Digital Commons Network^™

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

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

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

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

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

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

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

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

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

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

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 …

Enhancing User Engagement In Heritage Sites Through Interactive Digital Design: Development And Evaluation Of A Web-Based Application At The Qalawun Complex, Hend Bazeed

Theses and Dissertations

This study develops and evaluates a web-based interactive application for the Qalawun Complex in Cairo, a fourteenth-century Mamluk monument of significant tangible and intangible cultural heritage value, with the aim of enhancing visitor engagement beyond the passive observation that characterizes most heritage visits. The research is structured within an Asset-Design-Evaluate (ADE) framework and grounded in Radical Constructivism, Situated Learning theory, and the Design-Dynamics-Experience (DDE) framework, positioning the physical architecture of the site as the primary source of visitor knowledge through observation-based interaction tasks.

The application, titled "Qalawun's Treasure," comprises eight spatially anchored hotspots across the mausoleum, madrasa, and bimaristan of …

Technology, Power, And Colonial Modernity: The Making Of The Egyptian Railways, Ahmed Mohamed Rahmy

Theses and Dissertations

This thesis examines Egyptian railways as a technology of power through which modern temporal order was gradually formed, reorganized, and contested. Focusing on the period from 1850 to 1920, it argues that railway infrastructure did more than facilitate mobility, economic exchange, and imperial administration: it reorganized the temporal relations through which social life was governed and experienced. Timetables, standardized schedules, fares, penalties, stations, and administrative procedures made punctuality, regularity, and measurable time appear as neutral requirements of life, while positioning existing ecological, agricultural, religious, and communal rhythms as signs of backwardness.

The thesis draws on British official correspondence, parliamentary debates, …

Between The Lens And The Gaze: Reflections Of Femininity In Film, Noureen Sakr

Theses and Dissertations

This thesis explores the male gaze’s construction of femininity through the use of glass and reflective surfaces, particularly mirrors, windows, glasses, and cameras in film. Reflections and depictions of women are recurring motifs in cinema, often symbolizing dynamics of perception and power. This thesis mobilizes related psychoanalytic and feminist conceptions to examine and compare the recurring visual motifs in the following films: Alfred Hitchcock’s Strangers on a Train (1951) and Rear Window (1954), Paul Verhoeven’s Basic Instinct (1992), & Darren Aronofsky’s Black Swan (2010). This thesis employs a qualitative, interdisciplinary methodology that integrates psychoanalytic theory, feminist film theory, literary criticism …

Hell Reimagined: Dante’S Inferno And The Secular Afterlives Of Divine Punishment, Yara Mohamed El Hashimi

Theses and Dissertations

This thesis examines contrapasso and how it changes across different media and different sources of moral authority. In Chapter One, I examine four different cantos of Dante’s Inferno and rely on Teodolinda Barolini’s work to examine textual contrapasso. Chapter One also discusses how Dante’s work shows the sinner’s moral condition and makes it visible through the punishment inflicted. Additionally, Dante’s Inferno presents punishment as part of a divinely authorized moral order, which becomes important in Chapter Two when I examine how William Blake visually interprets and questions that system. In Chapter Two, I examine the works of Blake that correspond …

Policy Coherence And Private Sector Development In Egypt: Aligning Governance Reforms With Development Finance, Shereef El Tanahi

Theses and Dissertations

Despite record volumes of development finance flowing into Egypt, the private sector, particularly its micro, small, and medium enterprises, has yet to experience the broad-based growth these investments were designed to catalyze. Between 2020 and 2025, international development partners committed more than 15.6 billion dollars to Egypt's private sector, yet private investment remains a modest share of the national economy, and most domestic firms continue to face severe barriers to credit.

This thesis argues that the answer lies not in the volume of capital mobilized, but in the coherence of the policies that govern how that capital reaches firms. The …

Simulation-Based Assessment Of Operational And Retrofit Solutions For Effluent Compliance Of A Capacity-Limited Oxidation Ditch Wwtp, Ahmed Sameh Harash

Theses and Dissertations

Oxidation-ditch wastewater treatment plants (WWTPs) across Egypt's Nile Delta are increasingly carrying hydraulic and organic loads beyond what they were designed for. This work can be considered pioneering as this work compared operational and structural retrofit alternatives for such a plant within a single verified simulation framework. The present study fills that gap by building a digital twin of the Qaha WWTP, a dual-train Carrousel oxidation ditch in Qalyubia Governorate, calibrated to a baseline flow of 7,420 m³/day in the SUMO24 platform (a third-generation, open-source wastewater treatment process simulation software) using the SUMO2c biokinetic model (a simplified variant of Activated …

“The Light Of Certain Belief” – Orthodoxy Versus Innovation According To Abū Ḥāmid Al-Ghazālī’S Al-Risāla Al-Qudsiyyah, Thomas Robinson

Theses and Dissertations

This thesis examines the question of Islamic orthodoxy in the thought of Abū Ḥāmid al-Ghazālī, with particular attention to his Risāla al-Qudsiyya and its place within his wider intellectual and reformative project. It begins by exploring concepts of orthodoxy and heterodoxy across the Christian and Islamic traditions, arguing that orthodoxy emerges through processes of interpretation, doctrinal conflict, boundary formation, and communal consensus. Islamic orthodoxy is understood as the historically consolidated mainstream of belief rooted in the Qurʾān, the Sunnah, the authority of the early community, and the scholarly tradition.

The central argument of the thesis is that al-Ghazālī conceives of …

Here Comes The Sun: A Diachronic Study Of The Role Of Music In The Amarna Period, Waleed Hawatky

Theses and Dissertations

Music has and continues to play a prominent role in the lives of individuals and in society, hardwired into the human experience and integral to our understanding of the world in both its tangible and intangible manifestations. This was no different in dynastic Egypt, where abundant iconographic and physical evidence from the Old Kingdom onward shows music performed in many diverse contexts at every social level.

Music appears not only to gain prominence during the reign of Amenhotep IV/Akhenaten (c. 1353–1335), also known as the Amarna Period, but also to develop innovations, including new kinds of instruments and musical ensembles, …

Dynamic Baseline Schedule Updates Using Digital Twinning: A Case Study On Aluminum Formwork Construction, Ahmed Hamdi Sweilam

Theses and Dissertations

Repetitive high-rise construction using aluminum formwork couples consecutive floor cycles through a reused panel set and a floor-level inspection and pour barrier, so productivity loss compounds upward rather than being absorbed locally. The baseline schedule is nevertheless fixed before execution and is not revised as evidence of realized productivity accumulates. This thesis develops a simulation-based digital twin that updates the baseline from observed as-built durations and acts on its own forecast. A discrete-event simulation of a ten-story residential tower is built in AnyLogic® and verified analytically at 180.00 hours per floor. After each completed floor the twin infers activity productivity …

A Maximum Energy Release Rate Computational Framework For Fatigue Crack Trajectory And Life Prediction Under Mixed-Mode Proportional And Nonproportional Loading, Nahla Helmy Matar

Theses and Dissertations

The problem of mixed-mode fatigue crack growth has been a persistent research challenge. The determination of fatigue crack propagation direction directly impacts the safety and integrity of components and structures, making it crucial in various industrial applications, including welded drilling pipes, aerospace, and automotive engineering. Unlike uniaxial loading, mixed-mode cracks tend to change direction frequently (kinking), and nonproportional loading adds to the complexity of the problem. This research aims to estimate the crack propagation direction and fatigue crack life in linear elastic materials subjected to mixed-mode (I+II) loading conditions under proportional or non-proportional cyclic loading. Numerical software was developed based …

Bridging The Gap Between Career Expectations Versus Labor Market Realities, Reinette P. Madrid, Grethel T. Ledesma, Ignatius Aryono Putranto, Jyro B. Triviño

Leadership and Strategy Faculty Publications

Most students lack awareness regarding the labor market outcomes for their chosen college majors. This study aims to answer what factors affect the career expectations of graduating students at Quezon City University and how these expectations align with the prevailing labor market situation. It employed descriptive, causal, and explanatory research using a sample of 108 respondents from fourth-year information technology students for the school year 2021 to 2022. Eight of the nine null hypotheses were rejected by employing multinomial logistic and linear regression. Student fixed effects and other labor market outcomes significantly predicted salary, estimated stability, and estimated skills in …

A Policy Analysis Of Accountability And Governance In Journalism By Artificial Intelligence (Ai) In Egypt, Amira Ahmed Salama

Theses and Dissertations

The growing use of Generative Artificial Intelligence (GenAI) and AI-assisted tools in journalism raises governance questions concerning accountability, human oversight, transparency, verification, editorial responsibility, and implementation. In Egypt, these issues arise within an emerging but fragmented governance environment that includes national AI guidance, media regulation, professional self-regulation, and developing newsroom practices. This study examines how these arrangements can be integrated into a coherent national sector-specific policy framework for GenAI and AI-assisted journalism.

The study adopts a qualitative methodology combining a descriptive qualitative document analysis with stakeholder semi-structured interviews. Four governance instruments were analyzed: the Council of Europe’s Guidelines on the …

Hearsay In High Definition: Body-Worn Cameras And The Future Of Intimate Partner Violence Prosecutions, Kenechukwu Okocha

Working Papers

Technological advances in documenting police encounters with the public have outpaced evidentiary hearsay rules. Specifically, the rapid adoption of body-worn cameras (BWCs), fueled by racial justice and police reform advocates, has produced previously unavailable, vivid, and timely recordings of IPV victims’ accounts of abuse. Unfortunately, state and federal rules governing hearsay often prevent juries from considering these out-of-court statements. Such restrictions carry particular force in IPV cases, where victims frequently recant or decline to testify at trial due to abuser manipulation or distrust of the criminal justice system.

Courts and legislatures have eased some evidentiary restrictions in IPV cases in …

From Global Governance To Regulatory Retreat: The Csddd, Fashion Supply Chains, And The Limits Of Eu Supply Chain Ambition After Omnibus I, Cienna Alam

Student Works

No abstract provided.

Major League Baseball’S Grand Slam: The History Of The Game, The Present Antitrust Exemption, And The Future Of Baseball Governance, Brenda Delgadillo Mera

Student Works

No abstract provided.

Fragmented Data Privacy Statutes And Political Insecurity In The Face Of Dormant Commerce Clause Challenges, Filip Malesev

Student Works

No abstract provided.

Constitutional Limits On Occupational Licensing Bans As Collateral Consequences Of A Criminal Conviction, Imran Rabbani

Student Works

No abstract provided.

After Alston: Collective Bargaining And The Future Of College Athlete Compensation, Chris Mackey

Student Works

No abstract provided.

Embracing Social Media In Identity Exploration And Treatment, Sharon G. Stalions

Psychology Doctoral Specialization Projects

In recent years, Americans are utilizing social media, and particularly video-based social media like TikTok. At the same time, and potentially in response to the ease of access to mental health information online, Americans are increasingly seeking diagnoses. This can be seen not only for mood disorders, but of neurodevelopmental disorders such as attention deficit/hyperactivity disorder (ADHD) and Autism Spectrum Disorder (ASD). Clinicians are no longer the gatekeepers to information on mental health diagnosis, and some communities question the relevance and validity of a professional diagnosis at all. As digital natives become adult therapy consumers, it is important that clinicians …