Traditional classroom lectures and examples have been replaced with ones
that match the textbook, condensed, and recorded to video. Lesson and
examples videos average 5:43 and 10:33, respectively. The video lessons
do not simulate full lectures, but rather they are compact and strategic
bursts of information focusing on specific topics. The accompanying examples
provide demonstrations on how to solve problems related to the topics. Even
though detailed notes for each lesson are included in the text, you are
strongly encouraged to take your own notes as if you were sitting in class.
You must also fill in the solutions to the examples while watching the video,
as they have been omitted from the text. Write down the questions you have
so that your teacher can answer them through email or during the class meeting.
You will have plenty of time to get on track so that you can complete the
homework assignment.
Set aside dedicated time for watching videos and studying. Bergmann and
Sams "encourage students to eliminate distractions. They shouldn't try
to watch the video with Facebook open and the iPod in the ear while
simultaneously texting and making dinner". They also note that "because the
vast majority of the direct instruction is delivered through videos, students
who do not watch them are not prepared for class… [and] will totally miss
important content. It is as if they skipped the class in a traditional
classroom".
The videos are intended to match the textbook as closely as possible. Lectures
for many classes (even non-math classes) are verbatim from the text. Anything
not covered is typically the responsibility of the student. We avoid this by
giving to you all the information necessary and in two different media. In
addition, some of the burden of reading a section of the textbook prior to
coming to class has been minimized by providing the option of listening to
and watching the text rather than reading it. We have condensed and simplified
the course content so that it takes an average of about 17 minutes to cover a
lesson the day before the class meeting. This is arguably much less time than
it would take to read a section of a traditional text.
It is impossible to show examples of every different type of problem you will
encounter. Traditional texts seemingly attempt to do this, but it is the reason
an exercise set from a section of a traditional text sometimes contains almost
100 problems. We chose basic examples that follow immediately from the lesson
so that fundamental concepts and applications are enforced. You will have the
opportunity to experience more complicated problems in the in-class activities
and in the homework assignments.
We understand that it may take time for some of you to become comfortable
with watching and learning from the videos. If this is the case, then maybe
you can learn simply by reading and working from the textbook. In any case,
please feel free to browse the internet for additional information and support.
There exist dozens of websites and thousands of videos intended to provide
support for students of calculus. Ask your teacher for some suggestions
and references. It is your ultimate goal and responsibility, however, to
walk into the classroom prepared for the day's lesson. The good news is
that you have some control in how you reach this goal.
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