Chapter 1
Mathematics (P–5)
Course: Gace 702 Elementary Education P 5 Study Guide
Subject: Gace 702 Testlet 002 Mathematics P 5
Chapter: Mathematics P 5 5929 10759
Overview
Number sense is the foundation of all mathematical understanding in elementary grades. Children in Pre-K through 5th grade develop increasingly sophisticated understanding of numbers — what they represent, how they work, how they relate to each other, and how to use them to solve real-world problems. This lesson explores counting and cardinality, place value, the four basic operations, properties of operations, fractions and decimals, and research-based strategies for teaching number sense. Understanding how children develop mathematical thinking helps elementary teachers provide instruction that builds deep conceptual understanding rather than just procedural skill. Research consistently shows that strong number sense in the elementary years predicts mathematical success throughout schooling and into adult life, while weak number sense creates persistent difficulties that compound over time.