Unpacking The Relation Between Spatial Abilities and Creativity in Geometry

This study aims to examine the relation between spatial ability and creativity in Geometry. Data was collected from 94 ninth graders. Three spatial abilities were investigated: spatial visualization, spatial relations and closure flexibility. As for students' creativity, it was examined through a multiple solution problem in Geometry focusing on three components of creativity: fluency, flexibility, and originality. The results revealed that spatial visualization predicted flexibility and originality while closure flexibility predicted all creativity components. Additionally, it was deduced that auxiliary constructions played an essential role in the problem-solution process. Finally, further study opportunities for the teaching and learning of Geometry are discussed.

Analyzing the Solution of Chemotaxis Equations with Logistic Source Term

When the parameters have the characteristics of sensitivity and specificity, while the traditional analysis method is the analysis of equations, under the influence of the characteristics of parameters, because the ability to consider the overall existence and limitations of the equation is weak, this leads to the deviation of the analysis results beyond the allowable range. With the chemotactic equations with logistic source terms, a new analysis method is proposed, on the basis of setting the optimal adjustment parameters of logistic source term, the method evaluates the well-posed behavior of the solution of the chemotactic equation system with logistic source term by quantitative analysis of the global existence and limitations of the solution. The experimental results show that the proposed analysis method, after the analysis of the overall existence and limitations of the equation, has smaller deviation in the results of the appropriate qualitative evaluation and meets the analysis requirements of the solution problem of the chemotaxis equations. It can be seen that the analysis method is more practical.

A Review of Principal Component Analysis Algorithm for Dimensionality Reduction

Big databases are increasingly widespread and are therefore hard to understand, in exploratory biomedicine science, big data in health research is highly exciting because data-based analyses can travel quicker than hypothesis-based research. Principal Component Analysis (PCA) is a method to reduce the dimensionality of certain datasets. Improves interpretability but without losing much information. It achieves this by creating new covariates that are not related to each other. Finding those new variables, or what we call the main components, will reduce the eigenvalue /eigenvectors solution problem. (PCA) can be said to be an adaptive data analysis technology because technology variables are developed to adapt to different data types and structures. This review will start by introducing the basic ideas of (PCA), describe some concepts related to (PCA), and discussing. What it can do, and reviewed fifteen articles of (PCA) that have been introduced and published in the last three years.

The Problem-Solution Pattern in NNS Argumentation

The present study investigates the use of Problem-Solution in student essays to identify whether or not, or to what extent, this text pattern is a source of perceived difference in NNS student essays, in comparison with NS student essays. The study is a follow-up to Tahara (2017), which compared argumentation essays written by NNS students with those by NS students, conducted from the perspective of the use of metadiscursive nouns. They are general and unspecific meaning nouns that can serve as markers of the discourse in some ways by referring to a textual segment in the texts where the nouns occur. Of 33 selected metadiscursive nouns examined in Tahara (2017), this paper reexamines the use of a noun problem in relation to the Problem-Solution pattern. The focus of the noun for the investigation of the use of Problem-Solution is because in the 2017 study (Tahara), problem very often occurred in combination with a Response/Solution-indicating vocabulary in both corpora, as in ‘problem is solved’; ‘consider the problem’; or ‘problem should bedealt with’ (underlinedare vocabulary signaling Response/Solution). Problem-Solution is a well-known English rhetorical pattern, often used in technical academic writing (Flowerdew, 2003), but it seems not to have been taught in the writing of English essays, at least in Japan. In contrast, the text pattern often used in the class is Introduction-Body-Conclusion to prepare for TOEFL/IELTS writing, along with the teaching of the paragraph structure, comprised of a topic sentence, supporting details, and concluding sentences.

Bounded solutions for an ordinary differential system from the Ginzburg–Landau theory

In this paper, we look at a linear system of ordinary differential equations as derived from the two-dimensional Ginzburg–Landau equation. In two cases, it is known that this system admits bounded solutions coming from the invariance of the Ginzburg–Landau equation by translations and rotations. The specific contribution of our work is to prove that in the other cases, the system does not admit any bounded solutions. We show that this bounded solution problem is related to an eigenvalue problem.