Digital Commons Network^™

Transforming Mathematics Education With Creativity, Natalie M. Zielinski

Culminating Experience Projects

Mathematics achievement in elementary and middle school students has decreased across the United States since 2019. Research has shown that moving away from traditional lecture-style teaching and implementing creative and application based learning can result in higher academic achievement and engagement. By utilizing challenging curricular tasks, Project Based Learning, and arts integration, students can be presented with more authentic and engaging academic content to deepen mathematical understanding and success. This project explores the benefits and effects of integrating creative teaching strategies into the mathematics classroom as an equitable teaching approach. Through the use of non-scripted curricular tasks, Project Based Learning, …

An Investigation Of The Effects Of Self-Efficacy On Stem Implementation, Caroline Buechel

Curriculum and Instruction Undergraduate Honors Theses

In order to equip students with the 21^st Century skills necessary for today’s society, STEM education must be properly implemented in school curricula (Lamb, Akmal, & Petrie, 2015). To do so, it is important for teachers to possess both proficient knowledge of the subject matter and confidence towards the implementation of STEM. A person’s beliefs about their ability is known as their self-efficacy (Bandura 1997). Related to education, Bandura notes that this self-efficacy affects a teacher’s views on their ability to handle tasks, obligations, and challenges related to a challenge (1997). Additionally, numerous studies indicate that this self-efficacy in …

Mathematics Teachers’ Pedagogical Content Knowledge And Its Relation To Student Achievement, Michelle Emmalyn Peters-George

Walden Dissertations and Doctoral Studies

Students' performance in national assessments of mathematics at Grades 2, 4, and 6 has been a cause for concern in the Eastern Caribbean. Researchers have called for studies to focus on primary mathematics teachers' pedagogies rather than on laptops and curriculum; however, it is unclear how primary mathematics teachers' pedagogical knowledge influences these student’s achievement. The purpose of this quantitative study was to investigate the relationship between primary mathematics teachers' pedagogical content knowledge (mathematical knowledge for teaching, quality of instruction, and pedagogical qualifications) and student achievement, measured by national assessment scores in Grenada, controlling for teachers’ age, gender, and experience. …

Examining The Specialized Math Content Knowledge Of Elementary Teachers In The Age Of The Common Core, Stephanie Purington

Doctoral Dissertations

Mathematical standards for students have increased with the development of the Common Core State Standards for Mathematics and its accompanying high stakes testing. Teachers need strong conceptual knowledge of the mathematics they teach in order to give students the opportunity to learn that math deeply. An earlier study (Ma, 1999) found that US elementary teachers lack the deep knowledge to teach math conceptually. Given the mathematics standards movements of the last two decades, it is plausible that the knowledge base of teachers has changed. Using the framework of Specialized Content Knowledge (SCK), which is the knowledge required to teach math …

The Common Core State Standards In Mathematics For Place Value: Developmentally Appropriate Or Not?, Sarah N. Hughey

Masters Theses

This exploratory case study examines the developmental appropriateness of the Common Core State Standards in Mathematics (CCSSM) for place value for second through fourth-grade students. A correlation analysis was performed on end of year scores from the 2018-19 school year on a standardized norm-referenced test and a conceptually-based interview assessment from the Math Recovery program (AVMR) on 137 students from one school in the Midwest. An item analysis was also performed on AVMR assessments for 70 students from the 2019-20 school year. The results showed that second and third-grade students did not display the expected amount of growth in conceptual …

The Influence Of Professional Development Methods On Student Mathematics Performance In New Jersey Public Elementary Schools, Xanthy Karamanos

Seton Hall University Dissertations and Theses (ETDs)

This quantitative study was developed to determine the influence of professional development methods on student academic performance in elementary mathematics. The study also reviews the relationship between content that was delivered in professional development programs and student performance. Additionally, the research analyzes the difference in student math performance when professional development decisions are made by administrators versus a mixed group of stakeholders. An online survey was conducted to collect data from district- and school-level administrators in New Jersey public school districts that serve elementary students from grades three to six. The study includes representation from 11.4% of public school districts …

First Grade Educators' Perceptions Of Their Confidence To Integrate The West Virginia Mathematical Habits Of Mind Into Classroom Practices, Monica Lynn Dellamea

Theses, Dissertations and Capstones

Mathematical proficiency during the early years is directly linked to later success in life, both regarding academics and economics. First grade educators must have the knowledge and skills to integrate the West Virginia Mathematical Habits of Mind (WV MHM) into their existing classroom instructional practices to help establish strong foundations for mathematical learning and thinking early on in children’s lives. This study investigated first grade educators’ perceptions of their confidence with integration of the WV MHM into their classroom instructional practices. Barriers to and supports for implementation, as well as educator demographics, were examined to determine any effect they may …

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 …

Teachers' Perceptions About Instructing Underachieving K-5 Students On Mathematical Word Problem-Solving, Crystal Yvette Baldwindouglas

Walden Dissertations and Doctoral Studies

The state of Maryland has implemented the Common Core State Standards for Mathematics (CCSSM) operations & algebraic thinking and number & operations-fractions with emphasis on students in Grades K-5 acquiring the ability to solve word problems for state and curriculum math assessments. However, since the implementation of CCSSM, 30% of elementary students in a Maryland school district have demonstrated underachievement (basic or below basic level) on problem-solving sections of the state and school standardized tests. This qualitative case study, guided by Polya's model of the four phases of mathematical problem-solving, was conducted to address this problem. The research questions addressed …

Technological Resources Versus Non-Technological Resources, Samantha Sapa

Dissertations, Theses, and Projects

The purpose of this study is to help show that using technology as an instructional strategy will benefit students’ knowledge on certain concepts. Improving focus and engagement will lead to increased knowledge of students. This study’s participants included ten randomly selected second-graders. They focused on the concept of 2-dimensional and 3-dimensional shapes. At the beginning of this study, they were given a pre-assessment (see Appendix A) to show their current knowledge. When this study was completed, a post-assessment (see Appendix B) was given. Comparing the results of these two assessments helped to show that using technology, during teacher-led instruction, benefited …

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 …

Elementary Teachers' Affective Relationship With Mathematics And Its Influence On Mathematics Instruction, Kelly Kreitzer Sutton

Walden Dissertations and Doctoral Studies

In a South Carolina school district, approximately 45% of 3rd-5th grade students performed poorly on the state mathematics test. K-5 teachers attended district training to improve mathematics instruction and content mastery, but the training omitted teachers' affective domain in teaching. Teachers' affective relationships with mathematics (ARM) affects content delivery, instructional decisions, and teachers' confidence levels and motivation. The purpose of this sequential mixed methods study was to investigate whether teachers' years of experience, grade levels taught, or past mathematics experiences influenced K-5 teachers' ARM, as measured by the ARM survey, and to explore teachers' perceptions of their ARM in instruction. …

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

USF Tampa Graduate Theses and Dissertations

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

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

Walden Dissertations and Doctoral Studies

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

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

Dissertations

The Problem

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

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

Walden Dissertations and Doctoral Studies

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

The Impact Of Experience On Elementary School Teacher Affective Relationship With Mathematics, John Salzer

Ed.D. Dissertations

This study was designed as an exploratory examination of the impact of teaching experience on elementary school teachers’ affective relationships with mathematics. A self-reporting survey was used to examine a wide variety of experience factors, including factors related to quantity of experience, type of experience, and post-certification training opportunities (n = 275). Participants were also asked to identify services that might impact their affective relationships with mathematics. This study resulted in recommendations for seven follow-up studies to gain insight into factors that significantly correlated to teacher attitudes toward math or to their perceived changes in attitudes over time. Recommended practices …

Effects Of Explicit Subtraction Instruction On Fifth Grade Students With Learning Disabilities, Danielle Ferreira

UNLV Theses, Dissertations, Professional Papers, and Capstones

This study involved an investigation of the effects of strategy instruction integrated with the concrete-representational-abstract teaching sequence on students with learning disabilities. A multiple probe design across subjects with one replication was used in this study. Two sets of data were analyzed to determine effectiveness of the independent variable (intervention lessons). The first data set consisted of pre and posttest percentage scores and the second data set consisted of baseline, intervention, and maintenance probe scores that were collected throughout the study per the parameters of a multiple probe design. The probe scores were plotted in line graph format and analyzed …

It's All About The Teachers: Bank Street's Math For Teachers As Professional Development, Robin Hummel

Graduate Student Independent Studies

This work describes a professional development initiative that was based on the graduate course, Mathematics for Teachers in Diverse and Inclusive Educational Settings (K-6), taught by Linda Metnetsky at Bank Street College of Education. The author wrote and implemented this professional development initiative for teachers in her former district: a large, middle class, suburban school district outside of Philadelphia. It consisted of six full day sessions, held from October through April during the 2004-05 school year. Eleven teachers from third, fourth, and fifth grades participated, and the impact of this professional development on two participants is the focus of this …

Listening To Student Voices: Fifth Graders' Perceptions Of Their Mathematics Learning Within The Context Of A Mathematics Reform, Elizabeth Hoffman

Electronic Theses and Dissertations

This qualitative study explored fifth graders' perceptions of their mathematics learning within the context of a reform effort. Students' voices are the focus of this study due to the paucity of literature on student learning from the students' perspective (Erickson & Shultz, 1992), particularly the elementary student (Gentilucci, 2004). The participants of this study, who in the past have been given a variety of labels including "disadvantaged" or "at-risk," clearly articulated, even in nonstandard English, their perceptions of their mathematics learning. They passionately explained what helped them learn mathematics as well as what impeded their mathematics learning and were often …

Collaborating With Colleagues To Improve Student Learning Using The Connected Mathematics Project, Margaret D. Seifer

Graduate Student Independent Studies

I am a teacher of mathematics at Millburn Middle School, Millburn, New Jersey. During my nine years at Millburn, I have taught using the Connected Mathematics Program (CMP) for seven years to eighth graders and before that, I taught CMP in it's pilot stage to sixth graders.

This guide is a result of my thinking and learning during my time at Bank Street College. The guide is based on a journey through my learning as a professional developer. It is a tool which, I hope, will be of some use to other CMP leaders. It is hoped that if such …

A Comparison Of Students' Anxiety Levels While Taking Computer Versus Paper And Pencil Timed Math Tests, Angela S. Jungerman

McCabe Thesis Collection

The purpose of this research is to compare and contrast the anxiety levels of students before and after taking the computerized timed math test with the levels before and after taking the paper-and-pencil timed math test. Two second-grade classes were used in this research with each student taking each test once. The computer test, found at www .saxonpublishers.com/activities/basic fact_ sheets/, consisted of 50 addition questions to be completed in 30 seconds, and the paper-and-pencil version, adapted by the researcher from a Saxon created test, consisted of 100 addition questions to be completed in 60 seconds. The students' blood pressures and …

The Level Of Mathematical Understanding Possessed By Prospective Elementary Teachers, William Dean Vodarski

All Master's Theses

It was the purpose of this study to determine the level of mathematical understanding possessed by prospective elementary teachers graduating from Central Washington State College. It was also the purpose to determine if the measured level of mathematical understanding is related to such factors as sex, education classes completed, mathematics classes completed, and grade level of student teaching.