Main sources of evidence include: Mandatory Direct evaluator observation Plus at Student classroom interviews Student work Student feedback (e.g., survey, writing) Teacher notes Standard 2: Learning tasks have high cognitive demand for diverse learners Standard 2 Module for Mathematics Part 1 – What and Why Goal 1: What is Standard 2? Goal 2: What are the indicators for Standard 2? Part 2 – Implications for Mathematics Goal 3: What activities/instruction in the classroom would provide evidence of this standard? Goal 4: What specific plans can be designed to implement this standard? NEPF: 5 High Leverage Instructional Standards and Indicators Animal School http://www.youtube.com/watch?v=QJeyNywDxPc Demonstrating Evidence LOOK FORS LISTEN FORS In teacher planning: What are the understandings teachers have about their students that guide the planning of lessons? In class (teacher talk): How are students engaged according to the indicators? In student work: What is the quality and depth of the work students are doing in the lesson? In class (student talk): How are students interacting, responding and engaged in the tasks and activities? Historically…. ….teachers have used a one-size-fits-all approach to deliver instruction. Every student heard and did the same thing. C:\Users\SNRDPD\AppData\Local\Microsoft\Windows\Temporary Internet The Learning Pyramid Teach Others Lecture Practice Doing Discussion Demonstration Learning Pyramid Let’s take a look at research-based strategies that are used in classrooms and see how they affect our students’ memory retention rates. C:\Users\SNRDPD\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\S4HU3KOT\MP900403304[1].jpg Today . . . Effective teachers must adjust to address student differences. We must design tasks and implement research-based strategies that motivate all students to learn and maximize student achievement. C:\Users\SNRDPD\AppData\Local\M icrosoft\Windows\Temporary Internet Files\Content.IE5\GKYZZCSG\MP90 0431167[1].jpg Discussion Teaching Others Lecture Demonstration Audiovisual Reading Practice While the standard is not negotiable, the road to it is. Internet Files\Content.IE5\3IFT6H01\MC910217208[1].wmf Small changes may have… great impact on learning! How do we design instructional strategies (learning tasks) in a way that we create high cognitive demand for diverse learners? C:\Users\SNRDPD\AppData\Local\M icrosoft\Windows\Temporary Internet Files\Content.IE5\2G788O20\MC90 PROCESS/ACTIVITIES: Strategies through which students makes sense of understandings and skills PRODUCTS: How students demonstrate and extend what they have learned LEARNING ENVIRONMENT: Varied resources and flexible grouping structures Based on the student’s . . . READINESS: Pace of learning, dependence on the teacher or independence INTERESTS: What the students enjoy LEARNING PROFILE: Learning preference, multiple intelligence preferences C:\Users\SNRDPD\AppData\Local\M icrosoft\Windows\Temporary Internet Files\Content.IE5\KI344HCN\MC90 0300920[1].wmf Let’s Look at Alternative Avenues for Active Learning Teach Others Lecture Practice Doing Discussion Demonstration Audiovisual Reading Passive Learning Active Learning Cooperative learning activities Peer Teaching Explaining concepts Projects Demonstrating solutions Alternate avenues: Mix whole group/small group/independent instruction Use learning modes varied ability groups to reteach ideas different learning styles CCSS Mathematical Practices Provide activities that have students… Identify similarities and differences Summarize and take notes Create visual representation Use cooperative learning Apply graphic organizers and cues Alternate avenues: (continued) C:\Users\SNRDPD\AppData\Local\M icrosoft\Windows\Temporary Internet Files\Content.IE5\KI344HCN\dglx asset[1].aspx Modify by giving students choice where possible Journal topics/writing topics Varied graphic organizers Working alone or together Tiered assignments/assessment Centers/stations Projects Student presentations Games   Explore specific activities that allow choices: Menus Tic Tac Toe RAFT Jigsaws . . . See Resources List C:\Users\SNRDPD\AppData\Local\Microsoft\Windows\Temporary Strategies Unique solution Various solutions Given conditions Given conditions “Traditional” “Open Middled” “Open ended” rpdp-logo.tif rpdp-logo.tif For additional NEPF resources rpdp.net Select NEPF Nevada Academic Content Standards include the Standards for Mathematical Practice 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Rewriting Questions A total of thirteen bicycles and tricycles traveled past my window today. Together they had a total of 31 wheels. How many were bicycles and how many were tricycles? I saw at least one bicycle and at least one tricycle travel past my window today. I saw 31 wheels altogether. What are some combinations of vehicles that might have passed by my window? C:\Users\SNRDPD\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\CE8RTWVS\MC900383744[1].wmf C:\Users\SNRDPD\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\S4HU3KOT\MC900413474[1].wmf Rewriting Questions Jack bought these items at the grocery store: 1 loaf of bread much did the purchase cost? Jack needs bread, apples, and cat food. Bread costs $1.26 per loaf, apples cost $0.59 per pound, and cat food costs $0.33 per can. Jack only has $10.00. What are some combinations of purchases that Jack can make? C:\Users\SNRDPD\AppData\Local\M icrosoft\Windows\Temporary Internet Files\Content.IE5\LDX8BB6I\MP90 0422831[1].jpg C:\Users\SNRDPD\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\LDX8BB6I\MP900422831[1].jpg Resources for NEPF Standard 2 can be found at www.rpdp.net Math > High School or Middle School Take a moment… Think of one change you could make that would incorporate more “Active Learning”. Part 2 Secondary Mathematics 0434927[1].png http://search.yahoo.com/search;_ylt=AgI4hVeoMI8XJUFpiba4bU.bvZx4?p=fun+theory&toggle=1&cop=mss& ei=UTF-8&fr=yfp-t-171 Files\Content.IE5\CIEDV5B9\MP900448515[1].jpg C:\Users\SNRDPD\AppData\Local\M icrosoft\Windows\Temporary Internet Files\Content.IE5\CIEDV5B9\MP90 0448347[1].jpg OUR TEACHER HAS AN INTERESTING THEORY…. HE SAYS TEACHING IS LIKE BOWLING C:\Users\SNRDPD\AppData\Local\Microsoft\Windows\Temporary Internet Files\Content.IE5\KUNKVV8D\MC900335800[1].wmf ALL YOU DO IS ROLL THE BALL DOWN THE MIDDLE AND HOPE YOU AFFECT MOST OF THE STUDENTS HE MUST BE A TERRIBLE BOWLER! the top of the pyramid. Place the most effective teaching method at the base of the pyramid.