Partial Quotients Division
iOS Universal Education
This math app can be used to teach and study the partial quotients division method. The app is easy to use and it has an intuitive interactive interface with customizable colors and other settings. The user can solve random and custom division problems.
Endorsed by teachers
Rita Zeni, Ecole Sandy Hill Elementary, Abbotsford, BC, Canada:
"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. Being able to adjust the level of difficulty to suit their needs is also very motivating for the students. I am so glad to have come across this great educational tool!"
Zachariah R. Prowell, Highlands Elementary, Edina, Minnesota, USA:
"In my class I have used them to assist students with seeing the steps to properly completing multiplication opperations such as partial products and partial quotients. 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. They can gain experience in using these new concepts but not be left behind.
Helping student understanding are the animations. They are smooth and really illustrate a step-by-step understanding of how to complete new styles of multiplication.”
The Partial Quotients Division Method
The traditional long division method can be difficult to understand because it is so abstract. In the partial quotients method the student can make a series of estimates and then add the estimated quotients together.
In the example 992/8 the first estimation can be 100, which leaves 192. Next estimation can be 20 which leaves 32. Now the student knows that 8 goes 4 times into 32 and the result can be found by adding up the partial quotients 100, 20 and 4. Each student can use the quotients that he or she finds the easiest.
In the Everyday Mathematics curriculum the partial quotients division method is the focus algorithm for division.
The App is Easy to Use
After the user solves each operation or inputs a new estimate, the correct answer will fly to the right place. If the user presses the wrong button or gives an impossible estimate the answer will appear above the keyboard but it will not move.
- The dividend can have from 2 to 5 digits
- The divisor can have 1 or 2 digits
- Random and custom problems
- The current operation can be hidden
- The operands of the current operation can be highlighted
- Colors of the interface can be changed
- The speed of the animations can be set
- Open worksheets of up to 10 problems that are made on the iDevBooks.com site
Other iDevBooks math apps
iDevBooks math apps have been reviewed and endorsed by Wired.com, IEAR.org, Edudemic.com, Teachers with Apps, and other respected sites and organizations.
Some of the other over 30 iDevBooks math apps are Column Addition, Long Multiplication, Long Division, Column Subtraction, Visual Multiplication Table, Partial Differences Subtraction, Partial Products Multiplication, Partial Sums Addition, Decimal Rounding, etc.
Feedback and requests for new features
New ideas to make this app better are welcome. Please visit idevbooks.com to give feedback.
This app has no ads or in-app purchases and it does not transmit any data during the operation of the app. This app also does not contain any links to other apps or the web.
- open worksheets from app (new worksheets can be made on the iDevBooks.com site)
- support for iOS 10.0
- support for shared iPad in school environments
For more information about worksheets and other new features of this version please visit idevbooks.com. Please also get in contact if you have any feedback or you want information about 32 iDevBooks math apps.