# Children’s Mathematical Strategy Choices are not Influenced by Number Magnitude

- Susan Cook, University of Iowa, Iowa City, Iowa, United States
- Andy Mistak, University of Iowa, Iowa City, Iowa, United States

**Abstract**When solving mathematical equivalence problems (e.g. 5 + 3 + 6 = _ + 6), children use a variety of problem-solving strategies (Perry, Church, & Goldin-Meadow, 1988). We investigated factors potentially influencing how children choose strategies and solve problems, including the size of the numbers, the problem structure, and the structure of children’s strategy repertoires. We predicted that children’s strategy choices would be influenced by both the size of the numbers and the problem structure. We found that, contrary to our expectations, children’s strategy choices and their accuracy were not influenced by the size of the numbers in the problem. We also predicted that there would children’s strategy repertoires would reveal conceptual structure. Children were highly consistent in their strategy choices across problems, and individual strategies showed evidence of varying affinity with one another. Children’s repertoires appear to reflect children’s emerging understanding of equivalence, providing a potential target for personalizing instruction in mathematical equivalence.