Education Commons^™

Improving Assessment Outcomes In Algebra And Functions Through Concrete Materials And Direct Instruction, Sandra Deacon, Courtney Pillers

Masters of Arts in Education Action Research Papers

Critical thinking consists of the mental processes, strategies, and representations individuals use to solve problems, make decisions, and learn new concepts. We observed our 6th-year students struggling with algebra functions and problem-solving. These observations motivated us to engage in active research to improve the students' critical thinking and problem-solving skills. We administered interventions that supported the language transfer between traditional mathematical language and Montessori mathematical terms. We utilized direct instruction with concrete algebra materials to lead the students to abstract work in algebra. We also used formal assessments and observations to decide what lessons the students should get next. Our …

Ap Physics Course Enrollments: The Impact Of Middle School Algebra And Physics First, Judi G. Luepke

Dissertations (1934 -)

The position of the United States in the global STEM economy is being challenged by other countries. There is national concern that the STEM pipeline be strengthened to ensure more students pursue STEM degrees and join the STEM workforce. Although it is important to inspire youth in STEM programs, it is also important to provide all students access to the STEM gatekeeper courses of calculus, chemistry, and physics. This study determined if taking algebra in middle school and Physics First impacted AP Physics enrollments in a suburban high school. Taking physics in ninth grade, or Physics First, is part of …

The Impact Of Acceleration In Secondary Math On All Students, James Grover

Theses and Dissertations

Mathematics is a collection of mental practices, attitudes and tools that humans have developed in our quest to understand the world (Singh & Brownwell, 2019). Educators have identified math and reading as the two core subjects that are essential for academic success. Achievement in math is considered to be the one of the most important predictors of economic success (Chazan, 2008). Educational leaders have become increasingly interested in finding the ideal placement for students to gain access to benchmark math curriculum that opens doors for advancement. In a competitive global market, educational and political leaders in the United States have …

Impact Of Interventions On Student Performance Among Eighth Graders In Algebra 1, Tiffany Osborne

All Dissertations

Educational leaders and practitioners face challenges in South Carolina schools, but through improvement science processes (Bryk, Gomez, Grunow, & LeMahieu, 2015), they can collectively develop solutions which directly address those issues. In this Participatory Action Research (PAR) study, I partnered with participants in ongoing Plan-Do-Study-Act (PDSA) cycles (Bryk, et al., 2015) to improve student outcomes. I triangulated multiple data points and corroborated findings with students’ own perceptions to provide evidence that students can achieve in eighth grade Algebra 1 when given the opportunity to enroll in the course and when afforded appropriate ongoing academic interventions that foster conceptual understanding, self-efficacy, …

Effective Interventions For Secondary Students With Disabilities To Be Successful In Mathematics, Garret Atteberry

Culminating Projects in Special Education

This Starred Paper provides article summaries and data of different types of effective math interventions to secondary students with disabilities. This research is broken down into three main interventions: Concrete-Representational-Abstract, Explicit Teaching, and Cognitive Strategies.

An Exploration Of Scaffolding Strategies In A Remedial High School Mathematics Course, Pauline Ofure Aikhuele

Walden Dissertations and Doctoral Studies

In a southeastern state school district, the educators understood little about the scaffolding practices of ninth-grade teachers of Foundations of Algebra (FOA), a remedial course. FOA is a mathematics course designed for students who need substantial help to master the required standards. An increasing number of students in 2 high schools failed FOA; hence, they were not prepared for Algebra 1. The purpose of this qualitative exploratory case study was to explore the scaffolding strategies used by FOA teachers. Bruner's constructivist theory and Vygotsky's zone of proximal development (ZPD) theory were used to guide this study. The research questions addressed …

Outcomes Of A School-Wide Mathematics Intervention, Lisa M. Garrett

Walden Dissertations and Doctoral Studies

In response to students’ poor algebra achievement, Midtown High School, a pseudonym, implemented a school-wide math intervention and enrichment program during the 2014-2015 school year. The purpose of this mixed-methods study was to assess the influence of the intervention on Algebra I and Algebra II end-of-course (EOC) exam achievement scores as well as explore math teachers’ perspectives of the intervention program. The theoretical foundation was constructivism. A consensus sample using archival data from all 419 high school students taking Algebra before the intervention 2013-2014 and after the intervention 2014-2015 and 2015-2016 were used with teacher interviews for triangulation. ANOVA results …

Preparing New Jersey Community College Students For The Mathematics Placement Tests, Charles Edward Haas

Walden Dissertations and Doctoral Studies

Although most new college students had to demonstrate algebraic and basic mathematics mastery to earn a high school diploma or the equivalent, the majority of incoming New Jersey community college students are not showing this knowledge on the mathematics placement tests, thus placing into developmental courses, which must be successfully completed before students can attempt any college-level mathematics courses. Guided by Knowles’ theory of andragogy and developmental mathematics as a core concept, the purpose of this study was to determine ways to help incoming New Jersey community college students prepare for the ACCUPLACER mathematics tests. The research questions addressed testing …

Implementing Technology Enhanced Mathematical Instruction In An Algebra I Course To Increase Students’ Academic Achievement In Mathematics, Carlos Marrero

Theses and Dissertations

In July 2015, the National Council of Teachers of Mathematics established its position about the use of technology in teaching and learning mathematics. This important step forward opened a promise for many students and teachers that deserve the excellence of high-quality education in one of the most difficult educational subjects. In the 21st century, mathematics education can be one of the greatest recipients of all technological benefits reached by the most advanced societies of the earth.

The purpose of this applied dissertation was to measure the effects in mathematics academic achievement of implementing technology-enhanced mathematical instruction to a group of …

The Effect Of Mandating Algebra For All Students In Grade 8 Versus Grade 9 In A Small Suburban K-12 School District In New Jersey, Peter Crawley

Seton Hall University Dissertations and Theses (ETDs)

The traditional sequencing of the ninth- to twelfth-grade math curriculum in the United States has students taking Algebra 1 in the ninth grade, Geometry in the tenth grade, Algebra 2 in the eleventh grade and an optional advanced math course (e.g. pre-calculus, statistics) in the twelfth grade. In this traditional setup, talented math students are given the opportunity to take Algebra 1 in the eighth grade, which allows them to take two or more years of advanced math before graduating from high school. In an effort to create more equitable access to advanced math courses, many districts are considering or …

Exploring The Knowledge Of Algebra For Teaching., Jonathan David Watkins

Electronic Theses and Dissertations

For the past few decades, researchers in mathematics education have been exploring the concept of pedagogical content knowledge (PCK)—or knowledge related to teaching content—and applying it to various areas of mathematics, such as algebra. Research related to teacher knowledge of algebra is critical because researchers (e.g., Hill, Rowan, & Ball, 2005) have found correlations between some types of teacher knowledge and student achievement in mathematics; students from around the world are outperforming U.S. students on international assessments of mathematics, including algebra (Organization for Economic Cooperation and Development, 2014, 2016); and algebra plays an integral role in the K-12 mathematics curriculum …

Relationship Of Supplemental Instruction And Attitude Of Students Enrolled In College Algebra, Kele Anne Mckaig

OTS Master's Level Projects & Papers

The problem of this study was to determine the relationship of supplemental instruction on the attitudes of college algebra students at a Southeastern university. The population for this study consisted of college algebra students enrolled in M102 and M103 courses in the Summer 2018 semester. While M102 and M103 cover the same material, M103 requires mandatory tutoring in addition to the classroom instruction. A survey of these students provided data on their attitudes toward mathematics at the beginning and end of their college algebra course. The first research question of this study asked to what extent attitudes differ, if at …

Teacher Graphing Practices For Linear Functions In A Covariation-Based College Algebra Classroom, Konda Jo Luckau

Theses and Dissertations

Graphing is a fundamental topic in algebra that is notoriously difficult for students. Much of the past research has focused on conceptions and misconceptions. This study extends past research by looking at the mathematical practices of a practitioner, specifically one instructor of a function-based covariation-focused algebra class in the linear functions unit. Considering practices in addition to conception adds dramatically to our understanding of mathematical activity because it leads to explicit descriptions of normative purposes that are connected to particular situations or problems and also specifies how tools and symbols are coordinated to achieve these purposes. The results of this …

The Influence Of Mathematical-Instructional Minutes On The Percentage Of Proficient And Advanced Proficient Scores In Mathematics On The New Jersey Assessment Of Skills And Knowledge For Grades 6-8, Eric Walter Kosek

Seton Hall University Dissertations and Theses (ETDs)

The purpose of this non-experimental, cross-sectional, correlational study was to examine the influence, if any, of mathematical-instructional minutes on academic achievement as measured by the 2014 New Jersey Assessment of Skills and Knowledge (NJ ASK) 6, 7, and 8 mathematics scores. Additionally, the study accounted for other factors that influence student achievement, including selected metrics and variables listed on the 2013-2014 New Jersey School Performance Report. The variable of interest, mathematical-instructional minutes, was obtained via survey from all schools in New Jersey that educated students in Grades 6-8. The survey data were then matched with each responding school’s New Jersey …

Stem Integration: Making Connections In Mathematics And Science By Teaching Logarithms Conceptually, Andrew Smith

(HIDDEN) Doctor of Education in Secondary Education Dissertations

The purpose of this research study was to examine both qualitatively and quantitatively the difference in conceptual understanding of logarithms of students participating in a traditional classroom setting in which a correspondence approach (Confrey & Smith, 1995) was used and students participating in an integrated STEM unit of logarithms and pH in which a covariational approach (Ferrari-Escolá, Martínez-Sierra, & Méndez-Guevara, 2016) was used. In addition, the researcher investigated how students make connections among different representations of logarithms and transferring knowledge between mathematics and science.

A quasi-experimental design was used in which qualitative data were collected using an Observation Protocol and …

Student Centered Approaches In High School Algebra, Jennifer L. Mahan

M.S.Ed. in Educational Leadership Research Projects

This quasi-experimental study evaluated the impact of four, student centered approaches on learning outcomes for high school math students, to determine if algebraic understanding improved in an active learning environment. Specifically, this study investigated high school algebra students’ use of learning stations, hands on manipulatives, small group collaboration and mathematical games, to deepen their conceptual understanding of linear equations. Surveys revealed students prefered to work independently while being led by the teacher, yet this approach yielded the least amount of improvement. Pre- and post-tests showed students from the experimental groups out-performed peers in the control group on achievement of standards …

Influence Of Application-Based Homework On Students Who Struggle In Algebra I, Charles Seipp

Theses and Dissertations

This investigation describes a problem of practice with the academic achievement of students who struggle in Algebra I by means of an action research design. Students regularly struggle academically for a variety of reasons, as described within and are frequently identified as at-risk due to this struggle. This investigation seeks to determine if the utilization of application-based homework serves to increase achievement and student engagement in a course with such significant importance for future success as Algebra I. An example of application-based would be the use of specific content outside of the classroom, such as parabolic functions to model projectile …

A Program Evaluation Of Double-Period Algebra, Jason Major

Dissertations

Students in ninth grade traditionally take algebra courses, but many students come in lacking foundational skills in mathematics. High schools have tried to solve this problem by introducing double-period algebra courses with sporadic results. During this program evaluation, I interviewed an administrator and a teacher from two different high schools about the methods they used to begin and evaluate the program; I found that student-teacher relationships were the most important factor in the effectiveness of the program. Using quantitative data was a good starting point to determine the students who would benefit from the program and who would be successful, …

The Impact Of An Elementary Algebra Course On Student Success In A College-Level Liberal Arts Math Course And Persistence In College, Lori Ann Austin

Theses and Dissertations

Many students enter community college underprepared for college-level math and are placed into developmental elementary algebra without consideration if the algebra will provide a foundation for their needed college-level math course. Large percentages of those students are unable to succeed in the developmental course and, therefore, are unable to graduate (Bahr, 2008; Bailey, Jeong, & Cho, 2010). This quasi-experimental design focused on students who are not in math-intensive majors, needing only a general liberal arts math course. The purpose was to determine the impact of the elementary algebra course on success in college-level math and persistence in college. Student performance …

Secondary Students’ Perceptions Of An Interactive Mathematics Review Program: An Action Research Study, Crystal Burroughs Wingard

Theses and Dissertations

The present action research study describes an Interactive Mathematics Review Program (IMRP) developed by the participant-researcher to enable remedial algebra students to learn in a cooperative classroom with pedagogy that promoted collaboration and hands-on, active learning. Data are comprised of surveys, field notes, semistructured interviews, and focus group insights about the IMRP over an 8-week period in the spring of 2017 at a southern, low-socioeconomic status high school. Findings include: (1) greater comprehension; (2) increased engagement and math-related discussions; (3) increased motivation; (4) egalitarian principles; and (5) high-quality reciprocity. A nine-step action plan designed to enable other math teachers at …

Developing Conceptual Understanding And Procedural Fluency In Algebra For High School Students With Intellectual Disability, Andrew J. Wojcik

Theses and Dissertations

Teaching students with Intellectual Disability (ID) is a relatively new endeavor. Beginning in 2001 with the passage of the No Child Left Behind Act, the general education curriculum integrated algebra across the K-12 curriculum (Kendall, 2011; National Governors Association Center for Best Practices & Council of Chief State School Officers, 2010), and expansion of the curriculum included five intertwined skills (productive disposition, procedural fluency, strategic competence, adaptive reasoning, and conceptual understanding) (Kilpatrick, Swafford, & Findell, 2001). Researchers are just beginning to explore the potential of students with ID with algebra (Browder, Spooner, Ahlgrim-Delzell, Harris & Wakeman, 2008; Creech-Galloway, Collins, Knight, …

A Matter Of Time: The Relationship Of Class Length And Demographics On The South Carolina Algebra I End-Of-Course Test In South Carolina Middle Schools, Jennifer Addie Ramsey

Education Dissertations and Projects

For middle school students taking Algebra 1 as a high school credit, having sufficient instructional time to understand and explore the course content is crucial. While the focus of the literature review helps lend understanding to the study, there has been limited information concerning assessment scores in middle school math classes and the length of class time. This study investigated the differences in the End-of-Course Examination Program (EOCEP) test scores of middle school students in Algebra 1 as influenced by schedules used in South Carolina public middle schools for each individual year in a 5-year span of the 2010-2015 academic …

Motivation For Mathematics: The Development And Initial Validation Of An Abbreviated Instrument, Kenneth Lee Butler

USF Tampa Graduate Theses and Dissertations

This study outlines the development and initial validation of an abbreviated instrument intended to measure motivation for mathematics of university students in developmental algebra courses. I look across many of the predominant theories on motivation with the aim of representing several of these theories as latent constructs in a single instrument that is short enough to be administered in a reasonable amount of time, but inclusive enough that it could incorporate subscales representing multiple distinct latent factors. This study answers a call by researchers expressing a need to investigate relationships between disparate theories on motivation and is a response to …

Teaching An Algebraic Equation To High School Students With Moderate To Severe Intellectual Disability, Suzannah M. Chapman

Theses and Dissertations--Early Childhood, Special Education, and Counselor Education

The purpose of this study was to examine the effectiveness of using the system of least prompts and concrete representations to teach students with moderate and severe disabilities (MSD) to solve simple linear equations. A multiple-probe (days) across participants, single case research design was used to evaluate the effectiveness of task analytic instruction along with concrete representation on teaching students with MSD to solve algebraic equations. The results showed the system of least prompts and concrete representations were effective in teaching students with MSD to solve simple linear equations.

Calculators In High School Classrooms, Adam P. Rohrabaugh, Clay M. Cooper

Williams Honors College, Honors Research Projects

In today’s mathematics classrooms, calculators are becoming incredibly well known and used almost daily. However, there has been a common question about the use of these calculators: Is too much exposure to calculators causing students to become dependent on them and consequently start to forget basic addition, subtraction, multiplication, and division, leading into confusion on other mathematics topics because the most basic foundation of mathematics is not there? The purpose of this paper is to discuss both sides of this question by looking at different studies as well as provide our own experiences with this subject while working in different …

Algebraic Content And Pedagogical Knowledge Of Sixth Grade Mathematics Teachers, Mariyam Shahuneeza Naseer

Walden Dissertations and Doctoral Studies

Algebra test scores of the Maldivian students from grade 6 through 12 are the lowest compared to any other area of mathematics. Algebra is a fundamental topic in mathematics and lays the foundation for mathematical reasoning and complex problem-solving. Research shows that strengthening algebra instruction could improve student achievement. This concurrent mixed methods study examined the algebraic content and pedagogical knowledge of 5 sixth grade mathematics teachers who teach in 5 different schools across the Maldives. Shulman's major categories of teacher knowledge and Ball, Thames, and Phelps' domains of mathematical knowledge for teaching guided this study. The research questions examined …

The Influence Of Types Of Homework On Opportunity To Learn And Students' Mathematics Achievement: Examples From The University Of Chicago School Mathematics Project, Yiting Yu

USF Tampa Graduate Theses and Dissertations

ABSTRACT

Public views on assigning students mathematics homework have been controversial. Although homework is designed for students to complete during non-school hours (Cooper, 1989), many see homework as excessive pressure on students. Most research placed their focus on the influence of the time spent on homework or the amount of homework on student achievement. Few studies have addressed the impact of types of mathematics homework. The purpose of this study is to examine the role of homework types in influencing opportunity to learn (OTL) on student achievement.

This quantitative study used subsets of a large existing dataset collected by University …

Algebra 1 Students’ Ability To Relate The Definition Of A Function To Its Representations, Sarah A. Thomson

Electronic Theses, Projects, and Dissertations

One hundred high school Algebra students from a southern California school participated in this study to provide information on students’ ability to relate the definition of function to its representations. The goals of the study were (1) to explore the extent to which students are able to distinguish between representations of functions/non-functions; (2) to compare students’ ability to distinguish between familiar/unfamiliar representations of functions/non-functions; (3) to explore the extent to which students are able to apply the definition of function to verify function representations; and (4) to explore the extent to which students are able to provide an adequate definition …

Examining Implementations Of Blended Learning In A K-12 Mathematics Classroom, Kelsey Waynick

Honors Projects

In this research project, I investigated the effects on eighth grade students’ performances and perceptions throughout a blended learning experience by implementing a combination of face-to-face and online instructional strategies in an Algebra classroom. This blended experience was segmented into two units – a face-to-face unit and a blended unit – to allow for comparison within the participant group of high-achieving mathematics students. Edmodo, an online educational platform, was utilized to provide students with access to online resources at home during the blended unit. Students completed a series of three identical tests to quantitatively measure learning growth at designated checkpoints …

Teaching Algebra: A Comparison Of Scottish And American Perspectives, Brittany Munro

Undergraduate Honors Theses

A variety of factors influence what teaching strategies an educator uses. I analyze survey responses from algebra teachers in Scotland and Appalachia America to discover how a teacher's perception of these factors, particularly their view of mathematics itself, determines the pedagogical strategies employed in the classroom.