1. REGIONAL EDUCATIONAL LAB ~ APPALACHIA The Effects of Kentucky Virtual High School’s Hybrid Course in Algebra I on Teaching Practices, Classroom Quality, and Adolescent Learning On-Line Collaboration January 2009 Series Mathematical Discourse & Classroom Visits

2. GOALS FOR ON-LINE COLLABORATION On-line Collaboration using Horizon Wimba: Share teaching strategies/resources, Discuss planning instruction, Analyze student work, Share formative and summative assessment instruments/strategies that move learning forward, Provide instructional structures where “feedback is focused on how students can improve related to learning goals,” Others as defined by teachers and as need to address issues in the field – including new learning that promotes student achievement.

3. NUTS & BOLTS  Technology Issues  Control Panel Hints  December Results  School Visits

4. Walkthrough Indicators for School Visits  Content Standards  Classroom Instructional Practice  Classroom Technology Practice  On-line Student Interaction

5. SHARING STRATEGIES, PROCESSES, & STRUCTURES  Mathematical Literacy Strategies - Vocabulary Development - Writing to Learn - Reading to Learn - Academic Dialogue - Technology - Manipulatives - Modeling

6. NCTM’s Communication Principle The Council's Principles and Standards for School Mathematics (2000) states that communication should be nurtured and that math instruction should enable all students to –Organize and consolidate their mathematical thinking through communication. –Communicate their mathematical thinking coherently and clearly to peers, teachers, and others. –Analyze and evaluate the mathematical thinking and strategies of others. –Use the language of mathematics to express mathematical ideas precisely.

7. WHAT DOES THE RESEARCH SAY REGARDING MATHEMATICAL DISCOURSE? From the article that you read: What is a new insight you garnered from the reading? What is one thing that connects with, or makes sense to you, regarding best practices that are standards for the Algebra I Hybrid Study?

8. Strategy Integration What strategies do you currently use to encourage student dialogue? How do we create opportunities for students to have mathematical conversations about the content from the computer/virtual environment?

9. ARTICLES ANALYZING CLASSROOM DISCOURSE TO ADVANCE TEACHING AND LEARNING,ASCD A WRITING WORKSHOP IN MATHEMATICS COMMUNITY PRACTICE OF CONTENT DISCOURSE, NCTM INQUIRY DISCOURSE MATHEMATICS INSTRUCTION, NCTM LESSONS FROM MR LARSON AN INDUCTIVE MODEL OF TEACHING FOR ORCHECTRATING MATHEMATICAL DISCOURSE, NCTM LET'S TALK PROMOTING MATHEMATICAL DISCOURSE IN THE CLASSROOM, NCTM MAKING THE MOST OF MATHEMATICAL DISCUSSIONS, NCTM MATHEMATICAL DISCOURSE ITS LIKE HEARING A FOREIGN LANGUAGE, NCTM NEVER SAY ANYTHING A STUDENT CAN SAY, NCTM TEACHER ORCHESTRATED CLASSROOM ARGUMENTS, NCTM USING MATHEMATICAL DISCOURSE TO SUPPORT LEARNING STATISTICS, NCTM

10. SHARING STRATEGIES, PROCESSES, & STRUCTURES (continued)  Formative or Summative Assessments Created and Used  Instructional Issues or Barriers You Are Facing or Encountering  Shared Experiences and/or Suggestions from Colleagues (Community of Learners)  Processes, Structures, and/or Lessons that Promote Student Achievement  Others

11. COLLEGIAL SUPPORT http://www.kyvs.org/ Postings/Materials on SPOTLIGHT on ALGEBRAhttp://www.kyvs.org/ http://67.202.209.114http://67.202.209.114 or http://kvhslive.wimba.com On- Line Discussions with colleagues http://hybridalgebra.wikispaces.com/ http://hybridalgebra.wikispaces.com/ Postings, Materials, Discussions

12. Reminders  Office Hours (Mondays & Tuesdays)  Help Line: - Bb: 866-590-9240 - KDE, Paula White: 502-564-4772(#4512) paula.white@education.ky.gov - KDE, Kari Welch: 502-564-4772 (#4546) - for STUDENT & TEACHER ENROLLMENTS kari.welch@education.ky.gov kari.welch@education.ky.gov - KDE, Grace Yeh: 502-564-4772 (#4537) – for TECHNICAL SUPPORT grace.yeh@education.ky.gov - Identify yourself as HYBRID ALGEBRA I TEACHER, COHORT II  February 23 RD, 25 TH,26 TH On-Line Collaboration