Digital Commons Network^™

Measurement: Surviving Our Multi-Dimensional World, Courtney Bryand

Understanding by Design: Complete Collection

Measurement: Surviving our Multi-Dimensional World is a measurement unit with a “Survivor” theme. Many components are based on the project based learning activity Stranded! The unit begins and ends in a survivor scenario - students are stranded on a deserted island and must use a piece of scrap metal (an irregular figure) to design a device to catch fresh rain water so they can survive until they are rescued.

Throughout the unit, students build understanding of measurement concepts through hands on learning activities and collaboration with peers. Students learn to use measurement concepts to describe the world around them. The …

Does The Use Of A Graphing Calculator Tutorial Affect The Attitudes, Achievement, And Calculator Ability Of Non-Mathematics Majors In A Calculus Course?, Kari Michelle Everett

Dissertations

The use of graphing calculators in a mathematics classroom is becoming more common place. Teaching with technology has allowed for advancements in the rapidity with which students learn and the degree to which they retain the material taught. As a result, teachers have time to delve more deeply into mathematical topics that might otherwise have merely been touched upon.

This study shows the effects of a graphing calculator tutorial for non-mathematics major students taking calculus as a required course. Qualitative methods were used in order to provide information about the types of students taking a calculus course for nonmathematic students. …

Mathematical Modeling And Analysis Of Epidemiological And Chemical Systems, Calistus N. Ngonghala

Graduate Theses, Dissertations, and Problem Reports (ETD)

This dissertation focuses on three interdisciplinary areas of applied mathematics, mathematical biology/epidemiology, economic epidemiology and mathematical physics, interconnected by the concepts and applications of dynamical systems.;In mathematical biology/epidemiology, a new deterministic SIS modeling framework for the dynamics of malaria transmission in which the malaria vector population is accounted for at each of its developmental stages is proposed. Rigorous qualitative and quantitative techniques are applied to acquire insights into the dynamics of the model and to identify and study two epidemiological threshold parameters reals* and R0 that characterize disease transmission and prevalence, and that can be used for disease control. It …

An Examination Of The Yang-Baxter Equation, Alexandru Cibotarica

Master's Theses

The Yang-Baxter equation has been extensively studied due to its application in numerous fields of mathematics and physics. This thesis sets out to analyze the equation from the viewpoint of the algebraic product of matrices, i.e., the composition of linear maps, with the intent of characterizing the solutions of the Yang-Baxter equation.

We begin by examining the simple case of 22 matrices where it is possible to fully characterize the solutions. We connect the Yang-Baxter equation to the Cecioni-Frobenius Theorem and focus on obtaining solutions to the Yang-Baxter equation for special matrices where solutions are more easily found. Finally, …

Looking At Mathematics Blogs, Joanne Growney

Journal of Humanistic Mathematics

A mathematician, poet, and poetry-math blogger offers a personal selection of links to a few of the blogs and other websites she has found wandering the Internet.

Student Centered Homogeneous Ability Grouping: Using Bronfenbrenner's Theory Of Human Development To Investigate The Ecological Factors Contributing To The Academic Achievement Of High School Students In Mathematics, Karla Denise Webb

Electronic Theses and Dissertations Archive

The purpose of this qualitative study was to explore the interconnectedness of the environment, human development, and the factors that influence students' academic achievement in a homogeneous ability grouped mathematics classroom. The study consisted of four African American urban high school juniors, 2 male and 2 female. During the 12 week data collection period, the participants engaged in a focus group interview, photo elicited interview, and a member check interview. The interviews were recorded and later transcribed, analyzed, and coded for codes, categories, and emerging themes. In order to obtain an in-depth understanding of the interconnectedness of students enrolled in …

The Effects Of Video Self-Modeling On The Math Performance Of Adolescents With Developmental Disabilities, Cami Elizabeth Burton

Theses and Dissertations

The current study examined the effects of video self-modeling (VSM) via an iPad on the mathematics performance of students with developmental disabilities. The learning task was presented from the consumers' point of view; students learned to estimate the amount of money they should use to pay for a given item and the amount they should receive back to help ensure that they are treated honestly by merchants. Through VSM, video clips showing the step-by-step problem solving process were synchronized onto an iPad. Students were shown how to use the iPad and access the video clips in order to watch themselves …

Parts Of The Whole: An Algebra Lesson, Dorothy Wallace

Numeracy

This column draws on research of Eon Harper to demonstrate how an understanding of his proposed stages of algebra acquisition would inform a systemic overhaul of algebra education. Harper's stages also explain why students may pass a series of algebra courses yet still be unable to make sense of calculus, as well as offering insight on what aspects of algebra support quantitative literacy.

Reducing Math Anxiety: Findings From Incorporating Service Learning Into A Quantitative Reasoning Course At Seattle University, Allison Henrich, Kristi Lee

Numeracy

How might one teach mathematics to math-anxious students and at the same time reduce their math anxiety? This paper describes what we found when we incorporated a service learning component into a quantitative reasoning course at Seattle University in Fall 2010 (20 students) and Spring 2011 (28 students). The course is taken primarily by humanities majors, many of whom would not take a course in math if they didn’t need to satisfy the university’s core requirement. For the service learning component, each student met with and tutored children at local schools for 1-2 hours per week (total about 15 service …

Quantitative Literacy At Michigan State University, 2: Connection To Financial Literacy, Dennis Gilliland, Vince Melfi, Alla Sikorskii, Edward Corcoran, Eleanor Melfi

Numeracy

The lack of capability of making financial decisions has been recently described for the adult United States population. A concerted effort to increase awareness of this crisis, to improve education in quantitative and financial literacy, and to simplify financial decision-making processes is critical to the solution. This paper describes a study that was undertaken to explore the relationship between quantitative literacy and financial literacy for entering college freshmen. In summer 2010, incoming freshmen to Michigan State University were assessed. Well-tested financial literacy items and validated quantitative literacy assessment instruments were administered to 531 subjects. Logistic regression models were used to …

Quantitative Literacy At Michigan State University, 1: Development And Initial Evaluation Of The Assessment, Alla Sikorskii, Vince Melfi, Dennis Gilliland, Jennifer Kaplan, Suzie Ahn

Numeracy

Development, psychometric testing, and the results of the administration of a quantitative literacy (QL) assessment to undergraduate students are described. Three forms were developed covering a wide range of skills, contexts, and quantitative information presentation formats. Following item generation and revision based on preliminary testing and cognitive interviewing, a total of 3,701 consented undergraduate students at Michigan State University completed one of the three forms. Two of the forms contained 14 multiple-choice items, and one form contained 17 multiple-choice items. All forms were completed by students in less than 30 minutes. Evidence of validity and reliability were obtained for the …

A Leap Forward For Quantitative Literacy, H. L. Vacher

Numeracy

The Association of American College and Universities’ Learning Education and America’s Promise (LEAP) initiative has identified quantitative literacy (QL) as one of its Essential Learning Outcomes and classified it amongst five other Intellectual and Practical Skills such as inquiry and analysis, critical and creative thinking, and written and oral communication. This brings to mind a spreadsheet in which these transdisciplinary intellectual and practical skills are rows and academic disciplines are columns. With the view that the learning outcome QL is a row crossing mathematics and other disciplinary columns, this editorial considers how the papers in this and previous issues of …

The Effects Of A Remedial Math Intervention On Standardized Test Scores In Georgia Middle Schools, Chastity London Adams

Doctoral Dissertations and Projects

Schools are looking for interventions to improve academic achievement and increase test scores due to the requirements of No Child Left Behind. One such intervention in middle schools is remedial math. This causal comparative study examined the differences in the standardized test scores for at-risk students who receive remedial math instruction and at-risk students who do not receive this intervention. In addition, this study examined gender differences for the remedial math students. The Georgia Criterion-Referenced Competency Test of 293 at-risk seventh-grade students was used in this study. Using the previous year's standardized math test scores as a control variable, there …

Investigating The Influence Of Computer Programs On Perception And Application Of Mathematical Skills, Neil M. Bly

Theses and Dissertations

Existing research suggests an intuitive relationship between mathematics and computer programming. These previous studies have focused primarily on the cognitive connection and have ignored the potential impact of programming on an individual's perception and application of mathematical skills. By surveying and interviewing a variety of participants, this study aims to provide a descriptive foundation for the experiential side of cognitive correlations and causalities. These phenomenological accounts, garnered from individual interviews of seven different programmers, indicate four specific areas of interest. First, learning to program provided context for many abstract concepts. Second, programming illustrated the important distinction between understanding the application …

The Mathematics Of Waiting, Kirsty Logan

Booth

1. Landscape

At five to nine we take the metal grilles off the window-frames. When we lift, our arm muscles tense to the size of garlic cloves. We already have crumbs in our hair. Clouds reflect on the spilled liquid on the table. A baby throws chewed raisins on the floor. Children thumb grease onto the cake cabinet. The music changes; the CD skips; it's changed back. The roots of our hair grow in the same color as coffee grounds.

Σary, Minnesota State University Moorhead, Mathematics Department

Math Department Newsletters

No abstract provided.

On The Sum Of Reciprocals Of Amicable Numbers, Jonathan Bayless, Dominic Klyve

Mathematics Faculty Scholarship

Two numbers m and n are considered amicable if the sum of their proper divisors,
s(n) and s(m), satisfy s(n) = m and s(m) = n. In 1981, Pomerance showed that
the sum of the reciprocals of all such numbers, P, is a constant. We obtain both a
lower and an upper bound on the value of P.

Challenges For Australian Education, Sue Thomson

Research Developments

Sue Thompson asks if Australia’s above average but declining performance in an international study of reading, mathematics and scientific literacy should be cause for concern.

The Predictive Validity Of High School Grades To College Remedial Mathematics Performance, John Dozier

College of Education Theses and Dissertations

The concerns for remedial education are not new – as remedial education has a long history. Yet, the issues are gaining prominence in our discourse about improving the outcomes associated with post-secondary education. Any discussion of improvement is often accompanied by a discussion regarding the challenge posed to post-secondary institutions in meeting the growing remedial needs of the students that they receive. The purpose of this research is to evaluate community college placement of students into remedial coursework through an examination of whether a student’s high school mathematics preparation and mathematics grade average are a significant determinant of their completion …

The Self-Determination Theory And Mathematics Motivation: Grade Levels And Gender Differences Among United Arab Emirates Students, Jalal Hussien

Journal of Educational and Psychological Studies

The objective of this study was to investigate the impact of students’ grade levels, gender, and interaction between the two on mathematics motivation. In addition, the relationship between students’ various types of mathematics motivation and achievement were examined. Four hundred twenty four elementary school students (186 boys and 238 girls), 588 middle school students (296 boys and 292 girls), and 276 high school students (154 boys and 122 girls) completed the MMS. The findings of this study showed that all types of motivation in mathematics steadily decreased with grade advancement (elementary through high school) with the exception of introjected regulation. …

In Students' Words: The Development Of Student Attitudes Toward Mathematics - A Social Perspective, Dianne Kathryn Kelly

Graduate Doctoral Dissertations

Student interest in pursuing advanced studies and careers in Science, Technology, Engineering, and Mathematics (STEM) has garnered much attention lately from government, business, and education leaders due to inadequate flow in the United States' STEM pipeline. Existing research points to mathematical self-efficacy and to mathematical self-concept beliefs as integral to the likelihood that a student will pursue a career in a STEM field. Students' identities, such as the "good-math-student" identity need to be verified in order for students to enact them. Both identity verification and attitude are influenced by self-efficacy and self-concept. Existing research also points to teachers, parents, and …

Using Dirichlet Process Priors For Bayesian Mixture Clustering, Xiao Huang

All Theses and Dissertations (ETDs)

We describe a non-parametric Bayesian model using genotype data to classify individuals among populations where the total number of populations is unknown. The model assumes that a population is characterized by a set of allele frequencies that follow multinomial distributions. The Dirichlet Process is applied as the prior distribution. The method estimates the number of populations together with the allele frequencies and the ancestry coefficients of each individual. Distance matrices and bootstrap support numbers based on MCMC runs are generated to create a phylogeny of the ancestral populations.

Geometric Invariants For A Class Of Semi-Fredholm Hilbert Modules., Shibananda Biswas Dr.

Doctoral Theses

One of the basic problem in the study of a Hilbert module H over the ring of polynomials C[z] := C[z1, . . . , zm] is to find unitary invariants (cf. [15,7]) for H. It is not always possible to find invariants that are complete and yet easy to compute. There are very few instances where a set of complete invariants have been identified. Examples are Hilbert modules over continuous functions (spectral theory of normal operator), contractive modules over the disc algebra (model theory for contractive operator) and Hilbert modules in the class Bn for a bounded domain C …

Equitent Problems, Payton E. Lindsay, Katelynn Kochalski, Gary R. Lawlor Phd

Honors Theses

No abstract provided.

A Multiple Regression Analysis Of Personality’S Impact On Actuarial Exam Performance, Matthew Ciaffone

Honors Projects in Mathematics

Existing literature indicates that there is some connection between personality and both academic and work-related performance. The author's intent for the research described herein is to explore this connection for students majoring in actuarial mathematics with regard to their performance on actuarial certification exams. Specifically, using the five-factor model of personality, the author seeks to predict the number of attempts required to pass the first two exams in the process (Exam 1/P - probability; Exam 2/FM - financial mathematics) using measures of the five dimensions of the five-factor model (openness to experience, conscientiousness, extraversion, agreeableness, and emotional stability) through regression …

Factors Related To Math Performance And Potential Benefits Of One-On-One Instruction, Amanda Zagame

Honors Projects in Mathematics

This fall 2010 study of Bryant University students enrolled in freshman-level math courses considered factors related to college-level math performance, including gender, math self-efficacy, math anxiety, and utilization of professors’ office hours and/or tutoring center services. Female students at Bryant reported lower levels of math self-efficacy and higher levels of math anxiety, both of which research has shown to be negatively correlated with test scores. The use of one-on-one instruction was expected to provide a potential counterweight to this equation. Results from the 287 initial and 229 final surveys administered in this study did not support this hypothesis. This phenomenon …

An Investigation Of The Relationships Between Educational Technology And Mathematics Achievement Of Students With Learning Disabilities, Kenneth George Mcleod

Dissertations

Educators are continually looking for ways to use technology that will help students who struggle with mathematics, especially students with learning disabilities. There is limited research on the effects of instructional technology resources on the achievement of students with learning disabilities in the state selected for this study. Therefore, the purpose of this study was to investigate the effects of instructional technology resources on the mathematics achievement of students with learning disabilities.

This study used a mixed-method triangulation concurrent design. In the quantitative portion of the study, the independent variable was 8th grade AMRT math scores in 67 school districts …

Student Achievement In Block And Non-Block Schedule Schools, William Shelton Smith Jr.

Dissertations

The purpose of this study was to determine if the number of minutes allocated for high school instructional periods influences student achievement. The study also examined the perceptions of principals regarding one method of instructional time allocation, block scheduling.

The study examined the differences in student achievement on a high school exit examination in the content areas of Reading and Mathematics between schools in a southern state using a four-period block schedule and schools using a non-block schedule in order to ascertain if the type of schedule has any impact on student achievement. Additionally, information pertaining to scheduling was collected …

A Comparison Of Multivariate Methods For Measuring Change From Pretest To Posttest, Justin Leslie Rogers

Dissertations

Three multivariate methods for measuring change from pretest to posttest are compared with respect to statistical power over various levels and combinations of effect size, alpha level, sample size, number of dependent variables, number of significantly different dependent variables, correlation between corresponding pretest and posttest scores, and correlation between unrelated pretest and posttest scores. The method utilizing posttests as the dependent variables and pretests as covariates was found to have superior statistical power in the majority of the scenarios examined. However, there were scenarios where the method utilizing change scores as dependent variables and the method utilizing only posttests as …

The Effect Of Direct Instruction In Teaching Addition And Subtraction Of Decimals And Decimal Word Problems On Students At Risk For Academic Failure, Heather Hoopes Small

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

This study investigated the effects of a direct instruction program on the ability of elementary school students identified as at risk for math failure to add and subtract numbers with decimals, and complete addition and subtraction word problems with decimals. Direct instruction has previously been shown to increase the math skills of special education and general education students. This study examined the extent to which these students could master these skills in six hours of instruction, with carefully designed sequences of examples and strategy instruction in word problems. The study took place in two elementary schools. The participants were fifth …