Consider this sequence of numbers: 5, 7, 9. Can you spot the pattern? Here’s another with the same pattern: 15, 19, 23. One more: 232, 235, 238. “Three equally spaced things,” says Raghu Meka, a ...

The study of arithmetic properties and digit restrictions in number theory explores the intricate relationships between classical arithmetic functions and the digital representation of numbers. This ...

What processes underlie children’s symbolic approximate arithmetic? We first considered whether children might have learned some symbolic addition facts and used their fact knowledge to solve the ...

A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. Joseph Silverman remembers when he began connecting ...

AN excellent way to see one’s own country, or one’s own century, is to visit another. While I was making just such a mental pilgrimage to the eighth century, a recent interest in unconventional ...

Students in Melissa Williams' kindergarten class at the Westminster School in Atlanta, Georgia, practice connecting quantities to written numbers — a key part of number sense. Credit: Holly Korbey for ...

Randolph Grace receives funding from the Marsden Fund, administered by the Royal Society of New Zealand. Everyone knows that arithmetic is true: 2 + 2 = 4. But surprisingly, we don’t know why it’s ...