Native Numbers vs Number Line, by MLC

*** Top Rank of #2 in Education! 350,000 kids, 70 million math tasks, and counting! *** WHAT THE EXPERTS ARE SAYING - 12 BEST Children's Educational Apps of 2012: “Native Numbers is a fabulous app, promoting deeper learning and providing a much needed foundation in math for all children.” - TeachersWithApps.com - “The kids loved the gameplay feel of the app… This is a great app to help young kids learn the concept of numbers and basic math skills.” -iHeartThisApp.com - "A Math App Worth Bragging About!" - Karen Mahon, Ed. D, Learning Scientist OVERVIEW - Number Sense is widely cited as the most critical math skill a child ever learns - Native Numbers is the first and only comprehensive Number Sense curriculum in the App Store Inspired by research, designed by Harvard Education School graduate Dr. Michael W. Connell, and developed by a team of MIT engineers, Native Numbers is the first of its kind - a complete curriculum to help early learners develop Number Sense. THE PROBLEM There are countless "early math apps" available in the App Store - but are any of these effective in laying down a proper Number Sense foundation? THE REALITY Unfortunately, most math app developers ignore the complex sequence of activities required to properly develop Number Sense. Instead, some claim to develop math knowledge as a side effect of other, non-mathematical games and activities. Others inflate a single, narrow math concept into a game that they promise will provide "hours of fun and learning." This random approach to early math simply does not work. Researchers Douglas Clements and Julie Sarama found, for example, that while it might appear that kids are "doing mathematics" when engaged with puzzles, blocks, songs, and the like, "evidence suggests that such an approach is ineffective, owing to a lack of explicit attention to mathematical concepts and procedures along with a lack of intentionality to engage in mathematical practices" (Science Magazine, Aug 2011). THE SOLUTION The National Council of Teachers of Mathematics (NCTM) and the Common Core State Standards have made Number Sense a focus area of elementary mathematics education for all children. Native Numbers is based on high-quality learning research and is designed to engage each child directly in an individualized, intrinsically rewarding learning experience while minimizing distractions – what some people call "hard fun.” (For a brief video that explains why Number Sense is so important and how Native Numbers develops it, search for "Native Numbers" on YouTube.) Native Numbers challenges children with 25 engaging and carefully sequenced activities that develop an understanding of several core concepts and skills, including: - Number Representations: Identify the numbers 1-9 as continuous quantities (rods), discrete quantities (sets of animals), and symbols (numerals) - Number Relations: Answer questions about number relationships using a variety of visual representations and vocabulary (greater/less, bigger/smaller, heavier/lighter, etc.) - Ordering: Arrange numbers in order from small to big and big to small - Counting: Use numbers to put a set of objects in order (ordinal numbers) and to determine how many objects are in a set (cardinal numbers) - Demonstrate Mastery: Apply concepts from previous activities to novel, untrained examples Recommended Ages: 4-7 (home or school) although many younger and older children can benefit as well *** Teachers - Learn about Classroom Functionality here: http://bit.ly/WHHSJ1 THE PRICE Teachers With Apps said that, "Native Numbers is a fabulous app, promoting deeper learning and providing a much needed foundation in math for all children. We highly recommend this app and please, don’t let the price stop you from purchasing this extensive curriculum, it’s worth every penny of the $9.99."

Number Line helps students visualize number sequences and demonstrate strategies for counting, comparing, adding, subtracting, multiplying, and dividing. Choose number lines labelled with whole numbers, fractions, decimals, or negative numbers. Or use a blank number line, with or without tick marks. Describe intervals between points on the line using forward or backward jumps above and below the line. Jumps can be labelled with their values or left blank. Add custom tick marks to the number line to show equivalence or compare number values. Show strategies with drawing and annotation tools. Hide elements of the sequence shown on the number line, which challenges students to use what they know about number relationships and computation to identify those missing elements. This virtual number line is an open-ended educational tool, ideal for elementary classrooms and other learning environments that use iPads. For more Number Line resources and other apps, visit: www.mathlearningcenter.org/apps FEATURES • Mark the number line with multiples of whole numbers, fractions, or decimals. In addition, set the starting value of the line, including using negative values. • Add and manipulate forward and backward jumps, above or below the line. • Label jump bars, manually or automatically, to show intervals or hide labels altogether. • Add custom tick marks and values to blank number lines. • Hide and reveal numbers on the number line. • Hide and reveal jumps, numbers, and other elements with resizable covers to create your own problems and model strategies. • Use the drawing tools to annotate work and show understanding. • Add equations, expressions, and descriptions with the math text and writing tools. • Share your work by saving an image or providing a share code to others. MORE APPS For more Number Line resources and other apps, visit: www.mathlearningcenter.org/apps LEARN MORE To learn about Bridges in Mathematics, an elementary curriculum that employs visual models like number line, visit: www.mathlearningcenter.org/bridges/overview ABOUT US This resource is brought to you by The Math Learning Center, a nonprofit organization dedicated to K-12 education since 1976. ACKNOWLEDGEMENTS This app was crafted by Clarity Innovations. We help improve teaching and learning by creating solutions that match promising technologies with the needs of education. Visit us: www.clarity-innovations.com