Digital Commons Network^™

A Qualitative Case Study Of Mathematics Teachers' Formative Assessment Feedback, Ryan Rathje

Walden Dissertations and Doctoral Studies

Formative assessment is supported by research as a process to enhance student learning. A vital aspect in the process is the role of feedback which, based on its use, can support or hinder student learning. The problem addressed in this study was based on the concern of a high school administrator that teachers in the school were not using formative feedback in a manner that supported student learning. The purpose of this instrumental qualitative case study was to explore and understand the assessment and feedback practices of mathematics teachers in a private high school setting. The conceptual framework for this …

Descriptions Of Differentiated Instruction In Mathematics In A Title 1 School District, Sheril Bulley-Simpson

Walden Dissertations and Doctoral Studies

In an urban Title 1 school district, the average number of Grade 3-5 students who scored proficient or advanced on the state standardized assessment was 37.3% below Grade 3-5 students countywide and 19.4% below Grade 3-5 students statewide. Low mathematics scores may indicate a gap in practice that affects student achievement. The purpose of this descriptive case study was to examine teachers' descriptions of instructional strategies implemented to mediate instruction for students who struggle in mathematics. This study was based on the conceptual framework of Tomlinson's differentiated instruction (DI), a means of accommodating the varied ways that students learn. The …

Beyond Teacher Knowledge: Connections Between Content Knowledge, Mindset For Learning, And Teaching In Two-Year College Mathematics Faculty, Lucy Hernandez Michal

Open Access Theses & Dissertations

Addressing thousands of students entering unprepared to enroll in college freshman mathematics courses is a challenge two-year college mathematics faculty face every semester. The study addresses this challenge through a mixed methods sequential nested multi-case design to investigate what faculty need, beyond teacher knowledge, to teach mathematics effectively to students. The three-part study measured the mindset learning profile and content knowledge of a sample of mathematics faculty at a two-year college. The quantitative and qualitative data provided references to select four faculty typologies to interview and observe. Interviews reflected faculty perceptions of teaching and learning. Class observations captured images of …

A Qualitative Content Analysis Of Early Algebra Education Ios Apps For Primary Children, Lissa S. Ledbetter

USF Tampa Graduate Theses and Dissertations

Educational software applications (apps) on multi-touch, mobile devices provide a promising space to help learners work toward long-term educational goals, like learning with understanding (Bransford, Brown, & Cocking, 2000). Such goals are particularly relevant in supporting a learner’s efforts to become more mathematically literate. Yet, a number of current apps do not appear to be living up to this potential. As such, this study drew upon the theoretical framework of Learning Science and the conceptual framework of TPACK theory (Mishra & Koehler, 2006) to define curricular characteristics that ideally support primary children’s potential to learn early algebra concepts with understanding, …

Instructional Strategies Used By Effective Mathematics Teachers In Adventist Elementary Schools In Florida: An Mqi Analysis, Anna Adkins

Dissertations

The Problem

Teaching mathematics can be a difficult task. United States students on comparative international mathematics assessments consistently rank near the test averages. On a national assessment, commonly called the Nation’s Report Card, more than half of American students rank as ‘not proficient’ in mathematics. The purpose of this study was to describe the strategies used by teachers with at least average mathematical knowledge for teaching. This was evidenced by their scores on the Mathematical Knowledge Test for Teaching (MKT). In addition to teacher knowledge, the study sample was selected from among schools where the five-year average was above the …

The Effects Of Integrating Lego Robotics Into A Mathematics Curriculum To Promote The Development Of Proportional Reasoning, Shelli L. Casler-Failing

Legacy Theses & Dissertations (2009 - 2024)

This mixed methods, action research case study sought to investigate the effects of incorporating LEGO robotics into a seventh grade mathematics curriculum focused on the development of proportional reasoning through the lens of Social Constructivist Theory. Quantitative data was collected via pre- and post-tests from the mathematics class of six students. Qualitative data was collected from each of the students as they worked in groups of two to complete purposefully designed investigations, activities, from whole class discussions, and student artifacts. In addition, four students were purposefully chosen to participate as embedded case studies. The quantitative analysis showed development of proportional …

A Study Of Fourth-Grade Students' Perceptions On Homework Environment And Academic Motivation In Mathematics, Stefanie Harmon

Walden Dissertations and Doctoral Studies

The problem at an elementary school is teachers' lack of knowledge and information on the perceptions and motivation of students to complete independent mathematics homework. The purpose of this study was to identify students' perceptions regarding their homework environment and academic motivation in mathematics. The study's conceptual framework, attribution theory, supported the examination of drivers of motivation for participants related to homework completion. Guiding research questions, supported by Keller's ARCS model, focused on the identification of students' perceptions of homework attention, relevance, curiosity, satisfaction, and their preferred homework environment. This qualitative research study obtained data from semistructured interviews with 44 …

“I’M Not Good At Math”: Mathematical Illiteracy And Innummeracy In The United States, G. Wesley Rogers

Electronic Theses and Dissertations

Why do we view mathematics the way we do in the United States and how have these views created an environment where we consider mathematical illiteracy and innumeracy socially and culturally acceptable when a lack of this knowledge and ability can function to enslave, exploit, restrict, and oppress. Throughout this investigation, I have explored some of the possible reasons for why we view education, mathematics, and the learning of mathematics the way we do and the impact of these views on our motivation and desire to learn mathematics. Using my over 20 years of teaching experience and the review of …

Towards A Unified Theory Of Engineering Education, Oscar Humberto Salcedo

Open Access Theses & Dissertations

STEM education is an interdisciplinary approach to learning where rigorous academic concepts are coupled with real-world lessons and activities as students apply science, technology, engineering, and mathematics in contexts that make connections between school, community, work, and the global enterprise enabling STEM literacy (Tsupros, Kohler and Hallinen, 2009). The purpose of the Dissertation is to develop a unified theory of engineering education based on philosophies of mathematics, science, technology & engineering, and engineering education. Using purposive sampling methods, the Thesis constructs "representative" philosophy statements from the STEM fields based on the criteria of Constructivism, Progressivism, and/or Pragmatism. These statements are …

An Examination Of How One University Is Preparing Elementary And Middle Level Education Majors For Common Core Mathematics, Michelle Elizabeth Schwartze

Theses and Dissertations

In 2010 the Common Core State Standards (CCSS) for mathematics and English Language Arts were introduced into K – 12 classrooms (Common Core State Standards Initiative, 2015b). The standards for mathematics focus on having students demonstrate and explain understanding more than the standards have in the past (Burns, 2013). McCallum (2011) divides the eight Standards for Mathematical Practice into four main themes: reasoning and explaining, modeling and using tools, seeing structure and generalizing, and overarching habits of mind of a productive mathematical thinker. These four themes encompass what a mathematics classroom should look like when utilizing the CCSS for mathematics. …

The Impact Of Response To Intervention In A High School Mathematics Setting, Lauren Dominick

EDL Sixth Year Theses

The purpose of this thesis is to examine the impact of response to intervention (RTI) in a high school mathematics setting. A major concern in the literature related to the fact that majority of RTI research focused on students at the elementary level and in reading. Therefore in this study RTI was implemented in a high school mathematics classroom and the effects were analyzed. This study is focused on a sample of ninth and tenth grade students from two classes and taught by one teacher in the same high school in an action research setting. Quantitative and qualitative methods of …

Utilizing Assessment Resources To Support Classroom Instruction In Mathematics, Jennifer A. Judkins

Ed.D. Dissertations in Practice

Mathematics teachers in the state of Washington have the responsibility of helping students develop the knowledge and skills included in the Mathematics K-12 Learning Standards (also known as the Common Core State Standards for Mathematics) and measured by the Smarter Balanced summative assessments in mathematics. A great need existed for teachers to have additional support to help students learn the standards and be prepared to demonstrate their knowledge on the Smarter Balanced assessments as well as more working knowledge of how to utilize the supports provided within the system of Smarter Balanced. Mathematics educators in the state of Washington were …

Guiding Sixth Grade Language Development In Mathematical Content Acquisition Through Student Centered Siop Instruction, Leah Callister

Dissertations, Masters Theses, Capstones, and Culminating Projects

Mathematics is considered a universal language for students. However, now common core standards require students to explain their conceptual understanding through words, numbers, and verbal explanations. Student proficiency in the universal language is impeded when they do not speak the primary language. It is difficult for the teacher to teach both the academic language and mathematical concepts, when the vocabulary is not accessible to all students. Conversely it is difficult for students to follow the pacing of the class while having to translate and gain a conceptual understanding of the subject. The purpose of this study is to increase student …

Preservice Teacher Development Through Math Camp Involvement, Kelly Largent

Honors Projects

This research study investigated the role that involvement in Math Camp had on the development of preservice math teachers at Bowling Green State University. The research question was, In what ways do preservice teachers perceive their development through math camp involvement and how do they plan to use this development in their future classrooms? Since 2013, there have been 134 BGSU preservice teachers that have participated in Math Camp. All of these individuals were solicited to participate in the research study. Fifteen responded to the solicitation and participated in the study. Each participant completed a brief survey as well as …

Factors For Success In Community College Online Gateway Math, Lisa Marie Borzewski

Walden Dissertations and Doctoral Studies

Researchers have found that student success rates in online classes are lower than in comparable face-to-face courses. Yet, the research is unclear as to whether student demographic and academic history variables are related to the lower success rates. At a large community college in Florida, low success rates for students in the online Intermediate Algebra course led to delays in the continuation of required coursework and graduation for many students and the factors associated with low success rates were largely unknown. The purpose of this quasi-experimental study was to examine the associations between several student variables and student success in …

Predicting Mathematics Teachers' Acceptance Of Reflective Blogging To Improve Instruction, Diana Sue Fesmire

Walden Dissertations and Doctoral Studies

An internal district audit identified that a rural, socioeconomically disadvantaged Southwestern school district has a lack of congruent and consistent implementation of the Common Core State Standards in mathematics. Innovative and cost-saving avenues for professional development (PD), such as reflective blogging, foster teacher learning to reconcile the enacted curriculum with the intended curriculum. This correlational study investigated the predictive power of technology acceptance and motivation constructs on reflective mathematics teachers' social media use intention and participation in informal, virtual Communities of Practice (vCoP). The framework that guided this study is the unified acceptance and use of technology and self-determination theory. …

How Social Presence On Twitter Impacts Student Engagement And Learning In A Grade 8 Mathematics Classroom, Shelly Vohra

Walden Dissertations and Doctoral Studies

Social media for personal use has evolved rapidly among adolescents, changing the way they communicate with each other. However, little research has been conducted about how teachers use social media in the classroom to improve student learning. The purpose of this qualitative study was to describe how social presence on Twitter impacts student engagement and learning when a mathematics teacher integrates this social media tool into an instructional unit. The conceptual framework was based on social presence theory developed by Short, Williams, and Christie. This qualitative study used a single case study design. Participants included 6 students and 1 classroom …

Student Perceptions Of Flipped Learning In A High School Math Classroom, Daniel Strohmyer

Walden Dissertations and Doctoral Studies

Flipped classrooms are implemented in more schools each year, particularly in courses requiring increased teacher guidance for mastery. While a foundation of research related to pedagogy and academic outcomes exists, research is limited surrounding student perceptions of the social and learning culture during flipped learning. The purpose of this study was to explore high school math students' lived experiences of flipped learning related to content and instruction, critical thinking, and collaboration and interactions. A phenomenological design was employed using a conceptual framework combining cognitive load theory, sociocultural learning theory, and schema theory. Students from two public high schools in the …

Teachers' Perceptions Of Manipulatives During Middle School Math Instruction, Angela L. Vizzi

Walden Dissertations and Doctoral Studies

In a Colorado school district, school personnel and parents were concerned that middle school math proficiency levels were low for 2011-2014 and math teachers were not using manipulatives in their classes to increase math performance. The district's math coordinator did not foresee providing specific professional development (PD) for math manipulative use to address these concerns. Without this PD, math teachers may be ill-quipped to teach math concepts when using manipulatives, which, in turn, could lead to further poor math performance. The purpose of this qualitative bounded collective case study was to explore middle school teachers' perceptions of PD and perceived …

Understanding The Relationships Among Students' Goal Orientations, Self-Efficacy, Anxiety, And Accelerated Academic Success In The Redesign Of Developmental Mathematics, Kelly Ann Hogan

Walden Dissertations and Doctoral Studies

The low success rates of increasing numbers of underprepared students taking developmental mathematics classes 'often minority and economically disadvantaged' are challenging community colleges across the United States. These students, who must start in the lowest levels of precollege mathematics courses, are unlikely to pass the first course and earn a credential. Using a mastery goal orientation theoretical framework, a quantitative, survey research design was used to ascertain any correlations between students' goal orientations, self-efficacy, test anxiety, and success in a new model of learning. Survey data were used to answer 3 research questions: (a) the relationship between success and students' …

What Concerns Are Secondary Mathematics Teachers Experiencing With The Implementation Of The Common Core State Standards For Mathematics And Is There A Relationship Between The Concerns And Professional Development Received?, Suzanne Therez Jennings

Dissertations

Using the Concerns Based Adoption Model (CBAM) as the theoretical framework, this mixed-methods study utilized three research methods, quantitative, profile interpretation, and qualitative to answer the research questions to investigate the concerns teachers were experiencing during the first year of implementing the Common Core State Standards for Mathematics (CCSSM) and to determine if professional development affected those concerns. The Stage of Concern questionnaire which included two open-ended questions was employed to survey 88 secondary Mississippi mathematics teachers. MANOVA was used to investigate any differences in the means of the relative levels of intensity present within the subgroups which are inconclusive. …

Fostoria Intermediate Elementary School Family Math Night, Chelsea Nye

Honors Projects

This is a Family Math Night that was planned and held at Fostoria Intermediate Elementary School in Fostoria, Ohio. It includes the Research Questions, Literature Review, Proposed Activity, Methodology, and Expected Results as well as the Annotated Bibliography and Timeline for Completion from my research and planning. Following the Proposal are 20 mathematical activity or game lesson plans and direction sheets that were planned for the Family Math Night. There are 5 different mathematical activities or games for each grade level 3-6, each meeting a different domain in the Common Core State Standards. At the end there is two general …

Teacher Mathematics Language: Its Use In The Early Childhood Classroom And Relationship With Young Children's Learning, Emma Whitman

Dissertations

Early mathematics instruction has been linked to children's later outcomes in both literacy and mathematics. One important component of this instruction, teachers' mathematics language in the early childhood classroom, has been connected to children's mathematical gains. However, this work is lacking in both scope and depth. The objective of this study was to provide a review of the use of math language by early childhood teachers and address the issues neglected in the current literature. The study looks at: the type of content that teachers' mathematics language emphasizes, the mediating effects of settings on the mathematics language that is used, …

A Program Evaluation Of My MathTm: Improving Student Computational Fluency Through Inquiry-Based Instruction, Andrea Townsend

Walden Dissertations and Doctoral Studies

This program evaluation study addressed a critical deficiency in early childhood math proficiency for a local urban school district. To strengthen students' skills in mathematics, the district adopted the Common Core State Standards and piloted an inquiry-based instructional program called My Math. The purpose of this project study was to determine the extent to which My Math met the goals of improving Grades K-2 students' math proficiency. The conceptual framework was based on theories of multiple intelligences, social learning, and foundations of social development. The National Program Evaluation Standards were used to guide the program evaluation. The research questions centered …

Pre-Service Elementary Teachers' Affective Dispositions Toward Mathematics, Benjamin R. Mcdermott

Open Access Theses & Dissertations

The purpose of this study was to measure and report pre-service elementary teachers' affective domain of productive disposition toward mathematics during the semester they were enrolled in a reform-based mathematics methods course. The study attempted to observe and report dynamic and enduring aspects of disposition as well as the perceived reasons for any changes, or lack thereof, in disposition. The rationale for focusing on disposition is related to Kilpatrick, Swafford, and Findell's (2001) inclusion of productive disposition as one of the five interdependent strands of the mathematical proficiency conceptual framework. Furthermore, it has been argued that dispositions develop at very …

Effects Of Embedded Study-Skills Instruction On High School Students' Attitudes Toward Mathematics, Alberta Diahann Banks

Walden Dissertations and Doctoral Studies

The target school used embedded study skills in Algebra I classes to improve attitudes toward mathematics. The purpose of this sequential, explanatory mixed-methods study was to examine the effect of embedded study-skills instruction on students' attitudes toward mathematics. Metacognitive theory was used for this study's framework. Participants were 28 Grade 9 and 10 students who repeated Algebra I. Quantitative data from the Attitudes Toward Mathematics Inventory assessed students' pre- and post-instruction attitudes toward mathematics in 4 domains. Data were analyzed using 4 independent samples t tests for students who did and did not receive embedded instruction. Qualitative data were collected …

Calculator Usage In Secondary Level Classrooms: The Ongoing Debate, Nicole Plummer

Honors College Theses

With technology becoming more prevalent every day, it is imperative that students gain enough experience with different technological tools in order to be successful in the “real-world”. This thesis will discuss the debate and overall support for an increased usage of calculators as tools in the secondary level classroom. When the idea of calculators in the classroom first came to life, many educators were very apprehensive and quite hesitant of this change. Unfortunately, more than 40 years later, there is still hesitation for their usage; and rightfully so. While there are plenty of advantages of calculator use in the classroom, …

Investigating The Status Of Early Numeracy Skills In Bilingual Dual Language Learner Latino Children Attending Head Start And The Association With Parent Demographic Characteristics, Chavely Lissette Iglesias

USF Tampa Graduate Theses and Dissertations

Research on mathematics achievement has become increasingly important with today's technological advances and demand for specialized knowledge. Though there is much literature regarding mathematics achievement in monolingual speakers, little is known regarding the mathematical abilities of Dual Language Learner (DLL) Latino children. This study examined the early numeracy skills in English and Spanish of 132 DLL Latino children attending Head Start programs in five counties across Florida. Relationships and differences among their performance in both languages were examined, along with the contribution of specific parent demographic variables to math achievement. Findings indicated that DLL Latino Head Start children's performance on …

Analyzing Common Algebra-Related Misconceptions And Errors Of Middle School Students., Sarah B. Bush

Electronic Theses and Dissertations

The purpose of this study was to examine common algebra-related misconceptions and errors of middle school students. In recent years, success in Algebra I is often considered the mathematics gateway to graduation from high school and success beyond. Therefore, preparation for algebra in the middle grades is essential to student success in Algebra I and high school. This study examines the following research question: What common algebra-related misconceptions and errors exist among students in grades six and eight as identified on student responses on an annual statewide standardized assessment? In this study, qualitative document analysis of existing data was used …

It's Nothing Personal: Competing Discourses For Girls And Women In Mathematics, Shannon Dawn Bryant

Open Access Dissertations

This dissertation used a post-structural feminist theoretical lens to examine women’s under-representation in mathematics graduate programs and careers. Five dominant discourses that potentially influence women’s decision to enter mathematical careers were discussed, including how those discourses interact in competing and complementary ways to shape women’s and men’s ideas about the nature of mathematics. The study investigated the long-term impact of a single-sex reform-based summer mathematics program on high school girls. The study utilized a variety of data collection techniques including surveys, field observations, phenomenological interviews, and artifact collection. Nine participants who were enrolled in a summer mathematics program for high …