Exploring and Understanding Patterns, Functions and Modeling for Elementary Teachers
Upon completion of this course students should be able to:
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
The following course materials are required for Math 106:
Students may use either a Calculator or the Desmos app
Geometry Tool: ruler (cm and inches)
Other recommended, but not required, materials:
Pencils, colored pencils, markers, graph paper, scissors, eraser and/or whiteout
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.