38 results on '"Documentational approach"'
Search Results
2. Towards a definition of "mathematical digital competency for teaching".
- Author
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Geraniou, Eirini, Jankvist, Uffe Thomas, Elicer, Raimundo, Tamborg, Andreas Lindenskov, and Misfeldt, Morten
- Subjects
CORE competencies ,MATHEMATICS teachers ,MATHEMATICS education ,STUDENT development ,TEACHERS - Abstract
When students engage with a digital tool to tackle a mathematical task, the interplay between their digital competencies and mathematical abilities gives rise to what is termed mathematical digital competency (MDC). Recognising the significance of MDC as an integral component for contemporary students, the relevance of cultivating mathematical digital competency for teaching (MDCT) becomes apparent. We posit that for teachers to effectively guide students in the development of their MDC, possessing MDCT is imperative. In this paper, drawing upon the theoretical frameworks of instrumental orchestration, the documentational approach to didactics, and the Danish competencies framework's six didactico-pedagogical competencies of mathematics teachers, we propose a theoretical conceptualization of teachers' mathematical and digital competencies in the context of teaching mathematics with technology. Expanding upon the preliminary definition of students' MDC, we incorporate pedagogic, theoretical elements tailored to teachers, encapsulating it as MDCT. To expound on the various facets of MDCT, we provide an illustrative example featuring a mathematics teacher proficient in the utilisation of digital technologies and programming. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
3. Multiple Documentational Genesis and Praxeologies: A Networked Approach to Investigate Mathematics Teachers’ Documentation Work
- Author
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Pocalana, Gabriella, Bini, Giulia, and Robutti, Ornella
- Published
- 2024
- Full Text
- View/download PDF
4. Resources and Praxeologies Involved in Teachers' Design of an Interdisciplinary STEAM Activity.
- Author
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Pocalana, Gabriella, Robutti, Ornella, and Ciartano, Elena
- Subjects
TEACHER development ,SCIENCE teachers ,PRAXIS (Process) ,TEACHERS ,WORK design - Abstract
This study aimed to examine the collaborative design of an interdisciplinary STEAM activity conducted by lower-secondary school teachers of different disciplines. We adopted an approach based on a case study involving four teachers (art, music, technology, and mathematics/science teachers) designing an activity focused on the concept of symmetry. We gathered data through oral, semi-structured interviews with the teachers and through schematic representations of resource systems provided by the teachers themselves. Data analysis aimed to identify the different kinds of resources the teachers relied on, their utilization schemes, and the overarching meta-didactical praxeology adopted by the teachers for their collaborative design work. The theoretical model adopted for data analysis was a combination of the Documentational Approach to Didactics and the Meta-Didactical Transposition frameworks, originally introduced to study the work of researchers in the context of teacher professional development. An application of this model to the collaborative design work of teachers can provide a fresh insight into the relationship between teachers' documentation work for the design of a STEAM activity, the practices that they adopt to address this shared task (praxis), and the shared justifying discourses (logos) for their praxis. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
5. Resources and Praxeologies Involved in Teachers’ Design of an Interdisciplinary STEAM Activity
- Author
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Gabriella Pocalana, Ornella Robutti, and Elena Ciartano
- Subjects
documentational approach ,interdisciplinary teaching ,meta-didactical praxeologies ,STEM education ,Education - Abstract
This study aimed to examine the collaborative design of an interdisciplinary STEAM activity conducted by lower-secondary school teachers of different disciplines. We adopted an approach based on a case study involving four teachers (art, music, technology, and mathematics/science teachers) designing an activity focused on the concept of symmetry. We gathered data through oral, semi-structured interviews with the teachers and through schematic representations of resource systems provided by the teachers themselves. Data analysis aimed to identify the different kinds of resources the teachers relied on, their utilization schemes, and the overarching meta-didactical praxeology adopted by the teachers for their collaborative design work. The theoretical model adopted for data analysis was a combination of the Documentational Approach to Didactics and the Meta-Didactical Transposition frameworks, originally introduced to study the work of researchers in the context of teacher professional development. An application of this model to the collaborative design work of teachers can provide a fresh insight into the relationship between teachers’ documentation work for the design of a STEAM activity, the practices that they adopt to address this shared task (praxis), and the shared justifying discourses (logos) for their praxis.
- Published
- 2024
- Full Text
- View/download PDF
6. From the historical text to the classroom session: analysing the work of teachers-as-designers.
- Author
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Chorlay, Renaud
- Subjects
HIGH school teachers ,HISTORICAL source material ,SQUARE root ,CLASSROOMS - Abstract
While classical studies have highlighted the many potential benefits of using original historical sources in the classroom, few studies have documented actual classroom practices outside of research contexts. In this case study, I aim to describe and explain how five French high school teachers autonomously designed and implemented classroom sessions starting from the same document, namely an excerpt from Euler's Elements of Algebra presenting an algorithm for square root approximation. From a methodological viewpoint, it enables me show how two general frameworks for the study of teachers' professional practices—the Documentational Approach to Didactics and the Didactic and Ergonomic Double Approach—can be tailored to fit the specific challenges of using historical sources. The empirical results provide fresh insights into the conditions for a mathematically rich use of historical sources in the classroom, and on the connections between this use and the integration of a historical perspective in the teaching of mathematics. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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7. Investigation of documentation processes of students with low and high level of mathematical literacy: A case study
- Author
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Kübra Ada, Menekşe Seden Tapan Broutin, Gül Kaleli Yılmaz, and Gül Mine Bayram
- Subjects
documentational approach ,documentation process ,mathematical literacy ,9th grade students ,Education ,Education (General) ,L7-991 - Abstract
The aim of this study is to analyze and compare the documentation processes of students with low and high mathematical literacy levels. To this aim, a qualitative research design was adopted. Participants in this case study consisted of two students studying at the 9th grade who were selected through the criterion sampling method considering the mathematical literacy levels (low and high). The participants were asked to draw and explain a schematic representation of the resource system that they employed in their mathematics learning process. They also completed 30-day mathematics learning diaries, which required them to explain the activities they did and the resources they used. Interviews were scheduled as the secondary data collection tool. Both content analysis and descriptive analysis were used to analyze the data. As a result, differences in resource usage schemes were found in the mathematics learning processes of two the participants. Compare to the student with low mathematical literacy, the objective of the action component of the utilization scheme for the student with high mathematical literacy was determined to be to associate mathematical knowledge with daily-life.
- Published
- 2021
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- View/download PDF
8. Investigation of documentation processes of students with low and high level of mathematical literacy: A case study.
- Author
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Ada, Kübra, Broutin, Menekşe Seden Tapan, Yılmaz, Gül Kaleli, and Bayram, Gül Mine
- Subjects
MATHEMATICS education ,EDUCATIONAL attainment ,QUALITATIVE research ,ACADEMIC achievement ,DOCUMENTATION ,CONTENT analysis - Abstract
The aim of this study is to analyze and compare the documentation processes of students with low and high mathematical literacy levels. To this aim, a qualitative research design was adopted. Participants in this case study consisted of two students studying at the 9th grade who were selected through the criterion sampling method considering the mathematical literacy levels (low and high). The participants were asked to draw and explain a schematic representation of the resource system that they employed in their mathematics learning process. They also completed 30-day mathematics learning diaries, which required them to explain the activities they did and the resources they used. Interviews were scheduled as the secondary data collection tool. Both content analysis and descriptive analysis were used to analyze the data. As a result, differences in resource usage schemes were found in the mathematics learning processes of two the participants. Compare to the student with low mathematical literacy, the objective of the action component of the utilization scheme for the student with high mathematical literacy was determined to be to associate mathematical knowledge with daily-life. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
- View/download PDF
9. Analyses of the Document Formation Process of a Lecturer in a Digital Environment.
- Author
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Kaya, Sema Nur, Broutin, Menekşe Seden Tapan, and Ezentaş, Rıdvan
- Subjects
DIGITAL technology ,LECTURERS ,UNIVERSITIES & colleges ,CURRICULUM ,DATA analysis - Abstract
In this research, it is aimed to examine the schemes that emerged during the documentation formation process and the factors affecting the process in the context of a lecturer's "Documentational Approach to Didactics" theoretical framework. For this purpose, a case study, one of the qualitative research methods, was preferred in the study. Linear algebra courses teaching plan, course video recordings, clinical interviews and schematic representation of the resource system were used as data collection tools. The research participant is a lecturer who teaches linear algebra at the Faculty of Education of a state university in the Marmara Region. Content analysis was used to analyze the data. Elements related to the schemes that emerged in the process of creating documents as a result of the study have been determined as the fact that the achievements of the linear algebra curriculum are applied in a different order, the language of the selected resources is simple, the lessons are in the form of definition-theorem-example solution-quiz, the lecturer creates his/her own examples on the subject, the digital media resource is Google Meet, the resources and videos are shared in the classroom. In addition, it was concluded that the factors affecting the documentation creation process of the lecturer were grouped under four themes: student-based, facultybased, mathematical concepts, and teaching environment. [ABSTRACT FROM AUTHOR]
- Published
- 2021
- Full Text
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10. UN ESTUDIO DE CASO SOBRE EL TRABAJO DOCUMENTAL COLECTIVO DE PROFESORES: LOS INTERVALOS DE FLUCTUACIÓN.
- Author
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Parra, Veronica and Gueudet, Ghislaine
- Abstract
In this paper we study the interactions between two mathematics teachers of high school and resources using the theoretical framework of documentational approach. According to this approach, these interactions produce documents associating resources and schemes of use. These schemes comprise professional knowledge described in terms of operational invariants. Teachers work together to prepare the teaching on tolerance intervals. These two teachers constitute a theory of practice. We show that, in spite of the collective work, the documents developed by each teacher always comprise different elements, because their initial operational invariants do not evolve enough to lead to common documents. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
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11. Teaching Mathematics with Technology at the Kindergarten Level: Resources and Orchestrations
- Author
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Gueudet, Ghislaine, Bueno-Ravel, Laetitia, Poisard, Caroline, Clark-Wilson, Alison, editor, Robutti, Ornella, editor, and Sinclair, Nathalie, editor
- Published
- 2014
- Full Text
- View/download PDF
12. Teachers Teaching Mathematics with Enciclomedia: A Study of Documentational Genesis
- Author
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Trigueros, Maria, Lozano, Maria-Dolores, Gueudet, Ghislaine, editor, Pepin, Birgit, editor, and Trouche, Luc, editor
- Published
- 2012
- Full Text
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13. Interactions of Teachers’ and Students’ Use of Mathematics Textbooks
- Author
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Rezat, Sebastian, Gueudet, Ghislaine, editor, Pepin, Birgit, editor, and Trouche, Luc, editor
- Published
- 2012
- Full Text
- View/download PDF
14. Studying the process of becoming a teacher educator in technology-enhanced mathematics.
- Author
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Psycharis, Giorgos and Kalogeria, Elissavet
- Subjects
TEACHER educators ,TEACHER education ,MATHEMATICS education ,EDUCATIONAL technology ,IN-service training of teachers ,PEDAGOGICAL content knowledge - Abstract
In this paper, we explore the process of becoming a teacher educator in the pedagogical use of digital tools in mathematics teaching. The study took place in the context of an in-service program during the trainees’ engagement in their practicum fieldwork activities including the process observation-reflection-design-implementation-reflection. We explored the features of this context that facilitated the trainees’ transition from the level of trainee educator to the level of teacher educator as well as the nature of the trainees’ documentation work for teachers. The results showed that observation of other teacher educators’ teaching in conjunction with reflection during the program’s respective sessions facilitated the trainees’ transition to the professional level. The identified operational invariants underlying the trainees’ designs concerned the focus of their observation in teacher education classrooms, the importance they attributed to the constraints and opportunities provided by the wider educational context and epistemological issues regarding the teaching and learning of mathematics with technology. The analysis of trainees’ designs revealed three kinds of documents (“explanatory,” “instructive” and “facilitative”) and corresponding roles of trainees during the implementation. These documents targeted different aspects of TPACK depending on the trainees’ conceptualizations of teachers’ roles either “as students” or “of students.” [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
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15. From resource to document: scaffolding content and organising student learning in teachers’ documentation work on the teaching of series.
- Author
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González-Martín, Alejandro S., Nardi, Elena, and Biza, Irene
- Subjects
- *
MATHEMATICS education , *MATHEMATICS teachers , *MATHEMATICS textbooks , *TEACHING methods , *YOUNG adults , *HIGHER education - Abstract
We examine teachers’ use of resources as they prepare to teach the topic of numerical series of real numbers, in order to identify how their personal relationship with mathematical content—and its teaching—interacts with their use of a commonly used textbook. We describe this interplay between textbook and personal relationship, a term coined in the Anthropological Theory of the Didactic (ATD, Chevallard,
2003 ), in terms of documentation work (resources, aims, rules of action, operational invariants), a key construct from the documentational approach (DA, Gueudet & Trouche, in Educational Studies in Mathematics, 71, 199-218,2009 ). We do so in the case of five post-secondary teachers who use the same textbook as a main resource for teaching the topic. Documentational analysis of interviews with the teachers led to the identification of their aims and rules of action (the what and how of their resource use as they organise their teaching of the topic) as well as the operational invariants (the why for this organisation of their teaching). We describe the teachers’ documentation work in two sets of aims/rules of action: scaffolding mathematical content (series as a stepping stone to learning about Taylor polynomials and Maclaurin series), and organising student learning about series through drill exercises, visualisation, examples, and applications. Our bridging (networking) of theoretical constructs originating in one theoretical framework (personal relationship, ATD) with the constructs of a different, yet compatible, framework (documentation work, DA) aims to enrich the latter (teachers’ documentation work) with the individual agency (teachers’ personal relationships with the topic) provided by the former. [ABSTRACT FROM AUTHOR]- Published
- 2018
- Full Text
- View/download PDF
16. Re-sourcing curriculum materials: in search of appropriate frameworks for researching the enacted mathematics curriculum.
- Author
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Pepin, Birgit
- Subjects
MATHEMATICAL ability testing ,CURRICULUM alignment ,EDUCATIONAL evaluation ,MATHEMATICS education ,CURRICULUM frameworks - Abstract
This article provides a commentary to the eight papers of this issue of ZDM entitled 'Researching the enacted mathematics curriculum.' It is structured around three main questions concerning (1) the layers of the curriculum addressed in the eight papers; (2) an identification of the main theoretical framework used, and an appreciation of this as compared to another European framework; and (3) challenges for future research on the enacted mathematics curriculum. The author outlines her views derived from a particular European perspective. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF
17. Instrumental and documentational approaches: from technology use to documentation systems in university mathematics education.
- Author
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Gueudet, Ghislaine, Buteau, Chantal, Mesa, Vilma, and Misfeldt, Morten
- Subjects
- *
MATHEMATICS education (Higher) , *TEACHER-student communication , *COURSEWARE , *TEACHER development , *MATHEMATICS textbooks , *DOCUMENTATION , *MATHEMATICS teachers , *HIGHER education - Abstract
In this article we present an instrumental approach in mathematics education, which focuses on the interactions between students, teachers, and artefacts. This approach analyses mediations attached to the use of a given artefact and instruments developed by the subjects from this artefact along instrumental geneses. We draw on three Research Cases at university to illustrate the use of this approach: the first is about students' geneses with a programming technology; the second about students' and teachers' geneses with a virtual learning environment; and the third about textbooks and teachers professional development. We also introduce the documentational approach, which draws on the instrumental approach, but takes into account the broader range of available resources. It distinguishes resources and documents developed by teachers from these resources, and studies teachers' documentation systems. We present a fourth Research Case concerning the documentation system of a mathematics teacher, and focusing on the place of technologies within this system. [ABSTRACT FROM AUTHOR]
- Published
- 2014
- Full Text
- View/download PDF
18. Investigation of documentatıonal geneses processes of mathematics teachers during their pre-service and in-service lives
- Author
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Sarıoğlu, Burcu Işık, Broutin, Menekşe Seden Tapan, and Bursa Uludağ Üniversitesi/Eğitim Bilimleri Enstitüsü/Matematik ve Fen Bilimleri Eğitim Anabilim Dalı/ Matematik Eğitimi Bilim Dalı.
- Subjects
Dokümantal oluşum süreci ,Mathematics teacher ,Documentational genesis process ,Documentational approach ,Dokümantal yaklaşım ,Prospective teacher ,Öğretmen adayı - Abstract
Geçmişten günümüze eğitim sisteminde öğretmenin öğrenme ortamındaki rolü değişse de eğitimin önemli faktörlerinden biri olduğu değişmez bir gerçektir ve öğretmenin gerçekleştirmesi gereken birçok görev bulunmaktadır. Günümüzde öğretmenlerden beklenen görevlerden biri de matematiksel, bilimsel, teknolojik ve dijital yetkinliklere sahip bireyler yetiştirmeleridir. İstenilen yeterliliklere sahip bireyler yetiştirmek için öğretmenlerin bu ihtiyaca cevap verebilecek öğrenme ortamları düzenlemeleri gerekmektedir. Öğretmenler bu tip öğrenme ortamlarını düzenlerken; ders kitabı, herhangi bir yazılım, öğrencilerden aldığı geri dönütler, meslektaşlarıyla yaptığı tartışmalar gibi birçok farklı kaynaktan yararlanmaktadır.Bir matematik öğretmeni için öğrenme ortamı hazırlarken kullanacağı kaynakları seçmek, üniversite eğitimi ile başlar ve mesleği boyunca devam eder. Bu çalışmada matematik öğretmenlerinin hem uygulamalı eğitim döneminde hem de mesleğe başladıklarında, ders hazırlığı sürecinde ve ders işlenişi esnasında kullandığı araç-gereç, materyal, kitap gibi bu süreçte kullanılan her türlü kaynak ve öğretmenlerin bu kaynakları tercih etme sebepleri araştırılmıştır. Araştırmada teorik çerçeve olarak, öğretmenler ve kaynaklar arasındaki etkileşimler ile öğretmenlerin mesleki gelişimlerini etki eden faktörleri temel alan didaktiğe dokümantal yaklaşım kullanılmıştır. Bu bağlamda çalışmanın amacı; öğretmenlerin, eğitim fakültesi son sınıfta uygulamalı eğitimleri esnasında ve meslek hayatına atılıp öğretmenlikleri esnasında oluşturdukları dokümantal oluşum süreçleri arasındaki benzerlik ve farklılıkları ortaya koymaktır. Araştırmanın amacı doğrultusunda nitel araştırma yöntemlerinden durum çalışması deseni kullanılmıştır. Veriler didaktiğe dokümantal yaklaşıma uygun olarak “Yansıtıcı İnceleme” veri toplama yöntemi ile toplanmıştır. Araştırmanın çalışma grubu amaçlı örnekleme yöntemlerinde ölçüt örnekleme metoduna göre belirlenen iki ilköğretim matematik öğretmenidir. Örneklem belirlenirken kullanılan ölçütler ise; (1) öğretmenlerin uygulamalı eğitim dönemindeki araştırma sürecine katılmış olması (2) öğretmenin kendini açık bir şekilde ifade etmesi (3) öğretmenlerin meslek hayatına başlamış olması, (4) öğretmenlerin araştırmaya katılmaya gönüllü olmasıdır. Araştırmanın katılımcıları, uygulamalı eğitimlerini devlet okulunda tamamlamalarına rağmen meslek hayatına, biri devlet okulunda diğeri ise özel okulda başlamıştır. Araştırmadan elde edilen bulgular, nitel veri analizi yöntemlerinden içerik analizine tabi tutulmuş ve her bir öğretmen için uygulamalı eğitim dönemindeki ve meslek hayatındaki dokümantal oluşum süreçleri arasındaki benzerlik ve farklılıklar ortaya konmuştur. Yapılan içerik analizinde öğretmenlerin dokümantal oluşum süreçlerine etki eden üç ana kategori belirlenmiştir: (1) Üniversite eğitimine ait kaynaklar, (2) mesleki deneyimlereait kaynaklar, (3) kendi öğrencilik yıllarındaki kişisel çıkarımlarına yönelik kaynaklar. Araştırmada ortaya çıkan bu üç ana kategoriye ait alt kategorilerin kendi arasındaki ve birbirleri ile olan ilişkileri tartışılmıştır. Although the role of the teacher in the learning environment changes in the education system from past to present, it is a constant fact that the teacher is one of the most important factors of education and there are many tasks to perform. One of the tasks expected from teachers today is to raise individuals with mathematical, scientific, technological and digital competencies. In order to raise individuals with the required competencies, teachers need to organize learning environments that can meet this need. While teachers organize such learning environments, they use many different resources such as textbooks, any software, feedback from students, and discussions with colleagues. Choosing the resources to use when preparing a learning environment for mathematics teachers starts with university education and continues throughout their service lives. In this study, all kinds of resources used by mathematics teachers during the practise teaching during their undergraduate education and their service lives, both during the course preparation process and during the lessons, and the reasons for teachers to choose these resources were investigated. As a theoretical framework, a documentational approach to didactics based on interactions between teachers, resources, and factors affecting teachers' professional development was used. In this context, the aim of the study is to reveal the similarities and differences between the documentational geneses processes that teachers create during their practise teaching in the senior year of education faculty and during their services. For the aim of the research, a case study design, which is one of the qualitative research methods, was used. The data were collected in accordance with the documentational approach to didactics using the "Reflective Investigation" data collection method. The study group of the research is two middle school mathematics teachers, determined by criterion sampling method of purposeful sampling methods. The criteria used in determining the sample are as follows: (1) the teachers to have participated in the research process during the practise teaching period, (2) the teachers to be able to expresses themselves clearly (3) the teachers to have been started their services, (4) the teachers to be willing to participate in the research. Although the participants completed their practise teaching periods in public school, they started their services one in a public school and the other in a private school. The findings obtained from the research were analysed with the content analysis method, which is one of the qualitative data analysis methods, and the similarities and differences of documentational formation processes between the practise teaching period and service life were revealed for each teacher. Three main categories that affect teachers' documentational geneses processes were determined in the content analysis: (1) Resources of university education, (2) resources of professional experience, (3) resources from personal inferences during their student years. The relationships between the sub-categories belonging to these three main categories emerging in the research and their relations with each other were discussed.
- Published
- 2020
19. Usage des technologies en mathématiques à l'école maternelle : le travail documentaire des enseignants.
- Author
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BESNIER, SYLVAINE and BUENO-RAVEL, LAETITIA
- Subjects
MATHEMATICS education (Early childhood) ,NUMBER systems ,EDUCATIONAL technology research ,KINDERGARTEN teaching ,EDUCATIONAL resources ,EARLY childhood education - Abstract
Copyright of Review of Science Mathematics & ICT Education is the property of Library & Information Center and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
- Published
- 2014
20. Online paths in mathematics teacher training: new resources and new skills for teacher educators.
- Author
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Gueudet, Ghislaine, Sacristán, Ana, Soury-Lavergne, Sophie, and Trouche, Luc
- Subjects
EDUCATION of mathematics teachers ,ONLINE education ,INFORMATION resources ,EDUCATORS ,SOCIAL interaction ,TEACHER training - Abstract
This paper considers the work carried out by online teacher educators and their professional development. We use the theoretical perspective of the documentational approach that focuses, in this case, on the interaction between teacher educators and the resources they use for their online training work. We thus study the following issues: (1) What kinds of resources do online teacher educators need, and how are such resources modified according to the educators' specific skills and needs? (2) What specific skills are needed for setting up online training for mathematics teachers and how do these skills evolve as teacher education resources are used? We consider both questions simultaneously, while presenting results from a study within a specific teacher training programme in France that proposes 'training paths' on a national platform. These 'paths' are resources designed for teacher educators. We follow the appropriation of two training paths by two educator teams. The ways in which these educator teams were able to appropriate the paths give insights into the teacher educators' skills and, as well, into the resources they need. By looking at their use of resources (as online mathematics teacher educators), we observe and analyse professional geneses, leading to the development of new skills. [ABSTRACT FROM AUTHOR]
- Published
- 2012
- Full Text
- View/download PDF
21. Mathematics teacher education advanced methods: an example in dynamic geometry.
- Author
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Gueudet, Ghislaine and Trouche, Luc
- Subjects
GEOMETRY education ,INQUIRY-based learning ,MATHEMATICS teachers ,MATHEMATICS education ,TEACHER training ,TEACHING - Abstract
We present a research work about an innovative national teacher training program in France: the Pairform@nce program, designed to sustain ICT integration. We study here training for secondary school teachers, whose objective is to foster the development of an inquiry-based approach in the teaching of mathematics, using investigative potentialities of dynamic geometry environments. We adopt the theoretical background of the documentational approach to didactics. We focus on the interactions between teachers and resources: teachers' professional knowledge influences these interactions, which at the same time yield knowledge evolutions, a twofold process that we conceptualise as a documentational genesis. We followed in particular the work of a team of trainees; drawing on the data collected, we analyse their professional development, related with the training. We observe intertwined evolutions and stabilities, consistent with ongoing geneses. [ABSTRACT FROM AUTHOR]
- Published
- 2011
- Full Text
- View/download PDF
22. The co-design of a c-book by students and teachers as a process of meaning generation: The case of co-variation
- Author
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Diamantidis, Dimitris, Kynigos, Chronis, Papadopoulos, Ioannis, University of Athens, Educational Technology Lab, Aristotle University of Thessaloniki, Utrecht University, Uffe Thomas Jankvist, Marja van den Heuvel-Panhuizen, Michiel Veldhuis, and Veldhuis, Michiel
- Subjects
design of digital tools ,c-book ,[SHS.EDU]Humanities and Social Sciences/Education ,[SHS.EDU] Humanities and Social Sciences/Education ,[MATH] Mathematics [math] ,Documentational Approach ,[MATH]Mathematics [math] ,co-variation - Abstract
International audience; In this study we focus on the role of students as co-designers of digital resources for learning mathematics. Students with the use of c-book technology construct in collaboration with their teachers units of narrative blended with artifacts and constructions designed with digital tools for mathematics education, acting as designers. We see the design phase as a learning process for students, searching for new mathematical meanings that emerge around the concept of co-variation. For our analysis we use the lens of Documentational Approach as a means of a deeper understanding of the learning process.
- Published
- 2019
23. Digital curriculum resources in/for mathematics teacher learning. A documentational approach perspective: A documentational approach perspective
- Author
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Gueudet, Ghislaine, Pepin, Birgit, Centre de Recherche sur l'Education, les apprentissages et la didactique (CREAD EA 3875), Université de Brest (UBO)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut Brestois des Sciences de l'Homme et de la Société (IBSHS), Université de Brest (UBO), Technische Universiteit Eindhoven (TU/e), S. Llinares, and O. Chapman
- Subjects
Online platforms ,[SHS.EDU]Humanities and Social Sciences/Education ,Teacher educators ,Instrumentalization ,Document ,Teachers collective work ,Teachers community ,Educative resource ,Curriculum resource ,Open Educational Resources ,[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO] ,Digital resource ,ComputingMilieux_COMPUTERSANDEDUCATION ,Scheme of use ,Documentational approach ,Documentational genesis ,Instrumentation ,Documentation work - Abstract
International audience; The relations between teachers’ interactions with digital resources and teacher education have been the focus of mathematics education research for many years. This interest has been enhanced by the abundance of digital curriculum resources available for teachers and teacher educators; this is likely to lead to new phenomena in terms of teacher learning. The theoretical frame of the documentational approach to didactics (DAD) has been developed to study these new phenomena. Drawing on selected research works, we illustrate the use of this approach to study teacher (and teacher educator) learning with digital resources in different settings. We consider settings where the aim of teacher education through the use of digital resources is explicit: the offer (by educational authorities) of educative resources, digital platforms in particular; or teacher education programs using digital resources. We also study the consequences, in terms of teacher learning, of daily interactions with digital resources: in individual teachers’ work, and their work in collectives. These interactions are intrinsically linked to teacher design. Digital resources offer new means for teacher design, which we regard as part of teacher documentation work. We claim that teachers require help and support to exploit this potential.
- Published
- 2019
- Full Text
- View/download PDF
24. Using schematic representation of resource systems to examine how first year engineering students use resources in their studies of mathematics
- Author
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Hillesund, Eivind, University of Agder (UIA), INDRUM Network, University of Agder, and Sciencesconf.org, CCSD
- Subjects
documentational approach ,hierarchical focus interviews ,schematic representation of resource systems ,Students' practices at university level ,mathematics for engineers ,[SHS.EDU]Humanities and Social Sciences/Education ,[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO] ,[SHS.EDU] Humanities and Social Sciences/Education ,[MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO] ,the role of digital and other resources in mathematics education - Abstract
International audience; Very little research has been done on how students use resources when studying mathematics. My project aim to examine this both quantitatively and qualitatively. The qualitative data collection includes hierarchical focus interviews and schematic representation of resource system, with the intent to impose as little terminology as possible on the students.
- Published
- 2018
25. Ortaokul matematik öğretmen adaylarının internet ortamındaki kaynakları kullanım düzeylerinin incelenmesi
- Author
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Uludağ Üniversitesi/Eğitim Fakültesi/Matematik ve Fen Bilimleri Eğitimi Bölümü. and Broutin, Menekşe Seden Tapan
- Subjects
Ressource ,Pre-service mathematics teachers ,Resource ,İnternet kullanımı ,Usage de l’Internet ,Internet use ,Documentational approach ,Enseignants stagiaires de mathématiques ,Matematik öğretmen adayları ,Didaktiğe dokümantal yaklaşım ,Kaynak ,Approche documentaire - Abstract
Le but de cette recherche est d’analyser l’usage de la méta-ressource Internet, par des futurs enseignant de mathématiques d’une part dans leur vie courante, et d’autre part dans leurs vie professionnelle en vue de préparer des séquences d’enseignement. Cette étude s’est donc attachée à déterminer, via l’approche documentaire, comment des futurs enseignants intègrent l’usage de l’Internet dans la création de leur valise documentaire pour préparer une séquence d’enseignement. Via une analyse quantitative prenant la forme d’enquêtes suivie d’une analyse qualitative sous forme d’entretiens semi-structurés, les facteurs externes et internes qui influent sur le choix des ressources sur Internet pendant le processus de la genèse documentaire dans une situation de préparation de séquences d’enseignement, ont été dégagés. Une des conclusions de cette recherche est que les futurs enseignants utilisent fréquemment Internet pour répondre à des besoins personnels, sociaux ou professionnels. Une autre conclusion de cette recherche est liée au contexte institutionnel qui s’est montré comme étant un facteur majeur dans la construction des schèmes liés à l’usage de l’Internet pour préparer des séquences d’enseignement. Il a été également mis en lumière l’importance de la présence d’un module de formation lié à l’usage de la méta-ressource « Internet » pour préparer des séquences d’enseignement, dans le cursus de formation des futurs enseignants. Bu araştırmanın amacı, matematik öğretmen adaylarının gerek gündelik yaşamlarında gerekse profesyonel yaşamlarında ortaokul düzeyinde bir matematik dersi hazırlama sürecinde, bir meta-kaynak olan İnterneti kullanım düzeylerini incelemektir. Böylece bu çalışma, matematik öğretmen adaylarının, alanlarında bir ders hazırlığı için İnterneti kullanım düzey ve nedenlerini didaktiğe dokümantal yaklaşım çerçevesi ile belirlemeyi hedeflemektedir. Çalışmada karma yöntem kullanılmış olup, nicel veriler frekans analizi, nitel veriler ise betimsel analiz ile çözümlenmiştir. Araştırmanın sonucunda, matematik öğretmen adaylarının, alanlarında bir ders hazırlamak için dokümantal oluşum süreçlerinde, Internet üzerindeki kaynak seçimine etki eden iç ve dış faktörler açığa çıkarılmıştır. Bu araştırmanın sonuçlarından biri, öğretmen adaylarının kişisel, sosyal veya mesleki ihtiyaçlarını karşılamak için İnterneti sıklıkla kullandıklarıdır. Bu araştırmanın bir diğer sonucu ise ders hazırlama sürecinde Internet kullanım şemalarının oluşmasında kurumsal bağlamın temel bir faktör olarak belirlenmiş olmasıdır. Ayrıca, bu çalışma ile öğretmen adaylarının Internet üzerindeki kaynakları ders hazırlıklarında etkili olarak kullanabilmeleri için Internet kaynaklarının kullanımını konu alan derslerin öğretmen eğitiminde yer almasının gerekliliği vurgulanmıştır. The purpose of this research is to analyze the use of the meta-resource Internet, by pre-service mathematics teachers on the one hand in their daily life, and on the other hand in their professional life in order to prepare teaching sequences. This study therefore sought to determine, via the documentational approach, how future teachers integrate the use of the Internet in the construction of their documentational valise to prepare a teaching sequence. Through quantitative analysis in the form of surveys followed by qualitative analysis in the form of semistructured interviews, external and internal factors that influence the choice of Internet resources during the process of documental genesis in a situation of preparation of teaching sequences, have been identified. One of the conclusions of this research is that pre-service teachers frequently use the Internet to meet personal, social or professional needs. Another conclusion of this research is related to the institutional context that has emerged as a major factor in the construction of schemes related to the use of the Internet to prepare teaching sequences. It was also highlighted the importance of the presence, in the curriculum for formation future teachers, of a training module linked to the use of the meta-resource "Internet" to prepare teaching sequences.
- Published
- 2017
26. From instrumental to documentational approach: towards a holistic perspective of teachers' resource systems in higher education
- Author
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Beu Birgit Pepin, L Trouche, Sciences et Société, Historicité, Éducation et Pratiques (EA S2HEP), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon, Avd. for lærer- og tolkeutdanning, Høgskolen i Sør-Trøndelag, and École normale supérieure - Lyon (ENS Lyon)-Université Claude Bernard Lyon 1 (UCBL)
- Subjects
documentational approach ,Higher education ,business.industry ,[SHS.EDU]Humanities and Social Sciences/Education ,General Mathematics ,media_common.quotation_subject ,Perspective (graphical) ,Education ,Presentation ,mathematics teaching ,Resource (project management) ,higher education ,[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO] ,Pedagogy ,Mathematics education ,theoretical approaches ,Psychology ,business ,Instrumental approach ,media_common - Abstract
International audience; This paper is part of a special issue of the journal, dedicated to the theoretical frameworks relevant for research in higher education, and proposing, for each approach, a presentation, and a reaction. This paper is a reaction to another paper of the same special issue (Gueudet et al.), aiming to evidence the interest of the instrumental and documentational approaches.
- Published
- 2014
- Full Text
- View/download PDF
27. Didactisation de pratiques de savoir scientifiques, transactions avec des publics scolaires et non scolaires. Des scientifiques, de leur laboratoire à la Fête de la science
- Author
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Goujon, Catherine, Centre de Recherche sur l'Education, les apprentissages et la didactique (CREAD EA 3875), Université de Brest (UBO)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut Brestois des Sciences de l'Homme et de la Société (IBSHS), Université de Brest (UBO), Université Bretagne Loire, Université de Bretagne Occidentale (UBO), Jean-Marie Boilevin, and Ghislaine Gueudet
- Subjects
culture scientifique ,Théorie de l’Action Conjointe en Didactique (TACD) ,[SHS.EDU]Humanities and Social Sciences/Education ,Joint Action Theory for Didactics (JATD) ,science teaching ,Approche Documentaire ,curation ,enseignement des sciences ,ressources ,système hybride texte-image-son (SHTIS) ,digital curation ,Documentational Approach ,science education ,resources ,text-picture-sound hybrid systems - Abstract
What do we know about scientific knowledge practices in the specific context of the French event « Festival of science »? The research studies this question. We have chosen to investigate three stands in a “Life sciences village” about bones and articulations, underground water and sand. Activities are being carried out by scientists; the public can come from schools, but can also be a general public. We investigate in the scientists preparation of the event in their laboratory, and we look at their ordinary activity too. We observe students of an elementary school before, during and after the event. We refer to the theoretical frameworks of the Joint Action Theory in Didactics, and the Documentational Approach. Our qualitative method is based on case studies. The central data we analyze are videos shot during the investigations. We develop a suitable methodology for this research, based on image processing and digital data curation. We provide descriptions, analysis and results with text-picture-sound hybrid systems. We map out a typology of didactic transactions in the case of joint work of teachers with the same group of students. In this specific framework, we contribute to model concepts as: the genesis triplets (topo genesis, meso genesis and chrono genesis), the didactic transactions, the semiosis process. The research highlights that the activity of didactisation of scientific practices is contiguous with and parallel to its production. It is necessary within research labs themselves and has to adjust to the public. In the stands all knowledge practices are studied: some knowledge practices, inconsistent with scientific knowledge, are replaced in their original context. The activity of didactisation associates knowledge practices (consistent with scientific knowledge) with this scientific knowledge. Its aim is to bring the views of the public closer from those of the scientists. Researchers communicate their scientific activity to a public of non-specialists with artifacts which evidence phenomena. These artefacts are linked and associated with other material and symbolic, semiotic and proxemic, resources. The empiric work had been done in a specific context and with a particular public. These results now need to be implemented in other situations. Methodological and technological resources must be further developed and tested in other research.; Que savons-nous de la didactisation des pratiques de savoir scientifiques dans le contexte d’un événement public comme la Fête de la science ? Notre recherche étudie ces questions ; nous avons retenu comme terrain d’enquête trois stands d’un village des sciences, à propos des os et articulations, des eaux souterraines et du sable. Les ateliers sont menés par des scientifiques ; le public sur lequel nous enquêtons est scolaire ou non scolaire. Nous menons nos enquêtes auprès des chercheurs dans leur laboratoire pendant la préparation de l’événement, mais aussi dans leur activité ordinaire. Nous suivons une classe d’école élémentaire avant, pendant et après l’événement. Nos cadres théoriques sont la théorie de l’action conjointe en didactique, et l’approche documentaire. Notre méthode qualitative est basée sur des études de cas et s’appuie sur des films d’étude. Nous développons une méthodologie adaptée à cette recherche, sur la base de traitements d’images et de curation des données. Nous donnons à voir nos descriptions, nos analyses et nos résultats avec des systèmes hybrides texte-image-son. Nous proposons une typologie des transactions didactiques en situation de travail conjoint de plusieurs professeurs avec le même groupe d’élèves. Dans ce cadre spécifique, nous contribuons à la modélisation de certaines notions clés : le triplet des genèses (topogenèse, mésogenèse et chronogenèse), les transactions didactiques, les sémioses. Notre recherche met en évidence que l’activité de didactisation des pratiques scientifiques est contiguë et parallèle à leur production. Elle est nécessaire au sein même des laboratoires et s’ajuste aux publics. L’activité de didactisation sur les stands prend en compte toute pratique de savoir. Elle vise à replacer dans leur contexte les pratiques incompatibles avec les pratiques scientifiques. Elle prend en compte les pratiques de savoir compatibles avec les pratiques scientifiques, et amène le public à voir les thématiques abordées comme les scientifiques les voient. Les artefacts utilisés par les « chercheurs-médiateurs » sont ainsi conçus pour donner à voir des phénomènes ciblés. Ils sont combinés entre eux et associés à d’autres ressources matérielles et symboliques, sémiotiques et proxémiques. Le travail empirique a été conduit dans un contexte spécifique et sur un public particulier. Nos résultats doivent être mis à l’épreuve dans d’autres situations. Les ressources méthodologiques et technologiques demandent à être développées, testées et intégrées dans le système de ressources d’autres chercheurs.
- Published
- 2016
28. Scientific knowledge practices, didactic transactions with students and a large public. Scientists from their laboratory to the specific context of the French event « Festival of science »
- Author
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Goujon, Catherine, Centre de Recherche sur l'Education, les apprentissages et la didactique (CREAD EA 3875), Université de Brest (UBO)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut Brestois des Sciences de l'Homme et de la Société (IBSHS), Université de Brest (UBO), Université Bretagne Loire, Université de Bretagne Occidentale (UBO), Jean-Marie Boilevin, and Ghislaine Gueudet
- Subjects
culture scientifique ,Théorie de l’Action Conjointe en Didactique (TACD) ,[SHS.EDU]Humanities and Social Sciences/Education ,Joint Action Theory for Didactics (JATD) ,science teaching ,Approche Documentaire ,curation ,enseignement des sciences ,ressources ,système hybride texte-image-son (SHTIS) ,digital curation ,Documentational Approach ,science education ,resources ,text-picture-sound hybrid systems - Abstract
What do we know about scientific knowledge practices in the specific context of the French event « Festival of science »? The research studies this question. We have chosen to investigate three stands in a “Life sciences village” about bones and articulations, underground water and sand. Activities are being carried out by scientists; the public can come from schools, but can also be a general public. We investigate in the scientists preparation of the event in their laboratory, and we look at their ordinary activity too. We observe students of an elementary school before, during and after the event. We refer to the theoretical frameworks of the Joint Action Theory in Didactics, and the Documentational Approach. Our qualitative method is based on case studies. The central data we analyze are videos shot during the investigations. We develop a suitable methodology for this research, based on image processing and digital data curation. We provide descriptions, analysis and results with text-picture-sound hybrid systems. We map out a typology of didactic transactions in the case of joint work of teachers with the same group of students. In this specific framework, we contribute to model concepts as: the genesis triplets (topo genesis, meso genesis and chrono genesis), the didactic transactions, the semiosis process. The research highlights that the activity of didactisation of scientific practices is contiguous with and parallel to its production. It is necessary within research labs themselves and has to adjust to the public. In the stands all knowledge practices are studied: some knowledge practices, inconsistent with scientific knowledge, are replaced in their original context. The activity of didactisation associates knowledge practices (consistent with scientific knowledge) with this scientific knowledge. Its aim is to bring the views of the public closer from those of the scientists. Researchers communicate their scientific activity to a public of non-specialists with artifacts which evidence phenomena. These artefacts are linked and associated with other material and symbolic, semiotic and proxemic, resources. The empiric work had been done in a specific context and with a particular public. These results now need to be implemented in other situations. Methodological and technological resources must be further developed and tested in other research.; Que savons-nous de la didactisation des pratiques de savoir scientifiques dans le contexte d’un événement public comme la Fête de la science ? Notre recherche étudie ces questions ; nous avons retenu comme terrain d’enquête trois stands d’un village des sciences, à propos des os et articulations, des eaux souterraines et du sable. Les ateliers sont menés par des scientifiques ; le public sur lequel nous enquêtons est scolaire ou non scolaire. Nous menons nos enquêtes auprès des chercheurs dans leur laboratoire pendant la préparation de l’événement, mais aussi dans leur activité ordinaire. Nous suivons une classe d’école élémentaire avant, pendant et après l’événement. Nos cadres théoriques sont la théorie de l’action conjointe en didactique, et l’approche documentaire. Notre méthode qualitative est basée sur des études de cas et s’appuie sur des films d’étude. Nous développons une méthodologie adaptée à cette recherche, sur la base de traitements d’images et de curation des données. Nous donnons à voir nos descriptions, nos analyses et nos résultats avec des systèmes hybrides texte-image-son. Nous proposons une typologie des transactions didactiques en situation de travail conjoint de plusieurs professeurs avec le même groupe d’élèves. Dans ce cadre spécifique, nous contribuons à la modélisation de certaines notions clés : le triplet des genèses (topogenèse, mésogenèse et chronogenèse), les transactions didactiques, les sémioses. Notre recherche met en évidence que l’activité de didactisation des pratiques scientifiques est contiguë et parallèle à leur production. Elle est nécessaire au sein même des laboratoires et s’ajuste aux publics. L’activité de didactisation sur les stands prend en compte toute pratique de savoir. Elle vise à replacer dans leur contexte les pratiques incompatibles avec les pratiques scientifiques. Elle prend en compte les pratiques de savoir compatibles avec les pratiques scientifiques, et amène le public à voir les thématiques abordées comme les scientifiques les voient. Les artefacts utilisés par les « chercheurs-médiateurs » sont ainsi conçus pour donner à voir des phénomènes ciblés. Ils sont combinés entre eux et associés à d’autres ressources matérielles et symboliques, sémiotiques et proxémiques. Le travail empirique a été conduit dans un contexte spécifique et sur un public particulier. Nos résultats doivent être mis à l’épreuve dans d’autres situations. Les ressources méthodologiques et technologiques demandent à être développées, testées et intégrées dans le système de ressources d’autres chercheurs.
- Published
- 2016
29. Secondary School Teacher’s Documentation Systems
- Author
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Carole Le Hénaff, Jean-Marie Boilevin, Ghislaine Gueudet, Brigitte Gruson, Alain Jameau, Marie-Pierre Lebaud, Jacques Kerneis, Jocelyne Ménard, Nolwenn Quéré, Centre de Recherche sur l'Education, les apprentissages et la didactique (CREAD EA 3875), Université de Brest (UBO)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut Brestois des Sciences de l'Homme et de la Société (IBSHS), Université de Brest (UBO), and ANR-13-APPR-0006,ReVEA,Ressources vivantes pour l'enseignement et l'apprentissage(2013)
- Subjects
documentational approach ,teachers ,[SHS.EDU]Humanities and Social Sciences/Education ,“valise” methodology ,resources ,ComputingMilieux_MISCELLANEOUS ,professional development - Abstract
International audience
- Published
- 2015
30. The analysis of primary mathematics teachers' lesson document preparing processes
- Author
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Şahin, Burcu Nur Baştürk, Broutin, Menekşe Seden Tapan, and Uludağ Üniversitesi/Eğitim Bilimleri Enstitüsü/İlköğretim Anabilim Dalı/Matematik Öğretmenliği Bilim Dalı.
- Subjects
Lesson documents ,Document preparation ,Öğretim materyali ,Teaching materials ,Doküman oluşturma ,Documentational approach ,Dokümantal yaklaşım ,Ders dokümanı - Abstract
Öğrenme – öğretme sürecinin en önemli öğelerinden biri olan öğretmenlerin öğrencileri için hazırladıkları derslerini yapılandırırken kullandıkları kaynakları nasıl düzenledikleri sorusu bu çalışmanın çıkış noktasını oluşturmaktadır. Bu çalışmanın amacı ilköğretim matematik öğretmenlerinin ders dokümanı hazırlama süreçlerinde ortaya çıkan şemalara ve bu sürece etki eden faktörlere ait elemanları ortaya çıkarmaktır. Bu araştırmada ilköğretim matematik öğretmenlerinin ders dokümanı hazırlama süreçleri "Didaktiğe dokümantal yaklaşım" kuramsal çerçevesi bağlamında incelenerek, bu süreçte ortaya çıkan şemaları ve sürece etki eden faktörleri araştırılmaktadır. Bununla birlikte ders dokümanlarının sahip olduğu ortak özellikler de ortaya konulmaktadır. Araştırmada nitel araştırma yöntemleri kullanılmıştır. Araştırmada genellemeye varmak değil, süreçte ortaya çıkan şemalara ve süreci etkileyen faktörlere ait elemanları tespit etmek amaçlandığından nitel araştırma desenine uygun olarak durum çalışması stratejisi kullanılmıştır. Araştırmanın katılımcıları ölçüt örnekleme yöntemiyle seçilen dört ilköğretim matematik öğretmenidir. Matematik öğretmenlerinin seçiminde (1) mesleki deneyim, (2) paylaşıma açıklık ve (3) gönüllülük ölçütleri kabul edilmiştir. Araştırma kapsamında yapılan görüşme ve gözlemler ile elde edilen veriler analiz edildiğinde, ilköğretim matematik öğretmenlerinin genellikle öğrencilerin öğrenme seviyelerini dikkate alma, geçmiş yıllardaki öğretim deneyimlerinden yararlanma, konuya ayıracağı ders saatine bağımsız olarak karar verme, dersini işlemede sınav sistemine göre hareket etme gibi şemalarına ilişkin elemanlara ulaşılmıştır. Ayrıca öğretmenlerin yardımcı kaynak seçim kriterleri, konuya ilişkin önemli gördükleri noktalar, çalıştıkları kurumun fiziksel etmenleri gibi faktörlerin de doküman hazırlama sürecine etki ettiği söylenebilir. The question of how teachers built their lessons as one of the most important elements of learning and teaching process, defines the starting point of this study. The aim of the study is to analyse the elements of the schemes that are generated during the preparation process of the lesson documents. In this study, "Documentational Approach of Didactics" is utilised in order to reveal the elements of the schemes and factors that affect the lesson document preparation process. Besides, the shared features of the lesson documents are examined. Qualitative research methods are used. As the aim of the study is to examine and define the elements of the schemes of the chosen sample, the results are not generalizable directly. In this study, case study method is utilised. Participants of the study are four primary mathematics teachers that are chosen according to the following features: (1) Professional experience, (2) Collaborativeness, (3) Willingness. The data were obtained by interviews and observations.The data analysis revealed several schemes of teachers: taking care of the learning levels of the students, taking advantage of their teaching experience, deciding the number of the lesson hours independantally and acting on the testing system of the country. In addition, the criteria about the choice of auxiliary resources, the important points of the subject, the physical factors of the school they work for, are affecting the document preparation process.
- Published
- 2015
31. Investigating two trainee teacher educators' transformations of the same resources in technology enhanced mathematics
- Author
-
Kalogeria, Elissavet, Psycharis, Giorgos, Vondrová, Naďa, Konrad Krainer, Naďa Vondrová, Department of Mathematics, Charles University in Prague, Faculty of Education, and ERME
- Subjects
[SHS.EDU]Humanities and Social Sciences/Education ,[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO] ,[SHS.EDU] Humanities and Social Sciences/Education ,[MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO] ,ComputingMilieux_COMPUTERSANDEDUCATION ,Documentational approach ,teacher educators ,digital tools - Abstract
International audience; We address the documentational work of two trainee teacher educators in the context of their practicum in an in-service program concerning the use of digital tools in mathematics. Since they drew upon the same existing resources, we investigated the operational invariants – i.e., implicit aspects of their knowledge and epistemology underlying their designs – that influenced and differentiated their documentational work. The identified operational invariants were (a) their focal points during the observation of other teacher educators' classrooms, (b) the constrains and opportunities provided by the educational context, (c) their epistemologies regarding the role of technology in the teaching of mathematics as well as their conceptions of trainee teachers either 'as students' or 'of students'.
- Published
- 2015
32. Institutional, sociocultural and discursive approaches to research in university mathematics education
- Author
-
Nardi, Elena, Biza, Irene, González-Martín, Alejandro, Gueudet, Ghislaine, Winsløw, Carl, School of Education and Lifelong Learning, University of East Anglia, Norwich, UK, University of East Anglia [Norwich] (UEA)-University of East Anglia [Norwich] (UEA), Département de Didactique [UdeM - Montréal], Université de Montréal (UdeM), Centre de Recherche sur l'Education, les apprentissages et la didactique (CREAD), Institut universitaire de formation des maîtres - Bretagne (IUFM Bretagne), Université de Brest (UBO)-Université de Brest (UBO)-Université européenne de Bretagne - European University of Brittany (UEB)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES), Department of Science Education [Copenhagen], Faculty of Science [Copenhagen], and University of Copenhagen = Københavns Universitet (KU)-University of Copenhagen = Københavns Universitet (KU)
- Subjects
Commognitive approach ,Anthropological theory ,Theoretical approaches in didactics ,[SHS.EDU]Humanities and Social Sciences/Education ,[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO] ,Documentational approach ,Communities of practice ,University mathematics education ,Theory of didactical situations ,Instrumental approach ,ComputingMilieux_MISCELLANEOUS - Abstract
International audience
- Published
- 2014
33. Online paths in mathematics teacher training: new resources and new skills for teacher educators
- Author
-
Ana Isabel Sacristán, Ghislaine Gueudet, Sophie Soury-Lavergne, Luc Trouche, Centre de Recherche sur l'Education, les apprentissages et la didactique (CREAD), Institut universitaire de formation des maîtres - Bretagne (IUFM Bretagne), Université de Brest (UBO)-Université de Brest (UBO)-Université européenne de Bretagne - European University of Brittany (UEB)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES), Sciences et Société, Historicité, Éducation et Pratiques (EA S2HEP), École normale supérieure - Lyon (ENS Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon, European Project: 234870,EC:FP7:SiS,FP7-SCIENCE-IN-SOCIETY-2008-3,S-TEAM(2009), and École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL)
- Subjects
Individualisation ,General Mathematics ,[SHS.EDU]Humanities and Social Sciences/Education ,Training path ,Mathematics teacher education ,Training (civil) ,Education ,Appropriation ,Mathematics education ,ComputingMilieux_COMPUTERSANDEDUCATION ,Documentational approach ,0501 psychology and cognitive sciences ,Training programme ,Investigation ,Teacher educators' professional knowledge ,Online teacher education ,4. Education ,05 social sciences ,Perspective (graphical) ,Professional development ,050301 education ,Teacher education ,Work (electrical) ,[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO] ,Dynamic Geometry ,Online resources ,0503 education ,050104 developmental & child psychology - Abstract
International audience; This paper considers the work carried out by online teacher educators and their professional development. We use the theoretical perspective of the documentational approach that focuses, in this case, on the interaction between teacher educators and the resources they use for their online training work. We thus study the following issues: - What kinds of resources do online teacher educators need, and how are such resources modified according to the educators' specific skills and needs? - What specific skills are needed for setting up online training for mathematics teachers and how do these skills evolve as teacher education resources are used? We consider both questions simultaneously, while presenting results from a study within a specific teacher training programme in France that proposes "training paths" on a national platform. These "paths" are resources designed for teacher educators. We follow the appropriation of two training paths by two educator teams. The ways in which these educator teams were able to appropriate the paths give insights into the teacher educators' skills and, as well, into the resources they need. By looking at their use of resources (as online mathematics teacher educators), we observe and analyse professional geneses, leading to the development of new skills.
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- 2012
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34. Conception collaborative de ressources : l'expérience e-CoLab
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Gilles Aldon, Sciences et Société, Historicité, Éducation et Pratiques (EA S2HEP), École normale supérieure - Lyon (ENS Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon, Dorier, J.-L., Coutat, S., Aldon, Gilles, Dorier, J.-L., Coutat, S., and École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL)
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theory of didactical situations ,collaborative design ,analysis ,théorie des situations didactiques ,conception collaborative ,[SHS.EDU]Humanities and Social Sciences/Education ,[SHS.EDU] Humanities and Social Sciences/Education ,Documentational approach ,analyse ,Approche documentaire ,observation de classes ,ComputingMilieux_MISCELLANEOUS ,class observations - Abstract
International audience; The Theory of Didactical Situations and particularly the concept of " milieu ", when crossed with instrumental and documentational approaches gives powerful tools to think, to create and to share resources in a technological environment. Starting from the work of the e-CoLab team, this paper aims to show how theses analyses are predominant in order to create a model of resources with a view to disseminate to mathematics teachers.; La théorie des situations didactiques et plus particulièrement la notion de milieu couplé à l'approche instrumentale et documentaire fournit des outils d'analyses puissants pour penser, créer et partager des ressources dans un environnement technologique. En partant de l'exemple du travail e-CoLab et des observations de classes, cet article propose de montrer en quoi ces analyses sont des éléments prépondérants de la création et de la mise en oeuvre d'un modèle de ressources en vue d'une diffusion auprès des enseignants de mathématiques.
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- 2012
35. Teachers teaching mathematics with Enciclomedia: A study of documentational genesis
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María Trigueros, Maria Dolores Lozano, Mathematics education, Instituto Tecnológico Autónomo de México, Gueudet, G., Pepin, B. & Trouche, and L.
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Engineering ,documentational approach ,teacher professional development ,business.industry ,Process (engineering) ,[SHS.EDU]Humanities and Social Sciences/Education ,Enciclomedia ,Appropriation ,[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO] ,Material resources ,Pedagogy ,digital resources ,Digital resources ,Mathematics education ,operational invariants ,usages ,business ,Mathematics ,reflection - Abstract
In this chapter, following the documentational approach (Gueudet & Trouche Educational Studies in Mathematics, 71, 199–218, 2009), we examine teachers’ development through the analysis of their appropriation and transformation of resources from “Enciclomedia”, a Mexican national project. To do this, we analyse information about three teachers’ interactions with “Enciclomedia” obtained from different sources: lesson observation, analysis of written materials, and interviews. The three teachers changed their practice in different ways as a result of using “Enciclomedia”. Each produced different kinds of documents in the process of incorporating the digital resources into their activities and in this process they transformed these material resources by using them in particular ways. It is possible to see that the introduction of the program “Enciclomedia” can influence teaching practices and documentational genesis in powerful and different ways, especially when it is accompanied by reflection and discussion with fellow teachers and researchers.
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- 2012
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36. Mathematics teacher education advanced methods: an example in dynamic geometry
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Ghislaine Gueudet, Luc Trouche, Centre de Recherche sur l'Education, les apprentissages et la didactique (CREAD), Institut universitaire de formation des maîtres - Bretagne (IUFM Bretagne), Université de Brest (UBO)-Université de Brest (UBO)-Université européenne de Bretagne - European University of Brittany (UEB)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES), Sciences et Société, Historicité, Éducation et Pratiques (EA S2HEP), École normale supérieure - Lyon (ENS Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon, European Project: 234870,EC:FP7:SiS,FP7-SCIENCE-IN-SOCIETY-2008-3,S-TEAM(2009), and École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL)
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Community of practice ,Process (engineering) ,General Mathematics ,[SHS.EDU]Humanities and Social Sciences/Education ,Dynamic geometry environment (DGE) ,Geometry ,Mathematics teacher education ,Education ,School teachers ,Pedagogy ,Mathematics education ,ComputingMilieux_COMPUTERSANDEDUCATION ,Documentational approach ,0501 psychology and cognitive sciences ,050107 human factors ,4. Education ,05 social sciences ,Professional development ,050301 education ,Training path ,Inquiry-based learning and teaching ,Work (electrical) ,Information and Communications Technology ,[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO] ,Training program ,0503 education - Abstract
International audience; We present a research work about an innovative national teacher training program in France: the Pairform@nce program, designed to sustain ICT integration. The Pairform@nce trainings are grounded in a principle of collective lesson design by teams of trainees; they associate face-to-face and distant training. We study here a training for secondary school teachers, whose objective is to foster the development of an inquiry-based approach in the teaching of mathematics, using investigative potentialities of dynamic geometry environments (DGE). We adopt the theoretical background of the documentational approach to didactics for studying how a training organizing the design of lessons by teachers teams can contribute to teacher professional development, directed in particular towards more inquiry in the classroom supported by DGE. This approach conceptualizes the interactions between teachers and resources as geneses: complex, long-term processes, associating evolutions and stability. In the frame of this approach, for studying these geneses, we develop a specific methodology: we organize a follow-up of teachers during several weeks; during this period, the teachers fill a logbook describing their activity; they answer to questionnaires and interviews; we also collect as completely as possible the material resources involved in their work. We followed in particular the work of a team of trainees; drawing on the data collected, we analyse their professional development, related with the training. We discuss on a more general level, the consequences of a training based on collective documentation work for the integration of technology by mathematics teachers.
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- 2011
- Full Text
- View/download PDF
37. 'Lived resources' and mathematics teachers professional development
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Gueudet, Ghislaine, Centre de Recherche sur l'Education, les apprentissages et la didactique (CREAD), Institut universitaire de formation des maîtres - Bretagne (IUFM Bretagne), Université de Brest (UBO)-Université de Brest (UBO)-Université européenne de Bretagne - European University of Brittany (UEB)-Université de Rennes 2 (UR2), and Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)
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Geneses ,[SHS.EDU]Humanities and Social Sciences/Education ,ComputingMilieux_COMPUTERSANDEDUCATION ,Documentational approach ,Mathematical software ,Teachers' professional development ,Resources - Abstract
International audience; The resources available for mathematics teachers now proliferate. Traditional curriculum material is complemented by online resources of several kinds: software, lesson plans, even classroom videos. Each teacher can develop an individual website; online teachers associations propose digital textbooks etc. These evolutions impact the design and use of resources, the articulation between design and use; they position the teacher as a designer. Studying these issues with a research point of view requires a specific approach. I will present here a documentational approach developed for this purpose. I will illustrate the use of this approach by case studies concerning, on the one hand, individual teachers; on the other hand, teams of teachers involved in a teacher training program using a distant platform.
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- 2010
38. Vers de nouveaux systèmes documentaires des professeurs de mathématiques?
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Gueudet, Ghislaine, Trouche, Luc, Centre de Recherche sur l'Education, les apprentissages et la didactique (CREAD), Institut universitaire de formation des maîtres - Bretagne (IUFM Bretagne), Université de Brest (UBO)-Université de Brest (UBO)-Université européenne de Bretagne - European University of Brittany (UEB)-Université de Rennes 2 (UR2), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES), Institut National de Recherche Pédagogique (INRP), MNESR, and I. Bloch et F. Conne
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instrumental approach ,communautés ,hub document ,[SHS.EDU]Humanities and Social Sciences/Education ,approche instrumentale ,document model ,document pivot ,communities ,ressources ,[MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO] ,Documentational approach ,modèle de document ,resources ,Approche documentaire ,documents - Abstract
We expose in this course a documentary approach, broadening the instrumental approach into three directions: towards teachers' activity, towards all kinds of teaching resources and towards collective genesis processes. We introduce a distinction between available resources and documents elaborated by teachers through a documentary genesis process. We study the structure of individual documentary systems, organized around a hub document. Communities documentary systems involve a documentary model, fostering further geneses.; Nous exposons dans ce cours une approche documentaire, élargissant l'approche instrumentale dans trois directions: vers l'activité du professeur, vers une variété de ressources pour l'enseignement, et enfin vers les processus collectifs de genèse. Nous introduisons une distinction entre ressources disponibles et documents élaborés par les professeurs à travers un processus de genèse documentaire. Nous étudions la structure des systèmes documentaires individuels, organisés autour d'un document pivot. Les systèmes documentaires communautaires intègrent un document modèle, moteur de nouvelles genèses
- Published
- 2009
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