USING GEOGEBRA in TEACHER TRAINING

1
USING GEOGEBRA in TEACHER TRAINING

• Dr. Mustafa DOGAN,
• Dr. Erol KARAKIRIK

2
Introduction

• We would like to share our ideas by presenting
  some of our primary trainee mathematics teachers
  works with GeoGebra.

3

• Dynamic geometry is introduced to primary trainee
  mathematics teachers in many Turkish
  Universities as part of computer based maths
  education by mainly using Cabri and Sketchpad
  software packages.
• However, there was not a formal dynamic geometry
  course as part of the University curriculum for a
  long time. Hence, we started a special dynamic
  geometry course in Selcuk University, Faculty of
  Education, at Primary Mathematics Department in
  2006. Since then final year trainee teachers
  have been taking this course every academic year
  specifically to learn about dynamic geometry.

4

• At the beginning of the course trainee teachers
  are given some introductory lectures about
  dynamic geometry. We have employed GeoGebra in
  our course since it was free and easily
  available. These lectures also covered the basic
  features of GeoGebra software and provide
  explanatory samples. GeoGebra software was
  translated by us then to Turkish to be used in
  this course.
• Students were initially expected to work freely
  for two weeks with GeoGebra (using computer
  laboratory in the lectures hours) to construct
  their own works.

5

• It is observed that
• students could easily use the simple features of
  Turkish version of GeoGebra during the course.
• This course also offered them opportunities to
  explore the advanced features of GeoGebra with
  the help of the lecturer.

6

• Each students work usually consisted of at least
  10 different GeoGebra worksheets including both
  geometric and algebraic operations.
• Thus, more than 3000 GeoGebra worksheets samples
  have been constructed by around 600 trainee
  teachers for the last three years.
• Therefore, we have great opportunity to present
  some selected samples from the students original
  works and share and explore the ideas associated
  with the use of GeoGebra at the primary
  mathematics department.

7

• the students explorations and ideas about the
  use of GeoGebra at university and in teacher
  training.
• the potential applications of GeoGebra and the
  development of instructional resources in primary
  classes.

8
We will provide original worksheets of trainee
teachers. These worksheets may provide insights
about Turkish students

• main interests about dynamic geometry,
• successful use of GeoGebra,
• accuracy of construction,
• visualization
• exploration and discovery (either guided or
  completely open-ended),
• proof
• transformation and simulation.

9
The works also show some of Turkish students

• deficiencies,
• struggles,
• misunderstandings,
• misconceptions and misuse.

10

• We have manly used GeoGebra as a problem solving
  tool in our course. A few interesting examples
  are given below to exemplify the original
  students works such as a construction and
  visualization and its solution, a wrong solution,
  and a proof.

11
Problem 1 Find the area of a triangle inside a
prism.
12
Problem 2 Prove that tangents drawn to y24x
parabola from the Point A (-1, 5) that lies on
the line x1 are perpendicular to each other.
13
Problem 3 Find the area between functions
f(x)cos(2x1) and g(x)sin(2x1) in the interval
? , 2? .
14

• We have used GeoGebra worksheets to assess the
  students in our course. As part of the
  assessment, students were required to pinpoint
  the difficulties of GeoGebra software and make
  suggestions to improve it.
• Hence, we can also provide suggestions made by
  our students to introduce new features, tools and
  commands for GeoGebra.

15

• Thank You very much