INTRODUCTION
In this action research study of
my VIII standard students of GHSS Amaravathy of mathematics, I investigated
word problems. I discovered that
my students did not like to try word problems because they did
not understand what was being
asked of them. I also discovered
that knowing how to decode a word
problem is only one facet of being a successful problem
solver. I also discovered that
confidence, effective instruction, and practice have an impact on
improving problem solving skills.
My students also saw no reason for solving word
problems or in having the ability
to solve them. I used word problems that covered topics that
were familiar to the students and
that covered the skills necessary at the viii standard level. I
wanted to deepen their
understanding of math and its importance. By having my students journal
to me about the steps that they
had taken along the way to solve the word problem I was able to
see where confusion occurred.
Consequently I was able to help clarify where my students made
mistakes. Also, through writing
down the steps taken, students did see more clearly where their
errors took place. Each time that
my students wrote their explanations to the steps that they used
in solving the word problems they
did solved them more easily. As I observed my students they
took more time in writing their
explanations and did not look at it as such a difficult task
anymore.
Our school is located in a rural
setting, and the building that we are in is 25 years old.
Most of the people in our
community come from homes where both parents work in estates. Our school is comprised of LP,UP,HS and
HSS. This year each level had approximately 1000 students in it
The topic of my inquiry was mathematical
word problems. I chose this topic because I
noticed that my students would
either skip word problems or put little effort into solving them.
When I would mention that we were
going to solve word problems in math class, they would
groan as if I had asked them to
eat their vegetables. This was bothersome to me because I
enjoyed solving word problems as
a child, and I felt such satisfaction when I did so. This skill of
problem solving has been a very
valuable skill over the years, and I want my students to leave
VIII standard with this skill and
the confidence to solve word problems or real problems that they
encounter in life. If my students
could feel this sense of accomplishment when solving word
problems it would be wonderful.
I began my inquiry as to why
these students did not care for word problems or did not try
to solve them. Most of the
comments had to do with the fact that they found the word problems
confusing and they were not sure
what they were being asked to solve. They did not have the
skills to pull out information
that was not necessary. My students also had a preconceived
that they would need to solve in
the future. The word problems that were part of our math series
dealt with topics that many of my
students knew nothing about. My students gave me many
topics that they felt would
interest them and make them more willing to solve the word problem.
The materials available with our
textbook were limited on word
problems. Many of the topics used
in the word problems were not interesting to VIII standard. When the students
saw the word challenge in front of a problem they immediately felt defeated. I
will have to supplement our district material with my own word problems and
worksheets.
Problem
Statement
The issue of teaching that I
considered for my research was the issue of word problems and students’ lack of
enthusiasm in solving word problems. My question was if the students were
taught a step-by -step method of solving word problems, would this increase
their expertise and
enthusiasm? Before my research,
in my classroom the minute the students saw a story problem on a worksheet or
in their book, they would run right up and ask for help before they even had
looked at the problem carefully. Many times they just wrote some answer down so
that they could say that their homework was finished. The next day when we
corrected the assignment and talked about the problems my students rarely asked
how to solve the word problem. When we discussed the steps to solve a word
problem the students did not seem very interested at all. I explained to word
problem. I want them to see how much fun word problems
can be and how they will help
them to better understand the math concepts that they have been
taught up to this point.
Through my research I
hope to find ways to help my students see the importance and
the fun of solving word problems
and real-life problems. I hope to show them some tools that
will help them solve problems.
Actually if things go well, my
students would be the
ones that could share with others
how to successfully solve word problems. My hope is that they
will in turn share this with others out in the community.
Literature
Review
Word problems can be such a
valuable learning tool once one is able to get away from
the stigma that the term “word
problem” brings with it. The topic of my project was to make
sense of word problems. When my
students feel good about themselves and the fact that they
have learned a new math skill
through the use of word problems, I will have met my goal. In
reading research related to this
topic, four basic themes appeared. First and foremost, the concept
that teachers needed to change
the way that they taught word problems; sometimes this could be
as simple as changing the
structure of the word problems themselves. Second, students should be
encouraged to draw pictures and
doodle as they solved the problem. Third, making a connection
of the word problems to the
children’s lives made the learning more meaningful and lasting for
them. Fourth, the students should
be tested before the skill was taught and after learning the skill
to see how the teaching affected
the learning of the students.
Changing the
Teaching Strategies
In reading research about word
problems and how they were taught, all of the articles that
I read made some mention of the
fact that the approach that teachers have taken in the past for
teaching this skill needed to
change. Okoka (2004) had four steps to successfully teach word
problems and have them make sense
to the students. The steps were very simple but effective.
First, use cooperative groups
when solving the word problems. Second, allow students enough
time to act out and work out
problem solutions. Third, encourage students to reflect on the
reasonableness of their answers.
Fourth, accept alternative solutions.
The teacher’s opinion of word
problems and their usefulness in teaching mathematics
played a huge role in the success
of the students. Many teachers felt that math word problems
were much more difficult to solve
than a regular equation-type math problem .
As a teacher, in my past
instruction, I used word problems as extra credit or challenge
problems, and I did not use such
problems to their fullest potential. I now use word problems in
all stages of teaching,
reinforcing, and testing a new skill. My students are coming up with their
own word problems to help one
another study for quizzes or exams.
Many times the kids would choose
not to even try
them or they would just jot some
answer down. What was even worse was they did not even
make the connection that they are
to use the skill previously learned as an equation to solve the
word problems.
Connecting the Word Problems to Real World
Situations
Connecting a child’s classroom
learning to real-life situations is a great teaching strategy
but it is especially helpful in
the teaching of math skills and word problems. If teachers can
connect a math word problem to
something that the student uses in their lives then it takes on a
whole new importance to the
students. Of the nine articles that I read on word problems, six of
them mentioned that making this
real-life connection was vital to the children understanding the
math concept as well as being
able to perform the skill.
Student Solutions
Students should be able to
represent their solutions in a number of ways to help them
express their understanding of a
skill or concept. I stressed to my students that I wanted to see
the method that they used to
solve a problem so that if there was an error I could help them.
Better yet I wanted to see their
solution, so that the other students, or I, could see another way of
Purpose
Statement
The purpose of my study was to
determine what happened when a systematic way of
solving word problems and using
formative assessment to assist in the student understanding of
the math skills used in the word
problems was implemented. The controlled variables in my
project were the word problems
that I provided for my students as part of their homework. I also
provided the word problems that
were used in their journals. My measured variables in this
project were the pre- and
post-test results and the pre- and post-survey results.
The questions guiding this
research are:
• What will happen
to the students’ abilities to successfully solve word problems when the
students are taught the language
of word problems and how to interpret it?
• What will happen
to the students’ understanding of word problems when the students are taught
math vocabulary and ways to express what these words mean? (such as pictures,
graphs, charts, tables, number sentences and equations)
• What will happen
to the way that I teach word problems after I observe the way that my students
explain the word problem-solving process in their journals?
Methods
I conducted
a test to identify the difficulties of students in solving word problems.
I also
collected data from personal interview.
Findings
The first research question I
investigated was: What will happen to the students’ abilities
to successfully solve word
problems when the students are taught the language of word problems
and how to interpret it? My
students were able to solve more word problems correctly after they
had been taught the appropriate
vocabulary. To start out my project, I had interviewed and
surveyed my students.
Implications
I was so pleased with the outcome
of my project and the tremendous growth that I
witnessed in my students that I
will be using journals in all of my classes next year. I have
decided that on the first day of
a lesson, I will spend a great deal of time teaching the concept
and watching my students practice
it. Then, I will give them one problem to solve in their journal
and explain each step. This will
allow me the opportunity to check for any misconceptions they
may have. I think that this will
be easier to correct than if I allow them to go home and do 20
problems the wrong way and then
try to undo it the next day. It was wonderful to have the
students explain their work to me
and their steps. It is so empowering to me as a teacher. It will
take more time because of all of
the reading but in the long run the amount of time taken to re teach a skill
should be reduced. I also will be developing a series of word problems to cover
all
of the sixth and seventh grade
standards that deal with topics that the students are interested in. I
hope that this will help to
change their opinions of word problems and help them to see a true
practical use for the math that
they are learning in class.
Conclusion
In the research that I read, I
was very excited to see that there seemed to be a common
thread. The fact that teachers
needed to change the way in which they taught and presented math
word problems made me analyze the
way in which I taught. I had been guilty of using word
problems as challenge assignments
or making them extra credit. Now I look at word problems as
a wonderful way to teach each
math skill my students and I are responsible for. I have always
been a teacher who would accept
more than one way to do something; so, when I read this over and over again in
the literature, it just reinforced this aspect of my teaching philosophy. I
have
not always been very good about
connecting my students’ learning to their real world or to their
interests. This is an aspect of
my teaching that I am currently working on to improve so that my
students can claim more ownership
to their learning. Not all of the articles that I read had this as
a main point, but it was brought
up enough that I felt that it was important to my research. I
currently do pre and post-testing
as I mentioned earlier so this was another aspect of my teaching
that has been reinforced by the
research that I have done.
My project is different from the
research that I have read about because it concentrates on
VIII standard math students only.
the research about education is very good its 'very inspiration . thanks a lot .Best International Schools In Bangalore
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