OPTIMATH
Online Practice and Testing in Mathematics
Procedures and information for using the online
testing system:
Using the online testing
system
Online testing and practice in this course is
done at a special web
site called OPTIMATH. You can complete homework assignments and practice
exercises from any computer you want, using most web browsers, as
well as check your scores and review your previous assignments. You
must take the proctored exams (if any) in the presence of
a designated proctor. Practice exercises
are especially useful for reviewing material for upcoming exams.
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Basic procedures:
The testing system is located
at http://msenux.redwoods.edu/optimath.
The first
page of the testing site contains a list of course
sections using the system. Click on the link for your section
(corresponding to your
course and instructor) to take you to your section login page. You also
may want
to bookmark this page on your browser.
Login
page: Your login name is just like the one that
you use for WebAdvisor and Blackboard: first initial + last name + last three digits
of your student ID#. For example, if your name is John Doe and
your student ID# is
1234567, then your login name is jdoe567. Your initial password is your full 7-digit student ID#, but you can (and
should) change it once you log in.
After you
log in, you have just five options (each of these
options is explained in more detail below):
- Choose Assignment to take online.
- View Assignment Results (includes your
answers, the correct answers, and solutions).
- Change password
- Email your instructor
- Log out
Important:
Do not use the "Back" and "Forward"
buttons on your browser when you are using the testing system. If you
do, you will
be immediately logged out of the system. Instead, use the links on each
page to move
around (there are really only five places to go, namely the options
listed above
( Choose Assignment, View Assignment Results, etc.).
Choose
Assignment:
- Click on the link for the assignment that you
want to take. A new assignment will be prepared for you (it might take
a few seconds), and then you will be presented with a second link for
your particular version of that assignment in pdf (Acrobat) form.
- Click on this second link to download the
assignment to your computer. If you have a dialup connection, it might
take about 30 seconds or so to download this pdf document. Assuming
that your Adobe
Reader software is correctly configured, the
assignment should open up inside your browser. If the document does
not open up in your browser, see the System Requirements section
below.
- Follow the instructions given in the
assignment.
- You must click on the Begin Assignment
button to start.
- Then proceed through the assignment, using
either the Back and Next buttons at the top of each
page, or the arrow buttons in Adobe Reader.
- Answer fill-in questions using the same
syntax that you would use on your calculator. If you're not sure of the
syntax to use, click on the Help with Math Syntax
link located under the answer box (or click
here to see the same help information).
- You must click on the End
Assignment button when you are done. This will grade your
assignment immediately, record your score, and return you to the the View
Assignment Results screen on the Optimath web site.
- Note to dialup
users: Make sure that you are
connected to the internet before you press the End Assignment
button! You can check your connection by opening up second window
or tab in your browser and then refreshing your home page.
- You will now be at the View
Assignment Results screen, where you can see your answers and
the correct answers, along with detailed solutions.
View
Assignment Results:
- Click on the link corresponding to the
previous assignment that you want to view. You will again receive a pdf
document that should open up within your browser. You will see your
answers, the correct answers, and solutions to each problem. This is
also a page length document that you can print if you wish.
Change
password:
- Click on this link to change your password to
something that will be easy to remember. If you ever forget your
password, you will need to contact your instructor.
Email
your instructor:
- This is a convenience link if you want to
email your instructor. For example, you might want to ask about a
particular question from one of the assignments. The link will open up
your default email program.
Log out:
- Please remember to log out from the system
when you are done.
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System requirements
The testing
system requires an internet browser along with
the Adobe® Reader®software. In
particular, it requires that your Adobe Reader
software be configured to open pdf files within your browser. That
is the usual
behavior after you install Adobe Reader, but it's
possible that you
may have changed
that behavior in the Adobe Reader preferences.
- Windows: Your best option is the
Firefox
3 browser with Adobe
Reader version 9.
- Firefox 2 or
Internet Explorer 6 or 7, with Adobe Reader version 6, 7, 8, or 9
will also work. If you have Windows XP, it is recommended that you
install Adobe
Reader 7, 8, or 9.
- Other browsers may or may not work.
- If your dialup or cable internet
services uses "web accelerator" technology, then it is recommended that
you use Firefox instead of Internet Explorer.
- Mac OS X: Safari browser, with Adobe
Reader version 8 or 9.
- This is the only configuration that
currently works in OS X.
- Linux: Firefox browser, with Adobe
Reader
- Other browsers may or may not work.
If pdf
files do not open up within your browser, first try
opening up Adobe Reader, look at
the Preferences, check off the
preference which
says "open within browser", and then check that preference back on
again.
Then test your setup again. If it still doesn't work, then you may need
to reinstall Adobe Reader. Make sure that
you install the browser plugin if the
installation
program asks you.
Finally,
you must also have Javascript enabled in Adobe Reader (this is the
default setting).
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OPTIMATH
Question Types
and Syntax
OPTIMATH has a number of different question types. While
some
questions are multiple choice, most of them are "free response" with an
answer box for you to type in your answer. For the most part, you can
enter your
answer in "calculator syntax", pretty much as you would on a graphing
calculator.
For more details, you should read the Math
Syntax page. This page is also accessible
to you during the tests (look for the link underneath each answer box).
Most of what
you need to know is mentioned on that page.
There are a few additional items that should be
emphasized:
- Remember to look under the answer box for
the description of the expected format of the answer. If you are
not sure of the correct syntax, click on the math
syntax link which is also
located under the answer box.
- Unless explicitly specified otherwise, all
questions take exact answers. If the answer is sqrt(2), then 1.41421 is not a correct answer, even if you type in 10 decimals.
- Be sure to include enough parentheses,
and put them in the correct places. OPTIMATH evaluates your answer
according to the usual rules of precedence in mathematics; operators of
equal precedence get evaluated left to right. The order of precedence
is (from highest to lowest):
- parentheses
- functions (like sin or sqrt)
- powers (^)
- multiplication and division
- addition and subtraction
For example:
- sqrt(2)*x: The sqrt
function has a higher precedence than multiplication; OPTIMATH sees
this as (sqrt(2))*x, not as sqrt(2*x).
- 4*2^3: the power has
a higher precedence than multiplication; OPTIMATH sees this as 4*(2^3) or 32, not as 8^3.
- 1/2/3/4: the divisions
have equal precedence, so they get evaluated left to right: 1 divided
by 2, then divided by 3, then divided by 4, or 1/24. If you want (1/2) divided by (3/4), put in parentheses, as (1/2)/(3/4)
- Spaces in your answer are ignored.
Thus, the answers 5*x+2,
5x+2,
and 5 x+ 2 would
all be graded in the same way.
- Equivalent expressions are graded the
same, in general. For example:
- 6/4
and 3/2
- 1/sqrt(2)
and sqrt(2)/2
- 3(x+4)
and 3x+12
However, there are some exceptions. If the
question expressly indicates that your answer must be simplified, then
you must enter the answer in a simplified form. A typical example would
be a factoring problem, such as factoring the expression x2-4.
In this case, you would have to enter either (x+2)(x-2) or (x-2)(x+2).
When you view your corrected
assignment, remember that the listed
correct answer is usually just one possible correct form of the answer.
In most cases, there are various forms of the answer that will be
graded as correct.
- Exact answers vs. approximations: All
answers must be exact, unless you are specifically requested to
give an
approximation. If you are asked to give an approximation, then your
answer must be accurate to at least the requested number of decimal
places after the decimal point. For example, you might be asked to
provide an answer that is "accurate to at least three decimal
places
after the decimal point". In this case, any answer within 0.001 of
the listed correct answer counts as correct. Thus, if the listed
correct answer is 1.41421356237, then responses such as 1.414
or 1.4142 or 1.415 would all be graded as correct.
- While we are on the subject of approximate
numerical answers: some word problems require you to find some intermediate
results first. Make sure you use enough decimals of accuracy for
those. If you round some intermediate value to two decimals, your final
answer will not be correct to three decimals. You should use at least
four or five decimals for the intermediate calculations, to be on the
safe side.
- When it comes to typing in equations
of curves, the basic rule is: your answer must be a single
equation which has the same graph as the given correct answer. So,
if the given answer is y=x+2, and you type
in y-x=2, that is correct. However, if the answer is x=y^2, and you type in y=sqrt(x), that is wrong. The reason is that the graph of x=y^2 is a parabola, but
the graph of y=sqrt(x) is the upper half of a parabola. You also
cannot combine equations (for example, an answer such as y=sqrt(x),y=-sqrt(x)
would be incorrect).
- Answers with units: You are probably used to
adding units (such as "meters" or "seconds") to the answers of
application problems. However, grading algorithms in OPTIMATH are not
designed to accept answers with units. Therefore, do not add units to any of your answers. In particular, do not add "degrees" or "radians" to any of your answers.
- Do not use mixed numbers - they will be graded as incorrect. Use
fractions instead.
- If you are ever unsure why OPTIMATH graded
your answer as incorrect, be sure to contact your instructor in person
or by email. Your instructor can look at your answer and the listed
correct answer, and then provide you with an explanation.
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Other hints and information:
- Which browser? You will need access to a computer with an internet
connection and one of the supported
operating system / web browser / Adobe Reader combinations. Alternatively,
you can of course use computers
at CR if you don't have your own computer and you come to CR frequently.
- Grading: Be sure to always grade your assignments. Your online assignment is not complete until you have
finished the grading process. If you leave an assignment ungraded, then
a score of 0 is recorded.
- Security: Be sure to log out of
OPTIMATH or quit your browser when you are done working within the
testing system. Otherwise, you will remain "logged in" to the testing
system, and the next person to use the computer can assume your
identity.
- Protecting your answers from system errors:
As with all computer applications, occasionally problems may occur. For
example, your computer or browser may freeze up and you may be forced
to restart your system. In that case, you will need to start the
assignment over. It's important to realize that while you are working
on an OPTIMATH assignment, the assignment is actually located on your
computer - your results are not saved until you finish the assignment.
Thus, you should take precautions to preserve your answers, as follows:
- To guard against losing answers in event of a system problem,
be sure to carefully write down your answers on your scratch paper.
When you go back into OPTIMATH, you will see a message stating that you
have an "active" assignment that you may restart. In this case,
OPTIMATH will retrieve the exact same version of the assignment that
you were working on, but all of the answers will be blank. You can then
retype your answers into the assignment.
- Remember to stay within the assignment window while working
on the assignment. Don't use the Back or Forward buttons on your
browser. Also, only use single-clicks with the mouse on buttons and
links, not double-clicks.
- If a computer malfunction ultimately causes you to miss a
problem, please contact your instructor right away. You may just have
to take the assignment again, but at least your instructor can give you
a deadline extension in this case.
- Technical problems: If the testing
system doesn't seem to work correctly for you, be sure to consult your
instructor.