Science and Mathematics Education Commons^™

Propuesta De Un Modelo De Enseñanza En Las Matemáticas Enfocado En La Solución De Problemas En El Nivel Secundario En Puerto Rico, Carlos J. Colon Rivera

Theses and Dissertations

El propósito del estudio fue proponer un modelo educativo enfocado en la solución de problemas matemáticos en el nivel secundario, y se realizó la revisión sistemática para evaluarlo. El marco teórico incluyó teorías heurísticas y modelos educativos. La metodología de seis fases que se empleó en este estudio, incluyendo la formulación de preguntas investigativas, búsqueda de literatura, selección de investigaciones, levantamiento de información, análisis y resumen de resultados y exposición y discusión de estos. Se siguieron guías para revisiones sistemáticas y criterios de inclusión y exclusión para evaluar la efectividad de modelos didácticos en la disciplina de matemáticas con énfasis …

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 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 …

Developing Conceptual Understanding And Procedural Fluency In Algebra For High School Students With Intellectual Disability, Andrew J. Wojcik

Theses and Dissertations

Teaching students with Intellectual Disability (ID) is a relatively new endeavor. Beginning in 2001 with the passage of the No Child Left Behind Act, the general education curriculum integrated algebra across the K-12 curriculum (Kendall, 2011; National Governors Association Center for Best Practices & Council of Chief State School Officers, 2010), and expansion of the curriculum included five intertwined skills (productive disposition, procedural fluency, strategic competence, adaptive reasoning, and conceptual understanding) (Kilpatrick, Swafford, & Findell, 2001). Researchers are just beginning to explore the potential of students with ID with algebra (Browder, Spooner, Ahlgrim-Delzell, Harris & Wakeman, 2008; Creech-Galloway, Collins, Knight, …

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.

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 …

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 …

Examining Middle School Students' Statistical Thinking While Working In A Technological Environment, Melissa Arnold Scranton

Theses and Dissertations

Examining Middle School Students' Statistical Thinking

While Working in a Technological Environment

Melissa Arnold Scranton

The purpose of this study was to gain a better understanding of how students think in a technological environment. This was accomplished by exploring the differences in the thinking of students while they worked in a technological environment and comparing this to their work in a paper and pencil environment. The software program TinkerPlots: Dynamic Data Exploration (Konold & Miller, 2005), a construction tool that middle school students use for data analysis was the technological environment. In both environments, types of critical, creative, and statistical …

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 …