Physical Sciences and Mathematics Commons^™

Investigation Into The Measurement Of Student Ability: Refinements, Improvements And Enhanced Understanding Of Factors That Influence Performance, David Schreurs

Theses and Dissertations

The following series of experiments were all designed and implemented with the goal of understanding and improving undergraduate students understanding of chemistry. In order to accurately access changes in student’s chemistry understanding, the first chapter focuses on how a student’s chemistry proficiency can be most effectively measured. This includes practical recommendations for the average instructor as well as advanced methods more appropriate for researchers who require highly precise scores. With a better understanding on how to measure student proficiency, the next step was working to improve student understanding through various types of feedback following assessments. On top of establishing a …

Exploring The Division Algorithm In Euclidean Domains With Exploding Dots, Nicholas Johnson

Theses and Dissertations

We will give an overview of the representation of place value and arithmetic known as Exploding Dots and use this idea to explore the division algorithm. It is well-known that the ring of integers, the ring of polynomials, and the ring of Gaussian integers are all examples of Euclidean domains and therefore possess a division algorithm. Exploding Dots beautifully illustrates how one can perform division in any base and how this naturally leads us to division of polynomials. We will show how this same idea of having a “base machine” can be used to perform division in the Gaussian integers. …

Examining Virtual Mathematics Instruction: A Comparative Case Study Of In-Service Elementary Teachers With Mathematics Anxiety And Mathematics Teaching Self-Efficacy, Telashay Swope-Farr

Theses and Dissertations

Mathematics Anxiety (MA) and Mathematics Teaching Self-Efficacy (MTSE) have been reported as factors related to teachers’ mathematics instruction. This study investigated MA and MTSE in in-service elementary teachers’ virtual mathematics instruction. A comparative case study design was used to understand the relationship between MA, MTSE, and their virtual mathematics instructional practices. Two in-service elementary teachers from an urban public charter school district in a large metropolitan city in the Midwest participated. I employed qualitative methods to examine the results from the Abbreviated Mathematics Anxiety Rating Scale (AMAS), an adapted version of a researcher-developed instrument called the Mathematics Teaching and Mathematics …

Complexity Of Gamification, Kompalli V M Jwala Seethal Chandra

Theses and Dissertations

This thesis introduces ideas for determining the Complexity of Gamifying the learning of a task/skill. We have taken three different tasks: Learning of L2 Languages (Non-mother-tongue languages), Learning about Food preparation and Learning of Physical exercises and applied our ideas to identify the complexity of gamifying them. To further supplement our idea, we have taken few existing popular gamified tasks by 3rd party companies and addressed the complexity of making them, using our ideas, and how adding new features to them, will increase the complexity. In summary, our work presented in this thesis is useful in practice for estimating a …

The Assessment Of Technology Adoption Interventions And Outcome Achievement Related To The Use Of A Clinical Research Data Warehouse, Katie A. Mccarthy

Theses and Dissertations

Introduction: While funding for research has declined since 2004, the need for rapid, innovative, and lifesaving clinical and translational research has never been greater due to the rise in chronic health conditions, which have resulted in lower life expectancy and higher rates of mortality and adverse outcomes. Finding effective diagnostic and treatment methods to address the complex challenges in individual and population health will require a team science approach, creating the need for multidisciplinary collaboration among practitioners and researchers.

To address this need, the National Institutes of Health (NIH) created the Clinical and Translational Science Awards (CTSA) program. The CTSA …

Integration Of Scale-Themed Instruction Across The General Chemistry Curriculum And Selected In-Depth Studies, Jaclyn Trate

Theses and Dissertations

In 1982, in response to a growing demand for a scientifically literate population, two organizations, the AAAS and NCISE published reports that proposed using themes to bridge scientific disciplines1,2. The NCISE report identified “9 explanatory concepts” which included organization, cause and effect, systems, scale, models, change, structure or function, discontinuous and continuous properties, and diversity. The AAAS report, as part of Project 2061, identified 4 themes that define science literacy which included systems, models, constancy and change, and scale. In 1993, the AAAS released the Benchmarks for Science Literacy3 which outlined what all students should know or be able to …

A Study Of The Effect Of Using Simulations On Students' Learning Of Inferential Statistics In The Elementary Statistics Classes In The Mathematics Department Of The University Of Wisconsin Milwaukee, Alexa Schut

Theses and Dissertations

This thesis reports the results of a studying into the use of simulation-based teaching in Introductory Statistics Class to analyze the effectiveness of this teaching strategy. We give a brief overview of the more recent research into the impact of using computer simulations in an introductory statistics course in order to deepen student understanding of inferential statistics along with the a look at a similar study recently conducted at another university. We then give a review of our study conducted in Math Stat 215 classes at UW-Milwaukee to evaluate whether or not the use of simulations in this introductory statistics …

Persistence In Stem: Development Of A Persistence Model Integrating Self-Efficacy, Outcome Expectations And Performance In Chemistry Gateway Courses, Shalini Srinivasan

Theses and Dissertations

STEM persistence has been an important issue, especially in the context of underrepresented groups based on race and gender. Researchers in the last decade or so have been examining the powerful impact that affective and cognitive factors can exert individually on performance and persistence. It is only reasonable to hypothesize that combining affective and cognitive measures would offer a more thorough understanding of factors that impact students’ performance and STEM persistence. Evaluating these outcomes in the context of gateway courses is particularly essential due to the non-negligible percentage of students who drop out of these courses or decide to change …

Making Mathematics Memorable, Meaningful, And Fun: Activities To Enhance Precalculus, Nat White

Theses and Dissertations

To master material, students need to make it their own. As teachers, we should structure their interactions with mathematics in ways that are memorable, meaningful, and fun. One way to do this is to provide activities that stretch beyond the textbook and lead students to think and talk to one another about mathematics. This thesis contains a set of activities designed to enhance a precalculus course, along with solutions and feedback on each activity.

Effects Of Visualization On Algorithm Comprehension, Matthew Mulvey

Theses and Dissertations

Computer science students are expected to learn and apply a variety of core algorithms which are an essential part of the field. Any one of these algorithms by itself is not necessarily extremely complex, but remembering the large variety of algorithms and the differences between them is challenging. To address this challenge, we present a novel algorithm visualization tool designed to enhance students understanding of Dijkstra’s algorithm by allowing them to discover the rules of the algorithm for themselves. It is hoped that a deeper understanding of the algorithm will help students correctly select, adapt and apply the appropriate algorithm …

Analyzing State Attempts At Implementing The Common Core State Standards For High School Geometry: Case Studies Of Utah And New York, Edward Steltenpohl

Theses and Dissertations

This study analyzes two state attempts at aligning curricula to the Common Core State Standards (CCSS) in secondary school geometry. The education departments of Utah and New York have approved curricula aimed at aligning to the Common Core State Standards: the Mathematics Vision Project (MVP) and EngageNY (ENY) respectively. This study measures the extent to which those curricula align with the content demands of the relevant Common Core Standards. The results indicate that, while the two curricula vary in structure and assumptions about learners, each one aligns well with the Common Core State Standards in secondary school geometry. We conclude …

Inferential Procedures For Dominance Analysis Measures In Multiple Regression, Shuwen Tang

Theses and Dissertations

In order to better interpret a selected multiple regression model, researchers are often interested in whether a predictor is significantly more important than another or not. This study investigates the performance of the Normal-Theory based (asymptotic) confidence interval and bootstrap confidence intervals for predictors' dominance relationships using both normal and non-normal data. The results show that asymptotic confidence interval method is adequate to make inferences for comparing two general dominance measures when the distribution is multivariate normal or slightly non-normal and when the effect size is no less than 0.15 and the sample size is at least 100. However, the …

Validity And Rater Reliability Of Peer And Self Assessments For Urban Middle School Students, Lucas Jackson

Theses and Dissertations

This project studied the validity and reliability of self and peer assessments used for group work. The targeted population is middle school students in urban schools. The sample includes 45 sixth graders selected from a public middle school in a large Midwestern metropolitan area. The students worked in groups to complete a classroom project. Self and peer assessment forms were used to rate each member's contribution to the group work. A Generalizability Theory design was used to evaluate the reliability of self and peer assessments. The validity of student ratings was assessed by comparing them to those assigned by the …

A Computer Learning Environment For Novice Java Programmers That Supports Cognitive Load Reducing Adaptations And Dynamic Visualizations Of Computer Memory, James Stephen Williams

Theses and Dissertations

Learning to program a computer is difficult for many. The Learning Edge Momentum hypothesis suggests that the difficulty may be due to the tightly integrated nature of programming concepts and adapting the way curriculum is offered may have a significant influence on the outcomes. We investigate applying cognitive load reducing methods to instruction of the introductory programming concepts of declaration, assignment and sequence, using a new learning environment that an instructor can adapt for a specific example or that a student can personalize for amount and modality of content provided. Our study has three learning surveys. Each learning survey has …

An Analysis And Comparison Of The Common Core State Standards For Mathematics And The Singapore Mathematics Curriculum Framework, Heidi Ann Ertl

Theses and Dissertations

In this analysis and comparison we look at the Common Core State Standards for Mathematics and the Singapore Mathematics Curriculum Framework, standards documents that guide primary and secondary mathematics education in the United States and Singapore respectively. The official Common Core State Standards for Mathematics website claims that the standards have been developed to be "internationally benchmarked, so that all students are prepared for the 21st century". Singapore has recently been recognized as a world leader in mathematics education. We investigate the claim that the Common Core State Standards for Mathematics are internationally benchmarked by comparing the Common Core State …

Teachers' Beliefs And Practices Regarding Homework: An Examination Of The Cognitive Domain Embedded In Third Grade Mathematics Homework, Pandora Dell Bedford

Theses and Dissertations

The purpose of this phenomenological study was to gain a better understanding of third grade math teachers''beliefs and practices regarding homework, to explain how teachers''beliefs and practices regarding homework aligned to the framework of the Revised Bloom's'Taxonomy Cognitive Domain, and to determine the administrative influences on homework practices. The data were collected during October and November 2013. Six third grade math teachers (primary unit of analysis) and four principals (secondary unit of analysis) were interviewed from Dell School District. Each participant (teacher and principal) was interviewed for approximately one hour. A second meeting was set at a later time with …

The Effects Of School Type On Kindergarten Reading Achievement: Comparing Multiple Regression To Propensity Score Matching, Farrin Denise Bridgewater

Theses and Dissertations

BACKGROUND: Students taught at private schools by and large attain higher marks on reading achievement tests than do students taught at public schools. This difference is further aggravated by race, socioeconomic status, and reading ability at the entry of kindergarten.

PURPOSE: The goal of this nonexperimental study was to investigate whether students in either school type vary in reading achievement when they are measured on similar confounding variables (i.e., race, SES, and reading scores at the entrance of kindergarten).

METHODS: Propensity score matching, a method used to estimate causal treatment effect, was used to analyze the original sample of 12,250 …

Determining The Alignment Of Math 105 - Intermediate Algebra At The University Of Wisconsin--Milwaukee To The Goals Of The Common Core State Standards, Raymond Dempsey

Theses and Dissertations

In this analysis we examine the Common Core State Standards for Mathematics and compare them to content presented in Math 105 - Intermediate Algebra at the University of Wisconsin-Milwaukee, in order to determine how well the UW-Milwaukee course develops the skills described in the standards. This is done by examining the structure, textbook content, and assessments of the course. Examining relevant high school standards, we determine that many of the procedural elements of these standards are present in the course while many of the conceptual elements are absent or poorly developed. After, we discuss content that is present in the …

An Analysis Of The Common Core State Standards For Mathematics And The Content Of Math 095: Essentials Of Algebra At The University Of Wisconsin-Milwaukee, Hayley Nathan

Theses and Dissertations

In this analysis we present the content in Math 095: Essentials of Algebra at the University of Wisconsin-Milwaukee that is aligned to the Common Core State Standards for Mathematics. We find that the content in Math 095 is aligned to a small subset of the high school Number and Quantity, Algebra, and Function standards. We present a representative sample of homework and assessment items from the traditional lecture format of Math 095 and compare them to assessment items released by the Smarter Balanced Assessment Consortium and Illustrative Mathematics. We then discuss content from the Common Core State Standards for Mathematics …

The Measure And Instruction Of Scale In Introductory Chemistry, Karrie Linn Gerlach

Theses and Dissertations

As a student, it is fundamental to comprehend how small an atom or molecule is in order to truly understand how the world works. The American Association for the Advancement of Science (AAAS) has determined that scale is a critical theme that pervades through all areas of science and is critical to a deep understanding. This project determined that students, which are more proficient with scale and moving between the macroscopic and particle worlds, were better performers in chemistry classes. Interviews were used to determine what the students understood and what common misconceptions were present. These lead to the development …

Rapid Knowledge Assessment (Rka): Assessing Students Content Knowledge Through Rapid, In Class Assessment Of Expertise, Erin Margaret O'Connell

Theses and Dissertations

Understanding how students go about problem solving in chemistry lends many possible advantages for interventions in teaching strategies for the college classroom. The work presented here is the development of an in-classroom, real-time, formative instrument to assess student expertise in chemistry with the purpose of developing classroom interventions. The development of appropriate interventions requires the understanding of how students go about starting to solve tasks presented to them, what their mental effort (load on working memory) is, and whether or not their performance was accurate. To measure this, the Rapid Knowledge Assessment (RKA) instrument uses clickers (handheld electronic instruments for …