Cardinality, Counting, and Equinumerosity

The Idea of an Exact Number: Children's Understanding of Cardinality and Equinumerosity

Understanding what numbers are means knowing several things. It means knowing how counting relates to numbers (called the cardinal principle or cardinality); it means knowing that each number is generated by adding one to the previous number (called the successor function or succession), and it means knowing that all and only sets whose members can be placed in one-to-one correspondence have th...

Running Head : THE EXACT - NUMBERS IDEA The Exact - Numbers Idea : Children ‘ s Understanding of Cardinality and Equinumerosity

Efficient Cardinality Counting for Large-scale Rfid Systems

Efficient Cardinality Counting for Large-scale RFID Systems

Cardinality of Equivalence Relations

This entry provides formulae for counting the number of equivalence relations and partial equivalence relations over a finite carrier set with given cardinality. To count the number of equivalence relations, we provide bijections between equivalence relations and set partitions [4], and then transfer the main results of the two AFP entries, Cardinality of Set Partitions [1] and Spivey’s General...

Counting Practice with Pictures, but not Objects, Improves Children's Understanding of Cardinality

When counting, the final word used to tag the final item in a set represents the cardinality, or total number, of the set. Understanding of this concept serves as a foundation for children’s basic mathematical skills. However, little is known about how the early learning environment can be structured to help children understand this important concept. The current study examined the effects of t...