The "object lesson" is a particular teaching method that was widespread in Europe and the westernised world during the nineteenth century, which was variously adapted according to national contexts under the name of "Anschauungsunterricht, leçon de choses, lezione di cose, and lección de cosas." Based on the intuitive…

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…

By telling autoethnographic stories, the author reflects upon her 16 years of EFL teaching and four years of MSc TESOL and PhD Education studies. Teacher intuition has played an important role in guiding her to make pedagogical decisions and judgments. Several teaching activities and designs are presented to demonstrate how the author followed her…

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…

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…

In this paper, we investigate the ways in which 15 year-old students conceive interrelated issues of randomness. We deal with these issues of randomness as a whole and not separately from each other, in contrast to the research so far. In order to analyse the students' ways we introduce a modification of Kyburg's Schema [(1974). "The logical…

The purpose of the study was to explore students' consistency in their notions encountering different methods in solving the same task of comparing values of certain infinite series. The participants were 93 male students aged 16-17. Applying cognitive conflict approach and the data were collected through a questionnaire administrated in two…

The integration of visual programming in early formal education has been found to promote computational thinking of students. Teachers' intuitive perspectives about optimal learning processes -- "folk psychology" -- impact their perspectives about teaching "folk pedagogy" and play a significant role in integrating educational…

In Sri Lankan advanced level mathematics curriculum, teachers are required only to provide the intuitive idea of the concept of limit. The purpose of this study is to explore the strategies used by mathematics teachers to achieve this. Twelve in-service secondary mathematics teachers working in government and private schools participated in the…

A textbook model of a contagious disease, the dynamics of which are represented by the SIS epidemic model with saturating treatment, is considered. I show that this model, as originally formulated, is not dimensionally consistent. The model can be fixed by including a dimensional constant [alpha] of value one (with units individuals[superscript…

In the training of mathematics teachers in Brazil we can not disregard the historical and epistemological component aiming the transmission of mathematics through a real understanding of the nature of classic concepts and foundamental definitions to Mathematics, whether in the school context or in the academic context. In this sense, the present…

Structural concepts are fundamentals of civil engineering for students to learn, for lecturers to teach and for engineers to use. Many students however find it difficult to understand structural concepts due to their abstract nature. "Seeing and Touching Structural Concepts" has been developed as an approach to help civil engineering…

This article reports on a pilot study that used concrete materials and TinkerPlots to support a Year 4 student's understanding of the big ideas of variation and expectation when investigating a random chance experiment using spinners.