Beyond categories: dynamic qualitative analysis of visuospatial representation in arithmetic

Visuospatial representations of numbers and their relationships are widely used in mathematics education. These include drawn images, models constructed with concrete manipulatives, enactive/embodied forms, computer graphics, and more. This paper addresses the analytical limitations and ethical implications of methodologies that use broad categorizations of representations and argues the benefits of dynamic qualitative analysis of arithmetical-representational strategy across multiple semi-independent aspects of display, calculation, and interaction. It proposes an alternative methodological approach combining the structured organization of classification with the detailed nuance of description and describes a systematic but flexible framework for analysing nonstandard visuospatial representations of early arithmetic. This approach is intended for use by researchers or practitioners, for interpretation of multimodal and nonstandard visuospatial representations, and for identification of small differences in learners’ developing arithmetical-representational strategies, including changes over time. Application is illustrated using selected data from a microanalytic study of struggling students’ multiplication and division in scenario tasks.

Elements of the methodology of teaching vector graphics based on the free graphic editor LibreOffice Draw at the level of basic general education

The article presents the methodology for teaching the theme "Creation and editing of vector graphic information" in basic school, which can be implemented both in full-time education and using distance learning technologies. The methodology is based on the use of the free vector graphic editor LibreOffice Draw and has been tested over several years in teaching vector computer graphics in the seventh grade in informatics course in full-time, as well as in a distance learning format in 2020. The authors substantiate the need to develop universal methods of teaching information technologies that are insensitive to the form of education (full-time or using distance educational technologies) based on the use of free software. Some principles of constructing a methodology for teaching vector graphics based on the new Federal State Educational Standard of Basic General Education are formulated. As the basic operating system used by the teacher, the domestic free operating system "Alt Education 9" is proposed. The article substantiates the choice of the graphic editor LibreOffice Draw as the optimal software tool to support teaching vector graphics in elementary school, formulates the criteria for choosing LibreOffice Draw as a basic tool for studying computer graphics in grades 6–9 for the implementation of distance learning. A universal scheme for the implementation of a distance lesson in teaching information technology based on the use of free cross-platform software, in particular, teaching vector graphics, is proposed.

The Mathematics of Smoothed Particle Hydrodynamics (SPH) Consistency

Since its inception Smoothed Particle Hydrodynamics (SPH) has been widely employed as a numerical tool in different areas of science, engineering, and more recently in the animation of fluids for computer graphics applications. Although SPH is still in the process of experiencing continual theoretical and technical developments, the method has been improved over the years to overcome some shortcomings and deficiencies. Its widespread success is due to its simplicity, ease of implementation, and robustness in modeling complex systems. However, despite recent progress in consolidating its theoretical foundations, a long-standing key aspect of SPH is related to the loss of particle consistency, which affects its accuracy and convergence properties. In this paper, an overview of the mathematical aspects of the SPH consistency is presented with a focus on the most recent developments.

Illumination Space: A Feature Space for Radiance Maps

<p>From red sunsets to blue skies, the natural world contains breathtaking scenery with complex lighting which many computer graphics applications strive to emulate. Achieving such realism is a computationally challenging task and requires proficiency with rendering software. To aid in this process, radiance maps (RM) are a convenient storage structure for representing the real-world. In this form, it can be used to realistically illuminate synthetic objects or for backdrop replacement in chroma key compositing. An artist can also freely change a RM to another that better matches their desired lighting or background conditions. This motivates the need for a large collection of RMs such that an artist has a range of environmental conditions to choose from. Due to the practicality of RMs, databases of RMs have continually grown since its inception. However, a comprehensive collection of RMs is not useful without a method for searching through the collection. This thesis defines a semantic feature space that allows an artist to interactively browse through databases of RMs, with applications for both lighting and backdrop replacement in mind. The set of features are automatically extracted from the RMs in an offline pre-processing step, and are queried in real-time for browsing. Illumination features are defined to concisely describe lighting properties of a RM, allowing an artist to find a RM to illuminate their target scene. Texture features are used to describe visual elements of a RM, allowing an artist to search the database for reflective or backdrop properties for their target scene. A combination of the two sets of features allows an artist to search for RMs with desirable illumination effects which match the background environment.</p>

Illumination Space: A Feature Space for Radiance Maps

<p>From red sunsets to blue skies, the natural world contains breathtaking scenery with complex lighting which many computer graphics applications strive to emulate. Achieving such realism is a computationally challenging task and requires proficiency with rendering software. To aid in this process, radiance maps (RM) are a convenient storage structure for representing the real-world. In this form, it can be used to realistically illuminate synthetic objects or for backdrop replacement in chroma key compositing. An artist can also freely change a RM to another that better matches their desired lighting or background conditions. This motivates the need for a large collection of RMs such that an artist has a range of environmental conditions to choose from. Due to the practicality of RMs, databases of RMs have continually grown since its inception. However, a comprehensive collection of RMs is not useful without a method for searching through the collection. This thesis defines a semantic feature space that allows an artist to interactively browse through databases of RMs, with applications for both lighting and backdrop replacement in mind. The set of features are automatically extracted from the RMs in an offline pre-processing step, and are queried in real-time for browsing. Illumination features are defined to concisely describe lighting properties of a RM, allowing an artist to find a RM to illuminate their target scene. Texture features are used to describe visual elements of a RM, allowing an artist to search the database for reflective or backdrop properties for their target scene. A combination of the two sets of features allows an artist to search for RMs with desirable illumination effects which match the background environment.</p>

THE DIFFUSENESS OF ILLUMINATION SUITABLE FOR REPRODUCING OBJECT SURFACE APPEARANCE USING COMPUTER GRAPHICS

The appearance of an object depends on its material, shape, and lighting. In particular, the diffuseness of the illumination has a significant effect on the appearance of material and surface texture. We investigated a diffuseness condition suitable for reproducing surface appearance using computer graphics. First, observers memorized the appearance and impression of objects by viewing pre-observation images rendered using various environment maps. Then they evaluated the appearance of the objects in test images rendered under different levels of diffuseness. As a result, moderate diffuseness conditions received a higher evaluation than low diffuseness conditions. This means that low or very high diffuseness unfamiliar in daily life is unsuitable for reproducing a faithful and ideal surface appearance. However, a particular material is difficult to memorize and evaluate its appearance. The results suggest that it is possible to define a diffuseness that adequately reproduces the appearance of an object using computer graphics.

Metode Pose to Pose untuk Membuat Animasi 3 Dimensi Islami "Keutamaan Berbuka Puasa"

Berkembangnya teknologi di bidang computer graphics memberikan kemudahan dalam mengolah suatu karya grafis salah satunya adalah animasi 3D. Dalam pembuatan animasi 3D terdapat permasalahan utama yang biasa menjadi tantangan bagi para animator. Permasalahan utama dalam pembuatan animasi 3D adalah kualitas gerakan yang kasar atau tidak terkesan nyata. Untuk membuat gerakan yang halus dan tampak nyata dapat dilakukan melalui banyak metode salah satunya adalah metode pose to pose. Animasi 3D islami berjudul Keutamaan Berbuka Puasa sebagian besar berisi gerakan dalam memperagakan taat cara berbuka puasa yang baik dan benar untuk mendapatkan keutamaan berbuka. Pembuatan animasi ini dibuat melalui software blender dengan menerapkan metode pose to pose. Sebagai hasil pembuatan paper ini, film animasi 3D berjudul Keutamaan Berbuka Puasa diharapkan dapat dibuat dengan kualitas gerakan yang bagus dengan menggunaan metode pose to pose serta dapat memberikan hiburan dan edukasi yang baik.