Science and Mathematics Education Commons^™

The Impact Of Frayer Models In A Mathematics Classroom, Makenna Geise

Honors Projects

The purpose of this action research study was to explore the impact that Frayer Models have on students’ attitudes towards mathematics. I conducted a two-week unit on transformations, where students were introduced to a classroom focused on academic language, supplementing their learning with Frayer Models for homework and in-class assessments. I assessed their attitudes towards mathematics before and after the use of the Frayer Models, where I analyzed the effect that the Frayer Models had on the students and their use of academic language. It was evident that most of the students’ found the focus on academic language beneficial to …

Agricultural Education And Mathematics Performance Among Secondary Students, Susan W. Githua, John C. Ricketts

Online Journal for Workforce Education and Development

The purpose of this study was to determine the effects of agricultural education, FFA involvement, and SAE participation on the mathematics performance of secondary students. The study explored these factors using an ex post facto research design. Respondents in the study were secondary students enrolled in Agricultural Education program (N=80) and non-agricultural education students (N=59). Results revealed that agricultural education students had a higher mathematics mean score (M=12.15, SD=4.61) than non-agricultural education students (M=10.67, SD=3.63). There were positive statistically significant differences between mathematics performance of the students and their FFA involvement as well as SAE participation.

Parts Of The Whole: The Having Of Wonderful Ideas: Eleanor Duckworth Introduces Us To Piaget, Dorothy Wallace

Numeracy

The small book of essays by Eleanor Duckworth has been a staple of teacher education for decades, serving as a bridge between Piaget’s observations of infants and the needs of the classroom. As her examples tend to be of young children, we consider more general ideas in the context of older grades and higher education. Several of her insights are discussed with an eye to application in the field of quantitative education, highlighting the need to integrate issues of pedagogy with those of content.

Recruitment Of Science And Mathematics Teachers: Analysis Of Findings From Three Years Efforts Of A Recruitment Program, Kadir Demir, Tugce Gul, Charlene Czerniak

Faculty Bibliography

No abstract provided.

First Grade Educators' Perceptions Of Their Confidence To Integrate The West Virginia Mathematical Habits Of Mind Into Classroom Practices, Monica Lynn Dellamea

Theses, Dissertations and Capstones

Mathematical proficiency during the early years is directly linked to later success in life, both regarding academics and economics. First grade educators must have the knowledge and skills to integrate the West Virginia Mathematical Habits of Mind (WV MHM) into their existing classroom instructional practices to help establish strong foundations for mathematical learning and thinking early on in children’s lives. This study investigated first grade educators’ perceptions of their confidence with integration of the WV MHM into their classroom instructional practices. Barriers to and supports for implementation, as well as educator demographics, were examined to determine any effect they may …

Math Department 2019-2020 Newsletter, Mathematics Department

Mathematics Newsletter

Welcome to our annual Mathematics Department Newsletter. This was an unusual year for our department as the coronavirus cut short our time on campus this year. Hence we were unable to have our usual events such as the Annual Mathematics Lecture, the Pi Mu Epsilon Induction and Awards Night, and there was no in-person commencement ceremony. But despite that, many great things happened in our department.

Good Teachers Borrow, Great Teachers Steal: A Case Study In Borrowing For A Teaching Project, Mike May, Rebecca Segal, Victor Piercey, Tao Chen

Publications and Research

Very few great ideas in teaching are without ancestors or descendants. This paper presents a case study in how one particular pedagogical project, the work at Saint Louis University as part of the National Science Foundation supported SUMMIT-P consortium, borrowed from other sources. The particular project was an interdisciplinary collaboration to make mathematics education more effective for business students. The various borrowings are treated in roughly chronological order from initial inspiration through planned adoption and adaptation of the work of others to the addition of features that only became available mid-project. The kinds of sources include a particular business calculus …

Teacher-Perceived Barriers To Math Achievement And Implementation Of Literature-Based Recommendations For Change In Math Instruction In Grades 4 Through 8, Kimberly Summey

Ed.D. Dissertations

The purpose of this research was to identify teachers’ perceptions of barriers to math achievement below Grade 10, if any, to determine which, if any, of the identified barriers teachers reported, and to determine which, if any, previous recommendations for positive changes in mathematics classrooms teachers reported, as well as identify any teacher reports of resistance to change. I conducted research on 19 participants by collecting questionnaires online due to the COVID-19 pandemic. Participants were teachers of mathematics from Grade 4 through Grade 8. I compared participants’ responses to literature-based components using predetermined coding along with emergent coding to identify …

Teacher Perception Of Inquiry-Based Teaching In Mathematics In Early Childhood, Nadim Farooqi

CUP Ed.D. Dissertations

Inquiry-based instruction has been pivotal in transforming classrooms into engaging student-centered learning environments. Utilizing inquiry-based instruction in mathematics in early childhood can help build a strong foundation in mathematics. This qualitative study examined the perceptions of teachers and administrators on inquiry-based instruction in early childhood mathematics. This study was guided by three research questions. This study took place at two public schools in NYC. Data was collected through a preinterview survey and interviews. The participants included nine teachers and three administrators. During the analysis process five themes were revealed: professional development, planning and preparation, student engagement, building foundational skills, and …

Rural Elementary Educator Perceptions About Mathematics Instructional Resources And Strategies, Kristina Gabrielle Anderson

Walden Dissertations and Doctoral Studies

An increasing number of students in a rural elementary school have not met the mathematics proficiency benchmark. Despite these changes made to mathematic curriculum and instruction, student data continued to indicate an increasing number of students in Grades 3–6 had not met the mathematics proficiency standard. The purpose of this study was to investigate perceptions of elementary mathematics teachers in Grades 3–6 and administrators regarding instructional resources, strategies used to teach mathematics, and professional development for teaching mathematics. Archer and Hughes’ concept of explicit instruction formed the conceptual framework that guided this study. The research questions for this study addressed …

Scottish National Assessments: National Report For Academic Year 2018 To 2019, Australian Council For Educational Research (Acer)

Assessment and Reporting

No abstract provided.

Use Of Calculators In High School Mathematics, Alex Mcdaniel

Williams Honors College, Honors Research Projects

For many collegiate level mathematics courses at universities across the country, students are not allowed to use calculators. This is often a huge adjustment for students who have spent their entire high school career using calculators. Whether it is graphing or simple arithmetic, students relied on calculators in high school, but for college, the tool of a calculator may not be available for them. This leads to a multitude of questions: Should calculators be used in high school? Do calculators help students learn or are they simply a tool to get answers? Are calculators beneficial in some courses, but not …

Third Grade Math Teachers’ Perceptions Of Their Preparedness To Teach The Standards For The Staar Math Test, Diana L. Everman

Walden Dissertations and Doctoral Studies

Teacher professional development (PD) is acknowledged as an effective approach for changing teachers’ beliefs, practices, and behaviors to raise student academic achievement. A rural school district identified that 3rd grade math teachers felt inadequately prepared to teach the College and Career Readiness and Academic Standards (CCRS) standards for the state math assessment (STAAR). The purpose of this basic qualitative study was to explore third grade math teachers’ perceptions of their preparedness to meet the demands of the new third grade STAAR math test. Vygotsky’s constructivist theory from an adult learning perspective and Bandura’s self-efficacy theory guided the study. The research …

Community College Students' Perceptions Of Developmental Mathematics And Influences On Persistence, Sumithra S. Iyer

Walden Dissertations and Doctoral Studies

The increase in the dropout rates associated with developmental mathematics classes in 1 Texas community college provoked the need for this study. The purpose of this case study was to explore students' reasons for dropping out of developmental mathematics and what might have helped them be successful. Tinto's model of student attrition, which is characterized by students' social and academic integration affecting their retention in the college, provided the conceptual framework for the study. The research questions addressed the students' perceptions of both why they dropped out of developmental mathematics courses and what might have helped them to successfully complete …

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 …

Saudi Mathematics Teachers’ Beliefs And Attitude Towards Teaching Mathematics, Theyab Alhallafi Ghaythah Hamdan

Student Works (2020-2029)

Mathematics is one of the major educational subjects in schools because of its overwhelming relevance and application to human life and progress. Mathematics is central to human development and mastery of the planet earth and beyond particularly in this age of computer and information technology. Teaching Mathematics is an endeavor that dated back three (3) millennia. For centuries, teaching and Mathematics teachers have been subjected to various forms of scholarly investigations. This study examines teachers’ beliefs and attitudes and their impacts on the way they teach the subject of mathematics in their respective schools across the Kingdom of Saudi Arabia. …

Middle-School Mathematics Teachers' Use Of Formative Assessment Data, Shawana T. Green

Walden Dissertations and Doctoral Studies

A school district located in the southeastern United States uses benchmark tests as formative assessment to provide teachers with data to differentiate their instruction to meet the individual needs of students in their classrooms. Despite this effort, student achievement in mathematics in this school district has not improved. The purpose of this study was to gain an understanding of how middle-grade mathematics teachers used the benchmark results as formative data to guide instruction and meet student needs. The conceptual framework that grounded this study was the model of formative assessment developed by Black and Wiliam. For this basic qualitative study, …

Preservice Teachers As Document Detectives, Lorna Quinnell, Radha Iyer, Bronwyn Ewing

Australian Journal of Teacher Education

Literacy today relies on a readers’ ability to analyse text critically. This case study investigated preservice teachers’ critical analysis of media text containing visuals and representations. In particular, the analysis focused on mathematical factors that impact on readers’ interpretation of diverse visuals.

Data was gathered from the 23 preservice teachers, enrolled in the Graduate Diploma program at one Australian university. They participated in a series of mathematics learning sessions focused on the critical analysis of a selection of media items.

The paper argues that the ability to critically analyse graphs and visuals relies on mathematical knowledge and that the ability …

Problem-Solving Ability Of Primary School Teachers Based On Polya's Method In Mataram City, Mohammad Archi Maulyda, Vivi Rachmatul Hidayati, Awal Nur Khalifatur Rosyidah, Iva Nurmawanti

PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika

Problem-solving is an important competency that must be owned by students. Problem-solving skills can facilitate students in understanding, connecting, and using mathematical concepts. Even so, mistakes in solving mathematical problems are still made by students. One reason is the lack of habituation of problem-solving in learning mathematics. Teachers who have good problem-solving skills will find it easier to teach and do an activity about problem-solving in learning mathematics. The purpose of this study is to describe the problem-solving ability of primary school teachers based on Polya's method. This research method is descriptive-qualitative. The research subjects were primary mathematics teachers who …

Supporting Middle School Students In Tier 2 Math Labs: Instructional Strategies, Emily C. Bouck, Jiyoon Park, Mary Bouck, Jim Alspaugh, Stacey Spitzley, Angela Buckland

Current Issues in Middle Level Education

Response to Intervention (RtI) has become a common support system for students; yet, no universal RtI model exists, especially for mathematics and specifically at the middle school level. This article focuses on a specific model for delivering Tier 2 mathematics supports and services at the middle school level: math labs. Evidence–based and research–supported interventions are discussed that support the delivery of Tier 2 services within a middle school math lab RtI structure. A fictionalized vignette, drawing from multiple actual cases, is presented to highlight the use of a Tier 2 math lab within a middle school setting.

Observations Of A Multi-Component Intervention For Elementary Students With Emotional Behavioral Disorder After Self-Efficacy Coaching, Anna Kristen Bensinger

Graduate Theses and Dissertations

Students with Emotional and Behavioral Disorders (EBD) experience more negative student outcomes compared to other special education disability categories, specifically, higher dropout rates, less access to higher education and incarceration. Mathematically, 73% of students with EBD achieve below the 50th percentile on standardized tests (Wagner, Kutash, Duchnowski, Epstein, & Sumi, 2005). This study focused on the exploration of a multi-component mathematics and behavior intervention targeting student self-efficacy for productive learning behaviors in the general education mathematics classroom setting for elementary students with EBD. Participants for this study were students from two 4th grade classrooms, who have been identified with co-occurring …

Effects Of Cross-Age Tutors With Ebd For Kindergarteners At Risk Of Mathematics Difficulties, Gavin W. Watts, Diane Pedrotty Bryant, Garrett J. Roberts

Special Education Faculty Publications (Archived)

Challenges with numerical proficiency at an early age can lead to substantial gaps in learning and are associated with detrimental long-term outcomes. In addition, students with emotional–behavioral disorders (EBD) can have some of the most challenging behavioral and academic needs to address. The purpose of this study was to identify the effects and collateral outcomes of utilizing cross-age tutors (i.e., older students) with/at risk of EBD to deliver a number line board game intervention to kindergarten students at risk of mathematics disabilities. A multiple baseline design across participants was utilized to evaluate the following research questions: (a) What are the …

Student Perceptions Of Learning Introductory Mathematics In An Online Environment In Higher Education, Jamie Lynn Brooks

Doctoral Dissertations and Projects

The purpose of this transcendental phenomenological study was to describe the essence of student perception of learning introductory mathematics courses in an online environment at the college level. The central research question was, “What are the lived experiences of students who have completed introductory college mathematics courses in the online learning environment?” The phenomenon described was that of the beliefs and attitudes of the students who participated in introductory mathematics courses on the college level. The ideas explored were if students believe they learn effectively in this environment and how they believe they can best learn. Student beliefs and attitudes …

Let’S Talk: An Examination Of Parental Involvement As A Predictor Of Stem Achievement In Math For High School Girls, Nicol R. Howard, Keith E. Howard, Randy T. Busse, Christine Hunt

Education Faculty Articles and Research

This research was conducted to examine the influence of parental involvement, in the form of parent conversations, on mathematics achievement for high school girls. Data from the High School Longitudinal Study of 2009 (HSLS:09) public-use file provided a sample of 13,694 students, including 6,592 girls for our analyses. A scale for measuring parent conversations was developed and regression analyses were conducted to examine whether this scale variable predicted mathematics achievement. Results indicated that conversational parental involvement was a significant predictor of mathematics achievement for Black and White girls, but not Hispanic and Asian. Implications for research and policy initiatives are …

Elementary School Student Development Of Stem Attitudes And Perceived Learning In A Stem Integrated Robotics Curriculum, Yu-Hui Ching, Dazhi Yang, Sasha Wang, Youngkyun Baek, Steve Swanson, Bhaskar Chittoori

Educational Technology Faculty Publications and Presentations

Robotics has been advocated as an emerging approach to engaging K-12 students in learning science, technology, engineering, and mathematics (STEM). This study examined the impacts of a project-based STEM integrated robotics curriculum on elementary school students’ attitudes toward STEM and perceived learning in an afterschool setting. Three elementary school teachers and 18 fourth to sixth graders participated in an eight-week-long program. Quantitative and qualitative data were collected and analyzed, and showed students’ attitudes toward math improved significantly at the end of the robotics curriculum. Three specific areas of learning were identified, including STEM content learning and connection, engagement and perseverance, …

Stem Opportunities - High School 2019, Huey-Xian Kelly Wong, Madeleine Rauhauser, Annie Morgan Nelson

Honors Program: Expanded Learning Clubs

This publication details the lesson plan for the “Opportunities in STEM” club for the summer of 2019. This club began out of a desire to educate high school students about the opportunities and careers available in the science, technology, engineering, and mathematics fields. Often, students feel that the prospect of entering a STEM field is daunting and out of their grasp. What it means to be a scientist is often unclear, and students never consider opportunities out of the fear of the unknown, particularly when science is associated with complexity and difficulty. This lesson plan integrates experiments with a wealth …

Predicting Third-Grade Mathematics Achievement: A Longitudinal Investigation Of The Role Of Early Numeracy Skills, Allyson J. Kiss, Gena Nelson, Theodore J. Christ

Early and Special Education Faculty Publications and Presentations

Despite the vast research on the early predictors of mathematics achievement, little research has investigated the predictors of various domains of mathematics (e.g., geometry, statistics). The purpose of the present study was to examine the predictive relationship between first-grade early numeracy and computation skills and third-grade mathematics achievement as measured by a state test. Further, we explored the relations between these measures for students who were Below Proficient and Proficient. Findings suggest that proficiency level matters when examining the relation between mathematics skills. Also, there are different patterns of significant predictors depending on the domain of later mathematics achievement and …

Mathematics Out Of Nothing: Talking About Powerful Mathematical Ideas With Children, Matthew Oldridge

Journal of Humanistic Mathematics

Parents and educators have powerful opportunities to introduce children to big mathematical ideas, when those ideas become necessary. Children are capable and curious. They don’t need to be sheltered from big mathematical ideas. Bring out mathematical ideas when kids are ready, or when they are needed. This article describes one such instance, when I helped my six-year-old son move beyond zero in the negative direction when subtracting.

Improvirg Mathematical Ability In The United States, Emma Winegar

Augsburg Honors Review

The United States has a deficit in the abilities of its citizens to comprehend mathematics, as compared with similar countries. Many people experience math anxiety, and in turn hate mathematics and shy away from it at all costs. Problems with the current curriculum and teaching styles in schools limit students from being successful in mathematics. Improving mathematical ability will not only lessen anxiety, but will improve society as a whole. Mathematics is crucial to survival in modern day society. It is important that the issue of the overall low level of mathematical proficiency in the U.S. be solved. This paper …

Comparing Nebraskan And Finnish Education Policy And Its Impacts On Mathematics Teaching, Elizabeth Tyler

Honors Program: Senior Projects (Public)

For two decades, Finland has been in the education spotlight as they consistently receive high international exam scores while spending less money, less time teaching, and putting students through fewer hours of school. This study aims to investigate the related policy that may help explain these seemingly paradoxical findings in the education sector. More specifically, this study examines how related policy impacts math teachers in their day to day work. This research includes an extensive literature review that explores several facets of the education system in both Nebraska and Finland in order to better understand existing policies. This background is …