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Carroll College

Mathematics, Engineering and Computer Science Undergraduate Theses

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Confidence Intervals In A High School Statistics Class, Alexander Chopyak Apr 2016

Confidence Intervals In A High School Statistics Class, Alexander Chopyak

Mathematics, Engineering and Computer Science Undergraduate Theses

In order to be a functioning member of society, it is important that a citizen understands basic statistics. One key topic in particular is confidence intervals. There are confidence intervals in everyday life, no matter if you are a person in college or just a person in society. Many claims about population rely on a sample and the statistics of confidence intervals. For example: We believe, with 95% confidence, that 40% ± 3% of Americans will approve a new law by Congress, meaning that we are 95% confident that any sample formed in this way will have a proportion or mean ...

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 ...

Statistical Retention Analysis Of Enrollment Data At Carroll College, Dustin Dickerson Apr 2010

Statistical Retention Analysis Of Enrollment Data At Carroll College, Dustin Dickerson

Mathematics, Engineering and Computer Science Undergraduate Theses

Organizations around the world hire operations scientists and data analysts to ensure their resources are being used to their maximum potential. Colleges and universities are no exceptions. Admissions offices, in particular, store incredible amounts of data about students who attend their institution. This data includes, but is not limited to, high school GPA, SAT and ACT scores, sex, ethnicity, age, household income, and intended major. What schools hope to learn from this data is two-fold: 1. What kind of student is the school most likely/unlikely to retain until graduation? 2. How effective are new retention programs? Knowing what student ...

Mathematics Education And Multiple Intelligences, Bethany Brownlee Apr 2007

Mathematics Education And Multiple Intelligences, Bethany Brownlee

Mathematics, Engineering and Computer Science Undergraduate Theses

This thesis explores the utilization of Multiple Intelligences in the mathematics classroom. There are eight distinct multiple intelligences found in students. Each intelligence is unique and every student has a blend of the eight intelligences. The thesis discusses different methods and modes for integrating multiple intelligences into the classroom, and more specifically the mathematics classroom. The major contribution of the thesis is 22 original multiple intelligence activities for the mathematics classroom.

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 ...

Apr 2002

Mathematica Outside The Lab: Transferring Classroom Material Onto The World Wide Web, Rebecca Baker

Mathematics, Engineering and Computer Science Undergraduate Theses

The Internet has greatly expanded over the last decade, yet there are few options for people wishing to create interactive Web pages that can perform computations and neatly format mathematical expressions. Many educators wish to make classroom labs and exercises available online, without hindering students with more code than necessary. In addition to educators, many companies (such as Analytic Cycling) have a need to include interactive calculators on their Web pages. However, current mathematical tools are lacking in one or more areas. Common problems with current mathematical tools include the following: • Verbose and non-intuitive code • Lack of supporting software • Little ...

Mathematics And Music: Integrating The World Wide Web Into Today’S Education System, Kimberly Boehmer, Kayme Johnson, Marisa Peila Apr 1999

Mathematics And Music: Integrating The World Wide Web Into Today’S Education System, Kimberly Boehmer, Kayme Johnson, Marisa Peila

Mathematics, Engineering and Computer Science Undergraduate Theses

In the global village, technology continually grows, enabling people to communicate, solve problems, and convey ideas. Students can benefit by using technological advances to enhance their education. The ultimate goal of our thesis is to encourage the use of technology in the classroom by introducing teachers and students to the World Wide Web. Specifically, we focus on using computers and other technology to enhance mathematics education at the high school level. To meet our goal, we created a web page entitled, “Mathematics in Music: Integrating Education and the World Wide Web.” We offer the web page as an example of ...

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.

Gender Differences In Mathematics Achievement And Confidence In The Learning Of Mathematics In Grades Eight And Nine Of A Montana Community, Darcie Hilton

Mathematics, Engineering and Computer Science Undergraduate Theses

This thesis reviews past research on gender differences in mathematics achievement and attitudes toward mathematics. The review is divided into three categories: gender differences that have been found in mathematics, possible causes of those gender differences, and ways to eliminate the gender differences. A small community in Montana was tested for gender differences in mathematics achievement and confidence in the learning of mathematics. The subjects consisted of 55 females and 56 males in grades eight and nine. The subjects’ scores on the Fennema-Sherman Confidence in the Learning of Mathematics Scale and the CTBS Mathematics Achievement Test were compared to each ...

Apr 1990

The Use Of Hands-On Models In The Teaching Of Geometry In The High School Classroom, Richard O'Leary

Mathematics, Engineering and Computer Science Undergraduate Theses

“How can students compete in a mathematical society when they leave school knowing so little mathematics?” This quote is taken from Everybody Counts: A Report to the Nation on the Future of Mathematics Education, and sums up the current concerns of many mathematics educators. The past decade has been filled with disturbing reports, including An Agenda for Action. A Nation at Risk, and Everybody Counts, that deal with the status of the American educational system. In addition to learning that Johnny cannot read, we learned that Johnny also cannot add or subtract. Throughout American high schools, student achievement in mathematics ...

Minimum Competency Testing: An Overview Of Testing Programs, Karen Perrier Apr 1981

Minimum Competency Testing: An Overview Of Testing Programs, Karen Perrier

Mathematics, Engineering and Computer Science Undergraduate Theses

Probably the greatest alarm to the American Public concerning their education system came about with declining SAT and ACT test scores. The rash declines sparked the realization for the need to examine the school system. The SAT, Scholastic Aptitude Test, and ACT, American College Test, are given to high school college-bound seniors, with one or both required for admission. The SAT is scored on a scale of 200 to 800 in the areas of verbal and mathematic skills. The ACT grading scale ranges from 1 to 36, with an average composite score taken from the areas of English, Math, Social ...

Apr 1975

The Use Of A Computer As A Teaching Device For Certain Concepts Of The Calculus, Mary Harris

Mathematics, Engineering and Computer Science Undergraduate Theses

Many concepts involved In the calculus can be presented in a nore obvious Banner by the use of a computer. So much of the calculus involves many very small values that become tedious for a beginning student to calculate. In doing the calculations he loses sight of his objective in the problem. This paper attempts to explore the various possibilities for use of the computer in teaching a course In elementary calculus. There are three basic areas of calculus where a computer could be used as an aid for teaching. These are the limit, the integral calculus and graphing. The ...

Apr 1957

The Teaching Of Trigonometry In The Secondary School, Leo Lapke

Mathematics, Engineering and Computer Science Undergraduate Theses

It is my purpose in the writing of this thesis to give reasons for the teaching of trigonometry in the high school; give a short history of trigonometry and show the importance that trigonometry has played in the world; and to then go into some detail on the material to be covered in a high school trigonometry course and the methods of teaching this material. I will not work example problems for each set of formuli, but will try to have representative problems of each distinct type. Similarly, I will not prove all the identities, but will try to give ...