TSBVI Coffee Hour Accessible, Interactive Math with Desmos 01/14/2021 >> Kaycee: Hello. Welcome everybody. We'll wait just a couple of minutes as everybody joins us. In the meantime, while we're waiting, if you want to set your chat from all panelists to all panelists and attendees, that will allow everyone to see your comments and questions. Again, that's in the chat where it says "To" there's a drop down menU that should say all panelists and attendees and everybody will be able to see your questions and comments. While we're waiting if you want to post in the chat where you're from we always love to see where everybody is coming in from. . New Jersey, Michigan, Philadelphia, North Carolina, Maryland, Baytown, Texas. Dripping springs. Colorado. Maryland. New York. DENTON, Texas. We just learned that's where Steve is from. Canada. Montana. Austin. Oregon. It's going so fast. Delaware. Scotland. Welcome. Missouri. Awesome. Thanks so much for joining us everybody. We've got people from all over today. . I'll go ahead and get us started. If you have a question or comment during the time our presenters are speaking please post that in the chat box and make sure again that it says all panelists and attendees. Your microphones and cameras are automatically muted, so you don't need to worry about that. The handout for today's session will be shared in the chat for immediate viewing and will also be available for later viewing along with the recording of this and past Coffee Hour sessions shared through our website link. Scroll down under the list of sessions where it says visit the new TSBVI Outreach Coffee Hour archives. That is the link that will take you to the recordings, handouts, transcripts and chat information. To obtain your CEUs for today respond to the evaluation that will be e-mailed to you from our registration website ESC works. You will enter the code given at the end of today's session and the certificate will automatically generate. There's no opening code, only a closing code given at the end of the presentation. We'll stop at 12:55 to give you the code and announcements. I'm happy to present today's speakers. >> Jason: Thanks so much, Kaycee. I'm Jason Merrill. I want to thank TSBVI for inviting us to be here today. It's a really neat opportunity and thank you all for joining us. I'm an engineer at Desmos. These days I'm leading the engineering of our tools, including our calculators and our construct active geometry tool. Steve, would you like to introduce yourself? >> Steve: Certainly. Thanks, Jason and thank you somebody for hosting us today. My name is Steve Clower. I'm also on the engineering team. I primarily handle anything and everything that's accessibility related at Desmos. So very happy to be here today. >> Jason: I'm going to spend some time speaking about our calculators today and the ways we try to make them as accessibility to our audience as possible. Before I dive into the videos, I want to share a few slides about our philosophy at Desmos. Our mission at Desmos is to help every student learn and love math. Accessibility is a really important part of this mission. We think everyone including people with disabilities should have access to math. As I mentioned, I'm an engineer, not a teacher. We have a really great teaching faculty at Desmos and I've had a chance to learn a lot from them over the years. Our teaching faculty works on building curriculum and also helping us steer our products to make sure we're building things that are useful to real teachers in real classrooms. And one of the insights that I picked up from our teaching faculty is this: Great math teaching attends to verbs, which means when students are learning math, they should be doing a variety of interesting activities. I think one that lots of people immediately think of in math class is calculate, but there's many more than that. So a few examples are estimate, predict, sketch, graph, construct, discuss. And so when we're thinking about introducing technology into a math classroom, it's important that a technology should support a variety of interesting verbs. If students are in front of their computers they shouldn't just be doing one thing, they should be doing lots of interesting things. The same goes for accessibility. So if we're to consider technology accessible, it should support students in doing a variety of interesting mathematical activities. I also think it's important when we're thinking about new technologies to evaluate them in terms of tested strategies the teachers have been using to support students with disabilities for decades or even centuries, and make sure that we're sort of using the best tool for the job. So I wanted to call out a few examples of well-established techniques that people have used to support their students. So an abacus is a really nice tactile tool for doing simple calculations. Embossed Braille gives blind people access to the rich symbolic notation to let them do the same thing mathematicians do with their symbolic notation. Tactile graphics give people access to shape and geometry, and a drafting board allows people to quickly sketch mathematical ideas. And so when we're thinking about developing new technologies, some of the questions we have are like can we recognize the advantages of these strategies and think about ways to improve them? So, for example, could we have a simple tool for calculating like an abacus that helps students show their work? Or could we give math students access to Braille to read and write math notation while reducing the labor in transcribing back and forth between in print and Braille? Could we allow a student to plot a graph of a function and discover its shape in seconds instead of minutes? And then finally coming back to our math of interesting verbs, I just want to point out discuss. It's a really important part of math class. Students benefit from hearing their peers thinking, refining their arguments through discussion. And when we're thinking about supporting students with disabilities, when we can allow them to be part of the same discussion as all their peers, that's a really important advantage. And so if a technology can be used by mainstream students and also students with disabilities, it makes less separation between the students, allows them to benefit from discussion with each other. So we're often thinking about how can we take a tool and make it available to everyone instead of having a tool that's only for a certain category of students? So that's a little bit about our philosophy. Now I believe go ahead and dive into demos of a few of our accessibility features. So this is Desmos.com. This is our home page. Everything I'm going to be showing today is accessible from here and freely available. So you can try any of this out right away if you want to. There's a list of our math tools here up at the top of the page. I'm going to spend most of my time today talking about the scientific calculator and the graphic calculator, but there's several other tools that you might be interested in. So we'll start off with scientific calculator. It's for doing simple calculations with numbers, so maybe the most obvious thing would be like 1 plus 1 equals 2 over here. So the first thing that I often do when I'm presenting this is go to our little settings menu here and turn on projector mode. This makes everything bigger, a little bit easier to see in a presentation. This may also be easier for students with low vision because it makes all the keys and the type a little larger. I want to go through a quick example here and I'm going to do it with my screen reader on to demonstrate using a screen reader to read and write math notation. I'm on mach OS so I'm going to -- if you're on windows you might want to use jaws or if you're on chrome boom, you might want to use chrome box. We pay attention and make sure our software works with all of them. I'm going to flip on my screen reader. Clear this out first. (Computer voice) Now I have my screen reader running and I'm going to do a simple math problem here. So suppose I want to buy 3 dozen doughnuts. How many doughnuts is that? I'll calculate that as 3 times 12. (Computer voice) Sorry. (Comp -- computer voice) Sometimes -- as I'm typing usually my screen reader will read in what I'm typing so I wrote 3 times 12 and as soon as the calculator can compute an answer it will tell me 3 times 12 equals 36. Now suppose the doughnuts KOS $40 each. There's a button for referring to the previous answer or I can just type on the keyboard ANS. That represents the answer to the previous calculation. Now I want to multiply it by 40 cents or I'll do times 0.40 to do it in dollars. (Computer voice) All right. So if I buy 3 dozen doughnuts and they're 40 cents each -- suppose I have a coupon for a 20 percent off sale, then what will the cost be? I'll go to a new expression here. And we'll do 80 percent of the previous answer. So I'll type 80. When I type percent, Desmos automatically fills percent of -- we found the percent button on some calculators to be confusing so we always want you to be taking a percentage of something that's specified and I'll just do 80 percent of the previous So now I can see that (computer voice interrupting) Okay. >> Kaycee: This is Kaycee. It was reading the comment or question that just came in which is are you using the on screen keyboard or inputting them? >> Jason: I'm mostly inputting things on my keyboard, but either way is fine. The on screen keypad is the main way if you're on a mobile device. When I'm sitting in front of a laptop I find it much faster to use the KWERT keyboard. Let me turn that voice off for a minute while questions are coming in. Everything you can do with an on screen keypad you can also do with a KWERT keyboard. >> Kaycee: To tell it to multiply, people have asked what did you do you say? >> Jason: That's the star. It's like shift 8. So like if you were sort of writing a plain text e-mail to someone we try and follow a lot of the notation that people have used there. So that's the asterisk above the 8 key. So now I want to do one more extension to this scenario which is -- I'll turn my voiceover back on. I see that with my coupon the doughnuts cost $11.52. Suppose I have 16 bucks in my pocket and I want to know could I actually get 4 dozen doughnuts? Now we can go back to the first expression where we calculated how many doughnuts is 3 dozen or you can just change this to 4. So now we see that's 48 doughnuts. (Computer voice) at full price they'd be 19.20 but with our coupon -- (computer voice interrupting) Yes. Sorry. All this can be done with a KWERT keyboard. Or with touch. Everything is designed to work either with on screen controls or the KWERT keyboard. >> Kaycee: How are you moving up and down? With your arrow keys? >> Jason: Either that or tab and shift tab which is what I was doing, which will move you between each row of calculation and enter to make a new calculation. So just to say the conclusion with my coupon, 4 dozen doughnuts is $15.30, so with 16 bucks I can afford 4 dozen doughnuts. I want to point out a couple things. Everything that was part of this multi step calculation is on screen now so I can see everything I punched in. It's maybe a small thing, but on pocket calculators the default has been that as you calculate more things, your previous work goes away and it's easy to forget where you are. In Desmos we try to use math notation like you see in a book. We show every part of your calculation, and you can go back and edit any part of this. So we saw changing 3 dozen to 4 dozen. This is really useful if you made a mistake, but also for exploring different hypotheses as you're thinking through a math problem. I want to point out these things because I think all of them make it easier to avoid and recognize mistakes and lower some of the unnecessary cognitive overloads that have gone with calculators. And this is true for everyone. But we think usability is one of the core components of accessibility. So in a lot of cases if you can improve the usability for everyone you're also improving the accessibility for people with a disability. >> Kaycee: A question came in if tread -- >> Jason: A couple good ways to -- the best way to get a sense of the scope of what's possible in this calculator is to look through the on screen keypad. We have sign codes and 10 here. We have toggle here. If I want to calculate the sin of 90 degrees, I can do it that way. To see all the other functions available, there's a tab for function keys. We have TRIG functions, power functions, log right themself and a few statistics basis here. There's also an in this version you can do things like assign a number to a variable and use it that way. Best way to get a sense of what's possible is to take a look at the three key pads and see the keys that are there. So next I want to talk about Braille. I'll give one more moment if there's additional questions before we move on. >> Kaycee: One more. How do you enter the sin tank gentleman with the keyboard? Do you just (tangent) type it or how do you do that? >> Jason: Great questions. For sin co-s you can just type S I N and I can type 90 there if I want to. For square root there's also a short cut key sequence. If I want to do a square root I can do S Q R T. That turns into a square root. Later on in the presentation I'll show with the resources an exhaustive list of the keyboard shortcuts for entering all of the math notation that's on the screen here. In general, it's like you type a sequence of a few letters. So like one more example is if I want PI I just type P I and it turns into PI. Great. So I want to move on and talk a little bit about Braille. We've seen using the screen reader for reading and writing equations. This can be really convenient, but we think Braille is an important part of a student's math development. For the same reason that math students have developed a symbolic notation it's really useful for -- it helps you with being able to sort of take in a equation at your own pace, rearranging and simplifying. There's a lot of advantages of thinking symbolic So we've made it possible to read and write all of these same math notations in Braille. So the way to access Braille in the Desmos calculators is through this wrench settings icon here. We already use this for projector mode. You'll see also Braille mode we have a choice of Nemeth or UEB. I think Nemeth has been the most popular Braille mathematics in North America, but UEB is a code certain states are adopting, so we support both of these. I'm going to go ahead and flip the calculator to Nemeth Braille mode. When I do this, all the work I've already done is automatically translated into Nemeth Braille. On screen we show a representation of the Braille dots and also the in print notation that represents the same thing. Over on the right we have the results of every calculation. Now, Braille mode for blind people is really primarily designed to be used with a refreshable Braille display like this one. This is a smart beat tell. It has keys across the top representing each of the dots and this is how I would type Braille and across the bottom here there are refreshable Braille cells with pins that will pop up to represent a character of Braille. I can hook this up by either USB or Bluetooth and type on it or read on it. Maybe a teacher who's interesting in learning about Braille or is helping a student learn about Braille, there's another way to write Braille with a KWERT keyboard. So this is the 6-key Braille input and I'm going to use that today because I'm sighted and I find it most convenient to use my KWERT keyboard. What this let's me do is use SDF and JKL the same way as a sort of perk kins style Braille input or those keys. I'm going to clear this out and talk through one example of writing Braille math expression. We give a few simple examples of math notation. I'm going to do the first one. Since I'm in 6 key mode I'm punching down a combination of S and J K L to type this in. So a numeric indicator, if I'm on a refreshable Braille display, I'll be able to read the expression that I'm editing on the refreshable Braille cells and then if I want to see the answer, I press tab and this will cause the answer to pop up on the refreshable Braille cells. You can have as many expressions in this mode as you want. One of the things I think is really neat about this is that we can automatically translate back and forth between INK print and Braille. I can flip Braille off and suppose I wanted to make this 1 plus 2 over 3. And then I can flip back into Braille mode. So this is designed to try to make collaboration easy between blind people and sighted people either between students or students and teachers. We have also made some effort to make it really legible on the screen so you can have a discussion about what you're doing as you're working with Braille. We can also translate the same thing into UEB. I think this can also be useful for people who are just learning about Braille. So suppose that I forget what the notation in Braille was for scare root. I could -- square root. I could flip back over to the visual input and either use the square root keep or type SQRT of 2. Translate back into Braille and be reminded of the Braille symbols for start square root and square root. I think that covers most of what I wanted to say about Braille equation editing. I wanted to pause here for any questions folks might have. >> Kaycee: We have a question on if you can open Desmos on a Braille note device. >> Jason: Yeah. So you can open Desmos in anything that can run a modern web browser. The Braille note touch certainly can run Desmos through the web. The Braille note touch also has its own built in software called key math. They've also partnered with Desmos to use some of our technology to produce graphs directly from key math. You can either use us through the web or use key math. I think there's other Braille note devices that act more like a simple refreshable Braille display. So if it doesn't have a screen you can hook it up and use it more like a keyboard on the web. If you have the Braille note touch, then you can do the whole thing on that one device. >> Kaycee: If you can cut and paste your work and save it into another program like Word, for example? >> Jason: You definitely can. What this is going to cut and paste as is kind of an ASCII. ASCII means basically A through Z and 0 through 9 letters and numbers. There's equivalence between Braille cells and letters and numbers. So I can paste this in the URL bar to show what it would paste into something like Word. Every Braille cell is equivalent to some character so if you don't know this code or you're not interested in it it might not be the most legible thing to paste directly into Word. Certain symbols turn into other symbols. You can also copy and paste between different expressions. One more way of getting output here is from this wrench menU when you're in one of the Braille modes you can click down load Braille equations and that will down load your work as a VRL file which will allow reading on one of these stand alone refreshable Braille devices. It can also be input into some other tools for formatting home work, including Braille. >> Kaycee: I think we're all caught up on questions right now. >> Jason: Great. In that case, I will move on and we'll talk a little bit about the graphing calculator. To get to the gaffing calculator I'm going to start again from the home page, math tools, graphing calculator. Whoops. Okay. So this is a Desmos Graphing calculator. The input is going to work really similarly to the scientific calculator but now everything we type will also produce a graphic representation. First thing I'm going to do is use the similar settings set to turn on the projector mode to make everything larger and bolder. I'm also going to go ahead and turn on my screen reader here again. The first thing I'll type in is an equation, so I'll -- (computer voice interrupting) That's so frustrating. The key that usually tells my voiceover to be quiet seems to not work when stuff comes in over the chat. Apologize about that. I'm going to turn the screen reader back on and type a couple of equations. If folks could hold questions. Let me talk here. Sorry that the chat interrupts me. Then I'll make sure to give an opportunity for folks to ask questions. All right. I've got my screen reader on. I'm going to type Y equals X squared minus a half. (Computer voice.) So as I was typing, the screen reader is giving me context about what I've typed. Also every time that the thing that you've typed could possibly represent a graph we just go ahead and immediately graph it. And the screen reader will eventually tell me it recognizes a graphable thing and give me some options for hearing it in audio trace. We'll turn on audio trace in a second. I just want to point out as I navigate through pieces of the expression the screen reader will also give me some context about where I am, so I'm going to use the left arrow to navigate through this fraction. (Computer voice) So the screen reader is telling me now I'm before a fraction and it also reads out things like when I'm in an exponent and when I get back to the baseline. (Computer voice) All right. And again I can have as many expressions here as I want, so I'm going to go ahead and just type one more. Y equals KOS of S. (Computer voice.) All right. So now I have a couple graphs and I want to hear an audio representation of them. Since I have my screen reader on, it's GRIFG me a cue that I can get into audio trace with a keyboard option T. I want to show on a different way to turn it on that's new, so I'm excited about it. The graphic calculator has an on screen keypad. It started off hidden to me but this is similar to what we saw in the scientific calculator. It's got buttons and numbers and additional functions over here. (Computer voice) And the thing I want to call attention to now is this audio button. When I'm in an expression with a graph, you can also use this button to turn on audio trace, so I'm going to go ahead and do that. (Computer voice.) And now the keypad shows [audio distortion] and then I can click hear graph. (Hearing sounds) So hear graph will play an audio representation of the graph I'm on. There's keyboard shortcuts for all the function AELTSality s so I can press each one to do the same thing. The basic way it works is what we call a base point that sweeps across the screen from left to right. As the trace point follows the curve up and down the pitch is shifted to represent the height of the curve. There's a few other cues that we use to help you orient yourself on the graph. So when the curve is below the X abbing assist when it's negative we play a little static to represent that. And when the curve moves from the left half of the graph to the right half, when the X goes from negative to positive, the tone of the curve shifts a little bit. One more cue. When two curves cross each other we play a little popping sound to represent the intersection. I'm going to slow the audio trace down, play the graph one more time, and listen for some of these cues, the static for negative and the tone shift and the pops. (Playing computer sounds) All right. Now I think I'll pause here for questions since I've been asking people to reserve questions because of the screen reader, so I'm going to turn my screen reader off and pause to see if there's any questions. >> Kaycee: One came in. As you had just ended the scientific part. When you down load the Braille equations with that down load button does it down load just the single math problem or does it down load everything that was showing all the problems? >> Jason: It down loads everything you've typed in. So everything that's played in the expression list is in the file. >> Steve: This also includes the evaluated answers, if that's what you're asking. >> Jason: Yeah. Thanks, Steve. >> Kaycee: If you're working on a Braille note touch and enter key math does it give you an option of which type of calculator you can choose? >> Jason: Key math has its own interface for writing math expressions and the main way that key math functions it has a short can you tell that uses the expression -- you'll have to consult them for the short can you tell. One thing that's cool about it, it has a type integration with their -- once you've used a graph you can paste it into a document if you're writing out the answers to a home work problem in a document you can either get math notation in there for a graph by flipping over to And then flipping back to the word processor. >> Kaycee: Jill is asking for some trouble shooting help. It's not letting them to type Braille. We can type normal on the KWERT but then it didn't show the graphs. >> Jason: And this is in Desmos? In the graphic calculator, the scientific calculator? Sorry. What was the context? >> Kaycee: She just said yes. >> Jason: There's some important setup work you have to do if you're using a refreshable Braille display. I was going to talk about this at the end, but let me flip over to it now because it's an important question. Starting from the home page here, resources, accessibility, this is thorough documentation of all of our accessibility features. For each screen reader that we support, we have some instructions about how to set up the screen reader. And in particular, if you're using Braille, we have some instructions for configuring your screen reader to work with Braille in the calculators. There's kind of an annoying technical reason that it's necessary to do some special setup to get a refreshable Braille display to let you easily write either Nemeth or UEB math and the explanation is a little bit technical. I'm just going to go into this because I think it's important. Usually when you're using a rerefreshable Braille display when you're writing prose, just text, most Braille users are going to want to use Braille code that has some contractions. So like the worth the might be only a single cell in this mode. This makes it much faster to write text, but there's a couple things that this makes happen on a refreshable Braille display. One of thing is that the Braille splay doesn't actually send the text to your computer unless you hit enter or something like that because it wants to wait to make sure that it's seen everything you're going to write in a single word so it can expand contractions correctly. If you're in this mode and you're using math you'll see nothing happen and it's waiting for you to be done with a word so it can do contractions to it. The other thing like in Nemeth some of these same contractions mean other mathematical symbols, so it's not really possible to type Nemeth in con tract ive Braille. So you have to switch to a mode that's not doing these contractions. So it depends on the screen reader, it will be called something like 8.computer Braille and you want to switch your inout and output to something that's going to do less translation from the Braille display to the Desmos math input. All these screen readers, you can learn to use these quickly, they have short cut keys, but it's a stumbling block the first time you set it up. I wish it wasn't true but [audio distortion] (loss audio (captioning lost audio) Next are there any other questions? >> Kaycee: Can the sound reader be personalized to each person? >> Jason: No, but I really like that idea. Wire always looking We're always looking for feedback. I'd be pretty interested to hear more from whoever is asking the question about how they'd like to customize it. >> Kaycee: One more came in. How do you switch from playing Y 2 to Y 1? >> Jason: Perfect. I'll go ahead and answer both of those questions about audio trace now. I'm going to flip my screen reader back on, if you can hold questions for right now. Sorry to have to do this but screen readers are what they are. (Computer voice) So I want to show a few other features of audio trace here. We already talked about hear graph. You saw me adjust the volume and speed. Now I want to talk about some of the navigation options. So I can either navigate the trace point point by point. On my keyboard I can do it with the left and right arrow keys or on screen. I'm going to do this a couple times. (Computer voice) These buttons, I'll do it some more, it plays out the sound for surfs. (Computer voice) I am navigate along the curve this way step wise and with coordinates. There's also ways to move just to points of interest. This is the next row of buttons. On my keyboard this would be tab and shift tab audio trace keypad. I'm going to press this once. (Computer voice) This is going to jump me to the previous point of interest. So we heard it's a minimum at PI minus 1. So we can navigate through points of interest here until we get to the intersection. (Computer voice) now we've navigated to the intersection, one of the points of interest. If we navigate to it, we can hear the screen reader read out its coordinates. If you want to hear those coordinates again there's a button to describe the point we're currently at. (Computer voice) We can also ask for a description of the whole curve to give it a little summary of some relevant facts about the curve. (Computer voice) So this is going to just tell us about how many points of interest there are and how many there are of each type and also the color. We can navigate back and forth between different curves using the final set of buttons on screen here or a keyboard short cut. (Computer voice) Now we've moved to the first expression and we can hear what that sounds like. (Computer sounds) I've mentioned keyboard shortcuts a couple times. They're really important for people who are blind or are most commonly going to be using a keyboard rather than an on screen keypad. We have a link to keyboard shortcuts here. If you're not in audio trace mode, you can also get to these through help. (Computer voice) So there's an extensive set of keyboard shortcuts for entering things like mathematical symbols, navigating around the calculator, and particularly for audio trace, this section here explains how to do all the things that I just did on screen using keyboard shortcuts. I want to say one more thing about the motivation for the new on screen audio trace feature. So when we started, everything about audio trace was keyboard driven because we thought this was the way blind people would most commonly use it. I think that's true, but we ended up realizing there's a couple reasons to have a visual interface anyway. One of them is just the visual interface can really help with discover ability. A lot of blind students will learn about these features from a TVI or a sighted teacher. So helping sighted people learn about these features can actually help blind students learn about them. The other reason is mobile devices. So we've heard stories from several students who really love their phones, they use them for managing most aspects of their lives and they don't really want to use some other device to do their math home work, they really want to use the touch screen which is how they do everything else. And so having an on screen interface to audio trace allows using this on a mobile device like an iPad or an IPhone, using the screen reader on that device without having to hook up an external keyboard. That was our motivation for working on a visual interface for audio trace. All right. I'll turn off my screen reader and pause again for questions. >> Kaycee: Okay. Can it solve KWA DRAT particular he indications? >> Jason: Absolutely it can and that's going to be my next example. >> Kaycee: Perfect. And then angel asked you're doing this on the computer. How does set up for Braille work on an iPad? >> Jason: On that same accessibility page there are instructions for setting up voiceover on IOS. If you're -- for doing Braille specifically on an iPad I still think the best way is to have a refreshable Braille display which you can hook up to your iPad using Bluetooth. That's actually -- I've had a lot of success. That's maybe the way that I've personally been most comfortable working with Braille. It works great on IOS if you can get an external refreshable Braille display and run it ov >> Kaycee: Is there audio available for slope fields? >> Jason: No. The calculator doesn't have slope fields built in. I've seen people make slope field graphs out of the constructs that are in the calculator. There's no special audio support for them. But if they're made out of graphs of equations you'd be able to hear something about them. >> Kaycee: Can you create a graph from a table? >> Jason: Yes. We can go ahead and add a table here and I can either punch in some coordinates. So 1, 2, 3, 3. 4, 2. So that's the way to make a table and add coordinates to it. If you want to, you can control the style of these things by long pressing on the icon. So we could switch this to have lines here. If you're using a keyboard, I think the -- yeah, there's a keyboard short cut when you're in a table column to allow you to get in and change the styles if you want to. One other thing for making tables is there's a mode called edit list mode. This will give me options to duplicate a graph, delete it or make it into a table. So we can convert this first expression into a table this way and see some coordinate pairs from that expression. >> Kaycee: Can it generate 3D graphs? >> Jason: No. Again people have built some 3D graphs out of things but the computer can't do, there is no support for making 3 D graphs out of the box right now. >> Kaycee: Then an attendee shared she doesn't have an in quote -- >> Jason: This is probably the language settings. I'm surprised about that. I wonder if it's using the app and it's an older version or possibly if the screen is very small, that might be found over in the settings on the side. I'm not a hundred percent sure. >> Kaycee: That does it for questions right now. >> Jason: The next thing I want to talk about is producing tactile graphics. To motivate this I want to talk about an example where we see a quadratic he indication. I'm going to type the equation for a circle. We'll STIEP X squared equals 25. I typed X squared -- [audio distortion] this is an equation involving two variables. Desmos allows plotting equations like this without having to solve one variable for another. So on the screen we can immediately see the graph of a circle. Now I want to pose a question to you. If we go into audio trace and trace this, what do you think it should sound like? I'll give folks a second to think about that while I move into audio trace. So I'm going to go ahead and play this and you can see if it does what you think. (Computer sounds ) All right. So to play this circle the calculator has split it up into two so-called branches, the negative and positive part of the circle and plays them one after another. It's one way for us to play something for equation s that don't represent functions but instead might represent curves that have more than one Y value for a single X value. I think you can get some useful information from this but it's really hard to make a sound that sounds like a circle. So I think this example points out like audio trace is useful for getting some information. The best thing about it is it's really quick to use. But other kinds of information is a little bit obscured by audio. So for those cases, if you can get access to tactile graphics printer, tactile graphics really are a representation with sort of complementary advantages to audio. So we've tried to make it easy to print graphs to a tactile graphics printer. The way to print a graph is from this share graph button up here on the top of the screen. So I'm going to go share graph and then export image. This feature was originally designed for making visual images of different sizes, but you can also make images that are designed for a tactile graphics printer. We have three printers that are supported right now so the view plus VP max or enabling technologies Romeo and Juliet. So I can select one of these tactile graphics along with the paper I want to use. This is going to make a special image that's designed for the embosser. There's a couple changes here. The grid was simplified. All the axes are labeled in Braille. To print this on my tactile graphics printer there are some instructions here, but basically I can right click the image and save it to my desk top and then once the image is there on my desk topic use the system's print command to print to the tactile graphics embosser. If we chose the ETC embosser instead, the appearance is a little different, the resolution is a little lower, and they also only strike one sort of dot height so we don't have the miner grid lines on this embosser like we do on the VP max, but both of them produce really nice tactile graphics. A you have a tactile graphics printer I think ideally using audio and tactile is really nice if you can do it. I'll pause here for questions about tactile graphics. >> Kaycee: This one's not necessarily about tactile graphics, but are there any resources already created for teachers to use to teach the steps to the students? >> Jason: Yeah. So I will show what we have for resources. That will probably be the last part of my presentation, but I'll cover that in a minute. >> Kaycee: And then whenever you showed the keyboard shortcuts page, is there a way to get that to print? TRINA said she tried to print that but it's only printing the graph and not the list of shortcuts. >> Jason: I think maybe the easiest thing to print is going to be the accessibility page, Desmos.com/accessibility has a section about keyboard shortcuts. So from this page there's keyboard shortcuts for the four-function calculator, scientific calculator, there's also down loadable short cut keyboard guides. So choosing one of these and printing it is probably going to be the easiest way. Or if you like to use Word, down load one of the Word documents and print that. >> Kaycee: Will you be adding other embossers? >> Jason: We'd like to add more embossers. The way this is built right now, each new embosser requires some custom engineering work. So I'd like to make it easier for us to add new embossers. Probably the best thing right now is folks who have embossers not supported, e-mail us at accessibility @ Desmos.com. That will tell us and help us decide which embossers to think about next. >> Kaycee: That brings us to 12:55. I'm going to go ahead and give everybody the code in case you have to get to your next meeting. The code for today is 011421. That's 011421. I want to remind you guys that there's no session on Monday, that's the 18th, for MLK day, but we will be back on the 21st for using the on Ryan we have a special session on Tuesday the 26th from 11:00 to 3:00 and there will be no session on the 25th. You don't want to miss it. Check out our Coffee Hour website TSBVI.EDU/Coffee Hour. To obtain your CEUs today respond to the evaluation e-mail you will receive. Enter the code which again is 011421 and the CEU certificate will automatically generate upon completion of that evaluation. Also the handouts and the recording from this and past Coffee Hour sessions are available through a link on our Coffee Hour page TSBVI.EDU/Coffee Hour. Once you're on the Coffee Hour page scroll down under the list where it says visit the new Coffee Hour outreach archives. That link will take you to all the information. On the evaluation you receive from ESC works today there are two boxes, No. 10 and 11, for additional comments you want to share with the presenter and the event planning com We do have upcoming and exciting symposium on mental health for deaf and deaf-blind use. Those dates are April 22nd and 23rd and the registration is open now. I'm going to drop that into the chat right now in case you're interested in registering for that. Thank you guys so much for coming today and thank you to Jason and Steve. >> Jason: Thank you so much. This will was really fun. >> Kaycee: Somebody asked when the David brown session is. That is the 26th of this month from 11:00 to 3:00 central standard time. You can register for that the same place you registered for this session on our Coffee Hour website. >> Steve: Kaycee can I add one more pitch for resources if folks want to learn more? >> Kaycee: Absolutely. >> Steve: Some more resources are in the handout. If you down load that I want to quickly call them out. From our home page resources we already saw the accessibility page. The learn page has information about all of our products so folks wanting to learn more about how to use these things, there are learn pages for them. There's also a page about professional learning if you want to schedule more professional learning for your school. FOINLy finally, if you have questions about testing in >> Kaycee: Perfect. And perfect timing. It's 1:00 o'clock. So captioners, you can go. Thank you so much.