Science and Mathematics Education Commons^™

Examining The Influence Of Number Line Fraction Task Characteristics On Student Work, Sharlee Hatch

Boise State University Theses and Dissertations

Research supports the claim that classrooms with teachers who respond to student thinking in the mathematics classroom will see greater student gains and student success (Lamon, 1996; Sleep & Boerst, 2012). The topic of fractions is both difficult to teach and learn, but has important implications on future success in mathematics and in life. This study set out to explore the ways in which student work is influenced by characteristics of number line fraction tasks. By examining task type, number line structure, and number choice this study shares the way these task characteristics influenced student strategies. The relationship between task …

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. …

Indicators Of Future Mathematics Proficiency: Literature Review & Synthesis, Claudia Preciado

Electronic Theses, Projects, and Dissertations

The beauty of mathematics can arguably be found in the way in which all concepts are interrelated and interwoven to create a massive web of knowledge and in the ways this can be applied to all aspects of life and technology. Given this inextricable interrelationship amongst several mathematical topics, many students encounter issues in learning mathematics due to gaps in their understanding of previously taught material. As a result, mathematics education in the K-12 setting has emphasized the need for interventions in order to help students grasp the progressively complex concepts that are required by our current society and education …

Math Emporium Model: Preparing Developmental Students For College Algebra, Stephanie Patton Williams

Dissertations

This study examined the effectiveness of the Emporium Model in reducing math anxiety and in preparing developmental math students at a community college to be successful in College Algebra. The study involved 59 students enrolled in Intermediate Algebra at a community college and compared those in the Emporium class format to those in the Traditional class format. Participants completed a pre-post math anxiety rating scale questionnaire and a pre-post algebra readiness test to address the research questions of the study. Two mixed model ANOVAs were done and the findings showed that there was a significant difference in math anxiety level …

Using Manipulatives To Investigate Esol Students' Achievement And Dispositions In Algebra, Donna L. Marsh

Doctor of Education in Teacher Leadership Dissertations

The purpose of this embedded quasi-experimental mixed methods research was to investigate the effectiveness of concrete and virtual manipulatives on the achievement of English Speakers of Other Languages (ESOL) as they employ them to explore linear and exponential functions in high school Sheltered Common Core Coordinate Algebra. Also of interest were the effects concrete and virtual manipulatives have on their disposition towards mathematics and math class. Another goal was to investigate the benefits and disadvantages of using concrete and virtual manipulatives versus traditional instructional practices.

This was a 5-week study. The control group (N=20) was instructed through the use of …

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 …

An Examination Of Black Male Success In High School Mathematics, David Walters Jr.

Dissertations, Theses, and Capstone Projects

For a national sample of Black male students, what is the relative impact of instructional technology on 10th and 12th grade math scores? This dissertation employs two waves of the Education Longitudinal Study (2002 & 2004) and multivariate statistical techniques to explore the relative importance of instructional technology (implementation by teachers and training for teachers), student perception of math ability, teacher and school effects, as well as socioeconomic status on high school math scores for this unique population.

Bourdieu’s cultural and social capital, Coleman’s cultural capital and social action, Martin’s equity-based math education, and Gutierrez’s socio-political mathematics will serve as …

The Effects Of Cognitive Strategies Paired With Hands-On Or Virtual Manipulatives On Math Instruction For Students With Mathematical Learning Disabilities To Learn Word Problem Solving Skills, Kimberly Plute

Theses and Dissertations

The purpose of this study was to evaluate the effects of using cognitive strategies with hands-on manipulatives, and cognitive strategies with virtual manipulatives to enhance problem solving skills of students with Mathematical Learning Disabilities (MLD), as well as their satisfaction with those strategies. Five, 5th graders with MLD participated in the study to learn word problem solving skills in a math class for 80 minutes, 5 days a week for 10 weeks. A single subject research design with ABC phases was used in the study. Results showed each student gained from 3.6 to 5.2 mean points of the weekly quizzes …

The Effects Of Using The Gomath Program On Teaching Computation Skills For Students With Learning Disabilities, Patricia Virginia Giordano

Theses and Dissertations

The purpose of this study was to evaluate the effects on teaching math computation skills to students with learning disabilities (LD) using the GoMath program and to examine the teachers’ and students’ satisfaction with this program in their teaching and learning. Four, 3rd and 4th graders with LD were taught by one special education teacher in a resource room and participated in learning computation skills for 60 minutes, 5 days per week for 12 weeks, using the Go Math program. A multiple baseline research design with A B phases across students was used to evaluate their performance. The findings indicated …

Strategies For Teaching Developmental Mathematics Students At The College Level, Natalie Lynn Kautz

Theses and Dissertations

The purpose of this investigation was to identify strategies used by effective instructors of developmental mathematics, and to discover the perceptions developmental mathematics students have about these strategies. While there are research projects focusing solely on developmental mathematics achievement, this study fills a need by incorporating views of teaching effectiveness from multiple viewpoints.

In this research project, college-level instructors of developmental mathematics students were recorded on video before, during, and after the teaching of an algebraic concept. Students were given a pre-lesson survey and post-lesson survey to see if there were gains in their learning. Students completed a survey about …

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 …

Eighth Grade Mathematics Intervention: Improving Student Self-Esteem And Content Knowledge Of Targeted Mathematic Skills, Stephanie Hart

Dissertations, Masters Theses, Capstones, and Culminating Projects

By eighth grade some students believe they are “not good” and never will be successful at mathematics. Discouraged by poor grades, negative feedback from teachers or demoralized by repeated academic failure, these students disengage from their mathematics classwork. In some cases, mathematics intervention classes are a last chance to get them back on track to qualify for Algebra I in 9^th grade. The purpose of this study is to identify strategies to reengage students by increasing their academic content knowledge in mathematics and boosting their self-esteem and sense of belonging in the school setting. The review of the literature …

The Effects Of Dynamic Graphing Utilities On Student Attitudes And Conceptual Understanding In College Algebra, Ryan Vail Thomas

Graduate Theses and Dissertations

The goal of this study is to explore and characterize the effects of using a dynamic graphing utility (DGU) on conceptual understanding and attitudes toward mathematics, measured by the responses of college algebra students to an attitude survey and concepts assessment. Two sections of college algebra taught by the primary researcher are included in the study, with one group using the dynamic graphing utility Desmos (www.desmos.com), and the other using the TI-84 (or equivalent) graphing calculator as a control. The Precalculus Concept Assessment (Carlson, Oehrtman, & Engelke, 2010) was used to measure aspects of students’ conceptual understanding of course material, …

Structural-Symbolic Translation Fluency: Reliability, Validity, And Usability, Matt C. Hoskins

Electronic Theses and Dissertations

Standardized formative mathematics assessments typically fail to capture the depth of current standards and curricula. Consequently, these assessments demonstrate limited utility for informing the instructional implementation choices of teachers. This problem is particularly salient as it relates to the mathematical problem solving process. The purpose of this study was to develop and evaluate the psychometric characteristics of Structural-Symbolic Translation Fluency, a curriculum-based measure (CBM) of mathematical problem solving. The development of the assessment was based on previous research describing the cognitive process of translation (Mayer, 2002) as well as mathematical concept development at the quantitative, structural, and symbolic levels (Dehaene, …

Eighth-Grade Students' Use And Justification Of Multiple Represenations, Maria Nielsen

Honors Projects

The purpose of this study is to explore students’ use of multiple representations in the classroom and their reasoning for representation choice. The participants of this study were 22 eighth-grade students. All students took a short pretest consisting of three items. The items addressed mathematics content covered during regular instruction. Students were asked to answer each question using different representations. Usual instruction included frequent probing and encouragement of students' representation use while problem solving. Students were asked to explain their reasoning when problem solving and share their representations with others. Following the unit of instruction, students completed a posttest composed …

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 …

African American Urban Public High School Graduates’ Experiences Concerning Mathematics, Lorenzo A. Rashid

ETD Archive

This interpretive qualitative study explored African American urban public high school graduates’ experiences concerning mathematics, how these experiences may play a role in the choice to further their mathematics education, and how the Model of Academic Choice (MAC) may facilitate in the understanding of the experiences.

It examined the lived experiences of seven African American urban public high school graduates concerning their mathematics education. Through criterion-based sampling, the seven participants selected had graduated from a public high school located in Northeast Ohio school districts having similar characteristics.

Data were collected through semi-structured interviews that explored participants’ kindergarten through post-secondary mathematics …

Evaluating High School Mathematics Performance Measures And Student Attributes For Predicting Remedial Mathematics Success And Student Retention In College, Sherri L. Stepp

Theses, Dissertations and Capstones

The purpose of this study was to evaluate multiple high school student attributes and performance measures that could be considered for use in predicting success in developmental mathematics courses and college-level math courses at Marshall University in Huntington, West Virginia. This study also evaluated the predictive ability of the same high school student attributes and performance measures in determining first-year fall-to-fall retention rates for successful math students.

The study population consisted of first-time freshmen who entered the case study institution in the fall semesters of 2010 through 2014 and graduated from West Virginia public high schools. The population was stratified …

Strengthening Elementary Students' Understanding Of Factors, Jordan R. Frotz

Undergraduate Theses, Professional Papers, and Capstone Artifacts

Research on pre-service elementary school teachers’ understanding of the multiplicative structure of the natural numbers demonstrates an under-utilization of unique prime factorization in the identification of a number’s factors. For example, Zazkis and Campbell (1996b) found that a majority of teacher candidates employed trial division to analyze factor-candidates of a number, even when both were presented in prime-factored-form. Recent studies (i.e. Roscoe & Feldman, 2015) have shown that teachers’ understanding of factor can be strengthened by engaging in a sequence of instructional tasks that explore the relationship between a number’s prime factorization and its factors. This study seeks to extend …

Rural High School Mathematics Instructional Practices And Students' Academic College Readiness, Luajean Erna Bryan

Walden Dissertations and Doctoral Studies

Rural high school graduates in the United States lag behind in college math preparedness, therefore prompting researchers to identify instructional practices that would advance student math performance. This quantitative research study investigated specific teacher practices and their correlation with student gains in college math preparedness on the American College Test (ACT). Data were collected using a teacher questionnaire to quantify the level of reform practices among a sample of six math teachers and used ACT pre and posttests to assess 312 11th grade students' gains in college math readiness in a public rural high school in Southeast Tennessee. Correlation analysis …

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. …

Junior High School Teachers' Perceptions Of Math Instruction For African American Students, Sandra Denise Richardson

Walden Dissertations and Doctoral Studies

A mathematics achievement gap exists between 8th grade African American students and other ethnic groups. Guided by the conceptual framework of constructivism, the purpose of this case study was to examine 8, Grade 8 math teachers' perceptions of factors contributing to mathematical performance gap in their African American students and what instructional strategies can be used to help reduce the achievement gap in southwest Georgia. Data were obtained through interviews and classroom observations and were coded and analyzed using typological analysis, followed by inductive analysis. The results of the data revealed teachers perceived recruiting and retaining African American teachers and …

Impact Of Instructional Coaches On Elementary Mathematical Achievement, Kayla Marie Hibbard

Online Theses and Dissertations

Since the passage of the Elementary and Secondary Education Act of 1965, school leaders have sought to improve student abilities in both math and reading. Although both subjects have made improvements in both delivery and assessment over the years, mathematics still troubles the nation as students continuously fall short of local, state and federal goals (Darling-Hammond, 1998, 2005; Franke et al., 2005; Johnson & Johnson, 2002).

Instructional coaches have become a norm for many districts across the U. S. as districts seek to draw knowledge and leadership from mastery level teachers as they help improve everyday teaching and student learning. …

One-To-One Ipad Technology In The Middle School Mathematics And Science Classrooms, Sharon G. Bixler

Theses and Dissertations--Education Sciences

Science, technology, engineering, and mathematics (STEM) education has become an emphasized component of PreK-12 education in the United States. The US is struggling to produce enough science, mathematics, and technology experts to meet its national and global needs, and the mean scores of science and mathematics students are not meeting the expected levels desired by our leaders (Hossain & Robinson, 2011). In an effort to improve achievement scores in mathematics and science, school districts must consider many components that can contribute to the development of a classroom where students are engaged and growing academically. Computer technology (CT) for student use …

A Review Of Secondary Mathematics Textbooks On Families Of Functions, Emily Nyszczy

Williams Honors College, Honors Research Projects

In 2008, twelve commonly used textbooks were studied for their use of technology and content across 5 families of functions: polynomial, rational, exponential, logarithmic, and trigonometric. Since 2008, the Common Core State Standards have been released and many textbook companies have used this as an opportunity to change their textbook content. This study reevaluates new high school algebra and precalculus textbooks across many of the same criterion studied in 2008. Some topics such as increasing and decreasing functions significantly increased their presence in the mathematics textbooks while topics such as sketching graphs has decreased. The reason for this shift in …