Digital Commons Network^™

M 121.05: College Algebra With Co-Requisite Support, Sara Nicole Kileen

University of Montana Course Syllabi, 2021-2025

No abstract provided.

M 121.50: College Algebra, Sara Nicole Kileen

University of Montana Course Syllabi, 2021-2025

No abstract provided.

Anty 595.50: Anthropological Statistics, Randall Royce Skelton

University of Montana Course Syllabi, 2021-2025

No abstract provided.

Biom 460.01: Ecology Of Infectious Diseases, Angela Dawn Luis

University of Montana Course Syllabi, 2021-2025

No abstract provided.

Bios 534.01: Integrated Systems Ecology, John S. Kimball

University of Montana Course Syllabi, 2021-2025

No abstract provided.

Nrsm 385.01: Watershecd Hydrology, Kelsey G. Jencso

University of Montana Course Syllabi, 2021-2025

No abstract provided.

Phsx 217n.01: Fundamentals Of Physics With Calculus Ii, David A. Macaluso

University of Montana Course Syllabi, 2021-2025

No abstract provided.

Chapter 3.2: Why Batteries Deliver A Fairly Constant Voltage Until They Suddenly Die: An Application Of Nernst Topo Surfaces, Garon C. Smith, Md Mainul Hossain, Patrick Maccarthy

Water Topos: A 3-D Trend Surface Approach to Viewing and Teaching Aqueous Equilibrium Chemistry

Two characteristics of batteries, their delivery of nearly constant voltage and their rapid failure, are explained through a visual examination of the Nernst equation. Two Galvanic cells are described in detail: (1) a wet cell involving iron and copper salts and (2) a mercury oxide dry cell. A complete description of the wet cell requires a three-dimensional Nernst surface because the potential is a function of two variables: the activities of both the oxidized and reduced forms in each redox couple. Dry cell potentials, which utilize solid or pure liquid species, are functions of only one variable and can be …

Mathematical Learning Difficulties: A Subjective Production, Amanda Marina Andrade Medeiros, Cristiano Alberto Muniz

The Mathematics Enthusiast

It is necessary to expand the analysis about affective processes in mathematic learning in different contexts. In Brazil this research area is still in the embryonic phase, but it is a space that has strong potential to respond the gaps that still exist in the field, leading to the understanding affective processes in mathematic learning. It is in this way that the present research aims to analyze how the mathematic learning difficulty is produced in the subjectivity of a child from the elementary school in Brazil. To understand how the student's development occurs in the school space, and how the …

Mathematics Education In Field Education Contexts, Aldinete Silvino De Lima, Iranete Maria Da Silva Lima, Carlos Eduardo Ferreira Monteiro, Liliane Maria Teixeira Lima De Carvalho

The Mathematics Enthusiast

This article approaches the relationship between mathematics education and field education, based on the academic production of the research group on mathematics education in field education contexts (Gpemce) created in 2008 at the Federal University of Pernambuco. After presenting the repercussions and lines of research of the group, we reflect on the roots and principles of field education and some approximations of this domain with mathematics education. Then, we present a documentary study, whose corpus consists of 20 articles published in journals by researchers from Gpemce from 2009 to 2020. These articles are organised around four thematic categories that are …

The Decolonial Stance In Mathematics Education: Pointing Out Actions For The Construction Of A Political Agenda, Filipe Santos Fernandes, Victor Giraldo, Diego Matos

The Mathematics Enthusiast

In this article, we present a decolonial stance in Mathematics Education, which is not understood as a qualification attributed to particular actions or practices as opposed to others, nor as a tendency that theoretically or methodologically constrains research production, but as a political and epistemic position of permanent transgression and insurgency concerning the patterns of world power established by the myth of Western modernity. From this understanding and towards a political agenda in Mathematics Education, we propose, with no pretensions of totality, a set of situated actions: in Mathematics, in its ontological, epistemological and methodological perspectives, problematizing the naturalization of …

The Search For The Sense Of Agency In Vulnerable Situations In Mathematics Teachers’ Initial Education, Paulo Henrique Rodrigues, Márcia Cristina De Costa Trindade Cyrino, Hélia Margarida Oliveira

The Mathematics Enthusiast

The aim of this study is to analyse the actions of prospective mathematics teachers (PMTs), triggered in preparation for their teaching practicum (TP), to foster their autonomy when seeking their sense of agency in the face of a vulnerability, in the movement to construct their professional identity. To this end, we have carried out a qualitative research about the practicum lesson plans and the simulations of those lessons by PMTs who attended the same class in two disciplines of the Supervised Curricular Teaching Practice, in the last two years of the mathematics teaching degree course of the State University of …

Mathematic E-Textbooks In Different Didactic Configurations, José Wilson Pereira, Verônica Gitirana

The Mathematics Enthusiast

The e-textbook is one of the main resources that distance learning institutions make available in the virtual learning environment (VLE) for teachers and students. According to the Brazilian References for Distance Learning, the authors should follow some methodological, epistemological and political principles for its production: to allow students and teachers (educator and tutor) to construct knowledge through interaction with peers. In this paper we seek to map the enrichment of the content in DE carried out by teachers’ educator, from the use of e-textbook, in the light of the analysis of the teacher’s instrumental orchestrations. The theoretical framework comprised Luc …

Re-Storying Grant Creek: A Case Study Of Relational Dynamics On A Degraded Montana Stream, Seamus Rucci Land

Graduate Student Theses, Dissertations, & Professional Papers

The UN Decade on Ecosystem Restoration began in 2021, and after a history of contentious ethical debates, ecological restoration is increasingly portrayed as a viable framework for combating environmental degradation and supporting more healthy and stable social-ecological systems. The proposed ecological restoration of Grant Creek, a degraded stream near Missoula, Montana, offers an opportunity to connect a restoration site to the broader, rapidly growing field of restoration practice. It also allows the opportunity to forward the ‘relational turn’ proposed by many in the sustainability sciences as an ontological and methodological means to move beyond positivist portrayals of social-ecological systems, which …

The Shape Of Faith: Understanding God Through Pottery, Kenton Ke

Undergraduate Theses, Professional Papers, and Capstone Artifacts

The Bible uses the relationship between a potter and the clay as a metaphor to describe the relationship between God and humans. “Yet you, Lord, are our Father. We are the clay, you are the potter; we are all the work of your hand.” (Isaiah 64:8, NIV). This paper will expand on this metaphor, and draw parallels between the development of personal relationships with God and the complicated processes of pottery making.

Mapping Of Microseismic Aftershock Sequences Following The 2017 Lincoln, Montana M 5.8 Earthquake, Reyer M. Fenoff

Undergraduate Theses, Professional Papers, and Capstone Artifacts

The Rocky Mountains of western Montana have long been experiencing tectonic compression and extension that has shaped much of western North America. This activity consistently produces seismic events, like the 6 July 2017 M 5.8 earthquake 11 km southeast of Lincoln, MT, which can be used to advance understanding of crust and mantle dynamics and structure. Seismic mapping is vital to understanding structure and tectonic activity in western Montana as well as in analogous locations across the world. Recently deployed seismometers from the University of Montana as well as the Montana Regional Seismic Network (MRSN) from the Montana Bureau of …

Guest Editorial: Brazilian Research In Mathematics Education – What’S More?, Jonei Cerqueira Barbosa

The Mathematics Enthusiast

No abstract provided.

A Look At The National Pact For Literacy At The Right Age In The Mathematics Education Context, Carlos Roberto Vianna, Elenilton Vieira Godoy, Emerson Rolkouski

The Mathematics Enthusiast

This article aims to present a public policy of large-scale literacy teachers continued training, the Pacto Nacional pela Alfabetização na Idade Certa (PNAIC), making a summary of the Brazilian dissertations and theses results which approached this public policy in the context of Mathematical Education. Initiated in 2012, the PNAIC involved more than three hundred thousand literacy teachers, from more than five thousand cities for five years. This article uses a qualitative research approach, in the descriptive modality, showing a status of the art of these researches. The set of works analyzed was divided into three groups, according to their …

Moving Parallel And Transversal Lines With Touches On Smartphones: A Look Through Screenrecording, Marcelo Almeida Bairral, Marcos Paulo Henrique, Alexandre Assis

The Mathematics Enthusiast

This article illustrates how videos generated through capturing touches on screens (screenrecording) can assist in analyses related to manipulation and reasoning by primary education learners in solving geometry tasks. We are presenting two protocols as ways to elucidate the use of application AZ Screen Recorder in learning about parallel lines intersected by a transversal line. In the first protocol, the interactions and the ways adopted by the subjects when analyzing the relation between corresponding angles are highlighted. In the second protocol, the relevant aspects are related to the particularities of the atmosphere of dynamic geometry used and the strategies adopted …

A Machine Learning Algorithm Improves Surface Freeze-Thaw Classification, Fredrick Bunt

Graduate Student Theses, Dissertations, & Professional Papers

The frozen or thawed state of the land surface is an important factor affecting a wide range of natural processes such as surface water movement, the carbon cycle, and ecosystem development. It is also important for human endeavors such as permafrost engineering and agricultural planning. This makes having an accurate record important. The Freeze-Thaw (FT) Earth System Data Record (FT-ESDR) is a global, daily product that strives to be a reliable record of the FT ground state. In its current form, the FT-ESDR uses annual regression analysis of reanalysis surface air temperatures (SAT) and brightness temperatures (Tb) at each grid …

The Existential Challenges Of Cyberspace, Sean Cleary

Graduate Student Theses, Dissertations, & Professional Papers

Cyberspace is an emergent environment that has come to facilitate a growing range of human activity. Here, information is tightly woven, freed of unnecessary context and always within reach. This thesis explores the existential challenges that arise from increased engagement in this space and offers solutions informed by Henry Thoreau and Søren Kierkegaard. Section One offers an ontological account of cyberspace and describes its relationship to what I call the lifeworld. Section Two further examines the relationship drawn out in Section One, introduces the challenge of foreground saturation and appeals to Thoreau for solutions. Section Three introduces the concept of …

Causes And Consquences Of Fire In Forest Ecosystems Of The Selway-Bitterroot Wilderness, Melissa Jaffe

Graduate Student Theses, Dissertations, & Professional Papers

No abstract provided.

Linear Programming Analysis And Diet Breadth Modeling At Bridge River, British Columbia, Sean Patrick Boyd

Graduate Student Theses, Dissertations, & Professional Papers

Studies in diet breadth modeling and patch choice have been and continue to be a hot topic of interest among practitioners of human behavioral ecology and the set of data available at Bridge River can certainly add to these debates and discussions that have been dominating anthropology in the past few decades. The faunal assemblage of Housepit 54’s 17 anthropogenic floors have provided researchers with a plethora of data that clearly indicates periods of resource depletion and partial to full site abandonment. Using Linear Programming and Diet Breadth Modelling I analyze the most represented species in the record and establish …

Small Area Estimation Of Postfire Tree Density In The Western United States Using An Annualized Forest Inventory, George Chilton Gaines Iii

Graduate Student Theses, Dissertations, & Professional Papers

Wildfire activity in the western United States is expanding and concern for the declining extent of postfire tree cover in many western forests is mounting. Accurate estimates of postfire seedling, sapling, and large tree density following wildfire are critical for postfire forest management planning and monitoring forest dynamics. National forest inventory programs, such as the US Forest Service Forest Inventory and Analysis (FIA) program, can provide vegetation data for direct spatiotemporal domain estimation of postfire tree density, but sample observations within domains of administrative utility are often few to none. This research investigates indirect domain estimators, which borrow sample data …

Randomly Perturbed Graphs And Rainbow Connectivity, John Arthur Finlay

Graduate Student Theses, Dissertations, & Professional Papers

In this work we explore randomly perturbed graphs; that is, for an arbitrarily dense graph H we add a set R consisting of m edges randomly to create a graph G. We then randomly color the edges of G with r colors. We prove, for r ≥ 5 and m a large enough constant, that between any two vertices in G there exists a rainbow path and thus G is rainbow connected. This result confirms a conjecture of Anastos and Frieze [How many randomly colored edges make a randomly colored dense graph rainbow Hamiltonian or rainbow connected?, J. Graph Theory …

Development Of Nanodisc Affinity Capillary Electrophoresis To Study The Interaction Of Giα Protein With Cell Membranes, Bethany R. Emeigh

Graduate Student Theses, Dissertations, & Professional Papers

Guanine nucleotide-binding proteins, or G-proteins, are crucial to cell signaling by acting as molecular switches through interactions with membrane-bound receptors. G-proteins have become of greater interest due to the possibility of novel drug targets. The G-protein alpha subunit, Gα, binds GTP before localizing to the membrane to interact with other G-protein subunits and G-protein-coupled receptors (GPCRs). Gi lacks a hydrophobic region to promote localization to the membrane, but a co-translational lipidation of the N-terminal residue stabilizes this interaction.

Protein interactions with biological membranes are challenging to study due to the complex structure of membranes and the often-limited quantities of the …

A Tribute In Honor Of Ubiratan D’Ambrósio’S Life And Legacy, Jonei Cerqueira Barbosa

The Mathematics Enthusiast

No abstract provided.

Teacher Education For Integrating Resources In Mathematics Teaching: Contributions From Instrumental Meta-Orchestration, Rosilângela Lucena, Verônica Gitirana, Luc Trouche

The Mathematics Enthusiast

This paper introduces the model of instrumental meta-orchestration (IMO), as an extension of the model of instrumental orchestration. This IMO model is defined as a systematic and intentional monitoring, by a teacher educator, of artefacts and teachers (or pre-service teachers) for facing a Meta-situation, defined as a composition of situations of different natures and difficulty levels. An IMO, in itself, is a composition of instrumental orchestrations (sequenced or interwoven). This paper presents and discusses an instrumental meta-orchestration experienced in a class of undergraduate mathematics teachers. The development of the initial model results in: new concepts, such as ad hoc …

Didactic Engineering (De) And Professional Didactics (Pd): A Proposal For Historical Eesearch In Brazil On Recurring Number Sequences, Francisco Regis Vieira Alves

The Mathematics Enthusiast

The present work presents some examples of data originated from a set of investigations developed in Brazil, at the Federal Institute of Education, Science and Technology of the State of Ceará - IFCE, in the context of teacher education, and the consideration of elements of a historical, mathematical, and evolutionary nature. Thus, from a perspective of theoretical complementarity involving the research elements derived from the notion of the didactic engineering for development and some assumptions of the French aspect of the professional didactics, two sets of data are discussed. The first set involved research carried out between 2017 and 2020. …

It Is Necessary To Know A Specific Mathematics To Teach Mathematics, Jaqueline De Souza Pereira Grilo, Jonei Cerqueira Barbosa

The Mathematics Enthusiast

In this theoretical essay we problematize the statement “To teach mathematics one must know a specific mathematics for teaching” of the discourse of specific mathematical knowledge to teach. The study was inspired by Foucaultian concepts and the analysis focused on studies in the area of Mathematical Education that mobilize discourses regarding Mathematical Knowledge for Teaching, Mathematics Teacher’s Specialized Knowledge and Mathematics for Teaching. The analysis showed that the discourses operate under two truth regimes about the mathematical knowledge needed to teach. Analyzing the enunciative intertwining, we observe an approximation with: i) the educational discourse, which deals with the inseparability between …