math resources. overview what is cgi? problem solving ●problem solving types and what order to...
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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