1. Common Core Standards UMath X Address Ontario Expectations Introduction http://www.neufeldlearning.com/files/UMathX-BlendedLearning-ChangingTheClassroom.pdf

2. Outline ●Model Digital Learning -slide 3 - video & access - methods - Within UMath X Menu - Within CCSS Menu ●Model Blended Learning -slide 16 - frameworks for learning model implementation ●Model Tiered Learning -slide 22 - strategies to accomodate learning ●Model Professional Learning in K to Alge1 -slide 27 - handson ●Assessment -slide 33 - data module - depth & flexibility ●The Learning Environment -slide 35 http://www.neufeldlearning.com/files/UMathX-BlendedLearning-ChangingTheClassroom.pdf

3. Model Digital Learning ●is the 10 th version of “Understanding Math”. ●blends a digital approach and resources aligned to many curricula for k to 10. ●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.

4. Frameworks for Learning ● 3 Part Lessons ● Start - Work at it - Reflect Digital Learning Principles ●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 Use any browser & Key in the URL www.neufeldlearning.com Play the NLS Video - UMath X Navigational Tutorial

5. For a GLIMPSE, now LOG into UMath X Use any browser & key in the URL … www.neufeldlearning.com/preview/ Generic Username Login … student Password … student2015 or Generic Username Login … teacher Password is … teacher2015 Later, we can also log in as: Principal and/or District Leader

6. Try this path & Note the Digital Learning Principles CLICK

7. Try this path & note the Digital Learning Principles.

8. Try this path.

10. www.neufeldlearning.com/preview

11. CLICK The UMath X menu is based on a CONCEPTUAL FOCUS. It allows student and teacher to follow a CONCEPTUAL PATH rather than an often disjointed grade focus. It is flexible in that one can focus on concepts in a certain grade and conceptual scaffolding over a number of grade levels.

14. CLICK

15. Hence one can reach a particular lesson in 2 ways: 1.through the UMath X menu 2.through the Ontario Expectations menu

16. Model Blended Learning Frameworks are … 3 Part Lessons to Model Implementation of UMath (http://www.neufeldlearning.com/preview/http://www.neufeldlearning.com/preview/ (http://www.neufeldlearning.com/frameworks/http://www.neufeldlearning.com/frameworks/

17. Find and print the framework below: Find and select it at … (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/

18. Find and Print a Framework: Method 1: Find and select it at … Method 2: Select K.NSN.03.12 from the Ontario Expectations Menu & click on “Frameworks” Find & select the appropriate framework below. (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/ (http://www.neufeldlearning.com/preview/http://www.neufeldlearning.com/preview/

19. Frameworks (3 Part Lessons for Blended Learning) (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/

20. Frameworks (3 Part Lessons for Blended Learning) (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/

21. Frameworks (3 Part Lessons for Blended Learning) (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/

22. (Strategies to Accommodate Learning) Model RtI with Tiered Frameworks (http://www.neufeldlearning.com/frameworks/)http://www.neufeldlearning.com/frameworks/ (http://www.neufeldlearning.com/preview/)http://www.neufeldlearning.com/preview/

23. Access - 5.M.01.04.. 3 part outlines on 2 pages..on computer Example of Tiered Frameworks

24. Tiered Frameworks… online”

27. Build it.. Draw it.. Talk it.. Write it.. then.. OWN IT! Modelling.. K to 5

28. 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

29. 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/

30. Proportions in a “Smarter, Not Harder” Blended RTI Approach Modelling - 6 to algebra 1

31. 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 & instruction ●discuss “intensive math” outline

32. 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/

33. Assessment 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

34. 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 Results

35. The Learning Environment Teachers School Leaders ParentsCurriculum Students

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

37. “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

38. 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.

39. 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.

40. 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

41. 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”

42. FINALLY.. ●UMath X Preview Access www.neufeldlearning.com/previewwww.neufeldlearning.com login - student password - student2015 ●Videos - Navigation, Frameworks www.neufeldlearning.com ●Professional Learning: http://www.neufeldlearning.com/files/UMathX-BlendedLearning-OntarioExpectations.pptx ●Contact -R. Neufeld.. rneufeld@neufeldlearning.comrneufeld@neufeldlearning.com -Brenda re ordering.. bmathies@neufeldmath.combmathies@neufeldmath.com http://www.neufeldlearning.com/files/UMathX-BlendedLearning-ChangingTheClassroom.pdf Call or Email