Digital Commons Network^™

Subtraction Involving Negative Numbers: Connecting To Whole Number Reasoning, Laura Bofferding, Nicole Wessman-Enzinger

The Mathematics Enthusiast

In this article, we explore how students attempt to bridge from their whole number reasoning to integer reasoning as they solve subtraction problems involving negative numbers. Based on interviews with students ranging from first graders to preservice teachers, we identify two overarching strategies: making connections to known problem types and leveraging conceptions of subtraction. Their initial connections suggest that rather than identifying the best instructional models to teach integer concepts, we should focus on identifying integer instructional models that build on the potentially productive connections that students’ already make; we propose an example of one such form of instruction.

Students’ Reactions To Reform Mathematics Pedagogy In A Postsecondary Remedial Mathematics Course, Luke Smith, W. Gary Martin, Anna Wan, Gilbert Duenas

The Mathematics Enthusiast

The students in this study were enrolled in a remedial mathematics course at a small 4-year university and were taught according to the reform pedagogical principles advocated by NCTM, AMATYC, and MAA. Since most of the students had not been previously exposed to these teaching methods, this study obtained students’ reactions (n = 22) to the course through an anonymous, free-response (not multiple choice) survey at the end of the course. Surveys from students in two equivalent “traditional” lecture courses (n = 44) were also analyzed and served as a baseline by which to gauge students’ responses from the reform …

On Mathematics With Distinction, A Learner-Centered Conceptualization Of Challenge And Choice-Based Pedagogies, Boris Koichu

The Mathematics Enthusiast

The main argument of this article is that “challenging mathematics for all” can be more than just a nice slogan, on condition that all students are empowered to make informed choices of: a challenge to be dealt with, a way of dealing with the challenge, a mode of interaction, an extent of collaboration, and an agent to learn from. Pedagogies supporting such choices are called choice-based pedagogies. The article begins from a theoretical discussion of the relationships between the notions ‘mathematics with distinction,’ ‘giftedness’, ‘challenge’ and ‘choice’. As a result, the learner-centered conceptualization of mathematical challenge is proposed. Then two …

A 21st Century Economic, Educational And Ethical Mathematics Curriculum Policy, Glen S. Aikenhead

The Mathematics Enthusiast

Reformulating a mathematics curriculum is a political act, contextualized by economic, educational and ethical considerations, among others. This article represents a political rendition of a rationale to update the Saskatchewan, Canada, curriculum so it harmonizes with a cultural understanding of school mathematics (Ernest, 1988). By revisiting the 19th century definition of school mathematics that we generally follow today, its economic, educational and ethical consequences seem contrary to the expectations of 21st century Saskatchewan.The article’s point form organization, uninterrupted by the appearance of references, conforms to the genre of submissions to government committees. However, footnotes will clarify information for readers unfamiliar …

2017-2018 Course Catalog, University Of Montana--Missoula. Office Of The Registrar

University of Montana Course Catalogs, 1895-2024

An annual catalog of courses and course descriptions offered at the University of Montana.

Everythingsfine, Reanna Schultz

Graduate Student Theses, Dissertations, & Professional Papers

Disarming discomfort through irony, material, and absurdity is at the center of my practice. I chose to describe my efforts of coping through installation instead of objects because I desire to create an immersive experience for viewers. Using a broadly recognized metaphor as weather allows me to reveal the silent yet ubiquitous nature that so many who suffer from anxiety and depression try to conceal. Depression often coexists with anxiety and both share the ability to alter one's perception of reality. The light bulb cloud installation includes hundreds of burnt-out incandescent bulbs to evoke the accumulation of listlessness, emptiness, and …

Using Thermal Infrared Imagery To Estimate Soil Hydraulic Parameters: A Novel Approach, Matthew B. Thomas

Undergraduate Theses, Professional Papers, and Capstone Artifacts

In this study, skin temperature measured with a thermal infrared (TIR) camera was used to estimate soil hydraulic parameters. These physical properties that control how soils transport and retain water are notoriously difficult to measure in the field due to spatial variability. Laboratory experiments were set up to record surface skin temperature response in a clean soil column using a TIR camera after an artificial wetting event. An array of thermocouples, a net radiometer, heat flux sensor and weather station were used to constrain the TIR data and the energy budget during the experiment. The soil column surface was then …

A Collective Case Study On Vocabulary Instruction In Fifth Grade Classrooms, Farrukh Nazir

Graduate Student Theses, Dissertations, & Professional Papers

In this qualitative research study, I investigated how vocabulary instruction takes place in two fifth-grade classrooms from both teachers’ and students’ perspectives. Vocabulary knowledge holds key importance in learning to read, academic success in all school subjects, and achievement in life beyond school (Graves, 2016. p.2). Due to the importance of vocabulary, Common Core State Standards (CCSS) also put an increased focus on the process of vocabulary acquisition. Recent vocabulary research has found that vocabulary instruction in classrooms is weak, thin, and not research-based (Carlisle, Kelcey & Berebitsky, 2013; Graves, 2016; Wright & Neuman, 2014). To investigate vocabulary instruction the …

The Relationship Of Reading Self-Efficacy And Reading Achievement In Second Grade Students, Jennifer L. Hager

Graduate Student Theses, Dissertations, & Professional Papers

Academic self-efficacy has been positively related to academic achievement in previous studies with middle school, high school, and undergraduate students. This small-scale study investigated the relationship between student reading self-efficacy and student reading achievement with second grade students in central Montana. Participating students completed a Reading Self-Efficacy Questionnaire and benchmark assessments for reading. The 2011 Dibels Next Reading End of Year Benchmark test was used to measure fluency and the Northwest Evaluation Association Measures of Academic Progress (MAP) Reading for Primary grades test was used to measure the related reading skills of language and writing, foundational skills, literature and information …

Comparing Changes In Fuel Loading, Tree Regeneration, And Forest Structure In Once- And Twice-Burned Mixed-Conifer Forests With A Before-After-Control-Impact Case Study In The Bob Marshall Wilderness, Wyatt W. Trull

Undergraduate Theses, Professional Papers, and Capstone Artifacts

Wildfires drive landscape character in the seasonally dry mixed-conifer forests of western North America. Forested landscapes in this region are a mosaic of overlapping burn perimeters, which span a wide gradient of severity and burn age. The goal of this study was to compare the effects of single and repeat wildfires on fuel loading and forest structure and composition. Our study site spans the east and west sides of the South Fork of Flathead River in the Bob Marshall Wilderness. The east side of the river burned in 2000 in the Helen Creek Fire. The west side of the river …

The Development Of Feminism In China, Augustine Menke

Undergraduate Theses, Professional Papers, and Capstone Artifacts

No abstract available.

The Ecology And Evolution Of Avian Alarm Call Signaling Systems, Alexis Chandon Billings

Graduate Student Theses, Dissertations, & Professional Papers

Communication is often set up as a simple dyadic exchange between one sender and one receiver. However, in reality, signaling systems have evolved and are used with many forms and types of information bombarding multiple senders, who in turn send multiple signals of different modalities, through various environmental spaces, finally reaching multiple receivers. In order to understand both the ecology and evolution of a signaling system, we must examine all the facets of the signaling system.

My dissertation focused on the alarm call signaling system in birds. Alarm calls are acoustic signals given in response to danger or predators. My …

A Comprehensive Case Report Of The University Of Montana Case 37, Cody M. Lawson

Graduate Student Theses, Dissertations, & Professional Papers

In this professional paper I examine the human skeletal remains of one individual. The remains were analyzed to gain insight into the age, sex, ancestry, stature, weight, pathology, and trauma of the individual. Forensic anthropological methods were applied to UMFC 37. The remains of UMFC 37 represent a male, between the age of 40 and 60. He is likely a Caucasian. UMFC 37 is between 5 feet 6 inches and 5 feet 10 inches tall and weighs between 148 and 167 pounds.

Structural Analysis Of A Triangle Zone Culmination, Comb Rock, Lewis And Clark County, Montana, Shane S. Fussell

Graduate Student Theses, Dissertations, & Professional Papers

A triangle zone is a structure commonly found at the leading edge of a thrust belt, characterized by a triangular cross-section of thrust faults. In the Montana triangle zone, west-dipping thrust faults intersect east-dipping ones above a regional detachment fault. Most studies of triangle zones focus on the structure in a cross-sectional sense, but little work addresses variations along the trend. The Canadian Rocky Mountain triangle zone has long been a productive petroleum province, so understanding the southern extent of this zone, where it enters Montana, is of interest for economic purposes as well as geologic understanding. Previous studies have …

K-Mer Analysis Pipeline For Classification Of Dna Sequences From Metagenomic Samples, Russell Kaehler

Graduate Student Theses, Dissertations, & Professional Papers

Biological sequence datasets are increasing at a prodigious rate. The volume of data in these datasets surpasses what is observed in many other fields of science. New developments wherein metagenomic DNA from complex bacterial communities is recovered and sequenced are producing a new kind of data known as metagenomic data, which is comprised of DNA fragments from many genomes. Developing a utility to analyze such metagenomic data and predict the sample class from which it originated has many possible implications for ecological and medical applications. Within this document is a description of a series of analytical techniques used to process …

Epistemically Detrimental Dissent In Climate Science, Iheanyi Amadi

Graduate Student Theses, Dissertations, & Professional Papers

Dissent, criticism and controversy are integral to scientific practice, especially when we consider science as a communal enterprise. However, not every form of dissent is acceptable in science. The aim of this paper is to characterize what constitutes the kind of dissent that impedes the growth of knowledge, in other words epistemically detrimental dissent (EDD), and apply that analysis to climate science. I argue that the intrusion of non-epistemic considerations is inescapable in climate science and other policy-relevant sciences. As such there is the need to look beyond the presence of non-epistemic factors (such as non-epistemic risks and economic interests) …

Stream Restoration Effects On Hydraulic Exchange, Storage And Alluvial Aquifer Discharge, Christine M. Brissette

Graduate Student Theses, Dissertations, & Professional Papers

Stream restoration is increasingly being considered as a climate change mitigation tool, altering the storage and exchange capacities of streams and their adjacent alluvial aquifers. While previous research has shown that added geomorphic complexity and increased width-to-depth ratios can enhance hydraulic exchange and alluvial aquifer storage, few studies have used field data to link these changes in form to baseflow generation. In this paper, we quantify the effect of stream restoration on nested scales of hydraulic exchange and temporal patterns of alluvial aquifer recharge and discharge. Our work compares a restored and degraded reach on Ninemile Creek, Montana following extensive …

Fertility And Reproduction's Niche: Human Sexual Diversity, Samuel W. Austin

Graduate Student Theses, Dissertations, & Professional Papers

Abstract: Biologically exploring the origins and forms of human sexuality is of paramount importance. Scientific research has indicated that homosexuality was linked to reproduction, fertility, and adaptive child caring strategies, traits that seem to display cross-cultural similarities. This suggests that sexual diversity may be one of human’s earliest adaptations. While most of the previous research has been on individuals of European descent, little research on Native American populations has been completed to test whether these patterns continue in their population.

The research presented here tests the Sexually Antagonistic Hypothesis for Male Homosexuality, Fraternal Birth Order Effect, and childhood atypical gender …

Does Timing Of Herbicide Use Influence Rates Of Germination Or Seedling Biomass Of Native Plants Used For Restoration?, Christine Mcmanamen

Graduate Student Theses, Dissertations, & Professional Papers

Invasive plants can negatively impact native grasslands by changing their species composition, productivity, and function. Managers commonly use herbicides as a control method; however, this practice can lead to secondary invasion by other non-native invasive plants, unless measures are taken to promote natives. Because of this, managers often seed native plants after spraying herbicides. There is evidence, however, that chemical control of invasive plants may reduce the effectiveness of subsequent seed-addition treatments, but there is currently little quantitative information on optimal timing between spraying and seeding or on variation in herbicide sensitivity among native plants commonly used in seed mixes. …

The Influence Of Tree Height On Lidar’S Ability To Accurately Characterize Forest Structure And Spatial Pattern Across Reference Landscapes, Haley L. Wiggins

Graduate Student Theses, Dissertations, & Professional Papers

Successful restoration of degraded forest landscapes requires reference models that adequately capture structural heterogeneity at multiple spatial scales. Field-based methods for assessing variation in forest structure are costly and inherently suffer from limited replication and spatial coverage. LiDAR is a more cost-effective approach for generating landscape-scale data, but it has a limited ability to detect understory trees. Increased understanding of appropriate height cut-offs for trees to be reliably included in LiDAR-based analysis could improve applications of LiDAR to assessments of landscape-scale forest structure. Toward that end, I investigated the effect of varying tree-height criterion (minimum height cutoffs of 6, 9, …

A Miniaturized Spectrophotometric In Situ Ph Sensor For Seawater, Reuben C. Darlington

Graduate Student Theses, Dissertations, & Professional Papers

Since the Industrial Revolution, the world's oceans have absorbed increasing amounts of CO2 and the resultant changes to the marine carbonate chemical system have reduced the pH by > 0.1 units (~ 30%) in surface waters. This acidification of the oceans has many far reaching impacts on marine life and there is great need of quality instrumentation to assess and follow the changing carbonate system. This MIS project aims to develop a low cost pH sensor with high precision and accuracy for open sea measurements with special emphasis on reduced size and cost. Design effort is based on the commercially available …

Neon Is Trying To Tell You Something, Grace Arenas

Graduate Student Theses, Dissertations, & Professional Papers

The following is the manuscript of my poetry collection, “Neon is Trying to Tell You Something.” This manuscript represents my development of poetic voice and style over the course of the past two years. In these poems, images accrue and take on new meaning, while still retaining echoes of their original connotations. This is how the speaker’s mind makes sense of things: evolutionarily. As a collection, these poems do not attempt to world-build or use their foreign landscapes as the driving force of symbol, but rather they use these landscapes as the essential terminology for their logic puzzles, their syllogistic …

Lateral Heterogeneity And Architectural Analysis Of The Wall Creek Member Of The Upper Cretaceous (Turonian) Frontier Formation, John Zupanic

Graduate Student Theses, Dissertations, & Professional Papers

The Upper Turonian Wall Creek Member (WCM) of the Frontier Formation is part of a series of marine sandstones that were deposited on the western flank of the Cretaceous Western Interior Seaway (KWIS). The KWIS was a low accommodation shallow-marine foreland basin system that included many large deltaic complexes on its western margin. Deposition of WCM deltaic deposits was strongly influenced by fourthorder glacioeustatic cycles, oceanographic circulation patterns, and tectonics related to the active Sevier fold and thrust belt to the west. An in-depth field study of the WCM was performed on the western flank of the Powder River Basin …

Starting World Languages In Elementary Schools, Seth A. Barnes-Smith

Graduate Student Theses, Dissertations, & Professional Papers

This study addresses the position in which elementary school teachers find themselves when they recognize the benefits of bilingualism but are limited in being able to provide second language (L2) instruction. It seeks to answer the following questions: How many elementary school teachers in Montana have added a L2 component to their instruction? How likely are those teachers to turn to the Internet for materials and resources in order to add a L2 component to their instruction? What do elementary school teachers expect from those online materials? What L2 materials are available online and how can they be used? What …

High-Resolution Mapping Of Hierarchical Greater Sage-Grouse Nesting Habitat: A Grain-Spectrum Approach In Northwestern Wyoming, Robert T. Haynam Iii

Graduate Student Theses, Dissertations, & Professional Papers

Our overall objective was to create a probabilistic nesting-habitat map for the Jackson Hole sage-grouse population that would have utility as a tool for future research, conservation, and management. The models that we developed for this purpose were specified to evaluate whether sage-grouse may be selecting nesting-habitat characteristics simultaneously at various spatial scales. Our spatially-explicit landscape-scale research was implemented primarily with readily available National Agriculture Imagery Program (NAIP) data. All nesting data was collected from 2007-2010. We tested how a broad range of grain sizes (spatial resolution) of covariate values affected the fit to logistic regression models used to estimate …

Dispersal, Genetic Structure, Network Connectivity And Conservation Of An At-Risk, Large-Landscape Species, Todd Bartholomew Cross

Graduate Student Theses, Dissertations, & Professional Papers

Wide-ranging species face many threats to genetic connectivity. In light of these threats, one major challenge is the efficient use of scarce resources for the conservation of these species. Setting conservation priorities for landscapes and connectivity can be informed using molecular genetics, and can ensure the efficient use of scare resources to maximize returns in biodiversity conservation.

The greater sage-grouse (Centrocercus urophasianus; hereafter sage grouse) is a species of conservation concern that spans eleven state boundaries, land managed by multiple agencies, and one international boundary. Across the species’ distribution, the threats to the genetic connectivity range from agricultural conversion to …

Ponderosa Pine Responses To Biochar, Fertilizer, Or Mastication On The Bitterroot National Forest, Usa, Haley C. Anderson

Graduate Student Theses, Dissertations, & Professional Papers

Management and restoration practices in even-age ponderosa pine (Pinus ponderosa Lawson & C. Lawson) stands in the Intermountain West can be improved by developing a more thorough understanding of the effects of soil amendment treatments on tree growth and soil properties. Biochar is a charcoal- soil amendment that is created by burning woody biomass in an environment with limited oxygen through a process known as pyrolysis. Biochar has been recommended as a soil amendment for a number of reasons; including increased water and nutrient retention, and building soil aggregates. However, the effects of biochar on temperate forest soils and …

Are Maximum Ground Forces And Leg Compression In Phase? A Test Of The Classical Spring Mass Model Of Running Gaits, Seth Donahue

Graduate Student Theses, Dissertations, & Professional Papers

The mechanical understanding of human running has classically been described as a spring-mass system, with subsequent models predicting the movements of the body’s center of mass and the forces applied by the leg against the ground. A central requirement of any spring system is the phasic relationship between the length of the elastic elements and the forces applied to these structures. Specifically, elastic elements compress under load and extend as the load is released. We tested whether this model applies to individuals with specialization for extreme performance in human gait. Recent work from elite level sprint runners suggest that their …

Xic Clustering By Baseyian Network, Kyle J. Handy

Graduate Student Theses, Dissertations, & Professional Papers

No abstract provided.

Baccalaureate Time-To-Degree For Montana University System Two-Year College Transfer Students, Thomas Patrick Gallagher

Graduate Student Theses, Dissertations, & Professional Papers

Two-year college transfer education has been promoted as a cost-effective path for achieving the baccalaureate, but increased time-to-degree could nullify this assumption. The Montana University System (MUS) recently expanded the mission for its two-year college system by adding the transfer function.

This non-experimental quantitative research study examined whether a difference existed in baccalaureate time-to-degree for transfer students from MUS two-year colleges. Three years of MUS graduate data (2014 – 2016) was examined in comparing baccalaureate time-to-degree of non-transfer students (n = 5,953) with transfer students (n = 730). Credit accumulation, GPA, associate degree completion, nontraditional student status, and two-year college …