Education Commons^™

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

William H. Robertson

Collaborating To Improve Inquiry-Based Teaching In Elementary Science And Mathematics Methods Courses, Paula A. Magee, Ryan Flessner

Scholarship and Professional Work – Education

This study examines the effect of promoting inquiry-based teaching (IBT) through collaboration between a science methods course and mathematics methods course in an elementary teacher education program. During the collaboration, preservice elementary teacher (PST) candidates experienced 3 different types of inquiry as a way to foster increased understanding of inquiry based teaching (IBT). The experiences included a PST driven science inquiry and a mathematics inquiry where PSTs were learners and a science inquiry where PSTs were teachers. During and following the semester of the collaboration, data were collected to assess the impact of the inquiry experiences on the PSTs’ understanding …

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 …

Number Sense Mediated By Mathematics Self-Concept In Impacting Middle School Mathematics Achievement, Lara K. Geronime

Dissertations (1934 -)

The purpose of the current study was to extend the research on number sense to the middle school level and to simultaneously consider socioemotional elements related to the construct at this developmental stage. Its genesis was initially rooted in an ongoing and dramatic emphasis by U.S. policymakers, researchers, and educators on improving mathematics achievement in order to compete globally in technology and innovation. Despite debates about optimal curriculum and instruction, tremendous support exists for the construct of number sense. However, middle school research examining the phenomena has been limited to intervention protocols targeting specific skillsets and better measurement of its …

Joanne Growney's Poetry-With-Mathematics Blog -- An Appreciation, Gregory E. Coxson

Journal of Humanistic Mathematics

Now is a good time to work on the boundaries of practice and theory, of art and science. We are seeing a rising tide of interest in these boundaries. Witness the growing Bridges movement, which has been exploring the connections between mathematics and the arts. Similarly, JoAnne Growney's blog, Intersections -- Poetry with Mathematics, explores the connections between mathematics and poetry. Through this review, I aim to give readers a taste of what can be found in Intersections as a way of encouraging others, be they mathematicians, poets, or neither, to visit the blog.

Investigating The Status Of Early Numeracy Skills In Bilingual Dual Language Learner Latino Children Attending Head Start And The Association With Parent Demographic Characteristics, Chavely Lissette Iglesias

USF Tampa Graduate Theses and Dissertations

Research on mathematics achievement has become increasingly important with today's technological advances and demand for specialized knowledge. Though there is much literature regarding mathematics achievement in monolingual speakers, little is known regarding the mathematical abilities of Dual Language Learner (DLL) Latino children. This study examined the early numeracy skills in English and Spanish of 132 DLL Latino children attending Head Start programs in five counties across Florida. Relationships and differences among their performance in both languages were examined, along with the contribution of specific parent demographic variables to math achievement. Findings indicated that DLL Latino Head Start children's performance on …

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 …

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.

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 …

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

Educational Foundations & Leadership 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 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, …

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

Educational Foundations & Leadership 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 …

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 …

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 …

Teaching Mathematics In The Classroom With Powerpoint Software, Robert Ward Kopp

Theses Digitization Project

This study will look at at how to better student achievement in an Algebra II course. Specifically this study examines two different modifications made during the second semester of an Algebra II course taught at a high school in Riverside County. The modifications that were made were based on a detailed literature review that suggested looking at how students learn while using PowerPoint software as an instructional tool and at the same time investigate the consequence of rearranging a fairly common and predetermined curriculum pattern.

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.

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 …

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

Electronic Theses and 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 …