Education Commons^™

Integrating Mathematical Modeling For Undergraduate Pre-Service Science Education Learning And Instruction In The Middle School Classroom, William H. Robertson, David Carrejo

William H. Robertson

El Paso is a bicultural, bilingual community with a 76.6% Hispanic population. Combining El Paso’s population with that of its sister city, Ciudad Juárez, Mexico, our community is the largest metropolitan area on any international border in the world. Students at the University of Texas at El Paso (UTEP) are mostly female, and 50% of the total student population is made up of first-generation college students. These demographics are accompanied by low socioeconomic and educational factors: 23.6% of local families live below the poverty level, compared to 12.5% nationally; 32.9% of 25-year-olds have not graduated from high school; 19% of …

Accuracy Of The Teacherinsight Online Perceiver Tool In Determining The Effectiveness Of High Rated And Low Rated Math And Science New Hire Teachers Following One Year And Three Years Of Single School District Employment, Nicole A. Regan

Student Work

The purpose of this study is to explore the accuracy of the TeacherInsight online perceiver tool (Gallup University, 2007) in determining the effectiveness of high rated (n =14) and low rated ( n =36) math and science new hire teachers summative appraisal ratings, completed graduate coursework, and retention status following one year and three years of single school district employment.

The Effects Of Changing From A Traditional Mathematics Curriculum To An Integrated Mathematics Curriculum On Student Mathematics Learning In Georgia, Catherine Lynn Mallanda

Dissertations

In 2005, the state of Georgia adopted a new integrated mathematics curriculum, the Georgia Performance Standards (GPS), which included a task-based approach for instruction. The purpose of this study was to determine if the new Georgia Performance Standards for mathematics increased students’ mean mathematics Preliminary SAT/National Merit Scholarship Qualifying Test (PSAT/NMSQT) scores or induced changes in the distribution of students’ scores on the PSAT/NMSQT. In addition, it was determined whether the level of course the student took, the type of implementation of the GPS curriculum or the preparation for implementation affected the PSAT/NMSQT scores. The results of the study indicated …

Analyzing Common Algebra-Related Misconceptions And Errors Of Middle School Students., Sarah B. Bush

Electronic Theses and Dissertations

The purpose of this study was to examine common algebra-related misconceptions and errors of middle school students. In recent years, success in Algebra I is often considered the mathematics gateway to graduation from high school and success beyond. Therefore, preparation for algebra in the middle grades is essential to student success in Algebra I and high school. This study examines the following research question: What common algebra-related misconceptions and errors exist among students in grades six and eight as identified on student responses on an annual statewide standardized assessment? In this study, qualitative document analysis of existing data was used …

Collaborative Partnerships To Achieve Equity, Jeremy Winters, Craig Rice, Cindy Cliche

NALS Journal

The collaborative partnership between most campus laboratory schools and their university or college department of education differs from campus to campus. The dual purpose of this partnership is to provide an education to school aged children as well as to provide college education majors an opportunity to observe and teach in a laboratory environment. The focus on inclusion and providing a free and appropriate education in the least restrictive environment for students with disabilities is an additional benefit for all of the students. In order for the partnership to be most effective, conversations must occur between general and special education …

Eliciting Student Judgments Of Intrinsic Difficulty For Studying Student Misconceptions In Solving Basic Mathematics Items, Eric Magaram, Jean Phanor, Charles Secolsky, Preston Hasbrouck

NERA Conference Proceedings 2011

The misconceptions of developmental mathematics students in solving basic arithmetic problems are becoming a national crisis. If instructors better understood the conceptions that students have that lead to incorrect responses when solving arithmetic problems, instruction of the material presented to the students may improve. Four groups of five students were given five basic math questions for a total of 20 questions, and the only instructions the students were given was to solve the problems out loud and to please continue talking. Their answers were transcribed and the student responses were used to create solution strategies for each of the 20 …

A Comparison Of Two Alternative Pathway Programs In Secondary Mathematics Teacher Certification, Brian R. Evans

NERA Conference Proceedings 2011

The purpose of this study was to compare the mathematics content knowledge, attitudes toward mathematics, and concepts of self-efficacy held by teachers in two alternative pathways to mathematics teacher certification: New York City Teaching Fellows and Teach for America. Findings revealed that there were no differences between Teaching Fellows and TFA teachers in mathematics content knowledge, attitudes toward mathematics, and concepts of self-efficacy. However, learning and teaching journals revealed several differences between Teaching Fellows and TFA teachers.

Elementary Teachers’ Mathematical Content Knowledge, Efficacy, And Problem Solving Abilities In Alternative Certification, Brian R. Evans

NERA Conference Proceedings 2011

The purpose of this study was to understand teachers’ mathematical content knowledge, self-efficacy, problem solving abilities, and teacher beliefs in an elementary education mathematics methods course for special education teachers in the New York City Teaching Fellows and Teach for America alternative certification programs. Findings revealed a significant increase in mathematical knowledge and self-efficacy. Additionally, teachers were found to have high self-efficacy and strong problem solving abilities. Teachers generally found that helping students with disabilities learn mathematics was the biggest issue in their teaching, and that the use of technology and manipulatives were the most important topics in their learning.

Exit Survey Of Undergraduate Students Completing Degrees In The Spring 2011: Descriptive Statistics, John M. Krieg, Beth Hartsoch, Linda D. (Linda Darlene) Clark, Kieran Seaman

Office of Institutional Effectiveness

The Exit Survey of Undergraduate Students Completing Degrees in the Spring of 2011 (Exit Survey) is the third annual survey of graduating students conducted at Western Washington University. This survey is designed to better illuminate departmental-, college-, and university-level information on student satisfaction, barriers to success, experiences in upper division courses, and post-graduation plans. This survey also includes questions submitted to the Office of Survey Research (OSR) by the Honors Program, the Math Center, the Division of Enrollment and Student Services, Environmental Health and Safety, University Residences, the proposed renewable energy degree program, and the departments of Mathematics and Modern …

The Impact Of Singapore Math On Student Knowledge And Enjoyment In Mathematics, Jenny Taliaferro Blalock

Doctoral Dissertations

The purpose of this study was to investigate the effect of the Singapore Math curriculum and approach to teaching on enjoyment and knowledge in mathematics in one rural school district in north Louisiana. The quantitative data used were collected from a Math Enjoyment Inventory and a mixed skills pre and posttest. Additional supplemental data were collected from a Teacher Response Form. All data were gathered in the 2010–2011 school year, and an intact population was utilized. Participants were categorized into two groups, the Singapore Math group and the traditional math group. The participating district implemented Singapore Math in the fall …

Mathematics: Giving Classical, Christian Education Its Voice, James W. Seidel

Master of Education Program Theses

Classical, Christian education developed in the late twentieth century as the result of the influence of authors and educators such as Dorothy Sayers, Douglas Wilson, and Mortimer Adler. Building upon the educational approach taken in the Middle Ages and earlier, the classical, Christian approach has slowly grown in popularity over the past thirty years. As classical, Christian education has matured, however, some areas of its educational philosophy have developed more slowly than others. In particular, mathematics education within the classical, Christian model has received minimal treatment. This thesis attempts to initiate a more intentional educational philosophy for mathematics in a …

Effective Technology Strategies Teachers Use In The Urban Middle Grades Mathematics Classroom, Tammie R. Cravens

Middle-Secondary Education and Instructional Technology Dissertations

The 21^st century mathematics classroom looks and operates differently than it did half a century ago. Not only are teachers expected to facilitate activities rather than lecture, they are also expected to utilize technology. The National Council of Teachers of Mathematics established the technology principle to guide teachers into this practice in 2000. Today there are middle school mathematics teachers who use technology effectively in the classroom. However, there is a dearth of literature in this area on how they select and use technology. The purpose of this qualitative study is to understand the process by which these teachers …

Mapping The Road To Instructional Coach Effectiveness: Exploring The Relationship Between Instructional Coaching Efficacy, Practices, And Outcomes, Marsha Mccrary

Middle-Secondary Education and Instructional Technology Dissertations

Despite the presence and potential impact of instructional coaches, many schools are not experiencing significant improvements in teachers’ practices or student achievement. In gaining more insight into forces that impact instructional coach effectiveness, this study (a) explored the relationship between sources of instructional coaching efficacy and dimensions of instructional coaching efficacy [Mathematics Content & Mathematics-Specific Pedagogy (ME), Student Centered & General Pedagogy (SE), Interpersonal & Communication Coaching (IE), and Personal Coach Characteristics]; and (b) explored the relationship between dimensions of instructional coaching efficacy and instructional coach outcomes. Participants included teachers (n=144) and their instructional coaches (n=19), from elementary …

A Validation Of The Monitoring Academic Progress Mathematics: An Experimental Multidimensional Group Administered Curriculum-Based Measure Of Mathematics Fluency And Problem Solving, Michael Brandon Hopkins

Doctoral Dissertations

The study investigated the psychometric properties of a newly developed math curriculum-based measure, the Monitoring Academic Progress: Mathematics (MAP:M), through examination of its internal consistency, alternate-form, slope, and test-retest reliability and validity. Participants included 1688 first through third-grade students from a school district in Northeast Tennessee. Application of Generalizability Theory produced reliability coefficients, score variances, and standard-error-of-measures (SEM) for both absolute and relative decisions based on a particular number of probes. MAP:M reliability coefficients for relative decisions ranged from .67 to .97 across eleven probes. The highest percentage of score variance at all three grades was attributed to the Person …

Effect Of Geometer’S Sketchpad On Student Knowledge And Attitude, David J. Dekker

Master of Education Program Theses

This study examines the effects of Geometer’s Sketchpad on student achievement and attitudes in algebra classrooms. It has a quasi-experimental design. The sample included 93 students enrolled in Advanced Algebra courses at Calvin Christian High School in Grandville, MI. Four classes participated in a five-day unit that explored graphs of equalities and inequalities. Two classes used traditional graphing calculators and two classes used Geometer’s Sketchpad. One class of each type took a pretest to measure prior knowledge. All classes took a posttest and attitude survey at the end of the study. A t-test was used to compare class averages. There …

Measurement: Surviving Our Multi-Dimensional World, Courtney Bryand

Understanding by Design: Complete Collection

Measurement: Surviving our Multi-Dimensional World is a measurement unit with a “Survivor” theme. Many components are based on the project based learning activity Stranded! The unit begins and ends in a survivor scenario - students are stranded on a deserted island and must use a piece of scrap metal (an irregular figure) to design a device to catch fresh rain water so they can survive until they are rescued.

Throughout the unit, students build understanding of measurement concepts through hands on learning activities and collaboration with peers. Students learn to use measurement concepts to describe the world around them. The …

Shapes, Beth Morrow, Anne Peppers

Understanding by Design: Complete Collection

This unit addresses the Texas Pre-Kindergarten Guidelines “Child recognizes/describes common shapes” (MVC1) and “Child slides, flips, turns shapes to demonstrate they remain the same” (MVC4), as well as the math standard “Child covers an area with shapes.” At the conclusion of this unit, students will know:

- names and features (number of sides/angles) of common shapes: rectangle, square, triangle, circle, oval, and rhombus; and

- shapes remain the same regardless of their position;

and will be able to:

- identify and describe common shapes: rectangle, square, triangle, circle, oval, and rhombus

- cover an area with shapes and explain how …

Does The Use Of A Graphing Calculator Tutorial Affect The Attitudes, Achievement, And Calculator Ability Of Non-Mathematics Majors In A Calculus Course?, Kari Michelle Everett

Dissertations

The use of graphing calculators in a mathematics classroom is becoming more common place. Teaching with technology has allowed for advancements in the rapidity with which students learn and the degree to which they retain the material taught. As a result, teachers have time to delve more deeply into mathematical topics that might otherwise have merely been touched upon.

This study shows the effects of a graphing calculator tutorial for non-mathematics major students taking calculus as a required course. Qualitative methods were used in order to provide information about the types of students taking a calculus course for nonmathematic students. …

The Effects Of Video Self-Modeling On The Math Performance Of Adolescents With Developmental Disabilities, Cami Elizabeth Burton

Theses and Dissertations

The current study examined the effects of video self-modeling (VSM) via an iPad on the mathematics performance of students with developmental disabilities. The learning task was presented from the consumers' point of view; students learned to estimate the amount of money they should use to pay for a given item and the amount they should receive back to help ensure that they are treated honestly by merchants. Through VSM, video clips showing the step-by-step problem solving process were synchronized onto an iPad. Students were shown how to use the iPad and access the video clips in order to watch themselves …

Parts Of The Whole: An Algebra Lesson, Dorothy Wallace

Numeracy

This column draws on research of Eon Harper to demonstrate how an understanding of his proposed stages of algebra acquisition would inform a systemic overhaul of algebra education. Harper's stages also explain why students may pass a series of algebra courses yet still be unable to make sense of calculus, as well as offering insight on what aspects of algebra support quantitative literacy.

Reducing Math Anxiety: Findings From Incorporating Service Learning Into A Quantitative Reasoning Course At Seattle University, Allison Henrich, Kristi Lee

Numeracy

How might one teach mathematics to math-anxious students and at the same time reduce their math anxiety? This paper describes what we found when we incorporated a service learning component into a quantitative reasoning course at Seattle University in Fall 2010 (20 students) and Spring 2011 (28 students). The course is taken primarily by humanities majors, many of whom would not take a course in math if they didn’t need to satisfy the university’s core requirement. For the service learning component, each student met with and tutored children at local schools for 1-2 hours per week (total about 15 service …

Quantitative Literacy At Michigan State University, 2: Connection To Financial Literacy, Dennis Gilliland, Vince Melfi, Alla Sikorskii, Edward Corcoran, Eleanor Melfi

Numeracy

The lack of capability of making financial decisions has been recently described for the adult United States population. A concerted effort to increase awareness of this crisis, to improve education in quantitative and financial literacy, and to simplify financial decision-making processes is critical to the solution. This paper describes a study that was undertaken to explore the relationship between quantitative literacy and financial literacy for entering college freshmen. In summer 2010, incoming freshmen to Michigan State University were assessed. Well-tested financial literacy items and validated quantitative literacy assessment instruments were administered to 531 subjects. Logistic regression models were used to …

Quantitative Literacy At Michigan State University, 1: Development And Initial Evaluation Of The Assessment, Alla Sikorskii, Vince Melfi, Dennis Gilliland, Jennifer Kaplan, Suzie Ahn

Numeracy

Development, psychometric testing, and the results of the administration of a quantitative literacy (QL) assessment to undergraduate students are described. Three forms were developed covering a wide range of skills, contexts, and quantitative information presentation formats. Following item generation and revision based on preliminary testing and cognitive interviewing, a total of 3,701 consented undergraduate students at Michigan State University completed one of the three forms. Two of the forms contained 14 multiple-choice items, and one form contained 17 multiple-choice items. All forms were completed by students in less than 30 minutes. Evidence of validity and reliability were obtained for the …

A Leap Forward For Quantitative Literacy, H. L. Vacher

Numeracy

The Association of American College and Universities’ Learning Education and America’s Promise (LEAP) initiative has identified quantitative literacy (QL) as one of its Essential Learning Outcomes and classified it amongst five other Intellectual and Practical Skills such as inquiry and analysis, critical and creative thinking, and written and oral communication. This brings to mind a spreadsheet in which these transdisciplinary intellectual and practical skills are rows and academic disciplines are columns. With the view that the learning outcome QL is a row crossing mathematics and other disciplinary columns, this editorial considers how the papers in this and previous issues of …

The Effects Of A Remedial Math Intervention On Standardized Test Scores In Georgia Middle Schools, Chastity London Adams

Doctoral Dissertations and Projects

Schools are looking for interventions to improve academic achievement and increase test scores due to the requirements of No Child Left Behind. One such intervention in middle schools is remedial math. This causal comparative study examined the differences in the standardized test scores for at-risk students who receive remedial math instruction and at-risk students who do not receive this intervention. In addition, this study examined gender differences for the remedial math students. The Georgia Criterion-Referenced Competency Test of 293 at-risk seventh-grade students was used in this study. Using the previous year's standardized math test scores as a control variable, there …

Investigating The Influence Of Computer Programs On Perception And Application Of Mathematical Skills, Neil M. Bly

Theses and Dissertations

Existing research suggests an intuitive relationship between mathematics and computer programming. These previous studies have focused primarily on the cognitive connection and have ignored the potential impact of programming on an individual's perception and application of mathematical skills. By surveying and interviewing a variety of participants, this study aims to provide a descriptive foundation for the experiential side of cognitive correlations and causalities. These phenomenological accounts, garnered from individual interviews of seven different programmers, indicate four specific areas of interest. First, learning to program provided context for many abstract concepts. Second, programming illustrated the important distinction between understanding the application …

The Predictive Validity Of High School Grades To College Remedial Mathematics Performance, John Dozier

College of Education Theses and Dissertations

The concerns for remedial education are not new – as remedial education has a long history. Yet, the issues are gaining prominence in our discourse about improving the outcomes associated with post-secondary education. Any discussion of improvement is often accompanied by a discussion regarding the challenge posed to post-secondary institutions in meeting the growing remedial needs of the students that they receive. The purpose of this research is to evaluate community college placement of students into remedial coursework through an examination of whether a student’s high school mathematics preparation and mathematics grade average are a significant determinant of their completion …

In Students' Words: The Development Of Student Attitudes Toward Mathematics - A Social Perspective, Dianne Kathryn Kelly

Graduate Doctoral Dissertations

Student interest in pursuing advanced studies and careers in Science, Technology, Engineering, and Mathematics (STEM) has garnered much attention lately from government, business, and education leaders due to inadequate flow in the United States' STEM pipeline. Existing research points to mathematical self-efficacy and to mathematical self-concept beliefs as integral to the likelihood that a student will pursue a career in a STEM field. Students' identities, such as the "good-math-student" identity need to be verified in order for students to enact them. Both identity verification and attitude are influenced by self-efficacy and self-concept. Existing research also points to teachers, parents, and …

It's Nothing Personal: Competing Discourses For Girls And Women In Mathematics, Shannon Dawn Bryant

Open Access Dissertations

This dissertation used a post-structural feminist theoretical lens to examine women’s under-representation in mathematics graduate programs and careers. Five dominant discourses that potentially influence women’s decision to enter mathematical careers were discussed, including how those discourses interact in competing and complementary ways to shape women’s and men’s ideas about the nature of mathematics. The study investigated the long-term impact of a single-sex reform-based summer mathematics program on high school girls. The study utilized a variety of data collection techniques including surveys, field observations, phenomenological interviews, and artifact collection. Nine participants who were enrolled in a summer mathematics program for high …

Student Achievement In Block And Non-Block Schedule Schools, William Shelton Smith Jr.

Dissertations

The purpose of this study was to determine if the number of minutes allocated for high school instructional periods influences student achievement. The study also examined the perceptions of principals regarding one method of instructional time allocation, block scheduling.

The study examined the differences in student achievement on a high school exit examination in the content areas of Reading and Mathematics between schools in a southern state using a four-period block schedule and schools using a non-block schedule in order to ascertain if the type of schedule has any impact on student achievement. Additionally, information pertaining to scheduling was collected …