Educational Methods Commons^™

Self-Efficacy Traits Of First Year Corequisite Math Students: A Phenomenological Study, Johnny Reed Fleming

Doctoral Dissertations and Projects

The purpose of this phenomenological study was to understand better the self-efficacy traits of first-year corequisite mathematics students at a regional, private, liberal arts university located in central Appalachia. The theory guiding this study is Bandura’s social cognitive theory as it pertains to participants’ beliefs in their ability to succeed in a college-level mathematics course and their perceived self-efficacy and reciprocal determinism regarding that success. The research questions in this study were designed to examine the perceived self-efficacy, factors of reciprocal determinism, and attitudes of students who experienced success in a credit-bearing mathematics course in college while subsequently enrolled in …

A Comparison Of Mathematics Intervention Methods: Overcoming Learning Loss Caused By Covid-19, Adam Goosby

College of Education

The COVID-19 pandemic created unprecedented disruptions to the educational system and exposed weakness within the structures that resulted in measurable regression in student achievement across all academic domains, but most notably mathematics. The purpose of this study is to investigate the impact of two distinct methods of mathematics interventions provided to middle-grade students with the intent to begin to overcome the learning loss. Through the lens of the Expectancy-Value theory, the study emphasizes the importance of mathematics achievement and its role in building student capacity and establishing a growth mindset. The study employed a series of repeated-measures ANOVAs and a …

Equity Vs. Excellence: Dichotomy Or Duo?, Nadjia I. Logans

Honors Program: Senior Projects (Public)

In this thesis, I investigate recent changes in mathematics education and how these developments connect to the principles of equity and excellence. I place a special focus on “active learning” methods. My methodology primarily consisted of interviews with educators, along with analyzing literature from math education researchers. I first define and explain the motivations behind active learning instruction methods. Next, I explore not only how instructors define equity and excellence but how educators perceive the role of the two principles within education. Finally, I challenge the pervasive media portrayal of equity and excellence as being mutually exclusive. Instead, I find …

Reinventing Mathematics Learning: An Exploration Of Undergraduate Mathematics Learning Post-Pandemic, Morgan R. Balesano

Honors Scholar Theses

In response to the COVID-19 pandemic, beginning in March 2020 nearly all secondary and undergraduate mathematics students were forced to adapt to new methods of learning and testing. As a result, the current experience for these mathematics students has changed vastly, as have the opinions and preferences of these students in terms of their learning. This study aims to identify instruction and testing resources and methods that students prefer and those that students find less beneficial in their current, post-pandemic educational experience. The past few years have seen a focus on the direct impacts of online learning during the pandemic, …

School System And Student Performance: Examining Science And Mathematics Achievement In Pakistan, Sadia Muzaffar Bhutta, Sohail Ahmad, Aisha Naz Ansari

Institute for Educational Development, Karachi

Public and private school systems are the two largest providers of formal school education in Pakistan, differing significantly in their governance, resources, and practices. While previous studies showed differences in Student Learning Outcomes (SLOs), often favouring private schools, these comparisons remained largely descriptive. This paper compares elementary grade students’ performance in mathematics and science between public and private schools in Pakistan, accounting for factors such as grade level and geographical region. A cross-sectional survey was conducted with 15,391 students from grades 5, 6, and 8, selected through a multistage sampling technique from a total of­­ 153 public and private schools …

Impact Of A Mathematics Review On Students' Chemistry Self-Efficacy And Problem-Solving Skills In An Undergraduate Chemistry Course, Antoinette Marie Gayle

Theses and Dissertations

Mathematics is an integral part of chemistry courses, and the application of arithmetic and algebraic knowledge is important for solving calculation-based problems in undergraduate general chemistry. Students begin undergraduate chemistry with varying levels of mathematics skills and experience which may impact their ability to solve problems and understand the content in chemistry courses. Utilizing a convergent mixed methodology, this action research study evaluated the impact of an in-class mathematics review intervention on students’ chemistry self-efficacy and problem-solving abilities in general chemistry. Mathematics review sessions were conducted in undergraduate general chemistry classes with 40 first-year students at a small university college …

Plotting For Change: Utilizing Computer-Based Scaffolding Through Desmos To Influence High School Students’ Performance And Attitudes Toward Mathematics, Jennifer Underwood Farmer

Theses and Dissertations

The purpose of this action research was to understand the impact of computer-based instructional scaffolding in Desmos on Math 3 high school students’ performance and attitudes toward mathematics. The demand for societal mathematics literacy has increased significantly over the last decade and continues to grow. To achieve this literacy, students must reason, augment, communicate, model, and problem-solve with technology applications; development of these skills requires engagement and support through technology-rich learning opportunities.

Currently, Math 3 students are not performing at the proficient level on state exams and are displaying negative attitudes towards mathematics. Student attitudes and performance in technology enhanced …

Pre-Service Teachers’ Noticing Of Students’ Mathematical Thinking When Planning, Teaching, And Reflecting On Lessons, Matthew Flores

Dissertations and Doctoral Documents, University of Nebraska-Lincoln, 2023–

A central aspect of reform-minded mathematical teaching is training and developing teachers' ability to notice vital aspects in the classroom and more specifically, students’ mathematical thinking. As there is an abundance of evidence and research that support the benefits for teachers to elicit and use students’ ideas and thinking during instruction, there are just as many challenges associated with developing and mastering this skill. Specially, teachers must learn to attend to important details of students’ thinking, interpret the meaning and understanding of students’ thinking, and finally, teachers must decide how to purposefully respond to the student in a manner that …

The Effect Of Instructionally Embedded Cognitive Reframing On Students’ Self-Beliefs Of Their Mathematical Competence, Kelly Eyre Frazee

Theses and Dissertations

Many students lack the ability to maintain positive perceptions of their mathematical self-belief, resulting in undesirable social, emotional, and academic outcomes. The purpose of this study was to investigate the impact of a cognitive reframing strategy on third and fourth grade math intervention students’ perceptions of their mathematical competence. This study sought to understand the impact of this emotional regulation strategy on students’ ability to autonomously regulate their negative or irrational thoughts related to their mathematics abilities, as well as the impact on their self-beliefs. Data for this study were collected through semi-structured interviews with students, student reflections, and researcher …

Using L1 Student Narratives And Peer Teaching To Increase Secondary Education Mathematical Understanding, Marco Antonio Martinez Leandro

Teacher Education, Educational Leadership & Policy ETDs

This phenomenological study research presents an option to use both discourse in the native language and technology as an alternative to improve the understanding of mathematics in secondary education. 13 students whose native language is Spanish attended a high school in a large urban school district in the Southwest of the United States, participated in this study.

The study's main objective was to observe the effects of using students' discourse in their language and the support of technology to increase their academic literacy in mathematics. Solution-based pedagogy was central to helping students achieve the Development of Academic Literacy in Mathematics …

Developing Better Instructors Using The Principles To Actions Professional Learning Toolkit, Abigail Pyle, Patrick Eggleton

Lux et Fides: A Journal for Undergraduate Christian Scholars

This research report documents how a group of mathematics teacher educators collaborated to use the Principles to Actions (NCTM, 2014) (PtA) Professional Learning Toolkit in their classes, the tools they used to measure development in the future teachers, and the findings from the study. In keeping with other studies, using “effective mathematics teaching practices” as defined by Principles to Actions brought about changes in the beliefs of preservice elementary mathematics teachers toward best practices for teaching mathematics. There is hope that the benefits of seeing those instructional practices used by elementary classroom teachers through the PtA Toolkit videos …

Approach To Problem Solving And Use Of Intuition By Engineering Technology Students, Meher R. Taleyarkhan, Anne M. Lucietto, Natalie L. F. Hobson, Therese M. Azevedo

Journal of Global Education and Research

Engineering technology students often forgo a methodical approach of solving or answering questions on assignments or exams in favor of an intuition-based approach, emphasizing educated guessing (Broberg et al., 2008). Faculty observations have noted these student solutions often provide explanations, usually sans calculations, to support answers the students believe to be reasonable when in reality deviated from the correct answer. An extensive study was developed to assess several distinctions between student intuition and use of cognition in problem solving, as related to a generalized student population. The study was comprised of a survey and interview. The survey utilized two instruments, …

How Instructional Strategies Impact Mathematics Self-Efficacy And Learning: Middle School Student Perceptions, Roni R. Herndon

University of the Pacific Theses and Dissertations

This research focuses on middle schools where more than 90% of the students are socioeconomically disadvantaged and where mathematics scores are below the state and national average. The study was conducted to better understand how students experience various instructional strategies and perceive these classroom practices to impact their learning and self-efficacy in mathematics. A hybrid mixed methods research design, with both embedded and explanatory sequential components, was employed. Quantitative results are based on survey responses from 94 seventh grade students. Qualitative results are based on five teacher and eight student interviews.

Informed by teacher interviews, the Instructional Strategies Impact Survey …

Evaluation Of The Availability And Utilization Status Of Texts In Core Subjects In Primary Schools’ Libraries, Valentine Joseph Owan, Daniel Clement Agurokpon, Abahcham V. Owan

Library Philosophy and Practice (e-journal)

The study evaluated primary texts' availability and utilisation status in core subjects (English Language, Mathematics, Social Studies and Basic Science) in primary schools’ libraries in Obubra Local Government Area of Cross River State. The researchers formulated six null hypotheses to guide the study. The study adopted the descriptive survey research design. The target population of this study comprised a total of 30,036 teachers and pupils, distributed across the 73 public primary schools. A proportionate stratified sampling technique was used to select 30% and 5% of the available teachers and pupils in each school, resulting in a sample of 270 respondents. …

The Effects Of Stem And Non-Stem 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 non-STEM and STEM corequisite mathematics courses at 18 postsecondary institutions across five academic years in West Virginia, using de-identified 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 non-STEM courses were significant. This study identified statistically significant gaps in success for students …

Lay It All On The Line: The Effect Of Teacher-Student Conferencing In Middle Grades Mathematics Classrooms, Natalie Ostrander

Doctor of Education Dissertations

Increasing math achievement continues to be a commonly talked about subject in the educational setting. This case study observes one classroom teacher who implemented teacher-student conferencing in middle grades mathematics classes. The purpose of this study was to reveal the perceived impact of teacher-student conferencing on student engagement and with student achievement. Through a qualitative approach, perceptual data were collected through teacher journaling, conference logs, observations, and an interview. Research occurred in one school district in southeastern North Carolina with middle grades students in sixth and eighth grades. After the qualitative data were collected by me, data were analyzed using …

Improving Teaching Mathematics Using Communicative Competence In Primary Education, Jasur Amirddinovich Mardonkulov Researcher

Central Asian Journal of Education

Human society is unthinkable outside of communication. Communication is a necessary condition for the existence of people, without which it is impossible to fully form not only individual mental functions, processes and properties of a person, but also the personality as a whole. The reality and necessity of communication is determined by joint activity: in order to live, people are forced to interact. Always an active person communicates, whose activities intersect with the activities of other people. Communication allows you to organize social activities and enrich it with new connections and relationships between people.

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 …

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 …

An Investigation Of The Effects Of Self-Efficacy On Stem Implementation, Caroline Buechel

Curriculum and Instruction Undergraduate Honors Theses

In order to equip students with the 21^st Century skills necessary for today’s society, STEM education must be properly implemented in school curricula (Lamb, Akmal, & Petrie, 2015). To do so, it is important for teachers to possess both proficient knowledge of the subject matter and confidence towards the implementation of STEM. A person’s beliefs about their ability is known as their self-efficacy (Bandura 1997). Related to education, Bandura notes that this self-efficacy affects a teacher’s views on their ability to handle tasks, obligations, and challenges related to a challenge (1997). Additionally, numerous studies indicate that this self-efficacy in …

Mindfulness & Mindset: The Winning Combination? The Exploration Of The Unstuck Method® On Developmental Math Students: A Mixed Methods Study, Edite Birnbaum, Edith L. Birnbaum

Graduate Theses & Dissertations

Many students enter colleges having to take non-credit-bearing courses, and many do not pass these courses due to numerous factors, including anxiety and stress, especially in mathematics. Current literature shows how mindfulness-based interventions (Bamber, & Schneider, 2016; Dvořáková et al., 2017; Hidman, 2013; Miller et al. 2019; Regehr et al., 2013) and a growth mindset (Blackwell et al., 2007; Boaler et al., 2018; May, 2009) have a positive effect on student stress, anxiety, and academic success. This mixed-method study focused on the unSTUCK strategy’s impact, a mindfulness-inspired tool, on foundation math students. The unSTUCK strategy is a mindfulness-inspired program. The …

Metacognition In A Mathematics Classroom, Paige Murta

Honors Projects

The purpose of this action research study is to explore the connections between students’ ability to engage in metacognitive methods, their understanding of mathematical content, and their mathematical performance. By having a group of students engage in a lesson about metacognition and a mathematical modeling problem then comparing their test scores to that of a control group a correlation can be found to analyze the effects of metacognition methods in a mathematics classroom.

Teacher Perceptions Of The Impact Of Vertical Non-Permanent Surfaces In Mathematics Classrooms, Michelle Mikes

Ed.D. Dissertations

The historical, traditional mathematics classroom of students sitting in rows receiving information from the teacher and working individually was still prevalent in the 21st century. Many teachers had resorted to student-centered activities to engage passive students, but the minimal progress of math achievement of United States students denoted a need for the reform of the traditional mathematics classroom. In this multi-site, multi-case qualitative study, I explored teacher perceptions of the use of vertical non-permanent surfaces on the impact of engagement, including the use of formative assessment and feedback with mathematics students, and the lesson structure of 360 Degree Math. The …

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 …

Teaching And Learning Of Fluid Mechanics, Ashwin Vaidya

Department of Mathematics Faculty Scholarship and Creative Works

Fluid mechanics occupies a privileged position in the sciences; it is taught in various science departments including physics, mathematics, environmental sciences and mechanical, chemical and civil engineering, with each highlighting a different aspect or interpretation of the foundation and applications of fluids. Doll’s fluid analogy [5] for this idea is especially relevant to this issue: “Emergence of creativity from complex flow of knowledge—example of Benard convection pattern as an analogy—dissipation or dispersal of knowledge (complex knowledge) results in emergent structures, i.e., creativity which in the context of education should be thought of as a unique way to arrange information so …

Tackling Maths Anxiety, Divya Kapoor

Teacher India

Maths anxiety is one of the leading causes of poor performance in maths. Divya Kapoor discusses simple instructional strategies to help teachers support students suffering from maths anxiety.

Creating Project-Based Math Curricula: A Narrative Inquiry, Marcie Hull

West Chester University Doctoral Projects

This study is a narrative inquiry about the participant’s experiences, in three individual case studies, involving teachers of high school mathematics engaged in the creation of a project-based learning curriculum, in a one-to-one laptop school. The researcher analyzed data from field notes, digital artifacts, and teacher interviews to document how math teachers are creating curriculum in an inquiry-driven, project-based, technology-infused instructional model. Findings from restorying and the analysis of three-dimensional space —regarding teacher lore —reveal themes about math teacher curriculum conflicts in skill-building, application of iterative design thinking, and structures inherent to project-based learning. Rich, thick description of the cases, …

Characteristics Of Critical Friendship That Transform Professional Identity, Signe E. Kastberg, Melva R. Grant

Teaching & Learning Faculty Publications

We met at CASTLE 2018, two trained mathematics teacher educators (MTEs), interested in mathematics, and teaching elementary mathematics methods to preservice teachers (PTs). Melva’s self-study research, focused on improving her online methods course, was approaching its second year and her second critical friend had lost interest in continuing. Melva invited Signe to be her critical friend (Schuck & Russell, 2005) and Signe agreed. Explicit expectations of our critical friendship included weekly meetings. Our critical friendship seemed to follow an expected trajectory for, “supporting/coaching the transformation of another’s teaching” (Stolle, et al., 2019, p. 20). However, there were implicit ways our …

Primary School Teachers’ Experience Of Mathematics Education: A Phenomenological Study, Sarah Jane Tamburri

Theses: Doctorates and Masters

Researchers and policymakers agree that all children can learn mathematics, and research has shown that teaching practices have a significant impact on student learning and achievement. Therefore, it is important that teachers are supported in their development as professionals and mathematics educators. This research gives a voice to a small number of primary school mathematics teachers, providing insight into their experience of mathematics education, from their perspective. In-depth interviews form the basis of data collection and these have been analysed through a transcendental phenomenological approach. The insights gained into teachers’ experiences and perspectives provide a deeper understanding of their role …

Reflection On Use Of The "Reacting To The Past" Pedagogy In A History Of Mathematics Course, Davida Fischman

Q2S Enhancing Pedagogy

This brief report provides a reflection on the use of the "Reacting to the Past" (RTTP) pedagogy in a History of Mathematics classroom. The conclusion is drawn that the RTTP pedagogy is very successful in engaging students in active learning, and appropriate games may be utilized to help students learn about the role of mathematics in historical developments as well as in society today.