Digital Commons Network^™

College Algebra Through Problem Solving (2021 Edition), Danielle Cifone, Karan Puri, Debra Maslanko, Ewa Stelmach

Open Educational Resources

This is a self-contained, open educational resource (OER) textbook for college algebra. Students can use the book to learn concepts and work in the book themselves. Instructors can adapt the book for use in any college algebra course to facilitate active learning through problem solving. Additional resources such as classroom assessments and online/printable homework is available from the authors.

Humanizing My Teaching, Ricela Feliciano-Semidei

Faculty Books & Book Chapters

Chapter 5 of the book entitled "Practices and Policies: Advocating for Students of Color in Mathematics".

For The Love Of Mathematical Research: A Conversation With Undergraduate Research Students, Mike Janssen

Faculty Work Comprehensive List

"One of my passions as a professor is creating opportunities for students to ask questions about mathematics."

Posting about students' perspectives on mathematics research from In All Things - an online journal for critical reflection on faith, culture, art, and every ordinary-yet-graced square inch of God’s creation.

https://inallthings.org/for-the-love-of-mathematical-research-a-conversation-with-undergraduate-research-students/

Pre-Service High School Mathematics Teachers’ Perceptions About Mathematics And Mathematics Teachers: A Metaphorical Approach, Yasemin Katranci, Busra Kiral, Diler Kedikli

University of South Florida (USF) M3 Publishing

This study aimed to examine the perceptions of pre-service high school mathematics teachers about the concepts of mathematics and mathematics teachers. Metaphors were used to reveal these perceptions. The study is descriptive. The study group was determined according to the convenient sampling method. In this scope, 46 pre-service high school mathematics teachers participated in the study. The data were obtained through the completion of the “Mathematics is like ..... because .....” and “Mathematics teacher is like ..... because .....” statements by the participants. In the analysis and interpretation of the data; i) naming, ii) elimination, iii) category, and iv) validity-reliability …

Game Based Intervention To Develop Early Childhood Mathematical Understanding And Decrease Gaps Related To Socioeconomic Status, Lydia Flynn

Boise State University Theses and Dissertations

Early mathematical understanding is important for later success in mathematics. Game based interventions can be a successful means by which to help young students to improve their mathematical understandings. The purpose of this study is to examine whether a math game that was to be played at home improved the mathematical understanding of kindergarten students. Kindergarten students, from rural Idaho, were assigned to a group that played math games (n = 15) or a control group that did not (n = 13). The intervention group was given a simple math game and instructed to play 20 times in a …

Partial Representations For Ternary Matroids, Ebony Perez

Electronic Theses, Projects, and Dissertations

In combinatorics, a matroid is a discrete object that generalizes various notions of dependence that arise throughout mathematics. All of the information about some matroids can be encoded (or represented) by a matrix whose entries come from a particular field, while other matroids cannot be represented in this way. However, for any matroid, there exists a matrix, called a partial representation of the matroid, that encodes some of the information about the matroid. In fact, a given matroid usually has many different partial representations, each providing different pieces of information about the matroid. In this thesis, we investigate when a …

Examining The Use Of Culturally Relevant Pedagogy In Undergraduate Mathematics Learning Modules With Students Of Color, Thomas A. Mgonja

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

In mathematics, Students of Color have persistently performed lower than their White counterparts, thus creating a need to explore instructional methods that could reduce performance disparities. This study investigated culturally relevant pedagogy (CRP) to understand how it might support students’ mathematics learning in undergraduate mathematics learning modules. The overarching research question focused on how CRP in undergraduate mathematics Learning Modules supported students’ mathematics learning. There were also two main questions that focused on participants’ evaluations of the CRP modules and how those evaluations were reported based on subgroups (Students of Color and White). The researcher employed a sequential explanatory mixed-methods …

Efficient Estimation Of Integrated Volatility Functionals Under General Volatility Dynamics, Jia Li, Yunxiao Liu

Research Collection School Of Economics

We provide an asymptotic theory for the estimation of a general class of smooth nonlinear integrated volatility functionals. Such functionals are broadly useful for measuring financial risk and estimating economic models using high-frequency transaction data. The theory is valid under general volatility dynamics, which accommodates both Itô semimartingales (e.g., jump-diffusions) and long-memory processes (e.g., fractional Brownian motions). We establish the semiparametric efficiency bound under a nonstandard nonergodic setting with infill asymptotics, and show that the proposed estimator attains this efficiency bound. These results on efficient estimation are further extended to a setting with irregularly sampled data.

Contributions To The Teaching And Learning Of Fluid Mechanics, Ashwin Vaidya

Department of Mathematics Faculty Scholarship and Creative Works

This issue showcases a compilation of papers on fluid mechanics (FM) education, covering different sub topics of the subject. The success of the first volume [1] prompted us to consider another follow-up special issue on the topic, which has also been very successful in garnering an impressive variety of submissions.

As a classical branch of science, the beauty and complexity of fluid dynamics cannot be overemphasized. This is an extremely well-studied subject which has now become a significant component of several major scientific disciplines ranging from aerospace engineering, astrophysics, atmospheric science (including climate modeling), biological and biomedical science …

The Role Of Self-Efficacy And Academic Mindset On Middle School Math Achievement For At Promise Youth: An Explanatory Study, Michael Lockwood Mansfield

Dissertations

California’s accountability system has blended its focus on noncognitive factors of achievement as well as evidence of academic growth. School districts are becoming increasingly interested in developing noncognitive factors in their students to help increase student achievement. With the wide variety of mandates and responsibilities schools are shouldering, it will be important to continue developing methods to increase all school accountability metrics in relation with each other. This research aims to explore the relationship between noncognitive factors and mathematics achievement as measured by the Northwest Evaluation Association’s Measure of Academic Progress assessment (MAP). This study surveyed 8th graders throughout a …

Fantasy At The Service Of Mathematics, Clara Ziskin, Esther Williams, Alla Shmukler

Journal of Humanistic Mathematics

This article aims to introduce the reader to a book published in 2016 under the title “Amazing Tales from the Magic Wood and Famous Problems of Mathematics” by Elli Shor and Clara Ziskin. The book offers an original method of presenting mathematical facts and history through a fantasy narrative. The book’s two authors, Clara Ziskin and Alla Shmukler (Elli Shor), together with consultant psychologist Esther Williams, share here several excerpts taken from the first part of the book as well as related illustrations and mathematical riddles, so that the reader can form an informed impression of the book, its structure, …

Crocheting Mathematics Through Covid-19, Beyza C. Aslan

Journal of Humanistic Mathematics

As it is often said, something good often comes out of most bad situations. The time I spent during COVID-19, at home and isolated with my two children, brought out one secret passion in me: crocheting. Not only did it help me pass the time in a sane and productive way, but also it gave me a new goal in life. It connected my math side with my artistic side. It gave me a new perspective to look at math, and helped me help others see math in a positive way.

An Interdisciplinary Rendezvous Between Mathematics And Literature: Reflections On Beauty As A Perspective In Comparative Disciplinary Didactics And A Thematic Approach To Interdisciplinary Work In Upper Secondary School, Uffe Thomas Jankvist, Helle Rørbech, Jesper Bremholm

Journal of Humanistic Mathematics

In this paper we propose a thematic focus on aesthetics in the context of an interdisciplinary collaboration between mathematics and literature (Language Arts) as a way to further students’ reflections on and deeper understanding of what characterizes the two subjects. Furthermore, we argue that approaching aesthetics through the perspective of literacy can potentially strengthen students’ understanding of ways of thinking particular to specific (academic) disciplines; ways of thinking that are otherwise often hidden when teaching focuses on more pragmatic aspects. G. H. Hardy’s A Mathematician’s Apology from 1940 serves as the recurring illustrative example in our discussions of the pedagogical …

Mathematics And Magic Realism: A Study Of "The Raven Legend", Veselin Jungic

Journal of Humanistic Mathematics

This article demonstrates that “The Raven Legend”, a Haida myth transcribed by Franz Boas in 1888, is full of (ethno)mathematical concepts that Haida society used to make sense of the natural, real world. Calculus can be used to model several segments of the story since the narrative relied heavily on ideas that a mathematician would identify as the concepts of infinity and mathematical limits.

Essays In Behavioral Social Choice Theory., Sarvesh Bandhu Dr.

Doctoral Theses

This thesis comprises four essays on social choice theory. The first three essays/chapters consider models where voters follow “non-standard” rules for decision making. The last chapter considers the binary social choice model and analyzes the consequences of a new axiom. The first chapter introduces a new axiom for manipulability when voters incur a cost if they misreport their true preference ordering. The second chapter considers the random voting model with strategic voters where standard stochastic dominance strategy-proofness is replaced by strategy-proofness under two lexicographic criteria. The third chapter also considers the random voting model but from a non-strategic perspective. It …

Influence Of Gender On Hours Of Supervised Library Use On Students’ Performance In Senior Secondary Schools In Imo State., Kelechi Ibegbulem

Library Philosophy and Practice (e-journal)

In this study, the researcher examined the influence of gender on hours of supervised library use on students’ performance in senior secondary schools in Imo State. Four objectives, four research questions were posed and four hypotheses formulated in the study. The study was carried out using quasi-experimental design which involved pre-test, treatment and post-test of non-equivalent group method. The population of the study was 94,963 Senior Secondary School Students (SS1-SS3) from 275 public secondary schools in Imo State. The sample size for the study comprised of 127 senior secondary II students drawn from three senior public secondary schools in Imo …

#Blackgirlmathmagic: A Mixed Methods Study Examining African American Girls In Standardized Mathematicstesting, Rakeema Thomas Toussaint

LSU Doctoral Dissertations

Black women have been making successful strides in mathematics for decades; however, they continue to be underrepresented in mathematics and other STEM fields. According to Young et al. (2017), Black girls and women perform lower in mathematics than all other racial gender groups except for Black males. Considering the stakes for Black girls and women in mathematics, this study sought to address this group's challenges early in their secondary education experiences, focusing on standardized testing.

The purpose of this explanatory-sequential mixed-methods study was to determine how different mathematics item types impacted the performance of African American girls, especially multiple-select multiple-choice …

Fall 2021 | New Data Science Course Gives Students Skills To Explore Real World Issues, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.

Dataset For Reporting Quality In Math Meta-Analyses For Students With Or At Risk Of Disabilities, Gena Nelson, Soyoung Park, Tasia Brafford, Nicole Heller, Angela Crawford

Early and Special Education Datasets

The purpose of the systematic review was to evaluate reporting quality in meta-analyses focused on mathematics interventions for students with or at risk of disabilities. To identify meta-analyses for inclusion, we considered peer-reviewed literature published between 2000 and 2020; we searched five education-focused electronic databases, scanned the table of contents of six special education journals, reviewed the curriculum vitae of researchers who frequently publish meta-analyses in mathematics and special education, and scanned the reference lists of meta-analyses that met inclusion criteria. To be included in this systematic review, meta-analyses must have reported on the effectiveness of mathematics-focused interventions, provided a …

A Systematic Review Of The Quality Of Reporting In Mathematics Meta-Analyses For Students With Or At Risk Of Disabilities Coding Protocol, Gena Nelson

Early and Special Education Faculty Publications and Presentations

The purpose of this document is to provide readers with the coding protocol that authors used to code 22 meta-analyses focused on mathematics interventions for students with or at-risk of disabilities. The purpose of the systematic review was to evaluate reporting quality in meta-analyses focused on mathematics interventions for students with or at risk of disabilities. To identify meta-analyses for inclusion, we considered peer-reviewed literature published between 2000 and 2020; we searched five education-focused electronic databases, scanned the table of contents of six special education journals, reviewed the curriculum vitae of researchers who frequently publish meta-analyses in mathematics and special …

Learning Assistantships In College Mathematics: Value For Preservice Teacher Development, Kelly Gomez Johnson, Paula Jakopovic, Janice Rech, Angie Hodge-Zickerman

Teacher Education Faculty Publications

Increasing the participation and achievement of students in Science, Technology, Engineering, and Mathematics (STEM) from early grades to college coursework continues to be at the forefront of educational transformations and research. Faculty members at Institutions of Higher Education (IHE) plan, implement, and investigate how program structures might aid in the development, retention, and overall success of undergraduate students in STEM. Active learning classrooms, especially in mathematics, are one way IHE are reforming student learning experiences, and these environments also provide a unique opportunity to engage undergraduate learning assistants with faculty to support near - peer students and deepen their own …

Fostering Critical Thinking Skills, And Engagement To Produce Better Retention Of 4th Grade Math, Christine Prostrollo

School of Education and Leadership Student Capstone Projects

My research question for this capstone project is: Which instructional approach best fosters critical thinking skills, engagement, and long-term retention in mathematics to best prepare 4th-grade students for the 21st century? My research suggests that a mathematics curriculum that best fosters these areas of learning would likely be the most successful at preparing our students for 21st-century learning. The various instructional approaches discussed in this literature review all have their strengths and weaknesses. Because of this, a combination approach of inquiry and direct instruction while focusing on the development of critical thinking skills, engagement, and long-term retention should be the …

Designing A Professional Development Series For Educators On The Benefits Of Mathematical Manipulatives For Elementary Students’ Understanding And Mindset, Emily Geraghty

School of Education and Leadership Student Capstone Projects

Research has shown that manipulative use has a positive impact on elementary students’ understanding and mindset during their mathematics instruction. Yet, some K-5 educators are not aware of the benefits or do not know how to effectively implement manipulatives in their classrooms. This led to the creation of a professional development series. The goal of the project is for K-5 educators to learn about the benefits of manipulatives on students’ understanding and mindset through active learning, practice and application. This is made possible through slides, videos, discussion and example lessons that utilize manipulatives. By participating in the professional development series, …

Implementing Math Discourse And Rich Math Tasks To Develop Mathematical Thinking, Heather Berry

School of Education and Leadership Student Capstone Projects

Math is more than quick computation and the pursuit of correct answers. Math is sense-making. For students to thrive as problem solvers and critical thinkers in the classroom and beyond, attention must be paid to the development of their mathematical thinking. Mathematical thinking refers to the abilities to efficiently distinguish amongst specific procedures and flexibly formulate and represent strategies to suit a situation. It also includes the capacity to explain, analyze and justify one’s thinking with an understanding of self as an effective learner of math (Baroody et al., 2007; Boaler, 2018; Katz, 2014; Schoenfeld, 2016). This capstone project uses …

Combining Cognitively Guided Instruction With Required Mathematics Curriculum To Improve Overall Number Sense And Problem Solving Skill, Anna Becker

School of Education and Leadership Student Capstone Projects

Elementary school mathematics instruction often moves quickly from one to one correspondence to algorithms and rote exercises, leaving students with procedural knowledge but lacking in number sense and problem solving skills. Teachers follow the required curriculum to ensure success on assessments but skip over important instructional time that leads to number sense and a deeper understanding. Bringing Cognitively Guided Instruction into the classroom will improve students’ problem solving skills while also strengthening their number sense. This project provides educators with a full unit of detailed lesson plans for the kindergarten classroom. It also includes an outline of another unit with …

Formative Assessment And Technology In The Mathematics Classroom, Albert Humes

Master's Theses & Capstone Projects

This literature review investigates the use of formative assessment and technology in the classroom. There has been research to show that mathematics proficiency has dropped recently in the United States and researchers are looking to identify new strategies for student growth. Utilizing formative assessments, as well as targeted, immediate feedback for students, can help to improve student learning. As educational technology becomes more prevalent, more studies and research are focused around its effectiveness toward student achievement. The research found that formative assessment strategies, coupled with new technologies, can positively impact student achievement.

N-Th Order Functional Problems With Resonance Of Dimension One., Erin Benham

Theses and Dissertations

We consider a nonlinear n-th order boundary value problem given arbitrary bounded linear functional conditions and develop a method that allows us to study all such resonance problems of order one, as well as implementing a more general constructive method for deriving existence criteria in the framework of the coincidence degree method of Mawhin. We demonstrate applicability of the formalism by giving an example for when n is 4.

Coaching To Develop Teacher Professional Noticing: Planning With Students And Mathematics In Mind, Paula M. Jakopovic

Teacher Education Faculty Publications

Purpose

This paper examines how intentional mathematics coaching practices can develop teacher professional noticing of “ambitious teaching practices” (NCTM, 2020) through connected, collaborative coaching cycles.

Design/methodology/approach

Narrative analysis is used to examine observations of a mathematics coach and novice teacher to better understand the role of the coach in helping teachers attend to ambitious mathematics teaching (AMT) practices.

Findings

The initial findings of this study suggest that intentional use of focused goals, iterative coaching cycles and a gradual release model of coaching can support shifts in noticing of AMT from being led by the coach to being facilitated by the …

Learning To Teach Mathematics With Robots: Developing The ‘T’ In Technological Pedagogical Content Knowledge, Shelli L. Casler-Failing

Middle Grades & Secondary Education: Faculty Publications

A multiple case study was conducted to investigate how Lego robotics instruction incorporated into a middle grades mathematics methods course could inform pre-service teachers’ (PSTs) TPACK through the lens of Social Constructivist Theory. The qualitative data analysis revealed that when instruction on Lego robotics technology is integrated into semester long mathematics methods courses, PSTs are able to improve their TPACK knowledge in regard to the robotics. Overall, the findings suggest instruction of educational technology tools should be incorporated into methods courses over a longer duration of time, and in depth, to better support the development of PSTs’ TPACK. To meet …

Meeting Their Needs: The Algebraic Knowledge And Instructional Preferences Of Students With Learning Disabilities, Kayla Neill

Theses and Dissertations

Students with a learning disability (LD) are experts in their lived experiences within the classroom. Yet, little is known about the ways in which students with LD perceive their instruction in mathematics and whether this instruction meets their learning needs. Similarly, the mathematical thinking and content knowledge of students with LD is often excluded from the literature, particularly concerning algebraic concepts. Six high school students with LD from a large urban school district in the northeast United States participated in this two-part study. Semi-structured interviews were used to explore participants’ perceptions about their instruction within Integrated Co-Taught (ICT) mathematics classes. …