Digital Commons Network^™

Does Mathematics Training Lead To Better Logical Thinking And Reasoning? A Cross-Sectional Assessment From Students To Professors, Clio Cresswell, Craig P. Speelman

Research outputs 2014 to 2021

© 2020 Cresswell, Speelman. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Mathematics is often promoted as endowing those who study it with transferable skills such as an ability to think logically and critically or to have improved investigative skills, resourcefulness and creativity in problem solving. However, there is scant evidence to back up such claims. This project tested participants with increasing levels of mathematics training on 11 well-studied rational and logical reasoning tasks …

The Effect Of Augmented Reality On Learning In The Mathematics Classroom, Justin Thomas Maffei

Doctoral Dissertations and Projects

This study examined the impact of two treatments, augmented reality or concrete materials, on the Geometry knowledge of high school students. Participating classes were chosen from two secondary schools between two rural Virginia school districts. The sampling method selected for the study employed a convenience sample. There were 87 total participants in the study. The importance of this study emerged from a lack of research relating the use of augmented reality in the classroom to its effect on student learning. The purpose of this quantitative pretest-posttest, non-equivalent control group quasi-experimental study was to evaluate the difference in achievement scores, as …

Comparison Study Between Math Test Scores For Brick And Mortar And Online Classrooms, Marisa May

Doctoral Dissertations and Projects

With the emergence of online education, opportunities have risen for students who seek alternatives to attending a traditional school. However, the rise of virtual education has highlighted the challenges educators and students face in this environment such as academic integrity and quality control. In both learning environments, students often struggle to grasp mathematical concepts despite resources that are intended to aid learners in understanding abstract concepts. With an emphasis on state testing, educators are faced with the challenge to improve both math learning and performance on math standardized tests given at the state level. This study aimed to answer whether …

Studies On Polynomial Rings Through Locally Nilpotient Derivations., Nikhilesh Dasgupta Dr.

Doctoral Theses

No abstract provided.

Cyber-Physical Systems Security Introductory Course For Stem Students, Sin Ming Loo, Liljana Babinkostova

Electrical and Computer Engineering Faculty Publications and Presentations

We are witnessing the rapid development and adoption of Cyber-Physical Systems (CPS). CPS refers to the integration of digital and internetworked components, and physical devices in systems that affect nearly everyone in society. These devices are always connected to the internet. This connectivity gives CPS devices the capability of being in continuous monitoring mode where data and information are delivered to device owners through a proxy server. These capabilities open up all kinds of security issues for a device that has been built with such features with little regard for security considerations. At present, many Science, Technology, Engineering, and Mathematics …

Lilavathi's Cup, Patrick Young

ISBE Transitional Math Curriculum: STEM Pathway

No abstract provided.

Defibrillators And Your Heart / Student Pages, Patrick Young

ISBE Transitional Math Curriculum: STEM Pathway

No abstract provided.

Defibrillators And Your Heart / Teacher Notes, Patrick Young

ISBE Transitional Math Curriculum: STEM Pathway

No abstract provided.

Covid-19 Growth Rate, Patrick Young

ISBE Transitional Math Curriculum: STEM Pathway

No abstract provided.

Covid-19 Growth Rate / Teacher Notes, Patrick Young

ISBE Transitional Math Curriculum: STEM Pathway

No abstract provided.

Experiencing Active Mathematics Learning: Meeting The Expectations For Teaching And Learning In Mathematics Classrooms, Kristy Litster, Beth L. Macdonald, Jessica F. Shumway

Teacher Education and Leadership Faculty Publications

Active learning mathematics classrooms incorporate meaningful activities that emphasize reasoning, thinking and active interaction with mathematics. Current mathematics standards and curricula recommend that Mathematics Teacher Educators (MTEs) use elements of active learning in their mathematics content courses specifically designed for Prospective Teachers (PTs) as they prepare PTs to learn and teach mathematics. However, it can be very difficult for PTs to shift their pedagogical dispositions towards instruction associated with active learning because they typically have not experienced mathematics taught in this way. This article focuses on two instructional practices for MTEs to use with PTs. First, selecting tasks that promote …

The Effects Of Project Lead The Way Launch Curriculum On Elementary Girls’ Perception And Career Interests In Science, Technology, Engineering, And Mathematics, Mina Blazy

Electronic Theses, Projects, and Dissertations

The United States has examined the quality of science, technology, engineering and mathematics (STEM) education since before the turn of the century. STEM educators are still having the conversation around why more women are not joining STEM pathways. Girls and boys as early as birth are curious about the world; through their own lens they learn about gravity from dropping spaghetti on the floor or seeing a small insect on the wall. As children get older they are influenced by the perceptions of their parents and peers.

This study looked at the perception and career interests of girls in STEM …

Learning To Fail? Student Experiences In Remedial Mathematics In Community Colleges, Margaret P. Fay

Dissertations, Theses, and Capstone Projects

Referral to remedial coursework in mathematics is a significant barrier to degree attainment for community college students, which in turn has serious consequences for their employment and earning prospects. Students are placed into remediation when they are deemed unprepared to engage in college-level coursework, most often based on a score on a placement test. Nationally, 59% of community college students are placed into remedial math courses. Of these, only 49% complete remediation and gain access to college-level coursework. Because a college-level math course is often a degree requirement, many students who fail to complete remedial math courses are forced to …

Exploring The Phenomenon Of Distance In Children's Interactions With Touchscreen Digital Mathematics Games, Stephen I. Tucker, Patricia S. Moyer-Packenham

Teacher Education and Leadership Faculty Publications

This study examines the construct of distance – the degree of difficulty of interacting with something – as part of activity involving children using touchscreen digital games to learn mathematics. Ten fifth-grade children engaged in video-recorded semi-structured task-based interviews in which they used two touchscreen digital mathematics games on a touchscreen tablet and responded to semi-structured follow-up questions. Qualitative data analysis was iterative, featuring analytic memoing and eclectic coding techniques to identify themes related to distance. In advanced coding stages, magnitude coding was used to characterize the degree of distance present. Findings provide evidence of the presence of distance, changes …

Sandcastles: A Math Modeling Adventure, Matthew Lemire, Joseph Simpson, Lottie Steward

Linfield University Student Symposium: A Celebration of Scholarship and Creative Achievement

Our presentation is about our experience participating in the 2020 COMAP Mathematical Contest in Modeling this past Spring. We briefly discuss the nature of the contest, followed by a summary of our specific experience. We selected Problem B, which was about finding the ideal geometric shape of the foundation of a sandcastle, and we achieved “Successful Participant” in the contest.

Determination Of A Graph's Chromatic Number For Part Consolidation In Axiomatic Design, Jeffery Anthony Cavallaro

Master's Theses

Mechanical engineering design practices are increasingly moving towards a framework called axiomatic design (AD). A key tenet of AD is to decrease the information content of a design in order to increase the chance of manufacturing success. An important way to decrease information content is to fulfill multiple functional requirements (FRs) by a single part: a process known as part consolidation. One possible method for determining the minimum number of required parts is to represent a design by a graph, where the vertices are the FRs and the edges represent the need to separate their endpoint FRs into separate parts. …

The Perceptions And Experiences Of Math Anxiety, Bradley Baas

Education | Master's Theses

Math anxiety has the potential to negatively impact a student’s knowledge and awareness of themselves. This anxiety leaves students with feelings of incapability in learning math because of their existing beliefs they received in their early years in their educations. The purpose of this research was to better understand the development of middle school eighth grade students and their teachers’ math anxiety while also exploring the obstacles that anxiety creates preventing and/or inhibiting teachers from teaching the required standardized lessons. My research shows that without a trusting relationship between the teacher and student, students experience a decline in mathematics performance …

Linguistic Barriers In Mathematics Word Problems For Deaf Students, Stefania Sarkic

Undergraduate University Honors Capstones

Many teacher preparation programs provide insufficient problem-solving skills training, and deaf students whose primary language is ASL encounter linguistic barriers when answering mathematics word problems. Research suggests that deaf students do not fully develop their critical thinking skills due to the linguistic barriers in mathematical word problems. This project investigates whether the use of ASL in mathematical word problems effectively gives another approach, more visual-based, to solving word problems and thereby helps deaf students develop critical thinking skills. A survey of 28 deaf students in developmental mathematics courses included three-word problems, one asked in English only, a second in ASL …

The Mathematics Behind Illusion, Kouassi Adou

All Zyzzogeton Presentations

Historically, research on optical, or visual illusions has belonged mainly to the field of psychology. However, in the 1980s, Professor Kokichi Sugihara, Meiji University, Japan, introduced a mathematical approach to design and classify 3-dimensional optical illusions. This presentation provides a sample of the mathematics behind some types of visual illusions.

The Latin-American Laboratory For Assessment Of The Quality Of Education: Measuring And Comparing Educational Quality In Latin America, Australian Council For Educational Research

Assessment GEMS

The Laboratorio Latinoamericano de Evaluación de la Calidad de la Educación (Latin-American Laboratory for Assessment of the Quality of Education or LLECE) is the network of national systems for the assessment of education quality in Latin America, created in 1994, and coordinated by UNESCO’s Regional Bureau for Education in Latin America and the Caribbean (OREALC). LLECE’s purpose is to produce data and knowledge that inform educational policy in the region, contribute to capacity building, and serve as a forum for reflection, exchange and generation of new ideas and good practices in education evaluation. LLECE assessments aim to provide information about …

Video Case Materials And The Development Of Collective Professional Knowledge, Victoria D. Bonaccorso

Theses, Dissertations and Culminating Projects

The dynamic nature of teaching means that teachers are making in-the-moment decisions on a daily basis. Video case study professional development can be used as a way to provide teachers an opportunity to analyze real teaching scenarios to prepare to make these decisions in practice. While work has been done to reveal the effectiveness of using case studies as a teaching tool, there has not been research conducted to determine if video case studies can be used to foster the development of collective professional knowledge. This study utilizes a particular professional development model using video case studies grounded in the …

Correcting Student Motivation In A Mathematics Classroom, Joshua Mcpheron

Honors Projects

The intentions of this action research study are to analyze the motivational components of students in a classroom and test which forms of encouragement will create the most motivation. Utilizing the Motivational Systems Theory of Martin E. Ford, students will be measured quantitatively and qualitatively for their classroom motivation and which component of the theory causes them to lack it. The results will reveal how each type of student responds to different teaching styles, and how they will be motivated as a result.

College Student Changing Attitudes And Beliefs About The Nature Of And Teaching Of Mathematics And Science, Stephen R. Skinner

Graduate Theses and Dissertations

With an estimated 17.3 million STEM jobs in the US, there exists a need for a STEMready workforce that is science literate with positive attitudes and beliefs toward the learning and teaching of mathematics and science (Graf, Fry, & Funk, 2018). However, the US has seen a steady decline in the number of high school students interested in STEM-related fields with only 16% of interested students with proven proficiency in mathematics and science and are ready to enroll in college STEM programs (ACT, 2017; Osborne & Dillon, 2008; Stake & Mares, 2001). With the decline in student interest, the US …

The Impact Of Social Constructivist Mathematics Learning Experiences On Latino, Middle School Students’ Proportional Reasoning, Victor M. Vizcaino

Theses and Dissertations

Due to its centrality in the curriculum, research on proportional reasoning (PR) has seen a resurgence of interest. Recent research examined students’ patterns, strategies, and achievement when solving PR problems. Other studies explored PR learning trajectories. Additional studies focused on instructional interventions such as the effect of number structure, continuous, discrete, and intensive quantities to promote the development of proportional reasoning skills (PRS). The subjects of these studies have been United States white middle school students, Icelandic grade 5 girls, Spanish secondary school students, Turkish middle school students, as well as Scottish and Korean upper primary grades’ students. Few studies …

Beginning Algebra Made Useful, Charlene E. Beckmann

Open Textbooks

Beginning Algebra Made Useful addresses the needs of learners to make sense of algebra by quantifying and generalizing everyday occurrences such as commuting to work, buying gas or pizza, and determining the better deal. It requires learners to actively engage with algebraic concepts through physical and thought experiments in ways that help them connect ideas, representations, and contexts, and solve problems that arise in their daily lives. The text helps learners grow their brains and develop growth mindsets as they learn algebra conceptually. Problem sets continue the process, extending work begun in each lesson, applying new understandings to new contexts, …

Three Arts & Sciences Faculty On Coronavirus Experts Livestream, May 1, Ohio University College Of Arts & Sciences

All Forum Articles

No abstract provided.

Building On Abilities: Developing A Growth Mindset, Valorie L. Zonnefeld

Faculty Work Comprehensive List

"Experience has taught me that before we can conquer any mathematics, it is important that the students first believe that they can learn math."

Posting about ­­­­­­­­growth in learning 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/building-on-abilities-developing-a-growth-mindset/

The Effects Of Small-Group Collaboration On Student Attitudes Towards Mathematics, Philip Golden

Undergraduate Theses

Collaborative group work has become a prevalent teaching strategy in high school mathematics classrooms, and for good reason. When implemented effectively, studies show that collaboration improves student learning outcomes. However, there are other factors to consider when deciding on best practices for teaching, one being student attitudes towards the content. In particular student attitudes towards mathematics (which are not generally positive) are important to consider. In this study, students in a high school mathematics classroom took a survey before and after a unit that implemented collaborative strategies. Results of the study indicate that student attitudes towards math improved after working …

The Effect Of Mozart’S Music On Test Anxiety, Emma Blevins

Honors Projects

Test anxiety is a multitude of negative responses to evaluation, which can have an adverse effect on student performance on examinations and student health. Research has found that listening to slow or classical music can help reduce student test anxiety by improving spatial-temporal reasoning, improving student focus, and reducing the physiological effects of anxiety. In my classroom, listening to Mozart’s music was shown to have a positive effect on students’ emotional well-being. However, the students in my classroom did not have a significant change in performance on mathematics exams when listening to Mozart’s music.

Simplexity Of The N-Cube, Peter Graziano

Mathematics & Computer Science Student Scholarship

Major: Mathematics and Classics

Faculty Mentor: Dr. Su-Jeong Kang, Mathematics

The process of dividing shapes into triangles is called triangulation, and it is possible to abstract the idea of a triangle to higher dimensions, where it will be called a simplex in n-dimensions, or an n-simplex. I studied this process of generalized triangulation, or decomposition, in order to find an optimal decomposition of a 5-cube to help improve the bounds on the general case of an n-cube.