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Mathematics And Music: A Search For Correlation, Isaac Sarver
Mathematics And Music: A Search For Correlation, Isaac Sarver
Williams Honors College, Honors Research Projects
Several studies have been conducted, which have shown connections between content in music and mathematics. Concepts such as fractions, ratios, etc. are mathematical concepts that also can be found or expressed through music. Although these connections have been made, they primarily address connections within the subject matter of music and math. This study attempts to find a correlation between a high school student participating in a school sponsored music program and receiving a higher average math grade. In the study, two school districts provided anonymous student math score data, while also showing which students participated in a music program. From …
A Review Of Secondary Mathematics Textbooks On Families Of Functions, Emily Nyszczy
A Review Of Secondary Mathematics Textbooks On Families Of Functions, Emily Nyszczy
Williams Honors College, Honors Research Projects
In 2008, twelve commonly used textbooks were studied for their use of technology and content across 5 families of functions: polynomial, rational, exponential, logarithmic, and trigonometric. Since 2008, the Common Core State Standards have been released and many textbook companies have used this as an opportunity to change their textbook content. This study reevaluates new high school algebra and precalculus textbooks across many of the same criterion studied in 2008. Some topics such as increasing and decreasing functions significantly increased their presence in the mathematics textbooks while topics such as sketching graphs has decreased. The reason for this shift in …