Education Commons^™

Parents' Experiences At A Mathematics Workshop Focused On K-2 Content, Abigail W. Wilkerson

Honors College Theses

Parents’ beliefs towards math have been shown to impact their children’s academic achievement in the subject (Elliott & Bachman, 2018; Maloney et al., 2015). With the constant changing of math standards, the math taught in today’s schools may be different from the way parents were taught math. This change can lead to feelings of discomfort or nervousness when the subject is brought up. A parent workshop geared towards helping parents better understand the way math content is being taught can help them to feel more comfortable with math and more prepared to help their children. To help combat this issue, …

Creative Learning With Music And Mathematics: Reflections On Interdisciplinary Collaborations, Graham Johnson, Alesia Mickle Moldavan

Department of Elementary and Special Education Faculty Publications

Culturally responsive content, accessible and inclusive tools, and meaningful interdisciplinary tasks can aid in developing equitable and creative learning environments. Music and mathematics are ideal disciplines for interdisciplinary creative learning. In this article, we reflect on our experiences engaging in interdisciplinary music and mathematics tasks with preservice teachers. In particular, we highlight specific efforts taken to design and implement a creative music and mathematics workshop for use in a mathematics methods course. Guided by these experiences, we offer examples of tools and practices that have helped preservice teachers collaborate, engage in inquiry, improvise, develop empathy, and take intellectual and social …

Arts-Based Interdisciplinary Music And Mathematics Tasks: Exploring Conceptualizations Of Equitable Creative Learning In Teacher Education, Alesia Mickle Moldavan, Graham Johnson

Georgia Educational Researcher

Preservice teachers need opportunities in teacher education courses to explore arts-based interdisciplinary learning that can inspire connections between communities of practice and allow learners to integrate concepts and imagine creative possibilities. This study reports on preservice teachers engaged in a workshop on arts-based interdisciplinary music and mathematics tasks. Data included surveys, task-related artifacts, and participant observations to examine how preservice teachers conceptualize and engage in such tasks. Three resonating themes were identified, revealing that preservice teachers generally thought (a) music and mathematics are more engaging and relatable in interdisciplinary contexts than when taught alone, (b) interdisciplinary music and mathematics tasks …

Providing Virtual Mathematics Feedback: Connecting Research To Practice, David Glassmeyer, Mary Colclasure, Laura Alevy

Georgia Educational Researcher

Feedback is an essential form of communication between the student and teacher. Research has documented the importance of feedback in advancing student mathematical and critical thinking, with renewed recommendations to provide and use feedback in mathematical instruction during the era of COVID-19. Giving personalized feedback in an online environment can be a challenge – especially in a mathematics class. This article summarizes five core principles of feedback, associated strategies for mathematics teachers to provide students virtual feedback, and notes on how we have implemented these strategies in middle school mathematics classes.

Integrating Mathematics, Science, And Literacy Into A Culturally Responsive Stem After-School Program, Shelli L. Casler-Failing, Alma D. Stevenson, Beverly A. King Miller

Current Issues in Middle Level Education

This manuscript shares the implementation of an after-school literacy in STEM (science, technology, engineering, and mathematics) program designed for middle grade students to increase their interest in science and mathematics learning. This program was conducted at our local Boys and Girls Club facilities where students learned about four science topics (renewable energy, water cycle, Newton’s laws, and natural disasters). Students participated in culturally responsive reading and writing activities incorporating culturally relevant books, journal writing, hands-on projects, and a culminating science fair presentation on a topic of their choice. The authors determined that using literature, particularly culturally responsive picture books and …

Predictors Of Student Academic Success In The Corequisite Model, Damon Andrews, Steven Tolman

Georgia Journal of College Student Affairs

The purpose of this study was to determine predictors of community college student academic success in corequisite English and mathematics courses. Academic success was defined dichotomously on a pass or fail basis. The population included 1,934 students enrolled in at least one corequisite English and/or mathematics course at a community college between the fall semester of 2015 and summer semester of 2018. Binary logistic regression was used to examine the fol- lowing predictors: a student’s sex, race, age at time of enrollment, Pell Grant recipient status, first-generation college student status, high school grade point average (HSGPA), placement test scores, academic …

Supporting Middle School Students In Tier 2 Math Labs: Instructional Strategies, Emily C. Bouck, Jiyoon Park, Mary Bouck, Jim Alspaugh, Stacey Spitzley, Angela Buckland

Current Issues in Middle Level Education

Response to Intervention (RtI) has become a common support system for students; yet, no universal RtI model exists, especially for mathematics and specifically at the middle school level. This article focuses on a specific model for delivering Tier 2 mathematics supports and services at the middle school level: math labs. Evidence–based and research–supported interventions are discussed that support the delivery of Tier 2 services within a middle school math lab RtI structure. A fictionalized vignette, drawing from multiple actual cases, is presented to highlight the use of a Tier 2 math lab within a middle school setting.

The Interview Project: A Way Of Bridging Theory And Practice In Early Childhood Mathematics Preservice Teacher Education, Doris Santarone

Georgia Educational Researcher

Twenty-nine early childhood preservice teachers (PSTs) participated in an Interview Project. The project’s goals were for the PSTs to apply their knowledge of research on children’s mathematics in their interactions with a child and to learn to listen to and learn from children. The purpose of the study was to evaluate the project and determine whether it met these goals. Pre and post data were collected, and I found that the PSTs showed a significant improvement in their ability to describe and analyze a child’s mathematics and to use their listening to make appropriate instructional decisions. In addition, I found …

The Effects Of Integrating Lego Robotics Into A Mathematics Curriculum To Promote The Development Of Proportional Reasoning, Shelli L. Casler-Failing

Proceedings of the Interdisciplinary STEM Teaching and Learning Conference (2017-2019)

A mixed methods, action research case study was conducted 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. This study applied students’ prior knowledge of the distance, rate, and time formula as they used LEGO EV3 robots to calculate the rate of a robot. The information gained was applied to different iterations, and structures, of the formula to support the development of proportional reasoning skills. The purposefully designed lessons were integral to the development of the students’ understanding of the proportionality existing …

Integrating Lego Robotics Into A 5th Grade Cross Curricular Unit To Promote The Development Of Narrative Writing Skills, Shelli L. Casler-Failing

Proceedings of the Interdisciplinary STEM Teaching and Learning Conference (2017-2019)

This paper describes a unit designed to promote the development of narrative writing skills among 5^th grade students through the use of LEGO robotics. Over the course of four, two and one-half hour sessions (one day per week for four consecutive weeks), the students learned how to construct and program robots, write and present a proposal to complete a mission, and connected the learning to their personal experiences with Hurricane Irma. The students began the activity with prior knowledge of World War II and Hiroshima. After learning the basics of building and programming robots, they were presented with a …

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 …

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

Electronic Theses and 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 …

Possibilities And Challenges Of Teaching Integrated Math And Social Studies For Social Justice: Two Teacher Educators' Collaborative Self-Study, Paula P. Guerra, Sohyun An

Georgia Educational Researcher

In this paper, we—one mathematics teacher educator and one social studies teacher educator—describe a project where we collaborated to model teaching integrated mathematics and social studies for social justice in our methods courses. We encountered varied challenges in our efforts to prepare teacher candidates for social-justice-oriented lessons. These challenges included teacher candidates’ perception of authority/credibility of their professors who were foreign females from the “Third World”, teacher candidates’ deficit views on minoritized students, and the limited time and resources for teacher collaboration in teacher education. Despite these challenges, we believe this kind of project is necessary to move forward in …

Examining The Development Of Culturally Relevant Pedagogy For Preservice Secondary Mathematics Teachers, Natasha Ramsay-Jordan

Georgia Educational Research Association Conference

Culturally responsive mathematics pedagogy (CRMP) should be valued and presented as the norm for teachers so that students from diverse backgrounds can access essential mathematical knowledge (Aguirre & del Rosario, 2013; Bonner & Adams, 2012; Leonard & Moore, 2014). Prospective teachers of diverse students need to have opportunities in their professional study to develop the shared knowledge, perceptions and attitudes required for effective implementation of culturally responsive mathematics pedagogy (Gay, 2002). The purpose of this study is to begin investigative and exploratory work through the coupling of qualitative research methodology and critical race theory to examine preservice secondary mathematics teachers’ …

Lefschetz Contact Manifolds And Odd Dimensional Symplectic Geometry, Yi Lin

Department of Mathematical Sciences Faculty Publications

In the literature, there are two different versions of Hard Lefschetz theorems for a compact Sasakian manifold. The first version, due to Kacimi-Alaoui, asserts that the basic cohomology groups of a compact Sasakian manifold satisfies the transverse Lefschetz property. The second version, established far more recently by Cappelletti-Montano, De Nicola, and Yudin, holds for the De Rham cohomology groups of a compact Sasakian manifold. In the current paper, using the formalism of odd dimensional symplectic geometry, we prove a Hard Lefschetz theorem for compact K-contact manifolds, which implies immediately that the two existing versions of Hard Lefschetz theorems are mathematically …

Rigor Demystified, Now What?: Applying & Aligning Webb’S Depth Of Knowledge To Literacy & Math Instruction., Barbara Serianni, Kelly Brooksher

National Youth Advocacy and Resilience Conference

After exploring the four levels of cognitive rigor in Webb’s Depth of Knowledge (DOK) and the alignment to the Common Core. Participants will further engage in hands-on activities designed to model the application of DOK in the content areas of literacy and mathematics to improve instructional alignment, increase student engagement, and ensure appropriate rigor in classroom activities and assessment.

Mathematical Writing Assignment For Deeper Understanding And Process Writing, Colton Magnant, Saeed Nasseh, Teresa Flateby

Department of Mathematical Sciences Faculty Publications

Brief Description: The broad goals of this writing assignment are two-fold: 1) To delve deeper into the inner workings of a chosen proof and explore fundamental motivation of the chosen result. 2) To enhance student learning in the area of academic writing in the discipline of mathematics.

By walking the students through a process of academic writing, we address the following DQP proficiencies: Specialized Knowledge, Applied and Collaborative Learning and Intellectual Skills - Use of Information Resources, Mathematics-Specific Intellectual and Practical Skills and Communicative Fluency.

Background and context: This assignment has been used in a Mathematical Structures (introduction-to-proofs) course and …

Analyzing Mathematics And Ap Statistics Assessment Items In Terms Of The Levels Of Thinking Skills They Assess, Shadreck S. Chitsonga

Georgia Educational Researcher

This study is a part of a large study that investigated the Assessment Practices of Mathematics Teachers who also teach AP Statistics. In this paper I investigate the thinking skills that assessment items used mathematics and AP Statistics classroom assess. Two teachers who were teaching mathematics and AP Statistics participated in this study. Each teacher was observed 12 times in class. Artifacts were also collected from each teacher, mainly oral questions and written questions. A mathematics taxonomy framework was used to analyze the characteristics of the assessment items. The results of the study indicated that assessment questions (oral and written) …

Student Perceptions Of Caring Mathematics Instruction, Andrew B. Spires

Georgia Educational Research Association Conference

In my study I would like to examine how students who are part of a ninth grade mathematics intervention program describe caring mathematics instruction. Researchers have shown the importance of caring instruction especially as it relates to high school mathematics instruction of students who have a history of academic struggles and failure. Given that caring is a complex construct, students’ perceptions of teacher caring not only has the potential to inform high school mathematics instruction but also could lead to healthier and stronger teacher-student relationships.

Mastery Learning For 9th Grade Mathematics: Can The Self-Fulfilling Prophecy Close The Achievement Gap?, Rhonda Jeffries, Hope Reed

National Youth Advocacy and Resilience Conference

This presentation critiques educational tracking as a default system of grouping that perpetuates inequities particularly for students most likely to experience challenges with academic achievement (Rubin & Noguera, 2004). The research explores the mastery learning method in 9th grade Algebra I CP to improve achievement for students who enter high school without Pre-Algebra skills.

Teacher Influence On Elementary School Students’ Participation In Science, Technology, Engineering, And Mathematics, Courtney Hartman

Honors College Theses

The purpose of this study is to explore the influence of elementary school teachers on encouraging students’ interest and participation in Science, Technology, Engineering, and Mathematics. The researcher sought to understand what methods teachers use in their classrooms to encourage students to participate in STEM subjects and programs. This mixed methods study consisted of a questionnaire to collect quantitative data, as well as an interview of selected teachers who participated in the questionnaire to collect qualitative data. The data was analyzed to determine the overall perceptions of teachers regarding the importance of encouraging students to participate in STEM. The qualitative …

A Case Study Of How Ninth Grade Mathematics Students Construct Knowledge During A Productive Failure Model, Amy F. Westbrook Dr.

Georgia Educational Research Association Conference

The purpose of this qualitative study was to explain how ninth grade mathematics students at a rural high school in Georgia constructed knowledge through student talk when problem solving using Kapur’s (2012) productive failure design. An embedded case study design was used to understand how a group of students constructed knowledge through their use of talk, persistence during the task, and use of prior knowledge while working on a productive failure modeled task. Triangulation resulted from the collected data from multiple sources, which included videotaping, interviewing, and analyzing student artifacts. Utilization of the constructivist perspectives of Vygotsky (1934/1962), Piaget (1971), …

Beliefs Of Efficacy And Elementary Teachers’ Computational Skills, Vanessa Hinton, Margaret Flores, Kate Simmons

Georgia Educational Researcher

Early mathematics content that is taught in elementary school lays the foundation for students’ advanced mathematics performance. Thus, researchers show it is important that pre-service elementary teachers build a strong background in numbers and operations, as well as efficacy beliefs in mathematics instruction. This study expands the literature in the investigation of pre-service teachers’ efficacy beliefs and mathematical knowledge by making comparisons of pre-service elementary teachers’ views of efficacy to their overall ability in computation skills. Results show that elementary pre-service teachers who demonstrated lower scores in efficacy beliefs also had significantly lower computation scores. Implications for teacher preparation are …

Classworks As A Means To Gaining Equity In The General Education Math Classroom: Perceptions Of Students Receiving Special Education Services, Diane Marshall

Electronic Theses and Dissertations

With the importance of math steadily increasing, researchers in the field of special education have made efforts to increase the performance of students with disabilities (Fuchs et al., 2008; Gersten, Jordan, & Flojo, 2005). Despite the deficits these students face, the trend has been for many years that most students with disabilities in math receive their instruction in the general education classroom. The purpose of this study was to examine the perceptions that students receiving special education services have regarding the effectiveness of Classworks, a computer-assisted instructional program, in helping them gain equity in the general education math classroom. Critical …

Paper 2: Design Considerations For Visually-Aided Discussion Prompts: Emphasizing Mathematical Reasoning In Teacher Education, Anne Marie S. Marshall, Kadian M. Callahan

Georgia Association of Mathematics Teacher Educators (GAMTE) Annual Conference

The availability and familiarity of online discussion tools create new instructional options that teacher educators can use to foster prospective teachers’ understanding of mathematics. In particular, online discussion blogs provide an avenue through which teacher educators can press prospective teachers to explore mathematical concepts and share their mathematical reasoning with peers. Furthermore, by incorporating visual stimulations as a design component of these discussion blogs, prospective teachers can make sense of and respond to others’ ideas about mathematical concepts with greater clarity. This paper shares preliminary findings of a research study that examined the extent to which the design of a …

Design Considerations For Visually-Aided Discussion Prompts: Emphasizing Mathematical Reasoning In Teacher Education, Anne Marie S. Marshall, Kadian M. Callahan

Proceedings of the Annual Meeting of the Georgia Association of Mathematics Teacher Educators

The availability and familiarity of online discussion tools create new instructional options that teacher educators can use to foster prospective teachers’ understanding of mathematics. In particular, online discussion blogs provide an avenue through which teacher educators can press prospective teachers to explore mathematical concepts and share their mathematical reasoning with peers. Furthermore, by incorporating visual stimulations as a design component of these discussion blogs, prospective teachers can make sense of and respond to others’ ideas about mathematical concepts with greater clarity. This paper shares preliminary findings of a research study that examined the extent to which the design of a …

Is There A Difference In Motivation And Mathematics Self-Efficacy Among Online Mathematics Instructional Video Viewers, Charles Edgar Hampton

Instructional Technology Education Specialist Research Papers

Researching US K-12 STEM proficiency reveals severe and widespread consequences, for post-secondary and vocational environments. Sources in both environments cite lack of skills and competency as the major cause of increasing remedial mathematics enrollment and growing unemployment. One reasonable and simple method of better preparing students is the viewing online mathematics instructional videos. Online mathematics instructional videos are widely available, efficacious, and free to access via KhanAcademy.org and YouTube’s Education portal. Mobile, personal, and desktop technology device ownership and free WIFI or reduced price Internet service is increasing dramatically each year, so means of access are not a problem. This …

Creating A Faculty Learning Community To Support Scholarship Of Teaching And Learning Among Stem University Faculty, Cher C. Hendricks, Myrna Gantner

Interdisciplinary STEM Teaching & Learning Conference (2012-2019)

In this session, we describe the creation of a Faculty Learning Community for university faculty in science, mathematics, and computer science. These faculty, recipients of mini-grants funded by the USG STEM Initiative, are studying ways to improve their instruction and increase student learning in STEM courses. Through the FLC, they are able to collaborate and support each others’ work.

Trig-Star, James M. Anderson

Interdisciplinary STEM Teaching & Learning Conference (2012-2019)

A TRIG-STAR is a mathematics student who has demonstrated in competition that he or she is the most skilled among classmates in the practical application of trigonometry. The competition for the honor is a timed exercise which is the solving of a trigonometry problem that incorporates the use of right triangle formulas, circle formulas, the law of sines, and the law of cosines. The contest helps to promote careers in surveying and mapping to students at the High Schools across the country. The award is sponsored by the National Society of Professional Surveyors and cosponsored locally. State winners also have …

Integrating Manipulatives To Improve Fraction Concepts, Rachel Dunn

Interdisciplinary STEM Teaching & Learning Conference (2012-2019)

Many students are overwhelmed by mathematics because the language is too difficult, the teaching strategies are insufficient or they have lost motivation. With a recent emphasis on meeting the Common Core expectations, using manipulatives to eliminate misconceptions in the mathematical classroom has become even more prevalent. I explored the misconceptions that many students struggle with and provided possible methods of eliminating them at all levels for learning. During this investigation, I studied the effect of manipulatives on students’ understanding of fraction concepts and the students’ conceptions of the unit of reference when working with fraction word problems. I learned that …