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Articles 1 - 30 of 25451
Full-Text Articles in Entire DC Network
Co-Creation Of Classroom Language: Supporting Learners To Develop Expressions Of Uncertainty And Statistical Concepts, Jioo Nimkar, Nayanatara Ruth Gautham
Co-Creation Of Classroom Language: Supporting Learners To Develop Expressions Of Uncertainty And Statistical Concepts, Jioo Nimkar, Nayanatara Ruth Gautham
The Mathematics Enthusiast
This qualitative study explored how Grade 4 students and the researcher co-created language to express statistical concepts in a multilingual Indian classroom during a week-long instructional sequence. The analysis draws on a situated socio-cultural perspective on language in mathematics. Students’ language progressed from simple claims to more refined and sophisticated expressions, enabling them to discuss central tendencies and distributions while acknowledging uncertainty. Co-created phrases such as āsapās reshā (the nearby line) not only supported communication but also deepened reasoning. The article also discusses what role scaffolding played in refining these informal resources.
Multimodal Interpretation Of Notation, Dave Hewitt, Jenni Ingram
Multimodal Interpretation Of Notation, Dave Hewitt, Jenni Ingram
The Mathematics Enthusiast
Challenges related to the teaching and learning of formal notation in school mathematics are widely documented, and specifically in relation to the underlying mathematical structures that the notation is intended to convey. In this article, we draw on embodied cognition to examine the interactions among three students working with the software Grid Algebra. Embodied cognition emphasises the role of gesture and movement in learning and understanding mathematics. Grid Algebra uses movement to direct students’ attention to mathematical operations on numbers and numerical expressions within the grid and the structure of these operations, while the software takes care of the …
Linguistic And Conceptual Transfer: Crosslinguistic Translanguaging In The English-French Bilingual Mathematics Classroom In The Uk, Jo Skelton, Jane Spiro
Linguistic And Conceptual Transfer: Crosslinguistic Translanguaging In The English-French Bilingual Mathematics Classroom In The Uk, Jo Skelton, Jane Spiro
The Mathematics Enthusiast
This paper presents the findings of a study, conducted as part of a PhD thesis, exploring ways in which translanguaging can be used to support the development of conceptual understanding of division. The study focused on 18 8-9-year-old pupils learning mathematics through the instructional languages of English and French in an ‘immersion-style’ bilingual education context in England. The data was collected from four consecutive mathematics lessons focusing on division, the first two taught through English by a monolingual English teacher and the second two taught in French by a bilingual French teacher. Both teachers were interviewed directly following their second …
Pre-Service Teachers’ Noticing Of The Function Of Mathematical Naming In The Teaching Of Fractions, Juan Manuel González-Forte, Núria Planas
Pre-Service Teachers’ Noticing Of The Function Of Mathematical Naming In The Teaching Of Fractions, Juan Manuel González-Forte, Núria Planas
The Mathematics Enthusiast
In this paper, we present the rationale and results of a study conducted with 79 pre-service primary-school teachers on their sensitivities to notice the pedagogic function of naming practices in the language of teaching fractions. Our results are a contribution to noticing research on mathematics teacher education and language. Although participants were not familiar with discussions of the language of teaching mathematics in general and the language of teaching fractions in particular, they engaged in an intervention with a professional task that provided opportunities to notice potential relationships between mathematical naming and the conceptual understanding of fractions. The written answers …
From Words To Worlds: Concluding Reflections And Emerging Directions, Jenni Ingram, Núria Planas, David Pimm
From Words To Worlds: Concluding Reflections And Emerging Directions, Jenni Ingram, Núria Planas, David Pimm
The Mathematics Enthusiast
In concluding the second series of eight articles in the double special issue on ‘Engaging with communication and language in relation to mathematics and its education’, we take the opportunity to reflect across the articles to prompt us all to consider potential and emerging directions for future research. This final article is overall a commentary inspired by the communication-centred and language-centred contributions to mathematics education across the entire collection of articles, that is, all those comments that situate mathematics and its education as language and communication praxis. We explore this relationship between mathematics and its education with communication and language …
An Analysis Of The Pedagogical Price Of Mathematical Tricks: The Case Of Factoring, John Beam, Jason Belnap, Eric Kuennen, Amy Parrott, Jennifer E. Szydlik
An Analysis Of The Pedagogical Price Of Mathematical Tricks: The Case Of Factoring, John Beam, Jason Belnap, Eric Kuennen, Amy Parrott, Jennifer E. Szydlik
The Mathematics Enthusiast
Students are exposed to a variety of mathematical tricks that ostensibly make it easier for them to solve problems. But tricks also undermine their understanding that mathematics is supposed to make sense; they rob students of opportunities to explore and struggle with ideas; and they obscure mathematical structure.
Affordances For Graphical Shape Thinking Through Vivid Informal Classroom Talk, Elizabeth Kimber, Cathy Smith
Affordances For Graphical Shape Thinking Through Vivid Informal Classroom Talk, Elizabeth Kimber, Cathy Smith
The Mathematics Enthusiast
The shape of a graph arising from the covariation of variables is a crucial idea in reasoning about functions and graphs. Students’ perspectives on graph shape may foreground visual features and consider the shape to be a fixed property of the function (static graphical shape thinking). In contrast, students can perceive the graph as a trace of covarying quantities, through which its shape arises (emergent graphical shape thinking). It is of interest to understand how these perspectives are supported and promoted by teachers in classroom discourse. We present findings from a study of classroom discourse in which we used systemic …
From Uncertainty To Dialogue: Visualising Collaborative Noticing And Mathematical Intuitions In Students' Narratives Within Probability Learning, Daniela Diaz-Rojas
From Uncertainty To Dialogue: Visualising Collaborative Noticing And Mathematical Intuitions In Students' Narratives Within Probability Learning, Daniela Diaz-Rojas
The Mathematics Enthusiast
This study explores the critical role of language and communication in fostering collaborative noticing practices that display mathematical intuitions within probability learning. Through an analysis of student interactions, I show how the joint articulation of ideas and the exploration of shared doubt enable intuition, often perceived as an object that is held and a solitary experience, to become a socially shared and co-constructed process. The observed collaborative dialogue concerns shared content and form, constructing a joint narrative architecture that enables common understanding and allows the group to notice, examine, and reshape their intuitions. Collaborative noticing when working with probability problems …
Teachers’ Knowledge And Use Of Mathematics Register For Teaching And Communication, Pauline Tiong, Sheena Tan
Teachers’ Knowledge And Use Of Mathematics Register For Teaching And Communication, Pauline Tiong, Sheena Tan
The Mathematics Enthusiast
Research has progressively considered a resource-oriented rather than a deficit-based approach towards understanding the role of language in helping students learn mathematical concepts. Notably, there has been a call for greater attention to the notion of mathematics teaching talk, which focuses on teachers’ use of language as a resource to teach mathematics (and the language of mathematics). It is argued that mathematics teaching talk plays an important role in enabling teachers to communicate mathematical ideas or meanings of mathematical concepts and in turn, preparing students to participate better in mathematical discourse practices. Specifically, this paper seeks to exemplify what teachers …
Affectivity As A Form Of Communication During Interactions Between Parent, Child, And Touchcounts, Qiang Lin
Affectivity As A Form Of Communication During Interactions Between Parent, Child, And Touchcounts, Qiang Lin
The Mathematics Enthusiast
This qualitative study examines communication in family mathematics settings, focusing on how embodied communication is constituted during parent–child interaction with a multitouch technology application, TouchCounts. Moving beyond information–transmission perspectives, the study adopts an embodied and relational approach centered on affectivity—conceptualized as the circulation of attunement, resonance, and intensity of movement and feeling across human and non-human components of the parent–child–TouchCounts assemblage. Drawing on close qualitative analysis of two selected video-recorded excerpts, the study traces how mathematical events unfold moment by moment through bodily action and material engagement, and how affective flow shapes how participants respond to one …
Book Review: Irrationality, Transcendence And The Circle-Squaring Problem: An Annotated Translation Of J. H. Lambert’S Vorläufige Kenntnisse And Mémoire (2nd Ed.), Bharath Sriraman
Book Review: Irrationality, Transcendence And The Circle-Squaring Problem: An Annotated Translation Of J. H. Lambert’S Vorläufige Kenntnisse And Mémoire (2nd Ed.), Bharath Sriraman
The Mathematics Enthusiast
This review examines Irrationality, Transcendence and the Circle-Squaring Problem (2nd ed., 2024) by Eduardo Dorrego López and Elías Fuentes Guillén, offering the first complete annotated English translations of Johann Heinrich Lambert’s two foundational texts on the irrationality of π: the semi-popular Vorläufige Kenntnisse (1766/1770) and the rigorous Mémoire (1761/1768). The review situates these translations within Lambert’s remarkable and largely underappreciated life—a self-taught polymath who rose from a tailor’s workshop in Mulhouse to the Berlin Academy of Sciences—and gives careful attention to the proof of irrationality of π via continued fractions, placing it in dialogue with the Niven–Hermite integral approach, the …
Bee Positive Missoula, Sophia Mahoney, Mckenna Hill, Olivia Cornwell, Lucas Hardoerfer, Brandon Quamme
Bee Positive Missoula, Sophia Mahoney, Mckenna Hill, Olivia Cornwell, Lucas Hardoerfer, Brandon Quamme
Undergraduate Theses, Professional Papers, and Capstone Artifacts
Bees are an essential species that support the growth of plant communities and enhance human agricultural success. Urbanization is associated with increased impermeable surfaces, large-scale land-use change, and changes in plant and animal community assemblages. Urban expansion exacerbates habitat fragmentation and loss, which has a particularly negative impact on wild or native specialist bee pollinators and the plant species they pollinate. Global and local research indicate the widespread nature of these negative trends; however, there are abundant opportunities to mitigate the impacts on bee pollinators by restoring wild bee habitat in urban areas. Habitat includes nesting and floral resources, and …
Montana Kaimin, October 8, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, October 8, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, 1898-present
Student newspaper of the University of Montana, Missoula.
Montana Kaimin, October 1, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, October 1, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, 1898-present
Student newspaper of the University of Montana, Missoula.
The Storm Of A Century – Separation Of Powers In The United States In 2025, Anna C. Conley
The Storm Of A Century – Separation Of Powers In The United States In 2025, Anna C. Conley
Faculty Law Review Articles
Separation of powers in the United States is experiencing an unprecedented stress test. The Framers’ design envisioned three co-equal branches whose “ambition” would defensively counteract encroachment by other branches. In 2025, however, this structure is destabilized by an overly aggressive Executive, a subservient Congress, and a fractionalized Judiciary. The Executive’s unprecedented encroachment on legislative power and disregard for institutional restraint is a result of: (1) the U.S. Supreme Court’s (“the Court”) adherence to the unitary executive theory, under which the President has unfettered control over the entire executive branch, (2) Congress’ unwillingness to check the Executive, and (3) the Court’s …
Montana Kaimin, September 3, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, September 3, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, 1898-present
Student newspaper of the University of Montana, Missoula.
Documents From The September 2, 2026 Meeting Of The Associated Students Of The University Of Montana (Asum), University Of Montana-Missoula. Associated Students
Documents From The September 2, 2026 Meeting Of The Associated Students Of The University Of Montana (Asum), University Of Montana-Missoula. Associated Students
Senate Meeting Agendas and Minutes, 2007-Present
Agenda and meeting minutes from the September 2, 2026 meeting of the Associated Students of the University of Montana (ASUM).
Revisiting The Secretary Problem, Steven J. Brams, D. Marc Kilgour
Revisiting The Secretary Problem, Steven J. Brams, D. Marc Kilgour
The Mathematics Enthusiast
The venerable Secretary Problem asks how a decision maker (DM) should select one of n candidates, who come up randomly, when the only information available is each candidate’s strict rank within the set of previous applicants. Moreover, DM may select only the current candidate. Our illustrative case has n = 9 candidates, for which the Standard Method is to reject outright the first 3 candidates and then choose the first of the 4th through 8th candidates who is better than all of the first three, or the 9th candidate if none of them is. We compare the Standard Method with …
Kin 321.03: Physiology Of Exercise Laboratory, Alejandro M. Rosales
Kin 321.03: Physiology Of Exercise Laboratory, Alejandro M. Rosales
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Ahat 324.00: Assessment Of The Extremities, Melanie L. Mcgrath
Ahat 324.00: Assessment Of The Extremities, Melanie L. Mcgrath
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Phar 571.00: Integrated Studies V, Kendra A. Proacci, Andrew J. Eberling
Phar 571.00: Integrated Studies V, Kendra A. Proacci, Andrew J. Eberling
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Kin 320.01: Exercise Physiology, Charles L. Dumke
Kin 320.01: Exercise Physiology, Charles L. Dumke
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Kin 447.01: Professional Writing In Integrative Physiology, Melanie L. Mcgrath
Kin 447.01: Professional Writing In Integrative Physiology, Melanie L. Mcgrath
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Ahat 343.01: Therapeutic Interventions - Lab, Nick Cromidas
Ahat 343.01: Therapeutic Interventions - Lab, Nick Cromidas
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Kin 105.01: Foundations Of Exercise Science, Melanie L. Mcgrath
Kin 105.01: Foundations Of Exercise Science, Melanie L. Mcgrath
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Hhp 529.01: Advanced Exercise Physiology I, Charles L. Dumke
Hhp 529.01: Advanced Exercise Physiology I, Charles L. Dumke
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Hhp 526.01: Higher Education Pedagogy In Integrative Sciences, Valerie J. Moody
Hhp 526.01: Higher Education Pedagogy In Integrative Sciences, Valerie J. Moody
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Ahat 342.01: Therapeutic Interventions, Nick Cromidas
Ahat 342.01: Therapeutic Interventions, Nick Cromidas
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Kin 321.04: Physiology Of Exercise Laboratory, Aspen T. Lockwood, Reese B. Fledderjohn
Kin 321.04: Physiology Of Exercise Laboratory, Aspen T. Lockwood, Reese B. Fledderjohn
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Ahat 479.B01: Topics In Sports Medicine, Mitchell Willert, Dustin Burton
Ahat 479.B01: Topics In Sports Medicine, Mitchell Willert, Dustin Burton
University of Montana Course Syllabi, 2026-2030
No abstract provided.