scholarly journals Visual argumentations in teaching trigonometry

2021 ◽  
Vol Accepted manuscript ◽  
Author(s):  
Francesco Laudano
Keyword(s):  
Euclidean Geometry ◽  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
Secondary Science ◽  
Virtual Classrooms ◽  
Inquiry Based Learning ◽  
Learning Path ◽  
Laboratory Teaching ◽  
Research Experiment ◽  
End Of Grade

In this paper, we study the possibility of building a learning path that allows students to develop trigonometric knowledge and skills by the end of Grade 10 of secondary science-based schools. In particular, we describe an action research experiment, in part done through distance learning, aimed at incorporating all trigonometry topics within the framework of the study of Euclidean geometry. The inquiry-based learning methodology and the support of dynamic geometry software with a laboratory teaching approach were used. The learning path is based on several “visual/dynamic proof” and is explained by an example lesson on the Cosines Law. The experiment could be extended by teachers into physical/virtual classrooms and could offer practical strategies and tools for teaching trigonometry.

scholarly journals MENINGKATKAN KEMAMPUAN SPASIAL SISWA MELALUI PEMBELAJARAN GEOMETRI BERBANTUAN CABRI 3D

2017 ◽  
Vol 2 (2) ◽  
pp. 179-194
Author(s):  
Eline Yanty Putri Nasution
Keyword(s):  
High School Students ◽  
Spatial Ability ◽  
Direct Instruction ◽  
Junior High School ◽  
Teaching And Learning ◽  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
Control Group ◽  
School Students ◽  
Ability Test

The purpose of this study are to investigate and to describe the gain of students‘ spatial ability through Geometry teaching and learning by using a dynamic geometry software, Cabri 3D. This study was a quasi experimental research with not equivalent control group design. Direct instruction was implemented in control group otherwise Geometry teaching and learning with using Cabri 3D was implemented in experimental group. The population of this study are all of the eight grade of junior high school students in one of the SMP Negeri in Padangsidimpuan City. The sample of this study were two groups of eighth grade. The sample has been choosed with using purposif sample technique. The instruments of this study were spatial ability test, quationere, observation sheet and interview. The test was analysed quantitatively and non test was analyzed qualitatively in order to answer the  the hypotesa, the gain of students’ spatial ability who has studied and lerant with using Cabri 3D is better than direct instruction.

scholarly journals Nature of metacognition in a dynamic geometry environment

2015 ◽  
Vol 3 (5) ◽  
pp. 627-646
Author(s):  
Ana Kuzle
Keyword(s):  
Problem Solving ◽  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
Dynamic Geometry Environment ◽  
Mathematics Problem Solving ◽  
Managerial Decisions ◽  
Metacognitive Processes ◽  
Geometry Problem ◽  
Mathematics Problem

This case study examined the metacognitive processes of a preservice teacher when solving a nonroutine geometry problem in a dynamic geometry environment. The main purpose of the study was to uncover and investigate patterns of metacognitive processes and to understand what circumstances, situations, and interactions in a dynamic geometry environment promoted metacognitive behaviors. An adaptation of Schoenfeld’s (1981) model of episodes and executive decisions in mathematics problem solving, and the theory of instrumentation (Rabardel, 2001) was used to identify patterns of metacognitive processes in a dynamic geometry environment. During different phases of problem solving the participant engaged in different metacognitive behaviors whereas the dynamic geometry software supported strategies that are available and/or not available on paper and pen. The effectiveness of solution paths was dependent on the presence of managerial decisions, and well-orchestrated usage of different resources, both knowledge and technology. However, the results of the study call to question to which extent engagement in metacognitive behaviors is necessarily desirable or productive.

scholarly journals Preparing In-Service Teacher Using Dynamic Geometry Software

2018 ◽  
Vol 7 (4.30) ◽  
pp. 367
Author(s):  
Fariz Setyawan ◽  
Yosep Dwi Kristanto ◽  
Naufal Ishartono
Keyword(s):  
Professional Development ◽  
Learning Process ◽  
Teaching And Learning ◽  
Dynamic Geometry ◽  
Development Program ◽  
Dynamic Geometry Software ◽  
Professional Development Program ◽  
Skills Transfer ◽  
Teachers Perceptions ◽  
Use Of Technology

The use of technology is essential in teaching and learning process. Many researchers have already been implemented Dynamic Geometry Software (DGS) in teaching and learning process. Given the importance of DGS, it is necessary for in-service teachers to use the software in their teaching and learning. Hence, it is important to prepare in-service teacher in utilizing DGS through the professional development program. This is a qualitative research which describes a professional development program to facilitate in-service teachers in utilizing DGS. Both questionnaire and review measured in-service teachers’ perceptions, knowledge and skills transfer, and impact for their practice. From the findings, four of five in-service teachers recognized that they can interact with geometric figures to move on to the next level by using DGS. The teachers felt that DGS has helped them to understand the mathematics concept and demonstrate their understanding in front of the class. Besides, DGS does not only offer opportunities for teachers and students to use them both at home and in the classroom, but they also provide a means for developing support and user communities reaching across borders especially in understanding of geometrical transformation. It has contributed that the teachers easily recognize the geometrical shapes interpretations dynamically on DGS.

“Click, Drag, Think!”

2013 ◽  
pp. 37-69
Author(s):  
Thomas Gawlick
Keyword(s):  
Conceptual Framework ◽  
Dynamic Geometry ◽  
Dynamic Geometry Software ◽  
Advanced Case ◽  
Teaching Unit

The author points out that to fully exploit the heuristic potential of Dynamic Geometry Software (DGS) and to increase the heuristic literacy of students, extant DGS teaching units have to be ameliorated in several ways. Thus the author develops a twofold conceptual framework: heuristic reconstruction and heuristic instrumentation of problems. Its origin is rooted in the literature, its use is demonstrated by various examples, and its value is made plausible by an introductory teaching unit an advanced case study.

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