Educational Assessment, Evaluation, and Research Commons^™

Learning To Teach Mathematics And To Analyze Teaching Effectiveness: Evidence From A Video- And Practice-Based Pre-Service Course, Rossella Santagata, Cathery Yeh

Education Faculty Articles and Research

Although emerging consensus exists that practice-based approaches to teacher preparation assist in closing the distance between university coursework and fieldwork experiences and in assuring that future teachers learn to implement innovative research-based instructional strategies, little empirical research has investigated teacher learning from this approach. This study examines the impact of a video- and practice-based course on prospective teachers’ mathematics classroom practices and analysis of their own teaching. Two groups of elementary prospective teachers participated in the study—one attended the course and one did not. Findings reveal that the course assisted participants in making student thinking visible and in pursuing it …

The Effects Of Standards-Based Grading On Student Performance In Algebra 2, Rachel Beth Rosales

Dissertations

The use of standards-based grading in American public schools is increasing, offering students, parents, and teachers a new way of measuring and communicating about student achievement and performance. Parents indicate an appreciation for this method of grading, and students at the elementary grades (K-6) have improved standardized test scores in reading and math as a result of its implementation. This study seeks to determine whether standards-based grading has the same effect on students at the high school level (grades 9-12) by comparing end-of-course test scores and posttest scores of Algebra 2 students enrolled in a standards-based graded classroom with to …

Mathematics Interventions: A Correlational Study Of The Relationship Between Level Of Implementation Of The Accelerated Math Program And Student Achievement, Deborah Walker Driesel

Doctoral Dissertations and Projects

Current legislation, such as No Child Left Behind (2001) or the Individuals with Disabilities Education Act (2004), has increased accountability for schools for the education of all students. These laws require schools to provide interventions for struggling learners, as part of the Response to Intervention process (IDEA, 2004). Accelerated Math (AM), published by Renaissance Learning, is a scientifically based program designed to supplement quality instruction as part of the RtI process. This correlational study examined ex post facto data using pre and posttest scores on the STAR Math Test in relation to amount of classroom time dedicated to AM instruction …

Textbooks, Teachers, And Middle School Mathematics Student Achievement, Susan R. Monaghan

Dissertations (1934 -)

The purpose of this study was to extend the research on textbook effectiveness to a situated investigation of a single large urban school district in which middle schools were given a choice in selecting from three textbooks for mathematics instruction: a reform textbook, a commercially produced textbook developed in response to mathematics standards, and a traditional textbook. Its genesis is rooted in the efforts in the mathematics education community to investigate the interaction of teachers and mathematics curriculum materials, but in light of the shift to an accountability policy climate in public education. In particular, this study sought to determine …

The Effect Of Manipulatives On Achievement Scores In The Middle School Mathematics Class, Elaine D. Doias

Dissertations

When applied to mathematics education, manipulatives help students to visualize mathematical concepts and apply them to everyday situations. Interest in mathematics instruction has increased dramatically over the past two decades with the introduction of virtual manipulatives, as opposed to the concrete manipulatives that have been employed for centuries. This quasi-experimental study proposed to explain the relationship between concrete and virtual manipulatives when used in a seventh-grade mathematics classroom. Using students’ mathematics composite scores on standardized and teacher-created assessments, it compared the effectiveness of using concrete manipulatives alone versus using a combination of concrete and virtual manipulatives. The foundational theory of …

Number Of Courses, Content Of Coursework, And Prior Achievement As Related To Ethnic Achievement Gaps In Mathematics, Ernest C. Davenport Jr., Mark L. Davison, Yi-Chen Wu, Se-Kang Kim, Haijiang Kuang, Nohoon Kwak, Chi-Keung Chan, Alicia Ayodele

Journal of Educational Leadership in Action

This study utilized base-year and second follow-up data from the National Educational Longitudinal Study of 1988 to investigate the relationship between eighth-grade math achievement, mathematics course-taking in high school, and twelfth-grade math achievement. Results suggested the following: 1) Type of coursework can be quantified. 2) Type of coursework was more predictive of achievement than amount. 3) There were substantial ethnic achievement differences prior to high school. 4) Number of courses, type of courses, and prior achievement were not equally predictive of twelfth-grade mathematics achievement across ethnic groups. 5) Prior achievement did not equally predict course-taking over ethnic groups in amount …

Measure For Measure : A Review Of Outcomes Of School Education In Australia, John Ainley, Eveline Gebhardt

Assessment and Reporting

There have been a plethora of research reports providing information about the achievements of students in Australian schools and how those achievements differ among jurisdictions and among groups of students. However, each report has often been viewed in isolation from other similar studies. This report is intended to provide an integrated appraisal of the results of the international and national achievement surveys conducted since 1994 but with some references to earlier studies. In addition to limiting the task to manageable proportions, this time span corresponds to the widespread introduction of modern measurement methods so that there is a better basis …

A Teacher's Guide To Pisa Mathematical Literacy, Sue Thomson, Kylie Hillman, Lisa De Bortoli

OECD Programme for International Student Assessment (PISA) Australia

This report focuses on mathematical literacy and is one of a series of three reports on Australian students' performance in PISA. The report provides an overview of the PISA mathematics framework and Australia's results in the PISA 2003 international assessment. Also included are mathematics items released for public viewing after the PISA 2003 assessment and examples of responses, marking guides and comparisons of results with other countries. The context behind achievement, e.g. attitudes, engagement and learning strategies, is also presented.

The Effect Of Single Gender Instruction On Eighth Grade Students' Mathematics Achievement, David Hammel

Doctoral Dissertations and Projects

n the research study, this investigator utilized a non-experimental, causal-comparative design (ex post facto) with archival data to determine the real impact single gender instruction had on eighth grade students' mathematics achievement. The purpose of this study was to quantitatively analyze the benefits of single gender mathematics instruction for eighth grade male and female students, when compared against traditional coeducational instruction. Specifically, the researcher compared students instructed in single gender eighth grade mathematics classes with students taught in traditional coeducational classes by analyzing fall vs. spring Measures of Academic Progress (MAP) computerized mathematics test score means. Additionally, honors vs. non-honors …

Evaluating The Effectiveness Of An Intervention Mathematics Class For Low Achieving Middle School Students In Northwest Georgia, Johnnie Coats

Doctoral Dissertations and Projects

High-stakes testing has become crucial in public education, requiring students to meet increasingly higher standards, regardless of their ability levels. This causal-comparative study sought to determine the effectiveness of an intervention mathematics course in the middle school setting for at-risk, sixth grade students. The Georgia Criterion Referenced Competency Test (CRCT) math scores of 143 at-risk students enrolled in a remediation mathematics course were compared to scores from a control population of 143 at-risk students who did not participate in the class. Math scores from the 2008 administration of the CRCT test were used as covariates, and comparisons were made using …

Common Misconceptions And Instructional Best Practices For Teaching Fractions To Students In Grades Three, Four, And Five, Dan Fairchild

Mathematics Graduate Theses

This research paper will identify common misconceptions related to the teaching and learning fractions for students in grades three, four, and five. Different fraction subconstructs will be identified and instructional best practices will be identified for the teaching and learning of comparing fractions, ordering fractions, adding fractions, and subtracting fractions.

Social Mathworking: The Effects Of Online Reflection On Algebra I Students' Sense Of Community And Perceived Learning, Patricia Allanson

Doctoral Dissertations and Projects

The purpose of this study was to determine if online reflections through social networking affect students' sense of community and levels of perceived conceptual learning in Algebra I courses. Social constructivism, connectivism, and computer-mediated communication in relation to reflective practices form the theoretical and practical framework for the use of Web 2.0 technologies in this investigation. A quasi-experimental nonequivalent control group design was used to examine Algebra I students' sense of community as measured by the Sense of Classroom Community Index, and perceived learning as measured by Perceived Learning Instrument. The sample consisted of 27 Algebra I students at a …

Teacher-Student Relationships And Student Achievement In Grades Six And Seven Math, Julia Britt

Doctoral Dissertations and Projects

This study analyzed the effect of teacher-student relationships on the Virginia Standards of Learning (SOL) math scores for grades six and seven. Data were studied to determine if an increase in student achievement was related to the often-overlooked interpersonal human relationships between teachers and students. The researcher expected to find a correlation between positive teacher-student relationships and an increase in standardized test scores. The researcher analyzed the data of student scores in rural middle school mathematics' class and teacher characteristics to determine if a relation existed between student achievement and positive teacher-student relationships. The American version of the Questionnaire on …

Improving Student Achievement Through Feedback, Jennifer L. Mchlachlan

Mathematics Graduate Theses

This paper reviews the current research that exists on feedback given to students in an educational setting. Questions examined were what characteristics make feedback effective, what are the effects on student achievement if feedback is available to students in a math classroom and does timing of the feedback given play a role in its effectiveness. Results showed that feedback is effective if it is descriptive, including both strengths and weaknesses. Feedback given in small doses throughout the learning process, so as not to overwhelm students, has also proven effective. The research shows that the effect of feedback on student achievement …

The Relationship Between Music Participation And Mathematics Achievement In Middle School Students, Joshua Boyd

Doctoral Dissertations and Projects

A comparative analysis was used to study the results from a descriptive survey of selected middle school students in Grades 6, 7, and 8. Student responses to the survey tool was used to compare multiple variables of music participation and duration of various musical activities, such as singing and performing on instruments, to the mathematics results from Georgia Criterion-Referenced Competency Test (Georgia Department of Education, 2011. The results were analyzed with the use of the Pearson r correlation coefficient. The intensity of relationships was assessed with analysis of variance (ANOVA). A final t-test of means was conducted to compare the …

Math Education At Its Prime?, Natalie Benet

Senior Honors Theses

Three main problems with current math education are negative mindsets toward math, the lagging comparison with advanced education in other countries, and ill-equipped teachers and school systems. The consequences of these problems have impacted math education by convincing students that they do not need to try at math, filling countless classrooms with ill-qualified teachers, and overall lowering the quality of U.S. math education compared to the education of rest of the world. In order to correct these problems and reverse the present and future consequences, the quality of math education must be increased. This can be done by changing the …

Instructor Use Of Tablet Pcs In A College Pre-Calculus Course: Implementation & Assessment, Julianna Connelly Stockton, Peter Gregory

Mathematics Faculty Publications

A group of six math instructors used tablet PCs to teach their individual sections of a high enrollment gateway Pre-Calculus course in a diverse urban four-year college. Student performance in the experimental sections were compared to those in 31 other sections in terms of student retention, pass rates, and score on the department-wide standardized final exam. Student performance was higher in Tablet PC sections across all three measures, although in some cases the improvement was not substantial enough to improve students’ overall course grades. Surveys of students and faculty in classes using a Tablet PC reflected overall positive impressions of …

The Relationship Between Multiplication Fact Speed-Recall And Fluency And Higher Level Mathematics Learning With Eighth Grade Middle School Students, Steven James Curry

Dissertations

This quantitative study investigated relationships between higher level mathematics learning and multiplication fact fluency, multiplication fact speed-recall, and reading grade equivalency of eighth grade students in Algebra I and Pre-Algebra. Higher level mathematics learning was indicated by an average score of 80% or higher on first and second semester mathematics assessments and proficient or advanced descriptor on the mathematics Missouri Assessment Program tests. Timed multiplication fact quizzes were administered to eighth grade students. Speed-recall scores were measured by the number of accurate answers in a 45-second time frame. Fluency was obtained by a student score of 35 accurate answers in …

Employment Of An Informal Educational Mathematical Facility To Lower Math Anxiety And Improve Teacher And Student Attitudes Towards Understanding Mathematics, Vicki Adams

Dissertations

Students do not pursue careers in science, technology, engineering, or mathematics (STEM) because of a lack of ability, but rather a lack of positive experiences with mathematics. Research has concluded that attitudes in math directly influence success in mathematics. As many as 75% of high school graduates in the United States suffer from mild to severe forms of math anxiety. The improvement of student achievement in mathematics in the United States lags behind that of many other nations in the world. Efforts to improve student achievement in mathematics have focused on developing effective teachers and teaching practices, creating state and …

The Effect Of Differentiated Instruction On Standardized Assessment Performance Of Students In The Middle School Mathematics Classroom, Kimberly Gail Williams

Doctoral Dissertations and Projects

Changing demographics, student diversity, and increased accountability have compelled educators to challenge the uniform constraints of traditional instruction and create an environment focused on individual achievement. Differentiated instruction empowers teachers to target multiple learning styles through varied themes, adapted content delivery, and assessment options. This quantitative quasi-experimental research study examined the effects of differentiated instruction on seventh grade student performance on standardized mathematics assessments using a repeated-measures design. Two independent research trials, controlling for initial group differences with 2011 Texas Assessment of Knowledge and Skills (TAKS) scores, provided inconclusive assessment results. Significant differences between students who received differentiated instruction compared …

Comparing The Success And Experiences Of Developmental Algebra I Students, Christy Lowery-Carter

Doctoral Dissertations and Projects

Students enrolled during the spring 2011 and summer 2011 semesters taking developmental Algebra I were invited to participate in a study. Students were required to complete a researcher-made pretest prior to instruction, complete the course over the semester, and complete an identical posttest at the end of the course. The online students voluntarily completed a researcher-made survey. An ANCOVA analysis, using the pretest scores as a covariate, showed a significant difference between the online and seated students, as the online students scored significantly higher. The survey showed online students tended to utilize the captured lectures, with a larger percentage of …

How Ipads Can Be Used In The Math Classroom To Improve Student Learning, Katie Ann Garrity Smieja

Mathematics Graduate Theses

This study explores how iPads can be used to enhance student learning in the math classroom. The author reviews current literature to determine how iPads are being used to facilitate communication, formative assessment, and promising practices in math education such as discovery learning and use of spreadsheets, graphing calculators, and manipulatives. Additionally, challenges and drawbacks to using iPads in the classroom are examined. Research supports the use of iPads to provide students access to digital content including online discussion boards and practice activities with instant feedback. iPads can also be used as student response systems to engage students in instruction …

The Relationship Between Student Achievement Of At-Risk Students And The Georgia Performance Standards In Mathematics, Loralee Ann Hill

Dissertations

Educational leaders continue to be challenged in terms of accountability measures for increased student achievement, as mandated by the No Child Left Behind Act of 2001 (NCLB). In particular, schools must show adequate yearly progress (AYP) reaching 100 % proficiency levels for all students in the areas of English language arts and mathematics by 2014. In 2008, the Georgia Performance Standards (GPS) in mathematics were implemented at the high school level. Coupled with this new curriculum, a newly developed Georgia High School Graduation Test (GHSGT) in mathematics was administered in March 2011. The purpose of this study was to add …

How To Reach All Types Of Learners Through The Use Of Manupulatives In Grades Three, Four, And Five, Cadie Fairchild

Mathematics Graduate Theses

This paper is an examination of research concerning the use of manipulatives with third, fourth, and fifth grade mathematics instruction. The research discusses the power of child discovery, stages of representation, using manipulatives to support learning, eliminating manipulatives prematurely, and eliminating negative stereotypes linked to manipulative use. A major concern of teaching with manipulatives is the knowledge of the teacher. An educator’s role is to provide the best learning opportunities for students. Research reviewed for this paper indicates frequent hands on activities using manipulatives. They need to be aware of the many learning stages and how to address each individual …

Some Drivers Of Test Item Difficulty In Mathematics, Ross Turner

OECD Programme for International Student Assessment (PISA)

This paper is one of four contributions to the symposium session at the AERA’s 2012 Annual Meeting titled Exploring Reading and Mathematics Item Difficulty: Teaching and Learning Implications of PISA Survey Data. The author presents a rubric used to analyse mathematics test items developed for use in the OECD’s PISA survey. The rubric focuses on a set of mathematical competencies that are components of mathematical literacy. The work on which this report is based suggests that demand for activation of these competencies functions as a significant driver of item difficulty, which potentially has implications for the teaching and learning of …

Teacher Empowerment In The Implementation Of Response To Intervention: A Case Study, Evie Taff Barge

Doctoral Dissertations and Projects

Response to Intervention (RtI) is a data-driven process that supports the academic needs of students through targeted interventions to address specific identified areas of weakness. When implemented effectively, RtI aids students at the onset of learning concerns and can remediate learning problems which have, in the past, led to students being classified as learning disabled. Few studies have recognized the role of teachers at the frontlines in implementing RtI, and many teachers are struggling with the complicated RtI process. Literacy and mathematics are the academic focuses for RtI in this study due to their importance for success in school and …

Effects Of A Developmental Boot Camp: Improving Student Performance On A College Placement Test, Heather Hill

Doctoral Dissertations and Projects

Nationwide, students are entering college unprepared for college-level work. Recent high school graduates are placing into developmental courses at an alarming rate. The purpose of this research study is to examine the effect of a developmental boot camp on standardized placement test scores of students enrolling at a community college in North Carolina. The study has a quasi-experimental non-equivalent control group design. Collected data will include participants' scores on the pretest and posttest placement test. A control group of eligible students who chose not to participate will be posttested for comparison. Instruments include ASSET® placement test and Computer-Adaptive Placement Assessment …

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 …

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 …

Performance Comparison Between Ib School Students And Non-Ib School Students On The International Schools’ Assessment (Isa) And On The Social And Emotional Wellbeing Questionnaire, Ling Tan, Yan Bibby

Monitoring Learning

This report examines the performance of students enrolled in the IB Primary Years Programme (PYP) and the IB Middle Years Programme (MYP) on the ACER International Schools’ Assessment (ISA) compared with non-IB students from the same ISA cohorts. The ISA is an assessment created especially for students in international schools in Grades 3 to 10. The assessment asks both multiple-choice and open-ended questions in the areas of writing, reading and mathematics, and provides international normative information about student performance. The Reading and Mathematical Literacy are based on the internationally endorsed frameworks of the OECD's Programme for International Student Assessment (PISA). …