Math Resources

OverviewWhat 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

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

Problem SolvingMy Journey● After 1st year teaching● Key words● Math Intervention Program

Problem Solving Types● See Sheet ● 3 minutes● Rank

o Easy o Mediumo Hard

Problem Solving Grid● CCSS

o http://www.corestandards.org/Math/Content/mathematics-glossary/Table-1/

o http://www.corestandards.org/Math/Content/mathematics-glossary/Table-2/

● Carpenter and Fennema ● Problem Solving Grid

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

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

Stages of Math Reasoning● See Sheet

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

Problem Solving ResourcesProblem Solving Assessment ElementaryProblem Solving Assessment Middle School

Lots of Examples of ProblemsUSE CAUTION!!!!!!!

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

Numeracy● Developmental Guidelines● Numeracy Assessment

o Numeracy Assessment Numbers ● Number Development Activities● Resource List

Fact Development● Developmental Guidelines● Fact Interview Assessment● Fact Development Activities● Resource List

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

Intervention Resources● Battista Books

o Fractions, Place Value, Geometry Shapes, Geometry Measurement, Multiplication and Division, Addition and Subtractions

o Assessmento Student Pages

● MMSDo Number Development and Fact Development