Multiple representations of a given mathematical object/concept are one of the biggest difficulties encountered by students. The aim of this study is to investigate the impact of the use of visual representations in teaching and learning algebra. In this paper, we analyze the transformations from and to visual representations that were performed by 18 students (aged between 10 and 13) in a task designed to explore a figural pattern. The data were collected from an audio recording of the class, the students’ work, and the teacher’s notes about each lesson. The results confirm that visual representations are important. However, visual treatments of any kind of representation are decisive, since they give students other possibilities for seeing and understanding tasks, continuity and flexibility in their activities, and the ability to make conversions between representations. The creative realization of visual treatments is necessary, and the teacher has a significant role in helping students to learn how to do this.
There is a growing presence of technology in the daily lives of elementary school students, with a recent exponential rise due to the constraints of remote teaching during the COVID-19 pandemic. It is important to understand how the education system can contribute to helping students develop the required skills for technological careers, without neglecting its obligation to create conditions that allow them to acquire transversal skills and to enable them to exercise full citizenship. The integration of Educational Robotics and block programming activities in collaborative learning environments promotes the development of computational thinking and other ICT skills, as well as critical thinking, social skills, and problem solving. This paper presents a theoretical proposal of a didactic sequence for the introduction to educational robotics and programming with Scratch Jr. It is composed of three learning scenarios, designed for elementary school teaching. Its main goal is to create conditions that favour the development of computational thinking in a collaborative learning environment. With increasing complexity and degree of difficulty, all the tasks root from a common problem: How can we create an algorithm that programs the robot/sprite to reach a predetermined position?
The proper integration of technology in teaching and learning processes must consider the role of teachers and students, as well as the design of tasks and the context in which they are implemented. Teachers’ perceived self-efficacy significantly influences their willingness to integrate educational robotics (ER) into their practice, so initial teacher training should provide opportunities for teachers to participate in structured activities that integrate ER. In this study, a class of pre-service teachers from an initial teacher training programme were provided with their first contact with an ER platform through the use of a simulator. We present the design process of a student exploration guide and teacher guide, developed over three iterative cycles of implementation, assessment and redesign. The analysis of the data collected allowed for improvements in the design of the tasks, the graphic component of the student exploration guide, and more precise indications for the teacher’s actions. The main contribution of this study is the chain orchestration between the simulator, student exploration guide and teacher guide, which allowed pre-service teachers to solve a set of challenges of increasing complexity, thereby progressively decreasing their difficulties and contributing to an adequate integration of ER in their future teaching practices.
1 April 2024 in EURASIA Journal of Mathematics, Science and Technology Education
This paper seeks to understand the impact of a training program on 19 pre-service primary school teachers’ perceptions towards educational robotics (ER). The training program is based on a reflective process of design and implementation of a learning scenario during the practicum, using a pre-experimental design. Quantitative data were collected through a questionnaire applied at three moments of the intervention: pre-intervention, post-intervention 1 (19 weeks after), and post-intervention 2 (37 weeks after). The results show that the features of the proposed training program positively influenced the pre-service teachers’ (PST) perceptions towards ER. Experiencing curricular integration of ER and participation in a reflective process of learning scenario design positively influenced their perceptions in post-intervention 1. After experiencing the integration of ER in the practicum class, PST adjusted their positive perceptions in post-intervention 2. PST also displayed a decrease in neutrality in their perceptions in post-intervention 1 and post-intervention 2. Given the limited sample, it’s not possible to generalize these results, however they have implications for initial teacher training programs dedicated to technology integration. PST must be allowed to confront their preconceived perceptions of integrating technology into teaching and learning processes with the reflective process of designing and implementing a lesson plan that integrates technology during the practicum.