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Theses/Dissertations

Mathematics

University of Central Florida

Honors Undergraduate Theses

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Multicolor Ramsey And List Ramsey Numbers For Double Stars, Jake Ruotolo Jan 2022

Multicolor Ramsey And List Ramsey Numbers For Double Stars, Jake Ruotolo

Honors Undergraduate Theses

The core idea of Ramsey theory is that complete disorder is impossible. Given a large structure, no matter how complex it is, we can always find a smaller substructure that has some sort of order. For a graph H, the k-color Ramsey number r(H; k) of H is the smallest integer n such that every k-edge-coloring of Kn contains a monochromatic copy of H. Despite active research for decades, very little is known about Ramsey numbers of graphs. This is especially true for r(H; k) when k is at least 3, also known as the multicolor Ramsey number of …


Exploring The Experiences Of Learning Mathematics For A Child With Cancer: A Case Study, Elizabeth M. Bello Jan 2017

Exploring The Experiences Of Learning Mathematics For A Child With Cancer: A Case Study, Elizabeth M. Bello

Honors Undergraduate Theses

In this research report, I utilize interpretative phenomenological analysis (Smith, Flowers, & Larkin, 2009) to examine the mathematics education experiences of a child with cancer. Two qualitative interviews with a 13-year-old male patient with Hodgkin’s Lymphoma and his mother were analyzed. Findings revealed several storylines or themes: living with cancer, environmental barriers, and mathematics in virtual school. Grade level mathematics, content knowledge, and delivery during treatment in comparison to the child’s healthy peers are also discussed.