Matematikk 1MU, trinn 5-10 Programplan

The increasing globalisation of the labour market makes international experience and knowledge of languages and cultures increasingly important. Internationalisation contributes to raising the quality of education and strengthens the academic community relating to the master’s programme, at the same time as it strengthens the students as global citizens.

The programme has a focus on multicultural and global problems. This approach contributes to an increased understanding and improves the students' ability to work in a professional capacity in a multicultural society. The students gain access to specialist terminology in English through the syllabus, which comprises both textbooks and international research literature.

The staff’s network, research collaboration and cooperation with colleagues in other countries contribute to internationalisation. The programme is represented in international networks.

OsloMet has exchange agreements with educational institutions in Europe and worldwide.

Courses adapted to incoming exchange students

The following courses have been adapted for incoming exchange students:

• MAVIT4050 Theory of Science and Research Methods, 10 ECTS credits
• MAVIT4060 Qualitative and Quantitative Research Methods, 10 ECTS credits
• MAVIT4100 Quality Improvement and Implementation of Evidence-based Practice, 10 ECTS credits
• MAPHN4100 National and Global Nutrition Challenges, 10 ECTS credits
• MAPHN4200 Public Health Nutrition Policies and Interventions, 10 ECTS credits
• MAMUS4100 Physical Therapy for Musculoskeletal Conditions – Part 1, 10 ECTS credits
• MAFAR4100 Innovation within Healthcare, 10 ECTS credits
• MAVIT4700 Food, Health and Sustainability, 10 ECTS credits
• MAVIT4900 Quality of Life, 10 ECTS credits
• MAVIT5100 Health Communication, 10 ECTS credits
• MAPSY4400 Mental Health of Migrants and Minorities, 10 ECTS credits
• MAVIT5400 Alliance and Shared Decision Making, 10 ECTS credits
• MAVIT5600 Physical Activity and Exercise in a Life Course Perspective and with a Special Focus on Aging, 10 ECTS credits
• MAVIT5700 Pain – Multidimensional Assessment and Health Professional Interventions, 10 ECTS credits

The course MAVIT4100 Quality Improvement and Implementation of Evidence-based Practice will always be taught in English. The other courses listed above will be taught in English if international students have registered for them. Otherwise, courses will generally be taught in Norwegian.

Semesters adapted to outbound exchange students

Students who wish to take courses at an educational institution abroad as part of their master’s degree normally go on an exchange in the third semester. Students admitted to a specialisation that as a norm has a master’s thesis worth 50 ECTS credits can apply to instead write a master’s thesis worth 30 ECTS credits to realize this. The students are responsible for finding relevant courses at partner institutions and must apply to have them approved in advance. An international coordinator can provide guidance in relation to selecting a course.

Reference is otherwise made to the criteria that apply to student exchanges and the information about stays abroad.

Coursework requirements are all types of work, tests and compulsory attendance that are requirements for being permitted to take the examination. Required coursework is assessed as approved/not approved. The coursework requirements for each course are described in the relevant course description.

The primary purpose of coursework requirements is to promote students' progress and academic development and to encourage them to acquire new knowledge. The programme's main coursework requirements are in the form of compulsory attendance, written assignments and tests.

Compulsory attendance

Attendance is compulsory in areas where the student cannot acquire knowledge and skills simply by studying literature.

If a student does not take part in a group presentation, he/she must give an individual presentation to the lecturer.

If a student otherwise exceeds the maximum limit for absence stated in the course description, the subject teacher will consider whether it is possible to compensate for absence by meeting alternative requirements, for example individual written assignments. If it is not possible to compensate for the absence, the student must take the course the next time it is taught. Whether or not it is possible to compensate for absence depends on the extent of the student’s absence and which activities he/she has missed.

Written assignments

Several courses have compulsory written assignments or reports as part of their coursework requirements. Written work that is not approved must be improved before re-submission. If the work is not approved on re-submission, the student cannot take the ordinary examination/assessment.

The students are entitled to a third attempt before the resit/rescheduled examination. If an assignment is not approved the third time it is submitted, the student must re-take the course with the next class.

Different forms of assessment are used on the programme that are adapted to the learning outcomes of the various courses. The forms of assessment used are intended to support learning and document the students’ level of competence in relation to the expected learning outcomes. The forms of assessment and criteria are described in each course description. All examinations taken and the title of the master’s thesis will be stated on the diploma. In general, the following forms of assessment are used in the programme:

Supervised individual examination

Taken at the university’s examination premises over a set number of hours.

Home examination

Taken over a set period of time at the end of the course, normally with a set question/assignment text unless otherwise stated in the course description.

Project examination

Taken over the whole or large parts of the course, normally with a topic decided by the students themselves unless otherwise stated in the course description.

Oral examination

Can take place individually or in groups. It can either be an independent form of assessment or used to adjust the grade awarded for another examination.

Practical examination

The assessment of specific practical skills either at the university or in the field of practice.

Assessment of practical training

Supervised practical training, assessed in accordance with the Regulations relating to Studies and Examinations at OsloMet – Oslo Metropolitan University Chapter 8.

The assessment of examinations and practical training is carried out in accordance with the applicable rules set out in the Act relating to Universities and University Colleges, the Regulations relating to Studies and Examinations at OsloMet and the Guidelines for Appointment and Use of examiners at OsloMet.

Examinations

All courses conclude with an examination. The assessment is based on the learning outcomes for the course, and the degree to which the student has achieved the stipulated learning outcomes is assessed. In theoretical courses, the grades used are pass/fail or letter grades from A to F, with A being the highest grade and E the poorest pass grade. The grade F means that the student has failed the examination. The grades pass/fail are used for the assessment of practical training.

Resit and rescheduled examinations are carried out in the same manner as the ordinary examination unless otherwise specified in the course description. In special cases, resit and rescheduled examinations in courses with group examinations may be held as individual examinations.

For examinations where a percentage of the examination papers are selected for assessment by an external examiner, the external examiner's assessment should benefit all the students. In such cases, one external and one internal Examiner will first grade the selected papers. The internal examiner then continues grading the remaining papers together with another internal examiner. The assessments from the first part are summarised to serve as guidelines for the assessments carried out by the two internal examiners.

The grade awarded for a written examination can be appealed, cf. Section 5-3 of the Act relating to Universities and University Colleges and the Regulations relating to Studies and Examinations at OsloMet. It is not possible to appeal the grades awarded for oral and practical examinations. In connection with group examinations, the result of an appeal will only have consequences for the candidate(s) who submitted the appeal. The other students will keep their original grade.

External programme supervisor

An external programme supervisor scheme is in place for the programme as required by the Guidelines for Appointment and Use of Examiners at OsloMet. The external supervisor will write an annual report on their work that will be included in the faculty’s area of the university’s quality assurance system.

Programme description considered by the Academic Affairs Committee at the Faculty of Health Sciences on 12 February 2020 and finally approved by tehe Academic Affairs Committee at the Faculty of Health Sciences on 7 December 2022 (Specialisation in Mental Health and Addiction)

Adopted by the University Board 9 september 2020

Faculty of Health Sciences

The programme description applies to students starting the programme in 2022

Matematikk 1, trinn 5–10 – oppdrag er bygd opp av to emner à 15 studiepoeng. I disse delene gjengis sentrale innholdskomponenter. Gjennom faglig og fagdidaktisk arbeid med dette innholdet søker vi å nå målene nedenfor.

Emne 1

Tall og algebra

• Tall, tallsymboler, regning med tall, ulike tallsystemer i vår og andres kultur
• Barns utvikling av tallforståelse, teorier om kognitiv utvikling og læring
• Ulike tallbegreper, inkludert naturlige tall, hele tall, rasjonale tall og reelle tall, additiv og multiplikativ gruppering, posisjons- og grunntallsprinsippet, hoderegning og overslagsregning
• Ulike algoritmer og strategier knyttet til tallregning
• Arbeid med brøk, desimaltall og prosent
• Arbeid med overgangen fra tallregning til algebra, herunder generalisering og algebraisk tenkning
• Grunnleggende algebraiske lover for tall, behandling av algebraiske uttrykk, bl.a. i tilknytning til tallfølger, figurtall og enkle ligninger
• Likninger som løsningsmetode i praktisk regning

Emne 2

Tall og algebra

• Barns utvikling av tallforståelse, teorier om kognitiv utvikling og læring
• Ulike tallbegreper, inkludert naturlige tall, hele tall, rasjonale tall og reelle tall, additiv og multiplikativ gruppering, posisjons- og grunntallsprinsippet, hoderegning og overslagsregning
• Arbeid med likninger, herunder annengradslikninger og lineære likningssystemer
• Likninger som løsningsmetode i praktisk regning
• Ulike representasjoner av funksjoner og variabelbegrepet

Geometri, statistikk og sannsynlighet

• Geometriske begreper og grunnleggende geometriske figurer i plan og rom
• Arbeid med grunnleggende geometriske setninger, herunder Pytagoras’ setning
• Geometriske konstruksjoner som er aktuelle i grunnskolen og prinsippene bak disse, de klassiske geometriske stedene og deres egenskaper
• Formlikhet og kongruens, sammenhengen med modeller, kart, arbeidstegninger, mønstre og symmetri
• Statistiske undersøkelser og grafiske framstillinger av datamaterialer
• Sannsynlighetsbegrepet, sannsynlighetsregning og kombinatorikk

Studentene vil møte varierte arbeidsformer. Studentene forventes å ta ansvar for egen læring gjennom framlegg, kollokvier og ved fortløpende vurdering av egen læringsprosess.

Teoretisk arbeid i faget knyttes nært til praktisk tilrettelegging av undervisning i faget. Arbeid med og vurderinger av fagdidaktiske spørsmål inngår som en viktig del av kurset. Studentenes arbeid med, og erfaringer fra, praksis i matematikkundervisning skal eksplisitt trekkes inn som en del av undervisningen.

Studentene skal i løpet av semesteret levere inn ulike arbeid knyttet til undervisning i faget. Disse kan være av matematikkfaglig og/eller fagdidaktisk karakter. Faglærer og/eller medstudenter gir tilbakemelding på og/eller veiledning av de enkelte arbeidene.

I alle temaene vil det være aktuelt å benytte IKT som praktisk hjelpemiddel.

Arbeidskrav skal være levert/utført innen fastsatt(e) frist(er). Gyldig fravær dokumentert med for eksempel sykemelding, gir ikke fritak for å innfri arbeidskrav. Studenter som på grunn av sykdom eller annen dokumentert gyldig årsak ikke leverer/utfører arbeidskrav innen fristen, kan få forlenget frist. Ny frist for å innfri arbeidskrav avtales i hvert enkelt tilfelle med den aktuelle læreren.

Arbeidskrav vurderes til ”Godkjent” eller ”Ikke godkjent”. Studenter som leverer/utfører arbeidskrav innen fristen, men som får vurderingen ”Ikke godkjent”, har anledning til maksimum to nye innleveringer/utførelser. Studenter må da selv avtale ny innlevering av det aktuelle arbeidskravet med faglærer.

Retten til å avlegge eksamen forutsetter godkjente arbeidskrav.

Avsluttende vurdering - emne 1: Individuell, skriftlig eksamen under tilsyn (seks timer).

Avsluttende vurdering - emne 2: Individuell, muntlig eksamen (omfang om lag 30 minutter).

Karakterskala

Ved gradert karakter gis det bokstavkarakterer med A som beste og E som dårligste karakter på bestått eksamen. Karakteren F brukes ved ikke bestått eksamen.

Vurderingskriterier

A: Fremragende prestasjon som klart utmerker seg. Klar, konsis fremstilling. Ingen betydelige faglige feil. Stor kreativitet og refleksjon.

B: Meget god prestasjon som ligger over gjennomsnittet. Viser evne til selvstendighet. En del kreativitet og refleksjon. Meget god framstilling. Ingen store faglige feil. Viser gjennomgående meget god forståelse.

C: Gjennomsnittlig prestasjon som er tilfredsstillende på de fleste områder. Fremstillingen kan ha svakheter, men ikke store. Viser god forståelse og refleksjon.

D: Prestasjon under gjennomsnittet. Har vist en del kunnskaper. Viser faglige svakheter ved fremstillingen og resultatene. Viser noe forståelse og refleksjon.

E: Prestasjon som tilfredsstiller minimumskravene. Viser noe kunnskap både matematisk og didaktisk. Viser liten selvstendig bruk av kunnskap og liten evne til forståelse og refleksjon.

F: (Ikke godkjent): Prestasjon som ikke tilfredsstiller minimumskravene.

Programplan for matematikk 1 for trinn 5–10 – oppdrag

Mathematics 1 for Grades 5–10

30 studiepoeng

Samlings- og nettbasert

Godkjent av studieutvalget 7. mai 2012

Siste revisjon godkjent 04.12.2015

Redaksjonell endring 30.11.2020

Gjeldende fra høstsemesteret 2021

Fakultet for lærerutdanning og internasjonale studier

Institutt for grunnskole- og faglærerutdanning