Recently, the Maple Learn team hosted an internal Maple Learn day. The team encouraged Maplesoft employees to create Maple Learn content. A lot of art was created.

Below is a link to an example of Maple Learn art, and a picture relating to it. The document is interactive, so open it to see what it does.

Christmas Art, by Marek Krzeminski - Senior Architect at Maplesoft

If you too like to combine math and art, use Maple Learn here to create artwork yourself, and share it with us in the comments.

Recently I decided to compare continuity, related notions, and differentiability. Can a function be differentiable, but not continuous? What about uniformly continuous, but not differentiable? I used Maplesoft's new online product, Maple Learn (free to use at learn.maplesoft.com), to explore.

Here is a Maple Learn document I created. It is an organizational diagram, as shown below. Each rectangle in the diagram corresponds to a different property that a function may satisfy. Within each rectangle, examples are provided of functions satisfying the appropriate properties.

If you click on an example, it will be selected, and the corresponding function will be plotted in Maple Learn's context panel. Try it!

I've also created companion documents to explain certain concepts in greater detail. For instance, below is a snapshot of a document explaining uniform continuity, which you can access here.

By using sliders in the document, you can move and resize the rectangle drawn in the graph. You should notice when doing this that the green function never touches the horizontal sides of the rectangle. This turns out to be the "reason" why the function is uniformly continuous.

You can find a companion document on Lipschitz continuity here.

I’ve learnt a lot about continuity in creating the documents shown. I hope that you too have learnt something from them!

The most frequent question I get asked when presenting Maple Learn is: “How is Maple Learn different from Desmos?”  The second most frequent question is: “How is Maple Learn different from GeoGebra?”. And they are great questions! Why invest time in learning and introducing students to something new if it works and behaves exactly like something you already use? I certainly wouldn’t bother, and I can’t imagine that anyone else would either. So, in this post, I will do my best to articulate the differences as succinctly as possible, and we’ll be happy to arrange a demo for anyone who is interested in learning more.  Are you ready for another top 3 list!?

Disclaimer: Before we dive in, I’d like to start by saying that Desmos and GeoGebra are great tools. This post is not intended to disparage them. Rather my goal is to highlight the things that make Maple Learn unique.

So without further ado:

1. Maple Learn is the equivalent to doing math on paper, just better!

Maple Learn is akin to a digital math notebook. The canvas gives students the same feeling as solving a math problem on paper – the ability to work through a problem line by line, with explanations, notes, and additional calculations wherever they want them on the page – only with extras. Students can also use Maple Learn to perform tedious intermediate steps, see a graph to get a better sense of the problem, vary parameters to explore the effect on graphs and results, do a quick side calculation to double-check an individual step, and verify the final result.

2. Maple Learn takes a more holistic approach to learning

Where other tools focus predominately on visualization and getting the final answer, the Maple Learn environment supports much more of the teaching and learning experience.  Students can articulate their thought processes and mathematical reasoning using a combination of text, math, plots and images that can be placed anywhere on the canvas. Teachers can devise lessons in Maple Learn that focus not just on solving problems, but on developing skills in mathematical thinking, communication, and all the competencies and standards outlined in the curriculum. For example, instead of having your students work through the minutia of solving for x from two equations, you can create a document that focuses on having them set up the problem correctly, and then let them use the content panel to get the solution. Or you can use interactive supports, such as Algebra Tiles, to allow them to explain the concept of Completing the Square. Or give them an equation, and ask them to jot down features of the equation. The questions you can pose and the discussion that arises as a result is what sets Maple Learn apart from the rest. Because ultimately, the study of mathematics and science is about understanding, not the final answer.

3. Maple Learn is about math not commands

Maple Learn is an environment for learning math and math-based subjects, not about learning commands. So how do you perform an operation in Maple Learn? Easy! Maple Learn’s intelligent context-sensitive panel offers students a list of relevant operations to choose from, based on the mathematical equation or expression in question. This feature was first introduced in Maple over two decades ago, and it’s one of the most beloved features of students, teachers, and new Maple users, so of course we included it in Maple Learn. The context panel means that you and your students can focus on learning math not commands.

And here’s a bonus for making it all the way through:

4. You can pull math into Maple Learn really easily using the Maple Calculator

Let’s face it, for now at least, there will always be students who will feel more comfortable doing math on paper. It’s like tomato soup and grilled cheese – some things are meant to go together. So to make the transition from paper to digital easier, students can take a picture of their problem, or even their completed handwritten solution and bring them into Maple Learn instantly. That way, they can have the comfort of paper, AND the advantages of the digital environment. (I’d say something about having their cake and eating it too, but all this talk of food is making me hungry!)

One of the things I love most about my job is working and collaborating with math teachers across the globe. Every discussion leads to additional insights into the challenges facing teachers today, and new ideas on how to make Maple and Maple Learn better. And sometimes, I even learn some math I thought I already knew!

A few months ago, I introduced Maple Learn to a friend of mine who teaches high school math in Kingston, Ontario. I showed her how she could use Maple Learn to teach many concepts during our call, including Completing the Square. I walked her through Maple Learn’s free-form canvas and explained how her students could work through a problem line-by-line just as they would in their notebooks. I highlighted the live plot window and showed how her students could graphically verify that their solution was equivalent to the initial expression. And, I demonstrated the power of Maple Learn’s intelligent context panel and how her students could check their answers algebraically. I thought I had done a good job, until she said: “Karishma, that’s not how we teach Completing the Square anymore!”. Huh! I was floored. What I had shown was the way I had learned the concept so many years ago. I was surprised to learn that there was a new way.

My friend then introduced me to Algebra Tiles and how she used it to teach Completing the Square. Once we went through a few examples, I realized that I had never fully appreciated what I was doing when I completed the square. I had memorized a series of steps without really understanding what I was trying to do. The progression of our discussion naturally led to the inevitable question: “Karishma, does Maple Learn include Algebra tiles? Because that would be a game-changer for my students. Currently, we use physical tiles, but with remote learning, we need something digital.” At that time, my answer was ‘not yet’; however, with the introduction of image support last week, I’m happy to announce that Maple Learn can support algebra tiles and other interactive supports.

Here is the Maple Learn document I created on Completing the Square using Algebra Tiles.

Feel free to change the expressions listed in the document and share it with your students. To see algebra tiles in action inside Maple Learn, take a look at the short video that I created.  If you have any suggestions for improving this application, please feel free to let me know.

Yes, that’s right! You can now add images to your Maple Learn documents! Whether you’re adding a diagram to help visualize a physics concept, inserting the logo or your school or organization, or just adding a cute selfie so that everyone knows how great you looked while making this document, you can add any image you’d like using the image icon on the toolbar. You’ll need to be logged in to access this new feature, but luckily making an account is completely free!

To insert the image, just click the image icon and select the image you want from your computer or tablet. To resize it, highlight the image and click the image icon again. You can also turn the image into a hyperlink by highlight the image and clicking the link button! Now, not only will your document look snazzy, but it can take you anywhere you’d like.

Images aren’t the only exciting new feature in Maple Learn. If you were excited by all the circles in the last set of updates, then you’re going to love this one, because we’ve introduced the Circle command! Just plug in the centre of the circle and the radius, and bam, circle. What’s more, you can easily turn your circle into an arc by adding the angle measures of the two endpoints of the arc. Infinitely customizable round objects, right at your fingertips. To learn more, check out the How-To documents Using the Circle Command and Plotting Arcs.

Ancient Greek mathematicians thought that there was nothing that couldn’t be constructed with only a compass and a straightedge. A wise math professor once tasked my class with using these same tools to draw a pretty picture. With Maple Learn’s Circle function and ability to graph straight lines, you have all the tools you need to complete this same task! We look forward to seeing the results.

This is my second try---my previous post about the Maple Conference  https://www.maplesoft.com/mapleconference/2021/ seems to have vanished into thin electrons.

Anyway!  The conference opens tomorrow!  There are many really interesting prerecorded talks, three live plenaries, two excellent panels, and registration is free!  See the above link.

I look forward to "seeing" you tomorrow.

Rob Corless, co-Chair of the Program Committee

on behalf of the organizers

Do you have a Chromebook?  Are you a student or a teacher looking for the mighty power of Maple, but find yourself limited by your web-only computer? Well, have no fear, because Maple Learn is here!

As a web-based application, Maple Learn is fully supported by Chromebooks. You can create graphs, perform and check calculations, and share documents all within the comfort of your own browser. No need to download any kind of software—just go to learn.maplesoft.com to get started!

Students, if you’re looking for some use for your school-provided Chromebook and wondering how it can help you learn instead of just weighing down your backpack, Maple Learn can help. It’s the perfect, all-inclusive tool to help you learn, visualize, and check your math. And, if you’re looking to brush up on all that math you forgot over the summer, you can check out the Maple Learn Example Gallery, home to hundreds of examples and explanations of a wide variety of math concepts. And it’s all accessible on your Chromebook!

Calling all fans of customizable documents! What am I saying, we’re all fans of customizable documents here. Well, we’re all in luck, then, because with our latest updates to Maple Learn you can tailor even more details of your documents to your exact specifications. Read on to see what’s new!

As we all know, graphs are not merely a method of communicating mathematical concepts, but are of course an art form that can be used to display both mathematical and aesthetic beauty. But sometimes, you may find a little something getting in the way of that beauty… those darn gridlines. Even the most elegant of graphs can be tarnished by this faint, criss-crossing lines. But have no fear! With our latest updates, you can fix this problem with the click of a button. Simply select “Plot Settings” from the graph controls to the right of the plot window, and set Axes to “None”. Finally, your graph is pristine. What’s more, that’s not the only new feature we’ve added to the Plot Settings menu. You can also set the axes to “Boxed”, allowing you to see the gridline labels no matter how from the origin you are on the graph. You can also manually set the boundaries of your axes! No more scrolling and zooming to get the perspective just right.

As if that wasn’t enough, we’ve also added another exciting feature that will help make your graphs look exactly as you want them. By clicking the small graph icon to the left of your expression, you can customize the colour of your plot! You can choose from a wide variety of pre-set colours, or you can use our colour selector to get the exact shade you want. Any custom colours will be temporarily added to the bottom of the colour palette, so you can be sure that your graphs are consistent. At last, you can rest assured that your Maple Learn graphs won’t clash with your outfit.

What’s more, if you’re a fan of graph customizability, then this is the set of updates for you. We’ve added two more features that will help make your graphs both pretty and easy to understand. Tired of trying to draw shapes, only to have each side be a different colour? Well, no more! We’ve adjusted the Segment command to accept as many coordinates as you’d like, allowing you to create polygons (or just funky zigzags) to your heart’s content! As well, we’ve introduced a new command: the Label command. Now you can add text right onto the plot window and label your graph as you see fit. Or maybe you could use the Maple Learn plot window to start drafting a best-selling novel. The possibilities are endless!

We also wanted to take a moment to highlight our Example Gallery. We’ve made some changes to make it easier to find the examples you’re looking for. And with over 400 documents and counting, we’re sure to have what you want! But, on the off-chance we don’t, let us know! We’d love to hear about what you’d like to see. And as always, that goes for both the Example Gallery and for any features you’d like in Maple Learn itself! We appreciate your feedback.

Dear all;

Some of you will have heard of the new open access (and free of page charges) journal Maple Transactions https://mapletransactions.org which is intended to publish expositions on topics of interest to the Maple community. What you might not have noticed is that it is possible to publish your papers as Maple documents or as Maple workbooks.  The actual publication is on Maple Cloud, so that even people who don't have Maple can read the papers.

Two examples: one by Jürgen Gerhard, https://mapletransactions.org/index.php/maple/article/view/14038 on Fibonacci numbers

and one by me, https://mapletransactions.org/index.php/maple/article/view/14039 on Bohemian Matrices (my profile picture here is a Bohemian matrix eigenvalue image).

I invite you to read those papers (and the others in the journal) and to think about contributing.  You can also contribute a video, if you'd rather.

I look forward to seeing your submissions.

Rob Corless, Editor-in-Chief, Maple Transactions

Welcome to Maplesoft Orientation Week!  We know what a difference math software can make when it comes to enhancing student learning, but we also know that everyone is very busy at the beginning of the school year! So our goal for this week is to make it easier for high school and university students to select the best math tool for their needs, and help them get on track for a great math year.  The week’s activities include free training on Maple and Maple Learn, discounts on Student Maple, live events with some of your favorite math TikTok personalities, and even the chance to win an iPad Air!  Check out all the activities now, and plan your week or tell your students.

Orientation week runs Mon. Sept. 20 – Fri. Sept. 24.

We had the exciting opportunity to interview Dr Trefor Bazett, a math professor at the University of Victoria who also regularly posts videos to his YouTube channel explaining a wide variety of math concepts, from cool math facts to full university courses. You may also recognize him from the recent webinar he did on effective interactive learning! If you’re a teacher, and particularly if you’re trying to find ways to keep your students engaged when teaching math online, read on for some great advice and perspective from someone who’s already built a significant online following. If you’re not a teacher, read on anyways! We may not all be teachers, but we’ve all been (or are!) students. And as students, we probably all have some opinions on how things should be taught! Read on for a new perspective, and maybe even some new ways to approach your learning in the future.

What are some unique challenges presented by teaching math online, and how do you overcome them?

Teaching online I work a lot harder to keep students truly engaged. I’m a big believer in active learning, which means that students are actively taking part in their learning through solving problems, asking questions, and making connections themselves. This might seem a bit strange coming from a YouTuber since watching a video is one of the most passive ways to learn! When it is an in-person class, the social pressures of that environment make it easier to create a supportive learning environment that fosters active engagement. When I teach online, I try to scaffold interactive activities and learning opportunities around my videos, but for me at least it is challenging! I find it easier in many ways to think of the passive components of my teaching like creating a video that introduces a topic but designing learning activities around those videos where students are engaged and feel like they are part of a supportive community is crucial. 

Do you think the experience of teaching online has led to any positive trends in education that will live on once students are back in the classroom?

Absolutely. Whether we wanted to or not, teachers now have experience and skills integrating technology into their learning because so many of us had to figure out how to teach online. The big question is how do we leverage these new technological tools and experiences and resources we have created for when we return to the physical classroom? Can we reincorporate in a new way, for instance, the videos we created for the pandemic? We have so many amazing tech tools – and of course I have to shout out Maple Learn as one of those! – that made it possible for students to engage in interactive learning in the online space, but now we can think about all the ways to leverage these tools in face-to-face learning whether as part of a classroom demo, in-class student activities, or outside-of-class activities.

How do you think the influx of math educators on social media, such as yourself, has changed and will change the shape of math education?

I’m so proud of the math education community on YouTube and other platforms, the quality and diversity of math education online is truly incredible. Having universal access to free high quality education materials can really help level the playing field. But there is still a crucial role to the classroom as well, whether it is in person or online. Just watching YouTube videos on a math channel isn’t going to be enough for most people. You need to be actively practicing math in a supportive environment, receiving feedback on your progress, and getting help when you need it. I feel there is a lot of opportunities for teachers to leverage online materials for instance by linking students to excellent expository content while in class teachers are focusing on designing engaging active learning activities.

What made you decide to create a YouTube channel? Do you have any tips for others wanting to do the same?

My first online course was designed asynchronously and so I needed a place to host the videos for that course. Why not YouTube? I only had twenty students in the course, and never imagined anyone else would actually watch them, let along millions of them! But when I noticed my first math video that got picked up by the YouTube search algorithm and I kept getting comment after comment thanking me I realized there really was a big appetite for quality math education content on YouTube.

My biggest tip is just to get started! Your first video isn’t (probably!) going to be the one that gets picked up by the YouTube algorithm, but it is the one that starts you on that path and builds up your skills at telling math stories, speaking to the camera, using the technology, and so forth.  Don’t worry about that first video being completely perfect or mimicking the “style” of other YouTubers, use it as a chance to build from. If you want to know more about my process for making videos, I share a lot of my process here.

What do you think is the best way for students to approach homework problems?

Homework is often perceived, rather understandably, as a burdensome chore you frustratingly have to do. If that is the perception, then it is also understandable that students would take behaviours that might help them get points on the homework but aren’t very effective for learning. However, if you think about homework as both an opportunity to learn and an opportunity to get feedback on how effective your learning is, now you can engage in much more effective behaviours.

My suggestion is to always genuinely try the problem on your own first. If I’m completely stuck, I really like to write down everything I do know about the problem such as the definitions of the math words involved in the problem. This makes it so much easier to see all the pieces and figure out how to assemble them a bit like a jig-saw puzzle.

I’m a big believer in self-regulated learning, where you are identifying precisely what you know and what you don’t know, and then adapting you learning to zero in on the parts that are challenging. Technology tools like Maple Learn that provide step-by-step solutions to many types of math manipulations can help with this self-regulation, for instance by verifying that you correctly did some cumbersome algebra or precisely where the mistake is at.

Even if you have solved the problem, you can still learn more from it! You can imagine how the instructor could modify that question on a test and if so how would you respond? You can map out how this problem connects to other problems. You can write down a concept map of the larger picture and where this problem fits in it. I have a whole video with a bunch more strategies for approaching homework problems beyond just getting the answer here.

As a teacher, what is your opinion on providing students with step-by-step solutions?

Step-by-step solutions definitely have a role. To master math, you need to master a lot of little details, and then the deeper connections between ideas can start to form. Step-by-step solutions can really help support students mastering all those little details because they can identify the precise location of their confusion as opposed to just noting they got the wrong answer and not be able to identify where exactly their confusion lies. I think they can also help lower math anxiety as students can be confident they will have the tools to understand the problem.

However, it is important to use step-by-step solutions appropriately so that students use them as a supportive learning tool and not a crutch. Sometimes students try to learn math by mimicking the steps of some process without deeply understanding why or when to apply the steps. There can be a big gap between following a solution by someone else and being able to come up with it yourself. This is where teachers have an important role to play. We need to both be clear in our messaging to students about how to use these supports effectively, as well as to consistently be asking formative questions that encourage students to reflect on the mathematics they are doing and provide opportunities for students to creatively solve problems. 

You spoke a bit in your webinar about the “flipped classroom” model. Do you have any tips for educators who want to move more towards a flipped classroom where in-class time is focused on discussion and exploration?

I really love flipped classroom approaches. The big idea here is that students established foundational content knowledge before class, for instance by watching my pre-class videos, so they are empowered to do more collaborative active learning in class. The social supports of class are thus focused on the higher-level learning objectives. However, as much as I love this approach, it is just one of really an entire spectrum of options that start to shift towards student-centered learning. My main tip is to start small, perhaps just adding in one five-minute collaborative problem to each class before jumping all the way to a flipped classroom pedagogy. For myself, it took a few years where I kept adding more and more active learning elements to my classroom and each time I did that I felt it worked so well I added a bit more. One positive consequence from the pandemic-induced shift to online learning is there is now a tremendous amount of high-quality content available for free, so it is easier today to start embracing a fully flipped classroom than it has ever been.

What are some ways teachers can let students take their learning into their own hands?

This is so important. Sometimes teaching can be too paternalistic, but I think we should trust our students more. Give students the time and space to try tackling interesting problems and it will happen! Our role as teachers is to create a supportive learning environment that is conducive to students learning. A few ingredients I think that can help are firstly to encourage students to collaborate and support each other. Mathematics is an inherently collaborative discipline in practice, but this can also be very helpful for learning. Secondly, we can provide effective scaffolding in problems that provide avenues for students to get started and making progress. Thirdly, tech tools like Maple Learn let us take some of the friction away from things like graphing, cumbersome algebra, and other procedural computations meaning we can instead focus our learning on developing conceptual understanding.

In your opinion, how can we motivate students to learn math?

Authenticity. Motivation is sometimes divided between intrinsic motivations (enjoyment of the subject itself) and extrinsic motivations (for instance wanting to get a good grade), and in general we learn more effectively and more deeply when we are intrinsically motivated. To capture intrinsic motivation, I always try to make my teaching and the problems I ask students to work on to feel authentic. That might mean the problem connects to real world challenges where students can see how the math relates to the world, but it doesn’t have to! A problem that stays in pure math but asks and answers interesting mathematical problems and delights the learner is also great for intrinsic motivation. If students are empowered to tackle authentic problems in a supportive learning environment, that motivation will naturally come.

What’s your favourite number, mathematical expression, or math factoid?

Somewhere on the surface of the earth, there is a spot that has the exact same temperature and pressure as the spot exactly opposite it on the other side of the earth. This is true no matter what possible weather patterns you have going on all around the earth! That this has to always be true is due to the Borsuk-Ulam theorem and if you want to know more about this theorem and its many consequences, I’ve done a whole video on it here.

Any parting thoughts?

At the start of every new school year, I read about dozens of cool ideas and am tempted to think “I want to try that!”. I suggest instead finding one thing to improve on the year before, one thing that you can really invest in that will make a difference for your students. You don’t need to reinvent the wheel every year!

Another series of updates to Maple Learn? It’s almost like we’re constantly working on Maple Learn to add more features and improve based on your feedback! Wild, right? Anyways, here’s some of the latest features we’ve added to Maple Learn.

First, we’re very excited to present our new Example Gallery. Not only does it have a shiny new design, but there are now over 400 example documents in just about every area of mathematics you can think of.  These documents are perfect for seeing how Maple Learn can be used to teach and explore concepts, and you can easily modify them to suit your own needs. We’re still working hard on improving the Example Gallery and its content, so let us know what you want to see!

We’ve also got some shiny new features in Maple Learn itself. Do you ever look at a graph and think, “Wow, this is great and all, but I sure would love if it had fewer straight lines and more circles?” I know I do. Luckily for both of us, Maple Learn now supports polar coordinates! Just click the round globe icon to see your plots transformed to the circular form you’ve always wanted them to be.

Looking to enhance the text portion of your documents, rather than the graphs? We’ve got just the thing for you—Maple Learn now supports bullet lists! Take your pick of numerical lists, alphabetical, or your traditional bullet point. If you’re looking to augment your document with a step-by-step process, a list of your favourite mathematical expressions, or you’re just feeling tired of using pen and paper for grocery lists, Maple Learn now has what you need.

Speaking of improving the layout of your documents, we now have an option for horizontal tables. The vertical tables can get a bit a long, especially for a short document, but with horizontal tables you can keep all your documents cozy and compact.

And as always, this is just a taste of what we’ve been up to. We’ve also improved a variety of features (including our new steps feature!) and fixed an assortment of bugs. And remember, we couldn’t do this without you! Please continue to let us know what you’d like to see in Maple Learn, and someday it could be your request featured in our post!

Calling all teachers! Have you ever sat wracking your brain on how to create an engaging lesson for students who aren’t so keen on math? Are you trying to help your students understand concepts on a deeper level? Well, Dr Trefor Bazett’s webinar “How to Design Effective Interactive Learning Activities” might have the answers you seek. Dr Trefor is professor at the University of Victoria who has risen to fame on the internet with his engaging YouTube math tutorials. He recently gave a great talk sharing some of the things he’s learned about teaching and how he structures his course content to maximize student learning and engagement. We wanted to take the time to highlight a few of the points he made.

One of the things Dr Trefor emphasized in his talk was the concept of active learning. Unusual as it may seem, math is a lot like juggling. You can learn all the theory of juggling and how it’s supposed to work, but when it comes down to it, if you want to learn how to juggle, you have to actually juggle! And as he describes, it’s the same for math. If you want to learn math, you have to actually do math. This means that educators need to find a way to make learning active for their students, and find ways for them to actually explore and use the concepts that are taught in class. There are many ways to approach this, and Dr Trefor has a few ideas in his talk that might help get you started! For example, he discusses a backwards model wherein teachers create their lectures based on the assessments and activities, rather than the other way around. That way, you can be sure that what you’re teaching is what the students need to know in order to complete the activities you’re giving them—and that in turn can make the activities more engaging for the students.

Another idea he talked about that I personally found quite appealing was the idea of incorporating storytelling into your teaching. Stories are always more interesting than just plain lectures. And you don’t even have to weave together a grand epic with elements of math being taught along the way (although that would be pretty cool!). It can be as simple as changing the way you explain a concept. “X is true, but, Y is also true! Therefore…” Doesn’t that seem a little more interesting? By tying together concepts with pseudo-narrative threads using ‘but’s and ‘therefore’s, you can create a lecture that students will want to listen to—after all, they’ll want to know what happens next.

Drawing from some of the science behind learning, Dr Trefor also discussed the idea of cognitive load. This is essentially the amount of stress the student is experiencing when they’re trying to learn. Concepts will always have a certain amount of intrinsic load to them—that is, when you’re trying to learn how to factor a quadratic equation, there’s going to be some amount of stress associated with factoring itself. The part educators can focus on reducing is the extrinsic load, which is the stress caused by outside factors. For example, your factoring lesson may be hindered by having to teach online instead of in-person, or by the fact that you keep thinking 2x3 is 5 (or maybe that’s just me!). Dr Trefor describes how online tools like Maple Learn can help to reduce this extrinsic load. With a way to show and explain a wide variety of concepts without pencil and paper, and to help perform those calculations that are muddying up the underlying concept, you can reduce the cognitive load and help your students learn.

This is just a taste of some of the ideas Dr Trefor talked about in his webinar. If we’ve piqued your interest, you can watch the full thing for yourself here, or by clicking the video below! Be sure to check out Dr Trefor’s channel as well if you want to see his dynamic teaching style in action.

Maple Learn is a great tool for checking the answer to your math problems, but what happens when your answer is wrong and you don’t know why? Knowing there’s a mistake doesn’t actually tell you what that mistake is. Luckily for you, Maple Learn’s newest feature is here to help you out: steps! Now, with the click of a button, you can see full, step-by-step solutions to a wide variety of problems. Instead of endlessly pouring over your work to find that one misplaced negative sign, you can check the steps to quickly and easily spot where you went wrong. Plus, if you’re having trouble figuring out how to approach a problem, you can sneak a peek at the first few steps to get the ball rolling. Full solutions are an invaluable learning tool, and we’re excited to be able to share them with our users.

Getting the steps is simple. When you perform an operation using the Context Panel, you’ll see a “Steps” button appear next to the solution when steps are available. Just click this button! This will take you to a new Maple Learn document showing you a full, detailed solution. Plus, if you want to bring the steps into another document, you can then click the “Copy to Clipboard” button. Checking your solution has never been easier!

What sorts of problems do we have steps for, you might ask? Good question! The answer is a resounding “most of them”. Are you a high schooler? We’ve got steps for factoring, expansion, and solving both equations and linear systems. Doing calculus? Derivatives, integrals, limits, and even solving differential equations all have full solutions available. How about linear algebra? Absolutely! We provide steps for Gauss-Jordan elimination, matrix inversion, finding eigenvalues and eigenvectors, and calculating the determinant! And that’s just a taste of what Maple Learn can do. We’re working constantly to expand our roster of steps, so let us know what you want to see!

I hear what some of you must be thinking: “But what about when I don’t have my computer with me? I never know when I’m going to need a step-by-step solution to a math problem!” If that’s you, then check out the Maple Calculator! The Maple Calculator provides full solutions just like Maple Learn, and you can carry it around in your pocket for math-on-the-go. With Maple Learn and the Maple Calculator on your side, no math problem can stop you now.

Our grand quest to expand and improve Maple Learn is marching steadily along, and we wanted to share with you some of what we’ve been working on! We’ve added some exciting new features that we hope you’ll enjoy.

First up, we’ve added a new command: the Shaded command. This allows you to shade the area beneath a curve—perfect for helping students understand and visualize integrals. It also looks pretty cool, if I do say so myself.

We’ve also added a few new symbols to our roster. You can now enter the not-equals sign through the Numbers and Operators menu, and we’ve added the upper-case Greek alphabet to the Greek symbols menu. Now you can write your documents entirely in Greek! (Or you can just use them as symbols.)

If you’d rather keep the Latin alphabet, but do want to shake things up a bit, we’ve got just the thing for you: you can now choose either a Serif or Sans Serif font. With that and our other text editing tools, you’ll be able to customize the design of your document to your heart’s content.

If you’re one of our users who requested support for mixed fractions, today is your lucky day! Maple Learn now fully supports mixed fractions, and you can convert between mixed and improper fractions using the Context Panel.

We also wanted to take the time to mention some of the bugs we’ve fixed based on user feedback. Thanks to you, we have now:

• Fixed tooltips for floor and ceiling functions
• Resolved the issue of Maple Learn slowing when using asin(x) in equations
• Fixed typesetting bug when entering inequalities with fractions
• Added more support for dealing with units in tables and equations

Thank you to everyone who has sent in their feedback. Your reports are what allowed us to fix these issues. If you ever have feedback for us, whether it’s a bug you’ve found or a feature you’d like to see, use the “Flag a Problem” button to let us know. Maybe it’ll be your suggestion you see here next!