Using the onto-semiotic approach to identify and analyze mathematical meaning when transiting between different coordinate systems in a multivariate context M Montiel, MR Wilhelmi, D Vidakovic, I Elstak Educational Studies in Mathematics 72, 139-160, 2009 | 72 | 2009 |
Relationship between students’ understanding of functions in Cartesian and polar coordinate systems M Montiel, D Vidakovic, T Kabael Investigations in Mathematics Learning 1 (2), 52-70, 2008 | 51 | 2008 |
Testing cognitive theories by creating a pattern-based probabilistic algorithm for melody and rhythm in jazz improvisation. M Norgaard, J Spencer, M Montiel Psychomusicology: Music, Mind, and Brain 23 (4), 243, 2013 | 31 | 2013 |
Music in the pedagogy of mathematics M Montiel, F Gómez Journal of Mathematics and Music 8 (2), 151-166, 2014 | 25 | 2014 |
Mathematical music theory: Algebraic, geometric, combinatorial, topological and applied approaches to understanding musical phenomena M Montiel, RW Peck World Scientific Publishing, 2018 | 12 | 2018 |
Vectors, change of basis and matrix representation: onto-semiotic approach in the analysis of creating meaning M Montiel, MR Wilhelmi, D Vidakovic, I Elstak International Journal of Mathematical Education in Science and Technology 43 …, 2012 | 12 | 2012 |
An Introduction to Group Theory. Applications to Mathematical Music Theory F Aceff-Sánchez, OA Agustín-Aquino, E Lluis-Puebla, M Montiel, ... Publicaciones Electrónicas Sociedad Matemática Mexicana 15, 2012 | 12 | 2012 |
Teaching modeling in algebra and geometry using musical rhythms: Teachers’ perceptions on effectiveness I Chahine, M Montiel Journal of Mathematics Education 8 (2), 126-138, 2015 | 11 | 2015 |
Visualizing and sonifying mathematical music theory with software applications: Implications of computer-based models for practice and education C Hilton, A Calilhanna, AJ Milne, M Montiel, F Gómez Theoretical and Practical Pedagogy of Mathematical Music Theory: Music for …, 2018 | 9 | 2018 |
Advanced Mathematics Online: Assessing Particularities in the Online Delivery of a Second Linear Algebra Course. M Montiel, U Bhatti Online Journal of Distance Learning Administration 13 (2), n2, 2010 | 9 | 2010 |
Integrated music and math projects in secondary education MR Wilhelmi, M Montiel Mathematics and Computation in Music: 7th International Conference, MCM 2019 …, 2019 | 6 | 2019 |
Theoretical and Practical Pedagogy of Mathematical Music Theory: Music for Mathematics and Mathematics for Music, from School to Postgraduate Levels M Montiel, F Gómez World Scientific, 2018 | 6 | 2018 |
Using the onto-semiotic approach to identify and analyze mathematical meaning in a multivariate context M Montiel, MR Wilhelmi, D Vidakovic, I Elstak CERME 6–WORKING GROUP 12, 2286, 2010 | 6 | 2010 |
Glarean’s Dodecachordon Revisited T Noll, M Montiel International Conference on Mathematics and Computation in Music, 151-166, 2013 | 5 | 2013 |
Chords not required: Incorporating horizontal and vertical aspects independently in a computer improvisation algorithm M Norgaard, M Montiel, J Spencer | 5 | 2013 |
Analysis of dimensional analogy by means of different theoretical perspectives V Font, M Montiel, D Vidakovic, MR Wilhelmi Progress in education 19, 39-76, 2011 | 4 | 2011 |
Una introducción a la Teoría de Grupos con aplicaciones en la Teoría Matemática de la Música OA Agustín-Aquino, J du Plessis, E Lluis-Puebla, M Montiel CDMX: Sociedad Mexicana de Matemáticas, 2009 | 4 | 2009 |
Mathematics and Computation in Music 8th International Conference, MCM 2022, Atlanta, GA, USA, June 21–24, 2022, Proceedings M Montiel, M Agustín-Aquino, F Gómez, J Kastine, E Lluis-Puebla, ... Mathematics and Computation in Music 8th International Conference, MCM 2022 …, 2022 | 3 | 2022 |
Mathematics and Computation in Music: 7th International Conference, MCM 2019, Madrid, Spain, June 18–21, 2019, Proceedings M Montiel, F Gomez-Martin, OA Agustín-Aquino Springer, 2019 | 3 | 2019 |
Muthsics for clueless: an experiment with Euclidean rhythms MR Wilhelmi, M Montiel Theoretical and Practical Pedagogy of Mathematical Music Theory, Music for …, 2018 | 3 | 2018 |