Research and Development

Category: Mathematics

Adaptive Instructional Systems and Recreational Mathematics

Introduction Mathematics is the queen of the sciences and vital to nations’ education objectives. How can it be made more enjoyable and fun for learners of all ages? Comparative Mathematics Curriculum In the United States, while mathematics curriculum varies across schools and districts, traditionally, high-school mathematics has been separated by topics, each topic typically lasting […]

Neurosymbolic Learning and Reasoning

Introduction Neural-symbolic Learning and Reasoning: A Survey and Interpretation by Tarek R. Besold, Artur S. d'Avila Garcez, Sebastian Bader, Howard Bowman, Pedro Domingos, Pascal Hitzler, Kai-Uwe Kühnberger, Luis C. Lamb, Daniel Lowd, Priscila M. V. Lima, Leo de Penning, Gadi Pinkas, Hoifung Poon and Gerson Zaverucha, Dimensions of Neural-symbolic Integration - A Structured Survey by […]

Artificial Intelligence and Mathematics

Introduction An Essay on the Psychology of Invention in the Mathematical Field by Jacques Hadamard, The Psychology of Advanced Mathematical Thinking by David Tall, What is Mathematical Thinking by Robert J. Sternberg, Mathematical Thinking and Learning by Herbert P. Ginsburg, Joanna Cannon, Janet Eisenband and Sandra Pappas, Neuroscience of Mathematical Cognitive Development: From Infancy Through […]

Modeling the Contexts of Actions

Cognitive Narratology Cognitive Narratology by David Herman, Psychonarratology: Foundations for the Empirical Study of Literary Response by Marisa Bortolussi and Peter Dixon, What Can Narratives Tell Us About the Neural Bases of Human Memory? by Hongmi Lee, Buddhika Bellana and Janice Chen and Working Memory and Situation Model Updating by Gabriel A. Radvansky and David […]

Modeling Combinations of Actions

Pharmacology Theoretical Basis, Experimental Design, and Computerized Simulation of Synergism and Antagonism in Drug Combination Studies by Ting-Chao Chou and Drug Combinations: Mathematical Modeling and Networking Methods by Vahideh Vakil and Wade Trappe. GlossaryPharmacodynamicsPharmacology Public Health In Search of Synergy: Strategies for Combining Interventions at Multiple Levels by Bryan J. Weiner, Megan A. Lewis, Steven […]

The Assessment of Language and the Evaluation of Natural Language Generation

Assessing Mathematics Exercises and Proofs Automatic Assessment of Mathematics Exercises: Experiences and Future Prospects by Antti Rasila, Matti Harjula and Kai Zenger, Automatic Assessment of Problem-solving Skills in Mathematics by Cliff E. Beevers and Jane S. Paterson, Computer Aided Assessment of Mathematics by Chris Sangwin and Lurch: A Word Processor That Can Grade Students' Proofs […]

Language and Mathematics

Language and Mathematics Education Language and Mathematical Education by John L. Austin and Albert G. Howson, Language in Mathematics Teaching and Learning by Mary J. Schleppegrell, A Morphology of Teacher Discourse in the Mathematics Classroom by Libby Knott, Bharath Sriraman and Irv Jacob, The Teacher's Discourse Moves: A Framework for Analyzing Discourse in Mathematics Classrooms […]

Mathematics Educational Technology and Multimodal User Interfaces

Multimodal Input and Mathematics Semi-synchronous Speech and Pen Input by Yasushi Watanabe, Kenji Iwata, Ryuta Nakagawa, Koichi Shinoda and Sadaoki Furui, Hamex - a Handwritten and Audio Dataset of Mathematical Expressions by Solen Quiniou, Harold Mouchère, Sebastián Peña Saldarriaga, Christian Viard-Gaudin, Emmanuel Morin, Simon Petitrenaud and Sofiane Medjkoune, Multimodal Mathematical Expressions Recognition: Case of Speech […]

Mathematical Creativity, Analogical Reasoning and Visualization

Mathematical Creativity Mathematical Creation by Henri Poincaré, An Essay on the Psychology of Invention in the Mathematical Field by Jacques Hadamard, The State of Art in Mathematical Creativity by Erkki Pehkonen, The Characteristics of Mathematical Creativity by Bharath Sriraman, Creativity, Cognitive Mechanisms, and Logic by Ahmed Abdel-Fattah, Tarek Besold and Kai-Uwe Kühnberger, What Is Mathematical […]

Intelligent Tutoring Systems and Mathematics

Mathematics Artificial Intelligence and Tutoring Systems: Computational and Cognitive Approaches to the Communication of Knowledge by Etienne Wenger, Cognitive Tutoring in Mathematics Based on Assertion Level Reasoning and Proof Strategies by Serge Autexier, Dominik Dietrich and Marvin Schiller, Cognitive Tutor: Applied Research in Mathematics Education by Steven Ritter, John R. Anderson, Kenneth R. Koedinger and […]