Difference between revisions of "COL-TMT"

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[[Category:Courses]]
 
[[Category:Courses]]
 +
[[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  ==
−
Learners will:
+
Learners will able to:
 
# apply the principles of Free and Open Software and Open Educational Resources as well as their implications for equity
 
# apply the principles of Free and Open Software and Open Educational Resources as well as their implications for equity
 
# install Geogebra and get introduced to Geogebra for creating some  basic sketches
 
# install Geogebra and get introduced to Geogebra for creating some  basic sketches
Line 8: Line 9:
 
=== Installation of Geogebra ===
 
=== Installation of Geogebra ===
 
{{Youtube|YGyTxS_-FSM
 
{{Youtube|YGyTxS_-FSM
−
}}
+
}}Presentation slide:
 +
 
 +
[[:File:Installing Geogebra slides.odp|Installing Geogebra slides]]
  
 
=== Introduction to Geogebra ===
 
=== Introduction to Geogebra ===
 
{{Youtube|WQUsrXf2e2c
 
{{Youtube|WQUsrXf2e2c
−
}}
+
}}Geogebra File:
 +
 
 +
[[:File:Introduction to Geogebra - Angle Construction.ggb|Introduction to Geogebra- Angle construction.gbb]]
  
 
=== ICT and Education ===
 
=== ICT and Education ===
 
{{Youtube|8F5XGhDSVJY
 
{{Youtube|8F5XGhDSVJY
−
}}
+
}}Presentation slide:
 +
 
 +
[[:File:ICT and Education.odp|ICT and Education- slides]]
  
 
== Introduction to Geogebra ==
 
== Introduction to Geogebra ==
 +
Learners will able to:
 +
# get a working proficiency of the ''Geogebra'' application and all its functionalities;
 +
# 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
 +
}}Geogebra file:
 +
 +
[[: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 ===
 +
 +
==== Lines and Angles ====
 +
{{Youtube|06eNwePPVHg
 +
}}Geogebra files:
 +
 +
[[:File:1. Angles introduction.ggb|Angles introduction.ggb]]
 +
 +
[[:File:2.Introduction to a triangle 0.ggb|Introduction of a triangle.ggb]]
 +
 +
==== Exploring Similarity ====
 +
{{Youtube|KG-jIyjl2Mo
 +
}}Presentation slides:
 +
 +
[[:File:Use of Geogebra for teaching learning Similarity.odp|Use of Geogebra for teaching learning Similarity.odp]]
 +
 +
Geogebra files:
 +
 +
[[:File:Congruence Introduction on different shapes.ggb|Congruence introduction to different shapes.ggb]]
 +
 +
[[:File:Triangle Congruence.ggb|Triangle Congruence.ggb]]
 +
 +
[[:File:Demonstrating Proportionality.ggb|Demonstrating proportionality.ggb]]
 +
 +
[[:File:Exploring Similarity.ggb|Exploring Similarity.ggb]]
 +
 +
== Developing mathematical proficiencies of logical reasoning and problem-solving ==
 +
Learners will able to:
 +
# strengthen their working proficiency of the Geogebra application and all its functionalities, by creating more complex sketches;
 +
# create Geogebra sketches as teaching resources for theorems and problems;
 +
# access, and contribute to OER repositories of Geogebra.
 +
 +
=== Using Geogebra tools ===
 +
 +
==== Use of Slider and Input Box in Geogebra ====
 +
{{Youtube|RSOcFTFp7So|350|300
 +
}}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 ====
 +
{{Youtube|YFKNUPcNBoc
 +
}}Presentation slides:
 +
 +
[[: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 ===
 +
 +
==== Basic Proportionality Theorem ====
 +
{{Youtube|6dILgYdEU4c
 +
}}Presentation slide:
 +
 +
[[: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 ====
 +
{{Youtube|vApazM_j6BE
 +
}}Presentation slides:
 +
 +
[[:File:Exploring Geogebra for self learning.pdf|Exploring Geogebra for self learning.pdf]]
 +
 +
== Strengthening teaching-learning processes in classrooms ==
 +
Learners will be able to:
 +
# create lessons using Geogebra for teaching high-school mathematics;
 +
# evaluate multiple resources including Geogebra resources for the development of a lesson plan;
 +
# develop a sense of comfort and familiarity with transacting lessons using Geogebra in classrooms.
 +
 +
=== Use of Geogebra in teaching-learning ===
 +
 +
==== Lesson in Pythagoras theorem ====
 +
{{Youtube|Ek3YInvKVaM
 +
}}Presentation slides:
 +
 +
[[:File:A lesson in Pythagoras theorem.pdf|A lesson in Pythagoras theorem.pdf]]
 +
 +
Pythagoras theorem related Geogebra files:
 +
# [[: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]]
 +
# [[:File:Bhaskara's Dissection Proof Explained Algebraically.ggb|Bhaskara's Dissection Proof Explained Algebraically.ggb]]
 +
# [[:File:Pythagoras Theorem Logical proof.ggb|Pythagoras Theorem Logical proof.ggb]]
 +
 +
==== Lesson on Circles ====
 +
{{Youtube|D-YqdK4HY_U
 +
}}Presentation slides:
 +
 +
[[: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:
 +
# [[:File:Introduction to circles.ggb|Introduction to circles.ggb]]
 +
# [[:File:Introducing common measures in a circle.ggb]]
 +
# [[:File:Angles in a circle.ggb]]
 +
# [[:File:Dividing a circle into arcs and sectors.ggb]]
 +
# [[:File:Dividing a circle into arcs and sectors - to show ratios.ggb]]
 +
# [[:File:Introduction to secant and tangent.ggb]]
 +
# [[:File:Circle through 3 points.ggb]]
 +
# [[:File:Circle through 3 points proof.ggb]]
 +
# [[:File:Polygon tending to circle.ggb]]
 +
# [[:File:Tangent is perpendicular to radius.ggb]]
 +
# [[:File:Equal chords and distance from center.ggb]]
 +
# [[:File:Equidistantchords (alternate construction).ggb]]
 +
# [[:File:Chord length and perpendicular distance from centre.ggb]]
 +
# [[:File:Pependicular from center to chord divides the chord.ggb]]
 +
 +
=== Use of Construction Protocol ===
 +
 +
==== Parallelogram Construction ====
 +
{{Youtube|fKsnt8p_DKc
 +
}}[[:File:Parallelogram Construction.ggb|Parallelogram Construction.ggb]]
 +
 +
== Additional Videos ==
 +
Learners will be able to-
 +
# Explore advanced mathematical concepts through Geogebra
 +
# Understand and create resources on limits of a function and its application using Geogebra
 +
# Understand and create resources on derivative of a function using Geogebra
 +
# Explore the demonstration of 3D tools and create Geogebra files.
 +
 +
=== Limits and Derivatives ===
 +
'''Introduction to limits of a function'''
 +
 +
{{Youtube|mZ1xIUvrxrE
 +
}}
 +
 +
[[:File:Week 3- Introduction to Limits of a function.pdf|Click here]] for transcript of the video
 +
 +
Geogebra files on limits of a function :
 +
* [[:File:1. Slope of function -2x+1.ggb|Slope of the function 2x+1.ggb]]
 +
* [[: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]]
 +
'''Application of limits of a function- Derivatives'''
 +
 +
{{Youtube|ggkHdHVal8A
 
}}
 
}}
 +
 +
=== Explore 3D Geometry using Geogebra ===
 +
'''Introduction to 3D Geometry'''
 +
 +
{{Youtube|Cf_tq-zJhDc
 +
}}'''Finding Surface Area of the Right Prism'''
 +
 +
{{Youtube|6olldZ865rM
 +
}}
 +
 +
'''Finding Volume of the Right Prism'''
 +
 +
{{Youtube|i8dQ5n_jVPQ
 +
}}
 +
 +
== Downloading and uploading resources on OER Geogebra Repository ==
 +
Learners will be able to:
 +
# download and upload Geogebra resources from the Geogebra Repository
 +
Click this link for opening the Geogebra repository https://www.geogebra.org/
 +
 +
{{Youtube|ECFKjQXT6IE
 +
}}
 +
 +
Presentation slide:
 +
 +
[[: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''']
 +
* '''Installing Geogebra - website to download Geogebra from'''
 +
Installing on computer -  https://wiki.geogebra.org/en/Reference:GeoGebra_Installation#GeoGebra_Classic_5_for_Desktop
 +
 +
Installing on phone - https://www.geogebra.org/download
 +
* '''Geogebra hands-on activities checklist'''
 +
This document provides a sequenced list of activities for your hands-on practice of Geogebra.
 +
 +
Some of these have been covered in the lectures. Some you can try based on what we have covered in the lecture.
 +
 +
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]
 +
* [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''']
 +
 +
* '''There Are No Technology Shortcuts to Good Education'''
 +
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]
 +
* '''Open Educational Resources (OER) and Free and Open Source Software (FOSS) are aligned'''
 +
“The means are the ends”: The alignment between OER and FOSS, May 2015.  a blog by Gurumurthy Kasinathan
 +
* '''Teaching using Geogebra in the classroom (student textbook and teacher handbook)'''
 +
Student textbook and  teacher  handbook for teaching Mathematics with Geogebra - can be used to start with any grade from 6 through 10
 +
#   [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]
 +
#   [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]
 +
#   [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]
 +
#   [https://teacher-network.in/OER/index.php/ICT_teacher_handbook ICT Teacher handbook]
 +
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.
 +
* '''[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]'''
 +
This article by Dr. Sanjaya Mishta explore how institutional capacity building can be a determinant for the effectiveness of OER based e-learning.
 +
* '''[http://oasis.col.org/bitstream/handle/11599/564/TechnologyTools_Teachers%5b1%5d%20Copy.pdf?sequence=1&isAllowed=y Technology tools for teachers]'''
 +
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.
 +
* '''Strands of Mathematics proficiency'''
 +
Page 116-124 from the book called "Strands of Mathematical Proficiency, Chapter 4
 +
* [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''']
 +
This edited compendium comprises articles on theories of learning,  design thinking, and learning in communities.

Latest revision as of 10:39, 20 June 2022


Introduction to the course and overview of ICT tools and Open Educational Resources

Learners will able to:

  1. apply the principles of Free and Open Software and Open Educational Resources as well as their implications for equity
  2. install Geogebra and get introduced to Geogebra for creating some  basic sketches

Installation of Geogebra

Presentation slide:

Installing Geogebra slides

Introduction to Geogebra

Geogebra File:

Introduction to Geogebra- Angle construction.gbb

ICT and Education

Presentation slide:

ICT and Education- slides

Introduction to Geogebra

Learners will able to:

  1. get a working proficiency of the Geogebra application and all its functionalities;
  2. create Geogebra sketches as teaching resources for high-school maths concepts.

Creating text box and Input bar in Geogebra

Geogebra file:

Sum of Measures of Angles of a triangle using textbox and input bar.ggb

Use of Geogebra for teaching-learning

Lines and Angles

Geogebra files:

Angles introduction.ggb

Introduction of a triangle.ggb

Exploring Similarity

Presentation slides:

Use of Geogebra for teaching learning Similarity.odp

Geogebra files:

Congruence introduction to different shapes.ggb

Triangle Congruence.ggb

Demonstrating proportionality.ggb

Exploring Similarity.ggb

Developing mathematical proficiencies of logical reasoning and problem-solving

Learners will able to:

  1. strengthen their working proficiency of the Geogebra application and all its functionalities, by creating more complex sketches;
  2. create Geogebra sketches as teaching resources for theorems and problems;
  3. access, and contribute to OER repositories of Geogebra.

Using Geogebra tools

Use of Slider and Input Box in Geogebra

Presentation slides:

Use of sliders for animating Geogebra files.odp

Use of sliders for animating Geogebra files.pdf

Use of checkbox to create an interactive lesson

Presentation slides:

Use of checkboxes.odp

Use of checkboxes.pdf

Use of Geogebra in teaching-learning

Basic Proportionality Theorem

Presentation slide:

Use of Geogebra for teaching learning Basic Proportionality.pdf

Linear Equation and Simultaneous Linear Equation

Presentation slides:

Exploring Geogebra for self learning.pdf

Strengthening teaching-learning processes in classrooms

Learners will be able to:

  1. create lessons using Geogebra for teaching high-school mathematics;
  2. evaluate multiple resources including Geogebra resources for the development of a lesson plan;
  3. develop a sense of comfort and familiarity with transacting lessons using Geogebra in classrooms.

Use of Geogebra in teaching-learning

Lesson in Pythagoras theorem

Presentation slides:

A lesson in Pythagoras theorem.pdf

Pythagoras theorem related Geogebra files:

  1. Illustration with unit square.ggb
  2. Bhaskara's Dissection Proof Showing Dissection.ggb
  3. Bhaskara's Dissection Proof Explained Visually.ggb
  4. Bhaskara's Dissection Proof Explained Algebraically.ggb
  5. Pythagoras Theorem Logical proof.ggb

Lesson on Circles

Presentation slides:

Use of Geogebra for teaching learning - Circles.pdf

Use of Geogebra for teaching learning - Circles.odp

Geogebra files related to circles:

  1. Introduction to circles.ggb
  2. File:Introducing common measures in a circle.ggb
  3. File:Angles in a circle.ggb
  4. File:Dividing a circle into arcs and sectors.ggb
  5. File:Dividing a circle into arcs and sectors - to show ratios.ggb
  6. File:Introduction to secant and tangent.ggb
  7. File:Circle through 3 points.ggb
  8. File:Circle through 3 points proof.ggb
  9. File:Polygon tending to circle.ggb
  10. File:Tangent is perpendicular to radius.ggb
  11. File:Equal chords and distance from center.ggb
  12. File:Equidistantchords (alternate construction).ggb
  13. File:Chord length and perpendicular distance from centre.ggb
  14. File:Pependicular from center to chord divides the chord.ggb

Use of Construction Protocol

Parallelogram Construction

Parallelogram Construction.ggb

Additional Videos

Learners will be able to-

  1. Explore advanced mathematical concepts through Geogebra
  2. Understand and create resources on limits of a function and its application using Geogebra
  3. Understand and create resources on derivative of a function using Geogebra
  4. Explore the demonstration of 3D tools and create Geogebra files.

Limits and Derivatives

Introduction to limits of a function


Click here for transcript of the video

Geogebra files on limits of a function :

Application of limits of a function- Derivatives


Explore 3D Geometry using Geogebra

Introduction to 3D Geometry

Finding Surface Area of the Right Prism


Finding Volume of the Right Prism


Downloading and uploading resources on OER Geogebra Repository

Learners will be able to:

  1. download and upload Geogebra resources from the Geogebra Repository

Click this link for opening the Geogebra repository https://www.geogebra.org/


Presentation slide:

Geogebra - Creating your account on Geogebra OER repository and uploading and sharing your resources.pdf

Resources

Installing on computer -  https://wiki.geogebra.org/en/Reference:GeoGebra_Installation#GeoGebra_Classic_5_for_Desktop

Installing on phone - https://www.geogebra.org/download

  • Geogebra hands-on activities checklist

This document provides a sequenced list of activities for your hands-on practice of Geogebra.

Some of these have been covered in the lectures. Some you can try based on what we have covered in the lecture.

You can refer to the Learn_Geogebra user  manual for help and also to the online Geogebra manual

  • There Are No Technology Shortcuts to Good Education

Kentaro Toyama. 2011. There Are No Technology Shortcuts to Good Education

  • Open Educational Resources (OER) and Free and Open Source Software (FOSS) are aligned

“The means are the ends”: The alignment between OER and FOSS, May 2015.  a blog by Gurumurthy Kasinathan

  • Teaching using Geogebra in the classroom (student textbook and teacher handbook)

Student textbook and  teacher  handbook for teaching Mathematics with Geogebra - can be used to start with any grade from 6 through 10

  1.    ICT student textbook/Explore maths with Geogebra level 1
  2.    ICT student textbook/Explore maths with Geogebra level 2
  3.    ICT student textbook/Explore maths with Geogebra level 3
  4.    ICT Teacher handbook

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 (CEMCA), an associate of Commonwealth of Learning.

This article by Dr. Sanjaya Mishta explore how institutional capacity building can be a determinant for the effectiveness of OER based e-learning.

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.

  • Strands of Mathematics proficiency

Page 116-124 from the book called "Strands of Mathematical Proficiency, Chapter 4

This edited compendium comprises articles on theories of learning,  design thinking, and learning in communities.

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