Quilt Block Symmetries

2016 ◽  
Vol 22 (1) ◽  
pp. 18-27
Author(s):  
Matt B. Roscoe ◽  
Joe Zephyrs

Pull on the threads of congruence and similarity in a series of lessons that explores transformational geometry.

Author(s):  
Elena Anne Corie Marchisotto ◽  
Francisco Rodríguez-Consuegra ◽  
James T. Smith

1977 ◽  
Vol 24 (3) ◽  
pp. 191-195
Author(s):  
Martin L. Johnson

Many current elementary textbooks and curriculum guides are placing increasing emphasis on the teaching of transformational geometry. This topic, however, is still relatively unfamiliar to many classroom teachers, and ways of helping teachers and students acquire a “feel” for simple, basic transformations are needed.


2018 ◽  
Vol 1 (1) ◽  
pp. 1-8
Author(s):  
Ratri Isharyadi ◽  
Marfi Ario

This study aims to develop and find out the quality of teaching materials in the form of teaching modules assisted by the geogebra program on transformational geometry lectures. The Geogebra-assisted transformation geometry module is structured systematically and accompanied by steps to solve transformation problems using Geogebra. This type of research is development research (Research and Development / R & D). The development model is 4D which consists of four stages, namely defining, designing, developing and disseminating. In this study, only three steps were carried out, namely the defining, the design, and the development stage. The research instrument is a module validation sheet. The product assessment was carried out by 3 validators consisting of 2 material experts and 1 media expert who was a lecturer in the mathematics education study program. The results showed that the assessment of the two validators of material experts on the geogebra-assisted transformation geometry module developed had an average total score of 3.38 with very good criteria, while for validators media experts had an average total score of 3.21 with very good criteria.  Very good criteria from the results of the validation of media experts and material experts showed that the geometry module of geogebra-assisted transformation was valid and suitable for use as teaching material in lectures.


2020 ◽  
Vol 13 (2) ◽  
pp. 174-185
Author(s):  
Sedef SEVGİ ◽  
Ayten ERDURAN

Abstract: The purpose of this study is to investigate how students’ in senior grade of the high school participate in and interpret the transformational geometry activities integrated with cultural context. 5 students in senior grade participated in this study, all of whom live in Aydın district of Turkey. The main design of the study is qualitative. Participant students of the study involved in 9 different rotational geometry and culture integrated activities, 7 of which were performed as student activity sheets, 2 of which were performed as cultural games. 2 of the activities were constructed as a result of pilot study applied to 28 senior students by their math teacher. To collect data about how students participated in and made interpretations about the activities; various data collection tools such as observation, field notes, interview, audio recording and student activity sheets were used. The collected data were analyzed by qualitative descriptive analysis techniques. The results were presented as tables, figures constructed by students and direct quotations. Lastly, at the end of this study students were said to recognize the hidden mathematics in the objects from daily life, games with cultural background and history, and both in Turkish culture and other cultures.


Author(s):  
Nur Fadilatul Ilmiyah ◽  
Annisa Annisa ◽  
Azizatul Fitriyah ◽  
Berlyana Sukma Vebyanti

Mathematical contextualization is interpreted as identifying the existence of mathematics developed by different cultural groups. The existence of ethnomathematics in education offers a learning approach that connects mathematics with the local cultural wisdom of the community. The main focus of this research is to identify ethnomathematics in woven handicrafts in Plaosan Village, Kediri Regency. This research is qualitative descriptive research. Data were collected using observation, documentation, interview, and literature study techniques. The results showed that there were ethnomathematics in woven handicrafts in Plaosan Village. The mathematical elements that can be found in the woven motifs are the concept of the plane, the concept of lines and the relationships between lines, the concept of angles, and the concept of transformational geometry. The fundamental mathematics activities that can be found in the weaving activities are counting, measuring, designing, locating, playing, and explaining.


1982 ◽  
Vol 29 (8) ◽  
pp. 36-38
Author(s):  
Gail Spitler

The geoboard is an excellent vehicle for developing intuitive understandings of various topics in transformational geometry. In particular, the geoboard can be used most effectively in studying the area of various polygonal regions and what happens to the area of the region as its shape is changed. In the activities described in this article, students discover the fact that when a triangle or parallelogram is subjected to a transformation called a shear, its area is not changed.


1972 ◽  
Vol 3 (4) ◽  
pp. 260-271
Author(s):  
Harold J. Williford

The purpose of this study was to assess the performance of Ss who were given instruction in transformational geometry as compared with Ss who received minimal introductory instruction on transformational geometry terminology and concepts. The criterion measures were geometry achievement and spatial ability. 63 second- and third-grade Ss were randomly assigned to experimental and control groups. The experimental Ss received a 12 lesson treatment and the control Ss a 1 lesson treatment concerning rigid motion and congruence concepts. Results indicated that after instruction the experimental Ss performed significantly better than the control Ss on the achievement test, but not on the space test. The results imply that children can learn transformational geometry skills, but the evidence also suggests they have difficulty in applying these skills to a more general task.


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