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Articles 1  30 of 236
FullText Articles in Education
Seven Properties Of Highly Effective Problems, Thomas Ales, Kevin Peterson, Constantine Roussos
Seven Properties Of Highly Effective Problems, Thomas Ales, Kevin Peterson, Constantine Roussos
Journal of Mathematics and Science: Collaborative Explorations
In an effort to provide more critical thinking opportunities in their courses, instructors are embracing the power of problem and projectbased learning (PBL). In this paper we address the importance of problem quality when utilizing PBL. We list seven important properties that a highquality problem should have. We conclude with an example of a problem that possesses all seven properties.
PreCalculus: Thinking Deeply About Simple Things, Jacob Carter
PreCalculus: Thinking Deeply About Simple Things, Jacob Carter
Graduate Research Showcase
“PreCalculus: Thinking Deeply About Simple Things” is a researchbased creative endeavor focused on designing a highschool precalculus course. This course aims to foster deep, meaningful thinking, as well as an appreciation of the values of diversity, equity, and inclusion in the math classroom. The course leverages students’ funds of knowledge to employ culturally responsive teaching methods to connect mathematical concepts to the students’ backgrounds, interests, and reallife situations. This course also integrates socialemotional learning to create an engaging and supportive learning environment for all students. By combining Peter Liljedahl’s “Building Thinking Classroom in Mathematics” approach with problembased learning, the course …
Social Justice Mathematics: Classroom Practices That Give Students Rigor While Building Agency, Emily Marquise
Social Justice Mathematics: Classroom Practices That Give Students Rigor While Building Agency, Emily Marquise
Masters Theses
The purpose of this study is to examine the impact of a social justice approach to mathematics instruction. While many students have math aversion, students in low socioeconomic communities exhibit this to a higher degree putting them at a disadvantage as they progress through their educational career. More than 3.4 million K12 students in the United States come from families that earn less than the median income yet achieve scores in the top percentile (Wyner et al., 2007). This raises the question of why so many students in lowsocioeconomic settings are not given rigorous content that will keep them competitive …
The Negative Stigma Surrounding Mathematics, Marissa A. Greisen
The Negative Stigma Surrounding Mathematics, Marissa A. Greisen
PSU McNair Scholars Online Journal
There is a negative stigma that surrounds mathematics in our education system. It is important to bring notice to this for the benefit of future students. There is a lot of research claiming that math is looked down on, but they do not answer why, or what we can do to fix it. Why is there a greater negative stigma around math and not other subjects? What roles to teachers, parents, and peers play in this stigma? In this article, I created a survey for people to answer questions regarding their opinion on math, who they believe typically does well …
Examining The Effectiveness Of Using PointOfView Video Modeling On Mathematics Improvement In Students With Learning Disabilities In Saudi Arabia, Tirad Alsaluli
Electronic Theses and Dissertations
Video Modeling (VM) is one of the most widely used approaches by researchers to improve many skills, such as academic skills in students with Learning Disabilities (LD; Boon et al., 2020). As the incidence rate of individuals with LD in Saudi Arabia increase (Almedlij & RubinsteinÁvila, 2018), the need for evidencebased math interventions focused on the math development of individuals with LD also increases. Although VM is recognized as an Evidencebased Practice (EBPs), a limited number of studies have implemented VM as an intervention to improve mathematic skills. Implementing VM as a math intervention strategy would explore its effects on …
Synesthesia: 3.1415... Orange.Whiteperiwinklewhiteblue..., Shelly Sheats Harkness, Bethany A. Noblitt, Nicole Giesbers
Synesthesia: 3.1415... Orange.Whiteperiwinklewhiteblue..., Shelly Sheats Harkness, Bethany A. Noblitt, Nicole Giesbers
Journal of Humanistic Mathematics
In this paper we address the questions: What is synesthesia? What support(s) can teachers provide for their students who have synesthesia? Nicole, a future mathematics teacher who possesses this synesthesia “superpower”, describes how it impacted her learning. We collected data for this case study through an audiorecorded and transcribed interview, as well as from subsequent email correspondence between the three authors. We asked Nicole three kinds of questions: questions she is frequently asked, questions she would like to be asked, and questions teachers (like Shelly and Beth) might ask. Results indicate that synesthesia may have helped Nicole learn English as …
Engaging Students With HighStakes Problems, Deepak Basyal
Engaging Students With HighStakes Problems, Deepak Basyal
Mathematics and Statistics
Engaging students in meaningful mathematics problemsolving is the intention of many education stakeholders around the world. Research suggests that the implementation of highstakes problems in mathematics teaching is one way to strengthen students’ conceptual understanding. Many carefully crafted openended problems constitute highstakes problems, and proper use of such problems in teaching and learning not only encourages learners’ flexible thinking but also helps detect their misconceptions. However, what is less practiced and understood is: how exactly one should aim to implement such problems in a classroom setting. Teaching preservice middle school teachers for a few years using highstakes (mostly openended problems) …
Incorporating Perspectival Elements In A Discrete Mathematics Course, Calvin Jongsma
Incorporating Perspectival Elements In A Discrete Mathematics Course, Calvin Jongsma
Faculty Work Comprehensive List
Discrete mathematics is a vast field that can be explored along many different paths. Opening with a unit on logic and proof and then taking up some additional core topics (induction, set theory, combinatorics, relations, Boolean algebra, graph theory) allows one to bring in a wealth of relevant material on history, philosophy, axiomatics, and abstraction in very natural ways. This talk looks at how my 2019 textbook on discrete mathematics, focused in this way, came to be, and it highlights the various perspectival elements the book includes.
Curriculum Connectivity In Montclair State University’S Undergraduate Mathematics Program, Ana G. Da Silva Jesus
Curriculum Connectivity In Montclair State University’S Undergraduate Mathematics Program, Ana G. Da Silva Jesus
Theses, Dissertations and Culminating Projects
According to Piaget’s cognitive development theory and the constructivism learning theory of education, real learning occurs when students establish long term connections between disciplines by either adapting or redefining previously acquired knowledge. These ideologies have important teaching and learning implications that directly influence curriculum development and the design of a course of study. This thesis explores the interconnectedness of the subjects required for the successful completion of an undergraduate math program at Montclair State University. More specifically, it models students’ unique connections through a learning network and investigates the correlation between the interconnectivity of subjects and students’ overall performance. Results …
Digital GameBased Approach To Math Learning For Students, Gul Ayaz, Katherine Smith
Digital GameBased Approach To Math Learning For Students, Gul Ayaz, Katherine Smith
Modeling, Simulation and Visualization Student Capstone Conference
Mathematics is an important subject that is pervasive across many disciplines. It is also a subject that has proven to be challenging to both teach and learn. Students face many challenges with learning math such as a lack of motivation and anxiety. To address these challenges, gamebased learning has become a popular approach to stimulate students and create a more positive classroom environment. It can serve as an alternative or supplement to traditional teaching and can better engage students while developing a positive attitude toward learning. The use of games in a classroom can create a more exciting and engaging …
Using Visual Imagery To Develop Multiplication Fact Strategies, Gina Kling
Using Visual Imagery To Develop Multiplication Fact Strategies, Gina Kling
Dissertations
The learning of basic facts, or the sums and products of numbers 0–10 and their related differences and quotients, has always been a high priority for elementary school teachers. While memorization of basic facts has been a hallmark of elementary school, current recommendations focus on a more nuanced development of fluency with these facts. Fluency is characterized by the ability to demonstrate flexibility, accuracy, efficiency, and appropriate strategy use. Despite recommendations to focus on strategy use, there is insufficient information on instructional approaches that are effective for developing strategies, particularly for multiplication facts. Using visual imagery with dot patterns has …
Using Game Theory To Model Tripolar Deterrence And Escalation Dynamics, Grace Farson
Using Game Theory To Model Tripolar Deterrence And Escalation Dynamics, Grace Farson
Honors Theses
The study investigated how game theory can been utilized to model multipolar escalation dynamics between Russia, China, and the United States. In addition, the study focused on analyzing various parameters that affected potential conflict outcomes to further new deterrence thought in a tripolar environment.
A preliminary game theoretic model was created to model and analyze escalation dynamics. The model was built upon framework presented by Zagare and Kilgour in their work ‘Perfect Deterrence’. The model is based on assumptions and rules set prior to game play. The model was then analyzed based upon these assumptions using a form of mathematical …
Mathematics Tracking: Policy Brief, Melissa P. Donham
Mathematics Tracking: Policy Brief, Melissa P. Donham
Journal of Multicultural Affairs
Tracking is a longstanding practice in schools. Students are often placed in tracks beginning in upper elementary or middle school. The tracks in which students are placed in earlier grades set them up for the mathematics courses they are able to take in high school. The number of mathematics tracks for students can differ from school to school, but the policy of having mathematics tracks is common throughout schools in the United States. This policy brief will discuss the arguments for and against mathematics tracking policies, implications for educators and policymakers, and future directions.
Math Department 20222023 Newsletter, Mathematics Department
Math Department 20222023 Newsletter, Mathematics Department
Mathematics Newsletter
Welcome to our annual Mathematics Department Newsletter. We had an exciting year with many activities and accomplishments. Our students have received awards, attended conferences, conducted research, and have really contributed to the life of the department. Our faculty have had many accomplishments in teaching and scholarship. We conducted several events such as Alumni Night, hosted a guest speaker for the university community, had our Pi Mu Epsilon induction and awards ceremony, and much more. We have heard from several alumni and are happy to report what they are doing. Our Math Club has been becoming more active. On the curriculum …
Utilizing Markov Chains To Estimate Allele Progression Through Generations, Ronit Gandhi
Utilizing Markov Chains To Estimate Allele Progression Through Generations, Ronit Gandhi
Honors Theses
All populations display patterns in allele frequencies over time. Some alleles cease to exist, while some grow to become the norm. These frequencies can shift or stay constant based on the conditions the population lives in. If in HardyWeinberg equilibrium, the allele frequencies stay constant. Most populations, however, have bias from environmental factors, sexual preferences, other organisms, etc. We propose a stochastic Markov chain model to study allele progression across generations. In such a model, the allele frequencies in the next generation depend only on the frequencies in the current one.
We use this model to track a recessive allele …
Finding The Common Denominator: Understanding The Shared Experiences Of Female Math Majors, Abigail R. Rosenbaum
Finding The Common Denominator: Understanding The Shared Experiences Of Female Math Majors, Abigail R. Rosenbaum
Honors Theses
Despite efforts to increase gender diversity in STEM fields, women remain underrepresented in mathematics, especially in advanced academic and research positions. This study aimed to explore the experiences of female math majors as they attempt to navigate this maledominated space. Through qualitative interviews with seven female math majors, two female math professors, and a focus group with education majors at Woodbridge College, small liberal arts college in the United States, several common themes were identified that define the experiences of female math majors. The findings suggest that math is held at an elevated status in society and that there is …
Streaming With Butterflies: A Whole School Stream Project, Carey L. Averill, Janet M. Herrelko
Streaming With Butterflies: A Whole School Stream Project, Carey L. Averill, Janet M. Herrelko
Journal of Catholic Education
This study explores the commitment of a school faculty to use the pedagogical practices needed to employ a projectbased unit of Science, Technology, Religion, Engineering, Arts, and Mathematics (STREAM). The unit of study concentrated on environmental sustainability of butterflies through projectbased learning (PBL). Teacher interviews were analyzed to reveal the similarities and differences, strengths and weaknesses in the teachers’ reactions to implementing a crosscurricula content unit designed for a prekindergarten (PK) to eighth grade school. Analysis of teacher data and classroom artifacts provided evidence of: content mastery at the student levels; implementation of scaffolding for developmental levels; and the need …
Developing Awareness Around Language Practices In The Elementary Bilingual Mathematics Classroom, Gladys Krause, Melissa Adams Corral, Luz A. Maldonado Rodríguez
Developing Awareness Around Language Practices In The Elementary Bilingual Mathematics Classroom, Gladys Krause, Melissa Adams Corral, Luz A. Maldonado Rodríguez
Teaching and Learning Faculty Publications and Presentations
This study contributes to efforts to characterize teaching that is responsive to children’s mathematical ideas and linguistic repertoire. Building on translanguaging, defined in this article as a pedagogical practice that facilitates students’ expression of their understanding using their own language practices, and on the literature surrounding children’s mathematical thinking, we present an example of a oneonone interview and of the circulating portion of a mathematics class from a second grade classroom. We use these examples to foreground instructional practices, for researchers and practitioners, that highlight a shift from a simplified view of conveying mathematics as instruction in symbology and formal …
Applying Expansive Framing To An Integrated MathematicsComputer Science Unit, Kimberly Evagelatos Beck, Jessica F. Shumway
Applying Expansive Framing To An Integrated MathematicsComputer Science Unit, Kimberly Evagelatos Beck, Jessica F. Shumway
Publications
In this research report for the National Council of Teachers of Mathematics 2022 Research Conference, we discuss the theory of Expansive Framing and its application to an interdisciplinary mathematicscomputer science curricular unit.
Towards Pedagogy Supporting Ethics In Modelling, Marie Oldfield
Towards Pedagogy Supporting Ethics In Modelling, Marie Oldfield
Journal of Humanistic Mathematics
Education for concepts such as ethics and societal responsibility that are critical in building robust and applicable mathematical and statistical models do currently exist in isolation but have not been incorporated into the mainstream curricula at the school or university level. This is partially due to the split between fields (such as mathematics, statistics, and computer science) in an educational setting but also the speed with which education is able to keep up with industry and its requirements. I argue that principles and frameworks of socially responsible modelling should begin at school level and that this would mean that ethics …
The Impact Of Virtual Learning Modalities On The Academic Success Of Students In One Arkansas School District, Diane F. Richards
The Impact Of Virtual Learning Modalities On The Academic Success Of Students In One Arkansas School District, Diane F. Richards
ATU Theses and Dissertations 2021  Present
The COVID19 pandemic changed the way Arkansas public schools’ offered students an education. While moving through this pandemic, many Arkansas schools implemented optional methods of delivery for their students. Some schools tried to maintain facetoface classes, while others offered completely online classes. Still, others offered a hybrid format where students attended some facetoface classes and online classes. One Arkansas school district offered all three options. School districts need guidance as to which teaching methods worked well. The longterm effects of the educational impact of COVID19 are not known at this time. Schools could benefit from a guide with useful strategies …
How To Guard An Art Gallery: A Simple Mathematical Problem, Natalie Petruzelli
How To Guard An Art Gallery: A Simple Mathematical Problem, Natalie Petruzelli
The Review: A Journal of Undergraduate Student Research
The art gallery problem is a geometry question that seeks to find the minimum number of guards necessary to guard an art gallery based on the qualities of the museum’s shape, specifically the number of walls. Solved by Václav Chvátal in 1975, the resulting Art Gallery Theorem dictates that ⌊n/3⌋ guards are always sufficient and sometimes necessary to guard an art gallery with n walls. This theorem, along with the argument that proves it, are accessible and interesting results even to one with little to no mathematical knowledge, introducing readers to common concepts in both geometry and graph …
Mathematical Analysis Of An Sir Disease Model With NonConstant Transmission Rate, Emma Bollinger, Tayler Valdez, Swarup Ghosh, Sunil Giri
Mathematical Analysis Of An Sir Disease Model With NonConstant Transmission Rate, Emma Bollinger, Tayler Valdez, Swarup Ghosh, Sunil Giri
Student Research
 Epidemiology: A branch of medicine that studies causes, transmission, and control methods of diseases at the population level.
 Mathematical epidemiology deals with creating a model for a disease through the study of incidence and distribution of the disease throughout a population.
 Here, we have examined the behavior of a measleslike disease[2] that is characterized by a nonconstant transmission rate.
Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams
Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams
Honors Theses
Piccirillo recently discovered a process that can be applied to an unknotting number one knot to convert it into a different knot called a Piccirillo dual. Piccirillo duals have been shown to have the same ntrace and the same sliceness. However, exploration and knowledge of this process is limited. We were able to generate the Piccirillo duals for several lowcrossing number knots. We offer the foundation for and explain how to follow the Piccirillo process and generate Piccirillo duals. This talk assumes little knowledge of knot theory and concisely gives newcomers a clear introduction to get started working with Piccirillo …
A Tale Of Four Departments: Interdisciplinary Faculty Learning Communities Informing Mathematics Education, Bryan D. Poole, Caroline MaherBoulis, John Hearn, Jason Robinson, Patricia Mcclung, Amanda Jones
A Tale Of Four Departments: Interdisciplinary Faculty Learning Communities Informing Mathematics Education, Bryan D. Poole, Caroline MaherBoulis, John Hearn, Jason Robinson, Patricia Mcclung, Amanda Jones
Journal of Mathematics and Science: Collaborative Explorations
As a result of the Curriculum Foundations Project and the SUMMITP consortium, faculty from four different departments at Lee University created a Faculty Learning Community (FLC) with the goal of improving students’ attitudes toward undergraduate mathematics courses, including students’ perception of the utility of mathematics in their lives and the feelings of anxiety that they experience in these courses. The interdisciplinary collaborations resulted in introducing novel activities and manipulatives in various mathematics courses (Introduction to Statistics, Concepts of Mathematics I and II, and Algebra for Calculus). This paper first describes the efforts of creating the interdepartmental FLC. Second, it discusses …
Using An Interdisciplinary Case Study To Incorporate Quantitative Reasoning In Social Work, Nursing, And Mathematics, Elizabeth Post, Mischelle Stone, Lauren Cavner Williams, Mary Beaudry
Using An Interdisciplinary Case Study To Incorporate Quantitative Reasoning In Social Work, Nursing, And Mathematics, Elizabeth Post, Mischelle Stone, Lauren Cavner Williams, Mary Beaudry
Journal of Mathematics and Science: Collaborative Explorations
Through the national consortium, SUMMITP, Ferris State University faculty collaborated to develop and scaffold mathematics and quantitative reasoning across disciplines to reduce math anxiety. Participants in this collaborative group included faculty from social work, nursing, and mathematics who developed a case study on a Hurricane Katrina scenario that necessitated calculating the need for emergency shelter, water, food, and medicine, and as a response to the potential for a Malaria outbreak. This particular case study allowed faculty to use the lens of social justice to teach mathematical concepts and provided an avenue for nursing and social work students to engage in …
The Effects Of Stem And NonStem Mathematics Corequisite Courses On Student Success At Public Institutions In West Virginia, Vanessa S. Keadle
The Effects Of Stem And NonStem Mathematics Corequisite Courses On Student Success At Public Institutions In West Virginia, Vanessa S. Keadle
Theses, Dissertations and Capstones
This study explored the differences in student success outcomes between students enrolled in nonSTEM and STEM corequisite mathematics courses at 18 postsecondary institutions across five academic years in West Virginia, using deidentified student data. The researcher analyzed this extant data to determine if student characteristics were predictors of success, as defined as passing the mathematics corequisite course, retention to the next semester, and earning a GPA of 2.0 or higher. The researcher also conducted analyses to understand if the differences in those outcomes between STEM and nonSTEM courses were significant. This study identified statistically significant gaps in success for students …
Math Department 20212022 Newsletter, Mathematics Department
Math Department 20212022 Newsletter, Mathematics Department
Mathematics Newsletter
Welcome to our annual Mathematics Department Newsletter. As we are slowly coming out of the pandemic, we were able to resume many of our normal events.
Making UpperLevel Math Accessible To A Younger Audience, Allyson Roller
Making UpperLevel Math Accessible To A Younger Audience, Allyson Roller
WWU Honors College Senior Projects
Symmetry is all around us. It appears on fabrics and on the buildings that surround us. Believe it or not, there is actually quite a bit of math that goes into generating these patterns, which are known as the seven frieze patterns. In my work, I explain how each unique pattern is generated using different types of symmetries. I also created a PDF of a children’s book about frieze patterns to ensure that people of all ages have the opportunity to learn about seemingly complex patterns.
Covid And Curriculum: Elementary Teachers Report On The Challenges Of Teaching And Learning Mathematics Remotely, Kristin GiorgioDoherty, Mona Baniahmadi, Jill Newton, Amy M. Olson, Kristen Ferguson, Kaitlyn Sammons, Marcy M. Wood, Corey Drake
Covid And Curriculum: Elementary Teachers Report On The Challenges Of Teaching And Learning Mathematics Remotely, Kristin GiorgioDoherty, 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 COVID19 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 lowincome schools regarding teachers’ perceived preparedness for online teaching, teachers’ use and decisions about mathematics curriculum, and their students’ remote resources …