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Children';s Geometric Understanding through Digital Activities: The Case of Basic Geometric Shapes

Bilal Özçakır, Kırşehir Ahi Evran University, Ahmet Sami Konca, Nihat Arıkan, Kırşehir Ahi Evran University, Kırşehir Ahi Evran University
2019 International Journal of Progressive Education  
Hence, this study aimed to investigate children progresses on digital learning activities in terms of recognition and discrimination of basic geometric shapes.  ...  In this study, the effects of digital learning tools on learning about geometric shapes in early childhood education were investigated.  ...  Coloring basic geometric figures Children were asked to color in one of these figures and try to explain the basic properties of that figure, in this activity.  ... 
doi:10.29329/ijpe.2019.193.8 fatcat:yevgl7jg2bcqtbttazafieiggi

Strategies of Constructing Shapes in Cabri

Ibrahim Kepceoglu
2018 Higher Education Studies  
Besides, the manipulation and displacement of objects can be easily done via this software. In this study, we emphasize on that property of Cabri Geometry.  ...  In the micro-worlds formed by means of Cabri Geometry, a dynamic geometry sketchbook, users can draw and explore many geometric shapes.  ...  By this study, we aim to show how geometric thinking of students changes in dynamic geometry environment and how this change affects their knowledge about basic geometric shapes.  ... 
doi:10.5539/hes.v8n4p1 fatcat:4t2oq2ipavg5poyr3eoc5bj5ny

Geometrical Constructions in Dynamic and Interactive Mathematics Learning Environment (Invited Article)

Margo Kondratieva
2013 Mevlana International Journal of Education  
It describes a sequence of learning activities that combine geometrical constructions with explorations, observations, and explanations of facts related to the geometry of triangle.  ...  Within this approach, a discussion of the Euler and Nigel lines receives a unified treatment via employment of a plane transformation that maps a triangle into its medial triangle.  ...  The use of basic geometric configurations associated with these elementary constructions was a deliberate choice, allowing students to internalize basic geometrical properties.  ... 
doi:10.13054/mije.si.2013.06 fatcat:wneqoo44ozbcbhgm3gmlpt6hha

Automatic Synthesis of Geometry Problems for an Intelligent Tutoring System [article]

Chris Alvin, Sumit Gulwani, Rupak Majumdar, Supratik Mukhopadhyay
2015 arXiv   pre-print
with a set of properties true of it.  ...  This paper presents an intelligent tutoring system, GeoTutor, for Euclidean Geometry that is automatically able to synthesize proof problems and their respective solutions given a geometric figure together  ...  Given a geometric Figure F , we will construct two sets of properties that describe F . The first set of properties, I, describe the invariant characteristics of F .  ... 
arXiv:1510.08525v1 fatcat:ynxhlekwgzgvfftv66sbtitwum

Triangular Structures: Definition and properties [article]

Alexander Skutin
2021 arXiv   pre-print
In this article, we introduce the concept of triangular structures, which can be seen as a useful tool in the field of planar geometry.  ...  For each triangle ABC, define C(ABC) as the union of all basic triangular objects from the list 1 defined for ordered triangles ABC) are points such that the lines X ab Y ab , . . . , X ca Y ca are concurrent  ...  By a triangular object X we mean a set of objects -points, lines, or circles X( # " ABC), which are defined for each ordered triangle # " ABC. 1.1. Basic triangular objects.  ... 
arXiv:2110.09511v2 fatcat:3t5s42zyj5b4vemsfsdduhbuta

Estimating sulfide capacities for ternary systems with limited solubility

L.J. Wang, Q.Y. Liu, K.C. Chou
2012 Journal of Mining and Metallurgy. Section B: Metallurgy  
In view of successful application of mass triangle model in thermophysical properties, in the current work, the mass triangle model was extended to evaluate sulfide capacities of ternary systems with limited  ...  Compared with optical basicity model, the results obtained by mass triangle model are still competitive when containing Cland Fin the molten slag due to lacking the optical basicity values.  ...  One of the promising geometrical models is mass triangle model proposed by Chou et al [12] L.J.  ... 
doi:10.2298/jmmb111201025w fatcat:oxft7vxjczhgndc6jwjlvljzgq

Exploring Geometry Teaching Model: Polygon Pieces and Dictionary Tools for the Model

Shakespear Maliketi Chiphambo, Nosisi Nellie Feza
2020 Eurasia Journal of Mathematics, Science and Technology Education  
The study found that polygon pieces with mathematics dictionary enhance learners' learning of geometry through geometric inquiry.  ...  Polygon pieces assisted learners with geometric conceptualisation through cutting, constructing and measuring of angles and line segments.  ...  Five of the eight learners said that the cutting of angles and line segments in given triangles to compare dimensions supported their learning of basic geometric concepts.  ... 
doi:10.29333/ejmste/8358 fatcat:qcnawejycndh3cashu456ufhhe

Use of the van Hiele Theory in Investigating Teaching Strategies used by College of Education Geometry Tutors

Robert Armah, Philip Kissi
2019 Eurasia Journal of Mathematics, Science and Technology Education  
The van Hiele theory of geometric thinking was used to explore the type of teaching strategies employed by the mathematics tutors.  ...  However, much of the geometry teaching and learning strategies of the mathematics tutors were not structured in a way that support the development of geometric thinking as described in van Hiele Levels  ...  Apart from these tutors the others only discussed the various types of triangles and their properties on the topic "congruent and similar triangles".  ... 
doi:10.29333/ejmste/103562 fatcat:72uyqsis5re6znixxrqzuscimy

A Study of Van Hiele of Geometric Thinking among 1st through 6th Graders

2015 Eurasia Journal of Mathematics, Science and Technology Education  
)", which was undertaken to explore gender differences and passing rate of van Hiele's geometric thinking level.  ...  The conclusions drawn from this study were: (a) evidence supporting the hierarchy of the van Hiele levels, (b) students at different levels have different concepts of basic figures, and (c) for elementary  ...  As shown in Table 5 , the lower grades of the two genders have no significant differences in the three basic geometric shapes (triangle, quadrilateral, and circle) in level one (triangle: p =.929; quadrilateral  ... 
doi:10.12973/eurasia.2015.1412a fatcat:f6b72vv66bhrzplwatxy4x67ii

Some vector equality and application to the solution of geometric problems

Saipnazarov Shaylovbek Aktamovich, Saidova Munirajon Yuldashevna, Djumanazarova Zamira Kojabayevna
2021 Middle European Scientific Bulletin  
This article discusses three basic relationships and shows them when applied to solving geometric problems.  ...  When solving geometric problems using the vector method, it is necessary to move from the geometric formulation of the problem to its vector description.  ...  Then we will take them as basic in space. Then PO  . Find the coefficients x, y and z in this expansion of the vector PQ . According to the triangle rule, we have: Task 3.  ... 
doi:10.47494/mesb.2021.11.491 fatcat:ztuziva52bdqdgizqvwpolgiiu

A Novel Method for Recognizing Sketched Objects by Learning Their Geometrical Features

2020 jecet  
In this paper, we present and explain a novel method for recognizing sketched object by learning a specific set of geometrical features, and creating a classification for these objects.  ...  This is currently important, particularly because of recent advances in human computer interactions via portable devices.  ...  After finishing experiment, we derived group of geometric properties. We depend on numbers of geometric properties to using its in recognizing the object.  ... 
doi:10.24214/jecet.b.9.2.21423 fatcat:qwxeurjzmrhnbccyvxdfdvcur4

A combination of nonstandard analysis and geometry theorem proving, with application to Newton's Principia [chapter]

Jacques D. Fleuriot, Lawrence C. Paulson
1998 Lecture Notes in Computer Science  
We reveal and prove new properties of this geometry that only hold because infinitesimal elements are allowed and use them to prove lemmas and theorems from the Principia.  ...  The Principia's reasoning is resolutely geometric in nature but contains "infinitesimal" elements and the presence of motion that take it beyond the traditional boundaries of Euclidean Geometry.  ...  The Geometric Methods In these methods there are basic lemmas about geometric properties called signed areas and full-angles.  ... 
doi:10.1007/bfb0054241 fatcat:syh34cg2gza2jfuvz4u6pepazi

From Logical to Distributional Models

Anne Preller
2014 Electronic Proceedings in Theoretical Computer Science  
The geometrical operations of quantum logic are reformulated as algebraic operations on vectors.  ...  A map from functional models to vector space models makes it possible to compare the meaning of sentences word by word.  ...  The interpretation J C is a one-to-one map from predicates on A to Boolean vectors of V C ≃ V A if C consists of the singleton sets {a 1 } , . . . , {a n }.  ... 
doi:10.4204/eptcs.171.11 fatcat:u3ojlmzlevfgvk5jr52vxbpogu

COMPUTING WATERTIGHT VOLUMETRIC MODELS FROM BOUNDARY REPRESENTATIONS TO ENSURE CONSISTENT TOPOLOGICAL OPERATIONS

M. W. Jahn, P. E. Bradley
2021 ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences  
The algorithms developed for this task are presented, whereby using the philosophy of graph databases and the Property Graph Model.  ...  They ensure topologically consistent 3D models and allow the definition of proper topological operations.  ...  The basic idea of Algorithm 5 is to bite a couple of tetrahedra from a closed triangle complex (closed hulls).  ... 
doi:10.5194/isprs-annals-viii-4-w2-2021-21-2021 fatcat:apovj7qnwvabrisve23y3vspcm

The Role of Complex Numbers in Interdisciplinary Integration in Mathematics Teaching

Katerina Anevska, Valentina Gogovska, Risto Malcheski
2015 Procedia - Social and Behavioral Sciences  
However, almost without exception, in all degrees of education their application is restricted to geometrical interpretation of the complex number and solving algebraic equations.  ...  Needles to say, we can achieve the last with the introduction of a new teaching course Geometry of complex numbers, as well as with the study of the mentioned content within the existing courses in elementary  ...  similarities and inversion, Möbius transformation, geometric properties of Möbius' transformation, Central and inscribed angle of a circle, radical axis and radical center, Important points of a triangle  ... 
doi:10.1016/j.sbspro.2015.04.553 fatcat:tsekjgtqcfgp3bcyhq46kfxf7y
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