Projects per year
Personal profile
Research
My research mostly falls within the field 'didactics of mathematics', which is the term for the field that has teaching of mathematics as its aim and object. My research very often involves an investigation of the opportunities for and challenges in applying descriptions of subject-specific competencies as didactical tools of development, both in general terms, and in relation to mathematical modelling competency.
Furthermore, I investigate the conditions for and obstacles against establishing a fertile interplay between didactics of mathematics as a field of research on the one hand, and the practical teaching of mathematics on the other. This is done in various ways, e.g. through participation in a number of R&D-projects as listed on this page.
Videotaped recordings
My collaboration partners and I use videotaped recordings of experimental teaching in order to establish the mutually rewarding interplay between research and teaching practice. Through close examination of the recordings, I can identify the classroom practice's influence on my analysis of the practice, and by using snippets of the recordings in my communication of the research, the videos establish a common ground for research and practice, which hopefully will inspire others and not just me.
The snippets of the recordings can be seen by following the links below.
Cooperation and dissemination
Subtitled video shots from various projects
Undervisningsformativ evaluering af kompetenceorienteret matematikundervisning (2010-2025)
Meningsfuld målstyret matematikundervisning (2016-2025)
Rhapsode-støttet, kompetenceorienteret matematikundervisning (2019-2020)
Mundtlige matematikprøver (2013)
Above, please find links to video shots from projects where I worked systematically with video recordings. Each link leads to a log of the observed experimental teaching, to give the visitor a feeling for the context of each recording. The log opens with a listing of the chronology of the shots and of the analytical focus that I (and my fellow researchers) find that each shot sheds light on.
Each of the recordings of course come with a signed agreement from each of the participants, and they are as such only available for use by formally established research- and educational activities. Access to the recordings requires a password, which can be obtained by emailing me with a short description of the legitimate interest in the matter. Sharing the password with colleagues is ok, but it is of course not to be made public more broadly.
Job responsibilities
Teaching mathematics and mathematics education
Educational planning
Analysis of and developmental work on
- Relations between educational research and practice
- Didactical modelling as a methodology
- Descriptions of competencies as an educational tool
- The structuring of curricula
- Project work and student autonomy
- Mathematical modelling competency
- Mathematical problem tackling competency
- Mathematical symbol tackling competency
- Textbooks for mathematics education
- Tasks for mathematics education
Keywords
- Subject-related didactics
- Curriculum
- Evaluation
- The Danisk "folkeskole"
- Functions, tasks and role of the teacher
- Teaching goals and methods
- University pedagogics
Fingerprint
- 1 Similar Profiles
Collaborations and top research areas from the last five years
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Algoritmisk kunst
Højgaard, T. (PI), Nortvig, A.-M. (Project manager), Christensen, E. P. (Participant), Christensen, P. L. (Participant) & Buhl, M. (Participant)
01/01/2023 → 30/06/2025
Project: Other
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MMM: Meningsfuld målstyret matematikundervisning
Højgaard, T. (Participant), Ryberg-Jensen, L. (Participant) & Sørensen, K. B. (Participant)
01/08/2016 → 31/07/2025
Project: Research
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Undervisningsformativ evaluering af kompetenceorienteret matematikundervisning
Højgaard, T. (Participant), Sørensen, L. (Collaborator), Ryberg-Jensen, L. (Collaborator) & Sørensen, K. B. (Collaborator)
01/08/2010 → 31/07/2025
Project: Research
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KiSTEM-U: Ph.d.-projekt: Kompetenceorienteret integreret STEM-undervisning
Møller, M. (Project manager) & Højgaard, T. (Other)
01/01/2021 → 31/12/2023
Project: Research
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Matematik- og danskundervisning i Læringshus Nærheden
Højgaard, T. (PI) & Fougt, S. S. (Participant)
01/11/2019 → 30/06/2020
Project: Consultancy
Research output
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Forskere: Færre læringsmål garanterer ikke mere frihed til lærerne
Højgaard, T. & Sølberg, J., 28 Jan 2025, In: Folkeskolen.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Contribution to newspaper - Comment/debate
Open Access -
Meningsfulde mål
Højgaard, T. & Sølberg, J., 2025, In: Matematik. 1, p. 12-15Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Communication
Open AccessFile1 Downloads (Pure) -
Tænk i tid frem for antal
Højgaard, T., 5 Mar 2025, Alinea.Research output: Other contribution › Net publication - Internet publication › Communication
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An example of competency-oriented teaching: Reasoning in grade 8
Højgaard, T., 2024, 7 p. http://au.dk/tomas@eduResearch output: Other contribution › Net publication - Internet publication › Research
Open AccessFile27 Downloads (Pure) -
Competencies and fighting syllabusism
Højgaard, T., Mar 2024, In: Educational Studies in Mathematics. 115, 3, p. 459-479 21 p.Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review
Open Access
Activities
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Conference of the European Society for Research in Mathematics Education
Højgaard, T. (Participant)
4 Feb 2025 → 8 Feb 2025Activity: Participating in or organising an event types › Participation in or organisation of workshop, seminar or course
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Om kandidatuddannelsen i matematikdidaktik
Højgaard, T. (Lecturer) & Ørntoft, K. (Lecturer)
30 Jan 2025Activity: Presentations, memberships, employment, ownership and other activities › Lecture and oral contribution
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Docentur i matematikdidaktik ved UCL
Højgaard, T. (Presenter)
25 Oct 2024 → 9 Feb 2025Activity: Evaluation, external lectures and examination › Member of evaluation panel
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Om matematikdidaktisk forskning og kandidatuddannelsen i matematikdidaktik
Højgaard, T. (Lecturer) & Ørntoft, K. (Lecturer)
3 Oct 2024Activity: Presentations, memberships, employment, ownership and other activities › Lecture and oral contribution
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Om matematikdidaktisk forskning og kandidatuddannelsen i matematikdidaktik
Højgaard, T. (Lecturer) & Ørntoft, K. (Lecturer)
3 Oct 2024Activity: Presentations, memberships, employment, ownership and other activities › Lecture and oral contribution
Press/Media
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Elever lærer mere, når de ved, hvor læreren vil hen
01/06/2022
1 Media contribution
Press/Media: Press / Media
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Fælles Mål - matematik
Højgaard, T. & Heunicke, H.
12/08/2021
1 Media contribution
Press/Media: Press / Media
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