Post on 01-Mar-2021
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
What's the Meaning of This?Exploring QR Concepts
Using Excel
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
Alvina J. Atkinson
Professor of Mathematics
Georgia Gwinnett College
aatkinso@ggc.edu
Sarah H. Park
Instructor of Mathematics
Georgia Gwinnett College
spark3@ggc.edu
Lee Ann Roberts
Instructor of Mathematics
Georgia Gwinnett College
lrobert2@ggc.edu
Georgia Gwinnett College (GGC)Core Principles
• Student Engagement
• Active Learning
• Integrated Educational Experiences
• The Use of Innovative Educational Technology
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
What's the Problem?
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
The primary obstacle-Undergraduate Mathematics Courses
• A primary obstacle for students in attaining a college degree, especially degrees in STEM, is the required mathematics course sequence. Historically, first-year college math courses are the primary impediment to graduation for many students in Georgia (Garland, 2012).
• Labor economists recognize that mathematical knowledge and skills are essential to a person’s upward economic and social mobility.
• However, college math courses rather delay or direct students away from achieving their dream and chances at economic stability (USG Transforming College Mathematics, 2013).
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
Georgia's Quantitative Skills and
Reasoning Course
Topics include:
• Logic,• Basic Probability,• Data Analysis,• Modeling from
Data
Course Description:
This course emphasizes quantitative reasoning
skills that are needed for informed citizens to
understand the world around them.
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
GGC Course Goals for QR
After successfully completing this course, students will be able to:
1. Interpret and use precise mathematical language appropriately, including (but not limited to) the areas of set theory, logic, probability and statistics.
2. Use appropriate technology in the evaluation, analysis, and synthesis of information in problem-solving situations.
3. Use logical connectors appropriately to form compound statements and apply them to applications such as searching databases.
4. Read, interpret, and present data in multiple representations, especially graphical and numerical.
5. Create and analyze combinatorial arguments using tools such as permutations and combinations.
The projects address 60% of the course goals.
#ICTCM
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
Using Excel as a tool to investigate real-
world contexts
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
Bivariate Data Analysis Project
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
Major topic sections addressed by the Bivariate Data Analysis Project
• Analyzing Arguments
• Fundamentals of Statistics
• Graphs and tables
• Correlation and Causality
• Characterizing data (Descriptive statistics)
• Measure of Variation
• Linear vs. Exponential Growth
• Linear Modeling
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
Bivariate Data Analysis Project
Objective: For this project your team will determine whether two variables that describe each of Georgia's 159 counties are correlated.
I. Select DataII. HypothesisIII. Linear RegressionIV. Characterizing the independent variableV. Characterizing the dependent variableVI. Summary of articlesVII. Possible Explanation for Correlation
Sample Student Group Project:
Is median household income related to %
eligible for HOPE scholarship in GA
counties?
#ICTCM
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
Data Collection Project
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
Major topic sections addressed by the Data Collection Project
• Analyzing Arguments
• Fundamentals of Statistics
• Graphs and tables
• Correlation and Causality
• Characterizing data (Descriptive Statistics)
• Measures of Variation
• Linear vs. Exponential Growth
• Linear Modeling
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
First Steps
Translating Informal Ideas into Formal Research Plans
One way to start the process is to pose “I wonder” statements….
Think of a research question that will give a numerical
response.
Submit this for approval.
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
General Project Resources:Phases of the Data Collection Project
Your project will consist of several phases, as described below.Each phase is addressed in detail in the sections that follow.1. Choose your variable(s) and identify a research question2. Devise a plan to collect your data3. Submit a project proposal to the instructor and obtain approval4. Once your research question and data collection planare approved, carry out your research:
a) Collect and organize datab) Conduct the appropriate analysisc) Write your results in a report
5. Submit your written report.6. Prepare to present your project to the class.
Sample Student Survey Project:
How Many Times Do You Eat Chick-Fil-A In A
Month?
Sample Student Survey Project:
How Many People Played Video Games In
The Past Week?
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
What Do Students Gain?:
Students...
• See how math is used in the real-world• Participate in the process of analyzing data• Experience the world around them through mathematics• Get to think more….and do more• Move beyond “Remembering” & “Understanding”
and moving up into “Applying” & “Analyzing” (Bloom’s Taxonomy) in their first credit level college mathematics course
• See math as a springboard and not as a hurdle
32nd International Conference on
Technology in Collegiate Mathematics
ORLANDO, FL | MARCH 12-14
#ICTCM
Student CommentsWhat did you learn from the projects?
• How all the different lessons we’ve had culminate together to analyze a data set in depth….. I learned everything all over again with this project….. It was great review. I was able to understand and analyze all the data we collected…..
• We can apply stats to real life problems….. How to apply knowledge in real life scenarios….. I learned how statistics applies to the real world…. I learned how to apply the in-class concepts we learned onto real life statistics….. I learned more about the concepts we learned in class and how they relate to real world situations.
• That what you think would have a linear correlation end up not having a linear correlation… I learned the significance of having analysis done on data because before this class, I would see data like this and not understand what it meant….I learned a lot about different relations between two things and how it can impact society.
• It helped hit home the fact all we learned this semester is interconnected. I feel like I actually know, understand, and can use statistics because I had to learn to
Thank you for your time!