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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 …

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 …

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 …

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 …

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 …

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 …

Preserving Ideals Of Chemical Reaction Networks, Mark Curiel

Master's Theses

Under the assumption of mass-action kinetics, every chemical reaction network has an associated polynomial dynamical system. Rather than study the dynamics of this system, we shall study the ideal generated by the polynomials in the system called the steady state ideal. In this thesis, we will show that there is a combinatorial way to determine the existence of monomials in the steady state ideal using the underlying structure of the network. This allows us to prove that there is a combinatorial condition that is enough to guarantee the steady state ideal is monomial. We introduce three operations on chemical reaction …

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

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 …

A Foundation For Understanding The Neurocognitive Processes That Underlie Mathematics Performance In Children, Christopher Anzalone

Theses and Dissertations

The current study investigated the prognostic utility of resting state EEG coherence in the prediction of standardized mathematics scores. Quantitative EEG analyses were performed for 60 school-aged children (ages 7 to 12 years) with and without math learning disabilities (MLD). Analyses assessing intrahemispheric coherence at rest were performed across the entire sample and several coherence networks were extracted.

Specifically, networks that included Brodmann area 40 (BA 40) -- a region of the brain heavily involved in the cognitive processes responsible for mathematics performance (Anderson, Betts, Ferris, & Fincham, 2011; Cohen, Dehaene, Chochon, Lehericy, & Naccache, 2000; Kroger, Nystrom, Cohen, & …

Investigating The Transfer Of Metacognition To Domains Distinct From Mathematics, Justin Teeuwen

Electronic Theses and Dissertations

The purpose of the present research was to investigate the transfer of metacognition from mathematics to other domains for a post-secondary population. A systematic literature review revealed potential transferability for metacognitive strategic knowledge, metacognitive planning, monitoring, and debugging. Mevarech and Kramarksi’s (1997) IMPROVE model was modified to incorporate the explicit instruction of transfer and then used as the metacognitive intervention for a beginner-level calculus course at the University of Windsor. This occurred over a period of five weeks with n = 90 participants for each of the experimental and control groups. A concurrent, triangulated mixed-method research design was employed to …

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

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 …

On Free-Type Rigid C*-Tensor Categories And Their Annular Representations., B. Madhav Reddy Dr.

Doctoral Theses

No abstract provided.

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

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 …

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 …

Introduction Of Infinite Series In High School Level Calculus, Ericka Bella

Masters Essays

No abstract provided.

Algebraic Topics In The Classroom – Gauss And Beyond, Lisa Krance

Masters Essays

No abstract provided.

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

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

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

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 …

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 …

Calculus Remediation As An Indicator For Success On The Calculus Ap Exam, Ty Stockham

Electronic Theses, Projects, and Dissertations

This study investigates the effects of implementing a remediation program in a high school Advanced Placement Calculus AB course on student class grades and success in passing the AP Calculus AB exam.

A voluntary remediation program was designed to help students understand the key concepts and big ideas in beginning Calculus. Over a period of eight years the program was put into practice and data on student participation and achievement was collected. Students who participated in this program were given individualized recitation activities targeting their specific misunderstandings, and then given an opportunity to retest on chapter exams that they had …

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 Challenging Experiences Of The Graduate Mathematics Teaching Assistant, Zoe Cramer

Master's Theses

This study investigates the challenges that beginning graduate mathematics teaching assistants (MTAs) face and suggests possible solutions to aid in their transition to teaching. Interviews and surveys were conducted with both beginning and experienced MTAs to better understand their experiences.

Women Not Welcome: A Study Of Gender Inequality And Leadership In Stem, Stephanie Eikermann

M.A. in Leadership Studies: Capstone Project Papers

Despite societal advancements in gender equality within the workplace, the science, technology, engineering and mathematics fields continue to be male-dominated today. Not only is there a disparity between women and men in these workplaces, women have been made to feel unwelcome in the STEM industries by the masculinized culture that characterizes these companies and organizations. This masculinized culture brings negative gender ideologies about the female gender which includes stereotypes that doubt the competence and abilities of women. When this masculinized culture is threatened by the presence of women, male employees have the tendency to respond emotionally in ways that alienate …

Mathematical Models Of Biochemical Switch Networks, Cassandra A. Mohr

Honors Capstones

This project centers on mathematical applications to biochemistry. Specifically, the use of a dynamical system to model a special type of biochemical network and determine the effect of initial concentrations on the existence of several constant solutions. Many biochemical networks act as biological switches that are responsible for important biological functions such as cell differentiation and cell death; consequentially, the ability to better predict and manipulate their outcome is of great importance. One particularly insightful and relatively simple form of biochemical mechanism is that of the reversible substrate inhibition reaction. Utilizing basic principles of mathematics and chemistry, it is possible …

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.