Education Commons^™

The Effects Of Using The Geometer’S Sketchpad On Student Learning Of Transformations In The Coordinate Plane, Leeann Elizabeth Gennett

Theses, Dissertations and Culminating Projects

The primary purpose of this study was to investigate how grade nine honors geometry students and grade ten regular geometry students learn and retain information about three basic rigid geometric transformations with the support of the software package The Geometer’s Sketchpad in comparison to the traditional, non-software supported method of instruction.

The study was conducted in a high school with two tenth grade regular geometry classes and two ninth grade honors geometry classes. The researcher and another teacher each conducted a one-week instructional unit on the three basic, isometric transformations. Thirty-four students agreed to participate in the study. Nineteen students …

Representations Of Fractions: Promoting Students’ Mathematical Understanding, Thomas Edward Hodges

Masters Theses

Representations of mathematical ideas serve as a foundation for understanding mathematical concepts. Using and translating among a variety of representations promotes deep conceptual understanding and connections between mathematics topics, in addition to providing contexts for more advanced mathematics concepts. The importance placed on mathematical representations led to an examination of sixth grade middle school mathematics textbooks’ representation of fraction concepts. The chapters included in this thesis represent a portion of the work completed during the examination and an example of how representations of fractions can impact topics in secondary mathematics.

A Study Of New Jersey Middle School Mathematics Teachers' Qualifications And Beliefs On Certification, Stephanie Marone

Theses and Dissertations

The purpose of this research was to assess New Jersey middle school mathematics teachers' qualifications and beliefs on certification. To research this topic, teachers from South Jersey middle schools were contacted and asked to respond to a survey. The survey was created by the researcher to obtain information on the qualifications of respondents and their beliefs. The survey used a Likert scale to measure teachers' beliefs on their qualifications and comfort level teaching New Jersey Core Curriculum Content Standards. It is clear from previous research that middle school mathematics teachers should be educated specifically to teach both mathematics and young …

Professors' Perceptions Of Student Readiness For College-Level Mathematics, Tara L. Pedrick

Theses and Dissertations

Students are not performing well in their freshman year in college mathematics classes. More incoming college freshman are being required to take remedial mathematics coursework. The purpose of this research is to determine if professors feel that traditional incoming freshmen students are prepared for college-level mathematics, and what factors they feel contribute to this level of preparation. To research this topic, professors from chosen two- and four-year colleges were contacted and asked to respond to a survey. The researcher created a survey using a Likert scale to obtain information on the views of college professors pertaining the topic. The instrument …

The Importance Of The Riemann-Hilbert Problem To Solve A Class Of Optimal Control Problems, Nicholas Dewaal

Theses and Dissertations

Optimal control problems can in many cases become complicated and difficult to solve. One particular class of difficult control problems to solve are singular control problems. Standard methods for solving optimal control are discussed showing why those methods are difficult to apply to singular control problems. Then standard methods for solving singular control problems are discussed including why the standard methods can be difficult and often impossible to apply without having to resort to numerical techniques. Finally, an alternative method to solving a class of singular optimal control problems is given for a specific class of problems.

Enrichment Curriculum For Third Grade Mathematically Gifted Students, Brooke Anne Mcallister

All Graduate Projects

Research shows that mathematically gifted students learn differently from their same age group peers. They require curriculum to be differentiated to meet their specific learning styles (Johnson, 2006). Studies have shown that formal instruction in elementary school classrooms often lacks challenge for the gifted learner since courses in regular classrooms sometimes have a relatively narrow range of topics, minimal investigation of concepts, repeated drill and practice, and yearly repetition (Fello, 2004). This project consists of curriculum for third grade gifted math students which takes the regular classroom curriculum to a more contextual level. This unit provides inquiry-based, discovery learning approaches …

One Problem, Two Contexts, Danielle L. Gigger

Theses and Dissertations

In this study, a group of students were presented with two mathematically isomorphic problems but in radically different contexts. Analysis of their thinking and reasoning as they worked to solve and explain each problem demonstrates that the thinking and reasoning that emerged in each problem responded to clear purposes that the problems elicited in these students. The first problem was posed in a context that relied on experience and intuition rather than a formal mathematical description. The second problem was posed in a formal, set-theoretic context. While the analysis offered here reveals similarities in the students' final reasoning in the …

The Use Of Science Reform Instructional Methods And Their Effect On 3rd Grade Students' Participation And Attitude Towards S, Heather Robinson

Electronic Theses and Dissertations

The purpose of this research study was to determine whether the use of science reform instructional methods had an effect on student participation in and attitudes towards science education. The participants in this 12 week study were third grade students. Data were collected using a pre and post attitudinal survey, student journals, a participation log, and a researcher reflection journal. Several conclusions were made. The use of science reform instructional methods did affect student participation and attitudes towards science. Student journals indicated that students enjoyed the use of technology, hands-on science equipment, working in pairs or small groups and the …

The Effects Of Reciprocal Teaching Strategies On Students' Comprehension Of A Seventh Grade Life Science Text, Brooke Bess

Electronic Theses and Dissertations

This action research study was conducted with 7th grade life science students at a public middle school in central Florida. The author used Reciprocal Teaching (RT) as described by Annemarie Palincsar and Anne Brown (1984) to examine changes in student comprehension when reading their life science textbook and changes in how the students used the predicting, questioning, and summarizing strategies. The RT strategies ask students to employ 4 strategies: predict what they will read, generate questions about what was read, clarify any ideas that were not understood in the reading, and summarize the main idea of the reading. Students were …

Effect Of Implementing Project-Based Education In High School Physics : File Folder Bridge Engineering , Amy P. Muzzarelli

Dissertations, Master's Theses and Master's Reports - Open

Project-based education and portfolio assessments are at the forefront of educational research. This research follows the implementation of a project-based unit in a high school physics class. Students played the role of an engineering firm who designed, built and tested file folder bridges. The purpose was to determine if projectbased learning could improve student attitude toward science and related careers like engineering. Teams of students presented their work in a portfolio for a final assessment of the process of designing, building and testing their bridges.

Real-World Context, Interest, Understanding, And Retention, Annikka Chrestensen

Dissertations, Master's Theses and Master's Reports - Open

This study investigated the use of real-world contexts during instruction in a high school physics class - through building file folder bridges- and the resulting effect upon student interest in the subject matter, level of understanding, and degree of retention. In particular, the study focused upon whether increases in student interest were attained through the use of real-world contexts, and if the elevated interest level led to a higher degree of subject matter understanding than would be achieved using more traditional teaching methods. The study also determined whether using real-world contexts ultimately resulted in achievement of greater levels of knowledge …

Student Perceptions Of Interactive Whiteboards In A Biology Classroom, Christina Schut

Master of Education Research Theses

This qualitative study provides student perceptions of interactive whiteboard (IWB) use in a secondary biology classroom. The use of the IWB was alternated with the overhead on an ABAB and BABA design in two classrooms. The study was based on semi-structured interviews of thirty-six individuals, representing a sample of rural, high school students. Interview questions focused on three constructs: benefits, limitations, and suggestions for improvement. Analyzing the results ascertained that students found the IWB to be interesting because it was engaging and offered multimedia aspects. Students also reported the IWB to improve instruction through enhanced visuals and notes. Limitations and …

Journaling As A Test Preparatory Measure In Secondary Mathematics: Successful Student Strategies, Lloyd E. Nickerson Ii

Master of Education Research Theses

This study examines a math journal writing assignment comparing how high school (grades 10 through 12) algebra students who performed well and students who performed poorly on traditional mathematics tests constructed their corresponding journal entries. Statistically significant differences found indicated that students who performed well on the tests were more likely to have originally composed the text and examples in their journal entries, and students who performed poorly were more likely to have copied much of the mathematical language and examples in their journal entries from their textbooks. Students who performed well on the test were also more likely to …

Assessing Online Assessments: A Comparison Study Of Math Assessment Tools For Third-Grade Students, Tina Kim Chan

Theses Digitization Project

The study reported here examined the move towards online assessments and addressed the question of whether or not different assessment tools affect student scores and student learning. The research activities covered a three-week period, from June 5, 2006 to June 23, 2006. During this time, seventeen third grade students served as their own control group by taking several math tests online and several math tests with paper and pencil. Results were compared to see if performance on computer-based tests would be more successful than pencil-and-paper tests. A follow-up survey to evaluate and interpret the quantitative results was also used. Findings …

A Comparison Of Traditional Animal Dissection And Computer Simulation Dissection, Debra Elisabeth Kiehl

Theses Digitization Project

The purpose of this study was to compare instructional effectiveness of traditional animal dissections and computer simulation dissections related to student achievement and attitudes.

Using The Concrete-Representation-Abstract Instruction To Teach Algebra To Students With Learning Disabilities, Edward William Sung

Theses Digitization Project

This project explored the Concrete to Representational to Abstract instruction (CRA instruction) as a strategy to teach abstract math concepts for secondary students with learning disabilities. Through the review of literature, multiple researchers suggested that students with learning disabilities need to be exposed to a variety of instructional strategies to develop problem solving skills in algebra concepts.

Teaching And Learning The Concept Of Area And Perimeter Of Polygons Without The Use Of Formulas, Jamie Robin Anderson Mickens

Theses Digitization Project

The purpose of this study was to increase the student's understanding of the measures of area and perimeter of polygons. The goal of the project was to create a supplemental geometry unit to develop the concept of the area and perimeter of a polygon without the use of formulas and numbers and to measure the effectiveness of this unit on student understanding. Two high school geometry classes with under 28 students each participated in this study.

Examining Sociomathematical Norms Within The Context Of Decimals And Fractions In A Sixth Grade Classroom, Marino Nardelli

Electronic Theses and Dissertations

Social norms are patterns of behavior expected within a particular society in a given situation. Social norms can be shared belief of what is normal and acceptable shapes and enforces the actions of people in a society. In the educational classroom, they are characteristics that constitute the classroom participation structure. Sociomathematical norms are fine-grained aspects of general social norms specifically related to mathematical practices. These can include, but are not limited to, a student-centered classroom that includes the expectation that the students should present their solution methods by describing actions on mathematical objects rather than simply accounting for calculational manipulations. …

A Case Study Of The Effects Of Inquiry Based Professional Development Through The Use Of A Mentor On An Alternatively Certified, Michelle Thrift

Electronic Theses and Dissertations

One alternatively certified elementary teacher was the subject of this sixteen week research study on science teaching self-efficacy. The researcher taught inquiry based student level science lessons to the fourth grade teacher. The teacher participant, in turn, taught those same lessons to her class while the researcher observed and took field notes. The participant responded to specific open ended questions in a journal after each science experience and also completed three interviews with the researcher. Each sequential lesson from the researcher was then modified based on participant needs. The participant completed the STEBI (Science Teaching Efficacy Belief Instrument) as a …

The Influence Of Discourse And Journal Writing On Second Graders' Acquisition Of Multidigit Addition Concepts, Elizabeth Hensley

Electronic Theses and Dissertations

The purpose of this study was to examine how second graders use writing and language when they are learning to add multidigit numbers in mathematics class. Second grade students were taught addition conceptually with a focus on sharing their strategies and thought processes with each other during the mathematics lesson. Two social norms were established with students so that sharing information and asking for clarity when they did not understand would be natural and expected. Students kept a daily mathematics journal to answer the class's Problems of the Day. Patterns found in student journals indicated three stages of multidigit learning. …

The Effects Of Increasing Family Involvement On Student Achievement In Scientific Inquiry, Patricia Denoon

Electronic Theses and Dissertations

Research has shown that there is a positive correlation with student performance when there are members of the family, primarily a parent, who are actively involved with the student and their education. The following action research plan was designed to determine how increasing parental involvement affected student performance in a scientific inquiry program. This was done by offering "parenting a middle school student" workshops, encouraging family run practices at home, and inviting parents to attend a class with their student. This research was conducted in a large middle school in a central Florida school district with two 7th grade classrooms. …

The Effect Of An Inquiry-Based Science Curriculum On Student Attitudes And Participation, James Perlmutter

Electronic Theses and Dissertations

This study was designed as a collaborative action research study and focused on the use of an inquiry-based unit in an eighth grade honors science class at a middle school with a diverse population in the southeastern portion of the United States in the Spring of 2005. The inquiry-based unit was taught through the use of the electronics unit in Full Option Science System (FOSS). The purpose of the study was to investigate the effects of an inquiry based curriculum on the level of participation in, attitudes of, and academic performance of students towards science. This collaborative action research study …

The Effect Of The Appalachian Math And Science Partnership On Student Achievement, Betsy Evans

MPA/MPP/MPFM Capstone Projects

Students in the schools of Central Appalachia continuously score lower in mathematics and science at all K-12 levels than their state’s average scores. This education achievement gap is currently being addressed by the Appalachian Math and Science Partnership (AMSP). The AMSP is a professional development program whose goal is to increase the academic achievement of students in mathematics and science by enhancing the content knowledge and teaching skills of classroom teachers. There is a growing body of research that shows improving teacher knowledge and teaching skills is essential to raising student achievement.

The purpose of this study is to determine …

Students' Epistemological Beliefs Of Mathematics When Taught Using Traditional Versus Reform Curricula In Rural Maine High Schools, Glenn T. Colby

Electronic Theses and Dissertations

This study compared students’ epistemological beliefs of mathematics after completing 3 years of a reform-oriented curriculum developed by the Core-Plus Mathematics Project (CPMP) versus a more traditional curriculum developed by Glencoe Mathematics. The Conceptions of Mathematics Inventory (CMI; Grouws, Howald, & Colangelo, 1996) was administered to 11th-grade students in four rural Maine high schools (n=102) to measure student beliefs of mathematics. CPMP was used as the primary textbook series in 2 of the schools, while the other 2 schools used Glencoe Mathematics. A variation of the Reformed Teaching Observation Protocol (RTOP; Piburn & Sawada, 2000) and teacher questionnaires were used …

Geometric Reasoning In Four-Year-Old Children, Christina Eyres Sales

Dissertations and Theses @ UNI

This study addresses the curriculum issues of young children's geometric knowledge and how they can learn about geometry in early education. To investigate, I designed a pattern block frame activity that was the focus of a seven-week intervention with four-year-old children in a constructivist classroom. All children were considered at-risk for school failure. The investigation is rooted in my unsatisfying experiences with pattern blocks in my preschool classrooms.

Data were obtained from a pre and posttest assessment administered to ascertain the effects of the intervention on all children in the classroom and from observations of children's behavior as they engaged …

Thinking Outside The Box: An Introspective Look At The Use Of Art In Teaching Geometry, Elizabeth Heskett

Senior Honors Theses and Projects

Geometry is typically thought of as a discipline in mathematics that is taught using formulas and basic shapes, but this idea is only the beginning. Geometry can be combined with art to enhance mathematical lessons for students. Educators must realize that visual representations of different mathematical concepts are a wonderful way to teach children geometry in a meaningful way. The “fundamental notion that integrating the arts into one’s teaching can help facilitate learning in the mathematics classroom, as the arts can recapture the wonder of learning mathematics. The connection between instruction and imagination is bridged and learning becomes play, and …

Analyzing The Effects Of Inquiry-Based Instruction On The Learning Of Atmospheric Science Among Pre-Service Teacher Education Students, Robert James Ruhf

Dissertations

This study tested whether or not pre-service teacher education students enrolled in inquiry-based earth science courses gained more thorough knowledge, comprehension, and application proficiencies with regard to atmospheric science concepts included in the Michigan Curriculum Framework for Science Education---the content standards of the Michigan State Board of Education for K-12---than did pre-service teacher education students enrolled in a traditionally-based earth science lecture/laboratory course. Content proficiencies were tested at the beginning of the semester (the pretest) and again at theend of the semester (the posttest). A sample of students participated in post-test interview sessions designed to examine in depth their knowledge, …

Statistics: Raising The Bar For The Seventh Grade Classroom., Sherry Lynn Mullins

Electronic Theses and Dissertations

After recognizing the need for a more thorough concentration of statistics at the seventh grade level, the author concluded that it would be a good idea to include statistics that cover both seventh and eighth grade Virginia Standards of Learning. Many years of administering the SOL mathematics test at the eighth grade level led the author to the understanding that some of the more advanced seventh graders would be missing some key concepts taught in eighth grade because those advanced students would be taking algebra in the eighth grade. In this thesis, the author has developed four units that she …

An Introduction To Number Theory Prime Numbers And Their Applications., Crystal Lynn Anderson

Electronic Theses and Dissertations

The author has found, during her experience teaching students on the fourth grade level, that some concepts of number theory haven't even been introduced to the students. Some of these concepts include prime and composite numbers and their applications. Through personal research, the author has found that prime numbers are vital to the understanding of the grade level curriculum. Prime numbers are used to aide in determining divisibility, finding greatest common factors, least common multiples, and common denominators. Through experimentation, classroom examples, and homework, the author has introduced students to prime numbers and their applications.

Combinatorics For The Third Grade Classroom., Rita Jane Mcfaddin

Electronic Theses and Dissertations

After becoming interested in the beauty of numbers and the intricate patterns of their behavior, the author concluded that it would be a good idea to make the subject available for students earlier in their educational experience. In this thesis, the author developed four units in combinatorics, namely Fundamental Principles, Permutations, Combinations, and Pascal's Triangle, which are appropriate for third grade level.