1. Math Resources

2. Overview What is CGI? Problem Solving ●Problem solving types and what order to give them to students ●How students progress in developing problem solving abilities ●How to incorporate story problems into your math class ●Resources Numeracy (number development) and Fact Development Resources Math Intervention Resources

3. What is CGI? ●Cognitively Guided Instruction ●Its an approach not a curriculum ●Uses child’s thinking as a basis for instruction ●Child can solve problems without direct instruction ●Carpenter and Fennema

4. Problem Solving My Journey ●After 1st year teaching ●Key words ●Math Intervention Program

5. Problem Solving Types ●See SheetSee Sheet ●3 minutes ●Rank o Easy o Medium o Hard

6. Problem Solving Grid ●CCSS o http://www.corestandards.org/Math/Content/mathem atics-glossary/Table-1/ http://www.corestandards.org/Math/Content/mathem atics-glossary/Table-1/ o http://www.corestandards.org/Math/Content/mathem atics-glossary/Table-2/ http://www.corestandards.org/Math/Content/mathem atics-glossary/Table-2/ ●Carpenter and Fennema ●Problem Solving GridProblem Solving Grid

7. Join Result Unknown Join Change Unknown Join Start Unknown Separate Result Unknown Separate Change Unknown Separate Start Unknown Part Part Whole: Whole Unknown Part Part Whole: Part Unknown Compare Diff. Unknown Compare Quantity Unknown Compare Referent Unknown Multiplication Measurement Division Partitive Division

8. How Students Progress ●Action - makes problem easier ●Start with green problems ●Pivotal problem - then yellow & red problems ●Number Size ●Key Words = BAD ●Student sharing

9. Stages of Math Reasoning ●See SheetSee Sheet

10. Problem Solving in Class ●Create 3 levels ●Students self-select ●Solve in Math Journal ●Must Explain Why! ●Share Out ●Convince MeConvince Me ●VideoVideo

11. Problem Solving Resources Problem Solving Assessment Elementary Problem Solving Assessment Middle School Lots of Examples of Problems USE CAUTION!!!!!!!

12. Numeracy ●One-to-One Correspondence: each object being counted represents “one more” o assigning the correct number to the correct number of objects ●Cardinality: Number in a set o last counting word represents all the items in a group ●Subitizing: Instantly knowing how many

13. Numeracy ●Developmental GuidelinesDevelopmental Guidelines ●Numeracy AssessmentNumeracy Assessment o Numeracy Assessment Numbers Numeracy Assessment Numbers ●Number Development ActivitiesNumber Development Activities ●Resource ListResource List

14. Fact Development ●Developmental GuidelinesDevelopmental Guidelines ●Fact Interview AssessmentFact Interview Assessment ●Fact Development ActivitiesFact Development Activities ●Resource ListResource List

15. Multiplication Progressions ●5, 10, 2, 0, 1, 4, 8, 9, 6, 3,7 ●2, 10, 5, 1, 0...3, 4, 6, 9, 8, 7

16. Intervention Resources ●Battista Books o Fractions, Place Value, Geometry Shapes, Geometry Measurement, Multiplication and Division, Addition and Subtractions o Assessment o Student Pages ● MMSD o Number Development and Fact Development