*Quantitative Reasoning

Quantitative Reasoning in Lumen One can be customized for a variety of course designs including Math For Liberal and Quantitative Reasoning. The 20 modules cover a wide range of topics to accommodate a variety of course designs and gives you the flexibility to select and customize which topics best fit your institutional course goals and needs of your student population.

Students will engage with strategies to:

  • Apply quantitative reasoning skills with relevant, real-world scenarios
  • Relate mathematical thinking to career topics such as business, nursing, and finance 
  • Discover interdisciplinary connections between the visual and literary arts and mathematical concepts
  • Synthesize the importance of understanding mathematical critical thinking with politics, the arts, and business
  • Discover active learning in mathematics with problem-solving and decision-making opportunities

The course utilizes interactive content and practice with immediate feedback to maximize student understanding and retention. Every learning outcome includes practice questions that will help engage students to test their understanding. The instructor resources package is robust and includes easy-to-use, engaging slides, and in-class activities, with suggested modifications based on the modality of the course.

Backed by Learning Design

Combining the best features across Lumen, Lumen One is designed with learning tools and processes that better support learning and give every student the chance to succeed. With support from the Bill & Melinda Gates Foundation Lumen One was developed to promote equitable outcomes in gateway courses. Lumen One’s unique features are specifically designed to boost participation, engagement, and overall learning to ensure success for all students.

Highlights of Lumen One:

  • Tools to create and foster connection between faculty and students
  • A Faculty Engagement center that provides faculty with easy-to-access actionable data to enable timely interventions when students need it the most
  • Varied, relevant content designed to engage students
  • Personalized study plans with immediate feedback to reinforce strong study skills
  • Easy-to-use automated messaging tools to better support students
  • Supported peer community to provide students with meaningful help from subject matter experts and peers
  • Embedded resources to support faculty to use effective teaching practices and easily do their best work

 

Content

 

General Problem Solving  

  • General Problem Solving

Set Theory and Logic

  • Set Theory Basics
  • Logic Basics
  • Analyzing Arguments With Logic

Historical Counting Systems

  • Early Counting Systems
  • Positional Systems and Bases

Whole Numbers and Integers

  • Whole Numbers
  • Integers

Rational and Irrational Numbers

  • Classify and Convert Rational Numbers
  • Calculations Involving Rational Numbers
  • Irrational Numbers
  • Real Numbers

Numbers and Their Applications

  • Decimals
  • Percentages
  • Exponents and Scientific Notation
  • Algebraic Equations

Measurement

  • US Units of Measurement
  • Systems and Scales of Measurement
  • Dimensional Analysis

Geometry

  • Introduction to Geometry
  • Triangles
  • Area and Circumference
  • Volume and Surface Area

Functions

  • Function Basics
  • Linear Functions
  • Quadratic Functions
  • Polynomial Functions

Cryptography

Fractals

  • Fractal Basics
  • Fractals Generated by Complex Numbers

Graph Theory

  • Graph Theory Basics
  • Euler and Hamiltonian Paths and Circuits

 

Data Organization

  • Representing Data Graphically
  • Numerical Summaries of Data
  • Data Exploration

Probability

  • Computing the Probability of an Event
  • Applications With Probability

Statistics

  • Data Collection Basics
  • Sampling and Experimentation
  • Advanced Experimental Design

Introduction to Modeling

  • Linear and Geometric Growth
  • Modeling Basics
  • Modeling Linear Growth

Modeling Complex Scenarios

  • Logarithms and Logistic Growth
  • Modeling Exponential Growth
  • Modeling Logistic Growth

Advanced Data Interpretation

  • Complex Graphical Analysis
  • Improve Graphical Displays
  • Statistical Modeling

Personal Finance

  • Savings, Expenses, Budgets
  • Income Tax and Paycheck Deductions
  • Simple and Compound Interest
  • Annuities and Loans

Personal Finance – Common Scenarios

  • Credit Cards
  • Homeownership
  • Cars
  • Retirement Planning

Math in Politics

  • Voting Theory
  • Apportionment
  • Weighted Voting

Math in Arts

  • Perspective and Symmetry
  • Proportions and the Golden Ratio

Math in Arts – Common Scenarios

  • Math in Music
  • Math in Literature

Math in Business

  • Introduction to Business Math
  • Finance and Accounting
  • Marketing and Sales
  • Operations and Supply Chain
  • Math in Freelancing

 

Teaching with Lumen Course Materials

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  • Replace expensive textbooks | Ready-to-adopt open educational resources (OER) include text, videos, simulations, self-checks, and other interactives.
  • Choose affordability | Low cost to students.
  • Use better content | Continuous, data-driven improvements make OER content more effective at supporting learning.
  • Simplify access | Easy access to course materials in your LMS (Blackboard, Canvas, D2L, and Moodle) plus automatic grade return.
  • Improve student outcomes | Research shows Lumen course materials can improve academic performance, passing rates, and course completion.

FOR INSTRUCTORS

  • Connect with students | Instructor and student tools designed to help strengthen communication.
  • Save time | Start with curated, outcome-aligned OER and supplemental instructor resources like quiz banks, assignments, slide decks, etc. 
  • Customize your course | Freedom to tailor course content to fit your learning outcomes and instructional approach.
  • Enjoy awesome support | Faculty-friendly onboarding, training, and support. 
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FOR STUDENTS

  • Learn by doing | Online homework, self-check activities, and other interactive tools strengthen learning.
  • Engage from day one | Avoid falling behind with access to course materials from the first day of class.
  • Retain materials | Download a digital copy of course content to keep forever.
  • Become a better learner | Real-time feedback guides students on where to focus and how to improve.

Are you ready to get started with Lumen Learning digital courseware?

Great! Fill out our Explore a Course form, and our team will contact you promptly.