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
Rituals and Routines What is the teacher’s role in teaching mathematics? How can teachers use students’ misconceptions as a pathway for learning? How do the rituals and routines of Math Navigator Common Core benefit students? Big Questions
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)
Navigating a Lesson
The Lesson Cycle
The Teacher’s Role
The Lesson Cycle
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. 2012f, 38) (Pearson Education, Inc. 2012c)
Show Me What can you learn about students who can answer all of the questions correctly or most correctly? What can you learn about those who struggle with the problems? What misconceptions might you be dealing with in this lesson? How might this information cause you to adapt your instruction?
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)
Identifying Student Misconceptions
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?
Reflecting on the Lesson
College and Career Readiness, the Practices, and Math Navigator Common Core #30 How does Math Navigator Common Core help students become college and career ready and meet the expectations of the CCSSM? Big Question
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