Streamlining assessment, feedback, and archival with auto-multiple-choiceMatthew Leingang
Auto-multiple-choice (AMC) is an open-source optical mark recognition software package built with Perl, LaTeX, XML, and sqlite. I use it for all my in-class quizzes and exams. Unique papers are created for each student, fixed-response items are scored automatically, and free-response problems, after manual scoring, have marks recorded in the same process. In the first part of the talk I will discuss AMC’s many features and why I feel it’s ideal for a mathematics course. My contributions to the AMC workflow include some scripts designed to automate the process of returning scored papers
back to students electronically. AMC provides an email gateway, but I have written programs to return graded papers via the DAV protocol to student’s dropboxes on our (Sakai) learning management systems. I will also show how graded papers can be archived, with appropriate metadata tags, into an Evernote notebook.
Integration by substitution is the chain rule in reverse.
NOTE: the final location is section specific. Section 1 (morning) is in SILV 703, Section 11 (afternoon) is in CANT 200
Lesson 24: Areas and Distances, The Definite Integral (handout)Matthew Leingang
We can define the area of a curved region by a process similar to that by which we determined the slope of a curve: approximation by what we know and a limit.
Lesson 24: Areas and Distances, The Definite Integral (slides)Matthew Leingang
We can define the area of a curved region by a process similar to that by which we determined the slope of a curve: approximation by what we know and a limit.
At times it is useful to consider a function whose derivative is a given function. We look at the general idea of reversing the differentiation process and its applications to rectilinear motion.
At times it is useful to consider a function whose derivative is a given function. We look at the general idea of reversing the differentiation process and its applications to rectilinear motion.
Uncountably many problems in life and nature can be expressed in terms of an optimization principle. We look at the process and find a few good examples.
Uncountably many problems in life and nature can be expressed in terms of an optimization principle. We look at the process and find a few good examples.
Streamlining assessment, feedback, and archival with auto-multiple-choiceMatthew Leingang
Auto-multiple-choice (AMC) is an open-source optical mark recognition software package built with Perl, LaTeX, XML, and sqlite. I use it for all my in-class quizzes and exams. Unique papers are created for each student, fixed-response items are scored automatically, and free-response problems, after manual scoring, have marks recorded in the same process. In the first part of the talk I will discuss AMC’s many features and why I feel it’s ideal for a mathematics course. My contributions to the AMC workflow include some scripts designed to automate the process of returning scored papers
back to students electronically. AMC provides an email gateway, but I have written programs to return graded papers via the DAV protocol to student’s dropboxes on our (Sakai) learning management systems. I will also show how graded papers can be archived, with appropriate metadata tags, into an Evernote notebook.
Integration by substitution is the chain rule in reverse.
NOTE: the final location is section specific. Section 1 (morning) is in SILV 703, Section 11 (afternoon) is in CANT 200
Lesson 24: Areas and Distances, The Definite Integral (handout)Matthew Leingang
We can define the area of a curved region by a process similar to that by which we determined the slope of a curve: approximation by what we know and a limit.
Lesson 24: Areas and Distances, The Definite Integral (slides)Matthew Leingang
We can define the area of a curved region by a process similar to that by which we determined the slope of a curve: approximation by what we know and a limit.
At times it is useful to consider a function whose derivative is a given function. We look at the general idea of reversing the differentiation process and its applications to rectilinear motion.
At times it is useful to consider a function whose derivative is a given function. We look at the general idea of reversing the differentiation process and its applications to rectilinear motion.
Uncountably many problems in life and nature can be expressed in terms of an optimization principle. We look at the process and find a few good examples.
Uncountably many problems in life and nature can be expressed in terms of an optimization principle. We look at the process and find a few good examples.
Lesson 20: Derivatives and the Shapes of Curves (handout)
Worksheet: The Basic Principle of Counting
1. Worksheet for Section 1.1–1.2
The Basic Principle of Counting
V63.0233, Theory of Probability
June 29, 2009
1. At Pat’s Cheese Steaks in Philadelphia you can order a cheesesteak with or without saut´ed
e
onions, and with your choice of provolone cheese, american cheese, or Cheez Whiz. (In the native
parlance, a typical order sounds like “Whiz, wit’.”)
How many different ways can you order your cheesesteak?
2. Consider flipping a coin two times.
(a) How many possible sequences of flips are there?
(b) What percentage of the possibilities have two heads?
(c) What percentage of the possibilities have an even number of heads?
3. Consider flipping a coin four times.
(a) How many possible sequences of flips are there?
(b) What percentage of the possibilities have two heads?
(c) What percentage of the possibilities have an even number of heads?
4. In Indiana from 1963 through 2008, license plates were coded by the following scheme:
• The number of the county the licensee resides in, arranged alphabetically from 1 to 93
• a letter
• a four-digit number
An example might be “82a5713”. How many license plates may be printed according to this
scheme?
5. Since 2008, Indiana license plates are coded by a three-digit number and from one to three
letters. How many license plates are possible in this scheme?
6. The current format of area codes is three digits, where
• The first digit can be any number but 0 or 1
• The second digit can be any number between 0 and 8
• The third digit can be any number at all, except that the last two digits cannot both be 1
1
2. So 781 is a valid area code but not 187 or 411. How many possible area codes are there?
7. In the days of rotary telephones, area codes were restricted to a different format:
• The first digit could be any number but 0 or 1
• The second digit had to be 0 or 1
• The third digit could be from 1 to 9 if the second digit was 0, and from 2 to 9 if the second
digit was 1.
So 617 is a valid area code, but not 781 (back then), nor 411. This was to make dialing easier and
to give the most populous areas the smallest number of total clicks. How many possible area codes
were there then?
8. Packing his belongings to go to college, a student has to decide what to do about his CD
collection. In how many different ways can he take a long at least one of his 10 favorite CDs?
2