Question

In: Advanced Math

Explain how technology can be used to address one specific misconception in secondary-level geometry. (When thinking...

Explain how technology can be used to address one specific misconception in secondary-level geometry. (When thinking of a misconception, you want to mention something specific within a geometry course where a student may make an error).

Solutions

Expert Solution

here we will discuss about the weaknesses of secondary school students at geometry questions of measures, angles and shapes, transformations and construction and 3-D shapes.

secondary school students have a number of misconceptions, lack of background
knowledge, reasoning and basic operation mistakes at the topics mentioned above of geometry .

students were sometimes inconsistent with the accepted
mathematical and scientific concepts.

from The Van Hiele model (1986) the first three levels in the model are as follows:

  1. the Visualization level (Level 1 or level of recognition) in which students recognize and learn to name certain geometric shapes but are usually only aware of shapes not properties or components;
  2. The Analysis level (Level 2, descriptive) students can recognize shapes by their properties.
  3. The Abstraction level (Level 3, or relational), students begin to form definitions of shapes based on their common properties, and to understand some proof

students have misconceptions about
geometry problem , it generally involves oral
presentation of a formal proof and body movements pointing at different parts of the figure of the
problem.Students' prior learning sometimes arises misconceptions either in the classroom or from their interaction with the social and physical world.

they can be corrected by challenging or
contrasting it with the right conception.

THE IMPORTANCE OF TECHNOLOGY IN A GEOMETRY CLASS:
Technology enables both students and teachers to access wide range of tools to use in mathematics.

The data collected from student interviews During the interviews and analyzed .and it is
found that students are satisfied with the method used however teachers can use computers and give more
focus on drawings.

for example :-

general mistake made is Lack of assimilation of the angles
in parallel lines such as alternate
and corresponding angles

its possible reason is Ignore the importance of
angles in parallel lines

and the suggestion is to use technology i.e.The importance of looking at
the angles should be emphasized
more in the classroom
-Colourful images can be used
to show alternate and
corresponding angles.

conclusion-

. In mathematics, teaching should be done in
using visual aids. It was found out that students couldn't understand and evaluate mathematics, visual
materials and methods which aim at students' five senses should be used to improve understanding . To
succeed in geometry learning, it is very important to define objects .Students get
confused at recognizing the shapes due to human perception. so
the teacher should first make students recognize the shapes .The teacher should continuously remind students that rotation of an object does not change its shape

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