1. Common Core Standards UMath X Address The Common Core Steps in Professional Learning

2. 5 Steps in Professional Learning ● Model Digital Learning ● Model Blended Learning in 3 part lessons ● Model RtI with a “Smarter, Not Harder” Approach ● Working In It ● In Summary

3. Professional Learning - K to 4 A “Smarter, Not Harder” Blended RTI Model. Build, Draw, Talk, Write, then OWN NUMERATION Dr N. Beights Math Supervisor (retired) – Collier County, Florida R. Neufeld Senior Author - UMath X This Session will: ●model a “Smarter, Not Harder” blended learning approach to understand numeration - counting, place value, operations, fractions.

4. Professional Learning - gr 5 to algebra 1 Proportions and Fractions in a “Smarter, Not Harder” Blended RTI Approach. Dr N. Beights Math Supervisor (retired) – Collier County, Florida R. Neufeld Senior Author - UMath X This Session will: ●model a “Smarter, Not Harder” blended learning approach to understand fractions and proportions. ●model lessons for RTI and STEM on multiplying and dividing fractions, estimation, scale drawing, similar triangles and linear relations for content and instruction.

5. PART 1: Model Digital Learning ●is the 10 th version of “Understanding Math”. ●blends a digital approach and resources aligned to many curricula for k to algebra 1. ●models strategies in scaffolded learning environments: - to build the math capacity of students. - to provide individual progress monitoring. - to support the professional learning of the teacher.

6. Frameworks for Learning ● 3 Part Lessons ● Start - Work at it - Reflect Digital Learning Principles ●move from concrete to pictorial to abstract ●multiple representations ●interactivity and audio ●mistake is an opportunity to learn ●pacing is controlled by the learner ●learning is scaffolded

7. For a GLIMPSE, now LOG into UMath X Use any browser & Key in the URL … www.neufeldlearning.com/preview (or one that has been given to you) Generic Username Login is … student Generic Password is … studentpwd

8. Try this path. Note the Digital Learning Principles

9. Try this path.

11. The UMath X Menu is converted into the CCSS Menu. Try one of these paths. For each use 2 menus... UMath X & Common Core K.OA.01.05 Operation - 5.) Demonstrate Addition Facts - Making 5 3.NF.01.01 Fractions – The Meaning of Fractions – Introduction.. Think, Write, Say – Circles 7.RP.01.02c Fractions – Ratio and Proportions – Ratio Table – Ex 4 Try this path…

12. Frameworks for Learning ●3 Part Lessons ●Model Implementation of UMath X Audio - Click under first letter in sentence. PART 2: Model Blended Learning Frameworks for Learning - Fraction Parts of a Tangram Offer many approaches - computer - manipulatives - paper (see framework) (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/

13. (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/ (http://www.neufeldlearning.com/preview/)http://www.neufeldlearning.com/preview/ TRY THE PATH BELOW … Note - 2 menus

14. (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/ (http://www.neufeldlearning.com/preview/)http://www.neufeldlearning.com/preview/ Frameworks on PaperLessons on Computer Try the path below.. 2 menus Also find the framework.

15. Access to UMath X Generic Login.. student Generic Password.. studentpwd Access to Frameworks ( http://www.neufeldlearning.com/frameworks/) http://www.neufeldlearning.com/frameworks/ Blended Learning ( http://www.neufeldlearning.com/preview/) http://www.neufeldlearning.com/preview/ 7.RP.01.02c Fractions – Ratio and Proportions – Ratio Table – Ex 4 (Framework: Ratio Tables – Pet Store) Try the path below.. 2 menus Find Framework

16. (Modified to Accommodate Learning) PART 3: Model RtI withTiered Frameworks Example: Access CCSS Menu - 7.G.02.06.. (next slide)

17. Example: Access CCSS Menu - 7.G.02.06.. 3 part outlines on 2 pages..on computer

18. Tiered Frameworks… online”

21. Build it.. Draw it.. Talk it.. Write it.. then.. OWN IT! PART 4: Working In It.. K to 5

22. Find Frameworks at for each of these 6 stations. Some frameworks are tiered. Within your group: ●work though tiered framework ●discuss content ●discuss instruction Model Differentiated Instruction Fraction Introduction Equivalent Fractions Decimals to Tenths, Hundredths Adding Fractions (http://www.neufeldlearning.com/preview/)http://www.neufeldlearning.com/preview/ (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/ Multiply Proper Fractions Subtract with Regrouping & VerticalSubtract

23. Below are Paths for Some Stations in Previous Slide. Each path has.. 2 menus and frameworks. (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/ (http://www.neufeldlearning.com/preview/)http://www.neufeldlearning.com/preview/

24. Proportions in a “Smarter, Not Harder” Blended RTI Approach PART 4: Working In It.. gr 6 to Alg 1

25. Model Differentiated Instruction Ratio Tables Introduction Similar Triangles Slope Estimation Using Proportions Proportion Scale Drawing Graphs with/without A Scale (http://www.neufeldlearning.com/preview/)http://www.neufeldlearning.com/preview/ (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/ Linear Relation Elastic /Walker Find Frameworks at for each of these 6 stations. Some frameworks are tiered. Within your group: ●work though frameworks ●discuss content ●discuss instruction

26. Below are Paths for Some Stations in Previous Slide. Each path has.. 2 menus and frameworks. (http://www.neufeldlearning.com/preview/)http://www.neufeldlearning.com/preview/ (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/

27. A Student is Tested. A student logs in and clicks on the test icon.(see above) The Test Selection Menu will appear. Click on the Curriculum tab. The following appears. Click on.. 5th Grade.. and select one of the domains.. Numbers & Operations - Fractions

28. At the end of the test, a Summary Page appears. Above is part of a possible Summary Page. The student clicks on item 14. The student receives information below. Learning from Result

29. PART 5: In Summary Teachers School Leaders ParentsCurriculum Students

30. Change the Mindset Remember How Understand Why..to..

31. Watch Less. Do More! Instructional Paradigm Shift

32. “Active learning practices have a more significant impact on student performance than any other variable. Dr. Brigid Barron and Dr. Linda Darling-Hammond, Stanford University Teaching for Meaningful Learning: A Review of Research on Inquiry-Based and Cooperative Learning

33. Good Mathematics... … is what you do when you don’t know answers. ●more than “persevering” ●more than “engaging” ●is “productive” struggling … is … “GRAPPLING” ie … in competition with oneself.

34. Show me another way? Effective Questions Productive Math Talk Moves How are these same/different? What would you do if…? Why did you…? What else could you have done? Revoicing Repeating Reasoning Adding On Waiting Students articulate their own ideas and consider peer perspectives as a way to construct understandings.

35. Parent Expectations Go Deep to Understand Unpack the Math Teach in New Ways Lead to Understand Broad Ability Ranges Differentiate The Teacher is the KEY

36. Role of the School Leader Support Teachers Teach for Understanding Answers are Important but Not Sufficient Communicate with Parents Teachers do not provide all answers. Students are encouraged to “Grapple”

37. In Preparation for your First Class ●Access to UMath X.. see slide 7 www.neufeldlearning.com/preview ●Go to www.neufeldlearning.comwww.neufeldlearning.com - see 2 videos.. Navigation / Frameworks ●Professional Learning Options: 1 - handson workshop or personal Skype session. 2 - http://www.neufeldlearning.com/files/UMathX-BlendedLearning-CCSS.pptxhttp://www.neufeldlearning.com/files/UMathX-BlendedLearning-CCSS.pptx ●Contact: 1 866 429 6284 - Dr N. Beights.. nancybeights@gmail.com - R Neufeld.. rneufeld@neufeldlearning.com http://www.neufeldlearning.com/files/UMathX-BlendedLearning-ChangingTheClassroom.pdf Call or Email