Education Commons^™

Probability And Statistics For Third Through Fifth Grade Classrooms., Melissa Taylor Mckinnon

Electronic Theses and Dissertations

This document contains a variety of lesson plans that can be readily used by a teacher of intermediate students. This thesis contains two units in Probability and one unit in Statistics. Any educator can supplement this document with any curriculum to teach lessons from vocabulary to concept.

Integration Of Fifth Grade Math And Science Curriculum, Accompanied By Increased Parental Involvement, Produces Higher Virginia Test Scores., Kathy Diane Perkins

Electronic Theses and Dissertations

The National Educational Society, through much research and testing, discovered that American students are not performing as well on the academic level as their counterparts. As a nation the math and science scores fell behind other tested disciplines. The Virginia Department of Math and Science Report Card scores confirm that students are struggling in these areas.

As a resolution to correct this problem a proposal for the integration of fifth grade math and science curriculum accompanied by increased parental involvement was devised. The program involved thirteen elementary students and their parents. Pretesting, math and science labs, worksheets, posttesting, and a …

What Allows Teachers To Extend Student Thinking During Whole-Group Discussions, Nesrin Cengiz

Dissertations

Research indicates that extending students' mathematical thinking during whole-group discussions is challenging, even for the most experienced teachers. That is, it is challenging for teachers to help students move beyond their initial mathematical observations and solutions during whole-group discussions. To better understand this phenomena, the teaching of six experienced elementary school teachers, who had been teaching aStandards-based curriculum for several years and had participated in a multi-year professional development project focused on that curriculum, is explored in this study. In particular, two issues are addressed: what it looks like to extend student thinking during whole-group discussions and how …

Integrating The Wasl Into The High School Algebra Curriculum, Kent Stafford Pearsons

All Graduate Projects

Most Algebra courses in Washington are supplemented with Washington Assessment of Student Learning (WASL) material. However, in the last two years, little more than half of Washington sophomores passed the math portion of the WASL; for about half of tenth graders the extra worksheets did little to no good. Students need relevant WASL material that correlates with the current math they are studying. In this manner, even though questions may be phrased differently, the material is familiar and so answering questions are more possible. Also, since new worksheets have multiple choice, teachers can discuss how most wisely to answer this …

An Investigation Of Successful And Unsuccessful Students’ Problem Solving In Stoichiometry, Ozcan Gulacar

Dissertations

In this study, I investigated how successful and unsuccessful students solve stoichiometry problems. I focus on three research questions: (1) To what extent do the difficulties in solving stoichiometry problems stem from poor understanding of pieces (domain-specific knowledge) versus students' inability to link those pieces together (conceptual knowledge)? (2) What are the differences between successful and unsuccessful students in knowledge, ability, and practice? (3) Is there a connection between students' (a) cognitive development levels, (b) formal (proportional) reasoning abilities, (c) working memory capacities, (d) conceptual understanding of particle nature of matter, (e) understanding of the mole concept, and their problem-solving …

Discovering The Derivative Can Be "Invigorating:" Mark's Journey To Understanding Instantaneous Velocity, Charity Ann Gardner Hyer

Theses and Dissertations

This is a case study using qualitative methods to analyze how a first semester calculus student named Mark makes sense of the derivative and the role of the classroom practice in his understanding. Mark is a bright yet fairly average student who successfully makes sense of the derivative and retains his knowledge and understanding. The study takes place within a collaborative, student-centered, task-based classroom where the students are given opportunity to explore mathematical ideas such as rate of change and accumulation. Mark's sense making of the derivative is analyzed in light of his use of physics, Mark as a visual …

Probing For Reasons: Presentations, Questions, Phases, Kellyn Nicole Farlow

Theses and Dissertations

This thesis reports on a research study based on data from experimental teaching. Students were invited, through real-world problem tasks that raised central conceptual issues, to invent major ideas of calculus. This research focuses on work and thinking of the students, as they sought to build key ideas, representations and compelling lines of reasoning. This focus on the students' and their agency as learners has brought about a new development of the psychological and logical perspectives, as well as, highlighted students' choices in academic and social roles. Such choices facilitated continued learning among these students.

The Main Challenges That A Teacher-In-Transition Faces When Teaching A High School Geometry Class, Greg Brough Henry

Theses and Dissertations

During a semester-long action research study, the author attempted to implement a standards-based approach to teaching mathematics in a high school geometry class. Having previously taught according to a more traditional manner, there were many challenges involved as he made this transition. Some of the challenges were related to Geometry and others were related to the standards-based approach in general. The main challenges that the author encountered are identified and discussed. A plan of action for possible solutions to these challenges is then described.

Applying Toulmin's Argumentation Framework To Explanations In A Reform Oriented Mathematics Class, Jennifer Alder Brinkerhoff

Theses and Dissertations

This study looks at conceptual explanations given in a reform-oriented mathematics class for preservice secondary mathematics teachers and extends Toulmin's argumentation framework to account for some of the complexities of the explanations given by these students. This study explains the complexities that arose in applying Toulmin's framework to explanations and extends the framework by accounting for the features of conceptual explanations. The complexities of these explanations are that they are made up of multiple arguments that build on each other to reach a final conclusion and that they are also dependant upon the social aspects of the class in which …

Recycle Please: Teach Your School To Recycle, To Care, And To Help Solve The Climate Crisis, Ted Wells

Graduate Student Independent Studies

This Independent Study offers one developmentally-appropriate way in which the elementary school teacher can help alleviate the current global warming crisis by leading students to organize a school-wide recycling program carried out in the spirit of service learning. The reader will learn that this recycling work is two-pronged: the physical labor of recycling and the educational outreach to the school community through marketing, using posters, assemblies, videos, and more. A philosophy of education underlying this work is described in detail, as is the journey of the author in discovering this pedagogy that includes tapping into a personal environmental activism for …

Motivation And Performance In Computer Science: Test Of An Integrative Theory, Katherine A. Selgrade

Psychology Theses & Dissertations

The purpose of this study was to design and empirically test a parsimonious integrative motivation theory. The theory integrates aspects of expectancy theory, social cognitive theory, goal-setting theory, and commitment theory. The theory was tested with 170 undergraduate, students in an introductory computer science (CS) course.

The study tested relationships among the following variables: CS self-efficacy, mathematics ability, affective commitment to the CS class, goal orientation, effort, and performance. The study also tested the interactive effects of effort and ability on performance. Structural equation modeling was used to test the measurement model and a series of nested structural models. Findings …

A Study Of The Impact Graphing Calculators Have On The Achievement In High School Pre Calculus, Marsha Brumberg

Theses and Dissertations

The use of graphing calculators in high school mathematics has long been debated. The transformation of function, in particular, parabolas, was studied and it was shown that there was no loss of achievement in Pre-Calculus classes with the use of graphing calculators. Assessments examined the impact of the graphing calculator on the conceptual knowledge of the topics by testing the students without the graphing calculator and with the graphing calculators. Five classes of pre calculus students (two classes who used graphing calculators and three who did not) were used in the study. The same students were used in the before …

What Are Some Of The Common Traits In The Thought Processes Of Undergraduate Students Capable Of Creating Proof?, Karen Malina Duff

Theses and Dissertations

Mathematical proof is an important topic in mathematics education research. Many researchers have addressed various aspects of proof. One aspect that has not been addressed is what common traits are shared by those who are successful at creating proof. This research investigates the common traits in the thought processes of undergraduate students who are considered successful by their professors at creating mathematical proof. A successful proof is defined as a proof that successfully accomplishes at least one of DeVilliers (2003) six roles of proof and demonstrates adequate mathematical content, knowledge, deduction and logical reasoning abilities. This will typically be present …

Teaching Probability And Statistics To English Language Learners In Grade Five., Mary Jo Johnson Neal

Electronic Theses and Dissertations

An increasing number of English Language Learners enrolling in the Washington County Virginia Public School System during the past several years prompted the idea of this thesis. These students are currently mainstreamed in the regular academic classroom. Adapting to their needs is a new challenge in education for teachers in Southwest Virginia. This thesis offers an opportunity for teachers to prepare for a multicultural classroom setting providing English Language Learners with learning strategies necessary to gain confidence in their mathematical ability and academic success in the areas of probability and statistics. Lesson plans have been specifically designed emphasizing teaching strategies, …

Interactive And Textbook Lessons In Science Instruction: Combining Strategies To Engage Students In Learning, Christina Puentes

Dissertations, Masters Theses, Capstones, and Culminating Projects

Students in elementary classrooms are not receiving science instruction that is engaging and challenging. The review of the literature indicates that the way that the information is presented has more of an impact on the students than simply whether they comprehend the information. Studies show that hands-on science instruction allows success beyond the classroom, hands-on activities excite students about leaning and science in general, and that the hands-on activities create confidence in the children. Research also indicates that students who receive textbook based lessons earn scores similar to students who learn through hands-on lessons. This study explores the effects of …

Use Of Logic Game To Improve High School Students' Logical Reasoning Skills : Results Of A Teaching Experiment, Frank Forte

Theses, Dissertations and Culminating Projects

High school students often struggle with the concept of logical reasoning. A study conducted with 37 ninth grade geometry students involved a teaching experiment. This study documented whether instruction on a logic game called the Color of the Board Game helped students’ logical reasoning skills, and if those skills could be reflected in a “‘pencil and paper” test. Each student in a control and treatment group received a pre-test with 25 multiple-choice logic questions and an open-ended question. Multiple-choice questions were based on geometry and contextual logic. The treatment group received the Color of the Board Instructional Unit between the …

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 …