Notes on Success in Learning Mathematics - Based on Years of Talking to Successful Students  

 Since this is a college level course, the pace may at times feel fast and furious.  There is much ground to cover in a relatively short period of time.   Class time is meant to help establish a base to work from, rather than be where all details are covered.  There is a great deal of independent work required to be successful in this or any college course, and  part of the college experience is helping you become an active, independent learner.  The approach to this course may be significantly different from courses you have taken in the past, particularly if you are coming into the course directly from high school.  Much less time is spent on review and drill.  More time is spent on explaining, exploring and discussing the concepts, and modeling problem solving.  The review and drill component of the course is essential, but must occur mostly outside of the classroom.

The rule of thumb for success in any college course is that you should be spending at least 2 hours working outside of class for every hour in class. This translates into at least 6 hours of outside work for a 3-credit class, and 8 hours for a 4-credit class. Below, I have listed some  Simple Keys to Success as well as some more extensive "truisms" that will help you maximize your learning.

Simple Keys to Success

Other Truisms

GETTING TO KNOW OTHER STUDENTS IN CLASS CAN HAVE A  VERY POSITIVE IMPACT ON YOUR WORK

While it is essential to understand that learning material and making it your own requires significant individual work, you should also try to spend some time working with others. This gives you the opportunity to discuss ideas, utilize the terminology, see things from another perspective, and develop essential communication skills.  Mathematics is a language, and as such, you must both write and talk about it to fully master the material.  It is also vital to make connection with others who may be having the same frustrations, or who can help make things "click".   No matter what your experiences have been in the past, I assure you that there will be at least one other student in the class who can communicate about mathematics in a way that suits your own style. As you become more and more willing to open up and share ideas and thoughts, you will find that the material becomes more interesting and engaging. This helps make all the work this course takes seem worthwhile.

If you are out for any reason, it is your responsibility to find out about and make up any work that you miss. Having someone from class who you can call will be a big help in this regard. 

   DOING WELL IN MATH REQUIRES CONSISTENT EFFORT

 Please guard against spending a lot of time "spinning your wheels".   Instead create an effective system of marking areas of concern or confusion, and seek input as soon as possible.  Always realize that you should find that questions, and even some areas of confusion do occur regularly.  This is indicative of material at the appropriate level of challenge. If everything was easy, you would not be expanding those brain cells!

 

You may often find that if you leave the material alone for a while, insights or ideas may come to you. Your brain is amazing, and can often sift through material even if you are not consciously thinking about it.

 

 Because of demands from other courses and other commitments, it may be challenging to keep up with the work load all the time. However,  try to do some work regularly - even if that means just reading through and completing your notes, or filling in some description for an exercise done in class. It is best if you make sure you build in some time each day to at least attempt some of the practice exercises. Setting up a "Work Plan" for each day can help you start the semester off right for all of your courses. Keeping the material current in your mind will help you maximize what you learn during class time, and allows for the opportunity to have lots of little details "click" into place.

WHAT WORKED IN THE PAST MAY NEED TO BE EXPANDED AND TWEAKED NOW

   THERE ARE APPROACHES THAT HELP ENSURE SUCCESS!

     FINALLY........

Material created by J. Halsey - Updated Spring 2007 - This material should not be used without permission of  J. Halsey.

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