Math 371 Technology for STEM Educators

     Productive struggle is often framed as something that happens away from technology, as if meaningful thinking only occurs when students are working with pencil and paper. In reality, struggle does not disappear in a technology-rich classroom. Instead, it changes shape. When digital tools are used thoughtfully, they can create conditions where students wrestle with ideas rather than bypass them.      Technology like Desmos, GeoGebra, and several others, have the potential to slow students down in productive ways. Instead of immediately confirming whether an answer is correct, dynamic visuals and interactive elements invite students to notice patterns, test assumptions, and reconsider their reasoning. They can help students work towards the correct answer on their own, rather than being only correct or incorrect. Students may adjust a slider, observe an unexpected change, and then pause to ask why the graph, shape, or simulation behaves the way it does. ...

I had thought about this since December, but didn't really work on it until the last minute. Yes, I am an extreme procrastinator. It helps me relate to my students! On January 7, as I was preparing the syllabus for the course management system, I decided to pull the trigger and gamify my course. It makes sense as the course is made up of projects that students need to complete, so having them earn a badge after each project is a good idea. I planned to give them digital badges, but the students were very excited about the idea of actual badges. Today I have been creating the badges in Canva, which really is a great program and easy to use. I got some advice from a friend who makes stickers and I just ordered them! They are supposed to arrive by Friday, and I am excited. While they have more than 6 projects, I decided to combine the first few assignments into one badge, called the Digital Citizen badge. Hopefully, you notice that the circle around the outside is two colors. This dar...

It's the day of your exam. You're palms get sweaty and your heart is racing as you flip through your notes, hoping that reading over them one more time will make them stick to your memory. You know you've got time to slow down and truly comprehend the material, but you're too anxious to bring yourself to do just that. You're back in high school and have an algebra exam coming up next class period. You are so focused and worried about it that there is little to no hope for learning to occur in your current class. Finally, you get to the exam just to find your mind blank as you helplessly stare at the squiggly lines and operations symbols in front of you. But you studied for days; there's no way you could be this unprepared for the test. All that studying and worry, all just to leave that classroom feeling helpless and like a failure.  This is the sad reality for many students when it comes to math. The idea of having to understand and solve math problems leaves...

       The way math is taught has changed plenty throughout the years, with new discoveries, new technologies, and new educational requirements. Even with those differences, there is one experience that all math teachers have, and that is answering the age old question, “Why do we have to learn this anyways?” Telling kids that they “simply must” never works, so what are we to say? Most of my teachers told us we will need it for college, for work, and just for everyday life. But the most memorable answer I received was, “You may not ever need this. If a stranger runs up to you and asks you to solve an algebraic expression, you should run. But at least you are learning valuable problem solving skills.” All these answers, however, seemed vague to me. As the impressionable teenager I was, their vague answers did not exactly pique my interest in my studies of mathematics. In fact, it made me think they mattered even less. The issue here is that what all those teachers sai...

In school, I’ve always heard students say, "When I am older, I am going to have a job that does not require math, so why do I need to be in this math class." If I am being honest, before deciding I would be a math teacher, I thought the same thing. Since deciding that I want to be a math teacher, I have been thinking about what I would say if students asked "when am I ever going to use this?". Why should my students care about a subject they "will not use” in the future? After a lot of thought, you still need basic math skills and critical thinking that this class teaches you, to be successful in the real world.  I would first tell my students that the more practice with basic math, the easier day-to-day life math is. The math done daily is primarily subconscious, like when shopping, counting money, time management, etc. For counting money, let's say we want 76 cents. To figure out how to get there subconsciously, we are using the formula 1x+5y+10z+25c=76. ...

With today’s technology, students have access to a variety of math-solving tools that can assist them in understanding and mastering mathematical concepts. Some teachers may worry that these tools encourage shortcuts, but when used correctly, they can be powerful learning aids. Many math tools, like GeoGebra and Desmos, provide interactive visual representations of equations, graphs, and geometric shapes. Instead of solving equations on paper, students can see how changes in variables affect graphs in real time. This helps them better understand mathematical relationships and patterns. Apps like Photomath break down problems into detailed steps. Instead of just providing an answer, they guide students through the entire process. This can help students understand the reasoning behind each step. Although Photomath and apps like it aren’t skilled in word problems, other tools such as ChatGPT and Google Gemini can take a word problem and guide students through the solution. One ch...