Understanding Depth of Knowledge Lou Maynus, Mathematics Coordinator WVDE Depth of Knowledge (DOK) • Adapted from the model used by Norm Webb, University of Wisconsin, to align standards with assessments • Used by the Council of Chief State School Officers (CCSSO) for assessment alignment Why Depth of Knowledge? • No Child Left Behind (NCLB) requires assessments to “measure the depth and breadth of the state academic content standards for a given grade level” (U.S. Department of Education, 2003, p. 12) Why Depth of Knowledge? • Mechanism to ensure that the intent of the standard and the level of student demonstration required by the standard matches the assessment items (required under NCLB) • Provides cognitive processing ceiling (highest level students can be assessed) for item development What is Depth of Knowledge? • The degree of depth or complexity of knowledge reflected in the content standards and assessments • How deeply a student needs to understand the content for a given response/assessment Webb’s DOK Levels • • • • Level 1 Recall and Reproduction Level 2 Skills & Concepts Level 3 Strategic Thinking Level 4 Extended Thinking Depth of Knowledge Levels Level 1: Recall Recall, recognition; skill, behavior or sequence of behaviors learned through practice and easily performed Level 2: Skill/Concept Engagement of some mental processing beyond recalling; the use of information or conceptual knowledge; requires making some decisions regarding how to approach a question or problem Level 3: Strategic Thinking More sophisticated reasoning and analysis; deep understanding; students are required to solve problems & draw conclusions Level 4: Extended Thinking Requires integration of knowledge from multiple sources and ability to represent knowledge in a variety of ways; usually requires work over an extended period of time Understanding Depth of Knowledge • DOK is about intended outcome, not difficulty. • DOK is a reference to the complexity of mental processing that must occur to answer a question, perform a task, or generate a product. (Show House Video-clip) Understanding Depth of Knowledge Difficulty is a reference to how many students answer a question correctly: • How many of you know the definition of exaggerate? DOK 1 - recall If all of you know the definition, this question is an easy question. • How many of you know the definition of prescient? DOK 1 - recall If most of you do not know the definition, this question is a difficult question. Copyright © 2007 Mississippi Department of Education Understanding Depth of Knowledge • Words like explain or analyze have to be considered in context. “Explain to me where you live” does not raise the DOK of a simple rote response. Even if the student has to use addresses or landmarks, the student is doing nothing more than recalling and reciting. Copyright © 2007 Mississippi Department of Education Depth of Knowledge Levels Level 1: Recall Recall, recognition; skill, behavior or sequence of behaviors learned through practice and easily performed Level 2: Skill/Concept Engagement of some mental processing beyond recalling; the use of information or conceptual knowledge; requires making some decisions regarding how to approach a question or problem Level 3: Strategic Thinking More sophisticated reasoning and analysis; deep understanding; students are required to solve problems & draw conclusions Level 4: Extended Thinking Requires integration of knowledge from multiple sources and ability to represent knowledge in a variety of ways; usually requires work over an extended period of time DOK Level 1 Examples • • • • List animals that survive by eating other animals. Locate or recall facts explicitly found in text Describe physical features of places Determine the perimeter or area of rectangles given a drawing or labels • Identify elements of music using musical terminology • Identify basic rules for participating in simple games and activities DOK Level 2 Examples • Compare desert and tropical environments • Identify and summarize the major events, problem, solution, conflicts in literary text • Explain the cause-effect of historical events • Predict a logical outcome based on information in a reading selection • Explain how good work habits are important at home, school, and on the job. • Classify plane and three dimensional figures • Describe various styles of music DOK Level 3 Examples • Compare consumer actions and analyze how these actions impact the environment • Analyze or evaluate the effectiveness of literary elements (e.g. characterization, setting, point of view, conflict and resolution, plot structures) • Solve a multiple-step problem and provide support with a mathematical explanation that justifies the answer DOK Level 3 Examples • Develop a scientific model for a complex idea • Propose and evaluate solutions for an economic problem • Explain, generalize or connect ideas, using supporting evidence from a text or sourc • Create a dance that represents the characteristics of a culture DOK Level 4 Examples • Gather, analyze, organize, and interpret information from multiple (print and non print sources) to draft a reasoned report • Analyzing author’s craft (e.g., style, bias, literary techniques, point of view) • Create an exercise plan applying the “FITT (Frequency, Intensity, Time, Type) Principle DOK Level 4 Examples • Analyze and explain multiple perspectives or issues within or across time periods, events, or cultures • Specify a problem, identify solution paths, solve the problem, and report the results • Write and produce an original play Caution! • The Depth of Knowledge is NOT determined by the verb, but the context in which the verb is used and the depth of thinking required. Same VERB – three DOK Levels Science • DOK? – Describe a model that you might use to represent the relationships that exist within the rock cycle • DOK ? – Describe the differences between metamorphic and igneous rocks • DOK ? – Describe three characteristics of metamorphic rocks Same VERB – three DOK Levels Social Studies • DOK ? examine the amendment process of the West Virginia Constitution, give examples of amendments and explain why they occurred. • DOK ? explain how nations benefit when they resolve conflicts peacefully. • DOK ? Use correct geographic terminology to explain direction, location, time zones, physical features of the earth. Same VERB – three DOK levels Secondary Mathematics • DOK ? Explain what family of functions would best model a particular real-world situation. • DOK ? Explain the difference between a linear and a quadratic function. • DOK ? Explain how the “vertical line test is useful in determining whether or not a given graph is representing a function. Same VERB – three DOK levels Elementary Mathematics • DOK ? Determine the formula for the area of a rectangle and explain reasoning through modeling • DOK ? Demonstrate and model multiplication (repeated addition, arrays) and division (repeated subtraction, partitioning) • DOK ? Model, describe, and draw – lines, rays, angles including right, obtuse, and acute angles. Practice Activity: Sample One M.O.4.5.1 Read and interpret information represented on a circle graph. Practice Activity: Sample Two Solve one-step linear equations and inequalities with one variable, interpret the solution or solutions in the context from which they arose, and verify the reasonableness of the results. Practice Activity: Sample Three Design a statistical experiment to study a problem and communicate the outcomes. DOK Levels Can Be Cumulative • An item/standard written to DOK 3 often contains DOK 1 and DOK 2 level demands. 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. WVDE Office of Instruction Lou Maynus Mathematics Coordinator lmaynus@access.k12.wv.us 304-558-5325