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Ten elementary and middle school prospective teachers (PTs) participated in clinical interviews where they modeled integer addition and subtraction number sentences with two-colored chips. The PTs constructed various models using the chips that both matched and did not match the number sentences presented to them. Although the prospective teachers sometimes created models that did not match the integer addition and subtraction number sentences, some recognized these inconsistencies. The results highlight spaces of PTs' struggles and accomplishments with using two-colored chips for certain integer number sentences. Implications of this study support facilitating PTs' construction of models and leveraging their thinking and uses of models in instruction.