In this report, we present an advance of doctoral research. We explore teaching alternatives that promote proportional reasoning in Mexican students between 14 and 15 years old with the support of digital technology. We designed a sequence of activities that pretends to signify the concepts of ratio and proportion in their diverse representations…

Using metaphors in education is a very effective method, especially in terms of learning abstract concepts and being memorable. For this reason, teachers use frequently metaphors in order to understand the concepts in their lessons. This study aims to determine teachers' perceptions of freedom and justice concepts through the metaphors they…

Augmented reality (AR) has tremendous potential as a teaching and learning tool in engineering education to enhance students' learning experience; it influences the students' spatial ability for real-time visualization. Furthermore, this helps to attain better concept comprehension pertaining to improved understanding of the topics. The present…

In Japan during the 1980s, there was an interesting debate about how to teach the area of a parallelogram effectively to primary school children. Yutaka Saeki criticized the standard method, which relies on a cut-and-paste procedure. He argued that the standard method inevitably failed to convince children because it does not provide any cogent…

The Wilson cloud chamber, invented in 1911 by Scottish physicist Charles Wilson, is a remarkably simple and effective charged particle detector. Cloud chambers were used regularly in particle physics experiments for decades, until being supplanted by bubble chambers. In this article, we describe a lab activity that is suitable for…

Do young children understand the complex mathematics in the petals of a daisy, the Fibonacci sequence in the spiral of a pinecone, the fractal geometry in the leaves of a fern, or the "golden ratio" in the seed pattern of a sunflower? Probably not, but they certainly can observe and recognize the patterns and compare them to similar…

Engineering educators strive to help students understand concepts that may be difficult and counterintuitive. This often entails helping students bring their understanding of how a phenomenon works into alignment with the scientifically-accepted explanation. For the most part, fostering conceptual change has been thought of as a process of…

This study evaluates the difficulties in concept reasoning, changes in response patterns, and item misconception hydrolysis patterns using Rasch modeling. Data were collected through the development of 30 distractor-based diagnostic test items, measuring ten levels of conceptual reasoning ability in three types of salt hydrolysis compounds:…

To analyze mothers' understanding of child brain development and their stimulus practices with children in the first months of life. Qualitative research, with 18 Brazilian mothers, over 18 years of age, used semi-structured interviews to identify their perspectives on important healthcare outcomes, based on reflexive thematic analysis. Mother's…

Understanding of fractions is difficult for Indonesian students. This often leads to misinterpretation in solving fractional problems. In this study, a task aiming at identifying students' struggles in understanding the basic concept of part-whole relationships in fractions was developed and tested with six 4th-grade students. The task uses…

The authors outline some of the ways in which they teach student teachers to think about the challenges of abstract concepts in science. They ask the student teachers to think about abstract ideas in a non-science context first, and find they are enabled to discuss and engage (and then later apply) their thinking better. The authors think that…

The Tchokwe people lived on the African continent, in Mozambique and Angola. The sona belong to their cultural tradition. The sona are drawings made in the sand by older members of the tribe to tell stories, essential in the youngests' formation. In this article, we show a relationship between the sona and the greatest common divisor (GCD) of two…

Today's complex problems transcend borders and require a collective and adaptive learning response. Literature suggests that, because the traditional hierarchical or positional style of leadership cannot effectively address problems we face today, leadership should take a more collaborative and systemic form. Rost (1991) characterized this new…

This dissertation reports on three studies about students' conceptions and learning of the idea of instantaneous rate of change. The first study investigated 25 students' conceptions of the idea of instantaneous rate of change. The second study proposes a hypothetical learning trajectory, based on the literature and results from the first study,…

Economic literacy is critical for success in one's career and life. Such literacy has never been more relevant than today due to supply-chain issues causing product shortages, surging inflation, and rising interest rates. Discovery learning through active learning materials discussed in this article were employed with fifth and sixth-grade…