A Pre-Statistics Path to Transfer

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Transcript A Pre-Statistics Path to Transfer

Statistics Liberal Arts Math
Pasadena City College
Motivation & History
Current Curriculum
Does the curriculum serve our
population?
Create a new track for SLAM
Completion
Backwards Design
What math does a SLAM student need?
Statistics
Quantitative
Literacy 1
Quantitative
Literacy 2
Liberal Arts Math
Real Life
SLAM vs. STEM
Statistics
Quantitative Literacy 2
Quantitative
Literacy 1
Beginning
Algebra
Intermediate
Algebra
Liberal Arts
Math
STEM Track
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
Created our own course materials
QL2: Course Content
Statistics
• Measures of Center and Weighted
Mean
• Measuring Spread
• Graphical Representations of Data
• Correlation and Estimating the Best-fit
Line
Finance
• Simple vs Compound Interest
• Payday Loans
• Credit Cards
• Annuities
• Amortized Loans
• Student Loans
• Home Loans
Probability
• Events, Simple Events, Combining sets
• Counting – Fundamental Counting
Principle, nPr, nCr
• Two Way Frequency Tables
• Expected Value
Geometry
• Areas of Rectangles, Triangles,
Parallelograms, and Trapezoids discoverybased activity
• Investigating the effects on Perimeter,
Area, and Volume when changing edge
length
• Fermi Problem (estimation)
Fermi Problem
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
Standard Algebra Content Excluded
Factoring
Matrices &
Linear Systems
Quadratics &
Polynomials
Rational
Expressions
QL1: Content and
Approach
Similar Content to a Standard
Prealgebra class (but better)
Old and out of date
New and hot!
Content
• Patterns
• Integers
• Fractions
• Decimals
• Percent
• Graphing and Lines
Contextualized
Experiential/Activity-based
Less lecturing
More of students doing math
Lots of Manipulatives
Solving Word Problems
Everyday
24
Discovery-based
Learning
25
Metacognition and
Affective Domain
26
Critical Thinking
27
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!!!”