Education Commons^™

Kindergarten Mathematics: An Observational Study Of Learning Centers In Diverse School Settings, Juliana Macswan

Honors Scholar Theses

This qualitative research study investigated how centers were used in kindergarten math classes and students’ mathematical engagement and authority within centers in five classes field-testing the Project M²: Mentoring Young Mathematicians measurement and geometry units. Data were collected from three observations in each of the five classes as well as observations from trained professional development staff working on the field-test and teacher exit interviews. Results indicated that in four of the five classes two-thirds of the centers related to the unit objectives and students spent over 90% of time in unit related centers. There were a variety of …

Improving Automaticity With Basic Addition Facts: Do Taped Problems Work Faster Than Cover, Copy, Compare?, James Cressey, Kristin Ezbicki

James Cressey

This small pilot study compared the effectiveness of two interventions to improve automaticity with basic addition facts: Taped Problems (TP) and Cover, Copy, Compare (CCC), in students aged 6-10. Automaticity was measured using Mathematics Curriculum-Based Measurement (M-CBM) at pretest, after 10 days, and after 20 days of intervention. Our hypothesis was that the TP group will gain higher levels of automaticity more quickly than the CCC and control groups. However, when gain scores were compared, no significant differences were found between groups. Limitations to the study include low treatment integrity and a short duration of intervention.

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 …

Learning To Teach Mathematics With Reasoning And Sense Making, Amy L. Nebesniak

College of Education and Human Sciences: Dissertations, Theses, and Student Research

This study uses teacher research to examine teacher learning in the context of instructional coaching. The author, a mathematics instructional coach, engaged in an intense three-week coaching relationship with a high school Algebra teacher. A detailed description of the teaching and learning of quadratics that took place during this research provide information about what and how a teacher learns to teach mathematics with reasoning and sense making. Mapping the terrain of quadratics deepened the teacher’s understanding of the mathematical content and encouraged him to adapt his textbook in order to build mathematical reasoning. Through the coaching process, the teacher also …

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 …

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 …

The Engineering Design Process As A Model For Stem Curriculum Design, Krystal Sno Corbett

Doctoral Dissertations

Engaging pedagogics have been proven to be effective in the promotion of deep learning for science, technology, engineering, and mathematics (STEM) students. In many cases, academic institutions have shown a desire to improve education by implementing more engaging techniques in the classroom. The research framework established in this dissertation has been governed by the axiom that students should obtain a deep understanding of fundamental topics while being motivated to learn through engaging techniques. This research lays a foundation for future analysis and modeling of the curriculum design process where specific educational research questions can be considered using standard techniques. Further, …

The Use Of Non-Cognitives And Learning Strategies As A Predictor For Completion Of Developmental Mathematics At A Community College, Megan Healy

Educational Leadership & Workforce Development Theses & Dissertations

With a large global, national, state, and local drive for post-secondary credentials, higher education institutes are exploring new retention and graduation strategies to meet the needs of the employers and employees. Many students who are unprepared for college level work will enter a community college to take developmental courses. Developmental mathematics has been a large barrier to completion and success in community college.

The purpose of this study was to explore the ability of non-cognitive traits to predict persistence in completion of a developmental math sequence at a community college. Non-cognitive traits were identified from the three components of strategic …

The Impact Of State Fiscal Effort On Student Achievement Measured By Math Scores From The National Assessment Of Education Progress (Naep), Lorena Leeann Kelly

Educational Leadership & Workforce Development Theses & Dissertations

The current financial state of our nation, in combination with the pressure to meet state accountability testing and a global call for better prepared twenty first century learners, has produced a situation where all levels of government have to make difficult decisions regarding expenditures. In order to ensure that education receives appropriate funding, research is necessary to show a relationship between spending and student achievement. This study examines the effects of sustained increases and decreases in state fiscal effort on student achievement measured by scores from 4th and 8th grade math NAEP scores over an eighteen year period. A quantitative …

Logo Programming (Part 1) - A Creative And Fun Way To Learn Mathematics And Problem-Solving, Abhay B. Joshi, Sandesh R. Gaikwad

Abhay B Joshi

Programming means tapping into the computerʹs immense power by talking with it directly. Through programming, children use the computerʹs terrific power to draw graphics, design animation, solve mathematical or word puzzles, and even build robots. This idea was first proposed in the famous book ʺMindstormsʺ by Seymour Papert and has subsequently been appreciated and praised by educators and parents all over the world.

Through programming, students discover that the computer is a powerful and flexible tool. Using interesting ideas embedded in programming environments, students solve problems in their favorite subjects, and also develop interest in ʺdifficultʺ subjects like Math and …

Logo Programming (Part 2) - A Creative And Fun Way To Learn Mathematics And Problem-Solving, Abhay B. Joshi, Sandesh R. Gaikwad

Abhay B Joshi

Programming means tapping into the computerʹs immense power by talking with it directly. Through programming, children use the computerʹs terrific power to draw graphics, design animation, solve mathematical or word puzzles, and even build robots. This idea was first proposed in the famous book ʺMindstormsʺ by Seymour Papert and has subsequently been appreciated and praised by educators and parents all over the world.

Through programming, students discover that the computer is a powerful and flexible tool. Using interesting ideas embedded in programming environments, students solve problems in their favorite subjects, and also develop interest in ʺdifficultʺ subjects like Math and …

Self-Regulated Learning And Mathematics Achievement In A Fourth Grade Classroom, Dawn Eliserio

Master of Education Program Theses

This research examines the relationship between self-regulated learning and mathematics achievement. The sample included 10 students enrolled in fourth grade at a small, private elementary school in the Midwest. During the third quarter of the school year, students were taught methods of learning mathematics through self-regulation. The grades were recorded before the implementation at the conclusion of the second quarter and again at the conclusion of the third quarter once self-regulation was implemented. A t-test was used to compare the mathematics scores. There was no significant difference between the second and third quarter mathematics grades. This is an important result …

A Comparison Of Learning Subjective And Traditional Probability In Middle Grades, Jeanne D. Rast

Jeanne D Rast Ph.D.

The emphasis given to probability and statistics in the K-12 mathematics curriculum has brought attention to the various approaches to probability and statistics concepts, as well as how to teach these concepts. Teachers from fourth, fifth, and sixth grades from a small suburban Catholic school engaged their students (n=87) in a study to compare learning traditional probability concepts to learning traditional and subjective probability concepts. The control group (n=44) received instruction in traditional probability, while the experimental group (n=43) received instruction in traditional and subjective probability. A Multivariate Analysis of Variance and a Bayesian t-test were used to analyze pretest …

Differentiated Physical Learning Environment, Alisha Thiessen

Master of Education Program Theses

This research study examines the correlation between student academic growth in mathematics in a differentiated physical learning environment and whether or not a differentiated physical environment affects students’ attitudes in mathematics. Previous studies have shown that students gain a deeper connection to the curriculum and have a greater enjoyment of the subject matter when a subject is differentiated (Sondergeld &Schultz, 2008). This study looks specifically at differentiating only the physical learning environment and how this affects student academic growth and attitude towards in mathematics. This study found no statistical evidence of greater academic achievement for those students who were part …

Specialized Science High Schools: Exploring Contributions Of The Model To Adolescent Talent Development Specialized Science, Christopher G. Kolar, Tracy L. Cross, Rena F. Subotnik, Paula Olszewski-Kubilius

Christopher G. Kolar

As the field of gifted education shifts much of its focus to domain-specific talent development, specialized science high schools are taking their place on the stage. Back in 1981,Bloom and Sosniak argued persuasively that talent development cannot take place exclusively in schools. They stressed that schools were not prepared to offer the required levels of expert teaching, time, and effort. Yet, specialized science high schools, by design, are staffed with teachers with advanced degrees, offer relatively flexible schedules, interested peers,reasonable access to appropriate technology, and connections with research institutions to provide apprenticeships for the most motivated and interested students.

Parts Of The Whole: Learn More, Learn Better, Dorothy Wallace

Numeracy

Building on previous columns in Numeracy, this column analyzes various teaching techniques in terms of their ability to build cognitive schema, extend existing schema, reinforce learning, move mean understanding of a group of students, and reduce variance in understanding of a group. We offer a pedagogical cycle as an example of how to address multiple learning goals using common teaching methods.

Incorporating Quantitative Reasoning In Common Core Courses: Mathematics For The Ghost Map, John R. Jungck

Numeracy

How can mathematics be integrated into multi-section interdisciplinary courses to enhance thematic understandings and shared common readings? As an example, four forms of quantitative reasoning are used to understand and critique one such common reading: Steven Berlin Johnson’s "The Ghost Map: The Story of London's Most Terrifying Epidemic - and How it Changed Science, Cities and the Modern World" (Riverhead Books, 2006). Geometry, statistics, modeling, and networks are featured in this essay as the means of depicting, understanding, elaborating, and critiquing the public health issues raised in Johnson’s book. Specific pedagogical examples and resources are included to illustrate applications and …

If Only Math Majors Could Write..., Bernard L. Madison

Numeracy

This text of the opening plenary address to the 2011 Summit of the Appalachian College Association and the meeting of the National Numeracy Network makes an argument that quantitative reasoning and writing should be taught together. The argument is set up by noting that humanists have historically banished quantitative issues from their study of the liberal arts and that science, engineering, and mathematics education suffers from lack of approaches to learning that promote complex, deeper understanding, most notably integrative and reflective learning. Therefore, everyone would profit from combining writing and quantitative reasoning. Five more specific reasons are discussed, drawing evidence …

The Joy Of Quantitative Reasoning, Caren Diefenderfer

Numeracy

One of the advantages of focusing on quantitative reasoning is that it spans a wide variety of topics. As incoming president of the National Numeracy Network, I would like to take the opportunity of this editorial to tell my story of intellectual reward from finding common purpose in quantitative reasoning with colleagues from disciplines outside of mathematics. The story starts with an NSF-funded faculty development project (DUE-9952807) to further a QR across-the-curriculum program and the finding from that program that merging authentic context with mathematics brings interaction and collaboration. That joy in learning from and working with colleagues in other …

Examination Of An Online College Mathematics Course: Correlation Between Learning Styles And Student Achievement, Bridget Steele

Electronic Theses and Dissertations

The purpose of this study was to determine if there was a significant relationship between learning styles and student learning outcomes in an online college mathematics course. Specifically, the study was guided by two research questions focused on (a) the extent to which learning styles had a predictive relationship with student achievement in an online college mathematics course and (b) the extent to which various learning styles among mathematics students in online versus face-to-face courses predicted mathematics achievement. The population for this study consisted of the 779 college mathematics and algebra (CMA) students who were enrolled in a private multimedia …

Mathematic Strategies For Teaching Problem Solving: The Influence Of Teaching Mathematical Problem Solving Strategies On Students' Attitudes In Middle School, Kelly Lynn Klingler

Electronic Theses and Dissertations

The purpose of this action research study was to observe the influence of teaching mathematical problem solving strategies on students’ attitudes in middle school. The goal was to teach five problem solving strategies: Drawing Pictures, Making a Chart or Table, Looking for a Pattern, Working Backwards, and Guess and Check, and have students reflect upon the process. I believed that my students would use these problem solving strategies as supportive tools for solving mathematical word problems. A relationship from the Mathematics Attitudes survey scores on students’ attitudes towards problem solving in mathematics was found. Students took the Mathematics Attitudes survey …

How Much Do Our Incoming First Year Students Know?:Diagnostic Testing In Mathematics At Third Level, Blathnaid Sheridan

Teaching Fellowships

A continuing cause for concern in higher education institutions is the poor core mathematical skills of incoming students. Many institutions now offer mathematics support services such as drop-in centres, online resources and short “refresher courses” in an attempt to alleviate the problem. The majority of third level institutions in Ireland and internationally now make use of diagnostic testing of incoming first year students that both predict subsequent success and select groups for remediation. This project was developed to explore the issues around diagnostic testing and follow up support for incoming students in the College of Sciences and Health. A large …

Greenstem@Vcu: An Innovative Program For Integrating Service-Learning Into Middle School Science, Technology And Mathematics Instruction, Suzanne Kirk, Kelly Lockeman, Lynn Pelco

Division of Community Engagement Resources

GreenSTEM integrates science, technology, engineering and math (STEM) education with a focus on energy and the environment using service-learning techniques for middle school science, mathematics and technology teachers.

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 …

Humanistic Mathematics: An Oxymoron?, Gizem Karaali

Pomona Faculty Publications and Research

Mathematics faculty are trained as mathematicians, first and foremost. If we did not experience the soul-expanding possibilities of liberal education during our own undergraduate years, we may hesitate to bridge disciplinary divides when pursuing our core human need to inquire and understand. Although most mathematicians I know are amazing teachers, communicators, and mentors, many still teach the same material that their professors and their professors’ professors taught. This time-tested approach can be powerful, fascinating, and even quite entertaining. But it can also seem far removed from the world we inhabit. Yes, we teach “real world applications” of mathematical concepts. Yet …

Processes And Pathways: How Do Mathematics And Science Partnerships Measure And Promote Growth In Teacher Content Knowledge?, Patricia S. Moyer-Packenham, A. Westenskow

Teacher Education and Leadership Faculty Publications

Intense focus on student achievement results in mathematics and science has brought about claims that K-12 teachers should be better prepared to teach basic concepts in these disciplines. The focus on teachers' mathematics and science content knowledge has been met by efforts to increase teacher knowledge through funded national initiatives focusing on mathematics and science. The purpose of the present study was to look across projects in the National Science Foundation's Math and Science Partnership Program to determine how partnerships developed processes for measuring growth in teacher content knowledge. Pre- and post-testing was the most common process for measuring growth …

The Effects Of Journaling And Vocabulary Strategies On Elementary Students' Attitudes Towards Mathematical Performance, Renee Marie Janzen

Electronic Theses and Dissertations

In an attempt to examine the effects of journaling and vocabulary strategies on elementary students’ attitudes towards mathematical performance, I embedded reflective journaling and vocabulary strategies into my fourth grade mathematics curriculum. The mathematics content focused on whole number place value, multiplication, and division. My study revealed the positive effects these interventions can have on elementary students’ attitudes towards mathematics.

Enriching Students With Developmental Delays In An Early Childhood Classroom Using Ipads With Mathematics Applications, Selma Powell

Electronic Theses and Dissertations

Laws and legislation related to early childhood and special education have shaped the field and impacted the need for early intervention services, but the outcomes of those services both academically and socially at the forefront. Children with developmental delays today are eligible for school services beginning at birth across the country, the new challenging is determining the impact of services on the social and academic outcomes. Many children with developmental delays are served in inclusive early intervention classrooms. A need for developmentally appropriate quality mathematics instruction exists to prepare students to meet the demands of a global economy; students must …