In this paper, we offer three examples from our research projects on both technological and pedagogical innovations to illustrate the impact of rapid technology changes on research. Members of our research team both developed and used technology applications in their research projects, utilizing design-based research (DBR). During the experiments, we encountered new challenges by the end of the research cycle due to updates in technologies. Although we had an idea of how to redesign the project for the next cycle based on the analyses of data, we noticed that we needed to not only redesign our approaches based on the research results but the changes in technologies were so rapid that materials and pedagogies needed to be altered as well. In our article, we propose an additional aspect to be considered in DBR while researching technology integration or innovative technologies. Moreover, the rapid change in technology raises further challenges to teachers’ professional development and the integration of those innovative technologies in classrooms. We anticipate our work to contribute to the development of technology resources and related pedagogies as well as the refinement of research methodologies in technology environments. Our contributions for the development of technology resources and refinement of research methods in technology-supported learning environments should, among other things, contribute to a less complex and at the same time more sustainable integration of pedagogical innovations into scientific and school practices.

In this paper we propose STEAM practices that would foster mathematics learning through modelling architecture while connecting to culture and history. The architectural modelling process is applied by the teachers as participants of these practices from different countries allowing a broad cultural and historical connection to mathematics education. The modelling is implemented in GeoGebra platform as it is an open-source platform to allow teachers to model on a mathematics basis. The architectural modelling process does not provide participants with steps to follow but rather allows them to explore the architectural models’ components and construct them with various approaches which may foster problem solving techniques. We aim to investigate how different phases of this approach (such as motivation, modeling, and printing process) reflect on opportunities of learning in STEAM education, with a particular lens in mathematical development from open tasks. This paper will show two use cases that took place in Upper Austria and the MENA region.

This paper aims to discuss the Technological Pedagogical Content Knowledge (TPACK) development by mathematics teachers (preservice and inservice) that participated in an online course for developing educational apps and puzzles with GeoGebra. Theoretical foundations are based on the authors Punya Mishra, Matthew J. Koehler et al, regarding TPACK framework and Margaret Niess et al regarding the development of TPACK by mathematics teachers. The research method is qualitative, and to analyze the thoughts and ideas discussed by the participants, we used the Discursive Textual Analysis. In this regard, three representative categories were used to build the following metatexts: instructional approaches, classroom environment management and teacher’s professional development. Through the Discursive Textual Analysis, it was possible to understand the participants concerns in creating different instructional approaches using Information and Communication Technologies, once they realized that dealing with digital natives requires pedagogical innovations, supported by new technologies, and new ways to configure and manage classroom environments permeated by digital resources.

Recognising the challenges involved in understanding the knowledge that teachers need to develop to use technology in their teaching dynamics, we examined the prior research that has not clearly revealed strategic changes for teacher preparation in the digital age. The goal was to expand on the current understandings of the nature of technological pedagogical content knowledge (TPCK/TPACK) and provide a launchpad for future research by teacher educators as they contemplate revisions in the education of teachers to better prepare them for teaching in the digital age. To do so, we conducted qualitative meta-synthesis research. Within this context, we identified interpretations and comprehensions that pushed us forward in defence of new perspectives on the nature of this knowledge, regarding the comprehension of TPCK/TPACK as a transformative and homogenous knowledge; TPCK/TPACK’s levels of development, including a new first level; and the need for and challenges of redesigning teacher education. Implications for practice or policy: To better prepare teachers to teach, teachers’ educators should understand TPCK/TPACK as a homogeneous and transformative knowledge. Teachers’ training programmes should realize that often teachers are not aware of the of the possibilities of using technologies to teach. Teachers should have access to continuous learning to keep developing their own TPCK/TPACK during their entire career. Teachers and teachers’ educators should understand TPCK/TPACK developing as a continuous and individual process and not as something standardised.

Palestra de encerramento da V Semana Acadêmica da Licenciatura em Matemática do IFRS, Campus Caxias do Sul, realizada de 03 a 06 de novembro de 2015. A apresentação foi dividida em três tempos, com a discussão de ideias e troca de propostas desenvolvidas com o software GeoGebra. Inicialmente, com a divulgação do trabalho “3 problemas que desafiam nossa intuição resolvidos com o GeoGebra”, a perspectiva foi propor uma reflexão sobre os benefícios do uso do software GeoGebra como alternativa ao material concreto. Embora a comparação com recursos manipulativos seja feita, a presente proposta não teve qualquer interesse em desencorajar o uso destes, apenas avaliar situações em que o recurso da geometria dinâmica se apresenta como elemento para enriquecer o processo de visualização e compreensão de conceitos e ideias. Ainda, nesse sentido, a conversa seguiu com o compartilhamento de outras duas práticas, “Máquinas Da Vinci” e “Cores Dinâmicas”, que consideram o aluno como agente do processo. Essas experiências, iniciadas em práticas no Brasil, tiveram contribuições significativas da participação do autor em um programa de capacitação de professores na Finlândia, que tinha o modelo pedagógico PBL – Project / Problem Based Learning – Projetos de Aprendizagem (ou Pedagogia de Projetos) / Aprendizagem a partir de Problemas – como uma de suas premissas básicas. Neste sentido, a ideia é valorizar modelos de aprendizagem centrados no aluno em um sistema em que a aprendizagem é tradicionalmente centrada no professor. Discutir essa abordagem, bem como alguns aspectos relativos ao processo criativo e argumentativo na aprendizagem da matemática, são alguns dos objetivos específicos destes trabalhos. Por fim, o intuito foi dividir com os demais participantes alguns recursos recentes da plataforma GeoGebra, apresentados à comunidade internacional na conferência GeoGebra Global Gathering, em Linz/Áustria, em Julho de 2015, e na qual estiverem presentes os professores Diego Lieban e Maria Alice Gravina.