Education Commons^™

Pre-Calculus: Thinking Deeply About Simple Things, Jacob Carter

Graduate Research Showcase

“Pre-Calculus: Thinking Deeply About Simple Things” is a research-based creative endeavor focused on designing a high-school pre-calculus 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 real-life situations. This course also integrates social-emotional learning to create an engaging and supportive learning environment for all students. By combining Peter Liljedahl’s “Building Thinking Classroom in Mathematics” approach with problem-based learning, the course …

A Collection Of Calculus Lesson Plans: Deriving The 'Why' Behind Derivatives, Kasey Brabec

Honors Theses

The traditional mathematics classroom is led with a focus on procedural understanding, with deep conceptual understanding considered to be unimportant or too difficult to teach within the allotted time. Both levels of understanding are important mathematical competencies, as it is rare for either of them to function well without accessibility to the other. The disparity between conceptual understanding and procedural understanding in the mathematics classroom is no larger than in courses like Calculus. This project is a collection of fifteen lesson plans constructed with an emphasis on conceptual understanding and the connectivity of Calculus. Each lesson plan’s overview contains the …

The Effects Of Computer-Assisted Instruction On Student Learning Of Fractions In Middle School Mathematics, Rebecca Love Palculict

Doctoral Dissertations and Projects

In today’s increasingly technologically-driven classroom, exploring whether computer-assisted instruction ensures students gain critical mathematic skills is an important area of study. The purpose of this study was to explore the effect of computer-assisted instruction in learning manipulation of fractions. This study used archival data collected in August 2021 (pre-test) and January 2022 (post-test). Sixty-nine fifth-grade students in a middle school in rural Mississippi were participants in the study. This quantitative quasi-experimental pre-test/post-test control group design analyzed data from the i-Ready diagnostic using an Analysis of Covariance. Results indicated a significant difference between the post-test scores of students who received interventions …

Teachers' Experiences In Implementing Technology-Rich Curriculum For Student Achievement: A Phenomenological Study, Dorrothe Jean

Doctoral Dissertations and Projects

The purpose of this phenomenological study is to describe how premillennial teachers at East Orange Public School (EOPS, a pseudonym) respond to technology-rich curriculum. Twelve elementary school premillennial teachers will participate in the study focused on one central research question and three sub-questions: (a) What is the lived experience of elementary teachers implementing technology-rich mathematics curriculum? (b)How do elementary school teachers perceive their preparedness for teaching in a classroom where technology-rich math curriculum has been implemented? (c)How do elementary school teachers describe their transitions from a premillennial curriculum to a millennial curriculum where it has been implemented? (d) How do …

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. …

Efficient Assessment Of Students’ Proportional Reasoning, Michele Carney, Katie Paulding, Joe Champion

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

Teachers need ways to efficiently assess students’ cognitive understanding. One promising approach involves easily adapted and administered item types that yield quantitative scores that can be interpreted in terms of whether or not students likely possess key understandings. This study illustrates an approach to analyzing response process validity evidence from item types for assessing two important aspects of proportional reasoning. Data include results from an interview protocol used with 33 middle school students to compare their responses to prototypical item types to their conceptions of composed unit and multiplicative comparison. The findings provide validity evidence in support of the score …

International School Elementary Educators' Transition To A Revised Mathematics Curriculum: A Case Study, Christine H. Saba

Doctoral Dissertations and Projects

The purpose of this single instrumental case study was to research how teachers at an organization of international schools transitioned to using a revised mathematics curriculum to understand how to replicate or improve the process for success in the implementation phase in the future. The guiding theories for this research were Schlossberg’s (1981) transition theory, as the aim of the study was to research teachers in a time of transition, and Kolb’s (1984) experiential learning theory, as teachers worked through the cycle of experiencing, reflecting, thinking, and acting. Data was collected through interviews, focus groups, and journaling. The site was …

Factors Impacting Students’ Perceptions Of Mathematics, Amber Souza

Honors Program Theses and Projects

I want to be able to present math in a positive light to all of my future students, regardless of race, gender, and math background. However, for teachers as a whole to be able to take this important step, they must first develop a deeper understanding of why math is a sore spot for many students.

Mathematics Anxiety: Supplementary Materials, Sarah Buckley

Student learning processes

This publication contains two professional development activities for teachers which focus on mathematics anxiety. One is a team-based activity and the other is an activity for individuals. The activities encourage both mathematics teachers and non-mathematics teachers to reflect on their current practice, their attitudes towards mathematics, their ideas about teaching mathematics and the mathematical beliefs of students.

Covid-19 Growth Rate, 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.

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.

Covid-19 Growth Rate / Teacher Notes, Patrick Young

ISBE Transitional Math Curriculum: STEM Pathway

No abstract provided.

Teaching And Learning Of Fluid Mechanics, Ashwin Vaidya

Department of Mathematics Facuty 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.

Instructional Coaching And Effective Mathematics Teaching Practices, Hillary J. Gingerich

Master's Theses & Capstone Projects

This classroom action research project compares the impact of instructional coaching with the focus on effective mathematics teaching strategies as outlined by the National Council of Teachers of Mathematics in the text Principles to Action. Two 3rd grade classrooms were studied with one being a control classroom and the other whose teacher enrolled in a 6-week coaching cycle focusing on student centered goals around two effective mathematics teaching practices. Those effective mathematics teaching practices are posing purposeful questions and facilitating meaningful mathematics discourse. A pretest and posttest from FastBridge’s MCAP was used to determine the growth over the 6-week study …

Stem On A Budget 2.0: A Basic Guide For Teaching Stem In Ops Afterschool Programs, Tyrome Williams

Criss Library Faculty Publications

This guide was written with the goal of providing a rough lesson plan, which could act as a supplemental guide for sustainable activities in order to better serve their students and children in the Omaha area. The STEM lessons I chose in this guide are engaging, hold educational value, and are cost effective if used properly. This book contains valuable information to supplement STEM learning. Whether you’re a teacher, instructor, supervisor for children, or a substitute; you will always be the most valuable asset in your classroom. This is a free use document and should not be sold for any …

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 …

The Role Of Number Writing In Early Math Readiness, Giselle Hernandez

FIU Electronic Theses and Dissertations

The purpose of this study was to understand how number writing in a class of low-income, pre-kindergarten children (N = 15) developed over the course of a school year, and to see what role that development played in their overall math readiness. This study used a mixed-methods approach. The target class was explicitly taught number writing as part of an early math intervention. Scores on a number writing inventory, and two math readiness assessments (Number Knowledge assessment, State of Florida VPK Assessment) were compared at the end of the year, both within the intervention group, and with a matched …

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

Honors 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 …

The Differences In Mathematics Self-Efficacy Scores Between Military Dependent Students And General Population Students, Jeffrey Thomas Harris

Doctoral Dissertations and Projects

The United States has now been engaged in war for fourteen years, the longest war in American history. A war like this has created an atmosphere of extended deployments for members of the military resulting in separation from their family. Deployments can affect many areas of family life, and the child’s academics is one such area. A student’s success often depends on his/her confidence, or “self-efficacy”, in academics. This can be affected by the inconsistencies of military life, such as constantly moving and transferring schools, which can shake that confidence causing him or her to struggle academically. The purpose of …

Perceived Teaching Style And Academic Growth In An International School Setting, Jamie Elizabeth Martin

Dissertations

The presence of international schools has grown significantly around the world to accommodate a growing need for academic instruction that differs from that provided in local schools and to meet the rapid demands of globalization. As demands for international schools increase, demands for student performance are also increasing.

This quantitative correlational study seeks to determine if correlations exist between teaching style and student academic growth in mathematics within an international school setting. The study also determines if a dominant teaching style exists and if correlations between teacher grade level and teaching style can be made among international teachers who teach …

Corequisite Mathematics Remediation: Results Over Time And In Different Contexts, Alexandra W. Logue, Daniel Douglas, Mari Watanabe-Rose

Publications and Research

Traditional mathematics remediation is based on the theory that traditional mathematics remedial courses increase students’ subsequent academic performance. However, most students assigned to these courses do not pass them, and thus cannot graduate. An alternative approach, corequisite remediation, assigns students instead to college-level quantitative courses with additional academic support, often aligned to a student’s major. Here we report the longer-term results of a randomized controlled trial comparing corequisite remediation (with statistics) and traditional algebra remediation (297 students per group). The corequisite group not only demonstrated significantly higher quantitative course pass rates, but also success in many other disciplines, as well …

Stem On A Budget: A Basic Guide For Teaching Stem In Ops Afterschool Programs, Tyrome Williams

Criss Library Faculty Publications

This guide was written with the goal of providing a rough lesson plan, which could act as a supplemental guide for sustainable activities at sites in the Omaha area to better serve their students and children. The STEM lessons I chose in this book are engaging, hold education value, and are cost effective if used properly. This book contains valuable information to supplement STEM learning. Whether you’re a teacher, instructor, supervisor for children, or a substitute; you will always be the most valuable asset in your classroom. This is a free use document and should not be sold for any …

The Impact Of Computer-Based Programs On Middle School Math Achievement, Kenyatta Gilmore

Doctoral Dissertations and Projects

The purpose of this correlation research study was to investigate the impact of computer-based learning on middle school math achievement of at-risk students. The participants for this study were drawn from a convenience sample of 83 middle school students located in southeastern Georgia. At-risk middle school students were achieving below their grade equivalent and failing to meet local and state proficiency standards. Computer-based instruction was implemented as an intervention to increase student achievement in mathematics. The study used a pretest-posttest control group design and used SPSS software to conduct the statistical analyses using an ANCOVA and t-test. The results indicated …

The Impact Of Teachers With Differing Levels Of Degree Attainment On Student Performance In Mathematics, Marie Call

Doctoral Dissertations and Projects

The No Child Left Behind (NCLB) Act states that in order for K-12 teachers to be considered “highly qualified” they must obtain at least a bachelor’s degree. However, research shows that the vast majority of states compensate teachers more highly for obtaining graduate degrees. The purpose of this study was to determine whether there is a difference in mean scores and/or pass rates of fourth-grade students on the Georgia Milestones End of Grade (EOG) Assessment in Mathematics for teachers with various levels of degree attainment (bachelor’s, master’s, educational specialist, and doctoral degrees). The theoretical framework that this study was rooted …

Developing A Multi-Dimensional Early Elementary Mathematics Screener And Diagnostic Tool: The Primary Mathematics Assessment, Jonathan L. Brendefur, Evelyn S. Johnson, Keith W. Thiede, Sam Strother, Herbert H. Severson

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

There is a critical need to identify primary level students experiencing difficulties in mathematics to provide immediate and targeted instruction that remediates their deficits. However, most early math screening instruments focus only on the concept of number, resulting in inadequate and incomplete information for teachers to design intervention efforts. We propose a mathematics assessment that screens and provides diagnostic information in six domains that are important to building a strong foundation in mathematics. This article describes the conceptual framework and psychometric qualities of a web-based assessment tool, the Primary Math Assessment (PMA). The PMA includes a screener to identify students …

Technologies To Enhance And Extend Children's Understanding Of Geometry: A Configurative Thematic Synthesis Of The Literature, Helen Crompton, Melva R. Grant, Khitam Y. H. Shraim

Teaching & Learning Faculty Publications

Empirical evidence indicates that students are not learning geometry with relational understanding of the concepts. Studies have shown that digital technologies can support students in mathematics. The purpose of this study was to find which technologies and technological affordances are specific to learners of geometry. This paper presents the results of a configurative thematic synthesis of empirical studies and theoretical papers to show that dynamic geometry environments (DGEs: including 3D DGEs) and logobased environments were the main types of technologies used to support geometry learners. The results of this study also reveal that there are five main technological supports provided …

Assessing Teacher Attentiveness To Student Mathematical Thinking, Michele B. Carney, Laurie Cavey, Gwyneth Hughes

Curriculum, Instruction, and Foundational Studies Faculty Publications and Presentations

This article illustrates an argument-based approach to presenting validity evidence for assessment items intended to measure a complex construct. Our focus is developing a measure of teachers’ ability to analyze and respond to students’ mathematical thinking for the purpose of program evaluation. Our validity argument consists of claims addressing connections between our item-development process and the theoretical model for the construct we are trying to measure: attentiveness. Evidence derived from theoretical arguments in conjunction with our multiphased item-development process is used to support the claims, including psychometric evidence of Rasch model fit and category ordering. Taken collectively, the evidence provides …