Digital Commons Network^™

The Impact Of A K-8 Stem Program On Grades And Student Choice Of Stem And Advanced Mathematics And Science Coursework In High School, Astrid Rodrigues

Dissertations

The demands of today’s workforce call for schools to prepare their students to have problem-solving skills and be critical thinkers and collaborative colleagues. Science, Technology, Engineering, and Mathematics (STEM) learning has been known to cultivate, excite, and promote critical thinking and problem-solving skills in students from an early age.

This study explored the high school course selection of students who had participated in a compulsory Kindergarten to 8^th grade (K-8) STEM program, called Project Lead the Way (PLTW), while in middle school. Specifically, the study compared the number of STEM and advanced mathematics and science courses that students who …

Covid And Curriculum: Elementary Teachers Report On The Challenges Of Teaching And Learning Mathematics Remotely, Kristin Giorgio-Doherty, Mona Baniahmadi, Jill Newton, Amy M. Olson, Kristen Ferguson, Kaitlyn Sammons, Marcy M. Wood, Corey Drake

Journal of Multicultural Affairs

This article reports on findings from a survey administered to 524 elementary teachers across 46 states that asked about their experiences with mathematics teaching, learning, and curriculum use before and during the COVID-19 pandemic. The purpose of this article is to report on the challenges teachers experienced with mathematics teaching, learning, and curriculum use during the pandemic and to explore educational inequities faced by students of families with lower income backgrounds. In particular, we discuss differences across high- and low-income schools regarding teachers’ perceived preparedness for online teaching, teachers’ use and decisions about mathematics curriculum, and their students’ remote resources …

Integrating Mathematics, Science, And Literacy Into A Culturally Responsive Stem After-School Program, Shelli L. Casler-Failing, Alma D. Stevenson, Beverly A. King Miller

Current Issues in Middle Level Education

This manuscript shares the implementation of an after-school literacy in STEM (science, technology, engineering, and mathematics) program designed for middle grade students to increase their interest in science and mathematics learning. This program was conducted at our local Boys and Girls Club facilities where students learned about four science topics (renewable energy, water cycle, Newton’s laws, and natural disasters). Students participated in culturally responsive reading and writing activities incorporating culturally relevant books, journal writing, hands-on projects, and a culminating science fair presentation on a topic of their choice. The authors determined that using literature, particularly culturally responsive picture books and …

Under Pressure: A Case Study Of The Effects Of External Pressure On Mlb Players Using Twitter Sentiment Analysis, Jonathan Huntley

Honors Projects in Mathematics

Performance under pressure and psychological momentum are well-documented topics in sports psychology, but most research focuses on “in-game” pressure. This study views pressure more broadly to examine how the external pressure of fans, quantified using the sentiment of tweets mentioning the players, can affect how MLB players perform. Although external pressure is intangible, it can impact a player’s psyche and performance. This investigation focuses on players Chris Sale and David Price. A new process was developed leveraging the Vader package in Python that can generate tweet sentiment to compare to several performance metrics from Baseball Reference. Results proved to be …

Predictors Of Student Academic Success In The Corequisite Model, Damon Andrews, Steven Tolman

Journal of Higher Education & Student Affairs

The purpose of this study was to determine predictors of community college student academic success in corequisite English and mathematics courses. Academic success was defined dichotomously on a pass or fail basis. The population included 1,934 students enrolled in at least one corequisite English and/or mathematics course at a community college between the fall semester of 2015 and summer semester of 2018. Binary logistic regression was used to examine the fol- lowing predictors: a student’s sex, race, age at time of enrollment, Pell Grant recipient status, first-generation college student status, high school grade point average (HSGPA), placement test scores, academic …

International School Elementary Educators' Transition To A Revised Mathematics Curriculum: A Case Study, Christine H. Saba

Doctoral Dissertations and Projects

The purpose of this single instrumental case study was to research how teachers at an organization of international schools transitioned to using a revised mathematics curriculum to understand how to replicate or improve the process for success in the implementation phase in the future. The guiding theories for this research were Schlossberg’s (1981) transition theory, as the aim of the study was to research teachers in a time of transition, and Kolb’s (1984) experiential learning theory, as teachers worked through the cycle of experiencing, reflecting, thinking, and acting. Data was collected through interviews, focus groups, and journaling. The site was …

Teachers’ Perceptions Of Teaching Mathematics Online In Elementary Schools In Al Ain., Kamar Fayez Kamar

Theses

Online learning is an active method of learning in our lives, and it has been implemented in all the schools in the United Arab Emirates (UAE). Many methods such as platforms, online educational websites, and other applications were used by teachers to support online learning, and to be able to assist students to achieve their goals and accomplish what is required from their curriculum. The main objective of this study is to examine teachers’ perceptions toward teaching mathematics using online learning in elementary schools. Data was collected from 90 (n= 90) elementary teachers in Al Ain City, UAE, during the …

The Effects Of Embedded Orientation On Online Developmental Mathematics Students' Performance In Community College: A Causal-Comparative Study, William Randal Swenson

Doctoral Dissertations and Projects

Students in developmental mathematics courses exhibit poor pass rates. This problem is exaggerated for traditionally aged online community college learners, who frequently demonstrate few self-regulatory skills. Self-regulated learners are intrinsically motivated, plan for success, monitor their progress, and reflect on their learning. These learners are significantly more likely to pass and eventually graduate. Self-regulatory skills can be taught through direct instruction and reflection over a protracted learning experience. This form of instruction was attempted using an embedded orientation in online developmental mathematics courses at a community college. Embedded orientations provide consistent training, opportunities for socialization, and increased instructor-to-learner interaction within …

Interrelation Of Mathematics Within The Stem, Duli Pllana

UBT International Conference

Methodically inspecting mathematics in STEM educational programs participates with a percentage of twenty five percent. Interaction of mathematics in science, technology, and engineering is inevitable. Science, technology, and engineering acquire tools of mathematics to observe, describe and predict natural phenomena. Science pays a huge attention to natural phenomena that surrounds us; in addition, mathematics comes up with the structures and logical relationships to its scope. Technology uses mathematics extensively; in general, mathematics is a powerful tool to find any solution in technology. Engineering is based on scientific concepts to sketch, plan, or design a construction. Engineering uses mathematics throughout any …

Science, Technology, Engineering, Mathematics, Mathematical Science, Interaction., Irene A. Pillado, Maria Chona Z. Futalan, Sheena Mae T. Comighud

UBT International Conference

This paper examined the factors contributory to memory retention affecting the academic performance in Mathematics of Grade 7 students of Kalumboyan High School, Bayawan City Division for SY 2019–2020. The study made use of the descriptive-correlational research design. The questionnaire covered five areas: motivational practices and experiences, goal setting and accomplishments, personalized learning, teaching strategies and learning activities, and educational resources and learning devices. The respondents of the study were the 160 Grade 7 students. The study utilized percentage, mean, weighted mean, and Spearman’s rank correlation coefficient. The salient findings revealed that the extent of students’ perception on factors contributory …

Participatory Action Research: Undergraduate Researchers Engaging Secondary Students In Social Justice Mathematics, Isabelle Miller, Alexis Grimes, Camryn Adkison

The Journal of Purdue Undergraduate Research

No abstract provided.

Some Contributions To Free Probability And Random Matrices., Sukrit Chakraborty Dr.

Doctoral Theses

No abstract provided.

Supporting Teaching And Learning Reform In College Mathematics: Finding Value In Communities Of Practice, Kelly Gomez Johnson, Paula M. Jakopovic, Christine Von Renesse

Teacher Education Faculty Publications

Improving college STEM (science, technology, engineering, mathematics) student learning outcomes is an ongoing area of focus in Institutions of Higher Education (IHE). This reform includes challenging, changing, and adapting both teaching practices and the learning environment. Communities of practice (CoPs) can support faculty in making these shifts; however, creating large-scale instructional changes in STEM education requires a more careful look at the existing systems and structures in place. In this paper, we investigate a network of regional CoPs composed mainly of mathematics faculty from IHE focused on teaching with inquiry methods. Understanding what faculty need and value to support their …

Building Number Sense With Subitizing, Lindsey Herlehy

Publications & Research

Dice, fingers, tallies, and ten frames! Proficient mathematicians are problem solvers who work with quantities in flexible ways. Subitizing is a practice that builds number sense and is key to becoming a fluent mathematician at any grade level. Quick and easy games and activities will be shared.

Improving Teaching Mathematics Using Communicative Competence In Primary Education, Jasur Amirddinovich Mardonkulov Researcher

Central Asian Journal of Education

Human society is unthinkable outside of communication. Communication is a necessary condition for the existence of people, without which it is impossible to fully form not only individual mental functions, processes and properties of a person, but also the personality as a whole. The reality and necessity of communication is determined by joint activity: in order to live, people are forced to interact. Always an active person communicates, whose activities intersect with the activities of other people. Communication allows you to organize social activities and enrich it with new connections and relationships between people.

Mathematics Teaching Assistants’ Community-Building Activities During Remote Instruction, T. Royce Olarte, Damaris Hernandez, Hannali Pajela, Sarah A. Roberts

NERA Conference Proceedings 2021

The need to build community in mathematics learning spaces was exacerbated by the COVID-19 pandemic. This study examined the community-building efforts of mathematics TAs during a dynamically uncertain period and how they engaged in pandemic-sensemaking to make sense of and adapt their community-building efforts for remote instruction. We found that TAs engaged in various community-building activities through the synchronous and asynchronous interactions afforded by the design of the course (e.g., during sections, in office hours), and pandemic-sensemaking enabled them to better understand students’ challenges and adapt their efforts to attend to the challenges with building community.

Excursions In Summation, Brock Erwin

Fall Showcase for Research and Creative Inquiry

Using polynomials from series representation of functions to approximate other functions on the closed interval from [-1,1].

Non-Local Approximation Properties, Kira Pierce

Fall Showcase for Research and Creative Inquiry

This project concerns the approximation properties of a given set where X is a scattered sequence and Ï•(x) = 1/x* ln(1 + x^2 ). Similar approximation sets are commonly used in interpolation problems and are especially helpful due to their Fourier representation. For our work, we will work to prove the following theorem.

The Importance Of Math Fact Automaticity, Jessica Olson

School of Education and Leadership Student Capstone Projects

The retention of math facts is a critical step when it comes to solving mathematical equations. The website I designed for my project addresses this topic. It focuses on giving students, teachers and parents the research, tips and resources they need to be successful. Research shows that automaticity with math facts can lessen the academic load of students and also be a predictor of future math success. Using strategies such as interleaving, engaging with manipulatives and learning mnemonic devices has been shown to positively affect one’s recall of basic facts. However, drilling and mindless repetition has a much more negative …

Developing Mathematical Thinking In High Schoolers Through “Curricular Thinking Tasks”, Michaela Weispfennig

School of Education and Leadership Student Capstone Projects

A review of the literature and reflection on personal experience show a need to rethink the way we teach and learn mathematics. A traditional math class relies on direct instruction and emphasizes decontextualized procedures and algorithms. This type of instruction does not work well for the majority of students, nor does it prescribe to the goals of math education in our modern world. We don’t need “human computers'' like we did before the internet. Instead, the primary goal for most high school math students is to develop the mathematical thinking skills needed to tackle new problems. Inspired by Peter Liljedahl’s …

Developing A Deep Understanding Of Multiplication And A Growth Mindset In 5th Grade Students From Marginalized Groups, Rachael Johnson

School of Education and Leadership Student Capstone Projects

Traditionally mathematics has been taught with a focus of rote memorization of basic facts and procedures. Research has found that this often leaves students without the conceptual understanding behind procedures. This can prevent students from making the connections necessary to transfer their knowledge to other situations. It has also become clear that students from marginalized groups often score much lower on high stakes tests than their white counterparts. This project involved creating a multiplication unit that uses number talks, strategies from cognitively guided instruction as well as ideas on culturally relevant teaching. The goal of this project was for students …

Personalized Geometry Instruction: A Mixed Methods Action Research Study Implementing An Adaptive Web-Based Learning Environment To Support High School Students’ Geometry Problemsolving Skills, Catherine D. Jordan

Theses and Dissertations

The purpose of this action research study was to evaluate the implementation of an adaptive web-based learning environment to personalize geometry instruction and practice for high school students at a private school in North Carolina. This study was guided by the following three research questions: (1) How and to what extent does implementing personalized geometry instruction and practice through an adaptive web-based learning environment affect high school students’ knowledge of geometry? (2) How does using personalized geometry instruction and practice through an adaptive web-based learning environment affect students’ motivation to learn geometry as well as their mathematics self-efficacy, anxiety, and …

Some Topics In Leavitt Path Algebras And Their Generalizations., Mohan R. Dr.

Doctoral Theses

The purpose of this section is to motivate the historical development of Leavitt algebras, Leavitt path algebras and their various generalizations and thus provide a context for this thesis. There are two historical threads which resulted in the definition of Leavitt path algebras. The first one is about the realization problem for von Neumann regular rings and the second one is about studying algebraic analogs of graph C ∗ -algebras. In what follows we briefly survey these threads and also introduce important concepts and terminology which will recur throughout.

Scaling Limits Of Some Random Interface Models., Biltu Dan Dr.

Doctoral Theses

In this thesis, we study some probabilistic models of random interfaces. Interfaces between different phases have been topic of considerable interest in statistical physics. These interfaces are described by a family of random variables, indexed by the ddimensional integer lattice, which are considered as a height configuration, namely they indicate the height of the interface above a reference hyperplane. The models are defined in terms of an energy function (Hamiltonian), which defines a Gibbs measure on the set of height configurations. More formally, letÏ• = {Ï•x}x∈Z dbe a collection of real numbers indexed by the d-dimensional integer lattice Z d. …

On The Inertia Conjecture And Its Generalizations., Soumyadip Das Dr.

Doctoral Theses

This thesis concerns problems related to the ramification behaviour of the branched Galois covers of smooth projective connected curves defined over an algebraically closed field of positive characteristic. Our first main problem is the Inertia Conjecture proposed by Abhyankar in 2001. We will show several new evidence for this conjecture. We also formulate a certain generalization of it which is our second problem, and we provide evidence for it. We give a brief overview of these problems in this introduction and reserve the details for Chapter 4.Let k be an algebraically closed field, and U be a smooth connected affine …

Perron Theorem For Delay Differential Equations, William Barker

Theses and Dissertations

This note discusses results furthering the study of bounded solutions of non-homogeneous second-order differential equations with delay. The equation of interest has already been shown to possess unique bounded solutions in accordance to Perron's Theorem. We will determine the negativity of the solutions given a positive forcing term by establishing a uniform bound regarding small time delay.

Expansion Of The Department Of Mathematics At Princeton University And The Founding Of The School Of Mathematics At The Institute For Advanced Study: 1900-1950, Andrew Beman-Cavallaro

Great Plains Graduate Review

From 1900 to 1950 Princeton, New Jersey, hosted two of the most prestigious institutions and provided a location for the expansive mathematical investigations taking place just before, during, and immediately after the Second World War. Princeton University and the Institute for Advanced Study housed, fed, and provided workspaces for an array of Mathematicians uncovering new research methodologies (resulting in the defeat of both the Nazi Party and the Empire of Nippon), the foundation for modern experimental Mathematics, and expansions of Theoretical and Applied Physics.

Validation Of The Mathematics Motivation Questionnaire (Mmq) For Secondary School Students, Logan Fiorella, So Yoon Yoon, Kinnari Atit, Jason R. Power, Grace Panther, Sheryl Sorby, David H. Uttal, Norma Veurink

Michigan Tech Publications, Part 1

Background: Motivation is critical for supporting persistence and achievement in science, technology, engineering, and mathematics (STEM) disciplines. In this study, we focus on the assessment of mathematics motivation among secondary school students. We provide validity and reliability evidence for the Mathematics Motivation Questionnaire (MMQ)—adapted from the Science Motivation Questionnaire designed for college students—using data from 2551 secondary students from seven states across the United States. Results: Exploratory and confirmatory factor analyses confirmed five latent factors of the MMQ indicated by 19 items: intrinsic value, self-regulation, self-efficacy, utility value, and test anxiety. The nonlinear SEM reliability coefficients of the five constructs …

Validation Of The Mathematics Motivation Questionnaire (Mmq) For Secondary School Students, Logan Fiorella, So Yoon Yoon, Kinnari Atit, Jason R. Power, Grace Panther, Sheryl Sorby, David H. Uttal, Norma Veurink

Department of Civil and Environmental Engineering: Faculty Publications

Background: Motivation is critical for supporting persistence and achievement in science, technology, engineering, and mathematics (STEM) disciplines. In this study, we focus on the assessment of mathematics motivation among secondary school students. We provide validity and reliability evidence for the Mathematics Motivation Questionnaire (MMQ)—adapted from the Science Motivation Questionnaire designed for college students—using data from 2551 secondary students from seven states across the United States. Results: Exploratory and confirmatory factor analyses confirmed five latent factors of the MMQ indicated by 19 items: intrinsic value, self-regulation, self-efficacy, utility value, and test anxiety. The nonlinear SEM reliability coefficients of the five constructs …

Commuting Isometries And Invariant Subspaces In Several Variables., Sankar T. R. Dr.

Doctoral Theses

A very general and fundamental problem in the theory of bounded linear operators on Hilbert spaces is to find invariants and representations of commuting families of isometries.In the case of single isometries this question has a complete and explicit answer: If V is an isometry on a Hilbert space â„‹, then there exists a Hilbert space Hu and a unitary operator U on â„‹u such that V on â„‹u and[ S ⊗ IW 0 0 U] ∈ B((l 2 (ℤ+) ⊗ W) ⊕ â„‹u),are unitarily equivalent, whereW = ker V∗ ,is the wandering subspace for V and S is the …