*Quantitative Reasoning

Appropriate for courses in Quantitative Reasoning, Math for Liberal Arts, and Quantitative Literacy.

Lumen’s new Quantitative Reasoning course will be delivered in Lumen One, a new platform that brings together the best of Lumen’s teaching & learning solutions including a full suite of professional development resources to support evidence-based teaching.

This easy-to-implement course offers faculty a wide range of topics to accommodate a variety of course structures, including corequisite. With a strong focus on active learning; problem-solving and decision-making opportunities are placed front and center to engage students and foster dynamic discussions. Real-world applications enable students to apply concepts and tie them back to their lives and careers. Concepts are presented to students in smaller, easy-to-comprehend chunks for complete mastery.

Highlights of this course:

  • Comprehensive: 20 modules covering a wide range of topics to accommodate a variety of course structures and focuses.
  • Actionable Insights: Learning outcome-aligned assessments guide students and faculty in identifying areas of challenge.
  • Relatable Voice: Complex Math topics are broken down into bite-sized chunks with everyday language to give students better comprehension.
  • Real-World Applications: Relevant and engaging content with real-world applications relating math to career topics such as business, nursing, finance, and visual and literary arts.
  • Equity-Centered: Paired with a powerfully designed courseware platform that puts equity at the center of its design to ensure success for all students.

Designed to Support Equity

Combining the best features across Lumen, Lumen One is the first courseware product built with a focus on equity. 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?

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