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Libera Università di Bolzano

Didattica della matematica e delle scienze naturali 2 - approfondimenti tematici

Semestre 1 · 12422 · Corso di laurea magistrale a ciclo unico in Scienze della Formazione primaria - sezione in lingua tedesca · 10CFU · DE


See the individual course modules.

Docenti: Michael Gaidoschik, Michael Frischmann, Angelika Pahl, Monika Lanthaler

Ore didattica frontale: 70
Ore di laboratorio: 50
Obbligo di frequenza: In accordance with the regulation

Argomenti dell'insegnamento
See the individual course modules.

Insegnamenti propedeutici
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Modalità di insegnamento
Lectures and laboratories (for details, see the descriptions of the individual modules)

Obiettivi formativi
Knowledge - the subject-specific and subject-didactic foundations, in particular the subject-immanent structures and cross-age developmental lines that must be observed in order to support children's learning processes in maths (in the content areas of fractions and decimals, space and shape or plane and space; quantities including time; factual arithmetic; data and predictions, taking into account the promotion of general, process-related mathematical competences as well as in physics from kindergarten to secondary school. - the role, significance and limits of scientific and mathematical approaches to solving factual problems - of application tasks that are suitable for thematising the content addressed in inclusive kindergartens and primary schools, combined with current didactic concepts for dealing with them in kindergarten and primary school Skills - to recognise and use the potential of games and everyday situations in kindergarten for mathematical and scientific learning in the content areas addressed in the module - to analyse, plan and design learning-promoting support for learning processes in kindergarten and school lessons in mathematics (in the content areas "Recognising temporal order and understanding and using time" and "Quantities", "Experiencing, understanding and using time") in a technically and didactically sound manner. "Quantities", "Experiencing, describing and measuring space and form" and "Plane and space", "Arithmetic", "Data and predictions" and "Fractions and decimals") and physics on the basis of the framework guidelines for kindergarten and primary school in South Tyrol with a view to the interdisciplinarity required in kindergarten and primary school - for the qualitative, process-orientated recording of learning levels and for dealing with heterogeneity in a way that promotes learning in the content areas covered in the module Expected learning outcomes and competences: Knowledge and understanding Basic specialist knowledge and fundamental insights into elementary mathematical and scientific structures and interrelationships in the content areas covered, with consistent consideration of the general mathematical skills of problem solving, communication, representation, argumentation and modelling/mathematics Knowing and understanding current development models for the acquisition of competences in the content areas covered Knowing and understanding the educational goals of the framework guidelines for kindergarten and primary school related to the content areas covered as well as basic didactic concepts that are suitable for achieving them Application of knowledge and understanding Expertise in solving tasks relevant to kindergarten, primary and secondary school in the content areas covered in different ways and in justifying the correctness of such different solutions Expertise in planning, implementing and evaluating qualitative, process-oriented learning assessments in the content areas covered Expertise in planning settings that promote learning in the content areas covered, taking into account heterogeneous learning requirements Judgement Competence in the technically and didactically sound assessment of the potential of everyday and play situations for maths and science education in kindergarten as well as of tasks, exercise forms and learning environments as well as methods and didactic materials for the further development of maths and science skills in primary school with reference to the content covered Communication The ability to present the mathematical and scientific content and interrelationships dealt with precisely and appropriately to the target audience in both specialised and everyday language Competence to present one's own thought processes and solution strategies in an intersubjectively comprehensible way Knowledge of the importance of linguistic competences for mathematical and scientific learning in the content areas covered and of suitable forms of promoting these in kindergarten and primary school Learning strategies Further development of cross-content and content-specific problem-solving strategies Further development of the ability to independently acquire and deepen subject-specific and didactic content

Modalità d'esame
Comprehensive final written examination (3 hours) on the mathematical and scientific topics covered in the two lectures of the module. The written examination consists of one part each on the mathematical and scientific topics.

Criteri di valutazione
For a positive completion of the course, all four sub-courses must be completed at least positively. If this condition is met, the performance in the two laboratories or the two partial examinations of the written examination will be taken into account in the overall assessment in accordance with the proportion of these partial courses in the total number of credit points awarded for the course. The performance assessment of the written lecture examination is based on correctness of content and language, accuracy and clarity, in particular in the application of the content taught in the course when working on the examination tasks (transfer performance); correct use of technical language; reference to technical literature; depth and comprehensibility of the required reflection and argumentation. The basis for performance assessment in the laboratories is written work based on assignments, which are published in writing at the beginning of the semester on the learning platform set up for the laboratories and must be uploaded to the associated OLE learning platform within the specified deadline, as well as participation in the laboratory sessions. The criteria for the assessment of the written assignments are the same as those for the written lecture examinations. In the event of a negative assessment of the course, any positively assessed partial examinations will be credited the next time you take the examination. Please note, however, that a negative assessment will also be included in the count of examination attempts in this case. According to the examination regulations, three attempts without passing will result in a block for three examination dates.

Bibliografia obbligatoria

See the references for required readings in the descriptions of the individual modules.



Bibliografia facoltativa

See the references for further reading in the descriptions of the individual modules.




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Obiettivi di sviluppo sostenibile
Questa attività didattica contribuisce al raggiungimento dei seguenti Obiettivi di Sviluppo sostenibile.

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Modules

Semestre 1 · 12422A · Corso di laurea magistrale a ciclo unico in Scienze della Formazione primaria - sezione in lingua tedesca · 4CFU · DE

Module A — Didattica della matematica: approfondimenti tematici

The aim of the lecture is to impart the basic technical and didactic knowledge necessary to stimulate and support learning processes in the content areas of space and form (geometry), fractions and decimals, arithmetic and quantities as well as data and predictions from kindergarten to the end of primary school in inclusive settings in a child- and subject-appropriate manner and to promote the individual potential of the children.

Docenti: Michael Gaidoschik

Ore didattica frontale: 40
Ore di laboratorio: 0

Argomenti dell'insegnamento
- Development of spatial thinking and geometric concepts from kindergarten to secondary school - Basic concepts of elementary geometry - Current didactic concepts for dealing with geometric content in kindergarten and primary school in a way that promotes learning, taking into account the promotion of general (process-related) mathematical skills - Content-knowledge needed for teaching fractions and decimals in primary school - Current didactic concepts for the development and consolidation of sustainable basic concepts of fractions and decimals - Early childhood development of ways of thinking and ideas about measurement and standardised units - Current didactic concepts for the development and consolidation of sustainable concepts of measurement and model and base concepts of standardised units of measurement from kindergarten to the transition to middle school - Content-knowledge and didactic principles for teaching the conversion of units of measurement - Maths problem solving as integrated modelling and problem solving, teaching heuristic strategies in heterogeneous learning groups - Early childhood experiences with data, chance and probability - Importance of the content area "Data and predictions" for kindergarten and primary school - Content knowledge of the foundations of descriptive statistics and probability and knowledge of current didactic concepts needed for the propaedeutic treatment of the content area "data and predictions" in kindergarten and primary school - Specialised didactic approaches to the early, qualitative, support-oriented assessment of (even emerging) special learning difficulties in the area of early mathematics and to dealing with heterogeneity in mathematics lessons in general

Modalità di insegnamento
Lecture with media support, interspersed work phases (individual work to small groups), repeated invitation to written interim reflections and feedback on the course.

Bibliografia obbligatoria

Franke, M., & Reinhold, S. (2016). Didaktik der Geometrie in der Grundschule, 3. Auflage. Springer

Franke, M., & Ruwisch, S. (2010). Didaktik des Sachrechnens in der Grundschule. Spektrum.

Gaidoschik, M. (2025). Lernschwierigkeiten in Mathematik. Warum wir nicht von Rechenschwäche und Dyskalkulie sprechen und was wir ab dem Kindergarten tun sollten. Persen.

Padberg, F. & Wartha, S. (2015): Didaktik der Bruchrechnung. Heidelberg: Spektrum



Bibliografia facoltativa

Benz, Ch., Peter-Koop, A., & Grüßing, M. (2015). Frühe mathematische Bildung. Mathematiklernen der Drei- bis Achtjährigen. Springer.

Schipper, W., Dröge, A., & Ebeling, R. (2015-2018). Handbuch für den Mathematikunterricht, 1./2./3./4. Schuljahr. Bildungshaus Schulbuchverlage.



Semestre 1 · 12422B · Corso di laurea magistrale a ciclo unico in Scienze della Formazione primaria - sezione in lingua tedesca · 2CFU · DE

Module B — Didattica della matematica con particolare attenzione alla fascia di età 5-12 (lab.)

The aim of the laboratory is, on the one hand, to support students in acquiring the content of the lecture "Didactics of Mathematics: In-depth content" through practical exercises in small groups. On the other hand, it is about the practical testing of substantial tasks, materials, media... for early mathematical education in kindergarten as well as for its continuation in primary school (focus), as well as the reflection of the experiences made and their reference back to the theory dealt with in the lecture.

Docenti: Michael Gaidoschik, Monika Lanthaler

Ore didattica frontale: 0
Ore di laboratorio: 30 Gruppe 1: Prof. Dr. Michael Gaidoschik Gruppe 2, 3, 4 und 5: Monika Lanthaler

Semestre 1 · 12422C · Corso di laurea magistrale a ciclo unico in Scienze della Formazione primaria - sezione in lingua tedesca · 2CFU · DE

Module C — Didattica della fisica: approfondimenti tematici

The aim of the lecture is to impart the basic technical and didactic knowledge necessary to stimulate and support learning processes in the field of science education, especially in the field of physics, from kindergarten to the end of primary school in a child- and subject-appropriate manner and to promote the individual potential of the children.

Docenti: Angelika Pahl

Ore didattica frontale: 30
Ore di laboratorio: 0

Semestre 1 · 12422D · Corso di laurea magistrale a ciclo unico in Scienze della Formazione primaria - sezione in lingua tedesca · 2CFU · DE

Module D — Didattica della fisica con particolare attenzione alla fascia di età 5-12 (lab.)

The aim of the laboratory is, on the one hand, to support students in acquiring the content of the lecture "Didactics of Physics: Consolidation of Content" through practical exercises in small groups. On the other hand, it is about the practical testing of substantial tasks, materials, media... for primary schools (focus), as well as reflecting on the experiences gained and relating them back to the theory covered in the lecture.

Docenti: Michael Frischmann, Angelika Pahl

Ore didattica frontale: 0
Ore di laboratorio: 20 Gruppe 1 und 2: Prof. Dr. Angelika Pahl Gruppe 3, 4 und 5: Dr. rer. nat. Michael Frischmann

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