Reflection on Attaining Session of Quadratic Equations

Numerical Theory
Framework

PART A
Reflection on attaining session of Quadratic equations
My class tutor decide to give us assignment which related with enhancing our teaching
skills. For this purpose she divided us in groups. And give us task to take session of teaching on
topic of mathematics. For taking secession of mathematics, I decided to choose Quadratic
equations.
My session was held on Friday. Have 4 days for preparation. When teacher given us this
task at that time I felt nervous as well as excited too, because I like to represent myself in front of
students or other persona however Maths is one of the subject I always have fear that how I can
pas in this subject, due to high level of numerical and difficulties theories I am also ways afraid
of completing task or assignment of Mathematics. However but this time it is essential to
participate in each session which taken by our class tutor.
Even though maths is a subject which I always afraid however Quadratic equations is
one of the topic which I like the most while I solve mathematics numericals. I was very nervous
before this session, I decide to give 6 to 7 hours to each day for learning all the essential thing
about the Quadratic equations. For this purpose I have decide to use my books as well as with the
use of various website and tutorial I have learnt all the essential information regarding Quadratic
equations. I also learnt from various You Tube video how session is taken in front of students
regarding Quadratic equations .
On the day of given session on Quadratic equations, I was very afraid , I took suggestion
from my class tutor and from my friends regarding how to give session in front of the whole
class, even though my communication skills are good still I felt nervous just because of the
subject of my presentation. The time when I am starting to give my teaching session,
firstly I introduced my self in front of whole class, I given them short introduction regarding
what the students learn from my class session as well as all the essential point on which I discuss
during the time of my session.
Even though I felt nervous but once I started given my lecturer in front of student, all my
nervous, goes away as I have read the whole topic with small details related with Quadratic
equations, thus I felt confident during the time of representing my session. Duriring ther time I

given students all the essential information regarding what Quadratic equations is and how it is
developed, as the term Quadratic equations is a Latin word which means square and is is use to
formulate standard form of equation. Which define as ax² + bx + c = 0, in which x is consider as
unknown variable which valued is find by using this calculation and value of a is not equal to
0, if it is taken as 0 then this equation is not consider as liner equation. I also given them all their
information regarding how numericals are solve as well as issue arises during the time of solving
numericals related with Quadratic equations.
The concept is too wider, thus during the time of my session I give all the essential
information to my students regarding all the models which I learnt and read out about Quadratic
equations. Mathematics is not easy subjects as it is hard to understand and their will be many
issue arise during the time of solving queries however internet help in clearing my doubts.
However at them time of ending of my session when student ask queries and put question cross
question related to Quadratic equations, for a second I felt nervous however I given my answer
with full of confidence and solve their queries I also not able to answer few question, but my
tutor at that time help me to giving answer to students regarding Quadratic equations.
My overall experiences was good, I have learnt so many things after compensation of my
group session related with teaching. AS it useful in build confidence and enhance my
communication skills. Due to this session my relation with my co- team mates as well as with my
class tutor get strong.
This session useful in overcome my fear related with mathematics as it will help in
boosting my motivation related with reading and understand concept of mathematics. My skills
of solving numerical is get enhance, however I face many issue I am not able to give answer few
questions which student ask, as my whole concept of Quadratic equations is not clear. I fail
difficulties during the time of finding solution of equations as well as I am not able to understand
how theses queries of students solve. Which impacted on the presenting of my overall session as
my confidence goes how at that time.
Even though I have face difficulties but my overall experience was too good as it useful
in clear my concept of maths and overcome my fear, which will useful for future teaching
session as next time I have clear all my doubts and focus on increasing my communication skills
as well as enhancing my mathematical numerical skills in order trot represent effective
presentation in front of the whole class.

PART B
Place value is defined as a position of a digit or integer which tells its assigned value,
which is significant in mathematical communication being a universal language. This system is
introduced in order to develop understanding in regard to number system and their meaning in
numeral value. These place value includes places like ones, tens, hundreds, thousands, ten
thousands and so on (Reinholz and Shah, 2018). It plays significant role to identify position of a
digit given in a sequence. There are various importance of place value system in historical as
well as current mathematical learning .
Varying use of historical development of place value system in mathematical concept is
considered as a debatable technique. In traditional times, mathematicians did ample of study
varying sizes of numbers which raised development of place value system. In current time,
students are not required to make number system but need to interpret its structure to understand
its sense and operations (Nataraj and Thomas, 2009). To investigate this technique, it has been
considered use of different combinations of historical development of large numbers and place
value number system in order to enhance student's understanding and knowledge related to place
value structure.
Historical development of decimal number system and relation with other numbering systems
Decimal numeral system also known as base-ten positional numeral system which is
considered as standard concept for denoting integer as well as non- integer numbers. It may also
referred specifically to numbers after decimal separator that is if π is extended in numeral value
then it extends up to two decimal places i.e. 3.14 in mathematics (Benjamin, 2017)
There are various numeral systems of ancient times which uses ten with its powers to
symbolize numbers as following concept that there are only ten fingers on hands and therefore
people continued to count with their fingers (Szkudlarek and Brannon, 2018). Examples of such
structures can be greek numerals, hebrew numerals, roman numerals, brahmi numerals and so
on. Large and complex numbers were not easy to represent in given ancient systems and only
best mathematicians were competent to divide these numbers.
This issue was resolved with introduction of hindu- arabic numeral system for
presentation of integer as well as non integer numbers( decimal digits). Also during Indus Valley