scholarly journals Transformation Geometry in Toraja Carving

2020 ◽  
Vol 8 (3) ◽  
Author(s):  
Beatric Videlia Remme'
Keyword(s):  
Transformation Geometry

Ukiran Toraja (passura’) merupakan hasil budaya Toraja yang tetap dilestarikan dan memuat berbagai nilai kehidupan. Selain itu, pada ukiran Toraja juga kaya dengan konsep matematika, khususnya bangun geometri. Penelitian ini bertujuan untuk mengidentifikasi konsep-konsep geometri transformasi apa saja yang terdapat pada ukiran Toraja. Penelitian ini merupakan penelitian kualitatif dengan pendekatan etnografi, dan dilakukan dalam 3 tahapan. Informan (sumber data) dalam penelitian ini adalah orang yang paham tentang seluk beluk budaya Toraja. Data dalam penelitian ini diperoleh dari data hasil wawancara dengan informan, catatan lapangan yang dibuat selama penelitian berlangsung dan hasil dokumentasi berupa foto ukiran dan saat mengukir. Untuk memperoleh data yang valid maka peneliti menggunakan triangulasi teori. Hasil dari penelitian menunjukkan bahwa pada ukiran tongkonan dan lumbung Toraja terdapat konsep-konsep geometri transformasi yaitu refleksi baik terhadap garis x, y, y = x, y = -x, dan terhadap titik 0 (0,0), translasi, rotasi dan dilatasi.

scholarly journals Triggering fourth graders’ informal knowledge of isometric transformation geometry through the exploration of Malay cloth motif

2018 ◽  
Vol 2 (1) ◽  
pp. 26
Author(s):  
Febrian Febrian ◽  
Sukma Adi Perdana
Keyword(s):  
Elementary School ◽  
Design Research ◽  
Fourth Graders ◽  
Informal Knowledge ◽  
Spatial Sense ◽  
Isometric Transformation ◽  
Hands On ◽  
The Subject ◽  
Transformation Geometry ◽  
Triggering Process

Existing study revealed that the children have dynamics spatial sense on objects. One of important mathematics topics that can be related to the sense-triggering process is the isometric transformation geometry including reflection, translation, and rotation. This topic is introduced to the fourth and the fifth graders of elementary school. However, learning process in school tends to lack concern on this students’ readily-triggered ability. There is also insufficient number of hands-on activities experienced by the students. It is poor since the hands-on activities can facilitate students’ informal knowledge of isometric transformation geometry. Therefore, this two cycled design research aims to counter such situation. It was conducted at State Elementary School 001 of Toapaya, Kabupaten Bintan, Kepulauan Riau by using RME approach. The subject of the study was the fourth graders. Malay cloth motif was used as the context of the study through the exploration activities. The results indicated that the activities could trigger students’ informal knowledge of: reflection, translation, rotation, constant factors, and transformation composition.

scholarly journals DESIGNING LEARNING ROTATION USING THE CONTEXT OF BAMBOO WOVEN MOTIF

2020 ◽  
Vol 4 (2) ◽  
pp. 100
Author(s):  
Maryati Maryati ◽  
Rully Charitas Indra Prahmana
Keyword(s):  
Design Research ◽  
Learning Trajectory ◽  
Realistic Mathematics Education ◽  
Preliminary Design ◽  
Realistic Mathematics ◽  
Formal Level ◽  
Three Stages ◽  
Transformation Geometry ◽  
Ninth Grade Students ◽  
Design Experiments

An essential part of learning transformation geometry is rotation. Before learning more about other parts of the transformation geometry topic, such as translation, dilation, and reflection, firstly, students are required to understand well about rotation. However, several students have not been able to understand this subject properly due to the stages of learning in the rotation has not been appropriately arranged. Thus, this study aims to design a student learning trajectory in learning rotation, which develop from informal to formal level through the Indonesian Realistic Mathematics Education (IRME) approach. Furthermore, researchers used a design research method divided into three stages, namely preliminary design, design experiments, and retrospective analysis. This study describes how the bamboo woven motif contributes significantly to 31 ninth-grade students understanding the rotation concept. As a result, the woven bamboo motif's context can stimulate students' understanding of rotation. It is proven based on the strategies and models of students during their learning process which contributes to their fundamental knowledge of rotation.

scholarly journals Analysis of learning obstacles on transformation geometry

2019 ◽  
Vol 1157 ◽  
pp. 042100
Author(s):  
M S Noto ◽  
N Priatna ◽  
J A Dahlan
Keyword(s):  
Transformation Geometry

Transformation Geometry, an Introduction to Symmetry

1983 ◽  
Vol 67 (440) ◽  
pp. 154
Author(s):  
R. P. Burn ◽  
George E. Martin
Keyword(s):  
Transformation Geometry

An Analysis of Some of Piaget's Topological Tasks from a Mathematical Point of View

1976 ◽  
Vol 7 (1) ◽  
pp. 8-24
Author(s):  
J. Larry Martin
Keyword(s):  
Mathematics Curriculum ◽  
Point Of View ◽  
Analytic Geometry ◽  
Real Numbers ◽  
The Real ◽  
Mathematics Educators ◽  
Structural Nature ◽  
Nature Of Mathematics ◽  
Transformation Geometry ◽  
Made In

During the 1950s and '60s, sweeping changes were made in the mathematics curriculum that were largely due to fundamental changes that had occurred in mathematics. Among these changes was a trend toward emphasizing the structural nature of mathematics. However, changes in the content of geometry represented more of a tentative groping than did changes in content dealing with the real numbers. Many approaches to geometry were proposed, such as those of transformation geometry, synthetic geometry, analytic geometry. and vector geometry. Although agreement was not reached as to approach nor indeed even as to the purpose of geometry in the curriculum, mathematics educators did agree that more geometry should be included and included much earlier than was done traditionally.

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