We introduce the concept of the "sequence of the ratios of convex quadrilaterals," identify some properties of these sequences and use them to provide new characterizations for some classic quadrilateral families. The research involves aspects of geometry, arithmetic and mathematical analysis, which converge to produce the results.

Why do we need to pour less water in an egg steamer to prepare more eggs to the same degree of 'doneness'? We discuss the physical processes at work in the electric egg steamer and resolve this seeming paradox. We demonstrate that the main heat transfer mechanism from steam to egg is due to latent heat through condensation. This not only explains…

Concept maps are assumed to enhance learning as their inherent structure makes relations between information more salient. Nevertheless, research on how to design concept maps as conducive to learning as possible is still rare. In particular, the salience of spatial arrangement of thematically related concepts within the map as well as the…

There has been a long-standing debate on situational and symbolic mathematics, which is associated with how to design and execute mathematics education for all students. Brain studies can give some clues for how to deal with the debate. There are situational, verbalized, and visuospatial brain networks and the connectivity among the networks,…

In an upper-division interdisciplinary laboratory experiment, students use Raman spectroscopy to highlight how the overall structure and conformational order of lipid bilayers can be influenced by their individual phospholipid composition. Students prepare a supported lipid bilayer, as a model cell membrane, by spreading liposomes made of various…

There are several ways in the literature to determine the value of gravitational acceleration. We used an audio plug (3.5-mm jack) that can be reused from types of plugs can also be purchased and are very cheap. In this article, a computer speaker or microphone that are damaged. These value of gravitational acceleration very accurately using…

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…