Can a culture of error be really developed in the classroom without teaching students to distinguish between errors and anomalies?

It is expected that children increasingly learn to identify errors throughout their schooling process and even before it. As a further step, however, some scholars have suggested how a culture of error should be implemented in the classroom for the student to be able not only to locate errors but also, and above all, to learn from them. Yet the various proposals aimed at generating a culture of error in the classroom keep regarding error as all those responses and reactions that are not considered as true or correct in each specific case, thereby not realizing that many of these alleged errors are really anomalies with very different characteristics and consequences despite their seeming resemblance. In this paper, I rely on Ludwig Wittgenstein’s On Certainty to clarify the difference between errors and anomalies. Subsequently, I provide guidelines that may be adapted by each teacher to her students’ needs and development level in order to foster a culture of error that begins by distinguishing error from anomaly, which constitutes a practical as well as conceptual necessity particularly in Child and Primary Education, as it is just then when anomalies most frequently arise in the form of questions and answers.     

Latinx students’ experiences with college access and preparation at college preparatory charter schools

Charter schools that target underserved communities, including Latinxs, have proliferated in the U.S., claiming a unique, more autonomous and successful alternative to traditional public schools, often with a promise of increased postsecondary access and preparation. However, there is conflicting evidence regarding their effectiveness on academic outcomes, prompting additional research on charter schools. This study examined the college access and preparation experiences of 14 Latinxs attending college preparatory charter schools within one school system in Texas. Findings highlight how schools assisted students in preparing for college, but challenges in accessing college knowledge and assistance still existed, particularly for undocumented students.     

Are teachers’ approaches to teaching responsive to individual student variation? A two-level structural equation modeling

In the framework of teacher’s approaches to teaching, this study investigates the relationship between student-related variables (i.e., study time, class absence, domain knowledge, and homework completion), students’ approaches to learning, and teachers’ approaches to teaching using structural equation modeling (SEM) with two independent data samples. The participants were 61 biology teachers and their corresponding 1,518 high school students (12th grade). The first sample was used to fit the model, and the second sample was used to analyze the consistency of the data derived from the first sample. Using a two-level SEM analysis, we established whether the effects found at the individual level varied significantly at class level. The students’ approaches to learning were related to the teachers’ approaches to teaching as a function of the hypotheses established in the model, although the effect size was smaller than expected. However, approximately 48 % of the variance of the surface approach and 46 % of the deep approach sat at class level. At the individual level, the results of this study suggest that students’ approaches to learning significantly explain their teachers’ approaches to teaching and, thus, constitute important contextual variables. At the class level, the way students learn appears to be closely associated with class-related variables. Our data stresses the importance of promoting educational opportunities (e.g., school-based courses) for teachers to reflect upon the teaching methodologies used in class.     

Non-centralized control for flow-based distribution networks: A game-theoretical insight

This paper solves a data-driven control problem for a flow-based distribution network with two objectives: a resource allocation and a fair distribution of costs. These objectives represent both cooperation and competition directions. It is proposed a solution that combines either a centralized or distributed cooperative game approach using the Shapley value to determine a proper partitioning of the system and a fair communication cost distribution. On the other hand, a decentralized non-cooperative game approach computing the Nash equilibrium is used to achieve the control objective of the resource allocation under a non-complete information topology. Furthermore, an invariant-set property is presented and the closed-loop system stability is analyzed for the non-cooperative game approach. Another contribution regarding the cooperative game approach is an alternative way to compute the Shapley value for the proposed specific characteristic function. Unlike the classical cooperative-games approach, which has a limited application due to the combinatorial explosion issues, the alternative method allows calculating the Shapley value in polynomial time and hence can be applied to large-scale problems.