Partial Product Multiplication vs TheDLA

Partial Products Multiplication helps students learn and practice the partial products multiplication method step by step. The app gives students a visual way to multiply numbers by breaking the problem into smaller partial products. The partial products are then added to find the final answer. Students can solve randomly generated problems or enter their own multiplication problems. The Partial Products Method: In the partial products method, each place value is multiplied separately. For example, in 39 × 24, the partial products are 36, 120, 180, and 600. These are then added together to get the final answer: 936. 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.” — R. 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.” — Z. R. Prowell, Highlands Elementary, Edina, Minnesota, USA Easy to Use: The numbers are aligned automatically so students can focus on solving each step. After the student solves each partial product, the correct answer moves into the right place. If the student presses the wrong button, the answer appears above the keyboard but does not move. Features: - Step-by-step partial products multiplication practice - Each number can have 2–3 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 Quotients Division, 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.

TheDLA Cool Science! TheDLA gives you an essence of pattern formation mechanism in nature. Also, it makes very unique attractive images for you. I wrote a brief description about DLA pattern and TheDLA app in following URL. Please read it! https://sites.google.com/site/dueyama/home/thedla “The DLA” stands for ‘The Diffusion Limited Aggregation’, and it is one of the simplest models that makes complex dendritic pattern. Now, we are talking about Science. You see, there are two types of particles on the field. One is the free particle that moves randomly. Another is the fixed particle that does not move. The free particle attaches to cluster of the fixed particles when it reaches around them. Such a simple pattern forming mechanism builds the attractive complex patterns and this very scientific system is applied for you to have funny hairy nose. But first of all, please check the usage. So, you will be able to enjoy not just hairy nose, but the various patterns YOU are going to create. It is quite amazing that such randomness sometimes create forms and patterns you can find only in nature. Please enjoy the patterns and think why such dendritic patterns appear. If you would like to search the web, keywords may be “DLA” and “Dendrite”. http://en.wikipedia.org/wiki/Diffusion-limited_aggregation To start with, there is a single fixed particle at the center of the field when you start. Usage: - Double tap: Put the fixed particles at the point. The size is possible to change in the setting. - Single tap: Remove the fixed particle at the point. - 2 fingers double tap: Remove all fixed particles from the field + etc. - 2 fingers pan: Pan the field. - Long pressed pan: Draw fixed particles like a pen. - Long pressed pan after a tap: Eraser. - You can chose color to paint the branches. - A “g” button toggles the acceleration sensor of the device (only for the device that has the acceleration sensor). The free particles drift to the direction of the gravity. - Can export the image to the photo library, Twitter and Facebook. In addition, the face detection technology in iOS is used to put the fixed particles on eyes position in the photo. When you are in the Anim mode, exporting the image to the photo library make a GIF anim. So, enjoy patterns! Enjoy science!