References of "Kreis, Yves 50002135"
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See detailParent’s experience in remote learning with digital and physical mathematical modelling
Haas, Ben; Lavicza, Zsolt; Kreis, Yves UL

in Research and Practice in Technology Learning (2023), 18

In reaction to the COVID-19 pandemic, the government of Luxembourg suspended in-school teaching and learning towards remote teaching. A survey conducted by the Ministry of Education after three weeks of ... [more ▼]

In reaction to the COVID-19 pandemic, the government of Luxembourg suspended in-school teaching and learning towards remote teaching. A survey conducted by the Ministry of Education after three weeks of confinement, showed that more than half of the parents faced difficulties when using remote teaching with their students. To tackle this new challenge, we adapted our research to the use of augmented reality, digital and physical mathematical modelling in remote mathematics education for elementary schools. The elementary school students (aged 5 to 12) created cultural artifacts (i.e., Easter egg cups) during the confinement. In this paper, we will describe mathematical modelling in remote teaching and further concentrate on parents’ perspectives, who played an essential role in assisting their children. Moreover, we will discuss different didactical principles that emerged from the task design during the study through parents’ eyes. Thus, understanding parents’ perspectives became highly important in enabling us to improve task designs and related pedagogical approaches in remote teaching. The data collected in this study included semi-structured interviews with students, parents, and teachers as well as questionnaires and field notes. We followed an exploratory stance with our data analyses, primarily utilizing grounded theory (Corbin & Strauss, 1990, 2014) approaches. Through the insights we gained from our findings, we aim to explain how the parents perceived teaching and learning mathematical modelling in our experiments, how they scaffolded the given tasks, and what support they required and would need in future remote teaching. [less ▲]

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See detail3D Modelling for AR and 3D printing in Teacher Training
Ulbrich, Eva; El Bedewy, Shereen; Handl, Julia et al

Scientific Conference (2022, October 07)

School activities integrating students’ environments into teaching aim to develop skills and strategies to solve problems in real-world situations and can be useful in hybrid teaching. Such activities can ... [more ▼]

School activities integrating students’ environments into teaching aim to develop skills and strategies to solve problems in real-world situations and can be useful in hybrid teaching. Such activities can encourage and motivate exploring skills in Science, Technology, Engineering, Arts, and Mathematics (STEAM). Hybrid teaching usually uses technologies and connects virtual and physical worlds. We use technologies like 3D modelling for Augmented Reality (AR) or 3D printing with GeoGebra and created an exercise introducing them in a lecture for pre-service mathematics students. The exercise combines the possibility to introduce these technologies, can be used in hybrid teaching and connects to the Austrian mathematics curriculum. The exercise consists of 3D modelling mathematical mazes that can be explored using AR on handheld devices and can also be 3D printed. We used it in online, offline and hybrid scenarios with pre- and in-service teachers and will show resulting presentations of teacher projects. [less ▲]

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See detailAugmented Reality in primary education: New learning opportunities for students with learning difficulties in mathematics education
Haas, Ben; Kreis, Yves UL; Lavizcza, Zsolt

Scientific Conference (2022, October 06)

Although there are manifold connections between mathematics, foremost geometry, and the real-world (e.g., architecture, arts, functional objects), integration seldom happens in daily learning lessons in ... [more ▼]

Although there are manifold connections between mathematics, foremost geometry, and the real-world (e.g., architecture, arts, functional objects), integration seldom happens in daily learning lessons in mathematics primary education. Learning three-dimensional geometric shapes, for example, is mainly done in a two-dimensional setting using textbooks instead of three-dimensional settings using technology or didactical material. This circumstance, however, makes it far more difficult for students with learning difficulties in mathematics to understand mathematical properties, recognize shapes in the real world, and understand the possibilities of modulating shapes. Students with learning difficulties learn efficient strategies to apply mathematics to their environment when shapes and connections are visualized with Augmented Reality within the real world. Based on several experiences and studies, we will present and discuss learning mathematics with Augmented Reality in primary education for students with learning difficulties. [less ▲]

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See detail3D printed mathematics visualisations by STEAM teachers
Ulbrich, Eva; Tejera, Mathias; Haas, Ben et al

Scientific Conference (2022, September 12)

Visualising abstract concepts such as for example geometrical objects in mathematics can be a valuable support for learners. Visualisation, however, is a process involving several steps that influence ... [more ▼]

Visualising abstract concepts such as for example geometrical objects in mathematics can be a valuable support for learners. Visualisation, however, is a process involving several steps that influence each other. Duval (1998) uses steps connecting reasoning by an explanation or proof to a construction step involving tools creating a visualisation to a production of a visual representation leading to new insights about a geometrical object. Vágová (2020) argues that visualising geometrical objects needs the ability to create, manipulate, and transform mental images by an internal and an external representation which both require information about the spatial arrangement. 3D modelled and then visualised geometrical objects can support the development and train visualisation skills. Steps of visualisation processes require visuospatial competencies and are also important for other subjects in Science, Technology, Engineering, Arts and Mathematics (STEAM) education (Ng 2017). Being able to understand representations and their spatial rotations, transitions between 2D and 3D and being able to manipulate representations are valuable for STEAM related subjects (Kok 2020). Martin-Dorta et al. (2008) says that spatial abilities can be improved using real and computer-aided models. 3D printing can therefore be an interesting activity as it also combines the mentioned steps in a mathematical modelling way. This approach was used in a beginners course for pre-service mathematics teachers and some of them chose to create mathematical proofs as visualisation. We will look at 3D printed objects, which concepts they visualise and what teachers' ideas behind visualisations were. [less ▲]

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See detailEvaluating Technology-Enhanced, STEAM-Based Remote Teaching With Parental Support in Luxembourgish Early Childhood Education
Haas, Ben; Lavicza, Zsolt; Houghton, Tony et al

in Frontiers in Education (2022), 7(872479), 1-12

During COVID-19 confinement, we observed numerous challenges in using educational technology in early childhood Science–Technology–Engineering–Arts–Mathematics (STEAM) education in Luxembourg. Thus, we ... [more ▼]

During COVID-19 confinement, we observed numerous challenges in using educational technology in early childhood Science–Technology–Engineering–Arts–Mathematics (STEAM) education in Luxembourg. Thus, we designed a conceptual framework on parent-assisted remote teaching with active uses of educational technology supported by cycles of design-based research. After a previous study utilizing computer-aided design (CAD) software and three-dimensional (3D) printing in primary education, we used our initial findings to work with 12 early childhood students (ages 4–6), together with their teachers and parents in the second remote teaching period in Luxembourg. We created a STEAM modeling task with CAD software on robots and collected data through chat responses, messageboards, and online communication channels during a 3-week period. Here, we observed new roles in the parent–child relationship while learning STEAM in remote teaching with technology, and new opportunities in using educational technology overall in early childhood education. In this article, we have described findings that are likely to influence students’ learning and parent-assisted teaching, in particular parents and students’ perceptions and motivations, together with the way in which parents provide technical knowledge and support in remote early childhood STEAM education. [less ▲]

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See detailCase study on augmented reality, digital and physical modelling with mathematical learning disabilities students in an elementary school in Luxemburg
Haas, Ben; Kreis, Yves UL; Lavicza, Zsolt

in International Journal for Technology in Mathematics Education (2021), 28(3), 125-132

This paper reports on a case study of two elementary school students with mathematical learning disabilities (MLD) (ages 10 and 11) using augmented reality (AR), digital and physical modelling in ... [more ▼]

This paper reports on a case study of two elementary school students with mathematical learning disabilities (MLD) (ages 10 and 11) using augmented reality (AR), digital and physical modelling in mathematics class. MLD students worked on modelling geometric shapes (cubes, cuboids, squared pyramids, and octahedrons) and forms (polygons) by combining real-world objects with AR and creating a copy of geometric shapes or missing parts with a 3D printing device. The study focused on the development of process skills and mathematical concepts, tried to identify changes in the visual-spatial memory, and documented the learning behaviour in class. Further, we collected data through task-based interviews with both students. Based on our findings, we present settings and manipulatives which are likely to foster process skills and mathematical concepts in geometry tasks suitable for MLD elementary school students. [less ▲]

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See detailIntegrated STEAM Approach in Outdoor Trails with Elementary School Pre-service Teachers in Luxemburg
Haas, Ben; Kreis, Yves UL; Lavicza, Zsolt

in Journal of Educational Technology and Society (2021), 24(4), 205-219

Due to the COVID-19 pandemic it was impossible to carry out on-campus teaching and examinations as planned for the first-year elementary school Bachelor’s degree teacher training courses during the summer ... [more ▼]

Due to the COVID-19 pandemic it was impossible to carry out on-campus teaching and examinations as planned for the first-year elementary school Bachelor’s degree teacher training courses during the summer term of 2019/2020. Therefore, we moved our on-campus STEAM (Science, Technology, Engineering, Arts and Mathematics) related courses to schooling at home. For their course examination, students designed outdoor trails in groups with the educational technology MathCityMap based on an integrated STEAM approach. Hence, they combined STEAM with real-world situations (e.g., monuments, marketplaces, playgrounds). The tasks within the trails required the use of technologies such as augmented reality (AR), digital modelling (e.g., GeoGebra 3D Graphing Calculator), and GPS. Analogue measuring tools (e.g., triangle ruler) were also used in the task designs. We collected data from 21 trails with 259 tasks from 49 pre-service teachers to analyse the effects on professional growth in STEAM education. Through hierarchical cluster analysis we identified three different clusters with patterns regarding STEAM in outdoor trails. This paper will describe a pedagogical framework for the integrated STEAM approach to designing and evaluating outdoor trails. Furthermore, we will explain patterns pre-service teachers developed during this professional development. [less ▲]

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See detailIterative STEAM design in primary grades and in pre-service teacher training
Kreis, Yves UL; Haas, Ben

Scientific Conference (2021, June 24)

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See detaileJMT Problem Corner: June 2021
Kreis, Yves UL; Haas, Ben; Lavicza, Zsolt

in The Electronic Journal of Mathematics & Technology (2021)

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See detailFirst results of the iterative STEAM design process in 3D modelling and printing with pre-service teachers
Kreis, Yves UL; Haas, Ben; Lavicza, Zsolt

Scientific Conference (2021, May 28)

While we examined mathematical modelling of architectures with CAD software during the last years, we intended in our higher education courses in pre-service elementary school teachers' initial training ... [more ▼]

While we examined mathematical modelling of architectures with CAD software during the last years, we intended in our higher education courses in pre-service elementary school teachers' initial training to expand the complexity of the modelling tasks. In addition, our previous research results indicated a high difference between the quality and functionality of designs by students. Therefore, we investigated the design process in 3D modelling and printing. Based on the industrial iterative design process (e.g., design of a pen), we became aware of the importance of iterative process milestones, quality controls, discussions and peer evaluations. Therefore, we created a remote teaching course for pre-service teachers to design complex objects (e.g., functionality) and create learning settings and tasks based on an iterative design process concept. We will present the first results and reflections at this conference. [less ▲]

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See detailTransition from traditional to hybrid to online courses for pre-service elementary school teachers at the University of Luxembourg: STEAM integrated approach in the project MathEduc @ BScE
Kreis, Yves UL; Haas, Ben

Scientific Conference (2021, April 07)

During the past year, technology has started enabling new forms of teaching and learning in higher education in Luxemburg. Thus, to be able to work more closely with elementary school pre-service teachers ... [more ▼]

During the past year, technology has started enabling new forms of teaching and learning in higher education in Luxemburg. Thus, to be able to work more closely with elementary school pre-service teachers, we shifted our mathematics education course during the past years to flipped classroom approaches and worked with synchronous and asynchronous teaching on- and off-campus modes. Furthermore, due to the restrictions of the COVID-19 pandemic, we decided to shift our teaching to entirely online flipped classroom approaches together with outdoor mathematical trails with STEAM integrated assessments. This final shift to a fully online flipped classroom, with self-paced, student-centred teachings and learnings, showed strong positive effects on pre-service elementary school teachers in mathematics teaching. In this presentation, we will outline results of this transition period and describe results from different studies. [less ▲]

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See detailThe STEAM skilled child: How children can learn to apply STEAM skills to their living environment
Haas, Ben; Kreis, Yves UL; Lavicza, Zsolt

Scientific Conference (2021, April 01)

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See detailMixed-methods research in STEAM outdoor trails in elementary school pre-service teacher training
Haas, Ben; Kreis, Yves UL; Lavicza, Zsolt

Scientific Conference (2021, March 25)

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See detail3D Modelling in online learning for pre-service elementary school teachers at the University of Luxembourg
Kreis, Yves UL; Haas, Ben; Lavicza, Zsolt

Scientific Conference (2021, March 19)

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See detail3D modelling for pre-service primary school teachers in mathematics education
Kreis, Yves UL; Haas, Ben

Scientific Conference (2021, February 17)

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See detailMathEduc @ BScE
Kreis, Yves UL

Presentation (2021, January 14)

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See detailOutdoor STEAM integrated framework in elementary schools in Luxembourg using MathCityMap and GeoGebra 3D Calculator
Haas, Ben; Kreis, Yves UL; Lavicza, Zsolt

Scientific Conference (2020, December 15)

In elementary schools in Luxemburg, sciences and mathematics are generally taught in class based essentially on textbooks. However, the findings of multiple studies on understanding and applying skills in ... [more ▼]

In elementary schools in Luxemburg, sciences and mathematics are generally taught in class based essentially on textbooks. However, the findings of multiple studies on understanding and applying skills in STEAM (Science, Technology, Engineering, Arts and Mathematics) report that students need hands-on activities on real-world objects. Furthermore, in times of the COVID-19 pandemic, where numerous restrictions and risks dominate teaching inside the classroom, outdoor learning is safer and offers many opportunities. Hence, we created outdoor mathematical trails with a STEAM integrated approach for elementary schools using the free educational software MathCityMap and the dynamic mathematics software GeoGebra 3D. In these outdoor trails, students used a set of promising technologies, i.e. AR (Augmented Reality) or GPS, to support STEAM education. Based on results from our first study on outdoor mathematical trails in June 2020 (in review), we developed and evaluated a framework on outdoor STEAM integrated teaching. This framework was used for further outdoor task and trail creations in elementary schools, which we investigated by conducting semi-structured interviews with students and teachers. Hence, we will present how this framework was used in elementary schools to create outdoor mathematical trails and describe how it affected the students' learning. [less ▲]

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See detailTransition from in-class to outdoor learning with real-world mathematical modelling: PhD research project 2015-2021
Haas, Ben; Lavicza, Zsolt; Dana-Picard, Thierry (Noah) et al

Presentation (2020, December 10)

In this PhD outline, I will present highlights from my PhD research project on mathematical modelling with real-world information in the classroom, remote teaching and outdoor learning in Luxemburg ... [more ▼]

In this PhD outline, I will present highlights from my PhD research project on mathematical modelling with real-world information in the classroom, remote teaching and outdoor learning in Luxemburg. Through design-based explanatory studies, I investigated different technology enhanced tasks, learning and teaching settings that could likely engage students in understanding and transferring mathematical modelling to their living environments. The selected design-based research methodology and its characteristics, allowed to adapt task designs, settings and methods during my PhD research project. Hence, firstly, I investigated process skills learning (e.g.: mathematical modelling) with an automated tutoring system (the educational technology software MathemaTIC) within an international project. Although findings were promising, I redesigned my interventions to connect further students mathematical modelling learning to real-world information. Thus, secondly, I performed mathematical modelling tasks with augmented reality on real-world objects in remote teaching and in special needs educations. Utilising findings of these studies and a redesign of the intervention based on outdoor mathematical trails, thirdly, I undertook my final study. In pre-service teacher higher education, I explored outdoor mathematical modelling with an integrated STEAM (Science, technology, engineering, arts, and mathematics) approach. With the aim of such holistic approach, I collected data on education-related perceptions from different stakeholders of elementary school education (students, parents, in-service, and pre service teachers) and developed conceptual frameworks on task creation, mathematical modelling, and stakeholders' roles. In my PhD research project, I aspired to contribute and explain how in-class learning and teaching could be connected and transferred to mathematical modelling within students living environments. Although there are many crucial moments, method choices and findings within these studies, in this report, I will offer highlights of my PhD work and results. [less ▲]

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See detailGeoGebraTAO: Geometry Learning using a Dynamic Adaptive ICT-Enhanced Environment to Promote String Differentiation of Children's Individual Pathways
Dording, Carole; Max, Charles Joseph UL; Kreis, Yves UL et al

Scientific Conference (2020, November 12)

In our project, we investigate the scientific validity of a specific self-built Adaptive Learning Tool in the field of dynamic geometry with a particular focus on the individual learning pathways of a ... [more ▼]

In our project, we investigate the scientific validity of a specific self-built Adaptive Learning Tool in the field of dynamic geometry with a particular focus on the individual learning pathways of a highly diverse student population. 164 children of Luxembourg elementary schools, aged between 10 and 13 years, acted as test-group and explored elementary geometric concepts in a sequence of learning assignments, created with the dynamic mathematics system GeoGebra integrated into the computer-assisted testing framework TAO. They actively built new knowledge in an autonomous way and at their own pace with only minor support interventions of their teacher. Based on easily exploitable data, collected within a sequence of exploratory learning assignments, the GeoGebraTAO tool analyses the answers provided by the child and performs a diagnostic of the child’s competencies in geometry. With respect to this outcome, the tool manages to identify children struggling with geometry concepts and subsequently proposes a differentiated individual pathway through scaffolding and feedback practices. Short videoclips aim at helping the children to better understand any task in case of need and can be watched voluntarily. Furthermore, a spaced repetition feature is another highly useful component. Pre- and post-test results show that the test-group, working with GeoGebraTAO, and a parallel working control-group, following a traditional paper-and-pencil geometry course, increased their geometry skills and knowledge through the training program; the test-group performed even better in items related to dynamic geometry. In addition, a more precise analysis within clusters, based on similar performances in both pre- and post-tests and the child’s progress within GeoGebraTAO activities, provides evidence of some common ways of working with our dynamic geometry tool, leading to overall improvement at an individualized level. [less ▲]

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