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Theses/Dissertations

Carroll College

Mathematics

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Full-Text Articles in Education

Suggested Types Of Manipulatives To Aid In Teaching Geometry To Various Age Groups Of Students, Tessa Berg Apr 2015

Suggested Types Of Manipulatives To Aid In Teaching Geometry To Various Age Groups Of Students, Tessa Berg

Mathematics, Engineering and Computer Science Undergraduate Theses

Geometry is a complex and visual discipline. Because geometry includes abstract concepts, geometry teachers often use manipulatives to make concepts visible and tangible. In this thesis, the question is proposed: which types of manipulatives are most beneficial to which age groups based on student achievement, student engagement and the Common Core State Standards. This thesis analyzes the existing research about the use of different types of manipulatives with different age groups. The research was separated into age group brackets, kindergarten through second grade, third grade through fifth grade, sixth grade through eighth grade, and ninth grade through twelfth grade. The ...


The Role Of Math Modeling In The Common Core, Ashley Perez Apr 2014

The Role Of Math Modeling In The Common Core, Ashley Perez

Mathematics, Engineering and Computer Science Undergraduate Theses

Mathematics education in the United States has been through many reforms, the latest of which is the Common Core State Standards Initiative. While many of the old standards are modifications of the existing standards, the process of mathematical modeling introduced by the Common Core State Standards for Mathematics is one of the major changes. Modeling is a way to link the classroom to real world problems and enables students to problem solve, think critically, collaborate with other students, and use a variety of mathematical tools to answer problems. We first explore modeling within the Common Core State Standards Initiative for ...


Exploring The Natural Connection Of Mathematical And Musical Concepts Using Mathematica, Joe Hayter, Sarah Cobb Apr 2002

Exploring The Natural Connection Of Mathematical And Musical Concepts Using Mathematica, Joe Hayter, Sarah Cobb

Mathematics, Engineering and Computer Science Undergraduate Theses

Math and music share one very common property; they are both universal languages of the world. Their scientific relationship represents another powerful tie. The harmonious, unique, and enjoyable tunes we hear are surrounded by scientific and mathematical concepts that make music possible. Exploring this natural connection between math and music allows for a more complete understanding of both these subjects. By analyzing the formulas used to create musical notes, examining how to apply matrices to music, and implementing an inter-disciplinary unit of math and music into the classroom, the reader of this thesis will discover the multitude of similarities that ...


Spiralling Through Graph Theory, Melinda Milani Apr 1997

Spiralling Through Graph Theory, Melinda Milani

Mathematics, Engineering and Computer Science Undergraduate Theses

The purpose of this thesis is twofold. The first objective is to explore graph theory—both its concepts and applications. The second objective is to use graph theory in a particular application: education. These two objectives culminate course work done at Carroll College under the program of Mathematics—Secondary Education.