What is the definition of number sense?

Number sense refers to a broad understanding of numbers and their relationships, which includes the ability to count accurately as well as comprehend how numbers interact with one another. It encompasses an intuitive grasp of numerical concepts and their applications in various contexts, allowing individuals to make sense of quantities and solve mathematical problems effectively.

The correct answer emphasizes the importance of both accurate counting and understanding the relationships between numbers, which is essential for foundational mathematical skills. This understanding enables children to progress in their math education, facilitating operations like addition and subtraction, and guiding their ability to tackle more complex mathematics as they advance.

In contrast, memorizing numbers alone does not contribute to a comprehensive understanding of their meaning or use, while recognizing geometric shapes is a different skill that pertains more to understanding spatial relationships rather than numerical ones. The ability to add and subtract is an important mathematical skill but does not encompass the broader concept of number sense, which includes an appreciation for numbers and their relationships beyond just computational abilities.