Digital Commons Network^™

Letter To The Reader

Public Land & Resources Law Review

No abstract provided.

Table Of Contents

Public Land & Resources Law Review

No abstract provided.

Editors And Staff Members

Public Land & Resources Law Review

No abstract provided.

The Supreme Court's Draft Abortion Decision Overturning Roe V. Wade: How Originalism's Rejection Of Family Formation Rights Undermines The Court's Legitimacy And Destabilizes A Functioning Federal Government, Kari Hong

Montana Law Review Online

No abstract provided.

Documents From The June 8, 2022 Meeting Of The University Of Montana Staff Senate, University Of Montana -- Missoula. Staff Senate

University of Montana Staff Senate Meeting Minutes

Agenda and meeting minutes from the June 8, 2022, meeting of the University of
Montana Staff Senate.

Key business included 2022-2023 new Senators, Executive Office Elections, and a recap of the Board of Regents meeting.

Semiosis To Communicate Mathematics: Complementarity In The Circularity Of Interpretations In Mathematics For The Development Of Creativity, Lúcia Cristina Silveira Monteiro

The Mathematics Enthusiast

Mathematics is a dynamic field of knowledge of human creation and invention that is in continuous expansion. However, the mathematics is presented as a ready and finished field of knowledge in school systems, and there is no concern with the development of cognitive processes other than memorization and symbolic manipulation, therefore, there is no concern with stimulating the development of cognitive processes such as creativity, present in the development of mathematics. On the other hand, the concepts of scientifical mathematics as infinite and infinitely small that are related to the understanding of the dynamics present in phenomena, do not have …

Investigating Preservice Mathematics Teachers’ Definitions, Formulas, And Graphs Of Directly And Inversely Proportional Relationships, Muhammet Arican, Yasemin Kiymaz

The Mathematics Enthusiast

This study investigates 48 preservice middle school teachers’ formal textbook definitions, formulas, and graphs of the directly and inversely proportional relationships. The connections among these three types of representations and how preservice teachers’ representations differ according to the two relationships are also examined. The data of the study included the preservice teachers’ responses to a paper-and-pencil test with two items. An explanatory research design model was followed when developing this study. The study findings indicated the preservice teachers’ over-attention to the simultaneous increases and/or decreases when representing the directly and inversely proportional relationships. Only four preservice teachers stated in their …

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 …

Biob 160n.01: Principles Of Living Systems, Katie M. Holick

University of Montana Course Syllabi

No abstract provided.

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 …

Biom 360.01: General Microbiology, James David Driver

University of Montana Course Syllabi

No abstract provided.

Biob 260.01: Cellular And Molecular Biology, Katie M. Holick

University of Montana Course Syllabi

No abstract provided.

Biob 161n.01: Principles Of Living Systems Laboratory - Remote Delivery, Katie M. Holick

University of Montana Course Syllabi

No abstract provided.

Biob 101n.50: Discover Biology - Online, Andrea T. Green

University of Montana Course Syllabi

No abstract provided.

Biom 250n.01: Microbilogy For The Health Sciences, James David Driver

University of Montana Course Syllabi

No abstract provided.

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 …

Edld 567.50: K-12 Leadership, William P. Mccaw

University of Montana Course Syllabi, 2021-2025

No abstract provided.

Edld 620.50: Qualitative Research, William P. Mccaw

University of Montana Course Syllabi, 2021-2025

No abstract provided.

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

University of Montana News Releases, 1928, 1956-present

No abstract provided.

Coun 575.01: Multicultural Counseling, Emily K. Sallee

University of Montana Course Syllabi, 2021-2025

No abstract provided.