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Science and Mathematics Education

Claremont Colleges

2020

Golden spiral

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What Would The Nautilus Say? Unleashing Creativity In Mathematics!, Megan E. Selbach-Allen, Cathy A. Williams, Jo Boaler Jul 2020

What Would The Nautilus Say? Unleashing Creativity In Mathematics!, Megan E. Selbach-Allen, Cathy A. Williams, Jo Boaler

Journal of Humanistic Mathematics

While the nautilus shell is often represented in popular culture as an example of a golden spiral, according to many mathematicians it is not. In this paper we examine multiple arguments for and against considering the nautilus as a “golden” spiral and offer a semi-structured task that is accessible to middle school students and beyond to begin their own investigation. Our hope is that asking, what would the nautilus say, can serve as a starting point for children and adults alike to push against the walls we so often draw around mathematical questions and begin to see where their creativity …