Research-Based Strategies Category Ave. Effect Size (ES) Percentile Gain Identify similarities & differences 1.61 45 Summarizing & note taking 1.00 34 Reinforcing effort & providing recognition .80 29 Homework & practice .77 28 Nonlinguistic representations .75 27 Cooperative learning .73 *Setting objectives & providing feedback* .61 23 Generating & testing hypotheses Questions, cues, & advance organizers .59 22

Essential Knowledge Strategy: Blind Sequencing Learning Process: Cooperative Learning Learning Process: Communication Visualization Collaboration

Rigor… with Nurturing!

Read carefully and follow directions. SHOW YOUR WORK. A pilot wanted to know how many kilometers she flew on her last 3 flights. From NYC to London she flew 5,572 km. Then, from London to Beijing she flew 8,174 km. Finally, she flew 10,996 km from Beijing back to NYC. Round each number to the nearest thousand, then find the sum of the rounded numbers to estimate about how many kilometers the pilot flew. Mrs. Smith’s class is learning about healthy eating habits. The students learned that the average child should consume about 12,000 calories each week. Kerry consumed 12,748 calories last week. Tyler consumed 11,702 calories last week. Round each to the nearest thousand to find who consumed closer to the recommended number of calories. Use pictures, numbers, and words to explain. The cost of tuition at Cornell University is 43,000 per year when rounded to the nearest thousand. What is the greatest possible amount the tuition could be? What is the least possible amount the tuition could be? A teacher asked her students to use estimation to decide if the sum of the problem below is closer to 4,000 or 5,000. 496 + 1,404 + 2,605 + 489 = One student replied that she thinks the sum is closer to 4,000. She used the estimation shown below to support her reasoning: 0 + 1,000 + 3,000 + 0 = 4,000 Is the student’s reasoning correct? Use numbers and words o explain why or why not. If incorrect, explain a correct method. 1 2 4 3

Thinking Goes to School Three people want to sail from one island to another. They can’t swim but they do have a boat. Their boat can hold 180 pounds. One person weighs 180 pounds. The other people weigh 90 pounds each. How can all three get to their destination? Suggestion: Consider using a drawing to think it through. Enjoy!

Assessing for Conceptual Understanding (These are…These are not) Helping Students Develop Understanding Assessing for Conceptual Understanding (These are…These are not) Suggestion from Research: Open (begin) with the rigor… …but rather than rigor…scaffold the experience for students to foster rigor with nurturing…

page 8 If you want a learner to truly understand and own essential knowledge, expand your exploration from ‘what it is’ to also ‘what it is NOT’.

Assessing for Conceptual Understanding (These are…These are not) Helping Students Develop Understanding Assessing for Conceptual Understanding (These are…These are not) Suggestion from Research: Open (begin) with the rigor… …but rather than rigor…scaffold the experience for students to foster rigor with nurturing…

page 8 If you want a learner to truly understand and own essential knowledge, expand your exploration from ‘what it is’ to also ‘what it is NOT’.

Key Strategies MATH AS THINKING! CONCRETE PICTORIAL ABSTRACT   Key Strategies CONCRETE PICTORIAL ABSTRACT VISUALIZATION MATH AS THINKING!

Exploring with PATTERN BLOCKS RBIS Present math activities in context

Pattern Blocks Last Shape in Wins How can you make the experience deeper for students?

Norfolk Public Schools page 14 Norfolk Public Schools

page 13

ORGANIZATION

Glossary in the back of the notebook for Essential Vocabulary Word Page # My Description Example or Picture Lateral Height Line of Symmetry Median Meter

Thank you for your commitment to children! "It's your attitude, not just your aptitude that determines your ultimate altitude." --Zig Ziglar  Dan