Digital Commons Network^™

M 133.03: Geometry And Measurement For K-8 School Teachers, Bonnie S. Spence

University of Montana Course Syllabi

No abstract provided.

M 132.01: Number And Operations For K-8 School Teachers, Bonnie S. Spence

University of Montana Course Syllabi

No abstract provided.

Phsx 217n.01: Fund Of Physics W/Calc Ii, Daniel B. Reisenfeld

University of Montana Course Syllabi

No abstract provided.

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

University of Montana Course Syllabi

No abstract provided.

February 2017 News Releases, University Of Montana--Missoula. Office Of University Relations

University of Montana News Releases, 1928, 1956-present

No abstract provided.

M 273.01: Multivariable Calculus, Nikolaus Vonessen

University of Montana Course Syllabi

No abstract provided.

Astr 132n.Y1: Stars, Galaxies And The Universe, Nathan T. Mccrady

University of Montana Course Syllabi

No abstract provided.

Psyx 521.01: Advanced Psychological Statistics Ii, Daniel Denis

University of Montana Course Syllabi

No abstract provided.

Thtr 255.01: Drafting For Theatre, Michael Monsos

University of Montana Course Syllabi

No abstract provided.

Astr 132.01: Stars, Galaxies And The Universe, Nathan T. Mccrady

University of Montana Course Syllabi

No abstract provided.

Stat 544.01: Statistical Learning, Brian M. Steele

University of Montana Course Syllabi

No abstract provided.

M 462.01: Theoretical Theories Of Big Data Analytics And Real Time Computation Algorithms, Leonid Kalachev, Peter V. Golubtsov

University of Montana Course Syllabi

No abstract provided.

M 162.00: Applied Calculus, Leonid Kalachev

University of Montana Course Syllabi

No abstract provided.

Phsx 327.01: Optics, Paul H. Janzen

University of Montana Course Syllabi

No abstract provided.

Psyx 583.01: Educational Assessment And Intervention, Anisa Goforth

University of Montana Course Syllabi

No abstract provided.

Cjus 488.01: Forensic Science The Crime Lab And Beyond, Randall R. Skelton

University of Montana Course Syllabi

No abstract provided.

Multi-Instrument Comparison And Compilation Of Non-Methane Organic Gas Emissions From Biomass Burning And Implications For Smoke-Derived Secondary Organic Aerosol Precursors, Lindsay E. Hatch, Robert J. Yokelson, Chelsea E. Stockwell, Patrick R. Veres, Isobel J. Simpson, Donald R. Blake, John J. Orlando, Kelley C. Barsanti

Chemistry and Biochemistry Faculty Publications

Multiple trace-gas instruments were deployed during the fourth Fire Lab at Missoula Experiment (FLAME- 4), including the first application of proton-transfer-reaction time-of-flight mass spectrometry (PTR-TOFMS) and comprehensive two-dimensional gas chromatography-time-offlight mass spectrometry (GC×GC-TOFMS) for laboratory biomass burning (BB) measurements. Open-path Fourier transform infrared spectroscopy (OP-FTIR) was also deployed, as well as whole-air sampling (WAS) with onedimensional gas chromatography-mass spectrometry (GCMS) analysis. This combination of instruments provided an unprecedented level of detection and chemical speciation. The chemical composition and emission factors (EFs) determined by these four analytical techniques were compared for four representative fuels. The results demonstrate that the instruments are …

Dealing With Mathematical Anxiety: Should One Size Fit All?, Jon Warwick

The Mathematics Enthusiast

Many students who have to study mathematics as an enabling subject within higher education experience mathematical anxiety to a greater or lesser extent. This affliction can impact student learning and achievement in mathematics and so a number of strategies have been suggested for alleviating mathematical anxiety or at least moderating its effects. This paper reports on a comparison of the mathematical anxiety experienced by two groups of students each studying a different subject discipline. The results indicate that the groups have quite different levels of anxiety and the differing contributing factors between the groups suggest that approaches to remediation need …

Common Core And Stem Opportunities, Lane H. Walker, Helene J. Sherman

The Mathematics Enthusiast

There is an increasing need for educators at all levels to equip more students with problem-solving skills that better fit our changing work force. Students are largely unaware of many science-, technology-, engineering-, and math-related (STEM) careers. They often do not understand the importance of those careers or what skills are required to pursue them. Students are exposed to some of those skills if they take Career Technical Education (CTE) classes, but rarely do they see the connections in their core math classes. Math teachers have pointed to their dense curricula as making STEM integration impractical. A study of the …

Mathematical Creativity For The Youngest School Children: Kindergarten To Third Grade Teachers’ Interpretations Of What It Is And How To Promote It, Yinjing Shen, Carolyn Pope Edwards

The Mathematics Enthusiast

Creativity is important for young children learning mathematics. However, much literature has claimed creativity in the learning of mathematics for young children is not adequately supported by teachers in the classroom due to such reasons as teachers’ poor college preparation in mathematics content knowledge, teachers’ negativity toward creative students, teachers’ occupational pressure, and low quality curriculum. The purpose of this grounded theory study was to generate a model that describes and explains how a particular group of early childhood teachers make sense of creativity in the learning of mathematics and how they think they can promote or fail to promote …

Reorganizing Algebraic Thinking: An Introduction To Dynamic System Modeling, Diana Fisher

The Mathematics Enthusiast

System Dynamics (SD) modeling is a powerful analytical method used by professional scientists, academics, and governmental officials to study the behavior patterns of complex systems. Specifically through use of the Stella software, it is a method that I and others have used for over two decades with high school, and even middle school, math and science students. In this paper I describe an introduction to SD modeling intended for an algebra class (in either middle or high school). In the body of the paper, a nested sequence of simple bank account examples, increasing in complexity, is used to demonstrate a …

Examining The Interaction Of Mathematical Abilities And Mathematical Memory: A Study Of Problem-Solving Activity Of High-Achieving Swedish Upper Secondary Students, Attila Szabo, Paul Andrews

The Mathematics Enthusiast

In this paper we investigate the abilities that six high-achieving Swedish upper secondary students demonstrate when solving challenging, non-routine mathematical problems. Data, which were derived from clinical interviews, were analysed against an adaptation of the framework developed by the Soviet psychologist Vadim Krutetskii (1976). Analyses showed that when solving problems students pass through three phases, here called orientation, processing and checking, during which students exhibited particular forms of ability. In particular, the mathematical memory was principally observed in the orientation phase, playing a crucial role in the ways in which students’ selected their problem-solving methods; where these methods failed to …

Mathematical Modeling Cycles As A Task Design Heuristic, Jennifer A. Czocher

The Mathematics Enthusiast

There are many approaches to task design (Watson & Ohtani, 2015) from a large number of local and global design heuristics. The purpose of this paper is to present how mathematical modeling cycles, a popular way of describing mathematical modeling processes, were used as a task design heuristic.

A Proposed Local Instruction Theory For Teaching Instantaneous Speed In Grade Five, Huub De Beer, Koeno Gravemeijer, Michiel Van Eijck

The Mathematics Enthusiast

In answer to a call for innovative science and technology education in primary education, we started a design research project to explore how to teach instantaneous speed in grade five. In this article we present the results of a series of teaching experiments that were conducted to design, try out, and improve a local instruction theory on teaching instantaneous speed in grade five. In a retrospective analysis, looking for patterns in the whole data set, encompassing all experiments, we identified a set of key learning moment of the students. Based on these patterns, a potentially viable local instruction theory was …

Problems In Relating Various Tasks And Their Sample Solutions To Bloom’S Taxonomy, Torsten Lindstrom

The Mathematics Enthusiast

In this paper we analyze sample solutions of a number of problems and relate them to their level as prescribed by Bloom’s taxonomy. We relate these solutions to a number of other frameworks, too. Our key message is that it remains insufficient to analyze written forms of these tasks. We emphasize careful observations of how different students approach a solution before finally assessing the level of tasks used.

We take the arithmetic series as our starting point and point out that the objective of the discussion of the examples here in no way is to indicate an optimal way towards …

A Brief Look At The Evolution Of Modeling Hyperbolic Space, Shelby Frazier

The Mathematics Enthusiast

Now considered one of the greatest discoveries of mathematical history, hyperbolic geometry was once laughed at and deemed insignificant. Credited most to Lobachevsky and Bolyai, they independently discovered the subject by proving the negation of Euclid’s Fifth Postulate but neither lived long enough to see their work receive any validation. Several models have been constructed since its acceptance as a subject. I’m going to discuss three graphical models: the Klein Model, the Upper Half Plane Model and the Poincaré Disk Model. I will also discuss and construct three tape and paper models: the Annular Model, the Polyhedral Model and the …

Airborne Measurements Of Western U.S. Wildfire Emissions: Comparison With Prescribed Burning And Air Quality Implications, Xiaoxi Liu, L. Gregory Huey, Robert J. Yokelson, Vanessa Selimovic, Isobel J. Simpson, Markus Müller, Jose L. Jimenez, Pedro Campuzano-Jost, Andreas J. Beyersdorf, Donald R. Blake, Zachary Butterfield, Yonghoon Choi, John D. Crounse, Douglas A. Day, Glenn S. Diskin, Manvendra K. Dubey, Edward Fortner, Thomas F. Hanisco, Weiwei Hu, Laura E. King, Lawrence Kleinman, Simone Meinardi, Tomas Mikoviny, Timothy B. Onasch, Brett B. Palm, Jeff Peischl, Ilana B. Pollack, Thomas B. Ryerson, Glen W. Sachse, Arthur J. Sedlacek, John E. Shilling, Stephen Springston, Jason M. St. Clair

Chemistry and Biochemistry Faculty Publications

Wildfires emit significant amounts of pollutants that degrade air quality. Plumes from three wildfires in the western U.S. were measured from aircraft during the Studies of Emissions and Atmospheric Composition, Clouds and Climate Coupling by Regional Surveys (SEAC4RS) and the Biomass Burning Observation Project (BBOP), both in summer 2013. This study reports an extensive set of emission factors (EFs) for over 80 gases and 5 components of submicron particulate matter (PM1) from these temperate wildfires. These include rarely, or never before, measured oxygenated volatile organic compounds and multifunctional organic nitrates. The observed EFs are compared with previous measurements of temperate …

A Dual-Chamber Method For Quantifying The Effects Of Atmospheric Perturbations On Secondary Organic Aerosol Formation From Biomass Burning Emissions, Daniel S. Tkacik, Ellis S. Robinson, Adam Ahern, Rawad Saleh, Chelsea Stockwell, Patrick Veres, Isobel J. Simpson, Simone Meinardi, Donald R. Blake, Robert J. Yokelson, Albert A. Presto, Ryan C. Sullivan, Neil M. Donahue, Allen L. Robinson

Chemistry and Biochemistry Faculty Publications

Biomass burning (BB) is a major source of atmospheric pollutants. Field and laboratory studies indicate that secondary organic aerosol (SOA) formation from BB emissions is highly variable. We investigated sources of this variability using a novel dual-smog-chamber method that directly compares the SOA formation from the same BB emissions under two different atmospheric conditions. During each experiment, we filled two identical Teflon smog chambers simultaneously with BB emissions from the same fire. We then perturbed the smoke with UV lights, UV lights plus nitrous acid (HONO), or dark ozone in one or both chambers. These perturbations caused SOA formation in …

In Situ Measurements Of Water Uptake By Black Carbon-Containing Aerosol In Wildfire Plumes, Anne E. Perring, Joshua P. Schwarz, Milos Z. Markovic, David W. Fahey, Jose L. Jimenez, Pedro Campuzano-Jost, Brett D. Palm, Armin Wisthaler, Tomas Mikoviny, Glenn Diskin, Glen Sachse, Luke Ziemba, Bruce Anderson, Taylor Shingler, Ewan Crosbie, Armin Sorooshian, Robert Yokelson, Ru Shan Gao

Chemistry and Biochemistry Faculty Publications

Water uptake by black carbon (BC)-containing aerosol was quantified in North American wildfire plumes of varying age (1 to ~40 h old) sampled during the SEAC4RS mission (2013). A Humidified Dual SP2 (HD-SP2) is used to optically size BC-containing particles under dry and humid conditions from which we extract the hygroscopicity parameter, κ, of materials internally mixed with BC. Instrumental variability and the uncertainty of the technique are briefly discussed. An ensemble average κ of 0.04 is found for the set of plumes sampled, consistent with previous estimates of bulk aerosol hygroscopicity from biomass burning sources. The temporal evolution of …

Rational Number Operations On The Number Line, Christopher Yakes

The Mathematics Enthusiast

The Common Core State Standards make clear that teachers should use the number line to represent integer operations in Grades 6, 7 and 8, continuing the development of number line understanding begun in earlier grades. In this paper, we will investigate the basics of the colored chip and number line models for representing integers and their operations. We will then draw connections between the two models. Finally, we will argue that the number line model is an important one that should be taught alongside or in lieu of the chip model in order to deepen students’ understanding operations with integers, …