ORGANIZE YOUR RESOURCES (CALCULUS)

Since this is my first year focusing on the Calculus curriculum, final exam time is the perfect opportunity for me to refresh my own study skills. For those who struggle with preparation for the cumulative exam each semester, perhaps seeing how someone else studies could give you some ideas of your own.

My situation is slightly different than the students’. I have 4 Calculus students in 3 different schools, 4 different teachers, and 3 different textbooks (one of which is a newer version of another with many of the same problems, some new ones, and all on different pages!). The organization needed to remember where each student was in the various schedules and what homework I had completed in preparation for tutorials for whom got the better of me and was in need of serious revamping even before I began over Winter Break to study for finals. At that time, I collected all homework and piled up assignments by student, then within each student’s pile, I put things in chronological order.

Some teachers had flitted around the text, while others had followed the order given in the book, so when one student was working on Inverse Trig differentiation, another was working on Related Rates. My solution for organizing was to make 4 lines of work (one for each student), assembled by TOPIC. And that gave me the idea to make my own workbook with notes relating to topic and separated with tabs so I could access my backup materials as needed.

MY TIP TO YOU
You already know I expect you to keep all class notes, homework assignments, tests and quizzes (from the first day of the semester until the day you retire to a nursing home). If you’ve been following my suggestions, this material is already organized by chapter or unit according to the chronological order established by your teacher.

That’s a lot of paper and probably difficult to use as reference. I suggest you acquire either the “Stickies index tabs” (mine are the Staples brand but I think 3M has a version also) or actual binder tab sheets. Mark the tabs according to the topics you’ve studied and separate your work by topic. When you come across a final review question that relates to the Mean Value Theorem, for example, you can easily find your past work on that subject.

Here’s a list of the topics in my newly organized, personal reference binder:

FUNCTIONS
LIMITS

RULES OF DIFFERENTIATION (this is my universal sheet with all of the examples including derivatives of Trig functions, e, and all that sum, difference, quotient, chain rule stuff in one location. Not every text provides the handy list on the book cover, so I have my own to use as reference if I forget a rule or just want to verify my work.)

VELOCITY/ACCELERATION
EXTREMA
MEAN VALUE THEOREM
F’’
OPTIMIZATION
NEWTON’S METHOD
IMPLICIT DIFFERENTIATION
RELATED RATES (by far the most voluminous section complete with examples from the internet. I defy any teacher to find a problem I have not researched and copied the algorithm for solution.)

Finals are fast approaching. You may already have your Final Review Packet. I’m thankful to have the organizing completed before trying to work on 4 entirely different sets of problems from 4 uniquely disparate teachers!! Your study plan will surely be less complicated than mine, so take heart in knowing that STUDYING SMARTER, NOT JUST HARDER has many positive rewards.

FIRST DAY OF CLASS: COLLECT CONTACT INFORMATION FROM OTHER STUDENTS

There are many of reasons to have a list of students in each of your classes. If you’re a social learner or someone who needs to hear the ideas of others in order to stimulate analysis of data, you will want to create a study group before a large test. If you miss a class, you’ll know who to call to find out the assignment. If you forget your textbook, you’ll have options for borrowing one for the evening.

Whatever the possible reasons, you will want to have a good list of students in each of your classes, including phone numbers and maybe email addresses. Start collecting this valuable information on the first day of class. You’ll probably know some of the students already, so be sure to find out contact information. Continue collecting names for about a week. That gives you time to identify the really good students who can provide academic help if you need it.

Five or six contact names will be a valuable asset later in the semester.

FINALS -- ACT -- SUMMER!

Counting down the days 'til summer? Me, too! But there are steps to take before we can enjoy the weather and activities that vacation promises.

To keep up your energy for finals, try a few mind-tricks:

1. Look at your current classroom grades and calculate what final exam scores you need to maintain your average. Post your goals in a conspicuous place like your bedroom door. It will be a gentle reminder when you'd rather be doing anything other than studying.

2. You may have Final Exam Study Guides for most of your classes. Plan rewards for completing the work pages -- maybe EVERY page. Even simple, silly things like stickers affixed to each finished page can be motivational. Or take a longer view and plan an outing with friends when a whole packet is completed. Ask your folks to have a special dinner as a reward for good study habits. Pick rewards that have meaning for you and which will celebrate your accomplishments.

3. On the serious side, if the classroom teacher or tutor hasn't assigned a completion rate for the Study Guide, make one yourself. I generally go through the packet once to answer the questions that I can without thinking too hard. This helps to increase my confidence and is motivating when most of the packet can be finished quickly.

The second run through is for the more complicated questions that I need to think about. The third pass is for questions I need to research a little by reviewing class notes, old homework assignments, the textbook and previous tests. These two steps are intended to refresh my knowledge and fill in any gaps from earlier in the semester.

The fourth time through is intended to maintain improvements by answering questions that I got wrong in the first place. This is the REAL study and should be completed at least 2 days before the final.

4. If you have a tutor or study partner, plan to meet after you've finished the study guide. Ask the burning questions that you haven't been able to remedy on your own. Don't be shy about asking for validation from your support system -- friends, family, tutor and YOURSELF.

5. Prepare a "quick guide" with the most vital information. Make it small, maybe bookmark size or pocket size. I've laminated several in preparation for future classes when foundational information may be helpful. Math concepts and grammar rules can be useful in college and even in preparing for the PSAT, ACT or SAT.

6. GET ADEQUATE REST! This is a stressful time for everyone. Those with test anxiety may be feeling the pinch, and those with test compulsion will never feel fully prepared. In either case, take the evening before a test to relax and dump the angst. Right before going to sleep, take out the "quick study guide" and reassure yourself that you are prepared for the next day's test.

7. Take time out after the day's tests are over. Lunch with friends or a special computer game are good, short recovery activities. If there are more tests the next day, study during the afternoon and go back to Tip #6.

8. If you find that studying for final exams is overwhelming, resolve to take this tutor's advice next semester: Begin preparing for finals on the first day of the semester! Keep following this blog for ideas to help you get off to a rousing start when school resumes in the Fall. By December, you'll be glad you did!

GOOD LUCK! MAKE ME PROUD!!

STAYING MOTIVATED TO STUDY

Originally I intended this post to be centered around the ACT and maintaining the momentum for continued study. But it's final exam time and I'm finding many students who have the same problem that I had in school. By this point in the semester, I was feeling like I had learned enough and wanted desperately to start summer vacation as early as possible -- maybe even during history class tomorrow!!

Final exams are vital, however, for keeping a high semester grade or raising a mediocre one. So let's explore some ways to bolster the energy to prepare for the possibly-most-important test of the entire year.

1. SUCCESS is the greatest motivator known. Start the study plan with a baseline measurement of your abilities. It might be results of previous tests, the first pass through the Final Exam Study Guide, or the review questions at the end of each chapter covered.

Assess progress frequently and remind yourself that you are striving for consistent, incremental improvement. You don't expect or even WANT immediate perfection because it will be difficult to sustain over the next 2 weeks.

Keep track of improvements by setting up a chart of results.

2. Success will motivate only when it is recognized. Set reasonable benchmark goals. Plan celebrations for reaching these targets. Enlist the assistance of others around you like parents or teachers who are genuinely interested in your improvement. High fives, a special dessert, a start on the progress chart, or a test hung on the refrigerator are ocmmon forms of congratulations. And don't forget the smaller self-congratulatory efforts: count "perfect pages" on an assignment; shout out when you finally defeat a difficult question; take a moment to recognize your achievements.

3. Admit temporary setbacks, but continue moving forward even if in smaller steps. Say you had planned to work on the English Final packet on Saturday morning but you oversleep and only have 30 minutes before you need to leave for work. This is a setback, but not an insurmountable hurdle. Decide to spend 15 minutes working on the homework now and another 45 minutes after work but before going out with friends. Do not skip the study session but, instead, reconfigure it to meet the situation at hand. And don't forget to congratulate yourself for remarkable problem-solving ability and commitment to succeed.

4. Count your blessings, not your failures. If a homework assignment goes badly and you get a terrible score, count the number correct instead of counting the number wrong. Think about the circumstances that lowered your ability to do your best work and consider ways to avoid the problem in the future. Did the phone ring a thousand times while you were trying to work? Then put the phone on vibrate and stuff it in the linen closet until you're finished with the assignment. Did your little sibling have a minor meltdown at the kitchen table while you were studying tere? Then move to a quiet room and put a sign on the door -- "INCREDIBLY INTELLIGENT STUDENT WORKING HERE!" Do not accept excusdes, just take appropriate action to eliminate the problem and congratulate yourself for creativity in the face of difficulty.

5. Try the "Count Down Method" of motivation. I use this one frequently. Take an almost empty roll of toilet paper and number the sheets backwards. If there are 19 days left until summer break, number the first sheet 19, the second 18, etc. Tear off one sheet each day and you'll be "counting down" to the beginning of vacation. I also repeat the following mantra whenever necessary........I can do ANYTHING for 19 more days!.......I can do ANYTHING for 18 more days!....I can do ANYTHING for 17 more days....16 more days...15 more days.....14 more days.....