Education Commons^™

Education In The Environment: A Strategy For Continued Interagency Outdoor Programming: Quarterly Progress Report, Period Ending August 31, 2007, Environmental Education Strategy For Nevada

Reports (PLI Education)

During the past three months, the focus of the university’s efforts has included the following highlights:

• Three projects have been identified to meet SNAP strategic messaging needs: an anti-litter exhibit; a volunteer restoration program with educational components; and activity stations to tell the story of Lee Meadows restoration efforts.
• Interpretive planning is underway for Mountain’s Edge Explorer’s Interpretive Trail.
• A Hispanic survey and monitoring program has been identified.
• A six-week Spanish class tailored to meet the communication needs of environmental educators and interpreters will be offered beginning September 20.
• Forever Earth was scheduled for 11 days and benefited 297 individuals. …

Gk-12: Nsf Graduate Teaching Fellows In K-12 Education At The University Of Maine, Susan H. Brawley, Stephen A. Norton, Barbara J. Cole, Michael Vayda, Eric N. Landis, Susan J. Hunter, Ruey Yehle

University of Maine Office of Research Administration: Grant Reports

Eight districts in central Maine that comprise the Penobscot River Educational Partnership (PREP); four of them, including Maine Indian Education, partners in a current GK-12 project, have joined with the University of Maine to form Fellow-teacher teams to introduce K-12 students to experiments, field trips, and discussions in areas such as chemistry, climate change, marine sciences, molecular biology, geology, food sciences, and ecology. The program is: a) helping teachers and students reach the State of Maine's legislatively-mandated standards for Science & Technology (the Maine Learning Results), b) strengthening Fellows' communication and teaching skills, c) providing professional development for Teachers, d) …

The Council On Undergraduate Research As A Resource For Mathematicians, Thomas Q. Sibley

Mathematics Faculty Publications

No abstract provided.

A New Framework For Grading, Kris H. Green, W. Allen Emerson

Mathematical and Computing Sciences Faculty/Staff Publications

Grading is one of the least liked, least understood and least considered aspects of teaching. After years of work, we have developed a grading system that is quite different from traditional and reformed approaches to grading and which meaningfully incorporates and integrates the collection of evidence, the evaluation of evidence, and the reporting of judgments about that evidence. This system satisfies the requirements of good grading system and answers many of the problems faced by more traditional methods by substantially changing the way in which grade information is aggregated, resulting in a final course grade that aligns qualitative evaluation with …

A Rotating Panel Survey To Assess Quality Of Hunter College Education, Jennifer Sousa Brennan, William (Bill) H. Williams

Publications and Research

A rotating sample design is proposed to most accurately measure the perceived quality of a Hunter College education. A representative sample of Hunter College students will belong to one of six rotating panels. Students will be contacted during four rotation periods and report their assessment of the two most recent months. It is advantageous to use a rotating panel design as opposed to a fixed panel design in order to guard against the negative effects of a deteriorating response rate. Stratified sampling will help to ensure representation across major departments and academic year of study. Methods for sampling procedures, stratification, …

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 …

Impact Of New Science And Engineering Graduates On Intrastate Labor Markets, Philip A. Trostel

University of Maine Office of Research Administration: Grant Reports

A major policy issue confronting states is the level of state support to higher education. A crucial question in this policy debate is whether a state's production of college graduates has a proportionate effect on the level of college attainment in the state. Although it is widely accepted that rising college attainment leads to rising prosperity, there is widespread concern that many new college graduates will take their state-supported degrees to labor markets in other states. The belief that state support to higher education subsidizes the workforce development of other states undermines states' incentives to promote wider access to higher …

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 …

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.

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.

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 …

The Importance Of Teaching Students How To Read To Comprehend Mathematical Language, Tricia Buchanan

Action Research Projects

In this action research study of my classroom of 8th and 9th grade Algebra I students, I investigated if there are any benefits for the students in my class to learn how to read, translate, use, and understand the mathematical language found daily in their math lessons. I discovered that daily use and practice of the mathematical language in both written and verbal form, by not only me but by my students as well, improved their understanding of the textbook instructions, increased their vocabulary and also increased their understanding of their math lessons. I also found that my students remembered …

The Effects Improving Student Discourse Has On Learning Mathematics, Lindsey Thompson

Action Research Projects

In this action research study of my 8th grade mathematics classroom, I investigated how improving student discourse affects learning mathematics. I conducted this study because I wanted to give students more opportunities to develop and share their ideas with their peers as well as with me. My idea was to create a learning environment that encouraged students to voice their opinions. In order to do so, I needed to reassure and model with my students that they were in a classroom where it was safe to take risks, and they should feel comfortable sharing their ideas. By facilitating activities for …

Effects Of Self-Assessment On Math Homework, Diane Swartzlander

Action Research Projects

In this action research study of my eighth grade differentiated Algebra students, I investigated the effects of students using self-assessment on their homework. Students in my class were unmotivated and failed test objectives consistently. I wanted students to see that they controlled their learning and could be motivated to succeed. Formative assessment tells students how they need to improve. Learning needs to happen before they can be assessed. Self-assessment is one tool that helps students know if they are learning. A rubric scoring guide, daily documentation sheet and feedback on homework and test correlations were used to help students monitor …

Calculators In The Classroom: Help Or Hindrance?, Christina L. Sheets

Action Research Projects

In a world where technology is ever present and ever changing, is too much technology at too young of an age detrimental to a child’s educational success? The purpose of this paper is to share the results of a four-month study that focused on the use of calculators in grade eight. This study was conducted in an eighth grade class, in a small kindergarten through twelfth grade school. This paper will share the findings of a study of a classroom in which calculator use was limited and mental computation was emphasized. The main focus of this study was whether or …

Improving Students’ Story Problem Solving Abilities, Josh Severin

Action Research Projects

In this action research study of my classroom of 8th grade mathematics students, I investigated if learning different problem solving strategies helped students successfully solve problems. I also investigated if students’ knowledge of the topics involved in story problems had an impact on students’ success rates. I discovered that students were more successful after learning different problem solving strategies and when given problems with which they have experience. I also discovered that students put forth a greater effort when they approach the story problem like a game, instead of just being another math problem that they have to solve. An …

Understanding The Mathematical Language, Carmen Melliger

Action Research Projects

In this action research study of my calculus classroom consisting of only 12th grade students, I investigated activities that would affect a student’s understanding of mathematical language. The goal in examining these activities in a systematic way was to see if a student’s deeper understanding of math terms and symbols resulted in a better understanding of the mathematical concepts being taught. I discovered that some students will rise to the challenge of understanding mathematics more deeply, and some will not. In the process of expecting more from students, the frustration level of both the students and the teacher increased. As …

Building Math Esteem In Fifth Grade Students, Karen Schur

Departament of Teaching, Learning, and Teacher Education: Master's of Arts in Teaching, Summative Projects

In this action research study of my classroom of 5th grade mathematics, I investigate the levels of math esteem in each student and as a classroom. The definition of esteem on which I am basing my research is the judgment or estimation of the self-assurance of a student in math. I discovered that several of the students entered my classroom with a middle to low level of esteem in math, and about a third of the class already exhibited a positive, high esteem in math. After implementation of the research, and interpreting the data, I believe almost all the students …

It Is Not Just The Solution Anymore, Carol Brown

Departament of Teaching, Learning, and Teacher Education: Master's of Arts in Teaching, Summative Projects

In this action research study of a fifth grade enrichment mathematics class, I investigate how problem solving strategies and group work opportunities influence the students’ use of strategies and graphic representations. Though there are no large gains in the students’ use of strategies, some students show minor gains in their use of representations. I also investigate the influence of group work upon usage of representations. At the beginning of the study most students indicate that working in groups is helpful in finding solutions. Toward the end, 52.9 percent of the students indicate that while group work is beneficial for “reasoning” …

Testing Naval Artillery And Other Things, Tricia Buchanan

Department of Mathematics: Master's of Arts in Teaching, Exam Expository Papers

In WWII a tremendous amount of artillery shells were made to support the war efforts. There were problems with the artillery shells sent to the battlefield; the main problem was their lack of ability to blow things up. In other words, they were duds! While one may think that dud shells were the proverbial rare case, in my paper I hope to show you that instead it unfortunately seemed more the norm. The reasons behind this are varied but in this paper I will focus on the testing practices of the artillery shells and some of the issues that occurred …

Jean Baptiste Joseph Fourier, Gary Eisenhauer

Department of Mathematics: Master's of Arts in Teaching, Exam Expository Papers

Jean Baptiste Joseph Fourier was born in Auxerre, France on March 21, 1768. He was the ninth of twelve children from his father’s second marriage. When he was nine, his mother died. The following year, his father, a tailor, also passed.

Ethnomathematics, Chad Larson

Department of Mathematics: Master's of Arts in Teaching, Exam Expository Papers

When asked to think about a foreign country the first thing that comes to my mind is the language barrier and the customs that accompany that specific country. The culture of the citizens and how it differs from my culture are also things which peak my interest. Things which I view as “normal” may seem very odd to someone who lives thousands of miles away, and likewise, traditions that have been past down from generations of people from distant lands may seem peculiar to me. These customs and cultures of which I speak are also the things that make this …

How To Graphically Interpret The Complex Roots Of A Quadratic Equation, Carmen Melliger

Department of Mathematics: Master's of Arts in Teaching, Exam Expository Papers

As a secondary math teacher I have taught my students to find the roots of a quadratic equation in several ways. One of these ways is to graphically look at the quadratic and see were it crosses the x-axis. For example, the equation of y = x2 – x – 2, as shown in Figure 1, has roots at x = -1 and x = 2. These are the two places in which the sketched graph crosses the x-axis.

Experimentation With Two Formulas By Ramanujan, Daniel Schaben

Department of Mathematics: Master's of Arts in Teaching, Exam Expository Papers

Srinivasa Ramanujan was a brilliant mathematician, considered by George Hardy to be in the same class as Euler, Gauss, and Jacobi. His short life, marred by illness and tragic educational events, was unique in the history of mathematics. Mathematical discoveries are still being gleaned from his personal notebooks. Paper was a hard commodity to come by so his notebooks were a cluttered mix of pen over pencil mathematical hieroglyphics. The following highlights Ramanujan’s life in connection with Hardy, his work with ellipses, and his work with the partition function.

Master Of Arts In Teaching (Mat), Josh Severin

Department of Mathematics: Master's of Arts in Teaching, Exam Expository Papers

The number zero is a very powerful tool in mathematics that has many different applications and rules. An interesting fact about the number zero is that according to our calendar (the Gregorian calendar), there is no “year zero” in our history. There is also no “zeroth” century as time is recorded from centuries B.C. to the 1st century A.D. However, certain calendars do have a year zero. In the astronomical year numbering system year zero is defined as year 1 BC. Buddhist and Hindu lunar calendars also have a year zero. In this paper I am going to discuss many …

Simple Statements, Large Numbers, Shana Streeks

Department of Mathematics: Master's of Arts in Teaching, Exam Expository Papers

Large numbers are numbers that are significantly larger than those ordinarily used in everyday life, as defined by Wikipedia (2007). Large numbers typically refer to large positive integers, or more generally, large positive real numbers, but may also be used in other contexts. Very large numbers often occur in fields such as mathematics, cosmology, and cryptography. Sometimes people refer to numbers as being “astronomically large”. However, it is easy to mathematically define numbers that are much larger than those even in astronomy. We are familiar with the large magnitudes, such as million or billion. In mathematics, we may know a …

Perimeter And Area Of Inscribed And Circumscribed Polygons, Lindsey Thompson

Department of Mathematics: Master's of Arts in Teaching, Exam Expository Papers

This paper looks at comparing the perimeter and area of inscribed and circumscribed regular polygons. All constructions will be made with circles of radius equal to 1 unit. To begin this exploration, I created a circle with a radius of 1(for my purposes I used 1 inch as my unit of measure). I chose my first construction to contain the most basic regular polygon, an equilateral triangle. A regular polygon implies that all sides of the figure are equal and all interior angles of the figure are congruent. My first construction shows an equilateral triangle inscribed in a circle (see …

The Four Numbers Game, Tina Thompson

Department of Mathematics: Master's of Arts in Teaching, Exam Expository Papers

The Four Numbers Game is a fun way to work with subtraction and ordering of numbers. While trying to find an end to a game that is played with whole numbers, there are several items that will be investigated along the way. First, we offer an introduction to how the game is played. Second, rotations and reflections of a square will be presented which will create a generalized form. Third, we explain how even and odd number combinations will always end in even numbers within four subtraction rounds. Fourth, we argue that the length of the game does not change …

Order Of Operations And Rpn, Greg Vanderbeek

Department of Mathematics: Master's of Arts in Teaching, Exam Expository Papers

There is not a wealth of information regarding the history of the notations and procedures associated with what is now called the “order of operations”. There is evidence that some agreed upon order existed from the beginning of mathematical study. The grammar used in the earliest mathematical writings, before mathematical notation existed, supports the notion of computational order (Peterson, 2000). It is clear that one person did not invent the rules but rather current practices have grown gradually over several centuries and are still evolving.