Science and Mathematics Education Commons^™

Investigating The Impact Of Interactive Applets On Students’ Understanding Of Parameter Changes To Parent Functions: An Explanatory Mixed Methods Study, Robin R. Mcclaran

Theses and Dissertations--Science, Technology, Engineering, and Mathematics (STEM) Education

The technology principle in the Principles and Standards for School Mathematics (NCTM, 2000) states that technology plays an important role in how teachers teach mathematics and in how students learn mathematics. The purpose of this sequential explanatory mixed-methods study was to examine the impact of interactive applets on students’ understanding of parameter changes to parent functions. Students in the treatment classes were found to have statistically significantly higher posttest scores than students in the control classes. Although the data analysis showed a statistically significant difference between classes on procedural understanding, no statistically significant difference was found with regard to conceptual …

An Investigation Of Palindromes And Their Place In Mathematics, Ryan Andrew Nivens

ETSU Faculty Works

What do the Honda Civic, the Mazda 626, and the Boeing 747 have in common? What about Weird Al's song Bob, the first name of Miley Cyrus' alter ego, and the 70s sensation Abba? What do all these things have in common? They all contain palindromes. While some people recognise a palindrome when they see one, fewer realise that a palindrome is a special case of a pattern and that these patterns are all around. Palindromes frequently occur in names, both of vehicles and people, and in music.

The Mathematics Of Skateboarding: A Relevant Application Of The 5es Of Constructivism, William Robertson

Selected Works Temporary Series

lives is a challenge for educators. As part of a weeklong mathematics summer enrichment program held in the summer of 2010 at a southern university in the United States (US), eighty-five high school students participated in a unique set of activities designed to integrate mathematics concepts and skateboarding. Project leaders used a constructivist framework to design student-centered experiences implemented in the outdoor setting of a local skatepark and in campus classrooms. The activities designed for students in “The Mathematics of Skateboarding” demonstrated innovative and creative ways to engage students in content and skills mapped to state requirements for high school …

The Mathematics Of Skateboarding: A Relevant Application Of The 5es Of Constructivism, William Robertson

Departmental Papers (TE)

lives is a challenge for educators. As part of a weeklong mathematics summer enrichment program held in the summer of 2010 at a southern university in the United States (US), eighty-five high school students participated in a unique set of activities designed to integrate mathematics concepts and skateboarding. Project leaders used a constructivist framework to design student-centered experiences implemented in the outdoor setting of a local skatepark and in campus classrooms. The activities designed for students in “The Mathematics of Skateboarding” demonstrated innovative and creative ways to engage students in content and skills mapped to state requirements for high school …

Attending High School Algebra I: In Search Of Well-Managed, Engaging, Culturally Relevant, And Caring Classrooms, Cassandra Dunn Gannett

Electronic Theses and Dissertations

The inequities in learning between the rich and the poor have become pervasive in United States. This is evidenced by the high school graduation rates, college attendance percentages, and employment statistics. Upon another wave of reform, the Common Core State Standards in mathematics are currently being adopted in hopes of increasing learning for all students, with a focus on college and career readiness. This study is intent on finding ways to remedy the inequities in mathematics between the high income and low income schools by focusing on one of the great glass ceilings to high school graduation and beyond, high …

Cognitively Guided Instruction (Cgi): Whats The Point? A Look Into Cgi And Cgi’S Potential Role In An 8th Grade Mathematics Class, Bryan C. Anderson

Mathematics Graduate Theses

This study examined the current research that exists on Cognitively Guided Instruction (CGI) and how it would look when implemented into an 8th grade mathematics classroom. Additional questions examined are if CGI would develop strong student understanding between mathematical concepts and their real world applications; if CGI techniques and questioning impact the interest level of mathematics students; and what type of extra resources would be needed by teachers to implement Cognitively Guided Instruction into their curriculum. Although much of the CGI research has been done on elementary students, by also examining key algebra practices the author was able to synthesize …

Characterizing And Supporting Change In Algebra Students' Representational Fluency In A Cas/Paper-And-Pencil Environment, Nicole L. Fonger

Dissertations

Representational fluency (RF) includes an ability to interpret, create, move within and among, and connect tool-based representations of mathematical objects. Taken as an indicator of conceptual understanding, there is a need to better support school algebra students’ RF in learning environments that utilize both computer algebra systems (CAS) and paper-and-pencil. The purpose of this research was to: (a) characterize change in ninth-grade algebra students’ RF in solving problems involving linear equations, and (b) determine conditions of a CAS and paper-and-pencil learning environment in which those students changed their RF.

Change in RF was measured by comparing results from initial to …

A Comparison Of Success And Failure Rates Between Computer-Assisted And Traditional College Algebra Sections, Sherry S. Herron, Rex Gandy, Ningjun Ye, Nasser Syed

Faculty Publications

A unique aspect of the implementation of a computer algebra system (CAS) at a comprehensive university in the U.S. allowed us to compare the student success and failure rates to the traditional method of teaching college algebra. Due to space limitations, the university offered sections of both CAS and traditional simultaneously and, upon registration, students were given no indication as to which method of instruction they were going to receive. All sections covered the same concepts and a common final exam was given. In this article, we compare the final grades of students enrolled in the computer-assisted and traditional sections …

Gaps In Developmental Mathematics Course Sequence Impede Success In College Algebra, Hector Espinosa Gonzales

Theses & Dissertations

The purpose of this study was to investigate the impact of gaps or stop outs within the developmental mathematics course sequence on the successful completion of college algebra.

Community colleges are undergoing a transformation. Historically, they have been focused on improving access to higher education; now the focus has shifted to student success. This transformation is evident in the concerted effort to improve student graduation rates and decrease the amount of time spent to complete degrees. For community colleges, the key to this success must include reform and improvement in developmental education. Within developmental education, mathematics presents the biggest challenge …

Monitoring Australian Year 8 Student Achievement Internationally : Timss 2011, Sue Thomson, Kylie Hillman, Nicole Wernert

TIMSS 2011 and PIRLS 2011

The Trends in International Mathematics and Science Study (TIMSS 2011) is an international study directed by the International Association for the Evaluation of Educational Achievement (IEA). In Australia, TIMSS was managed by the Australian Council for Educational Research (ACER), and funded by the Australian and state and territory governments.

The goal of TIMSS is to provide comparative information about educational achievement across countries to improve teaching and learning in mathematics and science. It also provides comparative perspectives on trends in achievement in the context of different educational systems, school organisational approaches and instructional practices and to enable this, TIMSS collects …

Equal Or Not? An Exploration Of Eighth-Grade Students' Experience Of Algebra, Janice L. Reyes

College of Graduate Studies: Theses & Dissertations

Over the past two decades, a considerable amount of algebra instruction nationwide has shifted from high school to middle school. In Georgia, all eighth-grade students have been required to take a course that is equivalent to about 80 percent of a traditional Algebra 1 course. The purpose of this qualitative study was to explore how a selected group of eighth-grade students in a suburban Georgia middle school experience algebra within the eighth grade mathematics curriculum. A qualitative research design was used to investigate students’ perceptions of algebra, the strategies employed by teachers to teach algebra, students’ difficulties with algebra, and …

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.

The Impact Of Bilingual Treatment On The Math Skills Of Hispanic High School Algebra Students, Robert Kirk

Education Dissertations and Projects

This dissertation was designed to measure the impact of instructional techniques in the Foundations of Algebra classroom to bridge linguistic barriers between Hispanic students and the language of teaching. Two consecutive years of failing to meet anticipated yearly growth among Hispanic students in Algebra I, as determined by the North Carolina End of Course exams, indicated a cognitive gap among these students when it comes to learning mathematics.

The writer developed an experiment to be delivered among 9 sections of Algebra in a North Carolina high school. The control group used Microsoft PowerPoint slides created for every lesson plan determined …

Assessing The Impact Of A Computer-Based College Algebra Course, Ningjun Ye

Dissertations

USM piloted the Math Zone in Spring 2007, a computer-based program in teaching MAT 101and MAT 099 in order to improve student performance. This research determined the effect of the re-design of MAT 101 on student achievements in comparison to a traditional approach to the same course. Meanwhile, the study investigated possible effects of the Math Zone program on students’ attitude toward studying mathematics.

This study shows that there was no statistically significant difference on MAT101 final exam scores between the Math Zone students and the Classroom students in Fall 2007, Spring 2008 and Fall 2008. At the same time, …

The Relationship Between Core-Plus Mathematics Project And Student Achievement, Karen Renee Treadway-Harvel

Wayne State University Dissertations

The Third International Mathematics and Science Study (TIMSS) study revealed that test scores from high school students were below average in mathematics and science. Studies show that part of it stem from the traditional methods of teaching rather than the standards-based teaching. According to the No Child Left Behind (NCLB) act, students should receive a rigorous and relevant curriculum. The High School Content Expectations (HSCE) is a set of objectives that meet this criteria but the current curriculum still uses traditionally-based curriculum. More than 80% of textbooks located in schools today are traditionally-based. Moreover, teachers who are teaching have been …

Grades 7-8 Solving Equations, Joseph Kalata

Math

This is a math lesson for middle school students on solving equations. Through this lesson students will be able to find a single answer from multiple algebra equations, be able to create visual representations to illustrate a system of equations, and understand the concept that similar figures may have different sizes. This lesson spans over a fourteen day period where students apply math knowledge to an architect project. The students are tiered by ability.

Cooperative Learning In The Mathematics Classroom, Janine Regnier

Mathematics Graduate Theses

Student interactions are important which provokes the idea that cooperative learning should be incorporated into classrooms. Research states many benefits for incorporating cooperative learning and are included in the literature review. Cooperative groups were introduced and studied by the author, who ultimately concluded that cooperative learning does have a place in Mathematics classrooms and should be used when the lesson lends itself to a cooperative environment. The study results can be found in this paper following the literature review.

Integrating The Wasl Into The High School Algebra Curriculum, Kent Stafford Pearsons

All Graduate Projects

Most Algebra courses in Washington are supplemented with Washington Assessment of Student Learning (WASL) material. However, in the last two years, little more than half of Washington sophomores passed the math portion of the WASL; for about half of tenth graders the extra worksheets did little to no good. Students need relevant WASL material that correlates with the current math they are studying. In this manner, even though questions may be phrased differently, the material is familiar and so answering questions are more possible. Also, since new worksheets have multiple choice, teachers can discuss how most wisely to answer this …

Investigating The Relationship Between High School Technology Education And Test Scores For Algebra 1 And Geometry, Richard R. Dyer, Philip A. Reed, Robert Q. Berry

STEMPS Faculty Publications

The standards-based reform movement in education that began in the 1980s has evolved. In the 1990s, the focus was on producing subject-area content standards and modifying instruction. Today, the focus has shifted to assessment, and for technology education, demonstrating the impact on children and the efficacy of the discipline within general education. The purpose of this study was to compare the Standards of Learning (SOL) End-of-Course mathematics performance of high school students who completed courses in illustration and design technology to students who have not completed an illustration and design technology course. The following research questions were developed for this …

Mathematical Card Tricks, Sarah Zimmermann

Honors Capstones

Capstone submitted as a graduation requirement for the BSU Honors Program.

Journaling In The Secondary Mathematics Classroom: An Introduction, Defense, And Resource, Emily K. Falgier

Honors Capstones

Capstone submitted as a graduation requirement for the BSU Honors Program.

Wait Time: A Contributing Factor In Sex-Related Differences In Mathematics Instruction, Gwendolyn Sharpe

Theses and Dissertations

Four intact first year algebra classes and two teachers in a rural county of Georgia served as subjects for this study on wait time. The students were identified as high, medium, and low academic achievers on the basis of their performance on the math portion of the Iowa Tests of Basic Skills. Wait time was measured from the video camera-recorded teaching sessions. Based upon the results of t-tests, no significant difference was found between the mean wait times given to boys and girls. An analysis of variance indicated significant differences among achievement levels. Low and high achievers were given more …

The Effects Of Vertical Acceleration In Mathematics, Amy Willis

Theses and Dissertations

The purpose of this study was to examine the effects of vertical acceleration of students who had taken algebra in the eighth grade. A questionnaire was administered to seniors to determine the attrition rates and their perceived success level in subsequent mathematics courses. All seniors in four high schools in a large school district in Georgia completed the questionnaire. Responses of those seniors who had taken algebra in the eighth grade were analyzed by examining the percentages and frequency counts. The study revealed a high attrition rate for the senior year mathematics course and perceived success levels that were not …

An Educational Mathematics Game Called Allequator, Raymond Robert Beeson

All Graduate Projects

This paper contains a brief description of the procedures involved in making the game Allequator, an educational tool capable of reinforcing basic algebra concepts for students 7th through 12th grades. With the help of the Richland Public School District #400, Allequator has been published and is now available to teachers within the district.

A Comparative Investigation Of The Effects Of Frequent Testing Upon Achievement In Secondary Advanced Algebra, John Thomas Fullerton

All Master's Theses

Relatively speaking, few studies have concerned themselves with the problem of frequent testing, and as Keys pointed out, empirical evidence, uncomplicated by differences in the amount of testing material employed, on the effects of frequent testing is, at best, scarce (14:427). Also many studies used tests and test results for direct instruction, thus introducing additional variables. Furthermore, the choice of subjects and disciplines has been limited, the better part being taken from college psychology and sociology classes or high school science classes. This investigation was not an attempt to modify previous experiments, nor was it an attempt to identify which …

An Investigation Of The Group And Some Simple Algebraic Systems, Helen Kelly Schaal

All Master's Theses

Most algebraic systems commonly studied have two operations; namely, addition and multiplication. The purpose of this thesis was to study an important class of systems in which there is only one operation.