Partial Quotients Division vs Division Flash Cards 4th

Partial Quotients Division helps students learn and practice the partial quotients division method step by step. The app gives students a visual way to solve division problems by making a series of estimates, subtracting partial products, and adding the partial quotients together. This can make division easier to understand than the traditional long division algorithm. Students can solve randomly generated problems or enter their own division problems. The Partial Quotients Method: In the partial quotients method, students divide by making estimates that are easy for them to use. For example, in 992 ÷ 8, a student might first estimate 100, leaving 192. Then the student might estimate 20, leaving 32. Finally, 8 goes into 32 four times. The result is found by adding the partial quotients: 100 + 20 + 4 = 124. Different students can use different estimates, making the method flexible and easier to understand. Teacher endorsements: “The math apps by Esa Helttula allow students to practice and reinforce the specific computation strategies taught in class, with as much or as little scaffolding as necessary. They also provide individualized feedback to each student, with an immediacy that is not always possible through pencil and paper practice.” — Rita Zeni, Ecole Sandy Hill Elementary, Abbotsford, BC, Canada “There are students who see my examples who still need some guidance, and after using your app have said, ‘Now I get it.’ The feature of selecting possible solutions in each step helps some of my students who are still building their multiplication facts.” — Zachariah R. Prowell, Highlands Elementary, Edina, Minnesota, USA Features: - Step-by-step partial quotients division practice - Dividend can have 2–5 digits - Divisor can have 1 or 2 digits - Randomly generated or manually entered problems - Current operation can be hidden - Operands of the current operation can be highlighted - Customizable interface colors - Adjustable animation speed Other iDevBooks Math Apps: Other iDevBooks math apps include Column Addition, Long Multiplication, Long Division, Column Subtraction, Visual Multiplication Table, Partial Differences Subtraction, Partial Products Multiplication, Partial Sums Addition, Decimal Rounding, and more. Feedback: New ideas to make this app better are welcome. Please visit idevbooks.com to give feedback. Privacy: This app has no ads, no in-app purchases, and does not transmit user data during operation. The app also does not contain links to other apps or to the web.

Fluent Math uses a smart method called spaced repetition to make you master division. Practice without stress and learn to divide from memory! Practice in 5-minute sessions, preferably twice a day. Getting good at division frees up your working memory, making it easier to tackle all kinds of math problems. Just start practicing! Fluent Math figures out which division facts you need to work on, making sure you learn at your own pace and repeat at the right time. As you get better, you earn points. Reach 1000 points, and you’ve covered all the facts efficiently! Practice in a way that’s fun, relaxed, and super effective! (There is also a multiplication variant of this app, which might be good to start with. Search for "fluentmath") AUDIO FEEDBACK Audio feedback with the correct answer is available in English or the following iOS languages when set: Spanish, Portuguese, French, German, Italian, Greek, Chinese, Hindi, Russian, Japanese, Arabic, Bengali, Swedish, Danish, Norwegian and Finnish. INFO FOR PARENTS AND TEACHERS Fluent Math is suitable for students with basic understanding and strategies in place but who are not yet automatic, or for students in upper grades who don't know their facts well enough. The app allows the student to go from their own strategies to automaticity in a unique way without time pressure. It combines two of the most efficient study techniques, active recall, and spaced repetition, with feedback and individual adaptation. Read more about why the app works so well at https://fluentmath.com VARIANTS The app offers free division with numbers up to 7. Upgrade to premium for access to division with numbers up to 12. For a paid version (eg for VPP), search for "fluentmath". The app is also available as a free web app (without audio). HOW IT WORKS The entire table is reviewed in small rolling sets. Each student will progress at the right pace for them. Known facts are quickly verified. For facts not automated yet, students will have time to think and use their own strategies without time pressure. Each fact is then practiced a couple of times in succession until it can either be pulled from memory or answered efficiently. Spaced repetition with active retrieval helps in committing them to long-term memory. Learn, repeat, recall => automaticity. LONG-TERM REPETITION Since unused knowledge weakens, it is a good idea to review the tables annually. Consistent, long-term use of the app helps students of all ages with automaticity of the division tables. RESEARCH The solution has been inspired by research about active recall, spaced repetition, and interleaving.