Build a lasting foundation for math proficiency right from the start The ‘math’ is on the wall: unless we can instill in our youngest mathematicians a solid understanding of number sense, they have little hope of mastering the more rigorous fractions and algebra that lie ahead. A key piece is identifying precisely where students are likely to struggle, then intervening with smart, targeted instruction. That's where Witzel and Riccomini's Building Number Sense Through the Common Core fits in.Grounded in research-supported instruction with aligned assessments to ensure comprehension, this essential resource provides: Teaching strategies that build number sense skills, including quantity and cardinality, numeral/number recognition, fact fluency, math language, and moreAdaptations for students with specific needs, including English learners and students with disabilities, based on an RTI approach Guidance on measuring number sense through assessments and preparing students for standardized testingUser-friendly charts, tables, and sample math problems for planning curriculum and lessons Discover strategies that enable your students to develop a fundamental sense for numbers and create a lasting foundation for math proficiency! ‘The authors describe how each common standard should be taught, which makes this a quick and immensely useful resource. I've already begun using the strategies with my fellow teachers.’ Deborah Gordon, Third-Grade TeacherMadison School District, Phoenix, AZ ‘This is an evidence based, accessible manual on how, why, and what to teach. Well written with effective examples and scenarios to illustrate key points, this book should be read by anyone interested in improving outcomes for children in mathematics.’ Annmarie Urso, Assistant ProfessorState University of New York at Geneseo

# Chapter 1: Introduction to the Characteristics of Number Sense

### Introduction to the Characteristics of Number Sense

Introduction to the characteristics of number sense

To achieve in mathematics, students must acquire a good sense of numbers early in their academic career.

### Introduction

A young boy and his father visit the beach for the first time. They leave their hotel, lay down their towels in the sand, and then run to the water. Immediately, they fall in love with the waves. They splash wildly among them, riding the surf into shore and then running out as far as the waves crest. They do this back and forth for about an hour. After exhaustion, they decide to check back to where they laid down their towels. However, when they turn to the shore, nothing looks the same. In ...