Amanda believes that when one understands the meaning of certain words both in their everyday context and in their mathematical context, it can make both subjects flow more seamlessly. “Creating a table of words that show their everyday meanings and their mathematical meanings right next to each other made me think more about how the words correlate in both subjects. It gave me a new tool to study when presented with word problems. Rather than avoiding math word problems at all costs and only studying exactly what I need to before an exam, maybe I need to spend more time studying the linguistics of the words so I have a better comprehension of what the words are presenting. By doing this, I hope to achieve the skill of being able to decode the problems and understand how to get the algebraic equations.”
For
Brian, the synergy between English and Math has obvious benefits: “I enjoy learning
new words every day. Bahare, however, is
not completely sold: “It’s a good idea as long as we are not tested for our
vocabulary!” For both Linda and Axel, “learning to increase our vocabulary in
Math class is important because it helps us understand word problems. It sure
makes math more understandable.” Athena is equally emphatic: “Vocabulary is
very important to express ourselves. One of my favorite books is the thesaurus.”
Desarae finds the connection “good, almost necessary. It helps you better
understand what we are learning. Knowing the vocab makes the concepts less
scary!” Lizeth goes so far as to say that “a weekly vocal quiz in our math
class would be a great idea!” It is an opinion shared by Kathy, who finds that
“sometimes a word has a different meaning in the context of algebra than in
regular usage, and you need to know the difference to solve word problems.”
Leslie says flat out that “if you don’t understand the words, you don’t
understand algebra!” As Dana sees it, “it is important to know what the words
mean in math. If I didn’t know the meaning of function or factoring, I wouldn’t
know how to solve the problems!” Alexander has a different angle: “Knowing
these words can honestly impress girls!” Alma finds that “math is useful
everywhere, in school, job, shopping etc. Knowing what the words mean and increasing
vocabulary can only help.” Nico feels that “learning new words and using them
properly can actually make you smarter.” But Eduardo will have none of it. “This
is a math class, not an English class!”
For Hess, the issue is more nuanced. “I am one of those people who have a hard time with word
problems. It’s not that I don’t understand what the terms mean, because I get
when it says a number increased by 6 is x+6 but somehow when it comes to
writing the equation I suddenly have short-term memory loss or something. Maybe
it is PTSD, Post Traumatic Solving Disorder! Whatever, I need to find a way to
overcome it. One way is to understand math words like “rational” and “radical”
in both their regular usage and in their math context. I think a lot of students understand the terms. It is not the
language barrier but more of a sentence structure issue. Also, like when you
learn Spanish, you may know all the terms but put the adjective before the noun
like you would in English, and the sentence becomes grammatically incorrect in
Spanish. It is the same thing in math: If you put the equation in the wrong
order, you may end up with the wrong answer.”
Alyssa knows from personal experience
that when there is an equation in front of her, she knows where to begin “but
as soon as it is surrounded by words I’m completely lost. The ironic part is that
English happens to be my strongest subject and Math my weakest. I do like the
idea of having a better understanding of terms and phrases and how they relate
to in Math and English. Looking at math and English phrases in depth will certainly
help me overcome my fear of math word problem. I think the two questions in a
word problem are always: ‘Where do I start’ and ‘How do I know what the
equation is asking?’ Word problems are tricky, because they ask a question at
the end but there are a lot more steps before you can solve it. Breaking them
down to certain key phrases is already helping me solve them with more
confidence."
Ashley learns best “when I can learn
something from two or three different approaches. Making the link, when I
hear, for example “reducing” or “reduce” at work place to fractions is really
helpful. If I can see a fraction in my head when I hear that word, I can
learn to practice the mathematical term “reducing” more and become better at it. I
also think some of the words in math are rather beautiful and if I could use
them in everyday language, I would sound more educated. ‘Exceeds’ is one
of those words. I use ‘difference’ a lot but not really thinking of math
directly, unless I am working on a word problem. Using words in daily
language that can be applied to math is turning out to be a very useful concept
for me.”
Brandon finds that a clear understanding of words in their math and regular usage context “helps me understand word problems and math itself a lot more. It definitely helps with learning everyday language. Not only are you learning more about the word itself but you are also learning how you can use it towards math and real life. For example, the word ‘rational’ is used in life to explain reason. When it comes to math, it means a ratio, either of numbers or polynomials. It is really amazing to me how math can be so connected to the English language in such a weird but helpful way. It helps me understand algebra a lot more and at the same time helps me learn the English language even better. I never realized how important it was to connect English and math together!”
Yannick agrees that “understanding meanings of words contributing to everyday and
math context will increase math skills, but I disagree it will help with
English skills. In every math textbook, there should a good handful of word
problems. But if you open up an English textbook, there might be a few math
problems, but not as detailed or as skilled as the problems in the math
textbooks. However, it may not apply to somebody whose first language is not
English. I feel this way because in math, there are sections and chapters in
the book, with each one building its way up to more skilled formulas and
methods, challenging individuals as they go through the book. When one has to
solve a problem from an English textbook, that person is already used to the
language and reading a simple sentence or a paragraph will not be an issue,
unless it is asking the person to apply the problem with numbers and formulas. We
are too used to speaking English every day. That’s why English texts are meant
for English and Math textbooks for Math. In my opinion, the only reason people
hate to solve word problems is not because the way it is worded, but rather the
way it is printed on the paper, which is much longer than the equation
problems.”
For Tyler, “learning the
meanings of the words that have context in both English and Math would greatly
improve the skills in both subjects. In Math, to know how to form a problem
would help in a few situations in the real world, say, trying to figure out how
much yarn you need to make a sweater. If you don’t know how to structure the
equation, then the problem becomes impossible to solve. However, in English,
one should constantly attempt to learn new, more complex words and various meanings
so that in the future you could describe a complex sentence or in this
instance, a mathematical problem. In my own accounts I use mathematical
vocabulary to figure out pay in my job to make sure I get the right pay. As a
referee I am paid different amounts depending on the games refereed. For
example, I am paid $20 for a regular 45 min game, but I am paid one-and-a-half time
more for a high school or junior high game. So if I work 20 regular games and 8
High school games then the expression should be: 20x + (20 x 1.5) y which becomes
20(20)+(20x1.5)(8). Since 1.5 times 20 is 30, so the equation ends up being
400+240=640. This is not my actual pay, but I wish it was! To form this
equation requires the knowledge of a mathematical equation structure, as well
as knowledge of how to form a proper English sentence with mathematical terms.
Thus I can honestly say that the knowledge of Mathematical vocabulary will help
students learn how to decrypt and solve word problems far easier than they
would before they knew what the words structuring the sentence mean!”
As an ESL
student, Pariya
is convinced that knowing and understanding English is critical to understanding
Math word problems. “My first language is Farsi. During the first days of
class, understanding word problems becomes very hard for me. I try to learn the
words that are the most useful in math as I came to appreciate the connection
between English and math. It helped me a lot and now I have less difficulty
with math word problems. Understanding such words also helped me to speak
English more fluently at work that I could before. An Architectural interior
designer and I deal with numbers and math problems most of the time at work,
for example, for calculating the occupancy of a building. Also, knowing and
understanding these words have helped me to think more logically.”
Jessica believes that “having
command of the English language is absolutely crucial to understanding any type
of math. Even though I have a strong understanding of the English language, as
I have been speaking it my entire life, I find that I still struggle with
understanding math word problems. Not being able to solve word problems is a
huge issue in the real world. Outside of the classroom, real life issues are not
presented in nicely laid-out equations for you to solve. In real-life
situations you’re presented with a number of variables that you are tasked to
put together to solve a problem. Though equations and formulas are helpful to
know, students should be able to solve real situations with real numbers. For
instance, when an anesthesiologist is tasked with administering anesthesia a
patient, they must take into account a number of different variables in order
to make sure that the patient is receiving the correct amount of medication. In
the classroom it is important to practice the concepts of math and understand
how to correctly solve problems but it is also critical that students
understand how to solve problems that are not completely spelled out for them.”
1 comment:
English Language has the maximum number of words than any other language. Every day many words are added in the dictionary.
Post a Comment