What math skills do common board games actually teach?

Counting and basic arithmetic
Games with points, tokens, or resources require counting and simple addition/subtraction. Players add scores, count remaining pieces, or calculate totals. This practice happens naturally during play without drilling.
Probability and risk
Games involving dice or random draws introduce probability informally. Players learn that some outcomes are more likely than others and adjust decisions accordingly. No statistics knowledge needed—just gut feel for odds.
Spatial reasoning
Games with board layouts, tile placement, or connection patterns develop spatial thinking. Players visualize how pieces fit together, how distance matters, and how to plan multi-step paths.
Resource management
Games where players allocate limited resources (money, cards, time) teach optimization. Players make decisions about where to spend resources for maximum benefit—applied economics.
Strategy and planning
Advanced games require working backward from a goal to plan sequences of actions. This is mathematical thinking even without equations.
What games don't teach
Board games are inefficient for memorizing times tables, long division, or complex formulas. Use games for conceptual understanding and practice motivation; use other methods for procedural fluency.