REGIONAL EDUCATIONAL LAB ~ APPALACHIA

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 2010 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. Agenda • Technology Issues • December Results & Fall Stipends • Mathematical Discourse • School Visits

4. Mathematical Literacy Strategies - Vocabulary Development - Writing to Learn - Reading to Learn - Academic Dialogue - Technology - Manipulatives - Modeling Sharing Strategies, Processes & Structures

5. 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.

6. 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? • What evidence of those conversations are you gathering to formatively assess student learning?

7. 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 Orchestrating 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

8. 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?

9. Walkthrough Indicators for School Visits;Standards for Providing Support • Content Standards • Classroom Instructional Practice • Classroom Technology Practice • On-line Student Interaction

10. Collegial Support http://www.kyvs.org/ Postings & Materials on Spotlight on Algebra http://67.202.209.114or http://kvhslive.wimba.com On-line discussions with colleagues http://hybridalgebra.wikispaces.com/ Postings, Materials, Discussions

11. Reminders • Office Hours; Monday (9-10 EST) & Tuesday (1-2 EST) • Help Line: • - Bb: 866-590-9240 • - KDE, Paula White: 502-564-4772(#4512), • paula.white@education.ky.gov • - KDE, Kari Welch: 502-564-4772 (#4501), kari.welch@education.ky.gov • - KDE, Grace Yeh: 502-564-4772 (#4537), • grace.yeh@education.ky.gov • - Identify yourself as COHORT III HYBRID ALGEBRA TEACHER • February 11, 2010, Thursday, 3:30 EST, On-Line Discussion: • Planning Hybrid Algebra instruction