Math Games Should Focus on Mental Reasoning and Strategy - Not Speed

In many classrooms, math fluency is often equated with speed. Timed drills and classroom games requiring rapid-fire calculations like “Around the World” create unnecessary anxiety and fail to develop true mathematical thinking. Students benefit more from math games that emphasize mental reasoning and strategic thinking rather than rote memorization. Here’s why:

1. Deepens Conceptual Understanding

When students play games that require strategy they must think critically about numbers and operations. This strengthens their understanding of math concepts in a way that memorization alone cannot.

2. Builds Problem-Solving Skills

Strategy-based games help students explore different approaches, weigh potential outcomes, and make informed decisions - essential problem-solving skills that extend beyond the classroom. One key skill we want students to develop is logical reasoning, or the ability to think in terms of “if this… then that.”

Math games with a low-floor, high-ceiling design - where all students can engage at a basic level - provide an engaging way to foster this skill. The low-floor ensures accessibility for all learners, while the high-ceiling challenges them to develop winning strategies and articulate their reasoning. This process of strategic thinking and communication strengthens higher-order thinking, helping students become more effective problem solvers in math and beyond.

3. Boosts Confidence and Reduces Math Anxiety

Timed math drills can be stressful for many students, leading them to believe that being “good at math” means being fast. Games that focus on reasoning allow students to work at their own pace and build confidence without pressure.

4. Prepares Students for Higher-Level Math

As students advance in math, success depends less on speed and more on logical reasoning and strategic decision-making. Games that encourage these skills lay a strong foundation for algebra, geometry, and beyond.

Below is one example of a simple math game that requires mental reasoning and strategic thinking in order to guarantee a win.

Eliminate   (download a copy)                    
Number of Players: 2

1. Player 1: Choose two numbers on a 0-20 number line and cross them out. Circle the sum or difference of the two numbers and write the equation. For example, your turn might look like this:

2. Player 2: Start by crossing out the number that Player 1 circled. Next, choose another number to cross out and then circle a third number which is the sum or difference of the two crossed-out numbers. Write the equation. For example, your turn might look like this:

3. Continue taking turns with each player starting with the last number circled. Once a number has been crossed out, it cannot be used again. The game ends when one player cannot make an equation. The other player is the winner.

Things to consider: What strategy might you use to win this game? Can all the numbers from 0 to 20 be crossed off? Why or why not?

Instead of focusing on speed, let’s encourage our students to think, plan, and strategize - because true mathematical fluency is about understanding, not just quick recall.

If you try out this game with your students let us know how it goes!