Education Commons^™

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

Journal of Practitioner Research

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

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

Master of Education Program Theses

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

Testing Our Assumptions: The Role Of First Course Grade And Course Level In Mathematics And English, Janet Callahan, Marcia Belcheir

Materials Science and Engineering Faculty Publications and Presentations

Methods that provide an early indicator of factors that affect student persistence are important to colleges and universities. This quantitative research focused on the role of level of entry mathematics and English and also on grades earned in those classes as they relate to persistence after one year. The research showed that by far, the variable most predictive of first-time, full-time students enrolling one year later was earning a grade of “A” in English. Compared to those who did not pass their first English course, students who earned an “A” were three times more likely to persist. The variables which …

Let's Get Physical! Teaching Mathematics Through The Lens Of Physics, Peggy Bertrand Ph.D., Lauren Jeneva Clark Ph.D.

Faculty Publications and Other Works -- Mathematics

In 2017, a professional development project, Let's Get Physical! Teaching Mathematics through the Lens of Physics, was funded by a Tennessee Higher Education Commission (THEC) Improving Teacher Quality (ITQ) grant, and was hosted by the University of Tennessee Department of Mathematics. These proceedings contain physics-based secondary mathematics lessons that guided this project. For example, in one lesson, tracking the behavior of live insects helps students learn about displacement, velocity, geometry, and measurement. In another, dropping coffee filters helps students learn about drag, logarithms, and graphical methods. Lasers and lenses can be used to teach reflection and refraction, and one …

Kagan Cooperative Learning Structures And The Effects On Student Achievement And Engagement, Lisa M. Farmer

Master's Theses & Capstone Projects

The purpose of this action research project is to determine if there is a correlation between Kagan cooperative learning and student achievement and engagement in mathematics. Data was collected using a mixed methods approach. Quantitative data was gathered through three math pre and posttests. Qualitative data was collected through observations and interactions with students. Analysis of the data collected suggests that students are more engaged when working in cooperative teams. Growth was also noted from pretests to the posttest.

Infographic: Books In The Home And Student Achievement, Rebecca Vukovic

Teacher infographics

The Trends in International Mathematics and Science Study (TIMSS) is an international comparative study of student achievement. Here, we look at TIMSS data on books in the home and the percentage of Australian students at or above the proficient standard for maths and science.

Special Issue Call For Papers: Mathematics And Motherhood, Pamela E. Harris, Becky Hall, Carrie Diaz Eaton, Emille Davie Lawrence

Journal of Humanistic Mathematics

The Journal of Humanistic Mathematics is pleased to announce a call for papers for a special issue on Mathematics and Motherhood. Please send your abstract submissions via email to the guest editors by October 1, 2017. Initial submission of complete manuscripts is due January 1, 2018. The issue is currently scheduled to appear in July 2018.

Inquiry Based Learning From The Learner’S Point Of View: A Teacher Candidate’S Success Story, Caroline Johnson Caswell, Derek J. Labrie

Journal of Humanistic Mathematics

The goal of this paper is to review current research on Inquiry Based Learning (IBL) and shed some light, from a student's perspective, on the challenges and rewards of this pedagogy. The first part of the article provides an extensive review of the literature on IBL. The second part focuses on one student's experiences in an IBL classroom.

In particular, a graduate secondary mathematics student reflects upon his experiences in a college mathematics class where the instructor implemented an Inquiry Based Learning model. His experience is validated by current research on IBL educational methodology which structures the classroom environment for …

Can Frequent Use Of Number Talks Increase The Comprehension, Understanding, And Fluency Of Fractions, Decimals, And Percentages In Alternative High School Students?, Mark Duffy

School of Education and Leadership Student Capstone Theses and Dissertations

Following a nine-week math talk intervention across three classes and two alternative high school sites, an analysis is made of the effectiveness of number talks on building basic skills in understanding fractions, decimals, and percentages amongst alternative high school students. This intervention was embedded within a probability and statistics course. This intervention used a combination of qualitative and quantitative data to determine how large an impact these talks had on the students. While the sample size involved was small, increased understanding of these core skills was evident.

How Can Inquiry-Based Learning Be Successfully Implemented In The Secondary Mathematics Classroom, Aaron Kadera

School of Education and Leadership Student Capstone Projects

The research question addressed in this project was, how can inquiry-based learning by successfully integrated in the secondary mathematics classroom? It documents one teacher’s creation of a set of inquiry-based curriculum modules intended for use in AP Calculus AB and Precalculus courses. The curriculum created by the author aims to guide students to construct new knowledge through a process of settling doubt within a community of learners; a process known as an inquiry cycle. He analyzes both the intended use and flexibility the curriculum modules, discusses how to measure their effectiveness, and how to adopt different strategies in the case …

Self-Efficacy And The Transfer Of Collabortive [Sic] Learning To Independent Assessments In The Mathematics Classroom, Ashley K. Andrews

School of Education and Leadership Student Capstone Theses and Dissertations

This capstone investigates the research question: What instructional strategies best allow middle school students to develop self-efficacy as they transfer collaborative learning to individual assessments in the mathematics classroom? The author conducted action research in urban schools with an at-risk student population. Within the action research framework, the author applies a qualitative approach to examine instructional strategies that encourage all students to become flexible learners. This capstone ultimately argues that clear expectations and mindset largely impact student success, regardless of the task. It discusses the influence of mindset on student engagement during both collaborative and independent tasks.

Differentiating Instruction To Develop Conceptual Understanding In Multiplication, Christopher A. Kamrath

School of Education and Leadership Student Capstone Projects

The research question addressed in this project was: How can curriculum be created to increase student conceptual understanding of multiplication? The author investigated how to develop an understanding in multiplication through research on conceptual understanding, the stages of learning multiplication and how to integrate a conceptual understanding into the classroom. The author considered the work of Boaler, Brickwedde, Carpenter and Wright to guide his research. The Understanding by Design model from Wiggins and McTighe was used to create the curriculum. The research resulted in a six week multiplication curriculum which consists of daily forty-five minute intervention period through four stations: …

Developing Academic Language In The Context Of A Fourth Grade Mathematics Geometry Curriculum Unit, Rachel J. Pazandak

School of Education and Leadership Student Capstone Theses and Dissertations

The research question addressed in this capstone project was: How can a mathematics geometry curriculum unit be organized to support and develop academic language for fourth grade students through meaningful engagement strategies? The author reviewed literature in the areas of English as a Second Language and mathematics and synthesized best practice methods for teaching common to the two disciplines. The author found that explicit teaching, practice, and support of academic language is vital and beneficial for linguistically diverse learners, with attention to word, sentence, and discourse dimensions. Mathematics is rich in language, particularly when lessons are structured to allow students …

Effective Strategies For Students To Become More Successful Math Word Problem Solvers, Nissa Benedict

School of Education and Leadership Student Capstone Theses and Dissertations

The research question addressed in this project was, what effect do different strategies have on middle and high school student comprehension and success in solving math word problems? It details one teacher’s creation of a unit that focuses on three specific word problem solving strategies for high school students. The unit implements the problem solving process, schemabroadening problem solving, and using diagrams, based on various scholars’ research into each strategy. The author details the goals of the unit and uses related research literature to validate the study. She reflects on possible struggles while implementing the unit and the possibilities the …

Beyond Problem-Solving: Elementary Students’ Mathematical Dispositions When Faced With The Challenge Of Unsolved Problems, Jenna R. O'Dell

Theses and Dissertations

The goal of this study was to document the characteristics of students’ dispositions towards mathematics when they engaged in the exploration of parts of unsolved problems: Graceful Tree Conjecture and Collatz Conjecture. Ten students, Grades 4 and 5, from an after-school program in the Midwest participated in the study. I focused on the cognitive, affective, and conative aspects of their mathematical dispositions as they participated in 7 problem-solving sessions and two interviews.

With regard to cognitive aspects of the students’ dispositions, I focused on the students attempts to identify and justify patterns for labeling graphs. Overall, the unsolved problems were …

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

Theses and Dissertations

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

How Can I Improve The Math Performance Of Intermediate Students Using Game-Based Learning, Leann M. Karl

School of Education and Leadership Student Capstone Projects

The research question addressed in this project was, how can I improve the math performance of intermediate students using game-based learning? It provides multiple sources of research on game-based learning and website design, along with the original creation of an authentic game-based learning website; gamebaseded.com. Throughout the project chapters, the author describes the limitations and benefits of the game-based learning website. The documented benefits include increased engagement, participation, and academic scores.

How The Use Of Subjectivist Instructional Strategies In Teaching Multiple Sections Of An Eighth Grade Algebra Class In Guyana Relates To Algebra Achievement And Attitude Changes Toward Mathematics, Jennifer Hoyte

FIU Electronic Theses and Dissertations

In Guyana, South America, the Ministry of Education seeks to provide universal, inclusive education that prepares its citizens to take their productive places in society and to creatively solve complex, real-world problems. However, with frequent national assessments that are used to place students in high school, college or into jobs, teachers resort to using familiar strategies such as lecture, recitation and test drilling. Despite their efforts, over 56% of students are failing the Grade 6 assessments, 43% failing 10th grade Mathematics and over 60% failing college algebra courses. Such performance has been linked to students’ lower academic self-concept and their …

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, …

The Effects Of Supplemental Instruction On Student Achievement In College Algebra, Rhonda C. Porter

Georgia Journal of Science

College algebra consistently has a very high number of students performing poorly. An experimental study addressing student performance was conducted. Two college algebra classes each with 25 students and with the same teacher were used, one as the control group and the other as the experimental group. The experimental class included mandatory supplemental instruction for an extra class period per week. T-tests were used to compare performances on each test and homework. A repeated measures 2 X 2 ANOVA was used to compare the students' performance on a pretest and a posttest between each class. The Mann-Whitney U test was …

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

Transformations

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

A Professor's Legacy Lives On: Discrete Math For Everyone, Aleisa Dornbierer-Schat

The Voice

No abstract provided.

Can You Spot It?, Aleisa Dornbierer-Schat

The Voice

No abstract provided.

Mathematical Competencies Of Third Level Students: A Review, Colm Mcguinness

The ITB Journal

Many lecturers of mathematics and related disciplines in Ireland and internationally believe there has been a gradual decline in mathematical competencies of students presenting for first year at third level educational establishments. Some of the evidence to support this view is reviewed, along with the types of solutions being applied in Ireland and the UK. Attention is drawn to the explicit and implicit decline in standards potentially associated with some of the solutions, particularly for short courses involving mathematics.

Preservice Teachers’ Perceptions Of Mathematics Through Drawings--Research, Adam Akerson

Kentucky Journal of Excellence in College Teaching and Learning

Research indicates that mathematics anxiety is particularly high in pre-service teachers (Bekdemir, 2010; Gresham, 2007; Hembree, 1990). These future teachers will soon be entering classrooms of their own, responsible for teaching mathematics to young children, who need strong teachers. A 2013 report from The National Assessment of Educational Progress (NAEP), found that 42% fourth-graders performed at or above the proficient level in math (NCES, 2013. The purpose of this study was to examine elementary pre-service teacher candidates (PSTCs) perceptions of mathematics, through drawings. Drawings were analyzed before and after a semester-long field experience in a constructivist mathematics environment. The participants …

Encouraging Literacy And Mathematics Achievement Through Study Of Real Estate, Ryan Andrew Nivens, Lori T. Meier, Karin J. Keith, Erin E. Doran, Edward J. Dwyer

Ryan Andrew Nivens

The era of high stakes testing often puts pressure on teachers and administrators to deemphasize creative activities not perceived as directly related to improving test scores. Alternatively, the authors propose that using environmental text is essential for encouraging overall learning competencies in general and reading/writing/ and mathematical achievement in particular. The authors propose that using real estate booklets can be helpful in generating learning activities in literacy, social studies, and mathematics. In addition, integrating music and art comfortably accompanies strategies presented. Real estate booklets are colorful, rich in content, and readily available at no expense.

A Comparison Of Two Job Offers In Mathematics Education, Ryan Andrew Nivens

Ryan Andrew Nivens

Many job seekers in higher education are unaware of how large a discrepancy there can be in terms of financial potential for mathematics education jobs in higher education. Recent research on this topic has focused on the base salary (Reys, Reys, & Estapa, 2013), but other financial factors have been left unstudied. Through two cases, the researcher demonstrates a large gap that exists in net pay when major financial factors beyond base salary are considered, specifically insurance and retirement benefits. This article will spur conversations among faculty and graduate students in mathematics education doctoral programs allowing mentors to draw from …

The Effectiveness Of The Flipped Classroom For Students With Learning Disabilities In An Algebra I Resource Setting, Ashley Butterick

Theses and Dissertations

The purpose of this study was: (a) to examine the effectiveness of using the flipped classroom model to improve the academic scores of students with a specific learning disabilities (SLD), (b) to examine the effectiveness of using the flipped classroom to improve rates of homework completion by students with a SLD and (c) to evaluate student satisfaction and perception of the flipped classroom intervention. Five high school students, four males and one female, with a SLD participated in the study. A single subject ABAB design was used. During the baseline phases, students received Algebra I instruction through a traditional classroom …

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

MLET: The Journal of Middle Level Education in Texas

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

Facilitating Pre-Service Teachers To Learn The Mathematical Practices And Engage English Language Learners, Jim Ewing

Journal of Multicultural Affairs

A methods course attempted to help pre-service teachers facilitate the engagement of English language learners (ELLs) in Mathematical Practices from the Common Core State Standards. When 22 elementary pre-service teachers were taught a mathematics lesson in Spanish, most were unable to make sense of the lesson. This made them more aware of challenges ELLs may face when they attempt to engage in Mathematical Practices. The pre-service teachers developed their own strategies to facilitate ELLs. The findings suggest that pre-service teachers not only better empathized with ELLs after being taught in another language, they also learned Mathematical Practices more deeply.