400 likes | 583 Vues
WELCOME Math Navigator and Focus Math. Your Guide: Paula Jones. Today’s Focus. Understand the philosophy, components and lesson design for: Math Navigator Focus Math. Welcome!. Your Guide: Paula Jones. What do you already know about Math Navigator?. Math Navigator.
E N D
WELCOMEMath Navigator and Focus Math Your Guide: Paula Jones
Today’s Focus Understand the philosophy, components and lesson design for: • Math Navigator • Focus Math
Welcome! Your Guide: Paula Jones
Math Navigator • Deepens students’ knowledge of critical mathematics concepts • Closes the gaps in students’ understanding • Repairs students’ misconceptions • Develops essential mathematical practices.
Scaffolding Instruction Scaffolding is breaking up the learning into chunks and then providing a tool, or structure, with each chunk. —Alber (2011)
Components • 26 Modules • Teacher Edition • Show Me Cards • Student Edition • Study Cards • 30-45 minutes / lesson • 20 days / module
Math Navigator • Does NOT repeat initial teaching • Is NOT remedial in nature Instead the program focuses on…. • Revising misconceptions • Helping students reconstruct their conceptual framework
Math Navigator • uses students’ prior knowledge and focuses on and fixes misconceptions that students have developed • targets specific mathematical concepts—in particular those that cause students the most difficulty • takes an algebraic approach to reviewing arithmetic • creates a language-rich environment • does not just fill content gaps, but also teaches students to be better learners of mathematics
Six Principles of Effective Intervention • Targeted Concepts • The Algebraic Structure of Arithmetic • Prior Knowledge • The Language-Rich Environment • Better Learners of Mathematics • Instructional Support (America’s Choice n.d., 2–10)
Show Me The Show Me section • can be at the beginning or end of a lesson • uses Show Me Cards and questions • can be used as an informal assessment • 5 minutes • Note: you may not get through all the Show Me Cards
Show Me (Pearson Education, Inc. 2012c) (Pearson Education, Inc. 2012f, 38)
Setting the Direction (Pearson Education, Inc. 2012g, 10)
Presenting the Task (Pearson Education, Inc. 2012e, 60)
Solo and Partner Work (Pearson Education, Inc. 2012e, 60)
Probing for Understanding • How do students currently present their work? • What do you ask students to present? • What are the benefits? • What can you do to probe deeper into students’ thinking?
Probing for Understanding QUESTION
Questions to Probe for Understanding • Does that make sense mathematically? • Why does that make sense mathematically? • Why do you want to make ten? • Why can you change the order?
College and Career Readiness, the Practices, and Math Navigator Common Core #30 Big Question How does Math Navigator Common Core help students become college and career ready and meet the expectations of the CCSSM?
Math Navigator Common Core and the Standards for Mathematical Practice (McCallum 2011)
Assessing Student Progress (Pearson Education, Inc. 2012d 1, 70)
Using Data from Assessment and Reporting Online System (ARO) Reports