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Articles 1 - 30 of 18530
Full-Text Articles in Entire DC Network
Teschner V. Commissioner, 38 T.C. ... No. 101 (1962), Harry A. Haines
Teschner V. Commissioner, 38 T.C. ... No. 101 (1962), Harry A. Haines
Montana Law Review
Teschner v. Commissioner
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.
Evolution Of Pre-Service Teacher Beliefs Along The Traditional-Reform Continuum: An Examination Of Normative Beliefs And Discursive Claims A Decade Later, Mary Elizabeth Riley Lloyd, Adam Jordan
Evolution Of Pre-Service Teacher Beliefs Along The Traditional-Reform Continuum: An Examination Of Normative Beliefs And Discursive Claims A Decade Later, Mary Elizabeth Riley Lloyd, Adam Jordan
The Mathematics Enthusiast
This study replicated an earlier study that explored the beliefs of a sample of K-8 pre-service teachers (PSTs). Results of this study position PSTs’ beliefs along a traditional-reform continuum. The positioning from the current study is compared to that of the former study, to determine the level of progress made toward the National Council of Teachers of Mathematics’ commitment to high-quality instruction. To position beliefs, PSTs completed a Likert survey, including open-ended questions, three times throughout their teacher preparation program (TPP): before taking any of their mathematics education courses, after taking both required mathematics education courses, and after student teaching. …
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 …
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.
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 …
Book Review: Mathematical Geography In The Eighteenth Century: Euler, Lagrange And Lambert, Bharath Sriraman
Book Review: Mathematical Geography In The Eighteenth Century: Euler, Lagrange And Lambert, Bharath Sriraman
The Mathematics Enthusiast
This review examines Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert, edited by Renzo Caddeo and Athanase Papadopoulos (Springer, 2022), a volume bringing together ten historical and mathematical essays alongside complete English translations of six foundational memoirs on cartography by Euler (four), Lagrange (one), and Lambert (one). The review assesses the volume’s mathematical depth across its core topics: Euler’s system of differential equations establishing the non-existence of perfect maps, the derivation of the Mercator and conformal projections via partial differential equations, Lagrange’s introduction of the Cauchy–Riemann equations and holomorphic functions into cartographic theory, and Lambert’s construction of …
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.
Montana Kaimin, September 24, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, September 24, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, 1898-present
Student newspaper of the University of Montana, Missoula.
Montana Kaimin, September 17, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, September 17, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, 1898-present
Student newspaper of the University of Montana, Missoula.
Montana Kaimin, September 10, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, September 10, 2026, Students Of The University Of Montana, Missoula
Montana Kaimin, 1898-present
Student newspaper of the University of Montana, Missoula.
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.
Stat 216.51: Introduction To Statistics, Blake P. Miller
Stat 216.51: Introduction To Statistics, Blake P. Miller
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.
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.
Hth 475e.01: Legal And Ethical Issues In Health And Exercise Professions, Charles G. Palmer
Hth 475e.01: Legal And Ethical Issues In Health And Exercise Professions, Charles G. Palmer
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.
Atep 581.01: Therapeutic Interventions I, Nick Cromidas
Atep 581.01: Therapeutic Interventions I, Nick Cromidas
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Hhp 531.01: Lab Procedures In Exercise Science, Charles L. Dumke
Hhp 531.01: Lab Procedures In Exercise Science, Charles L. Dumke
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Kin 440.01: Sports Psychology, Charles G. Palmer
Kin 440.01: Sports Psychology, Charles G. Palmer
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Phar 550.01: Drug Literature Evaluation, Sherrill J. Brown, David D. Allen, Staci L. Hemmer
Phar 550.01: Drug Literature Evaluation, Sherrill J. Brown, David D. Allen, Staci L. Hemmer
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Phar 300.01: Pharmacy Practice I: Introduction To Pharmacy Practice, Jenner Minto, Jade A. Bosic-Reiniger, Andrew J. Eberling
Phar 300.01: Pharmacy Practice I: Introduction To Pharmacy Practice, Jenner Minto, Jade A. Bosic-Reiniger, Andrew J. Eberling
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Phar 350.01: Introduction To Drug Information, Sherrill J. Brown, David D. Allen, Monica A. Serban
Phar 350.01: Introduction To Drug Information, Sherrill J. Brown, David D. Allen, Monica A. Serban
University of Montana Course Syllabi, 2026-2030
No abstract provided.
Phar 550.02: Drug Literature Evaluation, Sherrill J. Brown, David D. Allen, Staci L. Hemmer
Phar 550.02: Drug Literature Evaluation, Sherrill J. Brown, David D. Allen, Staci L. Hemmer
University of Montana Course Syllabi, 2026-2030
No abstract provided.