In this work, we explore the presence of stereotypes in pre-university students with respect to gender, science, and scientists. The possible differences between boys and girls, school stage, and rurality are analyzed. For this purpose, a sample of 404 participants between 13 and 18 years old were delivered a form with items from the Questionnaire on Opinions about Science, Technology, and Society. The responses were offered using a five-point Likert scale and agreement percentages were calculated. Descriptive and inferential statistics were used for the analysis, where the effect size was calculated for items associated with any of the three factors. Our findings show that the stereotyped ideas of gender in science were more intense in Compulsory Secondary Education (CSE) students in rural areas than in High School (HS) students from urban areas. In addition, perceptions of science and scientists showed greater agreement for CSE than for HS students. However, no differences were found between girls and boys. Regarding science items, there was a major agreement on the relationship between science and technology with problem solving, regardless of sex or school rurality. Finally, reflections on stereotypes and the presence of girls in STEM careers are provided.

No abstract

Students with autism spectrum disorder frequently face challenges when learning mathematical concepts. For example, they may have difficulties solving mathematical word problems, in particular Cartesian product problems. This research is a case study with a multiple probe design in which the participants were three students diagnosed with autism spectrum disorder. A conceptual model-based problem-solving approach adapted to the characteristics of the participants was used to teach them how to solve Cartesian product word problems introduced sequentially in the instruction (first multiplication, then division, and finally both operations). The results show a functional relationship between the intervention and the students’ performance. The three participants generalized their learning to two-operation Cartesian product problems (an addition and a multiplication). Moreover, two of them retained what they learned 6 weeks after completing the instruction. The implications for teaching this and other mathematical content to students with autism are discussed.

This work presents a proposal for a didactic intervention in the frame of the anthropological theory of the didactic (ATD) (Chevallard, 1999; Chevallard, et al., 2015) for the teaching of area and volume in Primary Education (P.E.). The ATD considers the educational institution to be as fundamental as other context aspects in the teaching-learning process. Therefore, in the framework of the ATD, it is not allowed to obviate the institutional restrictions where the educational process is to be developed (Chevallard, 1999). For that reason, in this work the investigation has been developed on the design of a didactic proposal, which could be carried out in the ordinary teaching, in an ordinary center, with its perturbations and ordinary systemic limitations, taking the investigation tools and methods to the institutional and social frame. It has been done by following the ideas of Chevallard (1999), who indicates that institutional borders can be crossed, while remaining inside the systemic structure. The investigation was focussed in the teaching work, which consisted on the creation of didactic situations

Graph theory is a powerful representation and problem-solving tool, but it is not included in present curriculum at school levels. In this study we perform a didactic proposal based in graph theory, to provide students useful and motivational tools for problem solving. The participants, who were highly skilled in mathematics, worked on map coloring, Eulerian cycles, star polygons and other related topics. The program included six sessions in a workshop format and four creative sessions where participants invented their own mathematical challenges. Throughout the experience they applied a wide range of strategies to solve problems, such as look for a pattern, counting strategies or draw the associated graph, among others. In addition, they created as challenges the same type of problems posed in workshops. We conclude that graph theory successfully increases motivation of participants towards mathematics and allows the appearance and enforcement of problem-solving strategies.