1. ADVICE TO
STUDENTS FOR
BETTER
LEARNING,
STUDYING, AND
REMEMBERING
From “Improving Learning by
Understanding the Psychology of
Human Memory”, (Saikali, 2013),
presented at the 2013 Annual Autumn
Conference of California Mathematics
Council Community Colleges (CMC3)
2. DO NOT OVERLOAD
YOURSELF
Students have many responsibilities.
• Work, School, Family obligations.
• These collective demands cause their grades to suffer so that
they accumulate a poor academic record.
• They may then drop out of school, take on long-term
responsibilities, and regret forever that they did not go further with
their education.
• Determine how much YOU can handle and be careful about
exceeding it.
*
Doing Well in Class Introduction Philosophy
3. DO NOT OVERLOAD
YOURSELF
Some commitments are inflexible.
Perhaps the stress of other responsibilities can be moderated
with help from family members.
Still others may be possible to reduce or remove from your life.
• Are you working many hours due to necessity or luxury?
• Could you scale back expenses, work fewer hours weekly, and still
survive financially?
• Alternatively, taking fewer units of classes per term may mean a
longer total time to graduate, but may allow you more time to study,
get sufficient rest, and hence, achieve a better academic record.
*
Doing Well in Class Introduction Philosophy
4. RESIST OVER-CONFIDENCE
Usually, the first part of any course is its easiest.
Even so, there may be bits of knowledge that you need to master.
Moreover, when the new material comes, you need to be ready for
its challenges.
An over-confident attitude may serve only to get you behind.
It can be scary and frustrating to find that you are unable to keep up
with the new material in a course.
Cramming to then retain too much material in a short time rarely
works out for students.
*
Doing Well in Class Introduction Philosophy
5. COME TO EACH SESSION OF A
CLASS ON TIME AND PREPARED
In order to make best use of your time in class, you should
• complete homework exercises from previous sections;
• bring the homework with you to class;
• review the last lecture;
• read the portion of the textbook to be covered in the coming
lecture.
• This will expose you to terminology, concepts, graphs, and
methods that you may hear again in lecture.
All of these are important efforts toward learning, studying,
and long-term remembering.
Doing Well in Class Introduction Philosophy
6. ELABORATIVE REHEARSAL IS CRUCIAL
TO LONG-TERM MEMORY RETENTION
You can supplement in-class attentiveness by reviewing and audibly
pondering the deeper meanings of what you heard in lecture.
Arrange a small study group in which people take turns explaining portions of
the material to the group and resolving any confusion.
Flashcards can also serve effectively as rehearsal.
Re-writing your lecture notes while explaining (aloud or to a friend) each part
works well for some students.
The more you reinforce and reach a level of comfort in talking about the
lecture content, the easier it will be to remember and use what you have learned
when tested.
Doing Well in Class Introduction Philosophy
8. START EACH HOMEWORK ASSIGNMENT
AS SOON AS POSSIBLE AFTER ITS
LECTURE
Unless you quickly and often use what you hear in the
classroom and read in the textbook, you begin forgetting new
material rather quickly.
Avoid waiting until the weekend to do multiple lectures
worth of homework.
• The amount of work can feel insurmountable and leave you
getting much less out of the exercises than otherwise possible.
Doing Well in Class Introduction Philosophy
10. START EACH HOMEWORK ASSIGNMENT
AS SOON AS POSSIBLE AFTER ITS
LECTURE
As psychologist Ebbinghaus found a century ago, we begin
forgetting brand new material almost immediately
• if it is not used in meaningful ways,
• and if we do not relate it to our existing knowledge.
Look up the Ebbinghaus Forgetting Curve online, print it
up, and carry it with you to help encourage you to start
homework ASAP!!!
Doing Well in Class Introduction Philosophy
11. DO HOMEWORK IN A
DISTRACTION-FREE SETTING
Put away devices that draw focus from your work.
• Do you listen to music when you work out, or when you do
household chores? Why?
• Likely to help the time go by while you are doing something you find
boring.
• Is this really conducive to studying, learning, and remembering?
• If you are checking your telephone, social media sites, email, texts,
every few minutes, think of how little substantive attention is being
paid to what you are supposed to be learning.
• How can you reasonably expect to remember later?
• Make a printed weekly schedule of when to do homework for each
course.
• Carry it with you daily and commit to it.
Doing Well in Class Introduction Philosophy
12. DO HOMEWORK IN A
DISTRACTION-FREE SETTING
Put away devices that draw focus from your work.
• Do you listen to music when you work out, or when you do
household chores? Why?
• Likely to help the time go by while you are doing something you find
boring.
• Is this really conducive to studying, learning, and remembering?
• If you are checking your telephone, social media sites, email, texts,
every few minutes, think of how little substantive attention is being
paid to what you are supposed to be learning.
• How can you reasonably expect to remember later?
• Make a printed weekly schedule of when to do homework for each
course.
• Carry it with you daily and commit to it.
Doing Well in Class Introduction Philosophy
13. DO HOMEWORK
RESPONSIBLY
Start homework by reviewing the new ideas and methods (from
the lecture notes and textbook) relevant to the current homework.
• How does this new content relate to what you learned in earlier
lectures, sections of the textbook, and homework?
• Homework should strengthen the learning of new content.
• This benefit comes only if you are consistently responsible with it.
• Example problems show how to make use of a section’s material.
• It may be tempting to “do” each homework problem by looking for an
example problem to emulate without really seeking to understand the
relevant theory.
Doing Well in Class Introduction Philosophy
14. DO HOMEWORK
RESPONSIBLY
Example problems show how to make use of a section’s
material.
• It may be tempting to “do” each homework problem by looking for
an example problem to emulate without really seeking to
understand the relevant theory.
• Any short-term gain from this practice will be of minimal value during a
test when no aids are available.
For each homework problem, write the instructions and problem
statement, and show work neatly.
When helpful, construct a table or sketch.
Doing Well in Class Introduction Philosophy
15. DO HOMEWORK
RESPONSIBLY
If the problem is a True/False or Yes/No type, justify your
answer.
• That is, for example, state WHY it is true or WHY it is false.
• You can also state what would make it true if it is false.
These practices will make studying for tests much easier, as
you should be able to remember your past work better.
Doing Well in Class Introduction Philosophy
16. STOP AND ASK YOURSELF, “WHAT HAVE
I LEARNED?” FROM HOMEWORK
When you complete a subset of related homework problems, take a few
minutes to consider what you have gained
• What do you know now that you did not know before?
• Could you teach it to others?
• Are you able to use what you have acquired to do other problems in this
or future sets?
Be honest with yourself
• If you have not learned much from doing the homework, that must be
addressed.
• Telling yourself that everything will work itself out is not the remedy.
• While there are academic things that take time to mentally digest, it
should not be that way generally with your work.
Doing Well in Class Introduction Philosophy
17. STOP AND ASK YOURSELF, “WHAT HAVE
I LEARNED?” FROM HOMEWORK
Learning is sometimes very difficult and frustrating.
• The discomfort you feel, the frustration, that is the brain actually
physically rewiring itself to be better at the task at hand.
• This is one of the major reasons why learning math is such a
difficult process – the brain has to physically undergo change.
• This, combined with the fact that we are programmed to hate the
feeling of being ‘wrong’ are two major reasons why many students
‘hate’ mathematics…
• It’s not easy, it takes practice, and it takes getting things wrong many
times to learn how to get them right!
Tell yourself that it’s OK to be wrong, it’s OK to make mistakes,
and it’s OK to feel frustrated – this is how we LEARN!!!
Doing Well in Class Introduction Philosophy
18. INSTRUCTOR OFFICE HOURS
A misunderstanding of current material will interfere with you
correctly learning and remembering new material.
• It’s not ‘Practice makes perfect’ but rather…
• ‘Perfect Practice makes perfect.’
Do you make use of your instructors office hours?
• You can and should also ask questions in class when they come up!
When doing so, be prepared to specify what you do understand
and show that you have made reasonable effort on your own at
figuring out what is unclear.
• However, if you are truly stuck, go in and see them also!
Doing Well in Class Introduction Philosophy
19. FAMILIARITY ≠ COMPREHENSION
While there is value in rereading your lecture notes and the
textbook, do not get deluded into thinking that visual familiarity
equals understanding/retention.
• Just because something is easier to read does not mean that you are
able to reason on it to solve problems as may very well be required
during a test.
• “It was so easy when I watched YOU do it at the board, but when I got
home…”
• Also, this kind of narrow familiarity tends to not work well when a
person is presented with the same material from a different
perspective.
Doing Well in Class Introduction Philosophy
20. SPEND SUFFICIENT TIME STUDYING
EARLY, AND SPACE OUT STUDY
SESSIONS
It takes time to get knowledge into your long term memory
in a way that makes it easily retrievable in the future.
• Avoid waiting until a day or two before a test to start preparing.
• Cramming is generally not as effective as people assume.
• Consistently studying daily is more conducive to retention.
• Math is a language…
Doing Well in Class Introduction Philosophy
21. SHORT BREAKS DURING
STUDYING
Getting distracted every few minutes is an extreme.
Working many hours without breaks is an extreme.
Find a good place in between.
Check yourself along the way to see if you are remembering
what you have studied and can demonstrate mastery of it without
peeking at notes, books, or answers.
If comprehension is minimal, your manner of studying is
impractical.
Doing Well in Class Introduction Philosophy
22. SHORT BREAKS DURING
STUDYING
Try to get up and have 5-10 minutes of physical activity for
every hour of study.
Whenever possible, do not go longer than an 1 to 1 ½ hours
of studying without a physical activity break.
Good nutrition and rest are also important.
• Naps, when possible, are GREAT!
Doing Well in Class Introduction Philosophy
23. FINAL ADVICE FOR TESTS
Start studying well in advance of a test.
Cramming and all-nighters are risky.
Get enough sleep the night before a test.
Eat properly so that you are alert and nourished.
Gather all necessary tools (pencils, eraser, fresh batteries for your calculator, etc.)
well in advance of the test date.
If possible, arrive to the testing site early so that you are less stressed.
Keep a positive attitude even if the subject matter is not one you are fond of.
These will promote your capacity to learn, remember, and do well academically.
Doing Well in Class Introduction Philosophy
24. Be prepared
Don’t take on too much
Hit the ground running
Come to each class, on
time, and prepared
Use classroom time wisely
Practice well, and a lot
RECAP OF IMPORTANT
POINTS
Get started on homework
as soon as physically possible
after class
Do homework in a
distraction free setting
Do homework responsibly
Doing Well in Class Introduction Philosophy
25. Learning is as important as
getting the right answer
Ask yourself “What have I
learned from homework?”
Utilize office hours
Focus on trouble spots
when prepping for a test.
RECAP OF IMPORTANT
POINTS
Familiarity ≠
Comprehension
Study early, for sufficient
amounts of time, and often
Physical breaks when
studying
Doing Well in Class Introduction Philosophy
26. Jason Edington
◦ Apparently I used to
work in radio?
Grew up in LA
area…
◦ Went to Jr. High
with…
Doing Well in Class Introduction Philosophy
27. Jason Edington
◦ Apparently I used to
work in radio?
Grew up in LA
area…
◦ Went to Jr. High
with…
Doing Well in Class Introduction Philosophy
28. Jason Edington
◦ Apparently I used to
work in radio?
Grew up in LA
area…
◦ Went to Jr. High
with…
Doing Well in Class Introduction Philosophy
29. ◦ What are my hobbies?
Doing Well in Class Introduction Philosophy
30. There are two major features to my teaching that I am going to utilize in class.
◦ First: I work to motivate students to embrace their education.
I encourage students:
to come to every class
be prepared for class
do the Homework
read ahead
Attend study groups
You may need to take the initiative and create one!
Come for help as SOON as you start getting behind (or heck, even before!)
Doing Well in Class Introduction Philosophy
31. There are two major features to my teaching that I am going to
utilize in class.
◦ Second: Consistently remind students to be OK with struggling.
This is a safe environment to take a chance and be wrong.
Only by trying, and struggling, can we really succeed and grow to our full potential.
Because we are ALL in the same class together, we need to support each other through this!
Doing Well in Class Introduction Philosophy
32. Being explicit about the conceptual structure, and interconnectedness, of mathematics.
◦ This is something that we will strive for, every day, in every aspect of our discussion, reading, and studying.
Specifically in this class, I will point out how the concepts that you’ve been learning in Algebra and Trig will be used
in Calculus.
Allowing students to struggle to understand concepts.
◦ This does NOT mean that I will throw you out into the wild on your own.
◦ Rather, it means that I will show you the basic ideas necessary to understand the harder problems, and you
will do the work in putting them together.
(In other words, I’ll show you some examples, but for effective learning to take place, you WILL struggle with
problems. )
HINT: The struggle is when the learning happens!
Doing Well in Class Introduction Philosophy
33. There are two major features to my teaching that I am going to utilize in class.
◦ Again…
Be motivated to do what it takes to learn the material.
Be OK with struggling.
◦ Your success is the most important thing to me, and is why I teach.
◦ However, like a Sherpa, I can only show you the way…
you have to do the climbing…
Doing Well in Class Introduction Philosophy
34. Now, let’s hear about you!
◦ Please tell us the following:
Name
Major
Something interesting about yourself
Doing Well in Class Introduction Philosophy
35. Last Name, First Name
Email Address
Last class you took, and when? (Semester/Year)
Major
School you plan to transfer to
Date you will graduate with your final degree
(Certificate, AA/S, BA/S, MA/S, or PhD)
Doing Well in Class Introduction Philosophy
Notas do Editor
The cramming method does not work well with Mathematics because you are learning a process and a language. Your brain needs repeated exposure to the work to build the circuitry necessary to become proficient.
What kinds of things have you worked at getting better at? Did they come naturally? How did you get better at them? STUDY GROUPS!!!! Do football players lift weights on the field?
This is a downfall of many students. “I’ll get it all done on the weekend.” Realistic…we know that we have work/practice/rehearsal/social/sleep! However, you should spend as much time as you can EVERY DAY because you are learning language – and the only way to learn a language is to constantly use it.
Baroque Classical (Vivaldi’s “Four Seasons”, Bach’s Brandenburg Concerto #3), Ambient music or sound (waterfalls, rain, seashore), Modern electronic ‘Chill Out’ music genres such as Trip-hop, Nu jazz, Abient House, Ambient Trance, New Age…60 bpm target and limited or no lyrics.
Thomas Edison famously made 1,000 unsuccessful attempts at inventing the lightbulb. When questions about this by a reporter, he said ‘I didn’t fail 1,000 times. The light bulb was an invention with 1,000 steps!’
The reason you want to be prepared, when possible, for office hour is that this will make it much more productive that simply stating ‘I don’t understand anything.’ This statement is usually coming from a place of frustration. It is a valid statement, but it will take longer to get you to a better place of understanding. Can you specify what parts you are struggling with?
Does anyone here speak more than one language? How did you learn? Discuss my learning of Spanish.
Suggestion is 10 minutes of physical activity (walking the dog, vacuuming, playing handball against the garage…) for each hour of study. So, 50 minutes study, 10 minutes play….PHYSICAL, not video games! (Pokemon Go, if you are walking!)