Mathematics Faculty Publications | Mathematics Department | Ateneo de Manila University
 

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Submissions from 2025

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The Mathematical Experience Museum: Breathing Life into Theorems and Formulas, Jin Akiyama, Jude Buot, and Mark Anthony C. Tolentino

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Comparing Two Psychometric Approaches: The Case of Item Analysis for a Classroom Test in Mathematics, Mark Lester B. Garcia, Kevin Carl P. Santos, and Catherine P. Vistro-Yu

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Uncertainty in Pricing and Risk Measurement of Survivor Contracts, Kenrick Raymond So, Stephanie Claire Cruz, Elias Antonio Marcella, Jeric C. Briones, and Len Patrick Dominic Garces

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The Implementation of Long-Short Term Memory for Tourism Industry in Malaysia, Siti Aishah Tsamienah Taib, Noratikah Abu, Azlyna Senawi, and Clark Kendrick C. Go

Submissions from 2024

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Hyperbolic Isogonal Tilings from Uniform Edge Colorings, Agatha Kristel Abila, Ma. Louise Antonette De las Penas, and Mark Tomenes

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On Uniform Edge-n-colorings of Tilings, Agatha Kristel Abila, Ma. Louise Antonette De las Penas, and Mark Tomenes

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Service-learning as an Institutional Commitment to its Mission and Identity, Genejane Adarlo, Urduja C. Amor, Agnes Garciano, and Juliet Q. Dalagan

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Lag and Duration of Leader-Follower Relationships in Mixed Traffic Using Causal Inference, David Demitri Africa, Ronald Benjamin Dy Quiangco, and Clark C. Go

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Detecting Localized Systematic Fraud in the 2022 Philippine National Elections, Aldrich Ellis C. Asuncion, Jeric C. Briones, Eden Delight Miro, and William Emmanuel S. Yu

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Deep Learning Approaches in Interest Rate Forecasting, Halle Megan L. Bata, Mark Jayson A. Victoria, Wynnona Chezska B. Alvarez, Elvira De Lara-Tuprio, and Armin Paul D. Allado

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Two-Order Convergence, Joseph T. Belida and Emmanuel A. Cabral

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Developing a Game-Based Instructional Manipulative for Permutation and Combination, Jay Ar G. Beloy, Frankie A. Fran, and John Bill B. Fajarito

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Mathematics as a Tool for Critical Citizenship: The Case of the Philippine National Elections 2022, Jeric C. Briones, Vitus Paul L. De Jesus, Eden Delight Miro, Nhoriel I. Toledo, and Catherine P. Vistro-Yu

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Towards a More Engaged Democracy: Using Statistical Methods to Detect Election Fraud in the 2022 Philippine National Elections, Juan Miguel Cardaño, Bryan Patrick Mande, Seth William Tionko, Aldrich Ellis C. Asuncion, and Jeric C. Briones

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What do Filipino Children Eat: Applying Market Basket Analysis on the Meals of School-Aged Children in the Philippines, Enzo Gabriel Castillon, Richell Isaiah Flores, Jacob Lim, Eden Delight Miro, and Clark Kendrick C. Go

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Using Machine Learning Algorithms to Determine the Food Insecurity Level of Households of Public School Children, Arnold Dela Cruz, Nathaniel Isaiah Gallegos, Kyle Aiden Gattud, Victor A. Antonio, Eden Delight Miro, and Clark C. Go

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Commognitive Conflicts in a Virtual Learning Environment: Exploring the Affordances of Mobile Learning for Discourse Analysis, Mark N. Cumayas and Maria Alva Q. Aberin

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Assessing the Mathematical Reasoning Required in Geometry Examination Tasks for the Filipino Deaf/Hard-of-Hearing Learners, Vitus Paul L. De Jesus and Angela Fatima H. Guzon

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Curriculum Adaptation Model: Modifying the Mathematics Curricula for a More Inclusive Public School Deaf and Hard-of-Hearing Mainstream Classroom, Vitus Paul L. De Jesus and Angela Fatima H. Guzon

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Real-Time and Long-term Forecasting Tools for Flood Management and Quick Response, Elvira De Lara-Tuprio, Karlo L. Queaño, Elijah Patrick Tuprio, Renz Alvarado, Annie Bandong, Carleen Gatdula, Ryan Roi Cayas, Christell Doria, and Junifer Sombilon

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Symmetry Groups of the Batak Basketweave Patterns, Ma. Louise Antonette De las Penas, Agnes Garciano, Debbie Marie B. Verzosa, and Mark D. Tomenes

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GeoGebra Applets for Fostering Conceptual Understanding in Algebra, Ma. Louise Antonette N. De las Penas, Mark Anthony C. Tolentino, Maria Alva Q. Aberin, Agnes D. Garciano, Juan Carlo F. Mallari, Jumela F. Sarmiento, and Debbie Marie B. Verzosa

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Symmetry Groups of Two-Way Twofold and Three-Way Threefold Fabrics, Ma. Louise Antonette De las Penas, Mark Tomenes, and Kristan Liza

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Symmetry Groups of Two-way Twofold and Three-way Threefold Fabrics, Ma. Louise Antonette De las Penas, Mark Tomenes, and Kristan Liza

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Pneumothorax Detection and Segmentation from Chest X-ray Radiographs Using a Patch-based Fully Convolutional Encoder-Decoder Network, Jakov Ivan S. Dumbrique, Reynan Hernandez, Juan Miguel L. Cruz, Ryan M. Pagdanganan, and Prospero C. Naval

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Modeling Pooled Procurement of Philippine Department of Health Drugs and Medicines Using OLS Regression, Chloe Marie M. Dy-Liacco, Theresa Denise C. Magsajo, Kimberlee S. Say, Clark Kendrick C. Go, Jhanna Uy, and Victor Andrew A. Antonio

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Tight Bounds for the N2-Chromatic Number of Graphs, Arnold Eniego, Ian June L. Garces, and Jose Rosario

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Differentiated Instruction In Geometry Using Low Floor, High Ceiling Mathematical Tasks, Franklin R. Falculan and Maria Alva Q. Aberin

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A Construction of Two-Dimensional Random Substitution Systems, Bryan Ceasar L. Felipe and Eden Delight P. Miro

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A New Definition of Conditional Expectation for Finite Uncertainty Spaces, Michael Frondoza, Richard Eden, and Elvira De Lara-Tuprio

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Writing PISA-Like Mathematics Items: The Case of Tertiary Mathematics Instructors from a State University in the Philippines, Mark Lester B. Garcia, Derren N. Gaylo, and Catherine P. Vistro-Yu

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Leveraging International Large-Scale Assessments: Insights from an Item-Writing Professional Development Program for High School Mathematics Teachers, Mark Lester B. Garcia and Catherine P. Vistro-Yu

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Binary Classification of Glomeruli Using Convolutional Neural Networks, Wilbert Garganera, Syou Katsumi, Joachim Regalado, and Jeric C. Briones

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Can't We Just Use Computers? Initial Efforts on Technology-Enhanced Learning of Operations Research in a Philippine University, Lester Hao, Jeric C. Briones, and Mark Anthony C. Tolentino

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Geometric Realizations of the Abstract Platonic Polyhedra, Mark Loyola

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Noncrystallographic Tail-triangle C-groups of Rank 4 and Interlacing Number 2, Mark L. Loyola, Nonie Elvin S. Leyrita, and Ma. Louise Antonette N. De las Peñas

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Mathematical Analysis of a COVID-19 SEIQR Model with Time-Varying Transmission, Destiny S. Lutero, Timothy Robin Teng, and Mark Anthony C. Tolentino

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Topological Data Analysis of Collective Behavior in Public Transportation, Ralph Joshua Macarasig, Guinevere Soria, Joaquin Emilio Aycardo, Albert Garcia, Job A. Nable, and Clark C. Go

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Dynamic Portfolio Optimization According to Market States and Diversification Using Hierarchical Clustering, Andrei Lanz Malabaguio, Ralph Luis Gabriel Pimentel, Ana Maria Michaela Zaballero, and Clark Kendrick C. Go

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Assessing the Optimality of a Three-Part Pricing Policy for an Asset-Sharing Platform in the Philippines, Cristina Bianca Mallari, Helene Ivanne Sy, Julienne Joan Yap, and Daniel Joseph Benito

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Parameter-Efficient Convolutional Neural Networks using Wavelet Transforms, Arnel L. Malubay, Kurt Anthony C.De Los Santos, and Job A. Nable

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On the Vertex Identification Spectra of Grids, Reginaldo M. Marcelo, Mark Anthony C. Tolentino, Agnes Garciano, Mari-Jo P. Ruiz, and Jude Buot

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Topological Mixing of Random n-bonacci Substitutions, Jim Ralphealo Mijares, Earl John Sinajon, and Eden Delight Miro

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Topological Semi-Mixing of Random n-bonacci Substitutions, Jim Ralphealo Mijares, Earl John Sinajon, and Eden Delight Miro

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Mathematics as a Tool for Social Awareness and Empowerment: A Case Study from the Philippines, Eden Delight Miro, Maria Theresa Fernando, Mida Guillermo, Joselito T. Sescon, and Daniel Joseph Benito

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Fundamental Phase Space Formula for the Similitude Group, Laarni B. Natividad and Job A. Nable

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Cognitive Load Scale in Learning Formal Definition of Limit: A Rasch Model Approach, Rina Oktaviyanthi, Ria Noviana Agus, Mark Lester B. Garcia, and Kornkanok Lertdechapat

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Pseudo-Orthogonal Diagonalization for Linear Response Eigenvalue Problems, Annie Lyn Oliveros-Yusiong and Roden Jason A. David

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Utilizing Technology in a Professional Development Program on Problem Solving for Filipino Mathematics Teachers, Chara Deanna F. Punzal, Lester C. Hao, Eden Delight P. Miro, and Romina Ann S. Yap

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Designing Learning Trajectory to Support Preservice Mathematics Teachers' Skills in Creating and Implementing Realistic Mathematics Tasks, Veronika Fitri Rianasari and Angela Fatima H. Guzon

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Mathematics Education in Asia: Curriculum and Its Origins, David Lindsay Roberts, Rakhi Banerjee, and Catherine P. Vistro-Yu

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Quantization of Time of Arrival Functions via Harmonic Analysis on the Euclidean Motion Group on the Plane, Daisy A. Romeo and Job A. Nable

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Enhancing mathematical models for COVID-19 pandemic response: A Philippine study, Timothy Robin Teng, Elvira De Lara-Tuprio, Ma. Regina Justina Estuar, Christian Pulmano, Lu Christian S. Ong, Zachary Pangan, Lenard Paulo V. Tamayo, Jasper John V. Segismundo, Mark Anthony C. Tolentino, and Alyssa Nicole N. Ty

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Assessing Economic Losses with COVID-19 Integrated Models: A Retrospective Analysis, Timothy Robin Teng, Elvira De Lara-Tuprio, Joselito T. Sescon, Cymon Kayle Lubangco, Rolly Czar Joseph T. Castillo, Mark Anthony C. Tolentino, Maria Regina Justina E. Estuar, Lenard Paulo V. Tamayo, and Christian E. Pulmano

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Mathematical Analysis of a Two-Strain Compartmental Model with Vaccination and Quarantine, Timothy Robin Teng, Vincent Emmanuel M. Jamias, Norwyn Nicholson L. Kah, Lu Christian S. Ong, and Rodrigo Dexter A. Perando

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Stability Analysis of a COVID-19 SEIQR Model with Switching Constant Transmission Rates, Timothy Robin Y. Teng, Destiny S. Lutero, and Mark Anthony C. Tolentino

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Insights on the Hierarchy of Letters in Scrabble Using Cosine Similarity, Minimum Spanning Tree, and Centrality Analysis, Mark Anthony C. Tolentino, Vince Andrew L. Lee, Axirazel D. Lorenzo, and Tristan Emmanuel A. Ramos

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ID Numbers of Lobster Graphs, Mark Anthony C. Tolentino, Luis Silvestre Jr, Richwell T. Chan Sim, Amir Jann Erikson Diga, and Althea Julia R. Loyola

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Construction of Tilings with Transitivity Properties on the Square Grid, Mark D. Tomenes and Ma. Louise Antonette N. De las Penas

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Navigating around Marginalizing Complexities: The Case of Mathematics Teachers in the Philippines, Catherine P. Vistro-Yu and Debbie Marie B. Verzosa

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Exploring the Intersection of Visualization and Language through Cognitive Restructuring, Dennis Lee Jarvis B. Ybañez and Lester Hao

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Applying XGBoost, Neural Networks, and Oversampling in the Undernutrition Classification of School-Aged Children in the Philippines, Mark Kevin A.Ong Yiu, Carlo Gabriel M. Pastor, Gabrielle Jackie C. Candano, Eden Delight Miro, Victor Andrew A. Antonio, and Clark Kendrick C. Go

Submissions from 2023

Enhancing Trigonometry Learning Through a Mobile App, Maria Alva Q. Aberin, Ma. Louise Antonette De Las Peñas, Agnes Garciano, Juan Carlo F. Mallari, Jumela F. Sarmiento, Mark Anthony C. Tolentino, and Debbie Marie B. Verzosa

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Catalysts of Social Change Examining Leadership Development in Service-Learning, Genejane M. Adarlo, Urduja C. Amor, Agnes D. Garciano, and Juliet Q. Dalagan

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Futures for Post-Pandemic Mathematics Teacher Education: Responsiveness and Responsibility in the Face of a Crisis, Bill Atweh, Berinderjeet Kaur, Gladys Nivera, Abadi Abadi, and Sampan Thinwiangthong

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Phase Space Analysis of the Zero-Order Bessel Beam and Superimposed Zero-Order Bessel Beams, Franulfo L.Dela Cruz, Raphael A. Guerrero, and Job A. Nable

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Mathematical Mobile Apps Via Rural Casting, Ma Louise Antonette N. De Las Peñas, John Chris T. Kwong, Peter Antonio B. Banzon, Philip A. Martinez, Wilbur Isaac G. Lapada, Julian N. Eballa, John Emil C. Sebastian, Miguel D. Asido, Jan Daryl M. San Juan, Debbie Marie B. Verzosa, Jumela F. Sarmiento, Agnes D. Garciano, Mark Anthony C. Tolentino, Maria Alva Q. Aberin, and Juan Carlo F. Mallari

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Bridging the Mathematics Gap Through the Use of Mathematical Apps, Ma. Louise Antonette N. De las Penas, Debbie Marie B. Verzosa, Maria Alva Q. Aberin, Agnes D. Garciano, Juan Carlo F. Mallari, Jumela F. Sarmiento, and Mark Anthony C. Tolentino

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A Visualization App on Proving Geometric Concepts, Ma. Louise Antonette N. De Las Peñas, Debbie Marie B. Verzosa, Maria Alva Q. Aberin, Agnes D. Garciano, Jumela F. Sarmiento, Mark Anthony C. Tolentino, and Juan Carlo F. Mallari

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Conclusion: Young Leaders in Mission, Edna P. Franco and Queena N. Lee-Chua

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Design of a Mobile App to Promote Understanding and Fluency in Finding the Equation of a Line, Agnes D. Garciano, Maria Alva Q. Aberin, Ma Louise Antonette N. Delaspeñas, Juan Carlo F. Mallari, Jumela F. Sarmiento, Mark Anthony C. Tolentino, and Debbie Marie B. Verzosa

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Practice Through Play Using Mobile Technology, Agnes D. Garciano, Debbie Marie B. Verzosa, Ma Louise Antonette N. De Las Peñas, Maria Alva Q. Aberin, Juan Carlo F. Mallari, Jumela F. Sarmiento, and Mark Anthony C. Tolentino

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On the Rainbow Mean Indexes of Caterpillars, Agnes Garciano, Reginaldo M. Marcelo, Mari-Jo P. Ruiz, and Mark Anthony C. Tolentino

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A Systems Thinking Approach to E-Learning on Climate Change: Capacity-Building for Junior High School Teachers in the Philippines, John Trixstan Santos Ignacio, Charlotte Kendra Z. Gotangco, and Queena N. Lee-Chua

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Development of an e-Learning Module Integrating Systems Thinking for Climate Change, John Trixstan S. Ignacio, Charlotte Kendra Z. Gotangco, and Queena N. Lee-Chua

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Revealing Causal Graph Structure in Pigeon Flocks Using Attentions in Temporal ConvNet, Jimson Paulo Layacan, Aengus Martin Donaire, Harvey Felipe, and Clark Kendrick Go

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Morphing Tilings of the Plane into Tilings of Surfaces, Mark Loyola and Ma. Louise Antonette De las Penas

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Sigma Chromatic Number of the Middle Graph of Some General Families of Trees of Height 2, Jay R.A. Manamtam, Agnes D. Garciano, and Mark Anthony C. Tolentino

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Integrating Computational Thinking With Abstraction In Context: A Project Proposal, Theresa B. Probadora and Angela Fatima H. Guzon

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A Mathematical App for the Conceptual Understanding of Area and Perimeter, Jumela F. Sarmiento, Debbie Marie B. Verzosa, Maria Alva Q. Aberin, Ma. Louise Antonette De las Penas, Agnes D. Garciano, Juan Carlo F. Mallari, and Mark Anthony C. Tolentino

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The Pancake Graph of Order 10 Is 4-Colorable, Renzo Roel Perez Tan, Aldrich Ellis Catapang Asuncion, Brian Godwin Sy Lim, Mate Soos, and Kazushi Ikeda

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The Set Chromatic Numbers of the Middle Graph of Tree Families, Mark Anthony C. Tolentino and Gerone Russel J. Eugenio

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On the Set Chromatic Number of the Middle Graph of Extended Stars and Related Tree Families, Mark Anthony C. Tolentino and Gerone Russel J. Eugenio

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Technological Tools for the Teaching and Learning of Statistics, Mark Anthony C. Tolentino, Juan Carlo F. Mallari, Maria Alva Q. Aberin, Ma. Louise Antonette De las Penas, Agnes D. Garciano, Jumela F. Sarmiento, and Debbie Marie B. Verzosa

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A First-Order Stein Characterization for Absolutely Continuous Bivariate Distributions, Lester Charles A. Umali, Richard B. Eden, and Timothy Robin Y. Teng

Exploring Preservice Mathematics Teachers’ Cognitive Journey In Understanding Convergence Of Infinite Series Using Direct Comparison Test, Guinever G. Vera and Catherine P. Vistro-Yu

Submissions from 2022

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Realizations of the Abstract Regular H3 Polyhedra, Jonn Angel L. Aranas and Mark L. Loyola

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Realizations of the abstract regular H3 polyhedra, Jonn Angel L. Aranas and Mark L. Loyola

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Recursive Linear Bounds for the Vertex Chromatic Number of the Pancake Graph, Aldrich Ellis C. Asuncion, Renzo Roel P. Tan, Christian Chan Shio, and Kazushi Ikeda

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Pre-service secondary mathematics teachers' definitions of mathematics terms in their video-lesson presentations: A deductive content analysis, Art Walden A. Dejoras and Catherine P. Vistro-Uy

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Policy-Driven Mathematical Modeling for COVID-19 Pandemic Response in the Philippines, Elvira P. De Lara-Tuprio, Carlo Delfin S. Estadilla, Jay Michael R. Macalalag, Timothy Robin Y. Teng, Joshua Uyheng, Kennedy E. Espina, Christian E. Pulmano, Ma. Regina Justina E. Estuar, and Raymond Francis R. Sarmiento

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Economic Losses From COVID-19 Cases in the Philippines: A Dynamic Model of Health and Economic Policy Trade-Offs, Elvira P. De Lara-Tuprio, Ma. Regina Justina E. Estuar, Joselito T. Sescon, Cymon Kayle Lubangco, Rolly Czar Joseph T. Castillo, Timothy Robin Y. Teng, Lenard Paulo V. Tamayo, Jay Michael R. Macalalag, and Gerome M. Vedeja

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Deployment of Mathematical Resources to a Philippine High School through a Community LTE Network, Ma. Louise Antonette N. De Las Peñas, Maria Alva Q. Aberin, Agnes Garciano, Juan Carlo F. Mallari, Jumela F. Sarmiento, Mark Anthony C. Tolentino, and Debbie Marie Verzosa

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The Geometric Dream Weaves of the T’boli, Ma. Louise Antonette N. De Las Peñas and Mark D. Tomenes

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Phase space quantum mechanics via frame quantization on finite groups, Francis D. Delloro and Job A. Nable

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Mixing properties and entropy bounds of a family of Pisot random substitutions, Giovanni B. Escolano, Neil Mañibo, and Eden Delight Miro

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Development of an Explicit Agent-Based Simulation Toolkit for Opening of Schools: An Implementation of COMOKIT for Universities in the Philippines, Ma. Regina Justina E. Estuar, Roland P. Abao, Zachary Pangan, Lenard Paulo V. Tamayo, Elvira P. De Lara-Tuprio, Timothy Robin Y. Teng, and Rey C. Rodrigueza

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Joins of Paths and Cycles of Equal Order With Sigma Chromatic Number 2, Agnes D. Garciano, Maria Czarina T. Lagura, and Reginaldo M. Marcelo

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Crosslinguistic Transfer of Mathematical Knowledge among Chinese-Filipino Students, Lester Hao and Romina Ann S. Yap

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COVID-19 collaborative modelling for policy response in the Philippines, Malaysia and Vietnam, Angus Hughes, Romain Ragonnet, Pavithra Jayasundara, Hoang-Anh Ngo, Elvira P. De Lara-Tuprio, Ma. Regina Justina Estuar, Timothy Robin Y. Teng, Law Kian Boon, Kalaiarasu M. Peariasamy, Zhuo-Lin Chong, Izzuna Mudla M. Ghazali, Greg J. Fox, Thu-Anh Nguyen, Linh-Vi Le, Milinda Abayawardana B. Eng, David Shipman, Emma S. McBryde, Michael T. Meehan, Jamie M. Caldwell, and James M. Trauer