---
_id: '61017'
abstract:
- lang: eng
  text: Selecting tasks is a typical job in everyday teaching that requires teachers
    to have content-specific expertise, including categories to think about and perceive
    conceptual understanding. This contribution investigates the activation of prospective
    teachers’ categories when solving tasks on the scalar product and evaluating their
    relevance for teaching in upper secondary school. To further investigate, whether
    input on content-related aspects could be helpful to promote a professional justification
    for the selection of tasks, two groups with and without input are to be differentiated.
    Different ways of dealing with underlying concept elements and evaluating the
    relevance of tasks are discussed by examples.
author:
- first_name: Janine
  full_name: Herrmann, Janine
  id: '64060'
  last_name: Herrmann
citation:
  ama: 'Herrmann J. Which categories do prospective teachers apply when selecting
    tasks for the scalar product? In: Cornejo C, Felmer P, Gómez DM, et al., eds.
    <i>Proceedings of the 48th Conference of the International Group for the Psychology
    of Mathematics Education</i>. Vol 1. ; 2025.'
  apa: Herrmann, J. (2025). Which categories do prospective teachers apply when selecting
    tasks for the scalar product? In C. Cornejo, P. Felmer, D. M. Gómez, P. Dartnell,
    P. Araya, A. Peri, &#38; V. Randolph (Eds.), <i>Proceedings of the 48th Conference
    of the International Group for the Psychology of Mathematics Education</i> (Vol.
    1).
  bibtex: '@inproceedings{Herrmann_2025, title={Which categories do prospective teachers
    apply when selecting tasks for the scalar product?}, volume={1}, booktitle={Proceedings
    of the 48th Conference of the International Group for the Psychology of Mathematics
    Education}, author={Herrmann, Janine}, editor={Cornejo, Claudia and Felmer, Patricio
    and Gómez, David M. and Dartnell, Pablo and Araya, Paulina and Peri, Armando and
    Randolph, Valeria }, year={2025} }'
  chicago: Herrmann, Janine. “Which Categories Do Prospective Teachers Apply When
    Selecting Tasks for the Scalar Product?” In <i>Proceedings of the 48th Conference
    of the International Group for the Psychology of Mathematics Education</i>, edited
    by Claudia Cornejo, Patricio Felmer, David M. Gómez, Pablo Dartnell, Paulina Araya,
    Armando Peri, and Valeria  Randolph, Vol. 1, 2025.
  ieee: J. Herrmann, “Which categories do prospective teachers apply when selecting
    tasks for the scalar product?,” in <i>Proceedings of the 48th Conference of the
    International Group for the Psychology of Mathematics Education</i>, Santiago
    de Chile, 2025, vol. 1.
  mla: Herrmann, Janine. “Which Categories Do Prospective Teachers Apply When Selecting
    Tasks for the Scalar Product?” <i>Proceedings of the 48th Conference of the International
    Group for the Psychology of Mathematics Education</i>, edited by Claudia Cornejo
    et al., vol. 1, 2025.
  short: 'J. Herrmann, in: C. Cornejo, P. Felmer, D.M. Gómez, P. Dartnell, P. Araya,
    A. Peri, V. Randolph (Eds.), Proceedings of the 48th Conference of the International
    Group for the Psychology of Mathematics Education, 2025.'
conference:
  end_date: 2025-08-02
  location: Santiago de Chile
  name: 48th PME Conference
  start_date: 2025-07-28
date_created: 2025-08-26T08:35:10Z
date_updated: 2026-02-16T07:54:31Z
ddc:
- '510'
editor:
- first_name: Claudia
  full_name: Cornejo, Claudia
  last_name: Cornejo
- first_name: Patricio
  full_name: Felmer, Patricio
  last_name: Felmer
- first_name: David M.
  full_name: Gómez, David M.
  last_name: Gómez
- first_name: Pablo
  full_name: Dartnell, Pablo
  last_name: Dartnell
- first_name: Paulina
  full_name: Araya, Paulina
  last_name: Araya
- first_name: Armando
  full_name: Peri, Armando
  last_name: Peri
- first_name: 'Valeria '
  full_name: 'Randolph, Valeria '
  last_name: Randolph
file:
- access_level: closed
  content_type: application/pdf
  creator: herrmann
  date_created: 2025-08-26T08:32:39Z
  date_updated: 2025-08-26T08:32:39Z
  file_id: '61018'
  file_name: RR_Herrmann.pdf
  file_size: 408502
  relation: main_file
  success: 1
file_date_updated: 2025-08-26T08:32:39Z
has_accepted_license: '1'
intvolume: '         1'
keyword:
- Teacher expertise
- noticing
- analytical vectorial geometry
language:
- iso: eng
main_file_link:
- url: https://www.igpme.org/wp-content/uploads/2025/07/PME48_ResearchReports_E-ISSN_2790-3648.zip
publication: Proceedings of the 48th Conference of the International Group for the
  Psychology of Mathematics Education
publication_identifier:
  unknown:
  - 2790-3648
quality_controlled: '1'
status: public
title: Which categories do prospective teachers apply when selecting tasks for the
  scalar product?
type: conference
user_id: '64060'
volume: 1
year: '2025'
...