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Understanding Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center [email protected] 1

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Page 1: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Understanding Understanding

Dr. Robert MayesUniversity of Wyoming

Science and Mathematics Teaching Center

[email protected]

Page 2: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Understanding by Design

Authors: Jay McTighe and Grant Wiggins ASCD materials – Association for Supervision and

Curriculum Development Understanding by Design Handbook will serve as

basis for many of our activities in assessment

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Page 3: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Establishing Norms

Open-mindedness Curiosity Discovery Sincerity Brevity Engagement Connections

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Page 4: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Understanding Understanding Though we claim as teachers

to be after understanding, we may not adequately understand our goal

Knowledge is different than Understanding Knowledge can be rote – correct

beliefs Understanding is fluid,

transferable to new contexts, transformable into new theories - insight 4

Page 5: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Understanding Understanding

Was the banker a good teacher?What characteristics of good teaching did he display?

What are common teaching design errors?Activity-focused teachingCoverage-focused teaching

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Page 6: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Some basic terms

What is assessment versus evaluation? What are standards versus objectives? What does it mean to know versus understand?

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Page 7: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Understanding Understanding

Understanding is difficult to measureTeachers often satisfied with signs of apparent

understanding – such as performing an algorithmStudent misconceptions are persistentHigh-stakes testing makes determining understanding

more pressingCat and mouse game – give students incentive to seem to

understand what they are supposed to learn

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Page 8: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Understanding Understanding

Attempts to teach for understanding must answer If correct answers can offer inadequate or misleading

evidence of understanding, or if good test results can hide misunderstanding, then what is genuine understanding?

How does genuine understanding manifest itself?How can design more effectively and reliably reveal

genuine understanding?

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Page 9: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Understanding Understanding

Provide a definition of what understanding means to youBloom (1956): ability to marshal skills and facts wisely

and appropriately, through effective application, analysis, synthesis, and evaluation

Wiggins and McTighe (2005) 6 facets of understandingperform - explain, interpret, applygain insight – perspective, empathize, self-knowledge

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Page 10: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Cognitive Science and Understanding Transfer: applying facts and skills in novel situations

Pattern recognitionEnduring understandings are the basis of transfer

Metacognition: self-assessment, self-awareness, self-regulation3 pathologies of mislearning are amnesia (we forget),

fantasia (we don’t understand that we don’t understand), and inertia (we are unable to use what we learn)

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Page 11: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Cognitive Science and Understanding

Misconceptions: (buggy literature) mapping of a working idea in a plausible but incorrect way in a new situation – consistent errorConceptual Benchmarks – must understand the

likelihood that big ideas will be misconceived Expert Blind Spot: if it teach it, they will learn it –

basis in Piaget concept of encapsulation

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Page 12: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Six Facets of Understanding

3 Facets represent performances one with understanding can doExplain – provide thorough, supported, and justifiable

accounts of phenomena, facts, and data (theoretical, explain why)

Interpret – tell meaningful stories, offer apt translations, provide revealing historical or personal dimension to ideas and events, (personal, what does it mean to me)

Apply – effectively use and adapt what one knows in diverse contexts (pragmatic, how can I use it)

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Page 13: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Six Facets of Understanding 3 Facets represent types of insights one has

Perspective – see points of view through critical eyes and ears, see the big picture (dispassionate, whose point of view)

Empathize – find value in what others might find odd, alien, or implausible, perceive sensitivity on the basis of prior direct experience (passionate, what are you feeling)

Self-knowledge – perceive personal style, prejudices, projections, and habits of mind that both shape and impede one’s own understanding, be aware of what one does not understand (introspective, my prejudices)

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Page 14: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Backward Design Process

Backward design can be thought of as:Purposeful task analysis – Given a task to be

accomplished, how does one get there?Planned Coaching – What kinds of lessons and

practices are needed to master key performances?

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Page 15: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Backward Design Process Typical Teacher Design

Begin with text, favorite lesson, time honored activityDerive targeted goals and standards

Backward DesignBegin with desired result (goal or standard)Derive curriculum based on the evidence of learning Think like an assessor – begin with a question,

operationalize goals or standards in terms of assessment

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Page 16: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Backward Design Process Three Stages of Backward Design (HO: 6 page UbD

Unit Template)

Stage 1: Identify desired results

Stage 2: Determineacceptable evidence

Stage 3: Plan learningexperiences and

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Page 17: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Backward Design Process Stage 1: Identify Desired Results

Consider goals Examine content standards Review curriculum expectations

More content than can be covered so we are obliged to make choices What should students know, understand and be able to do? What is worthy of understanding? What enduring understandings are desired?

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Page 18: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Backward Design Process

Stage 2: Determine Acceptable EvidenceThink like an assessor – consider up front, How we will

determine if students have attained desired understanding

Consider a range of assessment methodsPerformance tasks to measure understandingTraditional assessments (quizzes, tests) to assess essential

knowledge and skills contributing to performanceSelf-assessment and peer-assessment

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Page 19: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Backward Design Process

Stage 3: Plan Learning Experience and InstructionSpecifics of instructional planning occur after desired

results and assessments are identified Key Questions

What enabling knowledge and skills will students need to perform effectively and achieve desired results?

What activities will equip students with the needed knowledge and skills?

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Page 20: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Backward Design Process

Stage 3: Plan Learning Experience and Instruction Key Questions

What will need to be taught and coached, and how should it best be taught, in light of performance goals?

What materials and resources are best suited to accomplish these goals?

Is the overall design coherent and effective?

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Page 21: Understanding Dr. Robert Mayes University of Wyoming Science and Mathematics Teaching Center rmayes2@uwyo.edu 1

Dr. Robert MayesUniversity of Wyoming

Science and Mathematics Teaching Center

[email protected]

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