Statistical modeling processes through the lens of instrumental genesis

Digital technology is indispensable for doing and learning statistics. When technology is used in mathematics education, the learning of concepts and the development of techniques for using a digital tool are known to intertwine. So far, this intertwinement of techniques and conceptual understanding, known as instrumental genesis, has received little attention in research on technology-supported statistics education. This study focuses on instrumental genesis for statistical modeling, investigating students’ modeling processes in a digital environment called TinkerPlots. In particular, we analyzed how emerging techniques and conceptual understanding intertwined in the instrumentation schemes that 28 students (aged 14–15) develop. We identified six common instrumentation schemes and observed a two-directional intertwining of emerging techniques and conceptual understanding. Techniques for using TinkerPlots helped students to reveal context-independent patterns that fostered a conceptual shift from a model of to a model for. Vice versa, students’ conceptual understanding led to the exploration of more sophisticated digital techniques. We recommend researchers, educators, designers, and teachers involved in statistics education using digital technology to attentively consider this two-directional intertwined relationship.

Designing Combinations of Physical and Digital Manipulatives to Develop Students’ Visualisation

This paper focuses on two main objectives. The first, to describe and characterise instrumental approach involving artefact and instrument differentiation, instrumental genesis and orchestration along with the instrument-mediated activity model. The second, to present and discuss one of five cube cross-section lessons designed and carried out in our mixed methods research project. Altogether, a paper workbook, dynamic applets and 3D prints form a five-set toolkit, each corresponding to one of the five designed lessons. The main research idea was to explore how digital and physical manipulatives could be integrated into solid geometry lessons to support the development of students’ visualisation. In this paper, Lesson 2 will be described in detail, which, like the others, has been particularly influenced by the instrumental approach. Its individual attributes will be depicted according to the personally adapted activity model.

A integração de recursos digitais em práticas de ensino e aprendizagem – uma perspectiva teórica apresentada no grupo WG4 durante a Conferência Internacional Re(s) sources 2018 – Lyon, FrançaThe integration of digital resources into teaching and learning practices – a theoretical perspective presented in the WG4 group during Conference International Re(s)sources 2018 - Lyon, French

Este pôster apresenta a contribuição do Grupo de Trabalho 4 (WG 4): Transições para recursos digitais: mudança, invariância e orquestração, na conferência internacional Re(s)sources 2018 Conference - Compreendendo o Trabalho dos Professores Por Meio de Suas Interações Com Recursos para o Ensino - realizada entre os dias 28 e 30 de maio no Instituto Francês de Educação em Lyon, França. A apresentação, discussão e o trabalho coletivo desse grupo abordaram tópicos específicos relacionados com recursos digitais que se tornaram parte importante dos sistemas de recursos dos professores e alunos. A integração de recursos digitais em práticas de ensino e aprendizagem levanta muitas questões para professores e educadores. O Grupo de Trabalho WG4 buscou responder essas questões a partir de perspectivas teóricas, incluindo gênese instrumental, orquestração instrumental e gênese documental. Para esse pôster focamos as contribuições que o Grupo de Trabalho 4 (WG4), no qual os autores deste pôster estiveram participando das discussões sobre as pesquisas apresentadas referentes aos conceitos de recurso e documento na Gênese Documental de Gueudet e Trouche.ResumenEste post presenta la contribución del Grupo de Trabajo 4 (WG4): Transiciones a recursos digitales: cambio, invariancia y orquestación, en la conferencia internacional Re(s)sources 2018 Conference - Entendiendo el trabajo de los profesores por medio de sus interacciones con recursos la Enseñanza - realizada entre los días 28 y 30 de mayo en el Instituto Francés de Educación en Lyon, Francia. La presentación, discusión y el trabajo colectivo de este grupo abordaron temas específicos relacionados con recursos digitales que se convirtieron en parte importante de los sistemas de recursos de los profesores y alumnos. La integración de recursos digitales en prácticas de enseñanza y aprendizaje plantea muchas cuestiones para profesores y educadores. El Grupo de Trabajo WG4 buscó responder estas cuestiones a partir de perspectivas teóricas, incluyendo génesis instrumental, orquestación instrumental y génesis documental. Para este póster enfocamos las contribuciones que el Grupo de Trabajo 4 (GT4), en el cual los autores de este póster estuvieron participando en las discusiones sobre las investigaciones presentadas referentes a los conceptos de recurso y documento en el Génesis Documental de Gueudet y Trouche.Résumé Cette affiche présente la contribution du Groupe de travail 4 (WG4): Transitions aux ressources numériques: changement, invariance et orchestration, à la conférence internationale Re(s)sources Conférence 2018 - Comprendre le travail des enseignants à travers leurs interactions avec les ressources pour o Enseignement - tenu entre le 28 et le 30 mai à l'Institut Français de l'Education à Lyon, France. La présentation, la discussion et le travail collectif de ce groupe ont porté sur des sujets spécifiques liés aux ressources numériques qui sont devenues une partie importante des systèmes de ressources des enseignants et des étudiants. L'intégration des ressources numériques dans les pratiques d'enseignement et d'apprentissage soulève de nombreuses questions pour les enseignants et les éducateurs. Le groupe de travail WG4 a cherché à répondre à ces questions à partir de perspectives théoriques, y compris la genèse instrumentale, l'orchestration instrumentale et la genèse documentaire. Pour cette affiche, nous mettons l'accent sur les contributions du Groupe de Travail 4 (WG4), dans lequel les auteurs de cette affiche participaient aux discussions sur les recherches présentées sur les concepts de ressource et de document dans la Genèse documentaire de Gueudet et Trouche. AbstractThis poster presents the contribution of Working Group 4 (WG4): Transitions to digital resources: change, invariance and orchestration, at the international conference Re(s)sources 2018 Conference - Understanding Teachers' Work Through Their Interactions with Resources for o Teaching - held between the 28th and 30th of May at the French Institute of Education in Lyon, France. The presentation, discussion and collective work of this group addressed specific topics related to digital resources that have become an important part of the resource systems of teachers and students. The integration of digital resources into teaching and learning practices raises many questions for teachers and educators. The Working Group WG4 sought to answer these questions from theoretical perspectives, including instrumental genesis, instrumental orchestration and documentary genesis. For this poster, we focus on the contributions of Working Group 4 (WG4), in which the authors of this poster were participating in the discussions on the researches presented regarding the concepts of resource and document in the Documentary Genesis of Gueudet and Trouche.

Instrumentos mediadores na atividade linguageira de professores iniciantes de francês (Mediating instruments in the linguistic activity of beginning teachers of French)

O presente artigo analisa o discurso de dois professores estagiários de Francês como língua estrangeira (FLE), que participaram de um processo dialógico de (co)análise da atividade, denominado autoconfrontação. Objetivamos investigar o uso de instrumentos mediadores na atividade destes sujeitos. Empregamos a teoria sócio-histórico-cultural, de Vigotski, a teoria da gênese instrumental, os estudos da Clínica da Atividade e da Ergonomia da Atividade e os aportes da filosofia bakhtiniana da linguagem. Em nossos resultados, evidenciamos, a partir de marcas linguístico-discursivas dos estagiários, o uso de instrumentos empregados com o fito de mediar e auxiliar na realização de prescrições que abrangem aspectos civilizacionais no ensino de FLE.PALAVRAS-CHAVE: Instrumentos; Atividade mediada; Professor iniciante; Análise da atividade; Autoconfrontação. This article analizes the discourse of two French foreign language trainees (FLE), who participated in a dialogical process of (co)analysis of the activity, called self-confrontation. We aim to investigate the use of mediating instruments in the activity of these subjects. We used the socio-historical-cultural theory of Vygotsky, the theory of instrumental genesis, the studies of the Clinic of Activity and Ergonomics of Activity and the contributions of Bakhtin’s language. In our results, we show the use of instruments used for the purpose of mediating and assisting in the accomplishement of prescriptions that cover civilizational aspects in the teaching of FLE. KEYWORDS: Instruments; Mediated activity; Beginning teacher; Activity analysis; Self-Confrontation.