Section Name Description
File WEBINAR - 16 novembre - Per Contare - LOCANDINA
File Course' s Syllabus
File INDICAZIONI NAZIONALI

Matematica per la Scuola Secondaria di Primo grado

File LINEE GUIDA

Matematica per le Scuole Secondarie di Secondo Grado

Folder PROGRAMMAZIONE CURRICOLARE - SCUOLA SECONDARIA DI PRIMO GRADO
URL 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.

WebQuest and Gamification URL Math WebQuests Examples
URL Math WebQuests for 6th grade
URL Teachers' Resources for Math Web Quests
File 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.

File 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.

Lecture 22 - 21/12/23 Folder SCRATCH EXAMPLES
File Getting started with Scratch 3.0
File 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

File 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


File 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 School20(7), 408–415.

Lecture 20 - 19/12/23 File Lecture 20 - From Meme to Virtual Reality
URL Life on Math Meme
URL #lifeonmath-MEME GENERATOR REPOSITORY
URL Meme Generator
File “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 

File 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

File 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

File 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


File MathMeme Cards
URL Examples - High schools
URL Examples - Middle Schools
File Merge CUBE - Augmented Reality
URL Merge App - Educational
URL GeoGebra Augmented Reality
URL HP Reveal - Augmented Reality for the Classroom
URL Virtual Realities - REPOSITORY
URL CalcVR Supplemental Materials
URL MathWorld VR - WebVR
File 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 Technology32(12), 12–19.

File 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

File 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

File 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

File 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

File 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,

Lecture 19 - 14/12/23 File Lecture 19 - Diagnostic, Formative and Summative Assessment
Folder SUMMATIVE AND FORMATIVE ASSESSMENTS EXAMPLES
File Formative Assessment in Mathematics

Margaret E. McIntosh (1997) Formative Assessment in Mathematics, The Clearing House, 71(2), pp. 92-96.


File 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


File 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 

File 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)

File Classroom Assessment and Educational Measurement

Brookhart, S. M., & McMillan, J. H. (2020). Classroom assessment and educational measurement (p. 296). Taylor & Francis.

File 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

File 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

Lecture 18 - 12/12/23 File Lecture 18 - Solving Integrals and Equations with Excel
File Excel examples
Lecture 16/17 - 05/12/23; 07/12/23 File Maths Outdoor with MathCityMap - Eugenia Taranto
File MathCityMap a Catania
File MathCityMap a Salerno
File MathCityMap a Torino
Lecture 15 - 30/11/23 File Lecture 15 - How do we learn Maths?
File Learning Styles - Concepts and Evidence

Pashler, H., McDaniel, M., Rohrer, D., & Bjork, R. (2008). Learning styles: Concepts and evidence. Psychological science in the public interest9(3), 105-119.

File 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

File 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

File The Theory of Multiple Intelligences

Gardner, H. (1987). The Theory of Multiple Intelligences. Annals of Dyslexia37, 19–35

File 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.

File How we learn?

Dehaene, S. (2020). How We Learn: The New Science of Education and the Brain. United Kingdom: Penguin Books Limited.

File The art of changing the brain

Zull J. E. (2004), The Art of Changing the Brain, Educational LeadershipVol. 62(1), 68-72 

Lecture 14 - 28/11/23 File Inquiry-Based Learning in Math: precalculus activities
File Equazioni e disequazioni
Folder Materiali per lo studente - percorso equazioni e disequazioni
Folder Soluzioni percorso su equazioni e disequazioni
Lecture 13 - 21/11/23 File Lecture 13 - Learning by inquiry
File 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 ReviewVolume 22 (2017), pp 194-214,

File Problem-based learning in Mathematics

Roh, Kyeong Hah, Problem-based learning in mathematics. ERIC Clearinghouse for Science Mathematics and Environmental Education. Technical Report (2003)

File Disequazioni irrazionali
Lecture 12 - 14/11/23 File Lecture 12 - Using 3D printer
File Indagine risultati Piattaforma. MAthX
File Exploring the use of 3D printing in mathematics education: A scoping review
File Illustrating Mathematics with 3D printing
URL Illustrating Mathematics using 3D printers - paper
File 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. 

File Thinking like Archimedes with a 3D printer
Lecture 11 - 07/11/23; 09/11/23 File Lecture 11 - Digital Curricular Resources
File 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)

URL Worksheets Folder
URL Book Creator
File Worksheet group 1
File Worksheet group 2
Lecture 10 - 31/10/23 File Lecture 10 - Electronic vs paper textbook
File 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)

Lecture 9 - 26/10/23 File Web-resources for playing educational games
URL La Digitale - FlashCards
URL Educaplay
URL Create flashcards for printing with Canva
URL H5P - resources
URL Classmaster FlashCards player
URL Bookwidgets - resources
URL Interacty.me game resources
URL Genially - games
Lecture 8 - 24/10/23 File Lecture 10 - 3UV and Flash cards
File GAME - io ho chi ha
File 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

File 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.

Lecture 7 - 19/10/23 File Lecture 7 - 19/10/23 - Relative Numbers Lab - Second Part
URL PAD COLLABORATIVE WALL

Password: algebraic_sum

File 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

File 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 School18(1), 5–9. https://doi.org/10.5951/mathteacmiddscho.18.1.0005

File 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 InstructionVolume 14, Issue 5, 2004, Pages 469-484, https://doi.org/10.1016/j.learninstruc.2004.06.012.

Lecture 6 - 17/10/23 File Lecture 6 - 17/10/23 - Relative Numbers Lab - First Part
File Quaderno ArAl - I numeri relativi
File Learning to Think Mathematically with the Number Line

Frykholm J, Learning to think mathematically with the Number LinePublished by The Math Learning Center (2010)

Lecture 5 - 12/10/23 File Lecture 5 - Mathematics Education Approaches - Early Algebra
File 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.

File 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)


Lecture 4 - 10/10/23 File Lecture 4 - Curriculum of First Level of Secondary Education - Mathingon Laboratory
URL Collaborative WhiteBoard for Sharing Ideas
Lecture 3 - 05/10/23 - PART ONE File Lecture 3 - Tasks of Teaching and Mathematical Skills p1
File 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.

File 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. 

File 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 Education59(5), 389-407. https://doi.org/10.1177/0022487108324554

Lecture 3 - 05/10/23 - PART TWO File Lecture 3 - 6th grade Mathigon Polypad p2
File Understanding and promoting students’ mathematical thinking

Goos, M., Kaya, S. Understanding and promoting students’ mathematical thinking: a review of research published in ESMEduc Stud Math 103, 7–25 (2020). https://doi.org/10.1007/s10649-019-09921-7

File 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).


URL Polypad - Mathigon
Lecture 2 - 03/10/23 File Lecture 2: Brief Research Overview
URL Survey on Maths Teachers' orientations and beliefs
File 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


URL 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.

File 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.


File 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

File 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


File 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.


Lecture 1 - 26/09/23 File Lecture 1 - Opening lesson
URL 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