Math 106 - Exploring and Understanding Patterns, Functions and Modeling for Elementary Teachers

Course Objectives

  • Solve story problems using multiple strategies
  • Explain numerical and geometric patterns through words and symbols
  • Interpret graphs in multiple contexts
  • Understand the difference between arithmetic thinking and algebraic thinking
  • Make connections across multiple representations (graphs, tables, words, and algebraic expressions)
  • Describe real world situation through different types of functions (linear, quadratic, and exponential)
  • Understand the concept of mathematical model
  • Apply the modeling cycle to real-world situations
  • Communicate mathematical ideas and develop an ability to explain and justify their own reasoning
  • Examine how mathematical ideas are represented in multiple ways, in particular through the use of technology or hands-on manipulatives
  • Develop a familiarity with materials and methods that are consistent with current mathematics teaching approaches for algebra at the K-8 level

General Math 106 Information

The specific calendar & policy for your Math 106 section should be made available to you by your instructor.

The general policies and calendar can be found below.

 
Course Format and Teaching Methods:
  • This course explores algebraic thinking from early childhood through middle school, with a focus on the different conceptions of algebra, including generalized arithmetic; thinking in patterns and functions; and modeling. We will examine the different topics in K-8 algebra from an advanced perspective. MATH 106 is an activity-based course.
  • This course will approach mathematics with the idea that everything in mathematics makes sense, and that you (and your future students) are capable of understanding all of K-8 mathematics. The class is organized to provide a friendly, intimate, non-competitive atmosphere in which you can feel free to explore, discuss, and learn Mathematics in a small group situation.
  • You are expected to come to class prepared. Time in class will be spent primarily on working on and discussing problems and activities. 

  • Scientific or Graphing Calculator (TI-83 or TI-84 are recommended)
    • Students may purchase their own (new or used) or rent one from the UofA Library.
    • More calculator info can be found HERE.
  • Textbook:
    • Mathematics for Elementary Teachers by Michelle Manes
    • This is an online text, available free via D2L.
    • As a future teacher, you should become familiar (if you are not already) with the National Council of Teachers of Mathematics (NCTM). It is a wealth of resources.
  • Desmos Test Mode app:
    • free; download from your app store
  • Other tools/materials:
    • Ruler (cm and inches)
    • White board markers (any color)
    • Graph paper
  • Gradescope app:
    • free; download from your app store
    • Students need a way to scan and upload documents in PDF format (i.e. Gradescope, Adobe Scan, CamScanner, or Office Lens) On some phones, the built-in Notes app can scan to PDF.
  • Enrollment Requirements/Eligibility:
    • Students must meet eligibility requirements.
    • See the Math Course Placement Chart HERE.
Enrolled students can borrow technology from the UofA Library on a first-come, first-served basis.
More technology info and support for students can be found here.
 
Image
wildcat-statue

Need Help?

Our Support Center is a hub of quick information for everyone. Whether you're a current student, future student, Mathematics Department member, donor, or a curious member of U of A, you can find the information you're looking for below!

Support Center