7 Tips for Surviving Digital Math Homework

Reading Time: 6 minutes

a student staring at an online math assignment

At the risk of sounding like an old man, I’d like to note that back in my day, math homework was all on paper: either worksheets or textbook questions. But in recent years, there’s been a major shift toward online math homework, and this shift has not been good for students. Pearson/Savvas, IXL, WebAssign, ALEKS, McGraw Hill – whatever your school uses, you probably hate it.

Programs like these were rare before COVID, and they were understandably made mainstream during remote learning. But as the pandemic ended and we went back to the classroom, these programs stuck around. The reasons for this are also understandable: digital math homework is easy for teachers to track, it saves the teacher from printing hundreds of worksheets each week, and textbooks are going the way of the dodo.

But I’ve yet to meet a student who prefers online math homework to traditional math homework. And if you’ve ever experienced it yourself, you know why. The programs are difficult to use. The visuals of graphs are usually tiny and hard to read. Typing your answer into the box sometimes takes more effort than the problem itself. The instructions change frequently for no good reason. And the programs love to ask what I call “oddball questions” – questions that are far weirder and more abstract than anything you’d see on a test.

Thus, many students are discouraged by their digital math homework. Getting through it is exhausting, so the goal of learning takes a backseat to the goal of just being done (even more so than with traditional homework). For some, online math homework is so difficult and tedious that they avoid it altogether, causing their grades and learning to suffer. So here is my guide to surviving digital math homework. These eight strategies won’t make you love it, but they will make your life easier.

1. Use Paper

Screen-based math subtly discourages students from using the #1 strategy for solving any math problem: work it out on paper. You should always have scratch paper at the ready or, better yet, a dedicated notebook where you do all of your online math homework. Pretend you’re getting points for showing your work.

a student writing on paper while doing online math homework

If you note the problem number next to the work you’re doing, then you’ll have something to refer back to if you get stuck. This makes asking your teacher or tutor for help much easier.

When students do use paper, the most common mistake I see is doing some bit of mental math between the screen and the first thing they write down. They see an algebra equation on the screen, and instead of just writing down the original equation, they take a step in their head and write down the result. Many mistakes are made this way because pulling from screen to paper while simultaneously performing an algebra step can overload working memory.

2. Use Your Resources

If you have notes from class, keep them handy. If you have a textbook, have that open to the relevant section. If all you have is a digital textbook, open that in a new tab. If the school did not provide a textbook, you can still buy a good used one.

a student taking notes from a textbook

Remember that Khan Academy and YouTubers like The Organic Chemistry Tutor are always there to teach you how to do the math with well-made videos. If you’re using these resources to learn, you should be taking notes.

3. Show Me an Example

Most online math homework platforms have a button that says something like “Show Me an Example.” If you’re stuck, click that button. Patiently read through the example and take notes. Then return to the problem and see if you can figure it out. Don’t give up on a question until you have taken this step.

4. Read the Darn Instructions

Sometimes, the student is confident they’re correct, and I’m confident they’re correct, and the program still says they got it wrong. Nine times out of ten, it’s because we didn’t follow the formatting instructions for the answer.

Pearson (one of the most popular online math programs) loves to change the answer-format requirements from question to question. It’ll say “round to the nearest tenth” for several questions, but then it will unexpectedly switch to “round to the nearest hundredth.” Or it’ll insist on simplified fractions for some questions, but then demand decimals for others. It’s one of Pearson’s worst features. So, before you give up in frustration, double-check the instructions.

a confused student at his laptop

5. Feel Free to Skip Oddball Questions

Digital math assignments, far more than textbooks and worksheets, frequently include weird questions. These come in many flavors, such as:

  • Concept explanation questions with very wordy (and poorly phrased) answer choices
  • Questions where you analyze a student’s erroneous work and describe the mistake they made (often forcing you to guess at the way this imaginary student was thinking about the math)
  • Abstract algebra problems that use only letters and no numbers (these are actually good to know how to do, but bad to attempt first)

Oddball questions like these are often the first few problems a student will see in a digital homework assignment, when they should actually be last. Starting the assignment with the weirdest, toughest questions leaves many students discouraged.

a frustrated student doing homework at her laptop

But there’s good news! Most online math programs let you skip questions. You can come back later and try them after you’ve done all of the normal questions. Or you can skip them altogether. Your test probably won’t have questions like that, and skipping the oddballs won’t hurt your homework grade very much.

6. Don’t Skip Any Subtopics

Some teachers will give you full credit for the assignment if you complete 70% of it, and many students happily take them up on that offer. This approach could even make sense if you jumped around, completing 70% of each of the problem types (they typically come in batches), or if you only skipped the aforementioned oddball questions.

Instead, what usually happens is that students will complete the first 70% of the questions, in order, leaving the last 30% incomplete, never even looking at them. In doing so, they typically skip two whole types of questions: subtopics they’re expected to know for their test. If your goal is to learn the material, don’t do that.

7. Supplement as Needed

The assigned homework, whether digital or traditional, is usually not enough to master the content. So it’s always a good idea to supplement the homework with additional practice.

If you want to try a specific problem type again, online math programs usually have a button that says something like, “Practice a Similar Question.” If a problem was particularly vexing but didn’t seem like an oddball question, you should do this immediately, before completing the rest of the assignment. Things that are hard to understand are hard to remember, so you should reinforce them right away.

kuta software's free Algebra 1 worksheets

More likely, you’ll want to do more practice offline, so you’ll seek out practice problems in your textbook or find a worksheet to do. Kuta Software has tons of free worksheets for high school math, or you can always just Google the name of the topic and the word “worksheet.”

Either way, succeeding in math typically requires doing more than they ask you to do.

How to Succeed at Skipping a Year in Math

Reading Time: 3 minutes

a child jumping over a gap

Long-time readers will know that I generally advise against skipping a year in math. For many reasons, it’s usually a bad idea. Nonetheless, many students continue to make this choice, so let’s talk about how to do it right.

Most people just figure that the school said they were smart enough to jump ahead, so that’s good enough. This approach often leads to serious problems down the road: a snowballing accumulation of knowledge gaps and a growing feeling that you’re not really a “math person,” which ultimately leads to giving up on STEM.

Skipping Ahead in Middle School

The most common version of skipping a year is jumping from 7th-grade math to Algebra 1, effectively skipping over 8th-grade math. If that’s your path, then you should spend this summer learning the course you’re skipping.

Make a Khan Academy account (it’s free) and work your way through their 8th-grade math course. Do every single exercise in every single unit. Watch the videos on topics you don’t know yet and take notes.

Khan Academy's 8th grade math dashboard

If something is hard for you, print worksheets from Kuta Software (also free) and work the problems until you’ve really mastered the topic. Take Khan Academy’s quizzes and the tests. Retake them after more practice if you do poorly. Even if you think you already know the material, prove it by doing the work.

If the math comes easily, great, but learning the math is only part of the reason you should do this. The other part is practicing doing more work than you’re required to do. Succeeding in advanced math doesn’t just require intelligence and math knowledge; it also requires diligence and grit. Skipping ahead usually means more homework and more difficult homework, but it also means you’ll frequently need to study and practice beyond the homework. Doing regular math practice over the summer is a powerful way to build this habit.

All of this is doubly important for those students who skip two years – jumping from 6th-grade math to Algebra 1 in 7th grade.

Skipping Ahead in High School

The other way people skip a year in math is by taking a course over the summer. Most commonly, students take an online Geometry class in order to jump from Algebra 1 to Algebra 2. This is, actually, not a terrible idea. It avoids the “Geometry sandwich” that is often problematic for students, and of all the regular high school math courses, Geometry is the least connected to the others.

(A less common – and far worse idea – is to take Algebra 2 over the summer to skip from Geometry to PreCalc. Algebra 2 is the foundation of higher math, and shortcutting through this course is likely to be disastrous. Math is an upside-down pyramid, and all of the layers are important, but Algebra 2 is uniquely important. It effectively serves as a gateway to higher math.)

a gateway at the bottom of a staircase

If you’re taking an online class over the summer (or retaking a class in summer school), you should keep in mind that you’re cramming a year’s worth of content into a couple of months. This makes it much harder to engage in mastery learning, so you’ll have to do more work on your own. I know that’s a tough sell, since it’s summer vacation, and you’re already doing the work at a faster pace than you would during the school year. But if you want to retain the knowledge, you’re going to have to earn it.

What if it’s too late?

What if you already skipped a year, and you’re starting to feel like you’re drowning? Then it’s time to patch the holes in your math knowledge, so you’re actually ready for what comes next. This investment will pay off enormously during the school year.

Imagine if all those lingering areas of math where you’re unconfident – fractions, long division, factoring – were as easy for you as addition. That can be your reality; you just have to earn it. Oh, and those things that were hard to learn when you were young? They won’t be as hard now. You’re smarter than you used to be.

It Was Never About the Math

Reading Time: 4 minutes

complicated math problems on a blackboard

Most people don’t use math in their careers. Most people rarely use anything other than basic math in their daily lives. So, for most people, learning math is a waste of time, right?

Nope.

Nearly all of the benefits of studying math have nothing to do with math. Math is brain training, pure and simple.

Brain Muscles

The various types of math problems students do are like the various kinds of exercise you do at the gym. Rock climbers, football players, and skiers all lift weights at the gym, not because they do any of the same lifting motions during their sports, but because their athletic performance benefits from having stronger muscles in general.

a cartoon brain lifting weights

As I often say, your brain is like a bunch of muscles that get stronger when you use them. There isn’t a “math muscle” in your brain. Rather, math exercises several important mental muscles that everyone needs.

Logic

Math is sometimes described as “the language of logic” because all math must make sense. Everything in math, from 2+2=4 to the way you calculate a derivative, is something that can be explained and understood logically. None of it is arbitrary.

A common mistake students make is to simply memorize formulas without ever trying to understand them. This might result in a good test score, but it doesn’t give you the benefit of exercising your brain’s logic muscle. Plus, if you focus on understanding the formulas, they’re easier to remember.

Problem-Solving

Another critical skill that math strengthens is problem-solving. Math trains you to wrestle with complicated, multi-step problems where the correct path forward is not obvious. Life is full of problems like that.

an electrician problem-solving

When you solve a word problem in math, you’re forced to do the following:

  • Account for what you know
  • Determine what you don’t know that would be helpful to know
  • Discard useless or distracting information
  • Set aside information that you’ll need later but don’t need right now
  • Assess what resources you have available (formulas, methods, etc.)
  • Sort out how to get where you want to go
  • Adapt that plan of action as you work the problem, if you discover it needs to change

That’s what word problems in math are all about, and it’s also what problem-solving in general is all about. You could be remodeling a kitchen, planning a vacation, or designing a website, and the essential skills of problem-solving would be the same.

Flexibility

a very flexible man with his body contorted

Lastly, math is an excellent way to develop greater mental flexibility.

Many areas of mathematics, such as quadratics or integrals, have numerous methods that you could use for any given problem. As you learn them, you accumulate a toolkit. Your job as a math student is to flexibly switch from one tool to another as needed.

Many students express frustration that there isn’t one way to solve all such problems – one tool that you always use. It would be easier if you always knew which method to use, but that wouldn’t help you learn how to solve problems in the real world.

In just about any career, you’ll be faced with novel challenges every day: new problems to solve with the toolkit you’ve acquired through college, on-the-job training, and experience. If the problems were easy and simple to solve, you wouldn’t be getting paid good money to solve them. The work would be outsourced to a cheaper labor source, an algorithm, or an AI.

Whether you’re an electrician, a doctor, an engineer, a project manager, or a carpenter, your job is to solve hard problems by drawing upon your knowledge and grabbing the right tools at the right times. Many branches of mathematics train your brain to do exactly that.

a bunch of tools on the wall of a workshop

It’s Never Been About the Math

Whenever math students are asked to learn something esoteric, someone will complain, “But when are we ever going to use this?”

The correct answer to this question is, “Probably never. But also, always.”

You’ll most likely never use this specific piece of mathematics for anything practical, but you will certainly use the mental muscles and general skills you’re developing by learning it.

Remember, the point of school is not the specific things you learn, but who you become through the learning.