14:00Discussion of the rescoring of the SAT and its impact on students.
• 16:00Conclusion on the declining role of standardized testing in college admissions.

• The SAT Problem That Everybody Got Wrong - Scientific American — Reference for the historical account and mathematical explanation.
• Error Found in S.A.T. Question - New York Times — Primary source reporting the error and the College Board's response.
• Coin rotation paradox - Wikipedia — General reference for the coin rotation paradox.
• Circle revolutions rolling around another circle - MathStackExchange — Discussion of the mathematical problem and its solution.
• Sidereal time - Wikipedia — Reference for the concept of sidereal time.
• Solar Time vs. Sidereal Time - Las Cumbres Observatory — Explanation of the difference between solar and sidereal time.
• Revolution Definition - NASA — Definition of revolution in an astronomical context.
• Revolution Definition - Merriam-Webster — Definition of revolution in a general context.
• Summary of this problem by MindYourDecisions — Another video discussing the same SAT problem.
• More cool math about this problem by Kyle Hill — Additional mathematical insights on the problem.
• Discussion of a solar day by MinutePhysics — Video explaining the concept of a solar day.
• What's the hardest SAT math problem that you've seen? - Quora — Discussion of the SAT problem on Quora.
• SAT Practice Test - College Board — Reference to the SAT practice test where the problem appeared.
• Earth motion animation - NASA — Animation illustrating Earth's orbit and rotation.
• Satellite animation - NASA — Animation showing satellite orbits and sidereal time usage.
• The Simulated Sky: Stellarium for Cultural Astronomy Research — Reference to the Stellarium software used in the video.
• Newspapers from 1980s - 1990s via Newspapers.com — Historical newspaper articles referenced in the video.

• Coin rotation paradox - Wikipedia — Confirms the paradox and the correct answer of 4 rotations.
• The SAT Problem That Everybody Got Wrong - Scientific American — Provides a written account of the same historical event and mathematical explanation.
• Error Found in S.A.T. Question - New York Times — Primary source confirming the error and the College Board's response.

• Alternative interpretations of 'revolution' — The video acknowledges that the term 'revolution' is ambiguous, and depending on the definition, the answer could be 1, 3, or 4. This is not a contradiction but a nuance in the problem's wording.

• brilliant.org
• ve42.co