5E Learning cycle

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5E Learning cycle with sample lesson

• G. Donald Allen
• Department of Mathematics
• Texas AM University

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Professional development goals

• Improving all students learning.
• Improving teacher effectiveness.
• Setting high standards for teachers.
• Promoting continuous staff learning.
• Enhancing staff intellectual and leadership
  capacity.

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Needs assessment.

• Student TAKS grades in the areas of
• number operations, (incl. fractions)
• measurement and scaling
• Emphasis on
• Notation
• Presentation
• Terminology/vocabulary/definition
• Methodology

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Using the 5E learning cycle

• The lesson plan components
• Engage
• Explore
• Explain
• Extend
• Evaluate

It appears to be linearly ordered, but loops are
often desired or required.
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Engage

• The instructor initiates this phase by asking
  well-chosen questions, by a problem to be solved,
  or by showing something intriguing.
• The instructor engages the student.

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Explore

• The exploration phase provides the opportunity
  for students to become directly involved with the
  key concepts of the lesson through guided
  exploration that requires them to probe, inquire,
  and question.

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Explain

• The instructor, acting as teacher and
  facilitator, gives further explanation, making
  mathematically precise the notions involved.
• The instructor add additional meanings or
  information, or correct terminology.

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Extend

• Students expand and extend what they have
  learned.
• The instructor expands and extends the basic
  ideas to related and perhaps more challenging
  problems.

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Evaluate

• Evaluation is ongoing, and by this time the
  instructor should know how the students have
  learned.
• Traditional forms of assessment are administered.

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Using the 5E learning cycle

• In techno-babble it is a recursive cycle of
  distinctive cognitive stages of the tripod of
  expository, problem solving, and experiential
  learning.
• Lessons can take several days or weeks to
  complete.

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5E The Theory

• A novice learner has loosely integrated knowledge
  maps.
• A advanced learner or expert possesses tightly
  integrated knowledge maps.
• The more loops a learner makes through the
  recursive cycle of expository, problem solving,
  and experiential learning, the tighter is the
  knowledge map and the greater is the chance for
  ascending the ladder of understanding.

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The 5E Learning Cycle

• What is it?
• Who should use it?
• When is it most effective?
• When should it not be used?

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5E What is it?

• An organizational tool like tab dividers in a
  binder to involve students in the learning
  process
• A teaching cycle based on the interactive
  exploration of a concept
• A procedure that layers knowledge, partly
  discovered by students, and partly amplified by
  teachers.

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5E What is it?

• Students build on former concepts in order to
  place the new ideas into their working framework
  of knowledge
• A learning cycle that supports the building or
  accumulation of knowledge based on previously
  learned concepts.

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5E - Who should use it?

• Teachers new to a subject as an organizational
  tool.
• Teachers needing a programmed channel to their
  students.
• Teachers wishing to give lessons as fully
  packaged presentations.

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5E - When is it most effective?

• For new concepts that are difficult to master.
  (e.g. What is a variable? The beginning of
  fractions? What is proportional? What is
  scaling?)
• When the teacher has the resources and time to
  allow the engage and exploratory phases.

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5E - When should it not be used?

• During skills acquisition
• When the new concept is closely related to an
  previously covered one
• When the class is already highly motivated
• When time is short

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The 5E Instructional Method

• How much time does a lesson plan take to develop
  - compared with another pedagogical method?
• What is the learning time for teaching with the
  5e model.
• Is there data on student performance when taught
  by the 5e model?

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Example
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5E Learning Cycle Lesson PlanSampleWhat
is an Angle? Understanding and measuring
adapted from Making connections with
Measurement Grade 6 ESC IV, Houston, TX, 2005
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What is an Angle? - Engage

• Begin with the angles worksheet
• Distribute patty paper
• Prompt students to identify larger or smaller of
  the angle pairs
• Trace the larger angle on patty paper and compare

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What is an Angle? - Engage

• Questions
• How did you determine the larger angle?
• What makes an angle larger?
• How do the rays help your determination
• Does the length of the rays impact your
  determination?

Expect varied answers.
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What is an Angle? - Explore

• Distribute unit angles (45o and 30o)
  transparencies.
• Distribute Activity Worksheets (45o and 30o)
• Ask students to measure the angles in terms of
  multiples of the unit angles, wrt each unit and
  worksheet

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Activity Worksheet for 45o
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Unit angles (45o and 30o)
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Typical Questions - Explore

• What do you notice about the number of 45o ,
  resp. 30o, required to measure each angle.
• How do the numbers of units compare for each pair
  (A,B A,C A,D B,C etc)?
• Which angles are twice another angle?

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What is an Angle? - Explore

• Distribute unit angles (10o and 5o)
  transparencies.
• Distribute Activity Worksheets (10o and 5o)
• Ask students to measure the angles in terms of
  multiples of the unit angles, wrt each unit and
  worksheet
• Ask similar questions to previously.

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What is an Angle? - Explore

• Distribute protractors
• You may also wish to use 45o , resp. 30o, unit
  protractors if time permits.
• Distribute master activity sheet with assorted
  angles. (not just unit angles and multiples)
• Ask similar questions to previously.
• Ask students to construct angles of various sizes.

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What is an Angle? Explain

• Can the protractor substitute for all the unit
  angles? Why?
• Can the protractor measure angle we have seen?
• Can the protractor measure every angle? Why or
  why not?
• Explain/explore multiples of unit angles.

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What is an Angle? Extend

• Distribute the Many Angles worksheet.
• Ask students to find angles that meet various
  conditions.
• Angle less than 10o? Less than 25o? Etc
• Pairs of angles complementary? Supplementary?
• Which angles are greater than 60o? 180o?

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Many Angles Worksheet
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What is an Angle? Evaluate

• Ask students to construct angles of various
  sizes.
• Ask students to measure select angles.
• Ask students to determine all acute (obtuse)
  angles within a collection.

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Vocabulary

• Angle
• Unit Angle
• Protractor
• Acute angle
• Obtuse angle

• Complementary angles
• Supplementary angles

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Additional information

• Time to complete lesson plan 90 minutes
• TEKS 6.8C