Purpose: The purpose of this paper is to present the results of measuring a sample of engineering students' perceived achievement of complex thinking at different stages of their professional training. This study intended to analyze and predict the differences in the self-perception of achieved complex thinking competency by gender, semester,…

This article presents a networking of two theories, the Extended Theory of Mathematical Connections (ETC) and the Onto-semiotic Approach (OSA). In particular, concordances and complementarities are identified in the respective conceptions of mathematical connections, as a result of applying these theoretical frameworks to a student's response…

Developing Critical Thinking Skills (CTS) has been a primary educational goal in developed countries for several decades. However, even though Mexico recently embraced this educational trend in higher education, there is uncertainty about CTS development occurring under current conditions. Despite the abundance of quantitative studies examining…

The topics of correlation and linear regression constitute a complex and subtle system of statistical and mathematical ideas whose teaching-learning raises numerous practical and theoretical problems. In this research paper, the patterns of reasoning that students exhibit, under the approach of informal inferences when they face problems of…

Reasoning for complexity is a fundamental competency in these complex times for solutions to social problems and decision-making. The purpose of this paper is to demonstrate the validity and reliability of the eComplexity instrument by presenting its psychometric properties. The instrument consists of a Likert-type scale questionnaire designed to…

Understanding a graph in pairs, in a productive way, improves the comprehension of a concept. In this research, we had 2 objectives: 1) to delve deep into the behavior of 15 pairs of remedial physics students when solving a problem with a graph of velocity, 2) to understand the interchange of personal meanings during their interactions. We posed…

In this article, we report the results of research that explores the intra-mathematical connections that high school students make when they solve Calculus tasks, in particular those involving the derivative and the integral. We consider mathematical connections as a cognitive process through which a person relates or associates two or more ideas,…

This article centers on studying the progress of algebraic syntax once students have surmounted initial obstacles found in the transition toward symbolic algebra. It specifically analyzes students' progress concerning the operation on the unknown, when the latter is represented by an expression that involves a 2nd unknown. In curricular terms,…

Introduction: The present paper shows the importance of a joint use of pencil and paper activities and of technology so that students may develop a complete understanding of ratio and proportion. A previous experience with strategy use when solving ratio and proportion problems provided background. Prompted by a recognition of the cognitive…

A case study is presented on what is learned by a very advanced Math student in a ninth grade class (fifteen years old, approximately). This case was obtained from an exploratory study carried out in a classroom of eighteen students when the employment of certain cultural artifacts was introduced to approach the theme of basic geometrical…

The study analyses the effects of training primary school children in the use of a linguistic tool called "Exploratory Talk" (ET) on their capacity for argumentation. ET allows for reasoned confrontation and negotiation of points of view, making the reasoning visible in the talk. Eighty-eight Mexican children from the 5th and 6th grades…

Examines two sets of classrooms in Mexican preschools over a period of a year to see why one set of classes improved significantly in independent problem solving when compared with children in matching classes. Differences in two sets of data were explored with a method for investigating classroom talk that combines qualitative interpretation with…