When you hear the words "rational" and "irrational," they might bring to mind the relentlessly analytical Spock in "Star Trek." If you're a mathematician, however, you probably think of ratios between ...

When my students grow too dependent on their calculators, I ask them to find a number that, when multiplied by itself, gives them 2. Students quickly see that since 1² = 1 and 2² = 4, the answer has ...

Mathematics students face challenges with rational and irrational numbers. Understanding the principles and patterns simplifies this concept. Rational numbers can be fractions of integers. Irrational ...

Key points If someone made perfectly accurate judgments and sound decisions, would we recognize it? The science and philosophy of judgment and decision-making suggests that the answer is often “no.” ...

In a previous post, we considered three of seven "irrational" habits of highly rational people. Here we consider the remaining four, as well as some suggestions for distinguishing the genuinely ...