高等代数与解析几何两课合并的可行性分析及内容编排方案

阐述了高校数学专业高等代数与解析几何这两门基础课在教学内容方面的重复与联系之处 ,对这两门课程合并教学进行了可行性分析 ,提出了两门课程合并内容编排的原则和方案     

The Adidactic Interaction with the Procedures of Peers in the Transition from Arithmetic to Algebra: A Milieu for the Emergence of New Questions

The purpose of the present article is to give an account of the emergence of knowledge pertaining to the transition from arithmetic to algebra in the course of a debate in a grade 7 classroom. This debate follows two other instances of work: (1) the adidactic interaction between each student and a given problem, (2) the adidactic interaction of each student with the procedures generated by other students during stage 1. The two kinds of processes – adaptation to a milieu and social interactions – play a critical role in the change of “rationality” required for the move from arithmetic to algebra. Both the design of the initial mathematical problem given to the students and the organization of the interactions leading to the debate under study in this article are based on this hypothesis. The research presented in this article is set in a broader work of didactic engineering that aims at studying didactic conditions for making a connection between arithmetic practices and algebraic practices.     

Art Education for the Development of Complex Thinking Metacompetence: A Theoretical Approach

This article proposes to explore the relationships between art education and the development of complex thinking (proposed as metacompetence in this study) from a theoretical perspective. This is an approach that arises from contemporary conceptions about art, which is an intrinsic relationship between the artwork and the creative and critical character towards representation systems. Emphasising the definition of complex thinking proposed by Mathew Lipman serves as a guiding axis to try to establish the cognitive processes that compose it. Among the main findings is that the development of complex thinking and cognition occurs through action and interaction with the environment, thus linking to the notions of ‘situated competence’ and the ‘complex approach to competences’. By including cognitive and metacognitive processes, it allows us to postulate complex thinking as metacompetence. In addition, it is proposed that the use of learning methodologies (under a competence‐based approach) could contribute to an art education where students produce artistic works that involve critical, creative processes or divergent results. It is also necessary that both the curriculum and the teachers encourage an expanded and interdisciplinary vision, understanding that art is not circumscribed to a specific discipline.