Digital Mapping
Coming up…
Today – Final Lab before midterm (go over in detail – your answers here will be used on the first part of the exam)
No Packback Assignment this week (Next assignment due March 19th)
I’ll release the review tonight – please go over it advance of Thursday and be prepared to ask questions
Thursday the 21st Review
I’ll answer any questions about lab or lecture material during the review
I’ll release the take home part of the exam (25 percent of your test grade)
Analogous problems
Tuesday 26th – Exam Part II
(25 percent) of your grade
Creatively use answers from take home exam to answer questions
Bring take home exam with you for help on this part of erxam
Thursday 28th – More traditional short answer exam based on lecture (no resources for help)
Folks with accommodations you need to alert the proper folks
Channel Swimming, Test Taking, and Emotional Acceleration
Kyrie Apologizes
http://www.espn.com/videohub/video/clip/_/ id/24866483/categoryid/2378529
Flat Earth and Projections
Cult Belonging
Power of Explanation
Authenticity and Degrees
Last Part of Projections
Strategies for picking the projection (the lab)
Considerations when choosing a projection
Purpose
Reference, navigation, surveying, analysis
Audience
General, specialist
Extent
Distance, areal coverage, relative distances
Location
Polar, tropical, mid latitude
UTM
Strategy: works well for most places with large north-south extent
Reasonably good preservation of shape, distance, area, and direction for almost anywhere within a zone
60 Zones – unique coordinate system and central meridian
State Plane Systems
State Plane
Socially agreed upon projection for places in the United States (Government, real estate, etc)
Use if area you are mapping is entirely within one area.
Better for smaller areas
Only good for United States
Run through the lab and start Math Therapy
Spatial Data Analysis (has a location)
Where is are certain types of things (people/stores/natural disasters) Are they located in some areas and not others?
Are these types of things close to each other?
Are these types of things far apart?
How big or small or these things?
Are some of these things bigger or smaller than others?
Have these things moved locations over time?
Open the Spread Sheet and Understanding the Data…
… What are types of data?????
Is it Qualitative or Quantitative – helps us determine what we can do with data – how we approach it…
16
16
16
Best Way to think of this is through examples…
Temperature is…
Color is….
Categorical Data
Categorical Data
No intrinsic order
No agreed way to rank from lowest to highest
You can assign categories but can’t rank them
Examples
Color
Commute
Growup
Hair color
gender
Ordinal Data
Ordinal Data
Clear Ordering of data
Low, medium, and high
Spacing between the variables is unknown
For example, NFC east standings – they are ordinal because we don’t know what the teams records are
We can order, but size differences are inconsistent
Phillies
Wealth
Ratio data
Ratio Data
Rank Order
Spacing between variables is known
Size differences are consistent
Minutes
Miles
6 vs 3 miles
20 vs 10 minutes
Other questions…
Sorting and Counting the number of people who answered each question the same
Calculating Percentages
Finding the lat lon…
Frequency Tables
Histograms
Mapping Lat and Lon
Its Statistics time! (And the most meme heavy class ever)
26
26
What resonates true about this gif?
Why is Math Hard? Cognitive Load Theory
Working memory vs. Long-Term Memory
Cognitive Load Theory is about how to best present new information to working memory
Working memory can only hold 4 or 5 bits of information
Unfamiliar stimulus can be overwhelming and disable long-term memory (schema)
Cognitive Overload
Too many things you don’t understand
Unfamiliar examples
Unknown vocab
Words used out of their usual context
Puzzling symbols
Structure of text/information is new
Solution – get comfortable/start from a familiar place. Build a Bridge.
Solution – Cut the bullshit I know my audience – you should know your purpose
Solution
Novices and Experts
Beginner vs. experienced hand
Teacher vs. student
Trying something for the new time
So… You Should
Calculating the Bill ($)
Addresses
Ages
Phone Number
Counting
Measuring
ALL QUANTITATIVE RELATIONSHIP
IT’S THE NATURE OF WHAT WE ARE DOING THAT GIVES US NUMBERS – THERE IS A GOOD REASON FOR IT!
Different Kinds of Data
Thinking about math avoidance
Math Anxiety and Digital Mapping?
Unfortunately, math avoidance results in less competency, exposure and math practice, leaving students more anxious and mathematically unprepared to achieve.
In college and university, anxious math students take fewer math courses and tend to feel negative towards math.
Why do you fail at Math?
Why don’t you like math?
Or if you do like it – why?
“Students often develop mathematical anxiety in schools…
… often as a result of learning from teachers who are themselves anxious about their mathematical abilities in certain areas”
“because they think its just a bunch of bullshit arbitrary formulas they have to memorize and busy work”
“Most students who say they hate math don't REALLY hate it, but instead they hate feeling like a failure”
“If you don't know how to solve a math problem, you don't get "close" to the answer. If the correct answer to some complicated formula is 8, if you make one mistake you usually won't get 7, you might get negative 242”
The point of this is not blame math or someone else – it’s to realize the nature of your socialization into Math.
See the obstacle that is holding you back and remove it.
Solutions
Resilience/self confidence
Facing conflicts and overcoming
Taking ownership and building capacities
Main hustles and side hustles
Learning by doing
Trust the process - light goes on…
Problem Solving using Math
Schema/Approaches
Approach
Processing and Understanding Different Kinds of Information
Take these insights into your lab…
Trends and Patterns…
Elegance and Efficiency
Bits of Information Symphonically Working Together to Provide Insights about our world!
A gentle beginning
Spatial Analysis means taking into Location (x,y)
Exploring/Sorting Data
Frequency Tables
Histogram
In the 80’s A & W introduces the third pounder to compete with McDonald’s Quarter Pounder.
Even though people prefer in blind taste tests prefer the 1/3rd pounder and it’s the same price, the burger isn’t selling.
A & W puts together focus groups to investigate further…
Quantitative Literacy????
"Why," they asked, "should we pay the same amount for a third of a pound of meat as we do for a quarter-pound of meat at McDonald's? You're overcharging us."
Focus Group Results