Four variations of the Koch curve are presented. In each case, the similarity dimension, area bounded by the fractal and its initiator, and volume of revolution about the initiator are calculated. A range of classroom exercises are proved to allow students to investigate the fractals further.

Problem-Based Learning (PBL) is an effective teaching method in many fields, in particular the medical disciplines. Clinical embryology deals with all aspects of assisted conception including insemination and embryo transfer. Clinical embryologists deal with daily issues that require troubleshooting and problem solving. The aim of this study was…

State law (Revised Code of Washington [RCW] 28A.320.130) requires the Office of Superintendent of Public Instruction (OSPI) to annually report to the Legislature the number of incidents in violation of RCW 9.41.280, which involves the possession of weapons on school premises, transportation systems, or in areas of facilities while being used…

This report is the first in a series that unpacks the barriers to access that families face, the variety of solutions that navigation organizations have developed, and the challenges that limit the reach and impact of those solutions. This series offers recommendations for how to help navigators address these challenges and support more families…

Reading mathematics problems can frustrate students to the point of shutting down. Although Pólya's four-step plan is a well-known problem-solving framework, the author's students benefited from a more concrete and detailed approach: chunking the reading. In this article, the author describes an approach to problem solving used with eighth-grade…

Many universities throughout the world apply student-centered approaches. Common to these is that projects, problems, challenges etc. stem from "real life". Mathematics is an effective tool to solve problems, but in this paper, we discuss how we reconcile the fact that mathematics is both a pure and an applied discipline with…

Problem solving has been the focus of the Common Core State Standards for Mathematical Practice. Helping students acquire critical-thinking and problem-solving skills has become the primary goal of mathematics education across all grade levels. However, research has found that many students struggle with word problems because of poor text…

Modern transformation processes in higher education alongside with positive effects have a negative impact on the higher education system in the Russian Federation. The purpose of the article is to find the main ways to overcome corruption in the system of Russian higher education. Russian society is developing in a legalised falsification of…

Mixed research is a methodology of growing importance both within and without education. This type of research forces researchers to reconcile conflicting ways of justifying and understanding research with results that have the potential to be forward pointing for all researchers. As mixed research has grown, mixed research has gained an…

This article discusses the work of Professor Andrew S. Rancer and his contributions to theory-building and application efforts of argumentative and aggressive communication. Germinal training efforts in constructive and destructive communication are presented, empirical efficacy and learning outcomes highlighted, and implications for training…

This paper suggests that artificial intelligence in education (AIEd) can be fruitfully analysed as 'policies frozen in silicon'. This means that they exist as both materialised and proposed problematisations (problem representations with corresponding solutions). As a theoretical and analytical response, this paper puts forward a heuristic lens…

This paper discusses the mathematical and didactical problems of teaching indefinite integral in the context of the ubiquitous availability of online integral calculators. The symbol of indefinite integral introduced by Leibniz, unfortunately, does not contain an indication of the interval on which the antiderivatives should be calculated. This…

What comes to mind when one thinks about building? One may envision constructions with blocks or engineering activities. Yet, constructing and building a number system requires the same sort of imagination, creativity, and perseverance as building a block city or engaging in engineering design. We know that children invent their own notation for…

It is likely that the process of global climate change will continue to accelerate. There is a lack of political will to confront the problem and the consequences for humanity -- including widespread suffering and institutional destabilization -- will be disastrous. How should educators respond to a catastrophic future? Here, Bryan Warnick argues…

In this article, the author presents a teaching prompt--Write-it-Out--to instruct readers who seemingly guess at words with no or limited use of grapheme-phonemic correspondences to recontextualize word-solving into writing. Through the nature of this prompt, slowing down the pace of solving words on the run with writing also reciprocally builds…