Although complex analysis is part of the study programs of many mathematics undergraduates, little research has been done on how individuals interpret basic concepts from complex analysis. To address this gap, this paper investigates how experts individually think about complex path integrals. For this purpose, the commognitive framework is used…

Taking the "practice turn" in K-12 science classrooms requires students to engage in processes of knowledge building, constructing explanatory accounts of natural phenomena. To support students in these sensemaking opportunities, a significant departure is needed from how science is typically taught in many classrooms. Teachers will need…

This study examines the behavior of individuals when two intuitive rules in their minds lead to two different outcomes concerning a problem. In the absence of the formal knowledge, intuitive rules can affect the mathematical thinking. Hence, studies have usually compared the correct answer of the related formal knowledge with the incorrect one…

This work is the result of a pre-experiment carried out as part of a master's course, dealing with the study of the parabola through different mathematical views. It aims to recognize possible didactic obstacles in its teaching, based on intuitive manifestations in the resolution of a didactic situation based on GeoGebra software. The methodology…

The purpose of this study was twofold. First, to explore middle and high school students' intuitively-based (mis)conceptions in probability, particularly availability and representativeness heuristics. Second, to investigate teachers' awareness of these intuitively-based (mis)conceptions and the effectiveness of their instructional practices to…

The purpose of this article is to conduct a mathematical and phenomenological comparison of three concepts: (1) the finite limit of a function at a point, (2) the finite limit of a sequence, and (3) the infinite limit of a sequence. Additionally, we aim to analyse the presence of these concepts in Spanish textbooks. The methodology employed is…

Computational thinking (CT) has the potential to enhance learning when integrated into mathematical classroom activities. Teachers are being asked to include CT concepts in their core disciplines; however, there is an open question as to how best to equip teachers to integrate CT into their practice. Oftentimes teacher candidates enter math and…

The aim of this paper is to show how an innovative technique can be used to introduce a method for uncovering intrinsic mechanisms that motivate changes in students' mental models. The theoretical framework used to develop the method is based on the ONEPSY (ONtology, EPistemology and PSYchology) model. The ONEPSY model is rooted in the theoretical…

We present the theoretical argument that the use of mathematics in physics can be productively conceptualized as using a language and that learning to make sense of physics equations and appropriating them into novel scientific inquiry can be understood as a process of learning to read fluently with a high level of reading comprehension and to…

This paper describes our work to determine the naturalistic images that first-time second-semester university calculus students possess for series convergence. We found that the students we interviewed most frequently determined whether a series converged by imagining a process of appending summands into a running total and examining whether this…

Young children encounter uncertainty and challenges on a daily basis; through their intuitions, experiences and experimentation they construct knowledge, skills and dispositions towards probabilistic concepts. The aim of this exploratory ethnographic study is to identify how young children engage with probabilistic thinking and reasoning while…

Aristotle argued that emotions should be controlled according to the principle of moderation to realize virtue (human excellence). This study examines moral education in Korea, which is grounded in the ethics of Aristotle and values reason in moral judgment. The advantages and disadvantages of specific approaches are analyzed by categorizing moral…

Teacher empathy has proven to be highly relevant for the educational process and for educational outcomes, while integrating it into the teacher practicing process is challenging. This study suggests using PSTs' (pre-service students) incorrect responses as a pedagogical tool for improving empathy awareness among them so that PSTs can feel empathy…

This exploratory and experimental research aims to describe randomness expressed in 5 to 6-year-old children's drawings. This study considers a six-day activity developed in 5 Chilean kindergartens, with a total of 142 participants. The activity on the mosquito's flight considered the corporal movements to generate the idea of randomness in…

Teaching grammar topics is a difficult and complex process. This process needs to be structured with functional activities that are appropriate for the objectives of the instruction, be it face-to-face or distance education. This study aims to investigate and evaluate the quality of grammar instruction in the Turkish lessons on the Education…