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## Full-Text Articles in Education

Asynchronous Class For Algebra I Preparation, Hunter Garretson

#### Asynchronous Class For Algebra I Preparation, Hunter Garretson

*Williams Honors College, Honors Research Projects*

Algebra I is the first high school mathematics class students take making it an important building block in the student’s growing mathematical foundation. Mitigating any losses in knowledge over the summer by using educational review tools has been proven helpful in previous studies. Every student comes from a different background, socioeconomic class, ethnicity, culture, etc., allowing each student to have a different summer experience. A meta-analysis looking into the concern of Summer Learning Loss (SLL) found that while some of its sample size would make summer knowledge gains, more than half of the sample size was projected to suffer from …

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

#### 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

#### 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

#### 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 …**