Development and implementation of RME-based lessons on sinusoidal functions using geogebra

This action research was designed to develop a lesson on sinusoidal functions (sine and cosine) under Realistic Mathematics Education approach. The instructional approach used was anchored to the connection and relationship of three different contexts in trigonometry namely the triangle trigonometry...

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Main Author: Rellosa, Maria Celeste R.
Format: text
Language:English
Published: Animo Repository 2016
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Online Access:https://animorepository.dlsu.edu.ph/etd_masteral/5164
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Institution: De La Salle University
Language: English
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spelling oai:animorepository.dlsu.edu.ph:etd_masteral-120022024-07-13T01:21:24Z Development and implementation of RME-based lessons on sinusoidal functions using geogebra Rellosa, Maria Celeste R. This action research was designed to develop a lesson on sinusoidal functions (sine and cosine) under Realistic Mathematics Education approach. The instructional approach used was anchored to the connection and relationship of three different contexts in trigonometry namely the triangle trigonometry, the circle trigonometry and trigonometric function with their representations using Geogebra. Moreover, the study sought to address the challenges and pedagogical issues in trigonometry by adapting the RME theory for instruction in the Philippines setting. The instructional lesson materials underwent a validation from the four experts and were implemented in a regular heterogeneous class in a private school in Makati not handled by the researcher. It was employed to six pair participants with each pair comprising of two individuals with different abilities along the three-week implementation of the nine lessons of the materials. Qualitative data sources taken from the worksheets, home works, exercises, reflection sheets and field notes observation in every lesson were described, interpreted and compared to arrive at a set of valid findings in determining the support provided by the lesson materials during instruction in the students learning on sinusoidal functions. The interview tasks and test that were collected after the instruction were also incorporated in the results. The following themes came out in determining the support provided by the lesson materials that exhibited in the students outputs in learning sine and cosine function: (1) Relevance of the context in exposing mathematical ideas (2) Bridging the abstract concept of math through visualizations(drawings, pictures, illustrations) (3) Adaptability - this pertains to the students reception of the use of technology in the classroom and students treatment to the new approach--RME based lessons vs. their orientation to traditional classroom and (4) Collaboration. Implications were drawn on providing a similar approach that should have done already prior to conducting the lesson materials offered by this study. This approach would require students in citing observations, comparing, recognizing a relationship and making conclusion as favored by guided reinvention principle of RME. A closer look into the scaffoldings necessary for students to establish a strong connection from right triangle to unit circle and unit circle to graph of sinusoidal functions is suggested. 2016-05-21T07:00:00Z text https://animorepository.dlsu.edu.ph/etd_masteral/5164 Master's Theses English Animo Repository Trigonometry Mathematics—Study and teaching Mathematics
institution De La Salle University
building De La Salle University Library
continent Asia
country Philippines
Philippines
content_provider De La Salle University Library
collection DLSU Institutional Repository
language English
topic Trigonometry
Mathematics—Study and teaching
Mathematics
spellingShingle Trigonometry
Mathematics—Study and teaching
Mathematics
Rellosa, Maria Celeste R.
Development and implementation of RME-based lessons on sinusoidal functions using geogebra
description This action research was designed to develop a lesson on sinusoidal functions (sine and cosine) under Realistic Mathematics Education approach. The instructional approach used was anchored to the connection and relationship of three different contexts in trigonometry namely the triangle trigonometry, the circle trigonometry and trigonometric function with their representations using Geogebra. Moreover, the study sought to address the challenges and pedagogical issues in trigonometry by adapting the RME theory for instruction in the Philippines setting. The instructional lesson materials underwent a validation from the four experts and were implemented in a regular heterogeneous class in a private school in Makati not handled by the researcher. It was employed to six pair participants with each pair comprising of two individuals with different abilities along the three-week implementation of the nine lessons of the materials. Qualitative data sources taken from the worksheets, home works, exercises, reflection sheets and field notes observation in every lesson were described, interpreted and compared to arrive at a set of valid findings in determining the support provided by the lesson materials during instruction in the students learning on sinusoidal functions. The interview tasks and test that were collected after the instruction were also incorporated in the results. The following themes came out in determining the support provided by the lesson materials that exhibited in the students outputs in learning sine and cosine function: (1) Relevance of the context in exposing mathematical ideas (2) Bridging the abstract concept of math through visualizations(drawings, pictures, illustrations) (3) Adaptability - this pertains to the students reception of the use of technology in the classroom and students treatment to the new approach--RME based lessons vs. their orientation to traditional classroom and (4) Collaboration. Implications were drawn on providing a similar approach that should have done already prior to conducting the lesson materials offered by this study. This approach would require students in citing observations, comparing, recognizing a relationship and making conclusion as favored by guided reinvention principle of RME. A closer look into the scaffoldings necessary for students to establish a strong connection from right triangle to unit circle and unit circle to graph of sinusoidal functions is suggested.
format text
author Rellosa, Maria Celeste R.
author_facet Rellosa, Maria Celeste R.
author_sort Rellosa, Maria Celeste R.
title Development and implementation of RME-based lessons on sinusoidal functions using geogebra
title_short Development and implementation of RME-based lessons on sinusoidal functions using geogebra
title_full Development and implementation of RME-based lessons on sinusoidal functions using geogebra
title_fullStr Development and implementation of RME-based lessons on sinusoidal functions using geogebra
title_full_unstemmed Development and implementation of RME-based lessons on sinusoidal functions using geogebra
title_sort development and implementation of rme-based lessons on sinusoidal functions using geogebra
publisher Animo Repository
publishDate 2016
url https://animorepository.dlsu.edu.ph/etd_masteral/5164
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