Mathematics Commons^™

Software Internationalization: A Framework Validated Against Industry Requirements For Computer Science And Software Engineering Programs, John Huân Vũ

Master's Theses

View John Huân Vũ's thesis presentation at http://youtu.be/y3bzNmkTr-c.

In 2001, the ACM and IEEE Computing Curriculum stated that it was necessary to address "the need to develop implementation models that are international in scope and could be practiced in universities around the world." With increasing connectivity through the internet, the move towards a global economy and growing use of technology places software internationalization as a more important concern for developers. However, there has been a "clear shortage in terms of numbers of trained persons applying for entry-level positions" in this area. Eric Brechner, Director of Microsoft Development Training, suggested …

Cryptography: A History In Mathematics, An Application In The Classroom, Brian Olmanson

Honors Capstones

Capstone submitted as a graduation requirement for the BSU Honors Program.

Use Of Cognitive Constructs In Linear Algebra, Azucena Zamora

Open Access Theses & Dissertations

Thesis analyzed the presence of two cognitive entities-- modes of thinking and metonymies and metaphors- in the reasoning of three students enrolled in a first year matrix algebra course at a southwest university via the responses given to a set of eight questions asked during one-on-one interviews. The findings of our analysis shed light on the cognitive constructs that students employ to form their understanding of linear algebra concepts. Furthermore, our findings provide clues about the ways in which students move from one mode of thinking to another in the context of varying levels of exposure to graphical, algebraic, and …

Manipulatives In Mathematics Instruction, Jessica Strom

Mathematics Graduate Theses

This paper is a review of research pertaining to the use of manipulatives in middle and secondary school mathematics instruction. It covers the research on the rationale for using manipulatives, the psychology behind learning with manipulatives, the common mistakes when teaching with manipulatives, and the suggested process to follow when using manipulatives in the classroom. There is a large amount of research and information on manipulatives in the classroom. One of the most prevalent topics addresses that the concrete characteristics of manipulatives allow students to progress through a natural learning process on their way to an abstract understanding of mathematical …

Does A Co-Learner Delivery Model In Professional Development Affect Teachers’ Self-Efficacy In Teaching Mathematics, John J. Ribeiro, Denise Demagistris

Teacher Education

A mixed method study is reported examining teacher efficacy regarding professional development in mathematics instruction for two groups of teachers: in building with peers (N=17) and MAT student co-learners in the classroom (N=14). An end-of-course survey, focus group interviews and pre-post data for the Teacher Self Efficacy Scale were used to investigate:1. What is the difference in teachers’ efficacy regarding mathematics instruction based on the professional development delivery system they experienced? 2. What are teachers’ perceptions of their professional development with peers conducted onsite in district compared with professional development with peers and preservice teachers at a university setting? Descriptive …

The Effects Of Block Scheduling On Ap Calculus Ab Student Achievement, Larry A. Lightner

Mathematics Graduate Theses

Student achievement on the AP Calculus AB Exam is always a concern for teachers and school districts that offer the exam. A factor of concern that also arises is a school’s schedule. A school’s schedule may have an affect on achievement. This study examines the comparison in achievement of students who take the AP Calculus AB Exam under a block schedule and a traditional schedule system. Block Scheduling is defined as a class period of 80-90 minutes with 4 periods each day, allowing a full year’s curriculum to be offered in one semester. Traditional scheduling is defined as a class …

Cooperative Learning In The Mathematics Classroom, Janine Regnier

Mathematics Graduate Theses

Student interactions are important which provokes the idea that cooperative learning should be incorporated into classrooms. Research states many benefits for incorporating cooperative learning and are included in the literature review. Cooperative groups were introduced and studied by the author, who ultimately concluded that cooperative learning does have a place in Mathematics classrooms and should be used when the lesson lends itself to a cooperative environment. The study results can be found in this paper following the literature review.

To What Degree Will Differentiated Instruction Impact Student Grades In A Middle School Classroom?, Maureen K. Wilke

Mathematics Graduate Theses

The middle school student population encompasses one of the widest ranges of diversity in the educational system. Besides cultural, religious, educational, economical diversity, the middle school student copes with physical and psychological changes as well. It is important to understand that reaching students successfully is not teaching one way, but providing a learning experience based on students’ needs. The five key differentiated strategies in the classroom are: knowing the student, the environment, meaningful lessons, tiered assignments, and assessment. Gather as much information on the students, such as data from past standardize tests, conversation with students, student journals about success and …

Imagine Math Day: Encouraging Secondary School Students And Teachers To Engage In Authentic Mathematical Discovery, Darryl H. Yong, Michael E. Orrison Jr.

All HMC Faculty Publications and Research

Research mathematicians and school children experience mathematics in profoundly different ways. Ask a group of mathematicians what it means to “do mathematics” and you are likely to get a myriad of responses: mathematics involves analyzing and organizing patterns and relationships, reasoning and drawing conclusions about the world, or creating languages and tools to describe and solve important problems. Students of mathematics often report “doing mathematics” as performing calculations or following rules. It’s natural that they see mathematics as monolithic rather than an evolving, growing, socially constructed body of knowledge, because most mathematical training in primary and secondary schools consists of …

The Art Of Teaching Mathematics, Garikai Campbell, Jon T. Jacobsen, Aimee S A Johnson, Michael E. Orrison Jr.

All HMC Faculty Publications and Research

On June 10–12, 2007, Harvey Mudd College hosted A Conference on the Art of Teaching Mathematics. The conference brought together approximately thirty mathematicians from the Claremont Colleges, Denison, DePauw, Furman, Middlebury, Penn State, Swarthmore, and Vassar to explore the topic of teaching as an art. Assuming there is an element of artistic creativity in teaching mathematics, in what ways does it surface and what should we be doing to develop this creativity?

Teaching Time Savers: The Exam Practically Wrote Itself!, Michael E. Orrison Jr.

All HMC Faculty Publications and Research

When I first started teaching, creating an exam for my upper division courses was a genuinely exciting process. The material felt fresh and relatively unexplored (at least by me), and I remember often feeling pleasantly overwhelmed with what seemed like a vast supply of intriguing and engrossing exam-ready problems. Crafting the perfect exam, one that was noticeably inviting, exceedingly fair, and unavoidably illuminating, was a real joy.

A Study To Ascertain The Effects Of The Connected Mathematics Project On Student Achievement In The Buffalo Public Schools, Darryl A. King

Mathematics Education Theses

This study examines the impact of The Connected Mathematics Project (CMP) on student achievement in the Buffalo School District. Student scores were compared for the Grade 8 2005 and 2006 NY State Assessments and the Grade 7 2006 NY State Assessment. Students taught with NY State Math Standards were the control group. Students taught with CMP curriculum were the experimental group. This study found mixed results in favor of the standards group.

Teaching Time Savers: Style Points, Michael E. Orrison Jr.

All HMC Faculty Publications and Research

When I began as an assistant professor, I had a pretty good sense of how much time it would take for me to prepare for each class. After a few conversations with my new colleagues, I even had a good sense of how much time I should devote to tasks like office hours and committee work. Somewhere in the middle of grading my first exam, though, it became painfully clear that I had underestimated the amount of time I would need to grade exams!

How Have Teachers Affected The Disinterest Towards Mathematics?, Amy Brown

Senior Honors Projects

In our school system today there is a collective disinterest and lack of enthusiasm towards mathematics as a whole. This apathy is prevalent as early as elementary school and continues through higher education. It is disheartening that so many students avoid mathematics because of their misconception that it is too difficult and has little value in their future. How well prepared are our teachers to deal with this? I began my research by looking at the past perceptions of mathematics and how the reform movement has changed this perspective. I also looked at the changing standards and how the Principles …

Teaching Time Savers: A Recommendation For Recommendations, Michael E. Orrison Jr.

All HMC Faculty Publications and Research

I admit it — I enjoy writing recommendation letters for my students. I like
learning about their hopes and dreams, where they have been and where they want to go. A recommendation letter is an opportunity to remind myself how much my students can grow while they are in college, and how much I have grown as an instructor, advisor, and mentor.

Communicating Applied Mathematics: Four Examples, Daniel E. Finkel, Christopher Kuster, Matthew Lasater, Rachel Levy, Jill P. Reese, Ilse C. F. Ipsen

All HMC Faculty Publications and Research

Communicating Applied Mathematics is a writing- and speaking-intensive graduate course at North Carolina State University. The purpose of this article is to provide a brief description of the course objectives and the assignments. Parts A–D of of this article represent the class projects and illustrate the outcome of the course:

• The Evolution of an Optimization Test Problem: From Motivation to Implementation, by Daniel E. Finkel and Jill P. Reese

• Finding the Volume of a Powder from a Single Surface Height Measurement, by Christopher Kuster

• Finding Oscillations in Resonant Tunneling Diodes, by Matthew Lasater

• …

Change Bell Ringing And Mathematics: A High School Student Excursion Into Graph Theory And Group Theory, Kristi Carlson

Honors Theses

This unit was created as a way to introduce higher level mathematics concepts to advanced high school students. All five of the National Council of Teachers of Mathematics Process Standards are found in this unit. For most of the unit, students work within small groups

Looking Beyond The Curriculum In Jamaica, Jon T. Jacobsen, Michael E. Orrison Jr.

All HMC Faculty Publications and Research

In August 2004, we had the opportunity to travel to Jamaica to lead a pilot workshop for Jamaican high school math teachers. The workshop focused on the importance of mathematical context in the teaching of mathematics. It was sponsored by the Gibraltar Institute, a Jamaica-based nongovernmental organization led by Trevor Campbell (Pomona College) and Reginald Nugent (Cal State Pomona), Jamaica’s College of Agriculture, Science and Education, and Harvey Mudd College.

Why Are School Districts Abandoning The Core-Plus Mathematics Curriculum, Amber Rae Richgels

Mathematics Graduate Theses

In this paper, the author establishes that high schools are abandoning the Core-Plus Mathematics curriculum and determines the need for curricular reform and the motivation to develop such standards-based programs. She discovers that although Core- Plus is a nationally recognized, exemplary mathematics curriculum, school districts are deciding to discontinue the curricular option of Core-Plus. The author reviewed literature and interviewed teachers from schools that have recently decided to abandon Core-Plus in attempt to determine factors leading to these decisions. This paper discusses those interviews, provides suggestions for the future adoption of Core-Plus, and concludes with recommendations that further study be …

Analysis Of A Mathematics Outcomes Assessment Program, Susan Ann Newman-Bourne

All-Inclusive List of Electronic Theses and Dissertations

The purpose of the study was to analyze longitudinal student data collected from the mathematics component of a general education outcomes assessment program from spring semester 1999 through spring semester 2003. The study determined whether or not newly declared Business Administration and Accounting program majors' mathematics placement scores in Numerical Skills and Elementary Algebra on a standardized pre-college assessment instrument predicted their mathematics outcomes assessment examination score on an intermediate algebra course outcomes assessment examination. The study also investigated whether the students' mathematics pre-college assessment scores predicted their mathematics outcomes assessment examination score in the Business Administration and Accounting programs' …

The Effects Of The Use Of Dynamic Geometry Software On Student Achievement And Interest, Heidi B. Hansen

Mathematics Graduate Theses

This study examines the current research that exists on the effects that the use of dynamic geometry software has on student achievement and interest level in mathematics. Additional questions examined are whether using dynamic geometry software has a greater impact on high or low achievers, and what current methods of implementation are suggested by the research. A review of the relevant literature indicates that the use of dynamic geometry software does have a positive effect on student achievement, particularly achievement in areas of high-level thinking. Insufficient research has been done on the effect that the use of dynamic geometry software …

Humanistic Mathematics: Personal Evaluation And Excavations, Stephen I. Brown

Humanistic Mathematics Network Journal

No abstract provided.

Innumeracy And Its Perils, Numeracy And Its Promises, Ramakrishnan Menon

Humanistic Mathematics Network Journal

No abstract provided.

Mathematical Card Tricks, Sarah Zimmermann

Honors Capstones

Capstone submitted as a graduation requirement for the BSU Honors Program.

Portfolio Assessment In Liberal Arts Mathematics, Mike Kenyon

Humanistic Mathematics Network Journal

This paper describes my efforts to incorporate problem-solving portfolios into my liberal arts mathematics course. I begin with a description of the components of the portfolios and the factors I consider in evaluating them. I then address some of the more significant obstacles I have encountered as well as what I consider to be among the major benefits. A selection from one student’s portfolio is appended.

Marcy's Dots: A Problem On National Test Revisited, Patricia Baggett, Andrzej Ehrenfeucht

Humanistic Mathematics Network Journal

No abstract provided.

When Is A Math Problem Really "Real"?, Michael E. Goldberg

Humanistic Mathematics Network Journal

No abstract provided.

"Magic In A Box", Lacie Juris

Humanistic Mathematics Network Journal

No abstract provided.

Divisibility: A Problem Solving Approach Through Generalizing And Specializing, Rina Zazkis

Humanistic Mathematics Network Journal

This paper describes a divisibility rule for any prime number as an engaging problem-solving activity for preservice secondary school mathematics teachers.

Journaling In The Secondary Mathematics Classroom: An Introduction, Defense, And Resource, Emily K. Falgier

Honors Capstones

Capstone submitted as a graduation requirement for the BSU Honors Program.