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Hop aboard the Numbers Express with our Numbers Engineer, who helps you learn to count by playing games and singing songs! From a very young age, kids are working to understand mathematical ideas. They see objects as “more” or “less” when they pick the biggest piece of cake at a birthday party. They gain a sense of subtraction when a favorite toy is taken away and understand the basis of addition when they ask to read one more story at bedtime. So how do we help young kids make connections from these ideas to a deeper, more concrete understanding of numbers? We need to facilitate their development of number sense, understanding what numbers mean, how they work together, and how they connect to real life. Kids with strong number sense go on to be more successful with mathematics because they understand the concepts behind the algorithms. To help kids build number sense, start with these three strategies. Look for Math Around You: The first step toward getting children to make sense of numbers is to see numbers as a sense-making tool. Talk about the math you use in your life, such as counting out snacks or comparing prices. Having specific examples of how numbers are used in the real world helps kids understand why they’re so important. Once students recognize this real-world application, they’re more excited to learn about math. When you see kids applying mathematical concepts, point it out. Notice children counting? Say, “You sure know a lot about numbers!” See kids comparing their heights? Say, “You’re comparing lengths. That’s amazing math!” This acknowledgement of their use of numbers in real-life situations helps children see themselves as mathematicians. Focus on the Process, Not the Answer: When students practice counting, they’re learning one-to-one correspondence, or how to match each object they’re counting to each number they’re saying. To help them practice this concept, give kids large groups of objects to count, and allow them to work independently. It can be tempting to jump in and correct simple mistakes, such as counting an object twice or skipping one, but resist the urge. Instead, ask children to double-check their answers. By giving them the opportunity to find their own mistakes, you’ll better facilitate their understanding of number sense. As your class moves into solving addition and subtraction problems, follow the same approach. Encouraging your students to discuss how they came up with their answers gives them an opportunity to vocalize their thought process, which is critical for self-correction and developing an understanding of different strategies for solving problems. Develop Math Practices: The Common Core Math Practice Standards describe the skills that students need in order to be successful mathematicians. Even at a young age, building number sense goes hand-in-hand with developing these skills. By getting into the habit of checking their work, kids are “making sense of problems and persevering in solving them”. To develop a deep understanding of math, we want children to get into the habit of asking themselves if things make sense as they work with numbers. The sooner we start, the better! When kids explain their thinking and learning from other people’s strategies, they are “constructing viable arguments and critiquing the reasoning of others”. This helps them see that though math problems may have one right answer, there are multiple ways of solving them. Analyzing these strategies builds number sense and the ability to think flexibly about numbers. No matter what approach you take, the most important thing you can do is to help children see math as fun. When you start looking for ways to build number sense, you’ll be amazed at the mathematical connections you’ll find around you. By helping your students appreciate the numbers that surround them, you’re helping them foster a love of learning that will last a lifetime. A numeral is a symbol or name that stands for a number. Examples: 3, 49 and twelve are all numerals. So the number is an idea, the numeral is how we write it. The most familiar numbers are the natural numbers (sometimes called whole numbers or counting numbers): 1, 2, 3, and so on. Traditionally, the sequence of natural numbers started with 1 (0 was not even considered a number for the Ancient Greeks.) A number is a count or measurement that is really an idea in our minds. We write or talk about numbers using numerals such as "4" or "four". But we could also hold up 4 fingers, or tap the ground 4 times. These are all different ways of referring to the same number.