Curriculum and Instruction Commons^™

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 …

Relationships Of Gender On Mathematics Achievement In High Achieving Military-Connected Children, Randi Kay Rose Dalton

Walden Dissertations and Doctoral Studies

The purpose of this quantitative correlational study was to describe the relationship between gender and grade level to mathematics achievement for high achieving military-connected students in Grades 3 through 9 who attended American public schools between 2012 and 2016. The theoretical framework was based on Sax's research on gender differences in learning. The research questions were: if there was a statistically significant difference between the percentage of military-connected students scoring in the top 2 quartiles (at or above the national average) for normal curve equivalent (NCE) mathematics scores on the Terra Nova Third Edition (TNTE) using gender as a predictor; …

Improving Mathematical Skill: The Perceptions Of Rural Minnesota Mathematics Educators, Michael Haskins

All Graduate Theses, Dissertations, and Other Capstone Projects

This qualitative phenomenological study is focused on the perceptions of mathematics educators on how to improve mathematical skill in high school students. The main purpose was to describe, recognize, and interpret the lived experience that have allowed educators to achieve the best results for their students. The population for the current study was mathematics educators that were located in a rural Southwest Minnesota city with medium population. These educators were either college educators or middle and high school teachers. The measures that were used to select the participants for the study were that they must hold at least a bachelor's …

Counseling Program Intervention For Improving African American Students’ Science, Technology, Engineering, And Mathematics Dual Enrollment Participation, Sonja L. Taylor

Theses and Dissertations

African Americans are underrepresented at all points in the STEM pipeline from K-12 coursework into professional careers. The reasons for this underrepresentation are varied and reflect a myriad of contributing factors based on early academic experiences, sociocultural influences, and the effects of standardized testing. The three-fold purpose of this study was to implement a counseling program to inform nine African American study participants about the dual enrollment opportunity at their high school, to gain perspective about the factors which shaped their STEM disposition, and to determine the effect of the program on their attitudes about dual enrollment participation. The study …

Problem-Solving In An Early Childhood Mathematics Classroom, Lockey Plyler

Theses and Dissertations

Problem-solving occurs when mathematical tasks create opportunities that provide challenges for increasing students' mathematical understanding and development. This research study determined the influence of the launch-explore-summarize/extend problem-solving framework on second-grade student performance of place value tasks. The dissertation in practice measured problem-solving success. This action research study occurred at an elementary school in Columbia, South Carolina. The teacher-researcher determined appropriate problem-solving tasks and assessed students’ academic achievement and critical thinking skills. Following a mixed methods action research design, the researcher analyzed qualitative and quantitative data to determine the significance of the problem-solving framework. The data indicated significant student growth during …

The Importance Of Automaticity Development In Mathematics, Austin T. Baker, Josh Cuevas

Georgia Educational Researcher

This study examined whether students were reaching automaticity with single digit multiplication facts. A fourteen question interview was used to collect data. The first three questions asked the student basic information about themselves and their current math teacher. The next seven questions were math facts. The math facts chosen for the interview were a range of difficulty, starting with a simple problem like 1 x 9 and increasing in difficulty to 6 x 9. The last four questions were open-ended with the intent of gaining insight into whether the students were using strategies to complete the problems or if they …

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 …

Assessing Teacher Attentiveness To Student Mathematical Thinking: Validity Claims And Evidence, 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 …

Sustainable Change In Public School Districts, Angela Cheri Franklin

Education Dissertations

Reform is a reality for many school districts and schools. When faced with reform movements, districts and schools must address both the immediate implementation and the sustainability of the reform. This dissertation study is informed by two theories centered on reform implementation and sustainability: Organizational Learning Theory by Leithwood, Aitken, and Jantzi (2006) and Coburn’s (2003) Theory of Sustainability. Current empirical research in this field identified particular factors that lead to successful implementation of reform and long-term sustainability. A monitoring tool was used to investigate factors such as: vision for reform, decision making, professional development, innovation and change, effectiveness of …

Shape Shifting: The Impact Of Student And Teacher Choice On Differentiation In A Detracked, Standards-Based High School Geometry Classroom, Kristin M. Weller

Journal of Practitioner Research

To gain insight into how using differentiated instruction and standards-based assessment supported my students’ learning in a detracked, honors geometry classroom, I employed the methodology of practitioner research to examine and reflect on the development and implementation of a standards-based differentiated unit based on the Pythagorean Theorem. Data collected and analyzed included field notes during classroom activities, student artifacts from classroom assessments and activities, verbatim transcripts from audiotaped student interviews, and practitioner researcher journal entries chronicling significant events and actions taken during the development and implementation of the unit. As I reviewed, analyzed, and reflected upon the data, my findings …

Blended Learning And Math Growth: Investigating The Role Of Ixl Math In The Growth Of 5th Grade Students’ Math Fluency Scores, Dan Van Ruler

Master of Education Program Theses

Because of an increase in usage of online adaptive technology in the classroom replacing much of the paper and pencil work previously given as math homework, this study was designed to compare the growth rates in MAPS (Measurement of Academic Progress) math scores between a control group of 5th grade students who did not have access to online practice and a treatment group of students who were assigned online practice throughout the school year. If growth rates were greater in the treatment group, this study could support the movement of decreasing the amount of traditional homework and implementing more online …

Exploring Bilingual Teachers' Beliefs About Academic Language Development In Mathematics Teaching: Implications For Bilingual Teachers' Professional Development, Viola Canales-Vela

Theses and Dissertations

The achievement of mathematics within Hispanic youth is of great concern across the nation. In order to improve student achievement in mathematics, the nature of a mathematics teacher’s complex belief system must be understood (McGee &Wang, 2014). The purpose of this exploratory qualitative study is to investigate the K-5 bilingual teachers’ beliefs about how to develop the academic language of mathematics in Spanish and English in the context of dual language programs at the elementary school level and bilingual teachers’ perceptions on the impact of professional development design for bilingual teachers to meet the needs of their students’ academic language …

The Importance Of Using Manipulatives In Teaching Math Today, Joseph M. Furner, Nancy L. Worrell

Transformations

This paper explores the research and use of mathematics manipulatives in the teaching of mathematics today during an age of technology and standardized testing. It looks at the drawbacks and cautions educators as they use math manipulatives in their instruction. It also explores some cognitive concerns as a teacher goes about teaching with math manipulatives. The paper shares many commonly used math manipulatives used in today’s classrooms and matches them up to some of the Common Core Math Standards that are taught today in classrooms in the USA and around the world.

The Impact Of Think Through Math© Usage On Middle School Students’ Mathematics Achievement, Laurie A. Sharp, Marc Hamil

MLET: The Journal of Middle Level Education in Texas

Technology-based resources have become a popular supplement to mathematics instruction within K-12 schools. Recently, the state of Texas provided school districts with access to Think Through Math^©, a web-based adaptive technology resource for mathematics instruction in Texas. At the time of this present study, no research independent of the provider of Think Through Math^© was available. Guided by concepts that underlie Cognitive Load Theory and its application to technology-based supplemental resources for mathematics, the purpose of this study was to determine the impact of Think Through Math^© usage on middle school students’ performance with state-mandated standardized …

Making Sense Of School Reform: A Case Study Of Mathematics And Science Teachers' Sensemaking With One District's Differentiation And Detracking Initiatives, Katelyn Daplyn Skinner

Theses and Dissertations

The purpose of this case study was to examine how individual science and mathematics teachers within a particular high school made sense of a district differentiation effort. A focus on teachers' perceptions and interpretations of this effort was targeted through the theoretical framework of sensemaking. Two of the teachers were present for an initial detracking reform effort, which enabled the researcher to examine their sensemaking of both initiatives.

There were clear differences in the sense that teachers made of the differentiation initiative. Additionally, there were multiple factors that impacted teacher sensemaking; the district initiative was not one of these factors. …

Exploration Of Mathematics: Investigating The Continuum Of Mathematics From The Middle Years Program To The Diploma Program At International Baccalaureate Schools, Stela Irene Tampubolon

Master of Education Program Theses

The purpose of this action research was to study the continuum of the mathematics curriculum from the Middle Years Program (MYP) to the Diploma Program (DP) at an IB School in Jakarta, Indonesia. To investigate the continuum of the mathematics curriculum from MYP to DP, data from the assessments of each program was collected from 2014-2016. The participants in this research were 44 grade 12 students who had already taken the DP Mathematics external examination. Their final mathematics scores were compared to their level of achievements in MYP Mathematics in grade 10. The results of the study were mixed, indicating …

The Relationship Between Elementary Teachers' Background In Mathematics, Teaching Self-Efficacy, And Teaching Outcome Expectancy When Implementing The Common Core State Standards, Jennifer Stuart

Doctoral Dissertations and Projects

The purpose of this correlation study was to identify a possible relationship between elementary teacher background in mathematics as measured by completed college math credit hours, district-provided professional development hours of training in Common Core math standards, and years of teaching experience, and teacher efficacy in math as measured by personal teaching self efficacy and outcome expectancy. The sample in the present study consisted of 69 elementary (K-5) math teachers in a medium-sized semi-rural district located within a southern state. The data was collected using the Mathematics Teaching Efficacy Beliefs Instrument (MTEBI), an online survey that was sent to the …

The Effects Of Desmos And Ti-83 Plus Graphing Calculators On The Problem-Solving Confidence Of Middle And High School Mathematics Students, Edwin Montijo

Doctoral Dissertations and Projects

As technology in education continues to improve, research is necessary to assess the impact it is having on students’ confidence in the way students solve mathematics problems. The purpose of this quasi-experimental, non-equivalent control-group comparison study is to examine the impact the Desmos graphing calculator has on the problem-solving confidence of middle school and high school students as compared to students who use a TI-83 Plus graphing calculator while controlling for students’ math achievement scores. The students (N = 146) participating in this study were learning their respective mathematics material for an equivalent period of 12 weeks in order to …

Middle And High-School Teacher Perceptions Of The Mathematics Georgia Standards Of Excellence, Marnie Dutcher

Theses and Dissertations

Public education in the United States had frequent curriculum changes throughout history. The curriculum initiatives of the past had a focus on improving education in schools based on one of four topics: (a) common standards, (b) preparing students for post-secondary education, (c) improving the quality of education, and (d) increasing the rigor of the content (Wallender, 2014). In February 2015, the Georgia State Board of Education approved revisions to the Common Core Mathematics Curriculum, which was the third set of mathematics curriculum standards implemented in Georgia since 2012. The standards were named The Georgia Standards of Excellence Mathematics Curriculum (GSE). …

A Mixed-Method Study Of One-To-One Mobile Technology Implementation In Math In A Rural Middle School, Maxie Nathan Deaton Jr

Education Dissertations and Projects

The purpose of this mixed-methods study was to examine the extent of one-to-one mobile technology implementation on student math achievement as measured by standardized test scores. A second focus was on the extent one-to-one mobile technology implementation has influenced teacher practices in math instruction. A final focus was on the extent that teacher lesson plans support or fail to support technology implementation. The setting for the study was a small rural middle school in the Upstate of South Carolina. The participants consisted of males and females from several ethnicities and socioeconomic classes. A parallel/simultaneous method was used for the study. …

Math And Physics Activities, Maureen Miller, Hope Bragg, Christy Keefer

Integrated Math & Social Studies Lessons

Mathematics is at the core of the Hidden Figures story. These women were united by their passion for the field of mathematics. Society often portrays that there are “bad” math students, those that struggle with calculations and applications. The structure of these activities, pairing of students, permits students to support each other in working through the problems. The video clip allows students to establish connections between mathematical calculations and scientific concepts. The physics problems that students complete are motion problems that beginning rocket engineers would have solved to determine how high their rocket flew.

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 …

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

College of Graduate Studies: Theses & 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 …

The Influence Of Multiple Representations On Secondary Students' Understanding Of Trigononetric Functions, Mayra Lizeth Ortiz Galarza

Open Access Theses & Dissertations

Trigonometry is a critical subject in mathematics that both high school and undergraduate students need to learn in order to be prepared for advanced mathematics. Despite the importance of trigonometry in the mathematics curriculum, little is known about best practices for teaching trigonometric functions and what difficulties students face when learning the topic. Using a Grounded Theory approach, this Dissertation presents the results of a design study (or teaching experiment) whose purpose was to examine the process by which students constructed the concept of trigonometric functions through multiple representations and how students developed meta-representational competence. The design study involved two …

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 …

Art-Integration Through Making Dioramas Of Women Mathematicians’ Lives Enhances Creativity And Motivation, Audrey C. Rule, Dana L. Atwood-Blaine, Clayton M. Edwards, Mindy M. Gordon

Journal of STEM Arts, Crafts, and Constructions

Creativity is essential for solving problems in the workplace, natural environment, and everyday life, necessitating that creativity be nurtured in schools. Identification of factors that intrinsically motivate students to learn difficult or initially unappealing content is also important. This project, in which 24 racially diverse fifth grade girls created dioramas of the lives of diverse successful women mathematicians, explored the girls’ reactions to art integration into mathematics through a phenomenological qualitative analysis of their products, essays, and responses to questionnaires. The project supported the Next Generation Science Standard for engineering design, Standard 3-5-ETS1-1 and two National Core Arts Standards for …

Differentiating Instruction Through Math Stations And Literacy Centers, Olivia Bates

Faculty Curated Undergraduate Works

Differentiating instruction based on students’ readiness, interests, and learning profiles is essential for creating effective and meaningful learning activities. Identifying these characteristics allows teachers to meet students’ needs and engage them in learning. By differentiating instruction, educators target specific students’ strengths and challenges in developing lessons to support their understanding of content. Two useful strategies for differentiating math and literacy instruction include stations and centers. In stations and centers, students work on specific skills catered to their educational needs while rotating activities in flexible groups. This guide supports teachers in identifying strategies and understanding the benefits of differentiating math and …

Analyse D’Un Projet Pilote D’Intégration D’Une Approche Par Les Situations Dans L’Éducation De Base De La République Démocratique Du Congo, Stéphane Cyr, Annie Savard, Emna Braham

Comparative and International Education / Éducation Comparée et Internationale

En 2015, la République Démocratique du Congo (RDC) a entrepris une démarche transitoire de réforme scolaire en adoptant une Approche par les Situations (APS) dans ses programmes pour le primaire. Pour initier cette démarche, le pays a mis en place un projet pilote visant l’amélioration de l’enseignement et des apprentissages des mathématiques et des langues. Dans ce dispositif, des situations ont été crées et des enseignants ont été formés à l’utilisation de ces situations en classe. Le présent article présente les résultats issus des différents outils de collecte de données visant à rendre compte de cette démarche expérimentale en mathématiques …

Project-Based Learning And Design-Focused Projects To Motivate Secondary Mathematics Students, Kelly W. Remijan

Interdisciplinary Journal of Problem-Based Learning

This article illustrates how mathematics teachers can develop design-focused projects, related to project-based learning, to motivate secondary mathematics students. With first-hand experience as a secondary mathematics teacher, I provide a series of steps related to the engineering design process, which are helpful to teachers in developing design-focused projects, describe various projects that have been developed and implemented within my classroom, and share project artifacts illustrated by pictures, student work, and student comments. Referring to the MUSIC Model of Academic Motivation and reflecting upon personal observations, student outcomes, and student comments, I provide personal insight on how design-focused projects can be …