The research first looked at the placement test used by the school to determine which math classes each student should be placed in. By studying the data gained through this year's test results, the biggest areas of concern were revealed. Online resources were found to help teach these concepts, and customized packets were made for each student who took our placement test. Different methods of video creation and online tutoring were examined. A website was also created to house all the resources collected in one place. Finally, a few students will be selected to take a reassessment test and the success of the resources collected will then be studied based on the data it returns.

]]>We look to answer the following question: Can we complete a proof of an “Empirical Hypothesis” in the spirit of the Andrews-Baxter motivated proof in order to discover identities of the Rogers-Ramanujan type in regard to overpartitions? Through the course of our research, we will prove an “Empirical Hypothesis” and subsequently identify new partition and overpartition identities. What distinguishes our research from the research done previously is the application to overpartitions. Overpartitions have appeared in recent work of many mathematicians, and their study bears strong parallels to the study of partitions. We hope to extend the work on “motivated proofs” of partition identities to overpartitions, and to find new overpartition identities using this technique.

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