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## Full-Text Articles in Education

#### Using Mathematical Research Methods To Solve A Problem In Music Theory Instruction, Specifically, The Teaching Of Secondary Dominant Chords, Angela Ulrich

*Williams Honors College, Honors Research Projects*

The mathematical method for research is used to find a solution to a problem in music theory: understanding and identifying secondary dominant chords. By reviewing and assessing the teaching methods of university professors and theory textbooks, and comparing those findings with student reviews, a new method for teaching the concept is developed. The proposed system incorporates aural, visual, and kinetic exercises to serve every learner. The literature review and sample unit plan are followed by a possible procedure for testing the effectiveness of the new method.

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 …