Digital Commons Network^™

Phsx 207n.01: College Physics Ii, Alexander Bulmahn

University of Montana Course Syllabi, 2016-2020

No abstract provided.

Parameterization Of Single-Scattering Albedo (Ssa) And Absorption Ångström Exponent (Aae) With Ec/Oc For Aerosol Emissions From Biomass Burning, Rudra P. Pokhrel, Nick L. Wagner, Justin M. Langridge, Daniel A. Lack, Thilina Jayarathne, Elizabeth A. Stone, Chelsea E. Stockwell, Robert J. Yokelson, Shane M. Murphy

Chemistry and Biochemistry Faculty Publications

Single-scattering albedo (SSA) and absorption Ångström exponent (AAE) are two critical parameters in determining the impact of absorbing aerosol on the Earth's radiative balance. Aerosol emitted by biomass burning represent a significant fraction of absorbing aerosol globally, but it remains difficult to accurately predict SSA and AAE for biomass burning aerosol. Black carbon (BC), brown carbon (BrC), and non-absorbing coatings all make substantial contributions to the absorption coefficient of biomass burning aerosol. SSA and AAE cannot be directly predicted based on fuel type because they depend strongly on burn conditions. It has been suggested that SSA can be effectively parameterized …

Advancing Algorithms For Mass Spectrometry Data Analysis, Rob Smith

University Grant Program Reports

Our objective with this award was to conduct the preliminary experiments necessary to assess the state of the art of existing mass spectrometry signal segmentation algorithms. Although unforeseeable complications prevented the completion of all proposed research goals, completed research aims resulted in:

• A cross-platform mass spectrometry data viewer with the ability to pan, zoom, and scroll.
• Motivation for experimental ground truth data through exposing breakdown cases of the leading mass spectrometry simulator.
• A completed code framework for running and testing existing isotopic trace segmentation algorithms.

Since the receipt of this award, we have submitted three related external research proposals. One …

Editorial, Bharath Sriraman

The Mathematics Enthusiast

No abstract provided.

Tme Volume 13, Number 3

The Mathematics Enthusiast

No abstract provided.

The Secret Life Of 1/N: A Journey Far Beyond The Decimal Point, Christopher Lyons

The Mathematics Enthusiast

The decimal expansions of the numbers 1/n (such as 1/3 = .03333..., 1/7 = 0.142857...) are most often viewed as tools for approximating quantities to a desired degree of accuracy. The aim of this exposition is to show how these modest expressions in fact have much more to offer, particularly in the case when the expansions are infinitely long. First we discuss how simply asking about the period (that is, the length of the repeating sequence of digits) of the decimal expansion of 1/n naturally leads to more sophisticated ideas from elementary number theory, as well as to …

The History Of Algorithmic Complexity, Audrey A. Nasar

The Mathematics Enthusiast

This paper provides a historical account of the development of algorithmic complexity in a form that is suitable to instructors of mathematics at the high school or undergraduate level. The study of algorithmic complexity, despite being deeply rooted in mathematics, is usually restricted to the computer science curriculum. By providing a historical account of algorithmic complexity through a mathematical lens, this paper aims to equip mathematics educators with the necessary background and framework for incorporating the analysis of algorithmic complexity into mathematics courses as early on as algebra or pre-calculus.

Integral Of Radical Trigonometric Functions Revisited, Natanael Karjanto, Binur Yermukanova

The Mathematics Enthusiast

This article revisits an integral of radical trigonometric functions. It presents several methods of integration where the integrand takes the form 1+/- sin x or 1+/- cos x. The integral has applications in Calculus where it appears as the length of cardioid represented in polar coordinates.

Mathematical Problem-Solving Via Wallas’ Four Stages Of Creativity: Implications For The Undergraduate Classroom, Milos Savic

The Mathematics Enthusiast

The central theme in this article is that certain problem-solving frameworks (e.g., Polya, 1957; Carlson & Bloom, 2005) can be viewed within Wallas’ four stages of mathematical creativity. The author attempts to justify the previous claim by breaking down each of Wallas’ four components (preparation, incubation, illumination, verification) using both mathematical creativity and problem-solving/proving literature. Since creativity seems to be important in mathematics at the undergraduate level (Schumacher & Siegel, 2015), the author then outlines three observations about the lack of fostering mathematical creativity in the classroom. Finally, conclusions and future research are discussed, with emphasis on using technological advances …

Plato On The Foundations Of Modern Theorem Provers, Ines Hipolito

The Mathematics Enthusiast

Is it possible to achieve such a proof that is independent of both acts and dispositions of the human mind? Plato is one of the great contributors to the foundations of mathematics. He discussed, 2400 years ago, the importance of clear and precise definitions as fundamental entities in mathematics, independent of the human mind. In the seventh book of his masterpiece, The Republic, Plato states “arithmetic has a very great and elevating effect, compelling the soul to reason about abstract number, and rebelling against the introduction of visible or tangible objects into the argument” (525c). In the light of this …

Aesthetics In School Mathematics: A Potential Model And A Possible Lesson, Hartono Tjoe

The Mathematics Enthusiast

Earlier studies on improving classroom practice in mathematics have suggested a closer attention to nurturing an aesthetic appreciation for mathematics in students’ learning experiences. Recent evidence nonetheless reveals little indication of its presence. This article offers a potential model of the case for aesthetics in school mathematics. Central to this model is the harmonious hierarchy of necessity, existence, and uniqueness without any of which the case for aesthetics in student learning might be suboptimal, if not untenable. This article offers an example of the proposed model using a possible lesson designed to engage students aesthetically in the learning of mathematics. …

Meet The Authors

The Mathematics Enthusiast

No abstract provided.

Connections, July 2016, University Of Montana--Missoula. Mansfield Library

Connections

No abstract provided.

July 2016 News Releases, University Of Montana--Missoula. Office Of University Relations

University of Montana News Releases, 1928, 1956-present

No abstract provided.

June 2016 News Releases, University Of Montana--Missoula. Office Of University Relations

University of Montana News Releases, 1928, 1956-present

No abstract provided.

University Of Montana Commencement Program, 2016, University Of Montana--Missoula. Office Of The Registrar

University of Montana Commencement Programs, 1898-2020

Commencement program from the University of Montana.

Laying The Foundation For Effective Natural Resource Management, Teresa Scanlon

Graduate Student Portfolios, Professional Papers, and Capstone Projects

The following portfolio describes three distinct, yet not mutually exclusive, approaches for managing water and other resources. A common theme throughout the three approaches is that they “lay the foundation” for future management, and each piece depicts a different approach to natural resource management planning. Part One is the final report for a research and planning contract for Lolo Watershed Group. Watershed science and restoration field techniques are used to inform and develop a scope of work document for Montana Department of Environmental Quality for a future revegetation restoration project on Lolo Creek. Part Two describes some of the co-facilitation …

Minutes From The May 5, 2016 Meeting Of The University Of Montana Faculty, University Of Montana--Missoula. Faculty

University of Montana Faculty Senate Meeting Minutes

Meeting minutes from the May 5, 2016 meeting of the University of Montana faculty.

Strengthening Early Mathematical Foundations: Number Recognition, Mary C. Burns

University of Montana Conference on Undergraduate Research (UMCUR)

Children enter elementary school with a diverse range of mathematical understanding, and students’ preliminary mathematical experiences can have a lasting effect on their self efficacy and attitudes towards school. Number recognition is an essential skill of early numeracy that allows for students to develop a strong mathematical foundation to build upon, and instructing these skills early is vital for children to view education with a positive outlook. Unfortunately, many students struggle with this facet of early numeracy.

This study focuses on how one ‘intensive’ kindergarten student’s number recognition skills were affected by individualized interventions. It explores where the student struggled …

Chute Cutoffs And Alluvial Point Bar Morphodynamics: How Rivers Move Over Time, Caelan Simeone

University of Montana Conference on Undergraduate Research (UMCUR)

The reach of the Clark Fork River just west of Missoula is quite dynamic, and due to erosion and deposition of sediments can shift quite rapidly during floods. During spring runoff in 2012 the main channel of the Clark Fork River about 1.3 miles west of the Reserve Street Bridge scoured through the point bar (a type of gravel or sand bar) on the inside of a meander bend and created a new channel. This event is called a chute cutoff and is one of two main ways that rivers cut through their banks to create new channels. Understanding of …

Umcur 2016 Program Pdf

University of Montana Conference on Undergraduate Research (UMCUR)

The original program includes the general schedule as well as individual poster and presentation schedules and abstracts.

Minutes From The April 14, 2016 Meeting Of The University Of Montana Faculty, University Of Montana--Missoula. Faculty

University of Montana Faculty Senate Meeting Minutes

Meeting minutes from the April 14, 2016 meeting of the University of Montana faculty.

Montana Kaimin, April 13-19, 2016, Students Of The University Of Montana, Missoula

Montana Kaimin, 1898-present

Student newspaper of the University of Montana, Missoula.

Crown Of The Continent And The Greater Yellowstone Magazine - Winter/Spring 2016, University Of Montana, Missoula

Crown of the Continent and the Greater Yellowstone Magazine

Table of Contents: Well, Hello Kitty... -- Some Like It Hot -- WHY Protect the Greater Yellowstone? -- The Yellowstone River Part IV: Through the Paradise Valley -- ART: Yellowstone National Park in Winter White by Bill Voxman -- Winterkeepers: Canyon Village -- Winterkeepers: Many Glacier -- Beavers: An Ally or an Inconvenient Species? -- Citizen Scientsts...in Search of the Canary in the Coal Mine -- The Badger Two Medicine...Where I Practice My Religion -- A Deadly Game of Hide and Seek -- Book Reviews -- Field Notes

Department Of Mathematical Sciences Newsletter, Spring 2016, University Of Montana--Missoula. Department Of Mathematical Sciences

Newsletters from the Department of Mathematical Sciences at UM

Margie Dennison: Portrait of an Unusual Math Major / Matt Roscoe -- Research in the Desert / Kevin Joyce -- Notes from the Chair / Emily Stone -- Data Science at UM / Brian Steele -- Spring 2016 Scholarship and Award Winners -- Honor Roll of Donors -- Degree Recipients 2015-16 -- Sleepless in Seattle (Doing Math)

Snmipnuntn, August 2016, University Of Montana--Missoula. Mansfield Library

Snmipnuntn

No abstract provided.

Montana Business Quarterly, Spring 2016, University Of Montana--Missoula. Bureau Of Business And Economic Research

Montana Business Quarterly, 1949-2021

This is an academic publication produced by the Bureau of Business and Economic Research (BBER) at the University of Montana’s College of Business. This is volume 54, number 1.

Minutes From The March 10, 2016 Meeting Of The University Of Montana Faculty, University Of Montana--Missoula. Faculty

University of Montana Faculty Senate Meeting Minutes

Meeting minutes from the March 10, 2016 meeting of the University of Montana faculty.

March 2016 News Releases, University Of Montana--Missoula. Office Of University Relations

University of Montana News Releases, 1928, 1956-present

No abstract provided.

Assessing Mathematical Knowledge For Teaching: The Role Of Teaching Context, Geoffrey Phelps, Heather Howell

The Mathematics Enthusiast

Assessments of mathematical knowledge for teaching (MKT), which are often designed to measure specialized types of mathematical knowledge, typically include a representation of teaching practice in the assessment task. This analysis makes use of an existing, validated set of 10 assessment tasks to both describe and explore the function of the teaching contexts represented. We found that teaching context serves a variety of functions, some more critical than others. These context features play an important role in both the design of assessments of MKT and the types of mathematical knowledge assessed.