Active Learning Approaches to Teaching Mathematics Content Courses for Elementary and Middle-School Teachers Home Page
Laurie Burton, Maria Fung
July 7-11, 2003
Western Oregon University, Monmouth, Oregon

WORKSHOP AGENDA

This PREP workshop is made possible by the NSF grant DUE: 0089005
MONDAY: ALGEBRA THEME
Welcome: Laurie Burton, Maria Fung & Sandy Kralovec
  • Pick up Mathematics Education Resource Notebook
BURTON: Introductory Hands-On Algebra Activities
  • Multiplication of Integers
  • Toothpick Patterns
  • Tile Patterns
Ideas from College Algebra for Teachers course
BURTON: Video Vignette: College Algebra for K - 8 Teachers
  • Using Black and Red Tiles in Arrays
BURTON
  • Participants design Pattern Generation Algebra Activity using MME resources
BURTON
  • Participants share their morning activities with the other groups
BURTON: Abstract Algebra Course Design
  • Exploring the Definition of a Group
  • Working with Group Properties in a Variety of Settings
Ideas from Abstract Algebra for Teachers course
BURTON: Video Vignette: Abstract Algebra for K - 8 Teachers
  • Discovering the Definition of a Group
BURTON: Math Art Posters and Clock Arithmetic
  • Math Art Posters / Cayley Quilts Activity
BURTON: Assessment Techniques
  • College Algebra & Abstract Algebra
TUESDAY: GEOMETRY THEME
FUNG: Geometry Activities
  • Exploring Reflections with Mirrors and Pattern Blocks
  • Reflections via Paper Folding
  • Visual Approaches to the Pythagorean Theorem
FUNG: Video Vignette: Geometry for K - 8 Teachers
  • Class Explorations of the Pythagorean Theorem
FUNG
  • Participants design Tessellation Activities using Resources from Portland State and the Bennett/Nelson Activity Book
FUNG: Geometer's Sketchpad Activities
  • Tessellations
  • Glide Reflections
  • The Pythagorean Theorem
  • Transformations
  • The Golden Rectangle
FUNG
  • Participants design & share GSP Plane Isometry Activities using "Exploring Geometry with GSP" and "Geometry Activities for MS Students with GSP"
FUNG: Assessment Techniques
  • Geometry for K - 8 Teachers
WEDNESDAY: ASSESSMENT THEME
KRALOVEC: National and State Assessment
KRALOVEC: Scoring Guides and Their Uses
KRALOVEC
  • Participants design scoring guides focused on problem solving
KRALOVEC: Problem Solving Activity/Poster Making
  • Juice Problem from Connected Math and the NCTM
KRALOVEC
  • Participants share & assess created posters
KRALOVEC: 7th Grade Student and In-service Teacher Work Samples
  • Participants discuss the mathematics and assessment techniques that teachers need to know to teach these types of problems
BURTON: Learning to Explain: Writing & Peer Review Techniques
FUNG: What Makes Good Problem Solving

Ideas from Problem Solving course
BURTON, FUNG & KRALOVEC
  • Participants design Writing Activity using Figurate Numbers as the focus
KRALOVEC
  • Participants share participant designed Writing Activities
KRALOVEC: Self-Reflection
KRALOVEC: How do you turn Assessment into Grades?
THURSDAY: PROBABILITY & STATISTICS THEME
FUNG: Probability Activities
  • Checkerboard Games
  • Non-transitive Dice Simulation
  • The Good, the Bad and the Ugly
FUNG: Video Vignette: Probability and Statistics for K - 8 Teachers
  • Final Projects
FUNG
  • Participants design probability Lesson Plans using Portland State and Workshop Statistics materials
FUNG: Introduction to Fathom: Excerpts from Statistics Labs for K - 8 Teachers
FUNG: Participants design a lesson plan for Statistics using Fathom
FUNG: Assessment Techniques: Probability and Statistics
FRIDAY: NUMBER SENSE THEME
BURTON: Manipulative Activity Stations(Excerpts from "Manipulatives" course:
Area Measurement of Non-Standard Shapes
Participants select a topic suited to their interests and needs, and complete a class plan appropriate for the college classroom. Each plan will include effective use of visual models or manipulatives, problem-solving activities, detailed assessment goals and class objectives.
Presentation and discussion of participant-created class plans with the cohort
Discussion of follow-up activities and session at the Joint Winter Math Meetings, Winter 2004

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