Digital Commons Network^™

Overcoming Barriers: De-Tracking To Teach For Social Justice, Stephanie J. White

Middle Grades Review

How do we overcome tracking in mathematics to actualize the goals of teaching for social justice? Tracking is a racist educational structure that puts limits on the effectiveness of teaching for social justice. This essay presents arguments for de-tracking with explanation of how tracking negatively impacts Black and Latinx students. Readers will learn about schools and districts that have de-tracked students juxtaposed with the barriers that keep most schools from dismantling tracking. This essay calls upon schools and researchers to further investigate locally why schools do not work through these barriers to spark action and eliminate tracking.

Students' Mathematical Reasoning Ability In Solving Post-Covid-19 Pisa Model Math Problems, Linda Linda, Ira Asyura

Jurnal Riset Pendidikan Matematika

This study aims to describe the reasoning abilities of high school students in Pandeglang Regency, Indonesia in solving post-Covid-19 PISA model math problems. The subjects of this study were 80 students of two state senior high schools in Pandeglang Regency, Indonesia. The data collection used a written test consisting of four description questions in the form of PISA model math questions (levels 2, 3, 4, and 5), and were through interviews and documentation. The data analysis followed the steps of data reduction, data presentation, and conclusion drawing. The results show that the reasoning abilities of Pandeglang Regency high school students …

Explaining Differences In One Teacher’S Instruction Across Multiple Tracked Fifth-Grade Classes, Corey Webel, Kimberly A. Conner, Christina Sheffel

Faculty Publications

In this article, we describe the case of “Keri,” a fifth-grade teacher who had completed an Elementary Mathematics Specialist (EMS) certification program. Drawn from a larger study investigating the knowledge, beliefs, and practices of EMSs, Keri's case was unique in that she was teaching mathematics to four classes in a departmentalized structure, where students were placed into different classes according to perceived mathematics ability. Observations from the larger study revealed that Keri's instructional practices did not align with her reported beliefs and knowledge. To explore this deviation, we conducted a case study where we observed Keri's instruction across multiple classes …

A Brief Treatise On Bayesian Inverse Regression., Debashis Chatterjee Dr.

Doctoral Theses

Inverse problems, where in a broad sense the task is to learn from the noisy response about some unknown function, usually represented as the argument of some known functional form, has received wide attention in the general scientific disciplines. However, apart from the class of traditional inverse problems, there exists another class of inverse problems, which qualify as more authentic class of inverse problems, but unfortunately did not receive as much attention.In a nutshell, the other class of inverse problems can be described as the problem of predicting the covariates corresponding to given responses and the rest of the data. …

Secret Sharing And Its Variants, Matroids,Combinatorics., Shion Samadder Chaudhury Dr.

Doctoral Theses

The main focus of this thesis is secret sharing. Secret Sharing is a very basic and fundamental cryptographic primitive. It is a method to share a secret by a dealer among different parties in such a way that only certain predetermined subsets of parties can together reconstruct the secret while some of the remaining subsets of parties can have no information about the secret. Secret sharing was introduced independently by Shamir [139] and Blakely [20]. What they introduced is called a threshold secret sharing scheme. In such a secret sharing scheme the subsets of parties that can reconstruct a secret …

Linear Inverse Problems And Neural Networks, Jasjeet Dhaliwal

Master's Theses

We investigate two ideas in this thesis. First, we analyze the results of adaptingrecovery algorithms from linear inverse problems to defend neural networks against adversarial attacks. Second, we analyze the results of substituting sparsity priors with neural network priors in linear inverse problems. For the former, we are able to extend the framework introduced in [1] to defend neural networks against ℓ0, ℓ2,and ℓ∞ norm attacks, and for the latter, we find that our method yields an improvement over reconstruction results of [2].

Blue Red Hackenbush Spiders, Ravi Cho

Master's Theses

One of the goals of Combinatorial Game Theory is to find provable winning strategiesfor certain games. In this paper, we give winning strategies for certain spider positions played using the rules of Blue Red Hackenbush and a variant. Blue Red Hackenbush and its variants are played on a graph of a bLue and Red edges that are connected to a vertex called the ground. We will represent the ground as a horizontal black line. In this paper, we study spider graphs played under two different variants: Blue Red Hackenbush and Reverse Blue Red Hackenbush. Both variants are played by two …

Puzzling Failure In Life: A User's Manual/La Vie Mode D'Emploi, William Lambert

Fall Student Research Symposium 2021

From its founding by the poet Raymond Queneau and writer François Le Lionnais in 1960, the French OuLiPo sought to create new literary structures through the introduction of mathematics into the writing process. Among the works generated through the OuLiPian process is La vie mode d’emploi by Georges Perec, a novel of considerable depth describing the lives of residents in an apartment in Paris and weaving throughout numerous themes and leitmotifs. In his preface to the novel, Perec implicitly invites the reader to approach its elements just as they would a puzzle, fitting them together in a ludic search for …

Error Propagation And Algorithmic Design Of Contour Integral Eigensolvers With Applications To Fiber Optics, Benjamin Quanah Parker

Dissertations and Theses

In this work, the finite element method and the FEAST eigensolver are used to explore applications in fiber optics. The present interest is in computing eigenfunctions u and propagation constants β satisfing [sic] the Helmholtz equation Δu + k²n²u = β²u. Here, k is the freespace wavenumber and n is a spatially varying coefficient function representing the refractive index of the underlying medium. Such a problem arises when attempting to compute confinement losses in optical fibers that guide laser light. In practice, this requires the computation of functions u referred to as …

Beating The Odds: High-Growth Schools Based On The Act Aspire Examinations, Serving Low-Income Communities, Charlene A. Reid, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights high-growth schools across Arkansas based on the ACT Aspire examinations in Math and English Language Arts (ELA) for the 2020-2021 academic year. For these awards, we consider schools where at least 66% of the student body is eligible for free or reduced-price lunch (FRL).

High-poverty schools are ranked by school level (Elementary, Middle, or High) based on Overall Growth (Math and ELA combined), as well as for growth in each content area independently. High-poverty schools are also ranked within each region of the state. Tables include the region in which the school is located, the number of …

Numerical Cognition And Autism Spectrum Traits In Adults, Benjamin Covington

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Evidence suggests that individuals with high-functioning autism spectrum disorder (ASD) may be particularly inclined toward math proficiency, especially in adulthood. There is also evidence, however, that many of those with an ASD struggle in math as children compared to their typically-developing peers. These ostensibly inconsistent findings may indicate that individuals with an ASD struggle with number sense, a precursor to formal math, rather than with formal math per se. This account is compatible with evidence of a specific form of neural dysregulation, excitatory/inhibitory imbalance, in ASD that results in reduced signal-to-noise ratios (SNR) for processes that occur in downstream …

Examining Opportunities For Higher-Order Thinking In Secondary And Middle-Level Proficiency-Based Mathematics Classrooms, Quinton Donahue

Electronic Theses and Dissertations

In 2011, the state of Maine introduced a statute that required all diplomas to be awarded on the basis of proficiency by 2017. During this period of time, school districts moved to incorporate Proficiency-based Education (PBE) systems of instruction and learning. This prompted educators to bring clarity to standards, assessment, and grading practices. In many schools, they also began to focus on the idea that mastery drives movement. Districts were encouraged to integrate higher-order thinking opportunities for students when making these changes to their learning system. Despite this guidance, it is not clear as to the extent that higher-order thinking …

Properties Of Curriculum-Based Measurement For Mathematics : An Investigation Of The Average Growth, Variability, And Precision Of Three Forms, Arianna Doss

Legacy Theses & Dissertations (2009 - 2024)

CBM for mathematics assesses growth in accuracy and fluency of basic math skills using content from a student’s curriculum. CBM for mathematics can include single-skill measures (SSM), skill-based measures (SBM), and general-outcome measures (GOM). Past research on growth rates in CBM for mathematics has focused on GOMs and has relied on estimations of weekly growth rates, but more information on expected growth rates and their precision for these measures is needed for practice. The current study addresses this gap in the literature by examining weekly growth rates and their precision for one SSM containing multiplication problems, one SBM containing addition …

Factors That Contribute To Motivation And Student Achievement As Adolescents Transition From Elementary To Middle School Or Junior High In One Urban District In The Rio Grande Valley, Lizette Villarreal Longoria

Theses and Dissertations

This study will examine factors that contribute to the decline in achievement scores in reading and mathematics when students transition from elementary to their first year in middle school or junior high school. It will test the hypothesis that motivation is not a function of mentors, academic support, teams, parental involvement, transition experience, math perception, and reading perception for students transitioning from elementary to middle school or junior high school. In this quantitative research study, data will be collected using a multiple linear regression analysis to examine the factors that contribute to motivation and the achievement score decline in reading …

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 …

High-Growth High Schools In Arkansas Based On Performance On The Act Aspire Examinations, Charlene A. Reid, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights high schools across the state whose students demonstrated high growth on the Arkansas ACT Aspire exams. The ACT Aspire was administered to students in grades 3 through 10 in April 2021 in Math and ELA courses which include English, Writing, and Reading.

Each table in this section presents the Top 20 schools for the noted subject area and school level. In addition, these tables include the region in which the schools are located, the grades served at the school, the weighted achievement score, and the content growth score in that particular subject.

The level of the schools, …

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.

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].

High-Growth Middle Schools In Arkansas Based On Performance On The Act Aspire Examinations, Charlene A. Reid, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights middle schools across the state whose students demonstrated high growth on the Arkansas ACT Aspire exams. The ACT Aspire was administered to students in grades 3 through 10 in April 2021 in Math and ELA courses which include English, Writing, and Reading.

Each table in this section presents the Top 20 schools for the noted subject area and school level. In addition, these tables include the region in which the schools are located, the grades served at the school, the weighted achievement score, and the content growth score in that particular subject.

The level of the schools, …

High-Growth Elementary Schools In Arkansas Based On Performance On The Act Aspire Examinations, Charlene A. Reid, Sarah C. Mckenzie

Arkansas Education Reports

This section highlights elementary schools across the state whose students demonstrated high growth on the Arkansas ACT Aspire exams. The ACT Aspire was administered to students in grades 3 through 10 in April 2021 in Math and ELA courses which include English, Writing, and Reading.

Each table in this section presents the Top 20 schools for the noted subject area and school level. In addition, these tables include the region in which the schools are located, the grades served at the school, the weighted achievement score, and the content growth score in that particular subject.

The level of the schools, …

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 …

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 …

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 …

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 …

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

Georgia Journal of College 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 …

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.