Three years ago, I wrote a post about Photomath, a software capable of scanning and solving equations using phone cameras. I haven’t used the software in a while, and recently discovered that it also has added a capability of graphing functions. It can now graph polynomial functions, rational functions, and trigonometric functions, exponential functions, and logarithmic functions. Recent improvements also allows solving for exponential equations, derivative, integrals, and limits.
Shown below are some examples. I scanned handwritten equations of functions and graph them.
To use Photomath, just open it, click the Camera icon and point to then expression or equation.
To view the graph, click the red rectangle containing the equation at the bottom of the screen.
Aside from the graph, the output also shows some important information about the function such as its x and y intercepts, domain, minima/maxima.
I think Photomath is a very good software that can be used for learning mathematics. Students can use this app to verify answers and also to explore graphs. Photomath is a free app and is both available on Android and iOS.
For iPhone users, the long wait is over. In case you missed it (I missed it actually), GeoGebra has released the GeoGebra Graphing Calculator for iPhones last December. I have only personally used the app for a week and I’m really satisfied with its performance and speed on my old iPhone 5.
image via GeoGebra blog
For those who have not tried GeoGebra, it is a free and open-source software for teaching mathematics. We have a lot of tutorials about it here which I’m going to update to the current version of GeoGebra this year.
GeoGebra is available for desktop computers, tablets, and Android phones. It comes on multiple platforms including Windows, Mac, and Linux. You can also install it in the Google Chrome app.
There are two recent updates in GeoGebra, the first one is the GeoGebra Exam Mode and the second is the GeoGebra Followers feature for its website users.
GeoGebra Exam Mode
One of the recent developments in GeoGebra is the GeoGebra Exam Mode. In this mode, students can use GeoGebra while taking exams. If a student leaves the the GeoGebra window, the GeoGebra toolbar will turn red (see below) and logs the time and duration the student left the window, so teachers would know if students used other programs.
You can access the GeoGebra exam mode here. It runs in major browsers (Chrome, Firefox, Internet Explorer 11, Safari). It also runs in full screen, so students cannot use any other program while using it. Further, it can be customized allowing access to selected features (e.g. you can disable the CAS window). Continue reading
In the previous post, I have shared to you the advantages of using Wolfram Alpha. In this post, I am going to list some of the basic calculations that can be done using the same app. Note that you can use these commands both in the iOS version or the web version.
1. Do Basic Arithmetic with Integers, Fractions, and Decimals
150 + 32
1200 – 3
15.8 * 2.5
1/5*(3 – 8)
2. Compute Decimal Approximation to a Specified Number of Digits
pi to 1000 digits
e to 50 digits Continue reading
It’s been a while since I have written about GeoGebra, but I have started updating some of the tutorials to GeoGebra 5. For those who have not explored the Archives, I have written numerous GeoGebra tutorials ranging from basics to advanced.
GeoGebra is now version 5.0. New features were added and a lot of improvements had been made. The 3D is now stable and 4 new tools were added. The Insert Image tool now support SVG files. But aside from these, there are simple updates which I really like and I think teachers will also love them. Here are four of them.
1.) Automatic Color Change
Every time you graph a new function in the current version of GeoGebra, it automatically selects a different color. You don’t have to trouble yourself changing the color of the graph of the new functions. Continue reading