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Statistics Liberal Arts Math

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Presentation on theme: "Statistics Liberal Arts Math"— Presentation transcript:

1 Statistics Liberal Arts Math
Pasadena City College

2 Motivation & History

3 Current Curriculum CALCULUS Roger

4 Does the curriculum serve our population?

5 Create a new track for SLAM
Completion Only 11.7% prealgebra students complete transfer level course in 4 years

6 Backwards Design What math does a SLAM student need?
Statistics Quantitative Literacy 1 Quantitative Literacy 2 Liberal Arts Math No attempt to accelerate or compress Just what do we want them to know and how can we teach it. Real Life

7 SLAM vs. STEM Statistics Quantitative Literacy 2 Liberal Arts Math
Beginning Algebra Intermediate Algebra STEM Track Acceleration not a design goal, but there is a small amount. Shorter track for non-STEM

8 Creating Learning Experiences
Discovery-based activities Using Manipulatives to understand mathematical ideas Excel Labs to both explore concepts and analyze data Projects Tracking Expenses Stock Project Home Buying Project

9 Created our own course materials
Many hours, many authors Flipped class (pencasts) Canvas(again process mirrors classroom)

10 QL2: Course Content

11 Statistics Measures of Center and Weighted Mean Measuring Spread
Graphical Representations of Data Correlation and Estimating the Best-fit Line

12 Finance Simple vs Compound Interest Payday Loans Credit Cards
Annuities Amortized Loans Student Loans Home Loans Computer Labs that investigate changing Principal, Loan length, interest rate, and compounding period per year. Student Loans – subsidized vs unsubsidized Home loans – 15 year fixed vs 30 year fixed

13 Probability Events, Simple Events, Combining sets
Counting – Fundamental Counting Principle, nPr, nCr Two Way Frequency Tables Expected Value Probability Experiments Are Males more likely to support marijuana legalization that women? How do Casinos Make Money?

14 Geometry Areas of Rectangles, Triangles, Parallelograms, and Trapezoids discovery- based activity Investigating the effects on Perimeter, Area, and Volume when changing edge length Fermi Problem (estimation)

15 Fermi Problem

16 Science Solving Literal Equations Units and Dimensional Analysis
Absolute vs Percent Error Linear, Exponential, and Logarithmic functions & rates of growth Scientific Notation and Sig Figs Variation Logarithmic Scale – pH and Richter

17 Standard Algebra Content Excluded
Quadratics & Polynomials Rational Expressions Factoring Matrices & Linear Systems Title is Set difference

18 QL1: Content and Approach

19 Similar Content to a Standard Prealgebra class (but better)
Old and out of date New and hot! Roger

20 Content Patterns Integers Fractions Decimals Percent
Graphing and Lines Roger

21 Contextualized Baker baker paradox

22 Experiential/Activity-based
Less lecturing More of students doing math Pic on left has old white guys Pic on right has women and students of color Lots of Manipulatives

23 Lots of Manipulatives

24 Solving Word Problems Everyday

25 Discovery-based Learning
Discovering areas of parallelograms, triangles, trapezoids Pattern recognition Intelligently designed problem sets that lead towards discovery of mathematical principles and ideas

26 Metacognition and Affective Domain Failure is an Option Mindset
Study Skills

27 Critical Thinking Reasonableness of Answers
Money tracker – students did serious soul searching about how they are spending their money – combines metacognition, critical thinking, and life. Decision making – would you rather have $2000 off or a lower interest rate? Use quantitative reasoning to answer questions like – “Are ____ more likely to be ____ “ links quantitative reasoning with their other classes

28 Student Comments “This thing is hard, but I love it!”
“It seems like I’m learning the same stuff in a regular class, but I actually see how it’s useful.” “I’m SOOOOO glad that PCC has finally realized that we are all individuals and that we learn differently.” “This is more than math, this is real life!” “F**K ME, I GOT IT!!!” “Are you teaching me so that my brain gets fat or that my soul gets full?”

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