3. Developmental
Pathways …
include Math Literacy for College Students,
Quantway, Statway, and the New Mathways
Project.
create alternative routes to or through college-level
math courses, especially non-STEM courses.
look forward to college needs instead of backward
to high school deficiencies.
emphasize critical thinking and problem solving.
use authentic problems and contextualized
learning.
4. A New Pathways Option
In one semester (3 – 6 credits), Mathematical
Literacy for College Students gives a student at the
beginning algebra level the mathematical maturity
to be successful in statistics, liberal arts math, or
intermediate algebra.
5. Why pathways?
Large number of students in
developmental math only need statistics
or liberal arts math to graduate
Students pass dev math but still not
prepared for non-STEM courses
Redesign had not addressed what we
were teaching, just how
7. History
2009-10
Carnegie Foundation, UT Dana Center, & AMATYC’s New Life create pathways.
Different approaches are used regarding algebra and outcome courses.
2011-13
First pilots of pathways courses begin nationally, including RVC.
Interest in pathways grows at the national level.
2013-14
Policies change in several states regarding intermediate algebra.
Pathways begin to scale.
8. Built by faculty for
faculty
Variety of content to
address a school’s
needs
Establishes a culture
of active learning
Incorporates many
contexts including
science
12. A doctor orders 200 mg of an
antibiotic for an infant who weighs
15.4 lb. It should be taken every 8
hours. The medication label shows
that 75–150 mg/kg per day is the
appropriate dosage range.
Determine if the dosage
ordered is within the desired
range.
Traditional Algebra vs. MLCS Approach
Convert 10 miles to kilometers.
13. It’s not just…
“Can you do it?”
It’s…
“Do you understand it well
enough to use it?”
15. Problems vs. Exercises
Problems require original approaches.
A method is not necessarily clear at first glance.
Exercises require choosing and applying
an algorithm.
Problems involve the non-routine application and
connection of skills.
Exercises develop students’ ability to
perform skills.
16. Exercise Problem
Solve: 2x + 7 = 10 Given only $20, how many
buffalo wings can you buy if
they are 25 cents each? Assume
you will buy a pitcher of soda
for $4 and veggies and dips for
$2.50. 7.25% tax should be
included along with a 20% tip.
17. For which salaries is option A
better than option B?
A: 5% raise
B: 3% raise plus $1000
Solve the system:
3x – 2y = -6
x = -4y + 8
Exercise Problem
18. Simplify: You are making brownies and
debating between an 8” round
pan and an 8” square pan. If
you want thick brownies, which
should you use and why?
Show all calculations with units
included.
2 3 5
( 3 )x y−
2 3 5
( 3 )x y−
Exercise Problem
19. Calculate…
…then determine units
Units seem arbitrary and
are easily left off.
Calculate with units
More difficult calculations
but units are included and
have meaning.
2
4 16 50.3A π π= ⋅ = ≈
2 2 2
(4 ) 16 50.3A in in inπ π=⋅ = ≈
20. Content Effects
New topics and approaches require the
removal of some familiar topics.
Difficulty level and expectations increase.
Focus shifts from “what has to be
covered?” to “what has been learned?”
How students learn is as important as what
they learn.
24. Linear equations
Functions
Slope
Algebraic vs.
numeric methods
Excel
When is it worth it to buy an e-reader?
25. Linear equations
Functions
Slope
Algebraic vs.
numeric methodsCombining these perspectives gives more information than one method alone.
When is it worth it to buy an e-reader?
31. Implementation Ideas:
4th year high school course
Non-STEM
College
Level Math
Algebra 1 Geometry Algebra 2 MLCS
Prealgebra Algebra 1Basic Math
Prealgebra Algebra 1 Geometry MLCS
MLCS
32.
33. Outcomes
Although sample sizes are small…
• 60 - 70% pass MLCS
• No statistically significant difference in Gen Ed math
or Stats based on prerequisite (algebra or MLCS)
• MLCS students pass traditional intermediate algebra
at a higher rate than beginning algebra students.
Longterm tracking will continue for several more years.
