Prospective mathematics teachers interacting in a chat and emerging different scopes about the definition of polyhedron

In mathematics education, research studies that analyze the construction of geometric concepts through interactions on chat are scarce. This study focuses on prospective mathematics teachers (PMTs) discussing about the definition of polyhedrons. The report is part of an ongoing research project1 that analyses interactions in virtual learning environments (VLE). One case study will be discussed. The chat proved to be a scenario that improved PMTs reflecting about the definition of polyhedrons in three scopes: one in the context of geometric solids, another one focused on its elements (faces, vertices and edges) and still another one centered in the number of dimensions

Promoting Andean children's learning of science through cultural and digital tools

Conference Theme: To see the world and a grain of sand: Learning across levels of space, time, and scaleIn Peru, there is a large achievement gap in rural schools. In order to overcome this problem, the study aims to design environments that enhance science learning through the integration of ICT with cultural artifacts, respecting the Andean culture and empower rural children to pursue lifelong learning. This investigation employs the Cultural-Historical Activity Theory (CHAT) framework, and the Design-Based Research (DBR) methodology using an iterative process of design, implementation and evaluation of the innovative practice.published_or_final_versio

Landscapes of Investigation

Creating landscapes of investigation is a primary concern of critical mathematics education. It enables us to organise educational processes so that students and teachers are able to get involved in explorations guided by dialogical interactions. It attempts to address explicit or implicit forms of social injustice by means of mathematics, and also to promote a critical conception of mathematics, challenging the assumption that the subject represents objectivity and neutrality. Landscapes of Investigation provides many illustrations of how this can be done in primary, secondary, and university education. It also illustrates how exploring landscapes of investigation can contribute to mathematics teacher education programmes. This edited volume is the result of a collaboration established through the Colloquium in Research in Critical Mathematics Education, which took place in 2016, 2018, and 2019 in Brazil. Its twenty-eight contributors are young researchers from Brazil, Chile, Colombia, India, Mexico and the USA, who are dedicated to the further development of critical mathematics education. Organised in eighteen chapters, the volume presents examples of engaging students from a diversity of social and economic backgrounds, age ranges, and abilities across different countries. The chapters present original findings on the social aspects of all levels of mathematics education. Landscapes of Investigation is of particular relevance to those with an interest in the potential of mathematics education to challenge social injustices

Landscapes of Investigation

Creating landscapes of investigation is a primary concern of critical mathematics education. It enables us to organise educational processes so that students and teachers are able to get involved in explorations guided by dialogical interactions. It attempts to address explicit or implicit forms of social injustice by means of mathematics, and also to promote a critical conception of mathematics, challenging the assumption that the subject represents objectivity and neutrality. Landscapes of Investigation provides many illustrations of how this can be done in primary, secondary, and university education. It also illustrates how exploring landscapes of investigation can contribute to mathematics teacher education programmes. This edited volume is the result of a collaboration established through the Colloquium in Research in Critical Mathematics Education, which took place in 2016, 2018, and 2019 in Brazil. Its twenty-eight contributors are young researchers from Brazil, Chile, Colombia, India, Mexico and the USA, who are dedicated to the further development of critical mathematics education. Organised in eighteen chapters, the volume presents examples of engaging students from a diversity of social and economic backgrounds, age ranges, and abilities across different countries. The chapters present original findings on the social aspects of all levels of mathematics education. Landscapes of Investigation is of particular relevance to those with an interest in the potential of mathematics education to challenge social injustices

Proceedings of the Seventh Congress of the European Society for Research in Mathematics Education

International audienceThis volume contains the Proceedings of the Seventh Congress of the European Society for Research in Mathematics Education (ERME), which took place 9-13 February 2011, at Rzeszñw in Poland

How online small groups co-construct mathematical artifacts to do collaborative problem solving

Developing pedagogies and instructional tools to support learning math with understanding is a major goal in math education. A common theme among various characterizations of mathematical understanding involves constructing relations among mathematical facts, procedures, and ideas encapsulated in graphical and symbolic artifacts. Discourse is key for enabling students to realize such connections among seemingly unrelated mathematical artifacts. Analysis of mathematical discourse on a moment-to-moment basis is needed to understand the potential of small-group collaboration and online communication tools to support learning math with understanding.This dissertation investigates interactional practices enacted by virtual teams of secondary students as they co-construct mathematical artifacts in an online environment with multiple interaction spaces including text-chat, whiteboard, and wiki components. The findings of the dissertation arrived at through ethnomethodologically-informed case studies of online sessions are organized along three dimensions: (a) Mathematical Affordances: Whiteboard and chat spaces allow teams to co-construct multiple realizations of relevant mathematical artifacts. Contributions remain persistentlyavailable for subsequent manipulation and reference in the shared visual field. The persistence of contributions facilitates the management of multiple threads of activities across dual media. The sequence of actions that lead to the construction and modification of shared inscriptions makes the visual reasoning process visible.(b) Coordination Methods: Team members achieve a sense of sequential organization across dual media through temporal coordination of their chat postings and drawings. Groups enact referential uses of available features to allocate their attention to specific objects in the shared visual field and to associate them with locally defined terminology. Drawings and text-messages are used together as semiotic resources in mutually elaborating ways.(c) Group Understanding: Teams develop shared mathematical understanding through joint recognition of connections among narrative, graphical and symbolic realizations of the mathematical artifacts that they have co-constructed to address their shared task. The interactional organization of the co-construction work establishes an indexical ground as support for the creation and maintenance of a shared problem space for the group. Each new contribution is made sense of in relation to this persistently available and shared indexical ground, which evolves sequentially as new contributions modify the sense of previous contributions.Ph.D., Information Science and Technology -- Drexel University, 200

Proceedings of the tenth international conference Models in developing mathematics education: September 11 - 17, 2009, Dresden, Saxony, Germany

This volume contains the papers presented at the International Conference on “Models in Developing Mathematics Education” held from September 11-17, 2009 at The University of Applied Sciences, Dresden, Germany. The Conference was organized jointly by The University of Applied Sciences and The Mathematics Education into the 21st Century Project - a non-commercial international educational project founded in 1986. The Mathematics Education into the 21st Century Project is dedicated to the improvement of mathematics education world-wide through the publication and dissemination of innovative ideas. Many prominent mathematics educators have supported and contributed to the project, including the late Hans Freudental, Andrejs Dunkels and Hilary Shuard, as well as Bruce Meserve and Marilyn Suydam, Alan Osborne and Margaret Kasten, Mogens Niss, Tibor Nemetz, Ubi D’Ambrosio, Brian Wilson, Tatsuro Miwa, Henry Pollack, Werner Blum, Roberto Baldino, Waclaw Zawadowski, and many others throughout the world. Information on our project and its future work can be found on Our Project Home Page http://math.unipa.it/~grim/21project.htm It has been our pleasure to edit all of the papers for these Proceedings. Not all papers are about research in mathematics education, a number of them report on innovative experiences in the classroom and on new technology. We believe that “mathematics education” is fundamentally a “practicum” and in order to be “successful” all new materials, new ideas and new research must be tested and implemented in the classroom, the real “chalk face” of our discipline, and of our profession as mathematics educators. These Proceedings begin with a Plenary Paper and then the contributions of the Principal Authors in alphabetical name order. We sincerely thank all of the contributors for their time and creative effort. It is clear from the variety and quality of the papers that the conference has attracted many innovative mathematics educators from around the world. These Proceedings will therefore be useful in reviewing past work and looking ahead to the future