Depth of Knowledge in MathK-5 Math Back to School Conference

August 1, 2014Gardendale High School

K-5 Math Survey

Depth of Knowledge

Small Group Instruction

Number Talks

Session Outcomes

• Participants will learn the importance of DOK in mathematics.

• Participants will identify the DOK levels of K-5 Math Tasks.

What is DOK?

Depth of Knowledge (D.O.K.)

Measures the degree to which the knowledge elicited from students on assessments is as complex as what students are expected to know and do as

listed in the state standards.

What Do Depth of Knowledge Assessments Accomplish?

DOK assessments are a mechanism to ensure that the intent of the standard and

the level of student demonstration required by that standard match.

D.O.K. Compared to Bloom’s

Bloom’s taxonomy level of difficulty is determined by the verb. DOK’s level of cognitive demand is determined by the context of how the verb is used and the depth of thinking required.

What comes after the verb is more important

that the verb itself.

Depth of Knowledge

• Level 1• Conduct basic mathematical calculations• Label locations• Perform routine procedures

• RECALL• Determine the perimeter or area of

rectangles given a drawing or labels

Depth of Knowledge

• Level Two• Solve routine multiple-step problems• Identify patterns• Organize, represent and interpret data

• SKILLS AND/OR CONCEPT• Classify plane and three dimensional figures

Depth of Knowledge

• Level Three• Apply a concept in other contents• Support ideas with details and examples

• STRATEGIC THINKING• Solve a multiple-step problem and provide

support with a mathematical explanation that justifies the answer

Depth of Knowledge

• Level Four• Apply mathematical model to illuminate a

problem or situation.• Analyze and synthesize information from multiple

sources• Design a mathematical model to inform and solve

a practical or abstract situation

• EXTENDED THINKING

Applying DOK Levels in Math

What do you notice?

Depth of Knowledge (DOK)

Activity :Depth of Knowledge Math Sorting Activity1. Working individually, classify each mathematical

assessment task according to its DOK level.

2. Work with a partner to arrive at consensus as to what DOK level each task reflects.

3. Report out responses and the rationale of such responses.

Copyright ©2010 Commonwealth of Pennsylvania 13

How did you do?

DOK 1- 1MD.2

DOK 2 – 1.NBT.2

DOK 1- 2.NBT.4

DOK 2- 2.OA.3

DOK 3- 2.NBT.8

DOK 1 – 4.NF.2

DOK 2- 3.OA.6

DOK 1- 3.OA.6

DOK 2- 5.NBT.7

DOK 2- 3.OA.3

Depth of Knowledge

• So what is the point of knowing Depth of Knowledge?

• This helps us understand what the outcomes of our lessons should be.

• We need to prepare students to think more conceptually

Questions to Consider When Assessing Learning…

1. What DOK levels should you be targeting with assessment questions?

2. What would you consider to be an appropriate distribution of the different DOK levels in an assessment?

3. What concerns do you have regarding the different levels of DOK?

4. How might you build DOK Level 4 questions into your unit/lesson/assessment design?

Remember…• Depth of Knowledge (DOK) is a scale of cognitive

demand.• DOK requires looking at the assessment

item/standard – not student work – in order to determine the level. DOK is about the item/standard – not the student.

• The context of the assessment item/standard must be considered to determine the DOK – not just a look at what verb was chosen.

• An item/standard written to DOK 3 often contains DOK 1 and DOK 2 level demands.

3, 2, 1, Exit Ticket

• 3 Things you will do to utilize this information about DOK in Math

• 2 Things you discovered about DOK in Math• 1 Question you still have