Mathematical Imagery Trainer 2.0.3
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Free Version
Publisher Description
Developed by Berkeley professor of mathematics education, this is an innovative entry to the concept of proportion. “Impressive”, says Edutopia
- Making Math Meaningful.
o Based on scientific theory of learning
o Engaging hands-on problem solving
o Sets off from intuitive exploration
o Gradually introduces math symbols
o Individualized classroom activity
o Rich visualization for conceptual connections
Make the bars green! How? Put your left index on the left bar, your right index on the right bar, and move the fingers up and down. Can you do it?
Sounds simple enough! Once you've found a combination that makes the bars green, can you find another one? How about another? Can you move your fingers while all the while keeping the bars green? How are you doing this? What are you noticing?
Look on the left: You've been working on “A”. Now click “B”. These horizontal lines could help you find “green” locations. Play with this for a while. What's new? Have you discovered a new technique? You can change the calibration of these lines by pressing on the arrow in the bottom-right-hand corner.
Next, click on “C”. See if these numbers help you move between green combinations. What are you noticing this time?
Finally, click “D”. Same game, but now you get to input numbers in a ratio table. Are your shapes green? Study the table: figure out shortcuts for predicting green number pairs. Click the arrow to make the bars go up and down in green.
The Roman numerals take you to different ratios.
Use Easy/Medium/Hard option to control how precise you must be to get green
Use Settings to create your own secret ratios for the four conditions.
Teachers:
o Proportion is challenging because it is a multiplicative, not
additive concept, so it breaks away from students' arithmetic habits
o Use this app to introduce the topic in primary school or revisit
it in middle school. Have your students discuss their strategies.
o Ask students what was surprising for them. Students will say that
they found a “green” pair, then moved both fingers up, but the bars went red.
o Here's what students will discover for the 1:2 ratio:
o The fingers need to move in different ways.
o The right finger needs to move double the speed of the left hand.
o It's about the relation between where the two fingers are at.
o The distance between the fingers needs to grow as you go up.
o For every 1 unit you up on the left, you go up 2 on the right.
o Wherever the left finger is, the right finger should be double as
high.
o Get your students to explain how come all these different
strategies give the same outcome. This brings up multiple meanings of ratio and proportion and helps everyone build connections.
o With the ratio table, help students:
o see their strategies in the numbers;
o discover multiplication shortcuts.
o Discuss real-world situations, such as leaving home at the same
time on a bike(kid) and car (parent). Contrast with non-proportional situations such as two siblings' ages now and when the younger one is double as old.
Jul 22, 2019
Version 2.0.3
Now compatible with new iOS versions.
About Mathematical Imagery Trainer
Mathematical Imagery Trainer is a free app for iOS published in the Kids list of apps, part of Education.
The company that develops Mathematical Imagery Trainer is Terasoft, a.s.. The latest version released by its developer is 2.0.3.
To install Mathematical Imagery Trainer on your iOS device, just click the green Continue To App button above to start the installation process. The app is listed on our website since 2019-07-22 and was downloaded 1 times. We have already checked if the download link is safe, however for your own protection we recommend that you scan the downloaded app with your antivirus. Your antivirus may detect the Mathematical Imagery Trainer as malware if the download link is broken.
How to install Mathematical Imagery Trainer on your iOS device:
- Click on the Continue To App button on our website. This will redirect you to the App Store.
- Once the Mathematical Imagery Trainer is shown in the iTunes listing of your iOS device, you can start its download and installation. Tap on the GET button to the right of the app to start downloading it.
- If you are not logged-in the iOS appstore app, you'll be prompted for your your Apple ID and/or password.
- After Mathematical Imagery Trainer is downloaded, you'll see an INSTALL button to the right. Tap on it to start the actual installation of the iOS app.
- Once installation is finished you can tap on the OPEN button to start it. Its icon will also be added to your device home screen.
