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[[Category:Courses]]
 
[[Category:Courses]]
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[[Category:Mathematics]]
    
== Introduction to the course and overview of ICT tools and Open Educational Resources  ==
 
== Introduction to the course and overview of ICT tools and Open Educational Resources  ==
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=== Installation of Geogebra ===
 
=== Installation of Geogebra ===
 
{{Youtube|YGyTxS_-FSM
 
{{Youtube|YGyTxS_-FSM
−
}}
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}}Presentation slide:
 +
 
 +
[[:File:Installing Geogebra slides.odp|Installing Geogebra slides]]
    
=== Introduction to Geogebra ===
 
=== Introduction to Geogebra ===
 
{{Youtube|WQUsrXf2e2c
 
{{Youtube|WQUsrXf2e2c
−
}}
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}}Geogebra File:
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 +
[[:File:Introduction to Geogebra - Angle Construction.ggb|Introduction to Geogebra- Angle construction.gbb]]
    
=== ICT and Education ===
 
=== ICT and Education ===
 
{{Youtube|8F5XGhDSVJY
 
{{Youtube|8F5XGhDSVJY
−
}}
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}}Presentation slide:
 +
 
 +
[[:File:ICT and Education.odp|ICT and Education- slides]]
    
== Introduction to Geogebra ==
 
== Introduction to Geogebra ==
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# get a working proficiency of the ''Geogebra'' application and all its functionalities;
 
# get a working proficiency of the ''Geogebra'' application and all its functionalities;
 
# create ''Geogebr''a sketches as teaching resources for high-school maths concepts.
 
# create ''Geogebr''a sketches as teaching resources for high-school maths concepts.
 +
 +
=== Creating text box and Input bar in Geogebra ===
 
{{Youtube|qvFJRv_NISY
 
{{Youtube|qvFJRv_NISY
−
}}
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}}Geogebra file:
 +
 
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[[:File:Sum of Measures of Angles of a Triangle using Text box and Input bar.ggb|Sum of Measures of Angles of a triangle using textbox and input bar.ggb]]
   −
=== '''Use of Geogebra for teaching-learning''' ===
+
=== Use of Geogebra for teaching-learning ===
    
==== Lines and Angles ====
 
==== Lines and Angles ====
 
{{Youtube|06eNwePPVHg
 
{{Youtube|06eNwePPVHg
−
}}
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}}Geogebra files:
 +
 
 +
[[:File:1. Angles introduction.ggb|Angles introduction.ggb]]
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[[:File:2.Introduction to a triangle 0.ggb|Introduction of a triangle.ggb]]
    
==== Exploring Similarity ====
 
==== Exploring Similarity ====
 
{{Youtube|KG-jIyjl2Mo
 
{{Youtube|KG-jIyjl2Mo
−
}}
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}}Presentation slides:
 +
 
 +
[[:File:Use of Geogebra for teaching learning Similarity.odp|Use of Geogebra for teaching learning Similarity.odp]]
 +
 
 +
Geogebra files:
 +
 
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[[:File:Congruence Introduction on different shapes.ggb|Congruence introduction to different shapes.ggb]]
 +
 
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[[:File:Triangle Congruence.ggb|Triangle Congruence.ggb]]
 +
 
 +
[[:File:Demonstrating Proportionality.ggb|Demonstrating proportionality.ggb]]
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 +
[[:File:Exploring Similarity.ggb|Exploring Similarity.ggb]]
    
== Developing mathematical proficiencies of logical reasoning and problem-solving ==
 
== Developing mathematical proficiencies of logical reasoning and problem-solving ==
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==== Use of Slider and Input Box in Geogebra ====
 
==== Use of Slider and Input Box in Geogebra ====
 
{{Youtube|RSOcFTFp7So|350|300
 
{{Youtube|RSOcFTFp7So|350|300
−
}}
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}}Presentation slides:
 +
 
 +
[[:File:Use of sliders for animating Geogebra files.odp|Use of sliders for animating Geogebra files.odp]]
 +
 
 +
[[:File:Use of sliders for animating Geogebra files .pdf|Use of sliders for animating Geogebra files.pdf]]
    
==== Use of checkbox to create an interactive lesson ====
 
==== Use of checkbox to create an interactive lesson ====
 
{{Youtube|YFKNUPcNBoc
 
{{Youtube|YFKNUPcNBoc
−
}}
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}}Presentation slides:
 +
 
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[[:File:Use of checkboxes.odp|Use of checkboxes.odp]]
 +
 
 +
[[:File:Week 3 - Use of checkboxes 0.pdf|Use of checkboxes.pdf]]
   −
=== Use of Geogebra in teaching learning ===
+
=== Use of Geogebra in teaching-learning ===
    
==== Basic Proportionality Theorem ====
 
==== Basic Proportionality Theorem ====
 
{{Youtube|6dILgYdEU4c
 
{{Youtube|6dILgYdEU4c
−
}}
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}}Presentation slide:
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[[:File:Use of Geogebra for teaching learning Basic Proportionality.pdf|Use of Geogebra for teaching learning Basic Proportionality.pdf]]
    
==== Linear Equation and Simultaneous Linear Equation ====
 
==== Linear Equation and Simultaneous Linear Equation ====
 
{{Youtube|vApazM_j6BE
 
{{Youtube|vApazM_j6BE
−
}}
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}}Presentation slides:
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[[:File:Exploring Geogebra for self learning.pdf|Exploring Geogebra for self learning.pdf]]
    
== Strengthening teaching-learning processes in classrooms ==
 
== Strengthening teaching-learning processes in classrooms ==
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# create lessons using Geogebra for teaching high-school mathematics;
 
# create lessons using Geogebra for teaching high-school mathematics;
 
# evaluate multiple resources including Geogebra resources for the development of a lesson plan;
 
# evaluate multiple resources including Geogebra resources for the development of a lesson plan;
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# develop a sense of comfort and familiarity with transacting lessons using Geogebra in classrooms.
    
=== Use of Geogebra in teaching-learning ===
 
=== Use of Geogebra in teaching-learning ===
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==== Lesson in Pythagoras theorem ====
 
==== Lesson in Pythagoras theorem ====
 
{{Youtube|Ek3YInvKVaM
 
{{Youtube|Ek3YInvKVaM
−
}}
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}}Presentation slides:
 +
 
 +
[[:File:A lesson in Pythagoras theorem.pdf|A lesson in Pythagoras theorem.pdf]]
 +
 
 +
Pythagoras theorem related Geogebra files:
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# [[:File:Pythagoras theorem- Illustration with unit square.ggb|Illustration with unit square.ggb]]
 +
# [[:File:Bhaskara's Dissection Proof Showing Dissection.ggb|Bhaskara's Dissection Proof Showing Dissection.ggb]]
 +
# [[:File:Bhaskara's Dissection Proof Explained Visually.ggb|Bhaskara's Dissection Proof Explained Visually.ggb]]
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# [[:File:Bhaskara's Dissection Proof Explained Algebraically.ggb|Bhaskara's Dissection Proof Explained Algebraically.ggb]]
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# [[:File:Pythagoras Theorem Logical proof.ggb|Pythagoras Theorem Logical proof.ggb]]
    
==== Lesson on Circles ====
 
==== Lesson on Circles ====
 
{{Youtube|D-YqdK4HY_U
 
{{Youtube|D-YqdK4HY_U
−
}}
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}}Presentation slides:
 +
 
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[[:File:Use of Geogebra for teaching learning - Circles.pdf|Use of Geogebra for teaching learning - Circles.pdf]]
 +
 
 +
[[:File:Use of Geogebra for teaching learning - Circles.odp|Use of Geogebra for teaching learning - Circles.odp]]
 +
 
 +
Geogebra files related to circles:
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# [[:File:Introduction to circles.ggb|Introduction to circles.ggb]]
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# [[:File:Introducing common measures in a circle.ggb]]
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# [[:File:Angles in a circle.ggb]]
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# [[:File:Dividing a circle into arcs and sectors.ggb]]
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# [[:File:Dividing a circle into arcs and sectors - to show ratios.ggb]]
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# [[:File:Introduction to secant and tangent.ggb]]
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# [[:File:Circle through 3 points.ggb]]
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# [[:File:Circle through 3 points proof.ggb]]
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# [[:File:Polygon tending to circle.ggb]]
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# [[:File:Tangent is perpendicular to radius.ggb]]
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# [[:File:Equal chords and distance from center.ggb]]
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# [[:File:Equidistantchords (alternate construction).ggb]]
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# [[:File:Chord length and perpendicular distance from centre.ggb]]
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# [[:File:Pependicular from center to chord divides the chord.ggb]]
    
=== Use of Construction Protocol ===
 
=== Use of Construction Protocol ===
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==== Parallelogram Construction ====
 
==== Parallelogram Construction ====
 
{{Youtube|fKsnt8p_DKc
 
{{Youtube|fKsnt8p_DKc
 +
}}[[:File:Parallelogram Construction.ggb|Parallelogram Construction.ggb]]
 +
 +
== Additional Videos ==
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Learners will be able to-
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# Explore advanced mathematical concepts through Geogebra
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# Understand and create resources on limits of a function and its application using Geogebra
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# Understand and create resources on derivative of a function using Geogebra
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# Explore the demonstration of 3D tools and create Geogebra files.
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=== Limits and Derivatives ===
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'''Introduction to limits of a function'''
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 +
{{Youtube|mZ1xIUvrxrE
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}}
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[[:File:Week 3- Introduction to Limits of a function.pdf|Click here]] for transcript of the video
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 +
Geogebra files on limits of a function :
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* [[:File:1. Slope of function -2x+1.ggb|Slope of the function 2x+1.ggb]]
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* [[:File:Quadratic function f(x)=x^2.ggb|Quadratic function f(x) = x<sup>2</sup>.ggb]]
 +
* [[:File:Limits of the function- 2x+1.ggb|Limits of a function 2x+1.ggb]]
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'''Application of limits of a function- Derivatives'''
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 +
{{Youtube|ggkHdHVal8A
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}}
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=== Explore 3D Geometry using Geogebra ===
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'''Introduction to 3D Geometry'''
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{{Youtube|Cf_tq-zJhDc
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}}'''Finding Surface Area of the Right Prism'''
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{{Youtube|6olldZ865rM
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}}
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'''Finding Volume of the Right Prism'''
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{{Youtube|i8dQ5n_jVPQ
 
}}
 
}}
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Learners will be able to:
 
Learners will be able to:
 
# download and upload Geogebra resources from the Geogebra Repository
 
# download and upload Geogebra resources from the Geogebra Repository
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Click this link for opening the Geogebra repository https://www.geogebra.org/<nowiki/>{{Youtube|ECFKjQXT6IE
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Click this link for opening the Geogebra repository https://www.geogebra.org/
 +
 
 +
{{Youtube|ECFKjQXT6IE
 
}}
 
}}
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Presentation slide:
 +
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[[:File:Geogebra - Creating your account on Geogebra OER repository and uploading and sharing your resources.pdf|Geogebra - Creating your account on Geogebra OER repository and uploading and sharing your resources.pdf]]
 +
 +
== Resources ==
 +
* [https://teacher-network.in/OER/index.php/Teachers%27_toolkit_for_creating_and_re-purposing_OER_using_FOSS '''Teachers' toolkit for creating and re-purposing OER using FOSS''']
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* '''Installing Geogebra - website to download Geogebra from'''
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Installing on computer -  https://wiki.geogebra.org/en/Reference:GeoGebra_Installation#GeoGebra_Classic_5_for_Desktop
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Installing on phone - https://www.geogebra.org/download
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* '''Geogebra hands-on activities checklist'''
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This document provides a sequenced list of activities for your hands-on practice of Geogebra.
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Some of these have been covered in the lectures. Some you can try based on what we have covered in the lecture.
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You can refer to the [https://teacher-network.in/OER/index.php/Learn_Geogebra Learn_Geogebra] user  manual for help and also to the online [https://wiki.geogebra.org/en/Manual Geogebra manual]
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* [https://itforchange.net/learnings-from-using-geogebra-to-support-mathematics-teaching-government-high-schools '''Learnings from using Geogebra to support mathematics teaching in government high schools''']
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* '''There Are No Technology Shortcuts to Good Education'''
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Kentaro Toyama. 2011. [http://edutechdebate.org/ict-in-schools/there-are-no-technology-shortcuts-to-good-education/ There Are No Technology Shortcuts to Good Education]
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* '''Open Educational Resources (OER) and Free and Open Source Software (FOSS) are aligned'''
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“The means are the ends”: The alignment between OER and FOSS, May 2015.  a blog by Gurumurthy Kasinathan
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* '''Teaching using Geogebra in the classroom (student textbook and teacher handbook)'''
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Student textbook and  teacher  handbook for teaching Mathematics with Geogebra - can be used to start with any grade from 6 through 10
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#   [https://teacher-network.in/OER/index.php/ICT_student_textbook/Explore_maths_with_Geogebra_level_1 ICT student textbook/Explore maths with Geogebra level 1]
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#   [https://teacher-network.in/OER/index.php/ICT_student_textbook/Explore_maths_with_Geogebra_level_2 ICT student textbook/Explore maths with Geogebra level 2]
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#   [https://teacher-network.in/OER/index.php/ICT_student_textbook/Explore_maths_with_Geogebra_level_3 ICT student textbook/Explore maths with Geogebra level 3]
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#   [https://teacher-network.in/OER/index.php/ICT_teacher_handbook ICT Teacher handbook]
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IT for Change developed the student textbook and teacher handbook for the state of Telangana, India, with support from Commonwealth Educational Media Centre for Asia [https://www.cemca.org/ (CEMCA)], an associate of Commonwealth of Learning.
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* '''[http://oasis.col.org/bitstream/handle/11599/3655/Mishra_Panda_TEL_Policy_Pedagogy_Practice_2.pdf?sequence=4&isAllowed=y Developing institutional capacities for OER based e-learning]'''
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This article by Dr. Sanjaya Mishta explore how institutional capacity building can be a determinant for the effectiveness of OER based e-learning.
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* '''[http://oasis.col.org/bitstream/handle/11599/564/TechnologyTools_Teachers%5b1%5d%20Copy.pdf?sequence=1&isAllowed=y Technology tools for teachers]'''
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This handbook introduces teachers to the use of different technology tools available for teachers for creating lessons, in their teaching-learning as well as for their planning.  This is a COL publication.
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* '''Strands of Mathematics proficiency'''
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Page 116-124 from the book called "Strands of Mathematical Proficiency, Chapter 4
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* [https://books.google.co.in/books?hl=en&lr=&id=3-Gdmm0-2wAC&oi=fnd&pg=PP2&dq=constructionism+and+digital+tools&ots=TlII8ediuU&sig=DW-e81bEYYUt5eyTwKD9yyEF2kk#v=onepage&q=constructionism%20and%20digital%20tools&f=false '''Constructionism in practice''']
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This edited compendium comprises articles on theories of learning,  design thinking, and learning in communities.
Gurumurthy
RIESI, Administrators
3,664

edits

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