---
_id: '65645'
abstract:
- lang: eng
text: Curriculum material is often designed to address content-specific
intended learning goals. However, research indicates that teachers’ personal goals
may cause misalignments between their implementation of curriculum material and
its intended learning goals. This study aims to investigate misalignments between
teachers’ implementation of curriculum material and its intended learning goals
and to which extent they are caused by teachers’ personal goals. To reach this
aim, a qualitative study was conducted to examine how eight vocational school
teachers implemented the learning activity “How many?” suggested for the initial
training of early childhood educators on the topic of set perception and determination
of cardinality. Each participant provided a lesson plan and self-recorded lesson
video on the topic of set perception and determination of cardinality. In addition,
participants were interviewed on how they used the provided curriculum material
for designing their lessons and their potential reasons to adapt or omit “How
many?”. To evaluate their lesson design’s alignment with the activity’s intended
learning goals, the participants' lesson plans were analyzed using qualitative
content analysis. Triangulation of the findings with the interview data revealed
that only one participant fully adopted the intended learning goals as her own
and implemented the activity completely in line with its intended learning goals.
Meanwhile, the remaining participants’ personal goals, such as reducing math anxiety,
seemed to cause misalignments regarding the intended learning goals. The study's
results detail further constraints and affordances to the alignment between teachers’
lesson designs and learning goals intended by curriculum material. It is followed
that it is central to support teachers in adopting intended learning goals as
their personal goals. Otherwise, teachers’ classroom implementation of curriculum
material may not suffice to reach desired outcomes.
article_number: em0883
author:
- first_name: Alix
full_name: Richter, Alix
id: '93186'
last_name: Richter
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
citation:
ama: Richter A, Bruns J. All a question of the goal? Re-tracing (mis)alignments
between teachers’ implementations of curriculum material and intended learning
goals in the context of early childhood educator training in Germany. International
Electronic Journal of Mathematics Education. 2026;21(2). doi:10.29333/iejme/18564
apa: Richter, A., & Bruns, J. (2026). All a question of the goal? Re-tracing
(mis)alignments between teachers’ implementations of curriculum material and intended
learning goals in the context of early childhood educator training in Germany.
International Electronic Journal of Mathematics Education, 21(2),
Article em0883. https://doi.org/10.29333/iejme/18564
bibtex: '@article{Richter_Bruns_2026, title={All a question of the goal? Re-tracing
(mis)alignments between teachers’ implementations of curriculum material and intended
learning goals in the context of early childhood educator training in Germany},
volume={21}, DOI={10.29333/iejme/18564},
number={2em0883}, journal={International Electronic Journal of Mathematics Education},
publisher={Modestum Ltd}, author={Richter, Alix and Bruns, Julia}, year={2026}
}'
chicago: Richter, Alix, and Julia Bruns. “All a Question of the Goal? Re-Tracing
(Mis)Alignments between Teachers’ Implementations of Curriculum Material and Intended
Learning Goals in the Context of Early Childhood Educator Training in Germany.”
International Electronic Journal of Mathematics Education 21, no. 2 (2026).
https://doi.org/10.29333/iejme/18564.
ieee: 'A. Richter and J. Bruns, “All a question of the goal? Re-tracing (mis)alignments
between teachers’ implementations of curriculum material and intended learning
goals in the context of early childhood educator training in Germany,” International
Electronic Journal of Mathematics Education, vol. 21, no. 2, Art. no. em0883,
2026, doi: 10.29333/iejme/18564.'
mla: Richter, Alix, and Julia Bruns. “All a Question of the Goal? Re-Tracing (Mis)Alignments
between Teachers’ Implementations of Curriculum Material and Intended Learning
Goals in the Context of Early Childhood Educator Training in Germany.” International
Electronic Journal of Mathematics Education, vol. 21, no. 2, em0883, Modestum
Ltd, 2026, doi:10.29333/iejme/18564.
short: A. Richter, J. Bruns, International Electronic Journal of Mathematics Education
21 (2026).
date_created: 2026-05-19T13:52:04Z
date_updated: 2026-05-19T14:00:34Z
department:
- _id: '611'
doi: 10.29333/iejme/18564
intvolume: ' 21'
issue: '2'
language:
- iso: eng
publication: International Electronic Journal of Mathematics Education
publication_identifier:
issn:
- 1306-3030
publication_status: published
publisher: Modestum Ltd
status: public
title: All a question of the goal? Re-tracing (mis)alignments between teachers’ implementations
of curriculum material and intended learning goals in the context of early childhood
educator training in Germany
type: journal_article
user_id: '72183'
volume: 21
year: '2026'
...
---
_id: '61518'
abstract:
- lang: eng
text: "Abstract\r\n Teacher professional
development (TPD) is a crucial support mechanism for mathematics teachers. Strategies
for implementing TPD include disseminating educative curriculum materials or conducting
TPD courses. However, it remains unclear whether different implementations of
the same TPD support mathematics teachers in distinct ways. This study investigated
two implementations of the TPD EmMa-FS which focuses
early mathematics education (EME) for German vocational school (VS) teachers who
instruct prospective early childhood (EC) educators. One group of teachers received
an in-person TPD course along with educative curriculum materials (n\r\n
\ \r\n PM\r\n = 26),
whereas the other received only the educative curriculum materials (n\r\n
\ \r\n M\r\n = 15).
The effects on VS teachers’ beliefs and knowledge concerning EME were examined
using a t-test and repeated measures ANOVA. To assess
how teachers in the different implementation groups made use of the TPD in their
lesson planning, participants submitted hypothetical lesson sequences on early
numeracy, which were analysed for instructional quality, covered content, and
the visible implementation of the provided educative curriculum materials using
qualitative content analysis. The results indicated that both TPD implementations
positively affected VS teachers’ knowledge related to EME but not their beliefs.
While the instructional quality of the lesson sequences varied across both groups,
participants who received the TPD course appeared to use the educative curriculum
materials more often and to cover more content."
article_number: '8'
author:
- first_name: Alix
full_name: Richter, Alix
id: '93186'
last_name: Richter
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Hedwig
full_name: Gasteiger, Hedwig
last_name: Gasteiger
citation:
ama: 'Richter A, Bruns J, Gasteiger H. Interaction- or Material-Centred Implementation
of Teacher Professional Development: a Comparison of Teachers’ Competence Development
and Potential Lesson Planning Lehrkräftefortbildung interaktions- oder materialzentriert
implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung sowie der
potentiellen Unterrichtsplanung von Lehrkräften. Journal für Mathematik-Didaktik.
2025;46(1). doi:10.1007/s13138-025-00259-7'
apa: 'Richter, A., Bruns, J., & Gasteiger, H. (2025). Interaction- or Material-Centred
Implementation of Teacher Professional Development: a Comparison of Teachers’
Competence Development and Potential Lesson Planning Lehrkräftefortbildung interaktions-
oder materialzentriert implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung
sowie der potentiellen Unterrichtsplanung von Lehrkräften. Journal Für Mathematik-Didaktik,
46(1), Article 8. https://doi.org/10.1007/s13138-025-00259-7'
bibtex: '@article{Richter_Bruns_Gasteiger_2025, title={Interaction- or Material-Centred
Implementation of Teacher Professional Development: a Comparison of Teachers’
Competence Development and Potential Lesson Planning Lehrkräftefortbildung interaktions-
oder materialzentriert implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung
sowie der potentiellen Unterrichtsplanung von Lehrkräften}, volume={46}, DOI={10.1007/s13138-025-00259-7},
number={18}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science
and Business Media LLC}, author={Richter, Alix and Bruns, Julia and Gasteiger,
Hedwig}, year={2025} }'
chicago: 'Richter, Alix, Julia Bruns, and Hedwig Gasteiger. “Interaction- or Material-Centred
Implementation of Teacher Professional Development: A Comparison of Teachers’
Competence Development and Potential Lesson Planning Lehrkräftefortbildung Interaktions-
Oder Materialzentriert Implementieren: Ein Vergleich Hinsichtlich Der Kompetenzentwicklung
Sowie Der Potentiellen Unterrichtsplanung von Lehrkräften.” Journal Für Mathematik-Didaktik
46, no. 1 (2025). https://doi.org/10.1007/s13138-025-00259-7.'
ieee: 'A. Richter, J. Bruns, and H. Gasteiger, “Interaction- or Material-Centred
Implementation of Teacher Professional Development: a Comparison of Teachers’
Competence Development and Potential Lesson Planning Lehrkräftefortbildung interaktions-
oder materialzentriert implementieren: Ein Vergleich hinsichtlich der Kompetenzentwicklung
sowie der potentiellen Unterrichtsplanung von Lehrkräften,” Journal für Mathematik-Didaktik,
vol. 46, no. 1, Art. no. 8, 2025, doi: 10.1007/s13138-025-00259-7.'
mla: 'Richter, Alix, et al. “Interaction- or Material-Centred Implementation of
Teacher Professional Development: A Comparison of Teachers’ Competence Development
and Potential Lesson Planning Lehrkräftefortbildung Interaktions- Oder Materialzentriert
Implementieren: Ein Vergleich Hinsichtlich Der Kompetenzentwicklung Sowie Der
Potentiellen Unterrichtsplanung von Lehrkräften.” Journal Für Mathematik-Didaktik,
vol. 46, no. 1, 8, Springer Science and Business Media LLC, 2025, doi:10.1007/s13138-025-00259-7.'
short: A. Richter, J. Bruns, H. Gasteiger, Journal Für Mathematik-Didaktik 46 (2025).
date_created: 2025-10-05T17:55:20Z
date_updated: 2025-10-05T17:55:53Z
department:
- _id: '611'
doi: 10.1007/s13138-025-00259-7
intvolume: ' 46'
issue: '1'
language:
- iso: eng
publication: Journal für Mathematik-Didaktik
publication_identifier:
issn:
- 0173-5322
- 1869-2699
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Interaction- or Material-Centred Implementation of Teacher Professional Development:
a Comparison of Teachers’ Competence Development and Potential Lesson Planning Lehrkräftefortbildung
interaktions- oder materialzentriert implementieren: Ein Vergleich hinsichtlich
der Kompetenzentwicklung sowie der potentiellen Unterrichtsplanung von Lehrkräften'
type: journal_article
user_id: '72183'
volume: 46
year: '2025'
...