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Williams Honors College, Honors Research Projects

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The Relationship Between Engagement And Tactile Learning In A Math Classroom Setting, Mikayla Mcbride Jan 2022

The Relationship Between Engagement And Tactile Learning In A Math Classroom Setting, Mikayla Mcbride

Williams Honors College, Honors Research Projects

math setting. I will be teaching a student two similar lessons of multiplication. One lesson will be taught completely with manipulatives. The other lesson will be taught with pencil and paper. The level of engagement between the student and the lesson will be measured for each lesson. I will be using formative assessment to measure student engagement through observation. I will also use a checklist to check multiplication accuracy at the end of the lesson. My hypothesis is that the student will have a higher level of engagement when tactile learning is used. I believe the student will have a …


A Review Of Secondary Mathematics Textbooks On Families Of Functions, Emily Nyszczy Jan 2016

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 …


The Importance Of A Strong Mathematical Foundation, Jasmine M. Wriston Jan 2015

The Importance Of A Strong Mathematical Foundation, Jasmine M. Wriston

Williams Honors College, Honors Research Projects

The mathematical skills students learn from kindergarten through eighth grade are the foundational skills upon which all higher level mathematics courses build. It is highly beneficial that students master previous mathematics concepts, applications, and skills, prior to learning algebra and other higher level mathematical courses. Mastering elementary and middle level mathematics before learning algebra increases students’ chances for success when taking an algebra course. This study tested 39 ninth and tenth graders, from the college preparatory program Upward Bound, on the mathematical domains of fractions and ratios/proportions. Participants took one of two tests, each composed of three questions increasing in …