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Mathematics

2019

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Full-Text Articles in Education

Effective Instructional Strategies In Sixth Grade Inclusion Mathematics Classrooms: The Effect Of Active And Passive Engagement On Concept Learning And Opportunity To Learn, Christy Mikolaj Dec 2019

Effective Instructional Strategies In Sixth Grade Inclusion Mathematics Classrooms: The Effect Of Active And Passive Engagement On Concept Learning And Opportunity To Learn, Christy Mikolaj

Electronic Theses and Dissertations

The purpose of this mixed-method study focused on the effect of active engagement on opportunity to learn and concept learning among sixth grade special education students participating in the inclusion mathematical setting. By implementing two instructional strategies and using the theoretical frameworks of Vygotsky’s Social Constructivism and Erikson’s Stage of Psychosocial Development of Industry vs. Inferiority, findings showed there was a significant negative relationship between active engagement time during instruction and concept learning. The study showed students with identified needs within an inclusion mathematics setting increased concept learning in both instructional classrooms. Therefore, there was no difference in concept learning …


The Relationship Between Small-Group Discourse And Student-Enacted Levels Of Cognitive Demand When Engaging With Mathematics Tasks At Different Depth Of Knowledge Levels, Kristy Litster Dec 2019

The Relationship Between Small-Group Discourse And Student-Enacted Levels Of Cognitive Demand When Engaging With Mathematics Tasks At Different Depth Of Knowledge Levels, Kristy Litster

All Graduate Theses and Dissertations, Spring 1920 to Summer 2023

High cognitive demand (HCD) tasks can help students develop a deeper understanding of mathematics. Teachers need interventions that encourage students to engage in HCD activities. Small-group discourse provides HCD opportunities for students while solving mathematics problems. Discourse can take place after students solve problems individually (reflective) or in groups as students solve problems (exploratory). This study looks at the relationship between these two types of small-group discourse and student-enacted cognitive demand.

This study looks at how students engage with tasks that were designed at four different cognitive demand levels using Webb’s depth of knowledge (DOK) framework. Ninety-seven grade 5 students …


The Relationship Between Mathematics Teachers’ Perceptions Of Student Motivation And Their Use Of Instructional Strategies For At-Risk Math Students, Kayla Morris Couch Dec 2019

The Relationship Between Mathematics Teachers’ Perceptions Of Student Motivation And Their Use Of Instructional Strategies For At-Risk Math Students, Kayla Morris Couch

Theses and Dissertations

Student motivation in mathematics education can be affected by many variables, especially for at-risk students. Existing information is limited regarding teacher perceptions of their own pedagogy, instructional strategies, and at-risk student motivation in the area of mathematics for middle school and high school students. The purpose of this study was to analyze middle school and high school mathematics teachers’ perceptions of their own pedagogy, instructional strategies, and at-risk students’ motivation in mathematics. Deci and Ryan’s self-determination theory was the theoretical framework used to guide the current study, which focuses on psychological and instinctive needs of individuals. An explanatory, sequential mixed …


An Evaluation Of A Sixth Grade Intensive Mathematics Program And Impacts On Student Achievement, Tammy Dery Dec 2019

An Evaluation Of A Sixth Grade Intensive Mathematics Program And Impacts On Student Achievement, Tammy Dery

Dissertations

The purpose of thisevaluation is to analyze anIntensive Math program’s quality and design, as well as, address the impact of the program to determine whether the intensive mathematics class, and the use of computer-based support,impacts student achievement. The program design incorporates a two-prong model of teacher-directed and computer-based intervention. The relationship of the intensive mathematics curriculum implemented with struggling learners and closing the mathematics achievement gap are evaluated through the analyses of student data, the quality of implementation and program usability and teacher and teacher leader perspectives. The findings indicate that small groups and individualized attention for students is vital …


Observations Of A Multi-Component Intervention For Elementary Students With Emotional Behavioral Disorder After Self-Efficacy Coaching, Anna Kristen Bensinger Dec 2019

Observations Of A Multi-Component Intervention For Elementary Students With Emotional Behavioral Disorder After Self-Efficacy Coaching, Anna Kristen Bensinger

Graduate Theses and Dissertations

Students with Emotional and Behavioral Disorders (EBD) experience more negative student outcomes compared to other special education disability categories, specifically, higher dropout rates, less access to higher education and incarceration. Mathematically, 73% of students with EBD achieve below the 50th percentile on standardized tests (Wagner, Kutash, Duchnowski, Epstein, & Sumi, 2005). This study focused on the exploration of a multi-component mathematics and behavior intervention targeting student self-efficacy for productive learning behaviors in the general education mathematics classroom setting for elementary students with EBD. Participants for this study were students from two 4th grade classrooms, who have been identified with co-occurring …


Educators’ Perceptions Concerning The Leading Factors Of Mathematics Achievement In Top-Ranking Nations Around The World, Kendra Snow Nov 2019

Educators’ Perceptions Concerning The Leading Factors Of Mathematics Achievement In Top-Ranking Nations Around The World, Kendra Snow

Dissertations

The purpose of this study was to examine the perceptions of post-secondary mathematics educators from countries considered to be highly successful in the area of mathematics based upon results of international assessments. Four instructors were randomly selected from a homogenous sample within the nations of Canada, China, Japan, and Singapore to contribute information about the phenomenon of mathematical achievement. Frameworks from SRI International (2009), Matthews (2013), and Schoenfeld (2014) were integrated to design this study focused on curriculum, pedagogy and instructional approach, teacher knowledge and expectations, and organizational and social climate as possible factors that support student mathematical proficiency. Interviews …


The Effect Of A Blended Learning Instructional Model On The Mathematics Performance Of Sixth And Seventh Grade Students In A Small Northeastern Urban School District, Debra Joseph-Charles Oct 2019

The Effect Of A Blended Learning Instructional Model On The Mathematics Performance Of Sixth And Seventh Grade Students In A Small Northeastern Urban School District, Debra Joseph-Charles

Seton Hall University Dissertations and Theses (ETDs)

Closing the achievement gap has been the focus of education reform for decades. Federal educational reform policies No Child Left Behind (2002) and Race to The Top (2009) renewed attention on the achievement gap and the quest to find ways to improve student outcomes. The latter addressed the needs of 21st century learners, and as such, the need to look towards new, innovative ways of addressing students' individual needs. In 2010, in its National Educational Technology Plan, Transforming American Education: Learning Powered by Technology, the USDOE stressed that there needed to be a shift in how students were educated, …


How Different Grouping Methods Can Improve Students’ Mathematical Achievement In An Appropriate Setting, Hyangmee Oh Oct 2019

How Different Grouping Methods Can Improve Students’ Mathematical Achievement In An Appropriate Setting, Hyangmee Oh

School of Education and Leadership Student Capstone Theses and Dissertations

This research is about finding an appropriate grouping method in a classroom to improve students’ mathematical achievement in a small urban public charter school. It is looking for an answer to the question: Can an inquiry-based discourse taught using an ability-grouping method affect 8th grade students’ mathematical achievement as evidenced quantitatively through numerical self- surveys and scored standardized testing?

Each year, a school will have a different demographic with each student’s own unique math abilities. Thus, we need a solution to best and flexibly group students to adapt to each student’s math abilities based on the unique classroom environment. The …


The Effects Of Daily Math Talks On Number Sense Development In A Kindergarten Clasroom, Hallie Keenan Aug 2019

The Effects Of Daily Math Talks On Number Sense Development In A Kindergarten Clasroom, Hallie Keenan

Masters of Arts in Education Action Research Papers

The purpose of this research was to determine the impact that daily Math Talks have of the number sense development of Kindergartners. The study consisted of 22 Kindergarten students in a midwestern school. The data was collected over the course of four months using pre- and post-intervention self-assessments, observational teacher notes, NWEA standardized test scores, and Seesaw video recordings. Results show a positive correlation between daily Math Talks and increased number sense skills. The data shows positive effects on foundational number sense skills and mathematical ability and can be actively integrated into classrooms to help support student achievement and growth. …


The Principal’S Impact On The Success Of Mathematics Professional Development, Michael Chad Staheli Aug 2019

The Principal’S Impact On The Success Of Mathematics Professional Development, Michael Chad Staheli

Theses and Dissertations

Principal involvement is recognized as a key component to success in professional development implementation. Both the principal efforts undertaken, and the visions stated influence teacher development and student achievement. Using the instructional, transformational, and learning-centered models of leadership, as well as frameworks in vision, and organizational theory, this research sought to clarify the impact of principal involvement on student performance. Interview data was collected from 16 principals participating in a mathematics professional development program entitled the Comprehensive Mathematics Initiative. Of the participants, 9 of the principals were from schools that achieved high levels of student performance on standardized mathematics tests …


Influences Of Block Play On Academic Learning In Preschool, Kelsey Rasmuson Jul 2019

Influences Of Block Play On Academic Learning In Preschool, Kelsey Rasmuson

Graduate Teacher Education

Preschool classrooms often include free play time during the school day. Many studies have been conducted on the common sociodramatic play center, yet less research has observed the importance of block play. However, the block play center can be used to foster literacy and mathematics skills. Similar to other play centers, block play is a social phenomenon where students can develop language skills and vocabulary. Early math skills are supported as students count, sort, classify, and identify blocks. Students must also use spatial awareness and language to place blocks. Furthermore, preschoolers must problem solve and use logical and creative thinking …


A Semiotic Analysis Of Linguistic And Conceptual Development In Mathematics For English Language Learners, Hyunsook Shin Jul 2019

A Semiotic Analysis Of Linguistic And Conceptual Development In Mathematics For English Language Learners, Hyunsook Shin

Doctoral Dissertations

This study explores how an elementary mathematics teacher supported English language leaners’ (ELLs’) academic language and concept development in the context of current high- stakes school reform. The conceptual frameworks informing this study include Halliday’s theory of systemic functional linguistics (e.g., Halliday & Matthiessen, 2014) and Vygotsky’s sociocultural theory of concept development (Vygotsky, 1986). Specifically, this study analyzes the interplay between academic and everyday language and how this interplay can facilitate the development of what Vygotsky referred to as “real” or complete concepts as students shift from “spontaneous” to more “scientific” understanding of phenomenon (Vygotsky, 1986, p.173). This year-long qualitative …


Strategies To Enhance The Positive Effects Of Bilingualism, Danielle Mcmillan Jul 2019

Strategies To Enhance The Positive Effects Of Bilingualism, Danielle Mcmillan

School of Education and Leadership Student Capstone Projects

Supporting bilingual students is critical not only for the bilingual students but also for monolingual students. Prominent bilingualism in the classroom can translate to higher test scores, increased engagement, and long-term impacts on brain agility. This capstone project seeks to answer the question: What strategies are available to educators to enhance the positive effects of bilingualism in their students? The final result of this project is a website which includes a series of strategies focused on the four domains of language which seeks to meet the educational needs of both bilingual and mainstream students. The website includes a description of …


Content Specific Math Instruction To Improve English Language Learners' Comprehension Of Comparison Math Word Problems, Abigail Snyder Jul 2019

Content Specific Math Instruction To Improve English Language Learners' Comprehension Of Comparison Math Word Problems, Abigail Snyder

School of Education and Leadership Student Capstone Projects

The research question addressed in this project was, how can math instruction and comprehension of comparison word problems for ELL students be enhanced through content specific vocabulary on, many, more, and fewer, and combinations of these words? The research demonstrated a need for vocabulary knowledge for English Language Learners to comprehend mathematical word problems and acquire academic English. The project involved creating a ten day vocabulary unit addressing strategies for learning vocabulary found in the research. The Understanding by Design process was used in creating this project. This project utilizes the Math Expressions curriculum by Fuson (2009), utilized in the …


Comprehensible Input And Output In The Math Immersion Classroom: A Professional Development Series, Kimberly Kulhanek Jul 2019

Comprehensible Input And Output In The Math Immersion Classroom: A Professional Development Series, Kimberly Kulhanek

School of Education and Leadership Student Capstone Projects

The one-way immersion classroom provides a unique environment for students to learn content through instruction in their non-native language. However, students in early elementary grades typically have not had enough exposure to the target language to maintain sentence-level dialogue. The professional development series designed for this project uses the concepts of growth mindset, cognitively guided instruction, comprehensible input, and comprehensible output to increase students' ability to process and explain their mathematical thinking in the target language. Both growth mindset and cognitively guided instruction have been used in classrooms for years, but there has been little research into their implementation in …


Developing Specialized Content Knowledge For Equitable Practice In Mathematics: Exploring A Constructivist Approach To Preservice Teacher Education, Jane Rector Wilkes Jul 2019

Developing Specialized Content Knowledge For Equitable Practice In Mathematics: Exploring A Constructivist Approach To Preservice Teacher Education, Jane Rector Wilkes

Theses and Dissertations

A successful teacher education program prepares preservice teachers to provide high quality mathematics education for all students. In order to effectively address the needs of diverse and historically underserved groups of students, future teachers need to have a deep understanding of both basic content knowledge and pedagogical content knowledge. The purpose of this study was to examine ways to support preservice teachers in improving procedural and conceptual content mastery, as well as the specialized content knowledge that they will need in order to feel empowered to teach their future students.

Based on the theoretical frameworks of two components of mathematical …


Feminist-Infused Participatory Action Research To Promote Female Students’ Self- Efficacy In Mathematics, Nicole Hreno Jul 2019

Feminist-Infused Participatory Action Research To Promote Female Students’ Self- Efficacy In Mathematics, Nicole Hreno

Theses and Dissertations

Prompted by the manifestations of decreased levels of mathematical self-efficacy among the female students in my district, the purpose of this study was to investigate the source of self-efficacy development that was most influential among our female students and engage in praxis to combat these gender inequities. Grounded in critical feminist theory, I engaged six teacher-researchers in participatory action research through qualitative methodologies. Using questionnaires to examine the worldviews of our female students, the emergent study was guided by these voices which were previously silenced. The interventions employed were a direct result of the females’ expressed mathematical experiences, leading us …


Effects Of Differentiating Instruction Through Tiered Lessons In Special Education Secondary Mathematics, Katlyn Lewis Jun 2019

Effects Of Differentiating Instruction Through Tiered Lessons In Special Education Secondary Mathematics, Katlyn Lewis

Theses and Dissertations

This study examined the effects of differentiating instructing through tiered lessons to see if it would improve students' success in high school special education classes. The study was done in two Algebra II secondary special education classrooms including 17 students in total. There were 5 females and 12 males, all students were juniors in high school and aged 16 or 17 years old. All of the students were classified as either specific learning disabilities, other health impaired, or multiple disabilities including anxiety and depression. The students were enrolled in resources classes for all of their major academic subjects and inclusive …


The Effectiveness Of Growth Mindset Strategies On Off-Task Time In A Special Education Mathematics Classroom, Alisa Marie Ialacci May 2019

The Effectiveness Of Growth Mindset Strategies On Off-Task Time In A Special Education Mathematics Classroom, Alisa Marie Ialacci

Theses and Dissertations

The purpose of this study was to investigate the effects of growth mindset strategies on off-task time and attitude in a special education classroom. This research was done using a two-group pretest-posttest design where students with IEPs will be compared to those who do not have IEPs. Student on-task time was monitored prior to the intervention to give a pre-assessment of each student's off-task time. During the intervention, the students' behaviors were observed for signs of improvement. Growth mindset strategies were implemented during each class as needed for improving the overall mood. Overall the results showed a decrease in off-task …


The Effects Of Digital Games On Engagement And Motivation, Jamie L. Skala May 2019

The Effects Of Digital Games On Engagement And Motivation, Jamie L. Skala

Masters of Arts in Education Action Research Papers

The purpose of this study was to determine the effects of digital games on students’ engagement and motivation. This study took place in a small, rural school in the Midwestern United States. The subjects for this study were two classes of seventh-grade students in gradelevel mathematics. Digital review games and paper-and-pencil reviews were alternated from weekly for the eight weeks of the study. Data collection tools included student completed Likert scale questionnaires, on- and off-task counts and behaviors, a teacher reflection journal and final student questionnaire. The results showed that students were more behaviorally engaged during paper-and-pencil style reviews but …


Mathematical Perceptions: Changing Mindsets In Elementary School Classrooms, Marissa M. Bartelt May 2019

Mathematical Perceptions: Changing Mindsets In Elementary School Classrooms, Marissa M. Bartelt

Capstone Projects and Master's Theses

In classrooms throughout the country, you can hear students moan about the difficulty in learning mathematics. This senior capstone examines the students’ mindsets about mathematics in Monterey County through the use of literature review, classroom observations, and interview with teachers. The findings reveal that students’ mindsets can be changed over time if teachers have the right tools and appropriate training to help students.


Effects Of Online Program Vs. Handheld Flashcards On Multiplication And Division Fact Knowledge Of 4th Grade Learners With Exceptional Needs, Lindsay M. Siegman Apr 2019

Effects Of Online Program Vs. Handheld Flashcards On Multiplication And Division Fact Knowledge Of 4th Grade Learners With Exceptional Needs, Lindsay M. Siegman

Theses and Dissertations

This study utilized a time series design to investigate the effects of a computer-based math fact program called Xtramath.org vs. the use of traditional handheld flashcards. Students were given a baseline assessment before beginning the school district's method for learning basic math facts: Xtramath.org. They were tested again after 6 weeks and then began to use traditional handheld flashcards. Students were tested again to compare the results. Eight 4th grade students (5 male and 3 female) with special needs were included in this study. These students attend school in a wealthy, suburban area with a predominantly white population.

Fluency in …


Music And Its Application In The Classroom, Christian Mcknight Apr 2019

Music And Its Application In The Classroom, Christian Mcknight

Honors Projects

The purpose of this action research project is to determine if background music can be used to improve student test scores using the Mozart Effect. The participants were twenty-eight juniors and seniors from two Algebra II classes at Sylvania Southview High School. Each student in the study was given a control quiz, taken with no background music, followed by the experimental quiz, taken with classical music, specifically Mozart’s “Sonata for Two Pianos in D, K. 448”, playing in the background. The mean average of the students’ first quiz was 2.7% higher than the mean average of the second quiz taken …


How Discourse And Collaboration Can Be Used In Mathematics Classrooms To Promote Engagement And Learning, Emily Elsner Apr 2019

How Discourse And Collaboration Can Be Used In Mathematics Classrooms To Promote Engagement And Learning, Emily Elsner

School of Education and Leadership Student Capstone Projects

Educators are always looking for ways to promote engagement and achievement for their students. One thing secondary mathematics teachers can do to encourage engagement and achievement is to have students collaborate with each other on group-worthy tasks and engage in mathematical conversations and discourse. Chapter one of this Capstone gives background information as to why this work is important to the author and the author’s personal experiences with collaboration and discourse in mathematics. In chapter two, lots of research and literature is reviewed on the topics of mathematical mindsets, discourse, and collaboration. This chapter gives teachers ways to have students …


The Relationship Between Mindset And Motivation In An Alternative School Mathematics Classroom, Jo Ellen Dowdy Apr 2019

The Relationship Between Mindset And Motivation In An Alternative School Mathematics Classroom, Jo Ellen Dowdy

Theses and Dissertations

The purpose of this action research study was to determine the impact of a Khan Academy growth mindset lesson plan on the motivation of at-risk ninth grade students in a mathematics classroom. Data were collected for quantitative analysis of students’ self- reporting of perceptions pertaining to mindset beliefs before and after a mindset intervention and perceptions about motivation in the mathematics classroom. Analysis revealed there was no relationship between mindset and motivation. A minimal decrease in fixed mathematical mindset was determined after a Khan Academy mindset intervention. Increases were found in students’ beliefs in the importance of math, the usefulness …


The Impact Of Intelligent Tutoring Software On Geometry Students, Simela Oueini Apr 2019

The Impact Of Intelligent Tutoring Software On Geometry Students, Simela Oueini

Theses and Dissertations

This purpose of this paper is to deepen the understanding for a problem of practice in the mathematics educators’ classroom of low retention of information thus leading to poor mathematics achievement. The identification of the problem of practice led to a development of a research focus examining the effects of using intelligent tutoring software in the mathematics classroom and the impact it has on mathematics achievement, student motivation as it relates to self-efficacy, student engagement and attitudes towards mathematics. Using a convergent mixed methods approach (Creswell, 2012), this paper elaborates on the research questions addressing “What effects does the integration …


Telling Our Stories: Exploring The Path Toward Successful Mathematics Degree Attainment At An Under-Resourced Predominantly Black Institution, Lauren E. Mckittrick Jan 2019

Telling Our Stories: Exploring The Path Toward Successful Mathematics Degree Attainment At An Under-Resourced Predominantly Black Institution, Lauren E. Mckittrick

Electronic Theses and Dissertations

The under-representation of Blacks in mathematics related professions stems from an American educational system of inequity. Many Black students, including a substantial proportion of those who enroll at Predominantly Black Institutions, attend elementary and secondary schools in under-resourced districts with limited access to quality teachers and rigorous, culturally-relevant instruction that would adequately prepare them for college attainment in mathematics.

The primary research question guiding this study was: What are the challenges and opportunities associated with building and sustaining a successful mathematics degree program at an under-resourced Predominantly Black Institution? Concurrently, this interpretive case study examined and documented the experiences of …


A Qualitative Study Of Instructional Practices For English Learners In Elementary Mathematics, Katie Corinne Baum Jan 2019

A Qualitative Study Of Instructional Practices For English Learners In Elementary Mathematics, Katie Corinne Baum

Walden Dissertations and Doctoral Studies

It is important for elementary teachers to provide quality mathematics instruction for English Learner (EL) students to close achievement gaps. Elementary mathematics teachers in the Keystone School District were struggling to implement instructional practices for EL students in mathematics as evidenced by communications with teachers, administrators, and documents from the state-required action plan. The purpose of this study was to explore the instructional practices and the challenges encountered by teachers related to providing mathematics instruction for ELs. The Sheltered Instruction Observation Protocol Model served as the conceptual framework. The research questions focused on the instructional practices that teachers were implementing …


Teacher Beliefs About Providing Instruction For Gifted Students In Inclusive Mathematics Classrooms, Carrie Lynn Kizuka Jan 2019

Teacher Beliefs About Providing Instruction For Gifted Students In Inclusive Mathematics Classrooms, Carrie Lynn Kizuka

Walden Dissertations and Doctoral Studies

Kindergarten - Grade 12 (K-12) students identified as gifted in mathematics in the United States are not being appropriately challenged. Teachers are the most important school-related factor that contributes to student success; however, researchers have not explored the experiences of teachers who work with gifted students in inclusive mathematics classrooms. The purpose of this qualitative, transcendental phenomenological study was to explore the lived experiences of K-12 teachers who provide instruction for gifted students in inclusive mathematics classrooms. Bandura's social cognitive theory framed the study. Interview data were collected from 12 teachers who provide mathematics instruction for gifted students in inclusive …


Teachers' Perceptions Of The Sustainability Of Mathematics And Science Partnership Professional Development, Robert Harold Alt Jan 2019

Teachers' Perceptions Of The Sustainability Of Mathematics And Science Partnership Professional Development, Robert Harold Alt

Walden Dissertations and Doctoral Studies

The sustainability of improved pedagogy gained through professional development (PD) of mathematics teachers has undergone little empirical study. In a midsized urban school district in the Northeastern United States, all high school mathematics teachers attended a 3-year mandatory PD program. Although an external evaluator studied this program immediately after completion, there had been no longitudinal study of the perceptions of its participants regarding the sustained benefits of the program. This qualitative study offered a follow-up study of the participants in the Math and Science Partnership (MSP) PD program to provide insight to administrators regarding the sustainability of benefits gained through …