SPACE AND SHAPE

Course objectives

Know and understand some issues and problems that fall within the field of study of mathematics, physical science and nature. Learn how to look, recognize and enhance links with the sciences and their history, artefacts and places in cities. To experiment through the example lived in first person, diversified and active methods of teaching-learning, in which body and movement in the environment are also instruments of knowledge. Enhance the concrete operation linked to thinking and designing active teaching materials. Apply teaching-pedagogical knowledge in the implementation of educational projects. Empower students with respect to the co-construction of their knowledge.   Learning outcomes - Acquired knowledge: Recognizing the knowledge of scientific knowledge of artefacts and places in the city. Having had the experience of reading scientific texts (direct texts of scientists, or of history of science or of epistemological character), asking questions also in relation to the involvement of science in the history of an era, in the culture and history of societies, in gender and intercultural problems. To know and understand the methodological and didactic aspects of the proposed experiences and the activities carried out in the course, in relation to the scientific topics addressed.   Upon completion of the course the student will have an advanced knowledge of research aspects in the fields of the sciences, such as the steps from the description to the following schematization, to the quantification and research of the causes of an observed phenomenon. He will also have developed historical and epistemological knowledge in the field of science. [Descriptor of Dublin n. 1]. The skills acquired will concern a greater ability to work in a group, to formulate questions with clear language, to reflect on their own learning and their difficulties and uncertainties, to analyze the educational aspects from the point of view of different disciplines involved in educational actions and training. It will have integrated modes of use of one's own body and of one's own sensory capacities among the tools of knowing. [Descriptor of Dublin n. 2]. The transversal competences acquired concern critical and judgmental skills, enhanced by participation in reflection and laboratory activities and the ability to ask questions and use an indicative method. [Descriptor of Dublin n. 3]. The intermediate activities of the course and the final ones in the form of the "Science Stands" organized by the students autonomously, also in groups, and presented to specialists and non-special beneficiaries, will allow to use display skills, choice of questions, materials and problems relevant, also on the basis of the age of the recipients, and to put in place a posteriori evaluation capacity of the proposed actions, from a multidisciplinary point of view. [Descriptor of Dublin n. 4]. To have acquired metareflection capacity on one's own and others' way of dealing with new content and issues related to scientific disciplines, and to face uncertainties and difficulties in understanding so that the student is more able to continue the study independently in the course of the life and deepen the scientific and specific themes of design in education and critically address, with the perspective of complexity, materials related to scientific disciplines. [Descriptor of Dublin n. 5].   Learning outcomes - Acquired skills: students who have passed the exam will be able to conceive, plan and evaluate educational interventions and projects through museum visits and in significant anthropic and nature spaces, and to select and discard relevant information to the topics studied in formal and informal contexts

Channel 1
ANNALISA CUSI Lecturers' profile

Program - Frequency - Exams

Course program
Theoretical frameworks for the analysis of teaching-learning processes in geometry and arithmetics/early algebra and for reflection on the role of digital resources in supporting cognitive and metacognitive processes in the teaching-learning of mathematics. Teaching methods: laboratorial approach to the teaching of Mathematics and use of resources (digital or not) for teaching, with a focus on the role of the teacher. Argumentation and proof in mathematics, with a focus on geometry and arithmetics/early algebra. Didactic elements for the teaching pf geometry and arithmetics/early algebra.
Prerequisites
The mathematical contents introduced at lower and upper secondary school level.
Books
The slides of the lessons and teaching materials will be shared on the e-learning page of the course.
Frequency
Course attendance is optional, but recommended.
Exam mode
The assessment is carried out by means of an oral examination, aimed at certifying knowledge of the main aspects covered during the course and the skills developed in relation to the ability to analyse teaching processes and design teaching resources. Both attending and non-attending students will be required to work on the design of a teaching laboratory or teaching resources. Sufficient knowledge of the content covered and a correspondingly sufficient competence in the analysis of teaching processes and the design of teaching resources is required for passing the examination with a pass mark (18/30). In order to achieve a mark of 30/30 with distinction, the student must also demonstrate excellent knowledge of the topics covered in the course and the ability to refer to this knowledge in order to develop in-depth reflections on these topics and for the design of resources to support teaching processes.
Lesson mode
During the course, dialogue-based lessons will alternate with group work and collective discussions. The students will also be involved in the reading of research papers in Mathematics Education to reflect on the relationship between theory and practice in the teaching of Mathematics, in the design of laboratorial activities and of teaching resources, which will be discussed during the lessons. Students will find the slides and teaching materials useful for exam preparation on the e-learning platform.
  • Lesson code1031827
  • Academic year2025/2026
  • CourseMathematics
  • CurriculumDidattica e storia
  • Year2nd year
  • Semester1st semester
  • SSDMAT/04
  • CFU6