How teachers think about the role of digital technologies in student assessment in mathematics

This study concerns teachers’ use of digital technologies in student assessment, and how the learning that is developed through the use of technology in mathematics can be evaluated. Nowadays math teachers use digital technologies in their teaching, but not in student assessment. The activities carried out with technology are seen as ‘extra-curricular’ (by both teachers and students), thus students do not learn what they can do in mathematics with digital technologies. I was interested in knowing the reasons teachers do not use digital technology to assess students’ competencies, and what they would need to be able to design innovative and appropriate tasks to assess students’ learning through digital technology. This dissertation is built on two main components: teachers and task design. I analyze teachers’ practices involving digital technologies with Ruthven’s Structuring Features of Classroom Practice, and what relation these practices have to the types of assessment they use. I study the kinds of assessment tasks teachers design with a DGE (Dynamic Geometry Environment), using Laborde’s categorization of DGE tasks. I consider the competencies teachers aim to assess with these tasks, and how their goals relate to the learning outcomes of the curriculum. This study also develops new directions in finding how to design suitable tasks for student mathematical assessment in a DGE, and it is driven by the desire to know what kinds of questions teachers might be more interested in using. I investigate the kinds of technology-based assessment tasks teachers value, and the type of feedback they give to students. Finally, I point out that the curriculum should include a range of mathematical and technological competencies that involve the use of digital technologies in mathematics, and I evaluate the possibility to take advantage of technology feedback to allow students to continue learning while they are taking a test.

Intuizione e visualizzazione in matematica con particolare riferimento a Felix Klein

Questo lavoro trae spunto da un rinnovato interesse per l’«intuizione» e il «pensiero visivo» in matematica, e intende offrire un contributo alla discussione contemporanea su tali questioni attraverso lo studio del caso storico di Felix Klein. Dopo una breve ricognizione di alcuni dei saggi più significativi al riguardo, provenienti sia dalla filosofia della matematica, sia dalla pedagogia, dalle neuroscienze e dalle scienze cognitive, l’attenzione si concentra sulla concezione epistemologia di Klein, con particolare riferimento al suo uso del concetto di ‘intuizione’. Dai suoi lavori e dalla sua riflessione critica si ricavano non solo considerazioni illuminanti sulla fecondità di un approccio «visivo», ma argomenti convincenti a sostegno del ruolo cruciale dell’intuizione in matematica.

Enhanced financial literacy through financial education and its impact on financial behaviour

This dissertation aims to contribute to the ongoing discourse on the effect an enhanced financial literacy, through financial education, has on financial behaviour. We posit that financial literacy is enhanced through financial education courses, but it also significantly impacts the financial behaviour of individuals. Moreover, we argue that improved financial literacy plays a significant role in mitigating behavioural biases and an asset price bubble. Chapter 1 analyzes the impact of a financial education course in enhancing financial literacy in a high- school context. Students at specific schools in Tirana, Albania, are delivered a financial education course, which lasts one academic year. To understand the impact of this financial education course in enhancing financial literacy, PISA (2012) questionnaire on financial literacy is delivered to the students before and after the course is delivered. Chapter 2 analysis the impact of financial literacy in mitigating behavioural biases. We focus on the impact that enhanced financial literacy through the financial education course and financial education plays in reducing the propensity to mental accounting bias. Chapter 3 investigates how financial literacy affects the propensity to an asset price bubble occurrence. We posit that enhanced financial literacy through financial education reduces the probability of an asset price bubble occurrence. We find that financial literacy enhanced through financial education has a significant impact in the financial behaviour of the individuals.