Digital Commons Network^™

Ambientes De Inclusión Para El Desarrollo Del Pensamiento Numérico Con Población Con Síndrome De Down, Luisa Valeria Escobar Buitrago, Ingry Yuliana Torres Garzón, Juan David Firigua Bejarano

Educación

La importancia de tratar sobre una educación inclusiva es hacer que la humanidad obtenga la aceptación hacia la diversidad, donde se encuentre un mundo lleno de posibilidades reconociendo todos los tipos de población entre ella las personas con Síndrome de Down, lo cual consiste en que la educación esté centrado en el respeto y la valoración de la diversidad, haciendo un enfoque general en las necesidades que esta población tiene, desarrollando habilidades para su desenvolvimiento tanto personal como laboral en determinada sociedad, por lo tanto el objetivo principal de este trabajo es desarrollar el pensamiento numérico de los estudiantes de …

Math 57: Applied Differential Equations I, John Mayberry

Pacific Open Texts

This book is designed for the fourth semester, “capstone” course in a calculus sequence with an emphasis on modeling with linear differential equations. Students will learn to translate verbal descriptions of physical problems into differential equation models, solve and visualize solutions to differential equations using MATLAB, calculate and investigate the behavior of analytic solutions to linear differential equations, discuss how solutions to differential equations depend on parameters, and interpret solutions to differential equations in the context of applications.

Compilación De Procesos Investigativos En Educación Matemática, Martha Lidia Barreto Moreno, Yeferson Castellanos Novoa, María Alejandra Mayorga Henao, Diana Marcela Contento Sarmiento, Jesús Antonio Villarraga Palomino, Andrés Alberto Gutiérrez Morales, Juan David Firigua Bejarano, Yineth Marleidy Parra Ubaque, Lady Johanna Silva Marín

Educación

En el libro Compilación de procesos de investigación en educación matemática, consta de cuatro capítulos donde se presentan los procesos desarrollados en el marco de proyectos de investigación a nivel de pregrado y postgrado en Educación.

El primer capítulo consiste en la sistematización de la acción docente desarrollada en el marco de los Talleres Itinerantes de Alfabetización Computacional en la provincia de Sumapaz, propuesta de innovación para implementar procesos didácticos que contribuyan al desarrollo del pensamiento matemático computacional en educación básica primaria rural.

El segundo capítulo contiene el proceso investigativo que dio continuidad al trabajo realizado en la Fase1, sobre …

College Algebra Slide Decks, Bader Abukhodair, Michelle Zeng

All Open Educational Resources

This collection of slide decks is designed to be used in concert with the following Open Eduational Resources:

- OpenStax College Algebra 2e Open Texbook

- Department of Mathematics Video Playlist

- Homework questions from myOpenMath

Concepts include are: A study of equations, graphs, and inequalities for linear, quadratic, polynomial, rational, logarithmic, exponential, and absolute value functions. Transformations on graphs, complex numbers, circles, systems of inequalities, and systems of equations including matrices.

Introduction To Mathematical Analysis I - 3rd Edition, Beatriz Lafferriere, Gerardo Lafferriere, Mau Nam Nguyen

PDXOpen: Open Educational Resources

Video lectures explaining problem solving strategies are available

Our goal in this set of lecture notes is to provide students with a strong foundation in mathematical analysis. Such a foundation is crucial for future study of deeper topics of analysis. Students should be familiar with most of the concepts presented here after completing the calculus sequence. However, these concepts will be reinforced through rigorous proofs.

The lecture notes contain topics of real analysis usually covered in a 10-week course: the completeness axiom, sequences and convergence, continuity, and differentiation. In addition, the notes include many carefully selected exercises of various levels …

The Art Of Analysis, Christopher Hammond

Open Educational Resources

Christopher Hammond, Professor of Mathematics at Connecticut College, has written an introductory textbook in real analysis. This resource is freely available for anyone to use, either individually or in a classroom setting.

The primary innovation of this text is a new perspective on teaching the theory of integration. Most introductory analysis courses focus initially on the Riemann integral, with other definitions discussed later (if at all). The paradigm being proposed is that the Riemann integral and the “generalized Riemann integral” should be considered simultaneously, not separately – in the same manner as uniform continuity and continuity. Riemann integrability is simply …

Mathematics For Biomedical Physics, Jogindra M. Wadehra

Open Textbooks

Mathematics for Biomedical Physics is an open access peer-reviewed textbook geared to introduce several mathematical topics at the rudimentary level so that students can appreciate the applications of mathematics to the interdisciplinary field of biomedical physics. Most of the topics are presented in their simplest but rigorous form so that students can easily understand the advanced form of these topics when the need arises. Several end-of-chapter problems and chapter examples relate the applications of mathematics to biomedical physics. After mastering the topics of this book, students would be ready to embark on quantitative thinking in various topics of biology and …

Propuestas Y Resultados De Investigación Transmoderna, Translocal Y Digital Desde Jóvenes Semilleristas, Xiomara Gonzalez Gaitan

Institucional

En el presente libro intitulado Propuestas y resultados de investigación transmoderna, translocal y digital desde jóvenes semilleristas, se encuentran compilados las propuestas, avances y resultados de los proyectos en curso de los Semilleros de Investigación de la Universidad de Cundinamarca, Colombia, que se presentaron en el “II encuentro de semilleros de investigación: ciencia, tecnología e innovación en la era digital” en su versión 2020. Hacemos la labor de publicar estos proyectos con la intensión de difundir el conocimiento y como muestra del esfuerzo y alcance de la labor investigativa de los semilleristas de la Universidad de Cundinamarca. Esperamos que lo …

Introduction To Classical Field Theory, Charles G. Torre

All Complete Monographs

This is an introduction to classical field theory. Topics treated include: Klein-Gordon field, electromagnetic field, scalar electrodynamics, Dirac field, Yang-Mills field, gravitational field, Noether theorems relating symmetries and conservation laws, spontaneous symmetry breaking, Lagrangian and Hamiltonian formalisms.

Reframing The Achievement Gap In Mathematics Education, Madeline Pavolovich '22

Posters

Much of math education research focuses on a so-called “achievement gap” measured by test scores and similar quantitative measures of “success.” By framing issues of equity in this way, methods to remedy the gap often require subordinated groups to become more like the “higher achieving” group. In other areas of study, we have been quicker to incorporate sociopolitical lenses into teaching and learning with an emphasis on identity and power. Such a sociopolitical turn could help us rethink what it means for math education to be truly equitable.

Bail Reform, Matthew Shang '22

Posters

The Public Safety Assessment (PSA) to assess the likelihood of pretrial risk. Then, the information is used to decide the conditions of release, including components like bail. The factors used are related only to age and criminal history. In short, the algorithm helps judges make more informed decisions.

Gender Discrimination In Ai, Nicole Papert '22

Posters

There are several studies revealing that AI tools used in job search applications and sites will promote different opportunities depending on the gender of the user. Specifically, men are typically shown more competitive job postings than women, given that the users have similar skills and qualifications. In this poster, I will closely examine why algorithms utilized for the job search process may present differently between men and women.

Tips For Success In Math Courses, Joshua Horowitz '22

Posters

Five steps in the development process for succeeding in mathematics.

Belonging In Math And How It’S Affected By Groupwork, Kara Mathes '22

Posters

Interactions in groups for class assignments are an important part of a student’s sense of belonging in mathematics and other academic disciplines. This sense of belonging has an impact on the student’s sense of self as well as their academic performance.

Cross-Sectoral Climate Change Modeling, Jeremy Gordon '22

Posters

Although climate data originates from various integrated sectors, it continues to be evaluated in isolation. By using cross-sectoral modeling, climate change modeling can more effectively represent data, and the possible consequences of misjudging future models.

Ranked Choice Voting: Who’S The Real Winner?, Brendan Magill '23

Posters

Ranked choice voting is a voting system in which voters rank candidates in order or preference. The winning candidate is determined by eliminating candidates and reassigning their votes until one has a majority. It provides solutions to some of the fundamental issues with traditional voting. But is it more fair? Should it be instituted in American democratic elections?

Racial Bias In Health Care Machine Learning Algorithms, Esther Akinpelu '22

Posters

Machine learning algorithms in healthcare are racially biased, especially when diagnosing patients and choosing candidates for care management programs.

Is U.S. News College Ranking A Weapon Of Math Destruction?, Zhipeng Kui '22

Posters

This poster presents Cathy O’Neil’s arguments from her book Weapons of Math Destruction and connects them with Columbia’s ongoing ranking scandal to show why we should view U.S. News college ranking as a WMD.

The Impossible Theorem Of Fairness, Man Nguyen '22

Posters

With the growth of machine learning, there has been an increase of machine biases that can cause wrongful discrimination. In the case of implementing “fairness,” several conceptions of bias were created to target a fair system. However, statisticians have found that these conceptions contradict one another. Thus, we run into an impossible conundrum of fairness in machine learning. In cases that high risk, we want to investigate the best fairness measures if one is possible. Moreover, we would like to determine when these fairness measures fail or what conditions must be met for them to succeed.

Accessible And Intuitive Mathematical Notation, Anthony Christiana '22

Posters

For math learners with disabilities, engagement with traditional mathematical notation can be difficult or impossible. Here, we explore two examples of the ways that notation can fail disabled students. We also note how accommodating for these disabilities allows us to imagine better ways of serving all students through notational practices.

Bias In Mortgage Approval Algorithms, Carter Steckbeck '22

Posters

In recent years, financial institutions are using machine learning algorithms for the mortgage approval process. Utilizing hundreds of complex variables, they decide whether an applicant gets approved. Recent studies have shown that people of color are disproportionately denied at higher rates for mortgages compared to White individuals.

The Effect Of Social Media On Polarization, John Burt '22

Posters

This poster attempts to look at the impact of social media on political polarization in the United States. Since the 2016 elections, there has been a shift in the political parties and their constituencies away from the center. Some have argued that a large part of this is due to the algorithms that social media use.

Experiential Learning In Mathematics, Lara Speer '23

Posters

The United States lags behind many other developed countries in math skills. The root of the problem lies not in mathematics itself, but in the way the United States approaches teaching math through memorization. One alternative pedagogical method to memorization is experiential learning, which is the process during which students acquire new knowledge through experience and is meant to reflect the way people learn in the real world.

Ethical Use Of Machine Learning In Higher Education Admission, Siqi Fang '23

Posters

A machine learning model called GRADE was used for PhD admission at UT Austin from the year 2013-2020. The model was trained a small set of past admission decisions which are already bias and was used immediately without further tuning or human validation. The model will score all applicants and the decision is made without further human assessment for applicants with the highest and lowest score. Only 362/588 full human reviews are conducted with a few people admitted and the majority of the rest being rejected by algorithm.

How Does Fico Score Discriminates People?, Stephana Lim '22

Posters

The FICO Score, the standard credit score, is used as a weapon of mathematical destruction as its algorithm creates a systematic discrimination against a disadvantaged racial group.

Proceedings State Of Stem 2022: How Does Virtual Hands-On Stem Work?, Cristo Leon, James Lipuma, Michele Rittenhouse, Louis Wells, Edgar Meritano, Ricardo Morales-Carbajal, Miguel Angel Bastarrachea Magnani, Ten80 Education, Llc, New Jersey School Boards Association, International Stem League, Inc (Insl), Red De Investigadores De Juegos De Rol

STEM for Success Resources

Proceedings of the "State of STEM 2022: How does virtual hands-on STEM work?"

An Introduction To Number Theory, J. J. P. Veerman

PDXOpen: Open Educational Resources

These notes are intended for a graduate course in Number Theory. No prior familiarity with number theory is assumed.

Chapters 1-14 represent almost 3 trimesters of the course. Eventually we intend to publish a full year (3 trimesters) course on number theory. The current content represents courses the author taught in the academic years 2020-2021 and 2021-2022.

It is a work in progress. If you have questions or comments, please contact Peter Veerman (veerman@pdx.edu).

Mathematical Reasoning: Writing And Proof (Pretext Edition), Ted Sundstrom

Open Textbooks

Mathematical Reasoning: Writing and Proof is a text for the first college mathematics course that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics.

Mathematical Reasoning: Writing and Proof (PreTeXt Edition) was developed as part of the Accelerating Open Educational Resources Initiative at Grand Valley State University, with support from the University Libraries and the President's Innovation Fund.

Mathematical Reasoning: Writing and Proof was written by Ted Sundstrom, Professor Emeritus of Mathematics at Grand Valley State University. This textbook was converted into PreTeXt by Ian Curtis, Editorial Assistant for the …

Introducing R, Lawrence Leemis

Arts & Sciences Book Chapters

R is an open source programming language and interactive programming environment that has become the software tool of choice in data analytics. Learning Base R provides an introduction to the language for those with and without prior programming experience. It introduces the key topics that you will need to begin analyzing data and programming in R. The focus here is on the R language rather than a particular application. Within the text, there are 200 exercises to assess your R skills.

The Wright Message, 2021-2022, University Of Northern Iowa. Department Of Mathematics.

The Wright Message

Contents

From the Dean --- 1
Around Wright Hall --- 3
In Memoriam: Diane Lee Baum --- 4
Faculty Spotlight --- 4
Retiring Faculty --- 5
Statistical Consulting Center staff changes --- 7
Alumni Spotlight --- 8
News from the CTLM --- 10
Student Spotlights --- 11
Donor Spotlight --- 18
First Woman to Win International Meshing Award --- 19
Contribution Recognition --- 20
Department Funds --- 22
Contribution Forms --- 23