Science and Mathematics Education Commons^™

Concept Booklets: Examining The Performance Effects Of Journaling Of Mathematics Course Concepts, Todd Stephen Fogdall

Boise State University Theses and Dissertations

Journaling is an effective tool for writing about mathematics, but research is mixed about the extent to its effectiveness in writing to learn mathematics. This study examined the performance effects of concept booklets on curriculum assessments. Concept booklets are a hybrid style of journal-writing that include responses to journal prompts, diagramming, and traditional note-taking. Prompts were designed to sometimes investigate new concepts and, at other times, to reflect on components of previously learned concepts.

The study, of an experimental design, was carried out at the high school level in honors-level mathematics classes with the independent variable being exposure to the …

Review Of Calculation Vs. Context: Quantitative Literacy And Its Implications For Teacher Education By Bernard L. Madison And Lynn Arthur Steen (Editors), Maura B. Mast

Numeracy

Madison, Bernard L. and Steen, Lynn Arthur (Eds.). Calculation vs. Context: Quantitative Literacy and Its Implications for Teacher Education. (Washington, DC: Mathematical Association of America, 2009). 197 pp. Softcover. ISBN 978-0-88385-908-7. Available free on the MAA website at http://www.maa.org/ql/calcvscontext.html

The papers in Calculation vs. Context discuss the role of quantitative literacy in the K-12 curriculum and in teacher education. The papers present a varied set of perspectives and address three themes: the changing environment of education in American society; the challenges, and the necessity, of preparing teachers to teach quantitative literacy and of including quantitative literacy in the K-12 education; …

Engaging Math-Avoidant College Students, M. Paul Latiolais, Wendi Laurence

Numeracy

This paper is an informal, personal account of how we, as two college teachers, became interested in math anxiety, decided to explore it amongst students at our institution in order to inform our teaching, and became convinced that the massive problem is math avoidance. We tried discussion groups, but few students attended, although those that did made useful suggestions. Thus informed, we designed an innovative course, Confronting College Mathematics as a Humanities course with the possibility of credit toward the math requirement, but it was undersubscribed in its first offering and had to be canceled. How can we get college …

Measuring Resource Inequality: The Gini Coefficient, Michael T. Catalano, Tanya L. Leise, Thomas J. Pfaff

Numeracy

This paper stems from work done by the authors at the Mathematics for Social Justice Workshop held in June of 2007 at Middlebury College. We provide a description of the Gini coefficient and some discussion of how it can be used to promote quantitative literacy skills in mathematics courses. The Gini Coefficient was introduced in 1921 by Italian statistician Corrado Gini as a measure of inequality. It is defined as twice the area between two curves. One, the Lorenz curve for a given population with respect to a given resource, represents the cumulative percentage of the resource as a function …

Are Developmental Math Courses Being Offered At The Appropriate Time Of Day To Optimize Student Success?, Ralph Cox

Mathematics Graduate Theses

This research paper will identify if a relationship exists between success in pre-requisite developmental math courses and the time of day that the course is offered for students enrolled at a rural community and technical college in northwestern Minnesota. The ACCUPLACER Arithmetic test was administered originally during new student orientation and then, again, at the completion of pre-requisite developmental Math Foundations courses. Paired Pre- and Post- Test data was gathered over seven years, from 2002 to 2009, for a total of 268 students (n=268). The data was then evaluated using one-tail two-sample T-tests assuming unequal variances to determine if a …

Gender Differences On The American Mathematics Competition Amc 8 Contest, Melissa A. Desjarlais

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

This study examines gender differences on the American Mathematics Competition AMC 8 contest between 2003 and 2007 by comparing the performances of male and female United States eighth grade students after controlling for ability. During these years 183,857 males and 178,857 females participated in the contest. Research on gender differences frequently measures impact which is a difference in performance between two groups that can often be explained by different ability distributions. In contrast, differential item functioning (DIF) is a difference in performance after controlling for ability. Three types of analyses were performed to compare the performances. First, statistical analyses identified …

Uncovering Transformative Experiences: A Case Study Of The Transformations Made By One Teacher In A Mathematics Professional Development Program, Rachelle Myler Orsak

Theses and Dissertations

Effective professional development is vital for improving mathematics teaching (National Council of Teachers of Mathematics [NCTM], 2007), so studying effective professional development programs is important to the field of mathematics education. This case study presents findings on one teacher, Rebecca, and her experiences in a five-semester mathematics professional development for elementary teachers. The participants in this professional development engaged in collaborative problem solving of challenging mathematical tasks over extended periods of time. I used qualitative research methods based on grounded theory methodology (Charmaz, 2006) to analyze Rebecca's entrance and exit surveys, video data of Rebecca's individual interviews, and video data …

Comparison Of Fifth-Grade Students’ Mathematics Achievement As Evidenced By Georgia’S Criterion-Referenced Competency Test: Traditional And Departmentalized Settings, Marcia Wright Williams

Doctoral Dissertations and Projects

This study examined the effect of traditional (self-contained, one teacher for all academic subjects) and departmentalized (math taught by a different teacher) instruction upon the mathematics CRCT achievement of fifth-grade general education students. A secondary purpose addressed teachers' experiences, perceptions, and opinions concerning the classroom structure at this level. The 2007 and 2008 CRCT math data was used with a total of 9,386 students. The researcher's Data Collection and Opinions (DCO) for Teachers surveyed 180 fifth-grade teachers. A z score population proportion and a two-sample t test determined significant differences between the two structures. Results of the passing percentages showed …

Quantitative Literacy On The Web Of Science, 2 – Mining The Health Numeracy Literature For Assessment Items, H L. Vacher, Todd Chavez

Numeracy

A topic search of the Web of Science (WoS) database using the term “numeracy” produced a bibliography of 293 articles, reviews and editorial commentaries (Oct 2008). The citation graph of the bibliography clearly identifies five benchmark papers (1995-2001), four of which developed numeracy assessment instruments. Starting with the 80 papers that cite these benchmarks, we identified a set of 25 papers (1995-2008) in which the medical research community reports the development and/or application of health-numeracy assessments. In all we found 10 assessment instruments from which we have compiled a total of 48 assessment items. There are both general and context-specific …

Establishing The Quantitative Thinking Program At Macalester, David Bressoud

Numeracy

In November 2005, the faculty of Macalester College voted to institute a graduation requirement in Quantitative Thinking (QT) that is truly interdisciplinary. It currently draws on courses from thirteen departments including Anthropology, Economics, Geography, Political Science, Theater, Mathematics, Environmental Science, and Geology. This article describes the process that led to the creation of this program. It explains how we were able to get broad buy-in at the beginning and the long process of trial and error—informed by formative assessment—that was needed to refine the initial vision and shape it into a viable program that would be accepted by most of …

Confronting Challenges, Overcoming Obstacles: A Conversation About Quantitative Literacy, Bernard L. Madison, Lynn A. Steen

Numeracy

An edited transcript of the opening session of a workshop on quantitative literacy held Oct. 10-12, 2008 at Carleton College, Northfield, Minnesota. The workshop, which brought together interdisciplinary teams from two dozen colleges and universities, was sponsored by the Quantitative Inquiry, Reasoning, and Knowledge (QuIRK) Initiative at Carleton and the Washington-based Project Kaleidoscope. Two mathematicians in the forefront of quantitative literacy initiatives over the period 1997-2008, Lynn Arthur Steen and Bernard L. Madison, converse about attitudes, obstacles, changes and accomplishments. The conversation, structured as an interview, begins with the relationship between mathematics and quantitative literacy and moves through issues central …

All The More Reason For Qr Across The Curriculum, Bernard L. Madison

Numeracy

No abstract provided.

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

Publications & Research

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.

The Effects Of Teacher Stability On Third Grade Student Achievement As Measured By The North Carolina End-Of-Grade Tests In Reading And Mathematics, Juddson W. Starling

Education Dissertations and Projects

This dissertation was designed to examine the effects of teacher stability on student achievement as measured by the North Carolina End-of-Grade tests in reading and mathematics for third grade students. The perceptions of third grade teachers and elementary school principals concerning issues with teacher stability were also examined. Accountability for public schools in North Carolina has driven educators to find ways to increase student achievement. Teacher stability is a variable that can be controlled by educators in an attempt to increase student achievement.

The writer gathered test data from a target school district and analyzed test scores by the number …

The Effects Of Block Scheduling On Ap Calculus Ab Student Achievement, Larry A. Lightner

Mathematics Graduate Theses

Student achievement on the AP Calculus AB Exam is always a concern for teachers and school districts that offer the exam. A factor of concern that also arises is a school’s schedule. A school’s schedule may have an affect on achievement. This study examines the comparison in achievement of students who take the AP Calculus AB Exam under a block schedule and a traditional schedule system. Block Scheduling is defined as a class period of 80-90 minutes with 4 periods each day, allowing a full year’s curriculum to be offered in one semester. Traditional scheduling is defined as a class …

Linking Place Value Concepts With Computational Practices In Third Grade, Terry Cuffel

Electronic Theses and Dissertations

In an attempt to examine student understanding of place value with third graders, I conducted action research with a small group of girls to determine if my use of instructional strategies would encourage the development of conceptual understanding of place value. Strategies that have been found to encourage conceptual development of place value, such as use of the candy factory, were incorporated into my instruction. Instructional strategies were adjusted as the study progressed to meet the needs of the students and the development of their understanding of place value. Student explanations of their use of strategies contributed to my interpretation …

Hungary And The United States: A Comparison Of Gifted Education, Julianna Connelly Stockton

Mathematics Faculty Publications

There is a lot that can be learned about a country based on the programs and provisions it has for mathematically talented students. While it is difficult to identify a single U.S. "program" or "approach" for gifted education, in general the trend is to put mathematically talented students through the standard mathematics sequence, just starting at an earlier age. In Hungary, on the other hand, the focus is on enrichment over acceleration. This paper explores how some very different historical, cultural, and political forces have shaped these two countries’ different approaches to educating mathematically talented students.

Effects Of A Technology Treatment On Student Scores On The Standardized Grade 8 Proficiency Assessment (Gepa) In New Jersey, Triantafillos Parlapanides

Seton Hall University Dissertations and Theses (ETDs)

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Are The Math Scores Of Students Who Are Taught Mathematics Utilizing The Methods Endorsed By The Alabama Math, Science, And Technology Initiative Affected?, Brenda Elise Jolly

Dissertations

Eighth-grade mathematics scores from 21 schools were compared pre-inception and post-inception of the Alabama Mathematics, Science, and Technology Initiative (AMSTI). Only the scores from schools which had 80% of their mathematics and science teachers trained at one Summer Institute were used, as these were considered to be true AMSTI schools. Results found the effects of AMSTI to be not statistically significant.

The second part of this research was conducted based upon 256 surveys from teachers attending their second Summer Institute of ASMTI training. Results found many school systems may hamper teachers' ability to plan and execute AMSTI lessons due to …

Block Scheduling In High School Mathematics: Effect On Algebra Ii End-Of-Course Grades And Act Assessment Mathematics Scores, Gayle Hawkins Hughes

Doctoral Dissertations and Projects

The purpose of this study was to determine if there was a statistical difference between end-of-course grades in Algebra II at three high schools in northeast Tennessee and mathematics content scores on the ACT Assessment at the same three high schools, by comparing a one-semester accelerated (4x4) block schedule, a two-semester accelerated (4x4) block schedule, and a traditional year-long schedule. The purpose was also to determine if a relationship exists between Algebra II grades and ACT Assessment mathematics content scores for all students and for each school, and to determine if a statistically significant difference occurred in the number of …

A Case Study Of Teachers' Mathematics Content Knowledge And Attitudes Toward Mathematics And Teaching, Brian R. Evans

NERA Conference Proceedings 2008

This study intended to measure teacher mathematical content knowledge both before and after the first year of teaching and taking graduate teacher education courses in the Teach for America (TFA) program, as well as measure attitudes toward mathematics and teaching both before and after TFA teachers’ first year. There was a significant increase in both mathematical content knowledge and attitudes toward mathematics over the TFA teachers’ first year teaching. Additionally, several significant correlations were found between attitudes toward mathematics and content knowledge. Finally, after a year of teaching, TFA teachers had significantly better attitudes toward mathematics and teaching than neutral.

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

NERA Conference Proceedings 2008

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.

Review Of Quantitative Reasoning: Tools For Today's Informed Citizen By A. Sevilla And K. Somers, Aaron G. Montgomery

Numeracy

Alicia Sevilla and Kay Somers, Quantitative Reasoning: Tools for Today’s Informed Citizen. (Emeryville CA: Key College Publishing, 2007). 626 pp. Softcover with Student CD. $79.95 (USA) ISBN 1-931914-90-1. http://www.keycollege.com/catalog/titles/quantitative_reasoning.html

From charts and graphs (Topic 1) to decision making (Topic 21), Quantitative Reasoning offers a good selection of topics that students in a general education mathematics course and other individuals in our society should understand. Organizing the 21 chapters (topics) under the headings of numerical reasoning, logical reasoning, and statistical reasoning, Sevilla and Somers focus their chapters on examples and devote the last 224 pages to 21 Excel activities. Parallel graphic-calculator …

Word Problems: Reflections On Embedding Quantitative Literacy In A Calculus Course, Gizem Karaali

Numeracy

Even though Quantitative Literacy (QL) programs are currently being developed and implemented in several colleges and universities, most schools still depend on traditional mathematics courses to reach their quantitative literacy goals. This note is a case study of how a traditional mathematics course sequence intended for students majoring in social and life sciences may be modified and adapted to at least partially fulfill the need in the absence of a stand-alone QL program. In particular, we focus on a freshman-level mathematics course sequence that serves various client departments. This sequence covers the traditional content of a first-year calculus sequence along …

Enhancing Precalculus Curricula With E-Learning: Implementation And Assessment, Janet Callahan, Seung Youn Chyung, Joanna Guild, William Clement, Joe Guarino, Doug Bullock, Cheryl Schrader

Materials Science and Engineering Faculty Publications and Presentations

During Fall semester of 2007, a semester-long, quasi-experimental study was conducted at Boise State University to investigate the effectiveness of a systematically sequenced and managed, self-paced e-learning activity on improving students’ academic performance and motivation. A total of 125 students enrolled in 3 different sections of a Precalculus class participated in the study. The e-learning activity was implemented in 2 of the 3 sections as a required homework assignment. Students enrolled in one of the 2 selected sections were all engineering majors. The 3^rd section was a control group that did not use the e-learning activity. A pre-test, measuring …

It's All About The Teachers: Bank Street's Math For Teachers As Professional Development, Robin Hummel

Graduate Student Independent Studies

This work describes a professional development initiative that was based on the graduate course, Mathematics for Teachers in Diverse and Inclusive Educational Settings (K-6), taught by Linda Metnetsky at Bank Street College of Education. The author wrote and implemented this professional development initiative for teachers in her former district: a large, middle class, suburban school district outside of Philadelphia. It consisted of six full day sessions, held from October through April during the 2004-05 school year. Eleven teachers from third, fourth, and fifth grades participated, and the impact of this professional development on two participants is the focus of this …

Teacher As Designer: A Framework For Teacher Analysis Of Mathematical Model-Eliciting Activities, Margret A. Hjalmarson, Heidi Diefes-Dux

Interdisciplinary Journal of Problem-Based Learning

The study investigated tool development by three middle school mathematics teachers. The tools they designed were intended to support the use of model-eliciting activities (a form of instruction related to problem-based learning) and particularly the students’ presentations of their solutions for the whole class. The study examined the design and purposes for the presentation tools and resulted in a framework for categorizing teachers’ purposes for tools.The framework addressed the unit of analysis for the tools (individual students or groups of students) and the nature of teachers’ purposes for the tools. Design research was used as a theoretical perspective for conducting …

Dynamic Web Tools For Trigonometry, Steven J. Wilson

Innovations in Math Technology

In the last 20 years, computer technology having mathematical capability has been developed, improved, and become widely available, but textbook presentations are still largely free of any discussion that might require technology. Technology could be used in mathematical instruction for student drill and practice, for instructor demonstrations that promote conceptual understanding, or for the exploration of mathematical ideas, but software is often designed to be pedagogically generic, leaving its use to the creativity of the instructor. Technological solutions for local machines can be quite extensive, but cost and time constraints then limit availability for student use. The internet has the …

Effects Of Discussion And Writing On Student Understanding Of Mathematics Concepts, Joseph Roicki

Electronic Theses and Dissertations

For this action research project, I wanted to examine my practice of teaching mathematics. Specifically, I encouraged students to improve their communication skills during my math class through daily discussion and writing tasks. After establishing a class set of sociomathematical norms, the students solved problems provided by the Every Day Counts: Calendar Math program and used verbal and written formats to describe their problem solving methods and reasons. My study showed the effects of using discussion and writing to help students develop their conceptual understanding of mathematical ideas. Focus was placed on the quality of daily discussions and written tasks …

Understanding Children's Mathematical Learning: The Relationship To Instruction In Preschool Classrooms, Renee B. Whelan

Seton Hall University Dissertations and Theses (ETDs)

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