UNIVERSITY OF
CALCUTTA
B.ED PRACTICUM
SESSION 2017-19
SEMESTER-IV
COURSE: 1.4 EPC-3-CRITICAL
UNDERSTANDING OF ICT
Topic: Projects that may involve the hardware like LCD
Projector, digital camera, camcorder, Printer,
interactive white board and software like MS Word,
spread sheet and Slide Presentation : (PPT/impress); and
or creating and using Blogs and Google Groups,
Google Docs.
VINODKUMARSINGH
Reg.No: 013711 of 2004-2005
UniversityRoll No:
KO8/EDS/170046
1. Perpendicular Bisectors
2. Angle Bisectors
3. Medians of a Triangle
• In this lesson we will define what a point of concurrency is.
• Then we will look at 3 points of concurrency in triangles and
their corresponding proofs.
• You will need to be able to define the 4 points of
concurrency and identify them in a picture. You will also
• Use the definition to identify relationships between
segments and angles to solve problems.
Theorems on Concurrency
When two lines intersect at one point, we say that the lines
are intersecting. The point at which they intersect is
the point of intersection.
Well, if three or more lines intersect, we say that the lines
are concurrent. The point at which these lines intersect
is called the point of concurrency.
POINTS OF CONCURRENCY
Perpendicular Bisectors
• The perpendicular bisectors of the sides of a triangle are
concurrent at a point equidistant from the vertices.
• This point of concurrency has a special name.
It is known as the circumcenter of a triangle.
The diagram has been
drawn with the help of
GeoGebra
• The video will be played which describes the concept of
perpendicular bisectors in relation to a triangle.
• Following this an activity based on paper folding will be
carried out to verify the theorem.
For the proof I will be using the webpage of University of Georgia,
necessary explanations will be given if required.
Angle Bisectors
• The bisectors of the angles of a triangle are
concurrent at a point equidistant from the sides
• This point of concurrency has a special name,
it is known as the incentre of a triangle.
The diagram has been
drawn with the help of
GeoGebra Incentre is
equidistant from the
sides of the triangle,
and gets its name
from the fact that it
is the center of the
circle that is
inscribed within the
circle.
Before the mathematical proof an
activity will be carried out for which
different triangles will be printed on a
paper with the help of a printer and
will be given to students.
Following this the instruction for paper
folding will be given which will be
carried out by the students.
For the proof I will be using the webpage of University of
Georgia, necessary explanations will be given if required.
Medians of a Triangle
Median: A median of a triangle is the segment That
connects a vertex to the midpoint of the opposite side.
This point of concurrency of the medians is another
center of a triangle. It is known as the Centroid.
The diagram has been
drawn with the help of
GeoGebra
Before the mathematical proof an activity will be carried out for which
different triangles will be printed on a paper with the help of a printer and
will be given to students.
Following this the instruction for paper folding will be given which will be
carried out by the students.
For the proof I will be using the webpage of University of Georgia, necessary
explanations will be given if required.
This Centroid is also the Center of Gravity of a
triangle/geometrical figure which means it is the point
where a triangular shape will
balance.
PROBLEMS
For exercise of the above discussed topics visit the
Google Group EPC3.
Students are required to submit the solutions either to
the group (online process) or they can submit it at the
school.
For any queries post a thread in the group.
Following hardware and software were used to
create this project
• Printer
• MS Power Point
• MS Word
• Geogebra (used as application for mathematical
drawing)
• Google Groups
• Gmail
CONCLUSION
Information and Communication Technology (ICT) in education is
the mode of education that use information and
communications technology to support, enhance, and optimise
the delivery of information.
Worldwide research has shown that ICT can lead to an improved
student learning and better teaching methods. A report made
by the leading institute, proved that an increase in the use of ICT
in education with integrating technology to the curriculum has a
significant and positive impact on students’ achievements.
I hope to implement ICT in my own teaching methods to benefit
the students and to also bring them closer to new technologies.

Learning Design based on ICT

  • 1.
    UNIVERSITY OF CALCUTTA B.ED PRACTICUM SESSION2017-19 SEMESTER-IV COURSE: 1.4 EPC-3-CRITICAL UNDERSTANDING OF ICT Topic: Projects that may involve the hardware like LCD Projector, digital camera, camcorder, Printer, interactive white board and software like MS Word, spread sheet and Slide Presentation : (PPT/impress); and or creating and using Blogs and Google Groups, Google Docs. VINODKUMARSINGH Reg.No: 013711 of 2004-2005 UniversityRoll No: KO8/EDS/170046
  • 2.
    1. Perpendicular Bisectors 2.Angle Bisectors 3. Medians of a Triangle • In this lesson we will define what a point of concurrency is. • Then we will look at 3 points of concurrency in triangles and their corresponding proofs. • You will need to be able to define the 4 points of concurrency and identify them in a picture. You will also • Use the definition to identify relationships between segments and angles to solve problems. Theorems on Concurrency
  • 3.
    When two linesintersect at one point, we say that the lines are intersecting. The point at which they intersect is the point of intersection. Well, if three or more lines intersect, we say that the lines are concurrent. The point at which these lines intersect is called the point of concurrency. POINTS OF CONCURRENCY
  • 4.
    Perpendicular Bisectors • Theperpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the vertices. • This point of concurrency has a special name. It is known as the circumcenter of a triangle. The diagram has been drawn with the help of GeoGebra
  • 5.
    • The videowill be played which describes the concept of perpendicular bisectors in relation to a triangle. • Following this an activity based on paper folding will be carried out to verify the theorem. For the proof I will be using the webpage of University of Georgia, necessary explanations will be given if required.
  • 6.
    Angle Bisectors • Thebisectors of the angles of a triangle are concurrent at a point equidistant from the sides • This point of concurrency has a special name, it is known as the incentre of a triangle. The diagram has been drawn with the help of GeoGebra Incentre is equidistant from the sides of the triangle, and gets its name from the fact that it is the center of the circle that is inscribed within the circle.
  • 7.
    Before the mathematicalproof an activity will be carried out for which different triangles will be printed on a paper with the help of a printer and will be given to students. Following this the instruction for paper folding will be given which will be carried out by the students. For the proof I will be using the webpage of University of Georgia, necessary explanations will be given if required.
  • 8.
    Medians of aTriangle Median: A median of a triangle is the segment That connects a vertex to the midpoint of the opposite side. This point of concurrency of the medians is another center of a triangle. It is known as the Centroid. The diagram has been drawn with the help of GeoGebra
  • 9.
    Before the mathematicalproof an activity will be carried out for which different triangles will be printed on a paper with the help of a printer and will be given to students. Following this the instruction for paper folding will be given which will be carried out by the students. For the proof I will be using the webpage of University of Georgia, necessary explanations will be given if required. This Centroid is also the Center of Gravity of a triangle/geometrical figure which means it is the point where a triangular shape will balance.
  • 10.
    PROBLEMS For exercise ofthe above discussed topics visit the Google Group EPC3. Students are required to submit the solutions either to the group (online process) or they can submit it at the school. For any queries post a thread in the group.
  • 11.
    Following hardware andsoftware were used to create this project • Printer • MS Power Point • MS Word • Geogebra (used as application for mathematical drawing) • Google Groups • Gmail
  • 12.
    CONCLUSION Information and CommunicationTechnology (ICT) in education is the mode of education that use information and communications technology to support, enhance, and optimise the delivery of information. Worldwide research has shown that ICT can lead to an improved student learning and better teaching methods. A report made by the leading institute, proved that an increase in the use of ICT in education with integrating technology to the curriculum has a significant and positive impact on students’ achievements. I hope to implement ICT in my own teaching methods to benefit the students and to also bring them closer to new technologies.