Education Commons^™

Gizmos Computer Simulations In The Mathematics Classroom, Bethany L. Inman

Morehead State Theses and Dissertations

A capstone submitted in partial fulfillment of the requirements for the degree of Doctor of Education in the College of Education at Morehead State University by Bethany L. Inman on December 6, 2018

Euclidian Geometry: Proposed Lesson Plans To Teach Throughout A One Semester Course, Joseph Willert

Mathematics Undergraduate Theses

Overview We provide several engaging lesson plans that would aid in the teaching of geometry, specifically targeting Euclidian Geometry, towards students of high school age. The audience of this piece would be high school or college students who have not yet had an introduction to geometry, but have completed the standard mathematical courses leading up to this point (i.e. algebra, elementary math, etc.). This being the case the lessons and concepts realized in Chapter 1 target a basic understanding of what Euclidian Geometry is and the subsequent chapters aim specifically at underlying properties of a geometry. The main source of …

The Effects Of Metacognitive Training On Algebra Students’ Calibration Accuracy, Achievement, And Mathematical Literacy, Deana J. Ford

Teaching & Learning Theses & Dissertations

This dissertation describes an empirical study that investigated how metacognitive training influenced lower achieving Algebra students’ calibration accuracy, achievement, and development of mathematics literacy. Multiple methods were used to collect and analyze the data. Close analysis of students’ work and classroom observations revealed that students that were exposed to the metacognitive training had significantly higher prediction accuracy and made gains in their understanding of the mathematics word problems than did students who did not receive the metacognitive training. Overall, however, both the intervention and comparison groups improved in their academic performance and became more mathematically literate and accurate in their …

The Bellringer Sequence: Investigating What And How Preservice Mathematics Teachers Learn Through Pedagogies Of Enactment, Mary A. Ochieng

Dissertations

This study examines preservice teacher learning through pedagogies of enactment—approaches to teacher education that allow preservice teachers to learn by doing what teachers do. Preservice teacher (PST) learning is examined through the implementation of the Bellringer Sequence (BRS), a pedagogy of enactment conceptualized in the study. The BRS is centered around bellringers—brief mathematical tasks implemented as students arrive for class. The BRS is a sequence of four activities centered on a bellringer: preparation (for teaching a bellringer) implementation (of the bellringer with peers), debriefing (discussing the implementation as colleagues), and written reflection (about the effectiveness of the bellringer).

Practice-based approaches …

Developmental Mathematics: A Quantitative Investigation Of Instructor Classification As Related To Student Success, Brittany A. Fish

Electronic Theses and Dissertations

The purpose of this quantitative study was to examine what type of predictive power exists between an instructor’s employment classification, student gender, student race, and first-generation status on a student’s academic success in developmental mathematics, as measured by final semester grades at a regionally comprehensive state university in Texas between fall 2013 and spring 2017. Data were collected from the institution under study and the sample population included 1932 unique student observations. The data collected in this study were analyzed through a binary logistic regression model to determine whether an instructor’s employment classification, student gender, student race, and first-generation status …

Learning Logic: A Mixed Methods Study To Examine The Effects Of Context Ordering On Reasoning About Conditionals, Christina W. Lommatsch

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

Logical statements are prevalent in mathematics, the sciences, law, and many areas of everyday life. The most common logical statements are conditionals, which have the form “If H..., then C...,” where “H” is a hypothesis (or condition) to be satisfied and “C” is a conclusion to follow. Reasoning about conditionals is a skill that is only superficially understood by most individuals and depends on four main conditional contexts (e.g., intuitive, abstract, symbolic, or counterintuitive). The purpose of this study was to test a theory about the effects of context ordering on reasoning about conditionals. To test the theory, the researcher …

The Effectiveness Of The Co-Requisite Model In Preparing College Students For Math Courses, Shauna Mullins

Murray State Theses and Dissertations

Some form of academic support for underprepared students at the post-secondary level has been around since the 17^th century. This academic support has had several names such as tutoring, remediation and developmental education. With the growing need for academic support at the post-secondary level, universities are developing various ways to provide support to their students.

The focus of this study was the Co-requisite Model, particularly within Murray State University’s mathematics courses. Following IRB approval, archival data from undergraduate students were collected over three semesters in College Algebra and one semester in Mathematical Concepts courses. The pass rates of students …

Self Regulation In College-Level Mathematics Classes, Jenny Lee

HMC Senior Theses

This thesis investigates the need for improvement in mathematics education at the college level in the US regarding equitable practices in instruction. In particular, it focuses on understanding the role self-regulation can play in the classroom dynamics, and how self-regulation can be a way to empower students. Also included is a case study in an introductory linear algebra class at a liberal arts college and is meant to provide a investigation into a way of incorporating self-regulation by using self-paced assessments. Results of this study suggest a possible question to consider in reforming mathematics education for a more equitable environment …

Students’ Interpretations Of Categorical Data Using Dynamic Graphical Representations, Adam Eide

Master's Theses and Doctoral Dissertations

Statistical association is an important concept in statistics. An exploratory study examined how students reason about statistical association utilizing graphical representations constructed with CODAP, a dynamic statistical graphing software. Task-based interviews were conducted with three 6th grade students prior to formal instruction. Students’ conceptions of a statistical relationship, proportional reasoning skill level, ability to interpret bivariate categorical graphs (particularly segmented bar graphs and two-way binned plots), and ability to identify association of two categorical variables were all investigated through interview tasks and responses to inquiry. Students were found to have developing proportional reasoning skills and struggled to correctly define and …

Influence Of Reading Proficiency On Placement And Success In Online Developmental Mathematics, Diane Marie Stryk

Walden Dissertations and Doctoral Studies

Community college leaders have spent years trying to improve success rates for students in developmental mathematics (DM) courses, but with little progress. This quantitative study, using a pre-experimental static-group research design, examined if a change in a community college district's policy and practices for student placement into DM courses could improve student success in online DM courses. Bounded rationality theory provided the lens to view how students' decision making is influenced by the lack of timely and appropriate information during the placement process. The study addressed whether a composite placement score, the result of combining the ACCUPLACER placement scores for …

Launch-Explore-Summarize In High School Calculus, Nate Mattis

Honors Theses

Current research on high school calculus instruction indicates that students often possess a procedural knowledge of differentiation and integration as opposed to a conceptual knowledge (Orton, 1983; Ferrini-Mundy & Graham, 1994). Given the prominence of traditional lecture and textbook-based calculus classes in the United States, students are not always given the opportunity to expand their conceptual knowledge of essential calculus concepts. This project introduces calculus students to a more active and communal method of teaching: Launch-Explore-Summarize (LES) (CMP, n.d.). This methodology places students at the center of their learning and emphasizes inquiry-based thinking during a class. Specifically, two LES lessons …

Teacher Perceptions Of Professional Learning Communities' Impact On Math Critical Thinking Pedagogy, Elizabeth Ann Daly

Walden Dissertations and Doctoral Studies

U.S. educational leaders struggle with declining mathematics achievement among students as compared to other countries. The problem for this study was low standardized mathematics scores in one district in a major city in the Southwestern United States. The purpose of this sequential explanatory mixed method project study was to analyze the effectiveness of professional learning communities (PLCs) on the mathematics critical thinking pedagogy among teachers in 2 elementary schools. The conceptual framework focused on work by Olivier, Hipp, Huffman, and Hord on the efficacy of PLCs for improving teacher pedagogy. Research questions addressed in this study were designed to explore …

Non-Science, Technology, Engineering, Mathematics Teachers' Efficacy For Integrating Mathematics Across The Curriculum, Sandra Charlene Burrell

Walden Dissertations and Doctoral Studies

The problem at a local science, technology, engineering, mathematics (STEM) charter high school in this study, was that non-STEM teachers lacked the self-efficacy and background knowledge to integrate mathematics into their content-specific instructional activities. The goal of this study was to explore non-STEM teachers' self-efficacy for integrating mathematics across the STEM charter high school's curriculum. The conceptual framework of self-efficacy informed the study. A case study research design was chosen to develop an in-depth understanding of the problem. . Twelve of the 16 local school's non-STEM teachers agreed to participate in the study. Personal interviews were conducted to access non-STEM …