Finite Math Cohort -
Let’s draft the outline of our OER below to include all the parts or chapters that we envision.
This is my first attempt at an outline of chapters along with the learning Objectives associated with each chapter. I have modeled this after the course that I have taught using a traditional textbook, specifically, Finite Mathematics: An Applied Approach 11/e by Michael Sullivan, ©2011, Wiley.
I offer this simply as a starting point.
Chapter 1: Prerequisites, Linear Equations
Address LO 1. Demonstrate mastery of review topics from college algebra
Chapter 2: Systems of Linear Equations (include graphing and Gaussian elimination)
Chapter 3: Matrix Operations (which lead to solving systems using matrix operations)
These chapters Address LO 2. Solve systems of linear equations and inequalities by graphing, algebraically, and with matrices.
Chapter 4: Linear Programming with Two Variable
Address LO 3. Solve linear programming problems.
Chapter 5: Finance
Address LO 7. Recognize and solve simple interest, compound interest, and annuities.
Chapter 6: Probability
Address LO #4 and 6
4. Use Venn Diagrams to solve problems with sets and the relationship between sets.
6. Use basic counting principles, including combinations and permutations, to solve problems.
Finally, Chapter 7: Logic
Address LO 5. Apply rules of symbolic logic to assess the validity of logical arguments.
NOTE: Learning Objective #8 has been intentionally left off. In my opinion LO #8 does not belong in a Finite course. My introductory statistics classes include Learning Outcome #8. We begin with descriptive statistics, move to probability, then continuous and discrete distributions, which eventually get us to inferential statistics. It takes a whole course in statistics to get to inferential statistics. (I will repeat this note in the “Learning Outcomes, Existing OER” document.) Feel free to disagree with any or all of this.
I like the setup of Toni’s outline. In our Finite Math classes at Southeastern, we also do not cover descriptive and inferential statistics. The extent of our probability and statistics coverage was basic probability, permutations, and combinations, and we actually ended up removing all of that to replace it with logic. I think that if we did include the statistics chapter in this outline, it would go with probability.
I think that Chapters 1-4 of Toni’s outline are the only ones that have to go in that order, and the other chapters could really go in any order because they are all separate concepts. I do like that the algebra sections are first because I’ve found that my students struggle with basic problem solving in simple and compound interest because at Southeastern, we save the algebra sections for the end of the semester.
So, bottom line, I like Toni’s outline, but I’m open to discussion if someone feels changes are necessary.
Ashley, I agree! Chapters 1-4 are the only ones that have to go in order, and I like doing them first.
Here’s our updated outline (from the Zoom meeting on 2/13):
Chapter 1: Prerequisites, Linear Equations
Address LO 1. Demonstrate mastery of review topics from college algebra
Chapter 2: Systems of Linear Equations (Gaussian elimination)
LO 2A. Solve systems of linear equations and inequalities algebraically.
Chapter 3: Matrix Operations (which lead to solving systems using matrix operations)
LO 2B. Solving systems of linear equations with matrices.
Chapter 4: Linear Programming with Two Variables
Address LO 3 (includes part of LO2). Solve systems of linear equations graphically and solving linear programming problems.
Chapter 5: Finance
Address LO 7. Recognize and solve simple interest, compound interest, and annuities.
Chapter 6: Sets and Probability
Address LO #4 and 6
4. Use Venn Diagrams to solve problems with sets and the relationship between sets.
6. Use basic counting principles, including combinations and permutations, to solve problems.
Chapter 7: Logic
Address LO 5. Apply rules of symbolic logic to assess the validity of logical arguments.
Chapter 8: Statistics
Address LO 8. Organize and interpret data in scenarios involving descriptive or inferential statistics.
Chapters 1-6 are in Lippman book. Chapters 7-8 would have to come from another source.
1 Like
Looks great! I like it.
I like this as well. I think that it is a great starting point.
Hello everyone,
I like this very much. Lippman has another book called Math In Society. That book has chapters on Logic and Statistics. I have used that book in another OER project I did for Contemporary Math. Since it is Lippman, it has the same feel as the Business Precalculus book we all seem to like. I have shared a link to what I think is the latest version of Math in Society.
David Lippman, Math in Society
Kiel
