432SM - TECHNOLOGY IN MATHEMATICS EDUCATION 2023
Section | Name | Description |
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WEBINAR - 16 novembre - Per Contare - LOCANDINA | ||
Course' s Syllabus | ||
INDICAZIONI NAZIONALI | Matematica per la Scuola Secondaria di Primo grado |
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LINEE GUIDA | Matematica per le Scuole Secondarie di Secondo Grado |
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PROGRAMMAZIONE CURRICOLARE - SCUOLA SECONDARIA DI PRIMO GRADO | ||
Educare alla “matematizzazione e modellizzazione” attraverso l’uso delle rappresentazioni semiotiche nella scuola media | Nestola, M. G. C. (2023). Educare alla “matematizzazione e modellizzazione” attraverso l’uso delle rappresentazioni semiotiche nella scuola media. Didattica Della Matematica. Dalla Ricerca Alle Pratiche d’aula, (13), 135 - 156. |
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WebQuest and Gamification | Math WebQuests Examples | |
Math WebQuests for 6th grade | ||
Teachers' Resources for Math Web Quests | ||
A Quest for Knowledge: Mathematical Webquests for the High School Classroom | Davis, Laura Louise, "A Quest for Knowledge: Mathematical Webquests for the High School Classroom" (2002). Chancellor’s Honors Program Projects. |
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Gamification Trend in Students’ Mathematics Learning Through Systematic Literature Review | Yan, L. L. L., & Matore, M. E. @ E. M. (2023). Gamification Trend in Students’ Mathematics Learning Through Systematic Literature Review. International Journal of Academic Research in Progressive Education and Development, 12(1), 433–461. |
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Lecture 22 - 21/12/23 | SCRATCH EXAMPLES | |
Getting started with Scratch 3.0 | ||
Assessment of Scratch Programming Language as a Didactic Tool to Teach Functions | QuevedoGutiérrez, E. & ZapateraLlinares, A. (2021). Assessment of Scratch Programming Language as a Didactic Tool to Teach Functions. Educ.Sci., 11, 499 |
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Computational thinking and mathematics using Scratch: an experiment with sixth-grade students | José Antonio Rodríguez-Martínez, José Antonio González-Calero & José Manuel Sáez-López (2020). Computational thinking and mathematics using Scratch: an experiment with sixth-grade students, Interactive Learning Environments, 28:3, pp 316-327 |
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Girls Build Excitement for Math from Scratch | Julie M. Amador, & Terence Soule. (2015). Girls Build Excitement for Math from Scratch. Mathematics Teaching in the Middle School, 20(7), 408–415. |
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Lecture 20 - 19/12/23 | Lecture 20 - From Meme to Virtual Reality | |
Life on Math Meme | ||
#lifeonmath-MEME GENERATOR REPOSITORY | ||
Meme Generator | ||
“How to meme it”: reverse engineering the creative process of mathematical Internet memes | Bini, G., Bikner-Ahsbahs, A. & Robutti, O. (2023). “How to meme it”: reverse engineering the creative process of mathematical Internet memes. Educ Stud Math 112, 141–174 |
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Maths in the time of social media: conceptualizing the Internet phenomenon of mathematical memes | Giulia Bini, Ornella Robutti & Angelika Bikner-Ahsbahs (2022) Maths in the time of social media: conceptualizing the Internet phenomenon of mathematical memes, International Journal of Mathematical Education in Science and Technology, 53:6, 1257-1296 |
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Social, Strutturale e Specializzato: tre significati per comprendere, studiare e utilizzare in classe i meme matematici | Bini, G. (2023). Social, Strutturale e Specializzato: tre significati per comprendere, studiare e utilizzare in classe i meme matematici. Didattica Della Matematica. Dalla Ricerca Alle Pratiche d’aula, (14), 9 - 29. https://doi.org/10.33683/ddm.23.14.1 |
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COMPRENDERE, CREARE E UTILIZZARE IN CLASSE I MEME MATEMATICI | Bini G. & Montagnani M. (2023), COMPRENDERE, CREARE E UTILIZZARE IN CLASSE I MEME MATEMATICI, Atti del IX Convegno Nazionale di Didattica della Fisica e della Matematica DI.FI.MA. 2019. Torino, 9-10-11 ottobre 2019 - Liceo «M. D’Azeglio», pp- 339- 346 |
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MathMeme Cards | ||
Examples - High schools | ||
Examples - Middle Schools | ||
Merge CUBE - Augmented Reality | ||
Merge App - Educational | ||
GeoGebra Augmented Reality | ||
HP Reveal - Augmented Reality for the Classroom | ||
Virtual Realities - REPOSITORY | ||
CalcVR Supplemental Materials | ||
MathWorld VR - WebVR | ||
Designing Virtual Worlds for Use in Mathematics Education: The Example of Experiential Algebra | Winn, W., & Bricken, W. (1992). Designing Virtual Worlds for Use in Mathematics Education: The Example of Experiential Algebra. Educational Technology, 32(12), 12–19. |
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Adoption of Virtual and Augmented Reality for Mathematics Education: A Scoping Review | J. W. Lai and K. H. Cheong (2022), Adoption of Virtual and Augmented Reality for Mathematics Education: A Scoping Review, IEEE Access, vol. 10, pp. 13693-13703 |
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Virtual reality and learning: Where is the pedagogy? | Fowler C. (2015), Virtual reality and learning: Where is the pedagogy, Br J Educ Technol, 46, pp. 412-422 |
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Augmented Reality for Learning Mathematics: A Systematic Literature Review | Ahmad, N. & Junaini, S. (2020). Augmented Reality for Learning Mathematics: A Systematic Literature Review. International Journal of Emerging Technologies in Learning (iJET), 15(16), 106-122 |
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Mathematics and geometry education with collaborative augmented reality | Kaufmann H. & Schmalstieg D. (2003), Mathematics and geometry education with collaborative augmented reality, Computers & Graphics, vol. 27(3), pp 339-345 |
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Application of Web-based Immersive Virtual Reality in Mathematics Education | M. Takac (2020), Application of Web-based Immersive Virtual Reality in Mathematics Education," 2020 21th International Carpathian Control Conference (ICCC), High Tatras, Slovakia, pp. 1-6, |
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Lecture 19 - 14/12/23 | Lecture 19 - Diagnostic, Formative and Summative Assessment | |
SUMMATIVE AND FORMATIVE ASSESSMENTS EXAMPLES | ||
Formative Assessment in Mathematics | Margaret E. McIntosh (1997) Formative Assessment in Mathematics, The Clearing House, 71(2), pp. 92-96. |
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A Revision of Bloom's Taxonomy: An Overview | David R. Krathwohl (2002) A Revision of Bloom's Taxonomy: An Overview, Theory Into Practice, 41(4), pp. 212-218 |
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Not a One-Way Street: Bidirectional Relations Between Procedural and Conceptual Knowledge of Mathematics | Rittle-Johnson, B., Schneider, M. & Star, J.R. (2015). Not a One-Way Street: Bidirectional Relations Between Procedural and Conceptual Knowledge of Mathematics. Educ Psychol Rev 27, 587–597 |
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Ipsative assessment: measuring personal improvement | Martínez-Arboleda, A. (2021). Ipsative assessment: measuring personal improvement. In T. Beaven & F. Rosell-Aguilar (Eds), Innovative language pedagogy report (pp. 77-82) |
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Classroom Assessment and Educational Measurement | Brookhart, S. M., & McMillan, J. H. (2020). Classroom assessment and educational measurement (p. 296). Taylor & Francis. |
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The Effectiveness and Features of Formative Assessment in US K-12 Education: A Systematic Review | Hansol Lee, Huy Q. Chung, Yu Zhang, Jamal Abedi & Mark Warschauer (2020) The Effectiveness and Features of Formative Assessment in US K-12 Education: A Systematic Review, Applied Measurement in Education, 33(2), pp. 124-140 |
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Implementing Confidence Assessment in Low-Stakes, Formative Mathematics Assessments | Foster, C (2022). Implementing Confidence Assessment in Low-Stakes, Formative Mathematics Assessments. Int J of Sci and Math Educ 20, pp. 1411–1429 |
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Lecture 18 - 12/12/23 | Lecture 18 - Solving Integrals and Equations with Excel | |
Excel examples | ||
Lecture 16/17 - 05/12/23; 07/12/23 | Maths Outdoor with MathCityMap - Eugenia Taranto | |
MathCityMap a Catania | ||
MathCityMap a Salerno | ||
MathCityMap a Torino | ||
Lecture 15 - 30/11/23 | Lecture 15 - How do we learn Maths? | |
Learning Styles - Concepts and Evidence | Pashler, H., McDaniel, M., Rohrer, D., & Bjork, R. (2008). Learning styles: Concepts and evidence. Psychological science in the public interest, 9(3), 105-119. |
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How the body shapes the what we think | Pfeifer, R., & Bongard, J.C. (2006). How the body shapes the way we think - a new view on intelligence. |
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Digital intelligence | Adams N. B. (2004), Digital Intelligence Fostered by Technology, The Journal of Technology Studies, vol. XXX (2), 93-97, https://doi.org/10.21061/jots.v30i2.a.5 |
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The Theory of Multiple Intelligences | Gardner, H. (1987). The Theory of Multiple Intelligences. Annals of Dyslexia, 37, 19–35 |
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Seeing as Understanding: The Importance of Visual Mathematics for our Brain and Learning | Boaler, J., Chen, L., Williams, C.M., & Cordero, M. (2016). Seeing as Understanding: The Importance of Visual Mathematics for our Brain and Learning. Journal of Applied and Computational Mathematics, 5, 1-6. |
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How we learn? | Dehaene, S. (2020). How We Learn: The New Science of Education and the Brain. United Kingdom: Penguin Books Limited. |
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The art of changing the brain | Zull J. E. (2004), The Art of Changing the Brain, Educational Leadership, Vol. 62(1), 68-72 |
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Lecture 14 - 28/11/23 | Inquiry-Based Learning in Math: precalculus activities | |
Equazioni e disequazioni | ||
Materiali per lo studente - percorso equazioni e disequazioni | ||
Soluzioni percorso su equazioni e disequazioni | ||
Lecture 13 - 21/11/23 | Lecture 13 - Learning by inquiry | |
Literature review: The role of the teacher in inquiry-based education | Marjolein Dobber, Rosanne Zwart, Marijn Tanis, Bert van Oers, Literature review: The role of the teacher in inquiry-based education, Educational Research Review, Volume 22 (2017), pp 194-214, |
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Problem-based learning in Mathematics | Roh, Kyeong Hah, Problem-based learning in mathematics. ERIC Clearinghouse for Science Mathematics and Environmental Education. Technical Report (2003) |
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Disequazioni irrazionali | ||
Lecture 12 - 14/11/23 | Lecture 12 - Using 3D printer | |
Indagine risultati Piattaforma. MAthX | ||
Exploring the use of 3D printing in mathematics education: A scoping review | ||
Illustrating Mathematics with 3D printing | ||
Illustrating Mathematics using 3D printers - paper | ||
Tinkering learning in classroom: an instructional rubric for evaluating 3D printed prototype performance | Çelik, Ahmet & Özdemir, Selçuk. (2020). Tinkering learning in classroom: an instructional rubric for evaluating 3D printed prototype performance. International Journal of Technology and Design Education. 30. 10.1007/s10798-019-09512-w. |
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Thinking like Archimedes with a 3D printer | ||
Lecture 11 - 07/11/23; 09/11/23 | Lecture 11 - Digital Curricular Resources | |
Mathematics textbooks and curriculum resources as instruments for change | Rezat, S., Fan, L. & Pepin, B. Mathematics textbooks and curriculum resources as instruments for change. ZDM Mathematics Education 53, 1189–1206 (2021) |
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Worksheets Folder | ||
Book Creator | ||
Worksheet group 1 | ||
Worksheet group 2 | ||
Lecture 10 - 31/10/23 | Lecture 10 - Electronic vs paper textbook | |
Electronic vs. paper textbook presentations of the various aspects of mathematics | Usiskin, Z. Electronic vs. paper textbook presentations of the various aspects of mathematics. ZDM Mathematics Education 50, 849–861 (2018) |
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Lecture 9 - 26/10/23 | Web-resources for playing educational games | |
La Digitale - FlashCards | ||
Educaplay | ||
Create flashcards for printing with Canva | ||
H5P - resources | ||
Classmaster FlashCards player | ||
Bookwidgets - resources | ||
Interacty.me game resources | ||
Genially - games | ||
Lecture 8 - 24/10/23 | Lecture 10 - 3UV and Flash cards | |
GAME - io ho chi ha | ||
Research on Learning and Teaching Algebra | Warren, E., Trigueros, M., Ursini, S. (2016). Research on the Learning and Teaching of Algebra. In: Gutiérrez, Á., Leder, G.C., Boero, P. (eds) The Second Handbook of Research on the Psychology of Mathematics Education. SensePublishers, Rotterdam. https://doi.org/10.1007/978-94-6300-561-6_3 |
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Il Modello 3UV: uno strumento teorico a disposizione degli insegnanti di matematica | Sonia Ursini, Il Modello 3UV: uno strumento teorico a disposizione degli insegnanti di matematica, in: QuaderniCIRD, 2 (2011), pp. 59-70. |
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Lecture 7 - 19/10/23 | Lecture 7 - 19/10/23 - Relative Numbers Lab - Second Part | |
PAD COLLABORATIVE WALL | Password: algebraic_sum |
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The role of algebraic thinking in dealing with negative numbers | Vlassis, J., Demonty, I. The role of algebraic thinking in dealing with negative numbers. ZDM Mathematics Education 54, 1243–1255 (2022). https://doi.org/10.1007/s11858-022-01402-1 |
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Developing Symbol Sense for the Minus Sign | Lisa L. Lamb, Jessica Pierson Bishop, Randolph A. Philipp, Bonnie P. Schappelle, Ian Whitacre, & Mindy Lewis. (2012). Developing Symbol Sense for the Minus Sign. Mathematics Teaching in the Middle School, 18(1), 5–9. https://doi.org/10.5951/mathteacmiddscho.18.1.0005 |
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Making sense of the minus sign or becoming flexible in ‘negativity’ | Joëlle Vlassis, Making sense of the minus sign or becoming flexible in ‘negativity’, Learning and Instruction, Volume 14, Issue 5, 2004, Pages 469-484, https://doi.org/10.1016/j.learninstruc.2004.06.012. |
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Lecture 6 - 17/10/23 | Lecture 6 - 17/10/23 - Relative Numbers Lab - First Part | |
Quaderno ArAl - I numeri relativi | ||
Learning to Think Mathematically with the Number Line | Frykholm J, Learning to think mathematically with the Number Line, Published by The Math Learning Center (2010) |
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Lecture 5 - 12/10/23 | Lecture 5 - Mathematics Education Approaches - Early Algebra | |
Il progetto ArAl per un approccio relazionale all’insegnamento nell’area aritmetico-algebrica | G. Navarra (2019), Il progetto ArAl per un approccio relazionale all’insegnamento nell’area aritmetico-algebrica, Didattica della matematica. Dalla ricerca alle pratiche d'aula, v. 5, pp 70-94. |
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Implications of cognitive science research for mathematics education | Siegler, R. S. (2003). Implications of cognitive science research for mathematics education. In Kilpatrick, J., Martin, W. B., & Schifter, D. E. (Eds.), A research companion to principles and standards for school mathematics (pp. 219-233) |
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Lecture 4 - 10/10/23 | Lecture 4 - Curriculum of First Level of Secondary Education - Mathingon Laboratory | |
Collaborative WhiteBoard for Sharing Ideas | ||
Lecture 3 - 05/10/23 - PART ONE | Lecture 3 - Tasks of Teaching and Mathematical Skills p1 | |
Mathematical Skills 11 years old Maths students [...] | Hilma Halme, Jake McMullen, Cristina E. Nanu, Anna Nyman, Minna M. Hannula-Sormunen, Mathematical skills of 11-year-old children born very preterm and full-term, Journal of Experimental Child Psychology, Volume 219, 105390 (2022) https://doi.org/10.1016/j.jecp.2022.105390. |
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Integrating mathematical literacy toward mathematics teaching: the pedagogical content knowledge (PCK) of prospective math teacher in designing the learning task | Lestari, Nurcholif Diah Sri & Juniati, Dwi & Suwarsono, St. (2019). Integrating mathematical literacy toward mathematics teaching: the pedagogical content knowledge (PCK) of prospective math teacher in designing the learning task. IOP Conference Series: Earth and Environmental Science. 243. 012131. 10.1088/1755-1315/243/1/012131. |
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Content Knowledge for Teaching: What Makes It Special? | Loewenberg Ball, D., Thames, M. H., & Phelps, G. (2008). Content Knowledge for Teaching: What Makes It Special? Journal of Teacher Education, 59(5), 389-407. https://doi.org/10.1177/0022487108324554 |
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Lecture 3 - 05/10/23 - PART TWO | Lecture 3 - 6th grade Mathigon Polypad p2 | |
Understanding and promoting students’ mathematical thinking | Goos, M., Kaya, S. Understanding and promoting students’ mathematical thinking: a review of research published in ESM. Educ Stud Math 103, 7–25 (2020). https://doi.org/10.1007/s10649-019-09921-7 |
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Cognitive Technologies for Mathematics Education. | Roy D. Pea. Cognitive Technologies for Mathematics Education. A. Schoenfeld. Cognitive science and mathematics education, Hillsdale, NJ: Erlbaum, pp.89-122, (1987). |
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Polypad - Mathigon | ||
Lecture 2 - 03/10/23 | Lecture 2: Brief Research Overview | |
Survey on Maths Teachers' orientations and beliefs | ||
What Is Technological Pedagogical Content Knowledge? | Koehler, M. J., & Mishra, P. (2009). What is technological pedagogical content knowledge? Contemporary Issues in Technology and Teacher Education, 9(1), 60-70 |
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The Knowledge and Skills that Mathematics Teachers Need for ICT Integration: The Issue of Standards. | Tabach, M., Trgalová, J. (2019). The Knowledge and Skills that Mathematics Teachers Need for ICT Integration: The Issue of Standards. In: Aldon, G., Trgalová, J. (eds) Technology in Mathematics Teaching. Mathematics Education in the Digital Era, vol 13. Springer, Cham. |
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The co-construction of a mathematical and a didactical instrument | Haspekian, M. (2011). The co-construction of a mathematical and a didactical instrument. In M. Pytlak, T. Rowland, & E. Swoboda (Eds.) Proceedings of the 7th Congress of the European Society for Research in Mathematics Education (CERME7) (pp. 2298–2307). Rzeszów: University of Rzeszów. |
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Content Knowledge for Teaching: What Makes It Special? | Loewenberg Ball, D., Thames, M. H., & Phelps, G. (2008). Content Knowledge for Teaching: What Makes It Special? Journal of Teacher Education, 59(5), 389–407. https://doi.org/10.1177/0022487108324554 |
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ICT competency framework for teachers | UNESCO. (2011). ICT competency framework for teachers. Paris: United Nations Educational, Scientific and Cultural Organization and Microsoft. Retrieved December 14, 2017 |
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Mathematics Teacher TPACK Standards and Development Model | Niess, M. L., Ronau, R. N., Shafer, K. G., Driskell, S. O., Harper S. R., Johnston, C., Browning, C., Özgün-Koca, S. A., & Kersaint, G. (2009). Mathematics teacher TPACK standards and development model. Contemporary Issues in Technology and Teacher Education, 9(1), 4-24. |
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Lecture 1 - 26/09/23 | Lecture 1 - Opening lesson | |
Active learning tools improve the learning outcomes, scientific attitude and critical thinking in higher education: Experiences in an online course during the COVID-19 pandemic |