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Technology, Power, And Colonial Modernity: The Making Of The Egyptian Railways, Ahmed Mohamed Rahmy
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, …
Dynamic Baseline Schedule Updates Using Digital Twinning: A Case Study On Aluminum Formwork Construction, Ahmed Hamdi Sweilam
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 …
Adjudicating Technology Facilitated Violence Against Women In Egypt: Between The Text And The Application, Eman E. Zidan
Adjudicating Technology Facilitated Violence Against Women In Egypt: Between The Text And The Application, Eman E. Zidan
Theses and Dissertations
Technology-facilitated violence against women (TFVAW) has surged on digital platforms, leading to a sharp rise in victimization rates among girls and women globally. Egypt’s pioneering cybercrime legislation, though comprehensive, remains gender-neutral and inadequate in judicial application. Community perceptions reveal systemic gaps that erode public trust and fuel demands for specialized protections. This study analyzes Egyptian judicial responses to TFVAW cases through comparative jurisprudence with jurisdictions that feature gender-specific norms. Findings demonstrate that textual provisions alone fail to arrest this escalating phenomenon, underscoring the need for integrated reforms: tailored legislation, heightened awareness campaigns, and collaborative education on rights, duties, and societal …
A Policy Analysis Of Accountability And Governance In Journalism By Artificial Intelligence (Ai) In Egypt, Amira Ahmed Salama
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 …
Grievability Of The Abject As Narrated By Exiles, Sylvia Azmy
Grievability Of The Abject As Narrated By Exiles, Sylvia Azmy
Theses and Dissertations
This thesis analyzes two novels: Inaam Kachachi’s Sawaqi al-Qulub (2005) and Shady Lewis’s ʿAla Khatt Grinitsh (2019), to understand the relationships between figures of migration, as the exile narrates his encounters with refugees. It uses Julia Kristeva’s Powers of Horror: An Essay on Abjection (1980) and Judith Butler’s Frames of War: When Is Life Grievable? (2009) as theoretical frameworks to examine the deaths of refugees and their corpses (utmost of abjection) in the two novels. Scholars have argued that the literature of forced migration is becoming more inclusive than migration narratives, a term that has focused on student travelers, exilic …
Sustainable – Low-Cost - Upgrade Of Activated Sludge Process For Nitrogen And Phosphorus (N&P) Removal From Wastewater, Abanoub N. Basta
Sustainable – Low-Cost - Upgrade Of Activated Sludge Process For Nitrogen And Phosphorus (N&P) Removal From Wastewater, Abanoub N. Basta
Theses and Dissertations
Many municipal wastewater treatment plants (WWTPs) in developing countries were designed primarily for organic matter and suspended solids removal and therefore face increasing difficulty in meeting modern nitrogen (N) and phosphorus (P) discharge requirements. Conventional biological nutrient removal upgrades commonly require additional reactor volume, recirculation systems, aeration energy, and capital investment. Accordingly, sustainable retrofit strategies that improve nutrient removal within existing treatment footprints are increasingly needed, particularly in water-scarce and land-constrained regions.
This study investigated the integration of water hyacinth (Eichhornia crassipes) into the aeration stage of an activated sludge process as a hybrid nature-based enhancement for nitrogen and phosphorus …
A Comparative Study: Force Majeure And The Theory Of Unforeseen Circumstances Across Different Jurisdictions In The Middle East, Omar Hamed Sawan
A Comparative Study: Force Majeure And The Theory Of Unforeseen Circumstances Across Different Jurisdictions In The Middle East, Omar Hamed Sawan
Theses and Dissertations
The motivation behind this study stems from recent global disruption events that impact construction projects worldwide. These events vary across a wide spectrum, whether they are political events such as the Russo-Ukraine war or the war in the Middle East, economic events such as inflation or currency devaluations; or environmental events such as climate change and the emergence of public health crises like the Covid-19 pandemic. These series of events underscore the growing importance of understanding how the different legal frameworks address unforeseeable events in the construction industry. In this context, force majeure and the theory of unforeseen circumstances (also …
Knowledge, Attitudes, And Practices (Kap) Of Parents Regarding The Prevention And Control Of Childhood Iron Deficiency Anemia In Egypt: A Cross-Sectional Study, Omnia Soliman
Theses and Dissertations
Childhood Iron Deficiency Anemia (IDA) remains a major public health challenge in Egypt, where its persistently high and rising prevalence carries substantial consequences for child growth, cognitive development, immunity, and long-term health outcomes. Globally, approximately 40% of children aged 6–59 months are affected by anemia (World Health Organization, 2025), and Egypt mirrors this burden, with national data showing a worsening trend in recent years. In Egypt, national strategies have traditionally focused on biomedical interventions such as iron supplementation and food fortification, while less attention has been directed toward behavioral and household-level determinants, particularly parental knowledge, attitudes, and practices (KAP) related …
Study Of Fast Switching Metastable-State Photoacids And Controlled Drug Release From Polycaprolactone (Pcl) Vascular Scaffold, Rana Salman Abbood Abbood
Study Of Fast Switching Metastable-State Photoacids And Controlled Drug Release From Polycaprolactone (Pcl) Vascular Scaffold, Rana Salman Abbood Abbood
Theses and Dissertations
Metastable-state photoacid (mPAH) has become a common tool for controlling and driving chemical processes with light. mPAHs with fast reverse reactions are desirable for precise temporal control or generating quick pulses of proton concentration. In this work, different approaches towards fast reversing mPAHs are studied. Experimental and computational results showed that stabilizing the charge–transfer intermediate is an effective way to increase the rate. A novel mPAH with a reverse reaction ≈500 times faster than the most widely used mPAH in methanol has been developed. Another water-soluble mPAH exhibited a reverse reaction with a rate constant of 7.8 s−1, the fastest …
Extending Geometric Acoustic Ray Tracing To Multi-Room Environments: A Case Study On Gunshot Sound Transmission Between Adjacent Rooms, Tyler Ton
Theses and Dissertations
Accurate localization of gunshots in multi-room building environments remains a challenging problem in acoustic forensics and public safety applications. Existing approaches model sound propagation within a single room, neglecting the transmission of acoustic energy through walls and other building materials. This thesis presents a study on modeling multi-room gunshot acoustic transmission, combining geometric ray tracing with structural acoustic transmission-loss modeling to generate impulse responses for two horizontally adjacent rooms separated by a shared wall, providing a foundation for future inter-room gunshot localization work. The proposed system uses GSound-SIR, a geometric acoustics engine, to simulate sound propagation in both of the …
A Data-Driven Koopman Framework For Station-Keeping On Near Rectilinear Halo Orbit, Anusha Sharma Malladi
A Data-Driven Koopman Framework For Station-Keeping On Near Rectilinear Halo Orbit, Anusha Sharma Malladi
Theses and Dissertations
Cislunar missions have gained significant attention in recent decades, motivating the need for efficient modeling and reliable control. In this work a Koopman operator based framework is developed for approximating the error dynamics around a reference Near Rectilinear Halo Orbit (NRHO) in the Earth-Moon Circular Restricted Three-Body Problem (CR3BP). A decoder free neural network is used to learn a lifted linear representation of the nonlinear CR3BP dynamics and a residual based approach is used to identify the corresponding control input matrix. The model is then implemented in a receding-horizon target point controller and compared with uncontrolled propagation and a State …
Comparative Performance Of Physiological Vital-Sign Forecasting Under Random And Patient-Wise Splitting Using Deep Learning, Lavanya Vasavi Chittem Reddy
Comparative Performance Of Physiological Vital-Sign Forecasting Under Random And Patient-Wise Splitting Using Deep Learning, Lavanya Vasavi Chittem Reddy
Theses and Dissertations
Physiological vital-sign forecasting estimates future measurements based on recent temporal patterns and can support analysis of continuously recorded monitoring data. This study comparatively evaluated deep feedforward, recurrent, bidirectional recurrent, long short-term memory, and bidirectional long short-term memory architectures for one-step-ahead forecasting of peripheral oxygen saturation, heart rate, and pulse rate. Each model received consecutive observations of peripheral oxygen saturation, heart rate, pulse rate, respiratory rate, and age, while separate single-output models predicted the next value of the selected target.
Random and patient-wise data splitting were compared using identical input definitions, preprocessing procedures, model architectures, and training hyperparameters. The strongest architecture …
Developing Imitation Learning Policies By Exploring Diffusion Framework For Quadcopters, Likith Swamireddy
Developing Imitation Learning Policies By Exploring Diffusion Framework For Quadcopters, Likith Swamireddy
Theses and Dissertations
Imitation learning offers a promising approach in developing near-optimal onboard policies for nonlinear systems, by learning from computationally expensive trajectory planners during offline training. Existing State-of-the-art methods commonly learn deterministic mappings from observations to actions by training fast neural networks to mimic the expert demonstrations, which can limit their ability to capture the action distribution, when the policy is trained on multiple possible expert commands to reach the same target, and this may lead to unsafe scenarios in the obstacle environments. To address these challenges, this study explores Diffusion Models (DMs) as a feedback controller for quadcopters that learns the …
Stimuli-Responsive Proton Transfer: Photoacid Design, Co2 Sorbent Regeneration, And Polymer Applications, Melyse Ava Laud
Stimuli-Responsive Proton Transfer: Photoacid Design, Co2 Sorbent Regeneration, And Polymer Applications, Melyse Ava Laud
Theses and Dissertations
Control over proton transfer enables the regulation of many pH-dependent chemical and material processes. Stimuli-responsive functional materials provide a means of achieving this control. Functional materials such as Metastable-state photoacids (mPAHs) reversibly release large amounts of protons when stimulated by light from a weakly acidic site within their structure. However, the dark acidities of previously reported mPAHs limit their use under basic conditions. To address this limitation, a benzimidazole-type mPAH was developed with an improved ground-state pKa of 11.9 and a metastable-state pKa of 9.8, enabling reversible proton transfer under mildly basic conditions. Additional mPAHs were examined to determine how …
A Study On Some Distance Based Domination Parameters In Graphs And Their Applications, Shanmugavelan S Mr
A Study On Some Distance Based Domination Parameters In Graphs And Their Applications, Shanmugavelan S Mr
Theses and Dissertations
Distance-based domination has emerged as a significant development in graph theory, attributed to its applications in communication systems, interconnection networks, parallel architectures, and chemical graph models. This thesis focuses on two such graph invariants: hop domination number and 2-hop domination number of graphs. The hop domination number of some generalized graph structures like generalized thorn paths, generalized theta graphs, and snake graph families is studied along with a newly introduced family, namely generalized ciliates.
Moreover, a variant of hop domination number, namely, the 2-hop domination number, is studied for some grid families like ladder, hexagonal grid, and its variants. Furthermore, …
A Fundamental Study Of Fatty Acid Ionic Liquids And Their Effects On Biomolecules, Achismita Dutta
A Fundamental Study Of Fatty Acid Ionic Liquids And Their Effects On Biomolecules, Achismita Dutta
Theses and Dissertations
Fatty acid ionic liquids (FAILs) are a class of ionic liquids (ILs) with relatively low toxicity and potential applications in biological systems. This study examined the interactions of tetramethylguanidinium decanoate, tetramethylguanidinium octanoate, choline decanoate, and choline octanoate with lipid membranes, proteins, and nucleic acids. Membrane leakage experiments using model lipid vesicles showed that decanoate-based FAILs produced greater membrane permeabilization than octanoate-based analogues, consistent with their higher membrane permeability. These effects were stronger for the ILs than for decanoate alone and occurred below the critical micelle concentration (CMC), suggesting that micelle formation may not be essential for membrane disruption. The ability …
A Hybrid Rule-Based And Large Language Model Framework For Extracting Acronym–Definition Pairs From Scientific Literature, Petro Skrypnyk
A Hybrid Rule-Based And Large Language Model Framework For Extracting Acronym–Definition Pairs From Scientific Literature, Petro Skrypnyk
Theses and Dissertations
Authors of scientific papers rely heavily on acronyms and often use them without defining them, making the literature harder to read and index. This thesis develops and evaluates a hybrid rule-based and large language model (LLM) framework that extracts acronym–definition pairs from scientific PDF documents. It extends an earlier Rowan University system that combined a regular-expression parser with a single LLM on 200 papers. That system showed that neither the parser nor the LLM alone is sufficient for accurate extraction of the pairs. The framework is a fully automated pipeline from PDF input to scored results. It compares four LLM …
Effects Of Social Comparison Instructions On Affect, Motivation For Healthy Behavior, And Health Behavior Selections: Guidance To Identify Or Contrast, Raj Harsora
Theses and Dissertations
Engaging in healthy behaviors early in life is crucial for preventing noncommunicable diseases such as type 2 diabetes, cancer, and heart disease. College is an optimal period to establish these habits, yet students often engage in poor dietary and physical activity practices; thus, identifying effective health behavior change techniques for this population is essential. Social comparisons are known to influence health behaviors, yet no research has tested comparison instructions as a behavior change technique, particularly identification versus contrast with upward and downward targets. Using a preregistered protocol (https://osf.io/z29en), we tested whether guiding college students (N=664) to identify with or contrast …
Problematic Technology Use And Quality Of Life In College Students With Varying Levels Of Schizotypy, Joseph P. Skinner
Problematic Technology Use And Quality Of Life In College Students With Varying Levels Of Schizotypy, Joseph P. Skinner
Theses and Dissertations
Problematic Technology Use (PTU) has emerged as a growing concern with technology’s continual integration into daily living. Individuals higher in schizotypy may be particularly vulnerable to the negative consequences of digital environments. The present study cross-sectionally examined associations among schizotypy, PTU, and quality of life (QOL) in 533 college students using structural equation modeling. Consistent with hypotheses, greater total schizotypy was associated with higher PTU and lower QOL. Additionally, positive, negative, and disorganized schizotypy all uniquely predicted poor QOL with the negative domain demonstrating the strongest standardized association. Contrary to hypotheses, PTU did not significantly moderate the relation between total …
Struggling Readers Collaborate On Reading Interventions For Fifteen Minutes A Day, Jordan Dobzanski
Struggling Readers Collaborate On Reading Interventions For Fifteen Minutes A Day, Jordan Dobzanski
Theses and Dissertations
This thesis examines what happens when struggling readers collaborate on reading intervention practices for fifteen minutes a day. Relevant theories that guided this research included Bandura’s Social Learning Theory, Vygotsky’s Social Constructivist Theory, and Lankshear and Knobel’s New Literacies Theory. Throughout the six-week study, four third-grade students identified as below grade level participated in a collaborative reading intervention that focused on vocabulary development, fiction and informational text comprehension, student-led discussions, digital literacy activities, and reflective journaling. Students worked together in structured literature circles while engaging in literacy activities connected to their classroom curriculum. Data were analyzed through triangulation in order …
Polymer Nanocomposite Dielectrics For High-Temperature Superconducting Cables: Cryogenic Characterization And Testing Environment Development, Jared R. Ericksen
Polymer Nanocomposite Dielectrics For High-Temperature Superconducting Cables: Cryogenic Characterization And Testing Environment Development, Jared R. Ericksen
Theses and Dissertations
High-temperature superconducting (HTS) cables require dielectric insulation materials that can withstand cryogenic operating environments while maintaining electrical reliability, mechanical stability, and manufacturing compatibility. This thesis investigates polyamide-based polymer nanocomposites as candidate HTS cable insulation materials and develops cryogenic testing platforms for evaluating thin-film dielectrics at reduced temperatures. Two silicon-based filler systems are studied: sol-gel-derived silicon dioxide (SiO 2 ) nanoparticles and polyhedral oligomeric silsesquioxane (POSS). Dielectric breakdown behavior is evaluated under DC and AC high-potential testing, while mechanical behavior is assessed through tensile testing. The results show that PA/SiO 2 nanocomposites provide the strongest overall balance of mechanical reinforcement and …
“Voices Of Tomorrow”: A Youth Participatory Action Research Study Of A Middle School Advisory In An Urban Public Charter School, Seth Hull
Theses and Dissertations
Urban middle schools often grapple with how to create spaces that affirm students’ identities and foster authentic engagement within a broader landscape shaped by standardized testing and accountability pressures. This dissertation examines Youth Participatory Action Research (YPAR) and advisory as two relationally grounded practices that can address these challenges. Grounded in critical hope (Zembylas, 2013), culturally sustaining pedagogy (Paris & Alim, 2017), and community responsive education (Duncan-Andrade, 2022), the study explores the experiences of 12 middle school students who spent seven months investigating their school’s advisory program as student-researchers, as well as the findings that emerged about advisory. Data sources …
The Impact Of Stigma On The Mmpi-3 Scores Of An Indo-Caribbean Community Sample, Julia Persaud-Naipaul
The Impact Of Stigma On The Mmpi-3 Scores Of An Indo-Caribbean Community Sample, Julia Persaud-Naipaul
Theses and Dissertations
Evaluation of personality and psychological disorders is accomplished through the use of psychometric measures. However, tests require interpretation of test responses using a normative criterion based on a particular population that may not fully consider the effect of cultural influences on an individual’s level of willingness to report psychological difficulties. For example, individuals in collectivistic cultures may not be as willing to self-report problems because mental illness is often perceived as a source of embarrassment and shame. One culturally unique population that has been overlooked in psychological assessment is the Indo-Caribbean population. Their specific cultural values, beliefs, attitudes, and practices …
A Framework For Automated Quantity Extraction From .Ifc Models And Normalized Bid Comparison, Asmaa Mohamed Farouk
A Framework For Automated Quantity Extraction From .Ifc Models And Normalized Bid Comparison, Asmaa Mohamed Farouk
Theses and Dissertations
Accurate bid comparison remains a major challenge in construction tendering due to
differences in Bill of Quantities formats, item naming conventions, and pricing methods across
contractor submissions. These variations require time-consuming manual work and often lead to
subjective decisions. This research presents a computational framework that uses Building
Information Modeling through the .ifc file format, combined with text analysis techniques for
automated bid normalization.
The developed system uses a dual-component approach. Phase 1 extracts quantities from .ifc
model files using 3D geometric calculations, automated element classification. Phase 2 uses text
mining with a domain-specific dictionary of construction terms to interpret …
The Game Within: An Anthropological Approach To Games And Play, Nehal Maged Mohamed
The Game Within: An Anthropological Approach To Games And Play, Nehal Maged Mohamed
Theses and Dissertations
This thesis is based on an eighteen-month ethnography of El Ghawasa, an Egyptian play-based organization that designs educational games, tools, and services. Claiming that El Ghawasa, with its ethos of play, seeks to create an alternative to the capitalist corporate structure. Through tracking how this organization navigates ruptures, negotiates constraints, and experiments with different practices and internal restructuring, I explore the possibilities and limitations of El Ghawasa, while attempting to resist absorption by the very system it opposes. I ask: when the rules keep changing (while the logic of the capitalist corporate structure remains the same), and the boundaries of …
Representations Of Cartel Leaders In Narcocorridos: A Reflexive Thematic Analysis, Gael Gamboa
Representations Of Cartel Leaders In Narcocorridos: A Reflexive Thematic Analysis, Gael Gamboa
Theses and Dissertations
Narcocorridos have become one of the most recognized expressions of narcoculture in Mexico. Despite growing scholarly interest in narcoculture, relatively few studies have examined how cartel leaders are represented across narcocorridos. This study addresses this gap by examining the symbolic representations of Joaquín “El Chapo” Guzmán, Miguel Ángel Félix Gallardo, and Amado Carrillo Fuentes in narcocorrido lyrics. The study is guided by cultural criminology and subculture theory; this study employed a qualitative research design using reflexive thematic analysis. A purposive sample of 25 narcocorridos was analyzed to identify recurring patterns in the representation of cartel leadership. As a result, six …
Development Of Quantum Cryptographic Algorithm For Next Generation Secure Systems, Gururaja Ts Mr
Development Of Quantum Cryptographic Algorithm For Next Generation Secure Systems, Gururaja Ts Mr
Theses and Dissertations
The rapid advancement of digital communication and quantum technologies are developing at an accelerated pace makes cybersecurity and data protection a big challenge. The traditional cryptographic methods are increasingly under attack by phishing, brute force, cryptanalytic attack and threats of quantum computing. This research presents a quantum-secure communication based on Quantum Random Number Generator (QRNG), Quantum Key Distribution (QKD), Quantum Image Encryption (QIE) and secure quantum key access using a dongle-based hardware.
QRNG models were designed in the quantum simulator and hardware. The sequences produce high entropy and they passed the statistical randomness tests with p-values higher than 0.01 indicates …
Workers Authoring Assessment: Play And Power In Early Childhood Education, Phoebe M. Gilpin
Workers Authoring Assessment: Play And Power In Early Childhood Education, Phoebe M. Gilpin
Theses and Dissertations
Researchers assert that play-based pedagogy is an effective approach to teaching young children, but there is less consensus on the specific methods of play-based teaching. This mixed-methodology exploratory case study investigated early childhood (EC) educators’ conceptualizations of play-based pedagogy in three phases: Phase 1’s quantitative measure testing found a mismatch between researchers’ conceptualization of play-based pedagogy and EC educators’ (n=183) understandings. In Phase 2, EC educators (n=3) articulated their perspectives about teaching through play and co-authored a new tool, the Teacher-Authored Play and Teaching Scale (TAPTS). Within Phase 3, EC educators (n=60) completed the TAPTS, which I interpreted through a …
Dual-Polymer Concrete With Recycled Pet And Hdpe Aggregates: Mechanical And Durability Performance Assessment, Omar Abd El Mageed Hammouda
Dual-Polymer Concrete With Recycled Pet And Hdpe Aggregates: Mechanical And Durability Performance Assessment, Omar Abd El Mageed Hammouda
Theses and Dissertations
This study investigates the fresh, mechanical, durability, thermal, performance as well as preliminary financial aspects of dual-polymer concrete incorporating recycled polyethylene terephthalate (PET) as a partial replacement for fine aggregate and recycled high-density polyethylene (HDPE) as a partial replacement for coarse aggregate, with silica fume as a supplementary cementitious material held constant at 10% by weight of cement. The study responds to the convergence of two pressing challenges in the Egyptian context: the scale of plastic waste mismanagement, which results in widespread informal open burning and environmental contamination, and the high operational energy demand of residential buildings in Egypt's hot …
Developing An Object Level Understanding Of Sine And Cosine As Ratios And A Coherent Trigonometry, Jeffrey Peter Nair
Developing An Object Level Understanding Of Sine And Cosine As Ratios And A Coherent Trigonometry, Jeffrey Peter Nair
Theses and Dissertations
Solving right-triangle problems as well as integrating right-triangle and circular trigonometry into a coherent understanding are documented challenges for students. Prior research has deeply investigated students constructing ratio meanings for sine and cosine using a circle-first approach, which then can be extended to right triangles. Also, past work has separately documented distinct meanings that are useful for sine and cosine, in addition to the ratio meaning, including as lengths in a unit circle and coordinate points. This study took these existing ideas and put them together into one possible developmental progression, based on APOS theory, where students can learn length, …