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I investigate the unique or unusual characteristics of mathematical problem-solving among adults on the autism spectrum by conducting and analyzing three case studies. The case studies involve providing individuals with a variety of mathematical problems divided into four main groups: paradoxes of infinity, problems emphasizing algebraic or geometric solution, probability, and logic and proof. Participants are given individual interviews, intended to facilitate the communication of their thought processes when solving these problems. Results are analyzed with a variety of constructs, from a perspective that is rooted in Vygotskian ideas and supportive of neurodiversity.