True or False
All pangs are pings.
Some pings are pongs.
Therefore some pangs are pongs.
In Pangs, Pings and Pongs, I mentioned that it was motivated by a hypothesis about how people would approach solving such a problem. This is communicated by Gary Antonick of the New York Times NumberPlay blog.
There are three main ways to solve this problem:
- Apply a memorized rule: All P are Q, etc (Raj Magesh, Agnishom Chattopadhyay, Vedanth Bhatnagar, ...)
- Create a venn diagram (Gautam Sharma, Chew-Seong Cheong, Gregg Iverson, ...)
- Use an analogy (Amelia Liu, Ian Mckay, Trevor Arashiro, ...)
The questions that he wanted to study are:
1. What approaches are used by high-school students? Undergrads? Research faculty?
2. Does country (education system) make a difference? If so, why?
The hypotheses are:
1. Research faculty will move between analogies and diagrams, using both.
2. Students from certain education backgrounds will avoid the blind use of formulas.
3. Students from certain education backgrounds will be more likely to relate it to what they have learnt, and thus rely more on analogies.
What are your thoughts?