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Draft Content Draft Content Standards Standards

for for High School High School MathematicsMathematics

Colleen Mileham, Michelle Hooper, & Paul Colleen Mileham, Michelle Hooper, & Paul HibbardHibbard

Office of Educational Improvement and Office of Educational Improvement and InnovationInnovation

Oregon Department of EducationOregon Department of Education

State Board of EducationState Board of EducationJune 19, 2009June 19, 2009

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High School Math High School Math StandardsStandards

AlgebraAlgebra

StatisticsStatistics

GeometryGeometry

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Advanced Mathematics Advanced Mathematics Knowledge & SkillsKnowledge & Skills

Provide students more Provide students more learning options (advanced learning options (advanced coursework)coursework)

Assist teachers in designing Assist teachers in designing differentiated instructiondifferentiated instruction

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High School StandardsHigh School StandardsAdvanced Knowledge & Advanced Knowledge &

SkillsSkillsContain:Contain: factsfacts (definitions & formulas) (definitions & formulas) proceduresprocedures (algorithms) (algorithms) conceptsconcepts

(how math is (how math is connected as connected as a whole) a whole)

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Facts and ProceduresFacts and Procedures

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Facts and ProceduresFacts and Procedures

Example from Oregon Standards:Example from Oregon Standards:

H.1A.1 H.1A.1 Compare, order, Compare, order, and locate real and locate real numbers numbers on a number lineon a number line

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Conceptual Conceptual UnderstandingUnderstanding

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Conceptual Conceptual UnderstandingUnderstanding

Example from Oregon Standards:Example from Oregon Standards:

H.2A.6 Analyze how changing the H.2A.6 Analyze how changing the parameters transforms the parameters transforms the graph of graph of

f f ((xx) = m ) = m x x + b+ b

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Mathematical Process Mathematical Process ExpectationsExpectations

Instructional programs Pre-Instructional programs Pre-K through 12K through 12thth grade grade

should help all students to should help all students to develop a conceptual develop a conceptual

depth of knowledge of the depth of knowledge of the content standardscontent standards

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Mathematical Process Mathematical Process ExpectationsExpectations

The Actions of Doing MathematicsThe Actions of Doing MathematicsProblem SolvingProblem Solving

Reasoning & ProofReasoning & ProofCommunicationCommunication

ConnectionsConnectionsRepresentationRepresentation

(Reflection)(Reflection)

-National Council of Teachers of Mathematics (NCTM)-National Council of Teachers of Mathematics (NCTM)

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Representing

Reflecting

Reasoning and

Proving

Connecting

Communicating

Problem Solving

Mathematical ProcessesMathematical Processes

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Mathematical ProficiencyMathematical Proficiency

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Implementation & Implementation & Communications StrategyCommunications Strategy

Our next steps:Our next steps: Moving Math Education ForwardMoving Math Education Forward

summer workshops summer workshops (Sisters, LaGrande, (Sisters, LaGrande, Ashland, Eugene, & McMinnville)Ashland, Eugene, & McMinnville)

Monthly webinars (beginning fall 2009)Monthly webinars (beginning fall 2009) Standards “connections’ and other Standards “connections’ and other

guidance documents (by winter 2009)guidance documents (by winter 2009)

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Why these Why these standards?standards?

Are they the right Are they the right ones? ones?