Digital Commons Network^™

The Articulation Principle For Making Long-Term Sense Of Mathematical Expressions By How They Are Spoken And Heard: Two Case Studies, Kin Eng Chin, Fui Fong Jiew, David Tall

The Mathematics Enthusiast

The Articulation Principle explains how mathematical expressions can be given a clear and unambiguous meaning by the way in which they are spoken and heard. Leaving short pauses in speech, sub-expressions can be interpreted as operations to be carried out in time or as mental objects that can be manipulated at a more sophisticated level. This offers a fundamental foundation for the growth of meaningful mathematical thinking at all levels from young children to the wide array of adult mathematics. This paper sets the Articulation Principle in a wider long-term learning framework and provides empirical evidence for its use in …

About The Teaching And Learning Of Differentiability For Piecewise Functions In Science Degrees’ First-Year Calculus Courses, Jone Apraiz

The Mathematics Enthusiast

In this work, we present an issue we have observed over the last several years in the first year of Spanish science degrees’ (such as mathematics, physics or engineering) calculus courses. It is related to the study of differentiability of piecewise one real variable real functions at a point. We have analyzed how students study the differentiability of piecewise functions at a point, explaining the students’ work and reasoning and commenting about the common misunderstandings we have found. Then, we have researched about how to help the students in their learning process related to this calculus concept, and we have …

Agency And Criticality In Statistics Teaching Practices: The Account Of A Teacher, Celi Espasandin Lopes, Nathalia Tornisiello Scarlassari

The Mathematics Enthusiast

The objective of this article is to discuss actions of agency by analyzing the practices and conceptions of a mathematics teacher working in the municipal school system of Valinhos, state of São Paulo, while teaching statistics and probability to students in the final years of elementary school. The concept of agency is related to transformative capacity and refers to the power of the individual over the context in which they are inserted. The concept of agency is significant for teacher education and is linked to critical professional development, as criticality is essential for people’s transformation processes. This study adopted principles …

The Man Creates Instruments That Transform Himself: An Overview Of Gere Research Within Mathematics Education, Verônica Gitirana, Rosilângela Lucena, Rogério Ignácio, Roberto Araújo Filho, José Wilson Pereira, César Thiago Da Silva

The Mathematics Enthusiast

This paper discusses GERE (Study Group on Resources for Education) members’ research trajectory in three different lines: Teaching practice and practice management, Teacher education and identity, and Support for learning and resource generation. It discusses how researchers seek to understand technology integration in the practice of distance education in Brazil, with the instrumental orchestrations lens, revealing the changes made in the didactic configurations, from the multiplicity of teachers responsible for each discipline. Teachers’ documentation is discussed in the process of resource elaboration and use and guided by design, experimentation, and reflection of the generated instrument, such as digital textbooks and …

Guest Editorial: Brazilian Research In Mathematics Education – More To Know, Jonei Cerqueira Barbosa

The Mathematics Enthusiast

No abstract provided.

A Methodological Proposal For Textbook Analysis, Marilena Bittar

The Mathematics Enthusiast

Research on textbooks has been carried out in different countries and with different purposes, including a set of studies that seek to know what those books convey in their texts. This type of investigation gives a view of the textbook as something that gives materiality to the proposed curriculum as a way to approach the knowledge taught and/or to identify elements that contribute to understanding reasons for some learning difficulties and persistent errors. Since the early 2000s, I have guided research studies that seeks to understand what kind of mathematics is proposed in textbooks intended for Brazilian basic education and …

Power Relations And The Negotiation Of Meanings In A Community Of Practice In The Field Of Mathematics Education, Lilian Aragão Da Silva, Andréia Maria Pereira De Oliveira

The Mathematics Enthusiast

This article aims to identify and analyze power relations in the negotiation of meanings in a Community of Practice, called the “Observatório da Educação Matemática” da Bahia (OEM-BA), formed by academics from the university and teachers of Basic Education, who came together to produce educational math curriculum materials. The research carried out was of a qualitative nature and the data were produced through observations of the activities carried out by OEM-BA. To support the analysis, we used Etienne Wenger's Social Theory of Learning and Basil Bernstein's Theory of Codes. By analyzing the data, we identify power relations between academic and …

Ethnomathematics Approach As A Tool For Cultural Valuation And Social Representativity: Possibilities In A Quilombola Community In The State Of Amapá - Brazil, Romaro Antonio Silva, Pedro Manuel Baptista Palhares, José Roberto Linhares De Mattos

The Mathematics Enthusiast

In this article, we bring forward a research with ethnomathematical aspects that shows the socio-cultural relations experienced in a quilombola community registered as Santa Luzia do Maruanum, in the rural region of the capital Macapá, in the state of Amapá, Brazil. Such research was based on the activities developed by 12 ceramic craftswomen in the community, members of the Ceramic Craftswomen Association of Maruanum - ALOMA (Associação de Louceiras do Maruanum in portuguese). It was possible, through field research, with a qualitative approach, to understand the social context of ceramic craftswomen, to verify the spoken mathematical knowledge learned …

Exclusion And Inclusion Processes In Mathematics Classrooms: Reflections On Difference, Normality And Cultural Issues Within Three Different Contexts, Thiago Donda Rodrigues, Fernanda Malinosky Coelho Da Rosa, Alan Pereira Manoel

The Mathematics Enthusiast

The Education for All proposal is an international document substantiating some approved national laws aimed at providing high-quality education for all: peasants, quilombolas, indigenous, landless individuals, women, people with disabilities, among others. However, when it comes to inclusion and School Mathematics , regardless of all advances in the Mathematical Education field, this subject remains formally introduced and taught, it still disregards the concept of teaching all, since it is inaccessible to most students. The aim of the current article is to reason on cultural , normality and difference issues, as well as on practices observed in the School Mathematics …

Learning Evaluation In Mathematics Teaching Degree And The Possible Implications For Teacher Training, Niusarte Virginia Pinheiro, Samira Zaidan

The Mathematics Enthusiast

This study aims to analyze the perceptions of undergraduates in Mathematics Teaching on the evaluation practices of their teachers of specific content subjects and the possible implications of this practice in their training as teachers. It is a qualitative research, expositive and explicative, developed in a Mathematics Teaching degree in a Brazilian Federal University. We used random non-probabilistic sample to select the course and the students. To produce the data, we used: documental analysis, class observation, interviews, group talks, and social networks – Facebook and WhatsApp groups, followed by content analysis. The main intervening which emerged from the data were …

Spaces, Movements And Topological Notions, What Do The Babies' Cartographies Show?, Jenny Patricia Acevedo-Rincón, Gabriela Guarneri De Campos Tebet

The Mathematics Enthusiast

In the first months of life, babies develop visual perception. The notions of space evolve in the everyday of experiences, the recognition of the self through your body, and relationships with others. The topological notions developed by babies correspond to closeness, proximity, continuity and separation. As babies grow, their skills are developed both in the projective space and in the geometric space. These even influence the baby's development in an integral way. This article intends to present results of the topological notions of closure, proximity separation and projections in the baby’s space. This qualitative research is developed under a descriptive …

The Anthropological Theory Of The Didactic In Brazilian Researches, Sueli Dos Prazeres Santos, Luiz Marcio Santos Farias

The Mathematics Enthusiast

In the present article, we undertook a systematic study of bibliographic review based on the discussions, in the academic scope, about the contribution of the Anthropological Theory of Didactic – ATD (Chevallard, 1992) linked to Mathematics teaching and learning processes. The purpose was to investigate the current appropriation of ATD in Stricto sensu researches in Brazil. It is worth mentioning that the present study refers to a part of a PhD thesis. Thus, we aim to present an overview of thesis and dissertations answering the following question: "What are the main programs, institutions and researchers in Brazil that have been …

Pre-Service Teachers' Knowledge: Analysis Of Teachers' Education Situation Based On Tpack, Roberto Araújo Filho, Verônica Gitirana

The Mathematics Enthusiast

This paper identifies the knowledge that emerges from collaborative situations, in an initial teachers’ education with integration of digital technology for teaching of function, in a blended and collaborative modality course, aiming to emerge Technological, Pedagogical and Content Knowledge (TPACK) in pre-service teachers. The method comprised the design of a teachers’ collaborative training experiment. The experiment had five phases, from a theoretical discussion to plan an Instrumental Orchestration to teach function with digital resources. Collaboratively, students worked in groups. The participants were students from a Mathematics teachers’ education. The experiment took place in the Teaching Methodology of Mathematics discipline at …

June 2022 News Releases, University Of Montana--Missoula. Office Of University Relations

University of Montana News Releases, 1928, 1956-present

No abstract provided.

America At A Glance: Occupational Injuries Among Rural Workers, Andrew Myers, Arin Leopold, Catherine Ipsen, Bryce Ward, University Of Montana Rural Institute

Employment

RTC:Rural researchers led by Andrew Myers review data from the 2019 American Community Survey to explore differences in occupations and workplace injuries across rural and urban areas.

Cultivating An Active Learning Environment In A Traditional And Community Based Course, Sebastian James Driver Mr.

University of Montana Conference on Undergraduate Research (UMCUR)

Learning Assistants (LAs) are undergraduate students who complete a course and return to assist instructors in creating an active learning environment. From multiple studies, pedological and active learning techniques improve student retention, exam scores, and student participation. During the fall semester of 2021, I was an LA for two introductory courses, Pre-Calculus (M151) and Introduction to Honors (HONR120). In M151, I tested new active learning activities like practice problems, whiteboard activities, and Desmos activities. M151 prepares students for calculus and advanced science courses by building on previous algebraic and geometric theorems to manipulate these processes. M151 is “traditional” because in …

The Global Credit Score Panel, Esther Lyon Delsordo, Cory Emlen, Betta Lyon-Delsordo, Trinity Kurr

University of Montana Conference on Undergraduate Research (UMCUR)

Credit scores are used around the world to measure creditworthiness in lending, but they can also act as barriers to entry into financial systems and as barriers to economic mobility. The purpose of our project is to raise awareness of how credit scores function as these barriers, as well as provide valuable information to help people enact solutions to these problems at a variety of levels.

Our team has put together a series of interviews with credit scoring experts from home and abroad to give their perspectives on the ways credit scores are used and how they affect people’s lives. …

Friends Of The Philip L. Wright Zoological Museum, No. 39, University Of Montana--Missoula. Philip L. Wright Zoological Museum

Philip L. Wright Zoological Museum (UMZM) Newsletters

From the Curator: 2022 Brings Two Major Anniversaries -- Our Students Are Going Places! -- Catching Up with the Wright Children -- Parasites: The Hidden World of Specimens -- Worms on the Web -- Spring 2022 Graslie Curiosity Interns -- Who's in the Museum -- Miscellany

Department Of Mathematical Sciences Newsletter, Spring 2022, University Of Montana--Missoula. Department Of Mathematical Sciences

Newsletters from the Department of Mathematical Sciences at UM

Jack Finlay: a “Mathematical Singularity” / Mark Kayll -- Howard Reinhardt 1927 – 2021: In Memoriam -- Notes from the Chair / John Bardsley -- Statistics Professors Brian Steele & Dave Patterson Retire / Dave Patterson and Jon Graham -- Experiential Learning in Data Science / Emily Stone -- Our Data Science Project Portfolio with Capsource -- Handbook of the Mathematics of the Arts and Sciences -- Dr. Carol Ulsafer 1940-2021 -- Professor Ke Wu featured on the Confluence podcast / Fred Peck -- Honor Roll of Donors -- Degree Recipients 2021-2022 -- Spring 2022 Scholarships & Awards -- Student …

Diffusion Of Soft Immigration Law: Evidence From Asylum Adjudication In The Wake Of Matter Of A-B-, Patrick Kennedy

Montana Law Review

No abstract provided.

Hensley V. Montana State Fund: A Shift In The Grand Bargain Of Workers’ Compensation, Brian Hagan

Montana Law Review

No abstract provided.

April 2022 News Releases, University Of Montana--Missoula. Office Of University Relations

University of Montana News Releases, 1928, 1956-present

No abstract provided.

High Potential Antimicrobial Hit-Rate Of A Natural Product Fragment Reassembly Library, Evelyn Schwartz

UM Graduate Student Research Conference (GradCon)

Introduction of new antibiotics into the market is important and urgent. Over the past decade there have been few novel antibiotics and cases of antimicrobial resistance infections is expected to increase. Most antibiotics have been developed with structure-based drug design of known target mechanisms, or from natural products. The limit of using natural products is that many are already diverse and complex in structure and have limited synthetic flexibility. Fragments of natural products are more synthetically pliable and can be linked together similar to amino acids in peptide synthesis. An in-slica library of natural product fragment reassembly (NPFR) would provide …

Lower Extremity Balance As An Indicator Of Upper Extremity Injury In Baseball Players: A Systematic Review, Isabela Ortman, Lexie Mower, Shane Murphy

UM Graduate Student Research Conference (GradCon)

Lower Extremity Balance as an Indicator of Upper Extremity Injury in Baseball Players: A Systematic Review

Mower L, Ortman I, Murphy S. University of Montana

Purpose: This review will seek to determine if a lack of lower limb balance can be a predisposing factor for elbow injuries in baseball players. Methods: We searched the database Pubmed on October 6th, 2021 using a combination of keywords baseball, "UCL tears", "UCL injur*", "Tommy John", "UCL sprain", "elbow injur*", balance, "lower extremity", "kinetic chain", biomechanics, kinematics and "throwing mechanics". The resulting articles were manually screened for relevance and inclusion/exclusion criteria. Articles were excluded …

Antidepressants Reduce Silica Caused Inflammation In Lung Macrophages, Becky Kendall

UM Graduate Student Research Conference (GradCon)

Chronic respiratory disease remains a leading cause of death around the world, and recent events have only increased respiratory disease concerns. As such, there is a growing need for effective therapeutics to combat these and other chronic diseases. While the discovery and design of new pharmaceuticals can be a lengthy process there is an abundance of FDA approved drugs that can be repurposed for use in other than their originally intended uses. For example, the use of anti-depressants has been proposed as a potential therapy for COVID after a study showed that patients regularly taking anti-depressants had fewer COVID-caused hospitalizations …

Utilizing Vertical Sensors In Collegiate Volleyball Landing Impact Force And Jump Height Analysis, Zebadiah P. Boos

UM Graduate Student Research Conference (GradCon)

Purpose: The goal of the research was to determine if Jump Height (JH) and Landing Impact (LI) were significantly different between countermovement jump (CMJ), drop vertical jump (DVJ), and approach jump (AJ).

Methods: For this study, collegiate female volleyball athletes (n = 16, 19 ± 1 years old, range of 18-22 years old, 1.76 ± 0.17 m, 75.5 ± 8.2 kg, 8 ± 2 years of organized volleyball experience) were asked to perform a drop vertical jump DVJ, CMJ, and approach AJ while wearing an inertial measurement unit (VERT Inc.) to capture JH and LI. No player position (outside hitters …

Genetic And Seasonal Determinants Of Vitamin D Status In Confederated Salish And Kootenai Tribes (Cskt) Participants, Jack W. Staples, Kathleen M. George, Rachel Dalton, Erin E. Ellerbeck, Genevieve Krause, Tianna Lietch, Theresa Aliwarga, Matthew G. Mcdonald, Brian Phillips, Leeanna I. Muzquiz, Deborah A. Nickerson, Timothy A. Thornton, Kenneth E. Thummel, Erica L. Woodahl

UM Graduate Student Research Conference (GradCon)

Background: Vitamin D is a hormone produced in the skin upon ultraviolet B (UVB) radiation. Vitamin D is a crucial regulator of calcium and phosphate levels for bone mineralization and other physiological roles. Vitamin D levels vary globally in human populations due to genetics, geography, and other demographic factors. It is estimated that 20-85 % of the variability in vitamin D levels is driven by genetic variation. To improve our understanding of contributors to vitamin D levels, we conducted a candidate-gene study in partnership with the Confederated Salish and Kootenai Tribes (CSKT).

Methods: We recruited 472 CSKT study participants on …

Tracking Changes In Groundwater Storage From Gnss Geodesy In The Great Lakes Region, Baleigh A. Doyle

UM Graduate Student Research Conference (GradCon)

The Great Lakes (Superior, Huron, Ontario, Michigan, and Erie) make up for one-fifth of the freshwater surface area on the Earth (NOAA, 2021). Displacements of the Earth’s surface are caused by quasi-static loads at or near the surface, including surface water, soil moisture and groundwater, and can be predicted by evaluating a convolution integral over the loaded region. In this study, we aim to infer changes in groundwater storage in the Great Lakes region of the central U.S. at sub-monthly time scales. Global Navigation Satellite System (GNSS) data from the Network of the Americas (NOTA; previously known as PBO) are …

Nurses’ Practices, Attitudes, And Beliefs Regarding Human Papillomavirus (Hpv) Vaccine: A Cross-Sectional State-Wide Survey Of Montana Nurses, Juthika J. Thaker

UM Graduate Student Research Conference (GradCon)

Background: Human papillomavirus (HPV) infection, with 13 million new infections emerging every year, is the most common sexually transmitted infection in the US. About 10% of these infections persists, progressing to cause cancers. In previous research conducted in Montana, physicians and public health stakeholders identified greater parental/patient informational needs and limited time for vaccine discussions as barriers to HPV vaccination. Non-physician health care personnel, like nurses and medical assistants, could help bridge this gap and serve as vaccine champions. So far, majority of the studies focused on vaccine confidence among providers have primarily focused on physicians. Through this project …

Effects Of Concussions On Balance: A Systematic Review, Jason R. Nielsen, Shane Murphy

UM Graduate Student Research Conference (GradCon)

Purpose: Concussions can cause many disturbances and or issues to the body whether it be mental or physical. Therefore, the purpose of this review is to identify how balance can be disturbed during and throughout rehabilitation with people suffering from concussions via center of pressure measurements. Methods: Only one database was used in searching for articles related to this topic, which was PubMed published from 2013 to present. For studies to be eligible they were peer reviewed research on the use of center of pressure to measure differences in balance measurements between concussed and non-concussed. No restrictions for age, ethnicity, …