Education Commons^™

Success In College Algebra: Examining Student Experiences In Corequisite College Algebra Courses, Sandra Leiterman

Theses and Dissertations

This descriptive case study explores undergraduate student experiences and perceptions in corequisite college algebra courses at an Arkansas university. Corequisite models enroll students in credit-bearing college algebra paired with required supplemental academic support. Current research has largely focused on pass rates or DFW rates. However there are limited studies exploring student experiences within this emerging model. Within this descriptive case study, several forms of data were collected. Students were surveyed on math anxiety and mindset at the start and end of the semester. Semi-structured interviews with two students and three instructors provided personal accounts of their challenges, beliefs, and attitudes …

Developing Understanding Of Fraction And Decimal Magnitude: A Teaching Experiment, Elizabeth Cutter-Lin

Theses and Dissertations

ABSTRACT

DEVELOPING UNDERSTANDING OF FRACTION AND DECIMAL MAGNITUDE: A TEACHING EXPERIMENT

by

Elizabeth Cutter-Lin

The University of Wisconsin-Milwaukee, 2023Under the Supervision of Professor DeAnn Huinker

This study investigated how three fifth-grade students’ understanding of fraction and decimal magnitude evolved over the course of a five-week teaching experiment. Students participated in teaching and learning sessions focused on developing concepts of fraction and decimal magnitude. The following questions guided this study: (1) How do fifth grade students reason about the magnitude of fractions and decimals? (2) What are the shifts in mathematical thinking that occur with students’ evolving understanding as they progress …

An Analysis Of Secondary Mathematics Teacher Learning In The Midwest Master Teacher Partnership, Jenny Lynn Sagrillo

Theses and Dissertations

This case study investigates the professional learning and changes in teaching practices and leadership of four experienced, mid-career secondary mathematics teachers as a result of participation in the Midwest Master Teacher Partnership, a professional development partnership between a research university and a large, urban school district. The design of the professional development was based primarily on teacher action research; it placed the teacher at the center of the learning experiences, and included considerations of teachers’ existing knowledge, contexts, community, and assessment.The primary research question is, “How have teachers’ practices changed through their participation in a practice-based professional development project?” To …

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 …

Understanding The Potential Of Anticipation, Teaching, And Response To Struggle In The Learning Of Mathematics, Erin Gae Edgington

Theses and Dissertations

This qualitative semi-structured interview study investigated how the opportunity to learn with productive struggle emerges in a teacher’s beliefs, anticipation, planning, teaching, and response to struggle in learning mathematics. In this study, the experiences of student struggle in the teaching and learning of fractions was investigated through the experiences of three fifth grade and one sixth grade teacher. The purpose was to understand how the phenomenon of productive struggle in learning mathematics was impacted by teachers anticipation, planning, teaching, and response to struggle. The central research question asked: What role does productive struggle play in the design and implementation of …

American Indian Culture And Secondary Science Curricula: Examining The Confluence Of Native Epistemologies And U.S. Public Education Science Standards, Molly Anne Wolk

Theses and Dissertations

Innate to the traditional science curricula taught under the auspices of United States public education are a Neoliberal axiology and Eurocentric epistemology (Howard & Kern, 2019) that do not meet the cultural needs of American Indian students (Cobern & Loving, 2001). It is inequitable that American Indian students do not see themselves and their cultures reflected in traditional public school science texts and curricula. At the confluence of often-undifferentiated science curricula and American Indian culture and language, there is a need for a responsiveness that benefits American Indian students. This present study illuminates the research question, “What is revealed about …

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 …

A Holistic Approach To Developmental Mathematics, Leah M. Rineck

Theses and Dissertations

The purpose of this study was to develop a holistic course that meets the needs of students referred to multiple developmental mathematics courses. The study aimed to determine if the holistic design contributed to an increase in conceptual understanding of fractions, integers, and their operations. Additionally, the study analyzed the pass rates from the course design and compared these pass rates to historic versions of the course and current gateway courses. Last, the student’s perceptions of the course were analyzed to determine their perceptions of the design features of the course. The study took place at a large midwestern urban …

Prospective Early Childhood Teachers’ Evolving Conceptions Of Using A Mathematics Learning Trajectory To Guide Intentional Teaching, Melissa E. Hedges

Theses and Dissertations

This qualitative, phenomenological study investigated how fifteen early childhood

preservice teachers’ (PSTs) mathematical knowledge needed for teaching and early mathematics

learning trajectory knowledge impacted the intentionality of instructional decision-making. The

central research question asked: In what ways do early mathematics learning trajectories inform

prospective early childhood teachers’ instructional decisions in ways that are likely to advance

student learning on the subitizing trajectory? The literature review revealed numerous studies

focused on the usefulness of learning trajectory knowledge on prospective elementary and

inservice teachers’ mathematical knowledge for teaching, lesson planning, instruction, and

assessment, but no studies were found regarding early childhood pre-service …

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 …

Understanding How Students With Learning Disabilities From An Urban Environment Experience Nature-Based Informal Learning, Thor Antonio Stolen

Theses and Dissertations

Research has shown that there is an achievement gap with students of color in the urban environment and their White non-urban peers (Norman, Ault, Bentz, & Meskimen, 2001; National Research Council, 2012) additionally an achievement gaps exists between students with disabilities and their non-disabled peers (National Center for Learning Disabilities, 2011). The demand for Science, Technology, Engineering, and Mathematics (STEM) preparation is growing and more students need to be prepared in school for STEM careers (Carlson, 1997). The didactic traditional style of teacher led text book reading has proven unsuccessful for large groups of urban youths and students with disabilities …

Improving The Speech Intelligibility By Cochlear Implant Users, Behnam Azimi

Theses and Dissertations

In this thesis, we focus on improving the intelligibility of speech for cochlear implants (CI) users. As an auditory prosthetic device, CI can restore hearing sensations for most patients with profound hearing loss in both ears in a quiet background. However, CI users still have serious problems in understanding speech in noisy and reverberant environments. Also, bandwidth limitation, missing temporal fine structures, and reduced spectral resolution due to a limited number of electrodes are other factors that raise the difficulty of hearing in noisy conditions for CI users, regardless of the type of noise. To mitigate these difficulties for CI …

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.

How Does Youth Participatory Eco-Justice Action Research (Ypear) Affect The Development Of Environmental Literacy In Urban High School Students?, Joella L. Zocher

Theses and Dissertations

The field of environmental education (EE) has the aim of producing an environmentally literate citizenry that is not only aware of environmental problems, but motivated to work towards their solution (Stapp, 1969). However, much of the U.S. EE curricular focus has been on understanding the biophysical environment with rural populations, with little discussion about the environmental problems created by the dominant Western cultural norms (Kenis, & Mathijs, 2012; Malone, 2006; Prakash,1995). This study suggests in order to truly develop environmentally literate citizens who will work to change the oppressive habits of our dominant culture, people must be willing to enter …

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 …

The Cape Verde Project: Teaching Ecologically Sensitive And Socially Responsive Design, N Jonathan Unaka

Theses and Dissertations

This dissertation chronicles an evolving teaching philosophy. It was an attempt to develop a way to teach ecological design in architecture informed by ethical responses to ecological devastation and social injustice. The world faces numerous social and ecological challenges at global scales. Recent Industrialization has brought about improved life expectancies and human comforts, coinciding with expanded civic rights and personal freedom, and increased wealth and opportunities. Unfortunately, industrialization also caused wide-scale pollution, mass extinctions and anthropogenic global climate change. Industrialization also reduced the earth's capacity to meet human resource demands - demands that are ever increasing due to population growth, …

Effective Elements Of Science Teacher Professional Development, Amy Jean Zientek

Theses and Dissertations

Educational reform efforts to improve students' learning outcomes are often present in teacher professional development opportunities; however, the structure and design of these opportunities vary and often focus on a homogenous student population; that is, White students in suburban schools. Reform efforts in teacher professional development that aim to educate teachers not only about science content and pedagogy, but also about practices that aim to reach a diverse student population is needed. This study examines three, science teacher summer professional development (PD) programs [SUN, SEPA, and CLA], and explores how programs affect teacher learning outcome(s) and any subsequent translation into …

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 …

Self-Regulated Learning (Srl) Microanalysis For Mathematical Problem Solving: A Comparison Of A Srl Event Measure, Questionnaires, And A Teacher Rating Scale, Gregory Lee Callan

Theses and Dissertations

The current dissertation examined the validity of a context-specific assessment tool, called Self-regulated learning (SRL) microanalysis, for measuring self-regulated learning (SRL) during mathematical problem solving. SRL microanalysis is a structured interview that entails assessing respondents' regulatory processes as they engage with a task of interest.

Participants for this dissertation consisted of 83 eighth grade students attending a large urban school district in Midwestern USA. Students were administered the SRL microanalytic interview while completing a set of mathematical word problems to provide a measure of their real-time thoughts and regulatory behaviors. The SRL microanalytic interview targeted the SRL processes of goal-setting, …

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 …