Search Results (8)

According to Norway’s Core Curriculum all students are to learn about Sámi issues, and the subject of mathematics is not exempt from it. Central to the Sámi tradition is non-standardized individual body-based measuring. Two Sámi pre-service teachers taught Sámi traditional measuring in an urban school where most students are non-Sámi. Their idea was for students to experience the usefulness of using their own bodies as measuring tools. Afterwards, a teacher educator interviewed the pre-service teachers about their experiences. The teaching unit was planned as if it were to be taught in a Sámi school, except that the language of instruction was Norwegian. Analysis shows how the teaching unit aligns with the suggestions and recommendations of Norway’s Truth and Reconciliation Commission. Analysis with respect to the Theory of Didactical Situations framework, TDS, which has not been developed for Indigenous education, show that TDS contributes to improving the teaching unit’s plan. We recommend that Sámi traditional measuring should be taught by Sámi teachers to more non-Sámi students, and we present a revised teaching plan. However, because there is a significant lack of Sámi teachers, we recommend that non-Sámi teachers use our plan as a model for teaching Sámi traditional measuring. Full article

Video-based teacher training has become an important component of teacher education. A special form of instructional videos is scripted videos, also known as staged videos. They can be used to accomplish several didactic objectives and visualise problematic situations, such as severe classroom disruptions caused by specific behavioural motives, which are very difficult to videotape in a real classroom. However, reservations exist due to limited authenticity, and thus content validity of staged videos. This paper describes the process of a theory-led script development as the key role for authentic and valid scripts. Therefore, we refine four crucial criteria, relevant, engaging, challenging, and realistic, for staged videos dealing with classroom disruptions. We show the content–validation process with reference to the applied theory-led criteria. A key output of this study is a manual for the development of scripted videos which will be perceived as authentic, and which reach the intended cognitive demands. An expert validation and two evaluative studies with data from 274 and 70 preservice teachers confirm the success of the final products. Full article

This paper presents research work in which an innovative didactic proposal was designed for the study of 3D metric geometry in the second year of A-level courses (secondary education) in the specialty of the sciences. The designed didactic proposal has the format of a workshop of geometry practices and is framed in the Didactic Situations Theory and in the Anthropological Theory of the Didactic. Although the mentioned theories, which the French school has developed since the seventies, are widely known and studied by secondary school mathematics teachers during their training in pedagogy, especially in Spanish- and French-speaking countries, their innovative approach has not been fully implemented in the field of algebraic geometry. Mathematics textbooks follow the traditional approach in which the teacher simply provides the contents and instructs the student, who captures these concepts and reproduces them as they have been supplied. In the presented didactic proposal, the approach proposed by Brousseau is followed, in which three fundamental elements take part: student, teacher, and the didactic environment. The teacher is the one who facilitates the environment in which the student builds his knowledge. In the proposal the didactic contract is stablished, the didactic situations are designed, and the means and didactic variables for the study of 3D metric geometry are chosen. The methodology followed in this study consisted of identifying educational problems; describing the theoretical framework; developing the didactic proposal; and analysis, reflection, and criticism of this training product. The contextualization of the geometry workshop in the field of the construction of structures and the use of deductive reasoning techniques that are applied in synthetic geometry and also in the building information modeling (BIM) methodology may be a way of showing the use of analytical geometry in the industries of engineering and architecture; they also serve as an opportunity for students to better understand this mathematical work. Full article

Task design, in general, and task design in a technological environment, is attracting the attention of educational researchers. The present research investigates task design of prospective teachers in the Scratch programming environment. A total of twenty-three female prospective teachers participated in a professional development program. They were in their third academic year majoring in teaching mathematics and computer science in the middle school. The prospective teachers attempted to design mathematics-based programming problems. The present research utilizes the theory of didactical situations in mathematics, specifically the situation types, the paradoxes of the didactical contract and the situation components, to study the task design of the prospective teachers. It does that by focusing on one group of prospective teachers. The research results indicated that the prospective teachers were concerned mainly with the situation of information, situation of reference and situation of action. Doing so, they were concerned with the paradox of the said and the unsaid, the paradox of uncertainty, and the paradox of devolution. In addition, they took care of both algorithmic and creative reasoning. They also took care of students’ devolution, where this devolution was conditioned with following an institutionalization. They were also concerned with giving students autonomy and encouraging decision making regarding the solution of the problem. Furthermore, they planned to enable students’ control over their learning. Full article

There is, in France, a long-term tradition of research in the didactics of mathematics. In this paper, we revisit this tradition using, as a specific lens, the research carried out on the educational use of digital tools and resources for teaching and learning mathematics. We first briefly introduce this tradition and the three main theories at the base of it: the theory of didactical situations, the theory of conceptual fields, and the anthropological theory of the didactic. Then, considering three different technological lenses, i.e., dynamic geometry environments, computer algebra systems, and digital resources, we show how these theories and the long-term connection established in this tradition with the fields of cognitive ergonomics and computer sciences have influenced technological research and its outcomes. We also show that, conversely, didactic technological research has led to original and influential theoretical constructions, such as the instrumental approach and the documentational approach to didactics, and that it has contributed in a substantial way to the opening of this didactic tradition to other didactic cultures and other communities, beyond the didactic one. Full article

This article proposes a model that describes and frames sustainability commitment. The model is based on didactic theory and pragmatic philosophy and is informed by several empirical studies on environmental and sustainability education (ESE) practice. The intention is for the model to serve as a critical perspective on ESE practices in secondary and upper secondary schools, and to offer a framework for the development of future practice with emphasis on teachers’ choices of content and teaching methods. The model suggests that a sound commitment is situated in the intersection of the intellectual, emotional, and practical aspects of sustainability. It is argued that: The intellectual aspect is essential for giving the commitment scientific rigor and a critical stance; emotions are vital for students to become dedicated; and skills to carry out appropriate actions for change is necessary for playing an active role in providing a sustainable transformation of society. Full article

Despite the construct of challenge being recognized as an essential element of mathematics instruction, concerns have been raised about whether such approaches benefit students with diverse academic needs. In this article, we focus on the beliefs and instructional practices of teachers teaching students in the first three years of school (5 to 8 years of age). These teachers participated in professional learning focused on challenging mathematical tasks differentiated through their open-ended design and the use of enabling and extending prompts. The instructional practices are explained using the Theory of Didactical Situations. Questionnaire data from pre-intervention (n = 148) and post-intervention (n = 100) groups of teachers indicated that teachers in the post-intervention group held more negative beliefs than those in the pre-intervention group about the capability of instructional approaches involving a priori grouping of students by performance levels. Interviews with ten teachers from the post-intervention group revealed and characterized the ways teachers employed open-ended tasks with enabling and extending prompts to engage all learners. Findings reveal that teachers knowing their students as individual learners accompanied by knowledge of a range of teaching practices to differentiate instruction are central to engaging all learners. Full article

This study aims to analyze how pre-service informatics teachers design learning scenarios with robotics to teach programming fundamentals and to promote computational thinking skills. A descriptive and exploratory case study design was implemented with 26 pre-service informatics teachers. Data were collected from the participants using qualitative and quantitative instruments. The main results pointed out the affordances and possibilities of the use of learning scenarios with robotics to teach programming fundamentals and to promote computational thinking skills as well as a strong path to promote the application of contents of the other Science, Technology, Engineering, Arts and Mathematics (STEAM) areas. Another significant finding was the impact of the didactic experience on the level of interest and self-confidence of the pre-service teachers in using robotics for teaching purposes. The results showed the importance of these didactics experiences to the pre-service teachers preparation and to apply the pedagogic approaches they have learned in theory in practical activities and to transfer this knowledge to new pedagogical situations and problems. Full article