What Is Counting On?
Picture a student solving 6 + 3. The long way is counting every single object from 1: “1, 2, 3, 4, 5, 6… 7, 8, 9.” Counting on skips that first count entirely — the student starts at 6 and just counts forward three more: “6… 7, 8, 9.” It sounds like a small shortcut, but it’s actually a major developmental leap: the student has to trust that “6” already represents a full quantity without recounting it.
Grade Level
Counting on typically emerges in kindergarten and becomes a core, expected strategy by 1st grade. It’s the bridge between “counting all” (the very first way children add) and true fact fluency later on — students who get stuck counting all past 1st grade are often the same students who struggle with math down the road.
How to Teach It Effectively
- Cover and count — show 6 counters, cover them with a cup, then add 3 more visible ones. Ask, “We know 6 are hiding under there — do we need to count them again?” This builds the trust that a covered/known quantity doesn’t need recounting.
- Number line hops — starting at the first number, hop forward one space per unit being added, saying the new number at each hop.
- Finger start — hold up the starting number on fingers (or just say it), then count on using new fingers for the amount being added.
- Start with the bigger number — once counting on is comfortable, teach students to start with whichever addend is larger (so 3 + 6 becomes “start at 6, count on 3”), which is the most efficient version of the strategy.
A Few Tips
Watch for the habit of recounting from 1 even after you’ve modeled counting on — it’s common and not a sign of failure, just an old habit that needs gentle redirecting (“Do we know how many are under the cup already?”). Keep the “add on” amount small at first (adding 1, 2, or 3) before working up to bigger jumps. And say the strategy out loud as you model it — narrating your own thinking (“I know 6 is already 6, so I don’t need to start over”) matters as much as the physical counting.
For IEPs/Special Ed Context
A large randomized study of students with math difficulties found that explicitly teaching counting-on strategies — and giving students repeated, deliberate practice with those strategies — produced meaningfully better fact fluency than instruction without that structured practice. In other words, for struggling learners, counting on usually needs to be directly taught and practiced daily in short bursts, not just modeled once and left to develop on its own. Keep the same physical routine (same counters, same hand motion) across sessions so the strategy itself becomes familiar and automatic.
The Bottom Line
Counting on is the strategy that quietly separates efficient math thinkers from students stuck starting over every time. A few minutes of “cover and count” or number line hops a day helps it click — and it clicks faster with direct teaching than by waiting for it to appear on its own.
Source: Fuchs, L. S., Powell, S. R., Seethaler, P. M., Cirino, P. T., Fletcher, J. M., Fuchs, D., & Hamlett, C. L. (2010). The effects of strategic counting instruction, with and without deliberate practice, on number combination skill among students with mathematics difficulties. Learning and Individual Differences, 20(2), 89–100.
