Teacher Education and Professional Development Commons^™

Mathematics Classrooms At The Middle School Level: Does Grouping Make A Difference In Achievement, Adam Smieja

Mathematics Graduate Theses

This paper reviewed related research on student achievement based on how students were grouped, homogeneously or heterogeneously. Questions examined were whether students performed better in heterogeneous or homogenous groupings and to what extent did high-, average-, and low-ability students perform better in a particular group. Results showed that high-ability students in homogeneous groupings had higher gains in achievement when compared to their counterparts in heterogeneous groupings. However, gains for these high-ability students were not statistically significant. On the contrary, average-, and low-ability students did show statistically significant gains in achievement in the heterogeneous groupings. Yet, despite their effectiveness, implementation of …

Team-Teaching Experiences Of A Mathematician And A Mathematics Teacher Educator: An Interpretative Phenomenological Case Study, Sarah K. Bleiler

USF Tampa Graduate Theses and Dissertations

In recent years, experts and organizations involved in mathematics education have emphasized the importance of collaboration between mathematicians and mathematics teacher educators as a means of improving the professional preparation of mathematics teachers. While several such collaborative endeavors have been documented in the extant literature, most research reports have focused on the products, rather than the process, of collaboration. The purpose of this interpretative phenomenological case study is to gain an understanding of the lived experiences of a mathematician and a mathematics teacher educator as they engaged in a team-teaching collaboration within the context of prospective secondary mathematics teacher preparation. …

The Mathematics Portfolio: An Alternative Tool To Evaluate Students’ Progress, Marla A. Sole

Publications and Research

This article describes the need for more thorough and varied forms of assessment to evaluate students’ level of understanding in mathematics. Portfolios are one type of assessment tool that, when added to a teacher’s repertoire can improve students’ comprehension and retention and enable students to monitor their own progress and to take more responsibility for their own learning. Portfolio assignments can also help students and teachers to detect and remedy weaknesses and misunderstandings and can increase students’ self-confidence in mathematics. This article discusses what a portfolio is, gives an example of a unit portfolio used in an undergraduate Finite Mathematics …

How To Reach All Types Of Learners Through The Use Of Manupulatives In Grades Three, Four, And Five, Cadie Fairchild

Mathematics Graduate Theses

This paper is an examination of research concerning the use of manipulatives with third, fourth, and fifth grade mathematics instruction. The research discusses the power of child discovery, stages of representation, using manipulatives to support learning, eliminating manipulatives prematurely, and eliminating negative stereotypes linked to manipulative use. A major concern of teaching with manipulatives is the knowledge of the teacher. An educator’s role is to provide the best learning opportunities for students. Research reviewed for this paper indicates frequent hands on activities using manipulatives. They need to be aware of the many learning stages and how to address each individual …

Session E-1: Self-Paced Proficiency Based Physics – Updates And Extensions, Brooke Schmidt, Eric Hawker

Professional Learning Day

This presentation will cover how a typical introductory physics course has been transformed into one that is self-paced and proficiency graded. The changes were made so that each student would be challenged at his/her level and therefore be more engaged in the course. This structure allows the teacher to individualize instruction of the students. The presentation will also cover adjustments that were made to this model based on student feedback and experiences. The model used to make this course self-paced and proficiency graded should be transferable to other courses.

Session D-6: Teaching Modern Physics, Peter Dong

Professional Learning Day

Modern physics is an excellent way to get students interested in physics – the “weirdness” of relativity and quantum mechanics captures the imagination. This presentation discusses how to teach the subject in a way that encourages this interest. This year’s session will focus on teaching quantum mechanics in a way that is interesting to students and avoids common misconceptions.

Session D-3: Discrete Mathematics: A Great Curriculum Connector, Donald Porzio

Professional Learning Day

Many topics that fall under the umbrella of Discrete Mathematics cut across the traditional high school curriculum areas of algebra, geometry, and pre-calculus. Come try some classroom-ready hands-on Discrete Mathematics activities that illustrate the true interconnectedness of mathematics.

Session A-1: Environmental Chemistry – Chemistry In Context, Branson Lawrence

Professional Learning Day

The use of the ACS curriculum combined with group and individual projects to teach entry level chemistry through the context of environmental chemistry.

Professional Learning Community Impacts On Student Achievement In Middle School Mathematics, Jessica Stuewe

Mathematics Graduate Theses

The development of professional learning communities in middle level education is a relatively new and trendy concept sweeping the nation. School professional development committees are training large numbers of teachers through conferences, book studies and online webinars on how to collaborate to improve student learning. This research will explore the impact of the first year of implementation of a departmental professional learning community (PLC) on student achievement at the middle school level in the content area of mathematics. Student standardized test scores from 2010 and 2011 will be compared as a measure of success of the PLC. Teacher surveys are …

Shaping The Future Past: Finding History, Creating Identity In The Kwan Hsu Papers, Lisa Chere' Donnelly

Dissertations and Theses

Dr. Kwan Hsu was neither a superstar nor a celebrity. Her name does not come up in conversations about important contributors to her field of biophysics nor is she instantly recognizable for her contributions to Portland State University's international program or the state of Oregon's business ties with China. Yet she was a contributor, a cog-in-the-wheel, at the very least, in all of these areas and more. She was a peripheral member of a well-known Chinese family, but few in the United States know of or perhaps have interest in, but otherwise, she had no great connections or family ties …

Analyzing Common Algebra-Related Misconceptions And Errors Of Middle School Students., Sarah B. Bush

Electronic Theses and Dissertations

The purpose of this study was to examine common algebra-related misconceptions and errors of middle school students. In recent years, success in Algebra I is often considered the mathematics gateway to graduation from high school and success beyond. Therefore, preparation for algebra in the middle grades is essential to student success in Algebra I and high school. This study examines the following research question: What common algebra-related misconceptions and errors exist among students in grades six and eight as identified on student responses on an annual statewide standardized assessment? In this study, qualitative document analysis of existing data was used …

Being Outside Learning About Science Is Amazing: A Mixed Methods Study, Michelle L. Weibel

UNLV Theses, Dissertations, Professional Papers, and Capstones

This study used a convergent parallel mixed methods design to examine teachers' environmental attitudes and concerns about an outdoor educational field trip. Converging both quantitative data (Environmental Attitudes Scale and teacher demographics) and qualitative data (Open-Ended Statements of Concern and interviews) facilitated interpretation. Research has shown that adults' attitudes toward the environment strongly influence children's attitudes regarding the environment. Science teachers' attitudes toward nature and attitudes toward children's field experiences influence the number and types of field trips teachers take. Measuring teacher attitudes is a way to assess teacher beliefs.

The one day outdoor field trip had significant outcomes for …

Investigating The Role Of The Internet In Women And Minority Stem Participation: A Case Study Of Two Florida Engineering Programs, Arland Nguema Ndong

USF Tampa Graduate Theses and Dissertations

Despite our awareness of the fascination modern humans have with the Internet, little is known about how and why colleges and universities create and maintain Websites. At the most general level, in this case study, I hypothesize that university Websites serve as communication and marketing tools in attracting students. At the most specific level, I postulate that civil engineering programs with Web pages depicting images of women and minorities would be more successful in recruiting and retaining women and students of color than civil engineering programs with Web pages displaying fewer or no images of women and minorities. The primary …

Excellent Adventures In Global Collaboration, Glenn W. "Max" Mcgee, Aracelys Rios

Publications & Research

No abstract provided.

Feeling, Experiencing, Learning: Environmental Education At Escola Vila, Isabelle Aida Heilman

Independent Study Project (ISP) Collection

Teaching children about the importance of the protecting environment is a key step in preparing future generations to solve environmental issues. The purpose of this paper is to describe and analyze how Escola Vila in Fortaleza, Brazil integrates environmental education into its curriculum to promote positive environmental actions later in the children’s lives. Classroom observations revealed how environmental education is incorporated into the curriculum in an interdisciplinary way. Students at Escola Vila learn about the environment through creative projects, experiential learning, sustainable practices on the campus and human rights education. Interviews with alumni showed that these four ways that Escola …

Education For Sustainability As A 21st Century Literacy, Nancy Givens

Education for Sustainability Summer Institute

No abstract provided.

Computational Insight With Monte Carlo Simulations, Boyan Kostadinov

Publications and Research

We introduce Monte Carlo simulations for estimating areas by playing a game of "darts". We also introduce simulations of random walks. We use compact, vectorized programming, based on the R language, for all computer simulations and visualizations, aimed at high school students. This presentation is based on the Invited, prime time lecture given at the summer camp for gifted high school students at City College of New York, July 13, 2011.

Reflecting On The World Environment Day, Darvesh Karim

Professional Development Centre, Gilgit

No abstract provided.

Lesson’S Learned: A Journey In Computational Science, Ryan Botts, Lori Carter

ACMS Conference Proceedings 2011

Inspired by work on building a computational science program and student questions about modeling, we aim to discuss some of our experiences with computational science. We will first clarify what computational science is, why it is a legitimate science, why it is worth our students’ time and what makes it a challenging field. We will also discuss how computer scientists, mathematicians and laboratory scientists each have something different to contribute to the field.

A Bayesian Secondary Analysis In An Asthma Study, Samuel P. Wilcock, Vernon M. Chinchilli, Stephen P. Peters

ACMS Conference Proceedings 2011

A recent study published in the New England Journal of Medicine by the Asthma Clinical Research Network (ACRN) compared three different treatments for their effectiveness in treating adults with uncontrolled asthma. This paper will describe the study design and its results, then detail the beginnings of a secondary analysis using Bayesian methods to estimate the parameters of interest. The methods will be explained, and the preliminary estimates given and contextualized. The paper will conclude with a discussion of the next steps and the goals for further analysis of the data in this study.

What We Can Learn From Process Theology: Integrating Faith And Mathematics, Josh Wilkerson

ACMS Conference Proceedings 2011

In the inaugural issue of The Journal of the Association of Christians in the Mathematical Sciences, James Bradley, the founding editor, suggests fourteen areas that need to be addressed by Christian mathematicians who are series about integrating their faith and their work. One of those areas is the topic of this paper. Bradly frames the question: “Some thinkers (perhaps influenced by process theology) have asserted the idea that God’s creation is not a finished work but that he creates new mathematical objects through mathematicians. Is this idea theologically sound? Is it helpful for our understanding of mathematics?” I copy …

Google And The Mathematics Of Web Search, Michael Rempe

ACMS Conference Proceedings 2011

This article examines the algorithms used by Google to rank search engine results, called PageRank.

Calculus Communication Circle, Judith Palagallo

ACMS Conference Proceedings 2011

Calculus Communication Circle is a network for the professional development of Advanced Placement Calculus teachers. In Northeast Ohio the Circle provides a forum where teachers meet to share ideas about mathematics and the teaching of calculus. This article describes the creation of the Circle and the progress it has made over its three year existence.

Using Original Historical Mathematics Texts In The Classroom, Maria Zack

ACMS Conference Proceedings 2011

Incorporating information from the history of mathematics into undergraduate mathematics courses is an effective way to help students make connections between the mathematics they are learning and their general education courses. It also helps students to see mathematics as living subject that has changed over time. One way to introduce historical topics into a variety of classes is through the use of original mathematical texts. This paper describes how non-experts can make use of original texts and provides sources for identifying candidate texts.

The Mathematics Of Cubic Sudoku, Nicholas Zoller

ACMS Conference Proceedings 2011

In the last decade the Sudoku puzzle has fixed itself in America’s puzzle consciousness. Sudoku puzzles share space with crossword puzzles and word finds in newspaper puzzle sections, and several books have been written for the Sudoku playing community. Mathematicians are among the most dedicated Sudoku players. Although some are content with simply solving puzzle after puzzle, others have used tools from combinatorics and algebra to study its important properties.

We investigate a variant of Sudoku called Cubic Sudoku, as well as Cubic Sudoku’s simpler relative, Cubic Shidoku. We successfully count the number of Cubic Shidoku puzzles in two different …

Math History Study Abroad Program: Learning Math History In A Cultural Context, Donna Pierce

ACMS Conference Proceedings 2011

In January 2011 fifteen Whitworth University mathematics students and I, their professor, traveled through Europe to study the history of mathematics. The goal was to gain an understanding of how mathematical ideas have developed over time; how social, cultural and historical factors have influenced the development of mathematics and conversely, how mathematics contributed to society and human culture. Over a course of three weeks we traveled to three countries and over a half dozen cities, viewing the tools, papers and workbooks or these mathematicians, seeing their engineering and artistic creations, and learning from local experts as they guided us through …

Thinking Philosophically About Mathematics, Robert L. Brabenec

ACMS Conference Proceedings 2011

In my early years as a teacher of mathematics, the history of mathematics was seldom mentioned in the classroom. It was viewed as an unworthy topic that would detract from the presentation of mathematics itself. This opinion has dramatically changed over the years, and the history of mathematics is now embraced and used by many mathematicians in their teaching and even research. We might choose to ask a related question. How much philosophy is necessary or helpful for a mathematics teacher to know, and to use in his or her teaching? We see a growing interest in the philosophy of …

The Need For A Graphics Programming Course, Nathan Gossett

ACMS Conference Proceedings 2011

A discussion of the benefits of offering a course on programming Computer Graphics in an undergraduate Computer Science curriculum. A sample course outline is provided, as well as a discussion of ways to conduct lectures, labs and a list of suggested assignments. A discussion of “dos and don’t s will also be presented, including a list of required prerequisite courses and skills that students would need in order for the course to be a success.

Bringing Undergraduate Research Into The Classroom, Stephen Lovett

ACMS Conference Proceedings 2011

Mathematics graduate programs and companies that employ math majors often want to ascertain an applicant’s potential for research. However, in many undergraduate courses, assessments consist only of regular exercise sets, quizzes, and in-class tests. Without doing a senior research thesis or landing an official REUs, students do not regularly gain experience in or an appreciation for research. Courses in the humanities regularly require students to write in the discipline, progressively preparing them methodologically for “writing in the field.” This begs the question: could math departments do a little more to prepare our students to use mathematics beyond college?

In this …

Real Simulations And Simulated Reality, Wayne Iba

ACMS Conference Proceedings 2011

Movies such as The Matrix have stimulated popular interest in “brain in a vat” scenarios. Amidst the traditional questions of the mind, we tend to overlook an integral enabling component—the world simulation—which merits consideration in its own right. When facing the simulations in these imagined scenarios, we struggle with conceptual muddles regarding what is real and not. In this paper, I argue that simulated worlds are every bit as real as the one we inhabit. This turns out to be important when considering the possibility, as suggested by Nick Bostrom, that the world we experience as “real” is actually a …