MathTappers vs Number Frames, by MLC

MathTappers: Find Sums – learn basic facts for addition and subtraction Version 2.0 Description MathTappers: Find Sums is a simple game designed to help learners to make sense of addition (and subtraction), and then to support them in developing accuracy and improving their speed. Please go to MathTappers.com for additional information on all of our apps. For Parents: There are two modes provided to support your child as they play the game. The first mode is designed for younger learners and uses a picture of a grid in which apples are placed and both apples and blank spaces can easily be counted. The goal is to choose a pair of numbers that cause all of the un-shaded spaces to be filled with apples. The second mode uses a symbolic part-part-whole model designed to help older learners to efficiently and accurately recognize addition and subtraction facts. In this mode the goal is to pick two numbers that when placed in the top spaces add together to equal the value in the bottom space. The focus should always be on sense-making and accuracy before speed. Ask your child to explain how they know what the other number should be and what strategies they are using. Remember that this game is not intended to replace instruction – but rather to supplement it with a self-paced activity to support mastery and fluency. Mastering the concepts of addition and subtraction and building fluency in recalling the basic associations presented in this game are essential to success in later mathematics. Fluency is an individual attribute – challenge yourself with the game to get a sense of what levels of fluency you might expect your child to achieve. For Educators: MathTappers: Find Sums is designed to help learners to master basic addition and subtraction facts with understanding and then to encourage them to continue playing to develop efficient strategies and eventually improve their recall speed (fluency). This app doesn’t rely on the ‘magic’ of flash cards but rather presents useful models to support learners as they make sense of addition and subtraction. Although the game appears to be focused only on addition – subtraction is an inherent part of their activity and learning. Learners using this app are developing a sense of the relationship between two addends and a sum - providing them with opportunities to master both addition and subtraction facts concurrently. You cannot really understand that 7+3=10 or 3+7=10 without also understanding the rest of the fact family – i.e., that 10-7=3 and 10-3=7. It is expected that working with groups of fact families that share a common sum (e.g., sum to 10) will help learners to make connections between these families and synergistically enhance their mastery process. About: Design: Tim Pelton & Leslee Francis Pelton Programming: Mike Anderson, Joshua E Smith, Chris Rail & Garrett Reimer The designers of the MathTappers Apps are math educators and researchers seeking to create simple games that will help learners to make sense of mathematics one concept at a time. In each App we try to present at least one useful visual model to support learners as they strive to master the challenges presented. The regular version of each app is provided to users for free and is designed to be useful as-is. In addition, most MathTappers Apps offer an option to expand the feature set for a minimal fee. Revenues received from these upgrades will be used to support research on the educational utility of MathTappers Apps and further refinement and expansion of the MathTappers App collection. Play, Explore and Understand! Tim Pelton Web Site MathTappers: Find Sums – a math game to help children learn basic facts for addition and subtraction Support

Number Frames help students structure numbers to five, ten, twenty, and one hundred. Students use the frames to count, represent, compare, and compute with numbers in a particular range. The frames allow students see quantities as equal groups of other quantities and in relation to benchmark quantities. This helps primary students move away from one-by-one counting toward more efficient ways of counting and computing. As students advance, custom frames can be constructed to help visualize factors, products, fractional parts and more. These virtual versions of number frames are open-ended educational tools, ideal for elementary classrooms and other learning environments that use iPads. Number frames are a key model used in Bridges in Mathematics, second edition. Online preview available at: www.mathlearningcenter.org/bridges FEATURES: • Use standard 5-, 10-, 20-, and 100-frames, or create custom frames up to 12 x 12. • Choose from a variety of counters and colors. Drag single counters — or stacks of 5 and 10 — into frames or on to the workspace. • Apply a 5s grid to frames to emphasize every 5th line and reinforce grouping by five. • Hide and reveal counters 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