This game is designed to help students in Kindergarten through 2nd grade move past one of the most common early math habits: counting from one. When young children first learn addition, they often begin by counting every object from 1. This strategy is known as counting all, and it is a normal first stage in early arithmetic development. Research shows that as children gain experience, they typically move through a sequence of counting strategies: first counting all starting with the first addend, then counting all starting with the larger addend, and finally using the more efficient approach of counting on from the larger addend. This progression is documented in research on early arithmetic strategies (The Development of Counting Strategies for Single-Digit Addition, University of Illinois), which you can view here: https://experts.illinois.edu/en/publications/the-development-of-counting-strategies-for-single-digit-addition.
In addition, studies show that refining these counting strategies is directly linked to stronger addition performance in young learners. For example, research in Child Development demonstrates that children who practice counting strategies, including counting on, perform better on early addition tasks, highlighting the importance of moving beyond counting all toward more advanced strategies (see Finger counting training enhances addition performance in kindergarteners, https://academic.oup.com/chidev/article/96/1/251/8255505?login=false).
This game supports that transition. Instead of having students reconstruct every problem from one, they practice holding a number in mind and counting forward from it, helping them adopt more advanced strategies like counting on from the larger addend. In the Count On (addition) mode, the larger number is intentionally hidden first so students are encouraged to begin with that quantity and then count on the smaller addend.
In the Counting Back (subtraction) mode, students see a total hidden and then watch a small number slide away. This mirrors the mental action of starting with the whole and counting backward, supporting children’s reasoning about subtraction and number relationships. Subtraction problems are intentionally limited to four or fewer removals, making backward counting easier to track mentally and helping build confidence with sequential number relationships.
The visual design of the game is also intentional: counters appear one at a time so students practice one-to-one correspondence, a foundational early numeracy skill. Covering the larger addend first encourages students to begin counting from that number rather than recounting everything from one, and the reveal at the end allows teachers to verify the answer by having students count all the counters together.
The goal of the game is simple but powerful: it helps students move from counting objects to thinking about numbers and their relationships, which is foundational for strong number sense and later success in arithmetic.
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