Our first experience of dimension typically comes in the intuitive Euclidean sense: a line is one dimensional, a plane is two dimensional, and a volume is three dimensional. However, following the work of Mandelbrot, systems with a fractional dimension, "fractals," now play an important role in science. The novelty of encountering…

This paper draws on transnational education inquiry from Guatemala to Australia. Grounded in field research on Indigenous matters, this paper offers fractal education inquiry as a proposition to interrupt the straight and spatialized notions of time that produce developmental, salvific, and progress-centric aspirations from which educational…

The Pandemic Educational Development Research Collaborative (PEDRC) formed in April 2020 to record research-participants' experiences during the COVID-19 pandemic and systemic racism crises and includes 18 educational developers across various 4-year institutions, types of centers, and positions in the field. The novel research methodology used by…

We present a computer-based experiment that simulates the accretion process and generates fluffy aggregates with fractal nature. The Box Counting is performed without the aid of an image processing tool by using the coordinate information of the constituents of the aggregate. A simple algorithm to create aggregate and calculate box-dimension will…

Fundamental to complex dynamic systems theory is the assumption that the recursive behavior of complex systems results in the generation of physical forms and dynamic processes that are self-similar and scale-invariant. Such fractal-like structures and the organismic benefit that they engender has been widely noted in physiology, biology, and…

Fractals are geometric objects used to describe irregular shapes that have a fractional dimension and commonly appear in nature. Although several proposals for the study of perfect fractals at the basic level are present in the literature, only few proposals for the study of real fractals exist, which does not seem reasonable considering the…

The work deals with the study of the roots of the characteristic polynomial derived from the Leonardo sequence, using the Newton fractal to perform a root search. Thus, Google Colab is used as a computational tool to facilitate this process. Initially, we conducted a study of the Leonardo sequence, addressing it fundamental recurrence,…

The paper reports a qualitative study to reveal how preservice science teachers' decision making (DM) processes on socioscientific issue (SSI) in a referendum case compare between unsophisticated (Group U) and sophisticated (Group S) views in terms of nature of science (NOS) understandings. Firstly, pre-study was conducted with focus group…

In the present research the typical triangle on formative research was extended to a double triangle for an overall career programme (here expander/ compressor) and funnel proposal was explored in a single course (as a "fractal" method). Array processing and ElectroEncephaloGram (EEG) techniques have been incorporated into a Digital…

In this article, the author discusses the need for a new paradigm of servant leadership--a paradigm that encourages servant leaders to consider the principles of nature, fractal thinking, and creativity. As education leaders must lead their teams through a world of change, the author states the need for a more constructive relationship with…

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…

In the set of fractal activities described in this article, students will accomplish much more than just creating a fun set of cards that simply resemble an art project. Goals of this activity, designed for an algebra 1 class, are to encourage students to generate data, look for and analyze patterns, and create their own models--all from a set of…

The analysis of pre-service teachers' concept images can provide information about their mental schema of fractal dimension. There is limited research on students' understanding of fractal and fractal dimension. Therefore, this study aimed to investigate the pre-service teachers' understandings of fractal dimension based on concept image. The…

Language entails many nested time scales, ranging from the relatively slow scale of cultural evolution to the rapid scale of individual cognition. The nested, multiscale nature of language implies that even simple acts of text production, such as typing a sentence, entail complex interactions involving multiple concurrent processes. As such, text…

The article shows that even a small number of iterations give a very large length of the Koch Curve. The overall purpose of this work is to show that even a small number of iterations can give a very complex fractal structure. In this case it is the very big length of Koch's curve. As examples, the distance from the Earth to the Moon and from the…