N E P F Nevada Educator Performance Framework Southern Nevada Regional Professional Development Program www.rpdp.net Secondary Mathematics Standard 4 Part 1 TEACHER HIGH LEVERAGE INSTRUCTIONAL STANDARDS AND INDICATORS STANDARD 1 STANDARD 2 STANDARD 3 STANDARD 4 STANDARD 5 New Learning is Connected to Prior Learning and Experience Learning Tasks have High Cognitive Demand for Diverse Learners Students Engage in Meaning-Making through Discourse and Other Strategies Students Engage in Metacognitive Activity to Increase Understanding of and Responsibility for Their Own Learning Assessment is Integrated into Instruction Indicator 1 The teacher activates all students’ initial understandings of new concepts and skills Indicator 1 The teacher assigns tasks that purposefully employ all students’ cognitive abilities and skills Indicator 1 The teacher provides opportunities for extended, productive discourse between the teacher and student(s) and among students Indicator 1 The teacher and all students understand what students are learning, why they are learning it, and how they will know if they have learned it Indicator 1 The teacher plans on-going learning opportunities based on evidence of all students’ current learning status Indicator 2 The teacher makes connections explicit between previous learning and new concepts and skills for all students Indicator 2 The teacher assigns tasks that place appropriate demands on each student Indicator 2 The teacher provides opportunities for all students to create and interpret multiple representations Indicator 2 The teacher structures opportunities for selfmonitored learning for all students Indicator 2 The teacher aligns assessment opportunities with learning goals and performance criteria Indicator 3 The teacher makes clear the purpose and relevance of new learning for all students Indicator 3 The teacher assigns tasks that progressively develop all students’ cognitive abilities and skills Indicator 3 The teacher assists all students to use existing knowledge and prior experience to make connections and recognize relationships Indicator 3 The teacher supports all students to take actions based on the students’ own selfmonitoring processes Indicator 3 The teacher structures opportunities to generate evidence of learning during the lesson of all students Indicator 4 The teacher provides all students opportunities to build on or challenge initial understandings Indicator 4 The teacher operates with a deep belief that all children can achieve regardless of race, perceived ability and socio-economic status. Indicator 4 The teacher structures the classroom environment to enable collaboration, participation, and a positive affective experience for all students NEVADA EDUCATOR PERFORMANCE FRAMEWORK – IMPLEMENTATION PHASE 1 Indicator 4 The teacher adapts actions based on evidence generated in the lesson for all students Standard 4 Module for Mathematics Part I – What and Why Goal 1: What is Standard 4? Goal 2: What are the indicators for Standard 4? Part II – Implications for Mathematics Goal 3: What activities/instruction in the classroom would provide evidence of them? Goal 4: What specific plans can be designed to implement them? NEPF – Standard 4 Students Engage in Metacognitive Activity to Increase Understanding of and Responsibility for Their Own Learning Metacognition is an important-sounding word for a very everyday process. We ‘metacognize’ whenever we reflect upon our thinking process and knowledge. Do I really want that bar of chocolate? Do I want to go out tonight? Am I aiming at the basket accurately? Will I hit it? Metacognition Thinking about thinking. Or in our educational setting: Learning how to learn. Brief Intro to Metacognition http://www.youtube.com/watch?v=mVE21QhYlI&feature=youtu.be Dr. Josh Walker, from the Center for Teaching and Learning at The University of Texas at Austin, gives a brief preview of what learning scientists call metacognition -thinking about thinking 1:48 length Promoting Metacognition One of the first steps to teaching metacognition will be to teach students that their ability to learn is not a fixed capacity. Today’s Theory: Mindset Matters The distinguishing feature of geniuses is their passion and dedication to their craft, and particularly, the way in which they identify, confront, and take pains to remedy their weaknesses (Good, Rattan, & Dweck, 2008) IN OTHER WORDS: It’s not what you are born with that matters; it’s your mindset that matters. Brain Capacity is Dynamic The brain is like a muscle that gets stronger and works better the more it is exercised. Too often students believe the brain is static, leading them to think talent and giftedness are permanent, unchanging personal attributes that automatically bring later success. Every time you work hard, stretch yourself and learn something new, your brain forms new connections, and over time, you actually become smarter. What is metacognition? “Thinking about thinking” Knowledge and understanding of what we know and how we think, including the ability to regulate our thinking as we work on a task Planning What is the nature of the task? What is my goal? What kind of information and strategies do I need? How much time and resources do I need? Monitoring Do I have a clear understanding of what I am doing? Does the task make sense to me? Am I reaching my goals? Do I need to make changes? Evaluating Have I reached my goal? What worked? What didn’t work? Would I do things differently the next time? Research? 1. Knowledge of one’s capacity to learn 2. Knowledge about the nature of what is to be learned 3. Knowledge about the action one can take to aid one’s thinking (Flavell, 1979) Metacognitive students… 1. Understand themselves as learners 2. Understand a given task 3. Understand a variety of strategies and how to use them in a variety of situations. (Jetton & Dole, 2004) Why haven’t most students developed metacognitive skills? Metacognition is not often explicitly taught. It’s not just what you know—it’s what you know about what you know. Anytime a student learns, he or she has to bring in two kinds of prior knowledge: (1) knowledge about the subject (like math). (2) knowledge about how learning works. Teachers are pretty good at imparting the first kind of knowledge. We are comfortable with that. Research shows we are hit or miss with the metacognitve aspects of learning. Spectacle of Poor Metacognition We can witness people exhibiting poor metacognition on television. For example, America’s favorite spectacle of poor metacognition: American Idol! American Idol http://www.youtube.com/watch?v=lUyKpfbB9M8 Start at 1:55 – 3:02 How is it related to our study? Students, especially the weakest, have an inability to accurately judge their own level of skill or knowledge. Another Look at Poor Metacognition Dr. Stephen Chew, Samford University Created a set of Videos on “How to Get the Most Out of Studying” This excerpt is from Part 1 of 5 “Beliefs That Make You Fail…Or Succeed”. Dr. Chew shows results of comparing students’ estimate of their test grades with the actual grades. Show results graphically. (Students that are over-confident and under-prepared.) http://www.youtube.com/watch?v=RH95h36NChI&list=SP85708E6EA236E3DB Start at 3:58-6:04 Teacher and all students understand what students are learning, why they are learning it, and how they will know if they have learned 1 it. Teacher supports all students to take actions based on students’ own selfmonitoring processes. 3 NEPF Standard 4 Students Engage in Metacognitive Activity to Increase Understanding of and Responsibility for Their Own Learning Teacher structures opportunities for self-monitored learning for all students. 2 Indicator 1 How can teachers . . . and all students understand what students are learning, why they are learning it, and how they will know if they have learned it? What is meant by “students understand what they are learning, why they are learning it, and how they will know if they have learned it ”? How can teachers communicate…. • the learning goals? • performance criteria? • purpose of the lesson? Indicator 2 How can teachers . . . structure opportunities for self-monitored learning for all students? What is meant by “opportunities for selfmonitored learning”? How do teachers … • get students to be reflective about their own thinking? • structure opportunities for students to be reflective about their own thinking? • provide instruction to students in self-monitoring strategies? • provide self-reflection tools for students to use? Indicator 3 How can teachers . . . support all students to take actions based on students own selfmonitoring processes? What is meant by “actions based on self-monitoring”? How can teachers … • provide time for student strategy use? • talk to students about what/why they are doing the lesson? • discuss with students what to do next? • provide time for students to share strategies with classmates? • suggest actions students may include/use? • get students to revise their learning strategies based on their own evaluation of how they are progressing? Summary NEPF – Standard 4 Students Engage in Metacognitive Activity to Increase Understanding of and Responsibility for Their Own Learning Next Steps . . .Part 2 • What are some current learning activities that can be altered to effectively implement this standard? • What might this look like in your classroom? • Where will evidence of Standard 4 be found in our individual practice? • How might effective implementation of Standard 4 affect student outcomes? For additional NEPF resources rpdp.net Select NEPF Secondary Math