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Dr. Anne M. Collins Lesley University, Cambridge, MA Formative Assessment: Enabling Learning [email protected]

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Dr. Anne M. CollinsLesley University,

Cambridge, MA

Formative Assessment:

Enabling Learning

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Formative assessment is an on-going process!

Students and teachers alike benefit from effective formative assessment!

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ASSESSES PRIOR KNOWLEDGE

PROVIDES REAL TIME FEEDBACK

ASSESSES DAILY PROGRESS

INFORMS INSTRUCTION

Is on-going and designed to improve teaching and learning

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Formative Assessment

Three Formative Assessment Strategies

Conjecture Boards

Observation Protocols

Feedback

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Assess students’ understandings, partial understandings, and misconceptions.

Range Questions

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Ass

ess

ing

Pri

or

Kn

ow

led

ge

Record student responses on a conjecture board

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Pose a range question

Conjecture boards

Conjectures are ideas that have to be proven to be always true. (Leila grade 3)

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Tell me what you think the equal sign means.

Sample Range Question

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Grade 3 Student Responses

• Takes the question to an answer

• One side equal to the other

• The answer to a question

• Sign that shows a sum

• Sign that shows the same amount

• Left side is the same as the right side

• Have the same amount but don’t look the same

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Conjecture Board

Grade 3 Student Revisions

• Takes the question to an answer

• One side equal to the other

• The answer to a question

• Sign that shows a sum

3 x 4 = 12

• Sign that shows the same amount

• Left side has the is the same value as the right side

• Have the same amount but don’t look the same

2 = 2

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Conjecture Board

Yet…Many Students of All grades

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• Continue to write:

ARE NUMBERS NOUNS OR ADJECTIVES?

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MOST STUDENTS/ADULTS CLAIM NUMBERS ARE NOUNS

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Grade 3 Student Responses

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Yet, if students think that numbers are adjectives that tell what quantity of something then in algebra it makes sense to combine 2a + 4 + 3a to get 5a + 4.

Sample Range Question

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Tell me what you think the term volume means.

Sample Range Question

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Grade 5 Student Responses

• Space

• l x w x h

• Base times height

• Area

• Amount of something

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Conjecture Board

Grade 5 Student Revisions

• Space

• l x w x h only for rectangular

prisms

• base times height

• Area

• Amount of something

• Layers

• Area of the base time height

• β x h

• Capacity

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Conjecture Board

Lesson On Circles

• Pose the following “RANGE” question:

Tell me everything you know about a circle.

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Conjecture Board Responses

• “It’s something round”

• “You need pi to measure the area and circumference.”

• “It has no beginning and no ending.”

• It is curved.

• It has not sharp edges.

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Teacher Action

• Based upon student conjectures this teacher must take some action to address the students lack of foundational understanding of circles.

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Index Card With Center Point

Draw as many six-inch line segments as possible through the center point so there is an equivalent length on either side of the point.

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Assess what students learned during the day’s lesson. Informs the next day’s lesson

Exit Cards/Tickets to Leave

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Exit Cards

• Exit cards assess conceptual understanding

• Exit cards assess procedural skills

• Exit cards inform the next instructional session

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Sample Exit Card

Which operation gives a greater numerical answer MULTIPLICATION or DIVISION?

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Exit Question/Ticket to Leave

Without using a pen or pencil to do the

math, which answer do you predict will be

greater?

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Information on Exit Cards/Tickets to Leave

Can and should be used to inform the next day’s lesson.

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HOW MIGHT YOU ADDRESS THE MISCONCEPTIONS ABOUT DIVISION AND MULTIPLICATION (OF FRACTIONS? OF WHOLE NUMBERS)

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FEEDBACK IN REAL TIME

Is designed to help students meet their learning goals.

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Provide guidance on how to improve (strategies, tips, suggestions, reflective questioning, etc.)

Can you tell me what you were thinking when you…

I like the way you wrote that expression but can you tell me …

You are on the right track but can you …

Feedback

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Feedback that the teacher provides to students is also an essential resource so the students can take active steps to advance their own learning.

What Feedback Would You Provide?Emma Grade 1

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What feedback would you provide?Emma grade 1

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What feedback would you give this student?Emma Grade 1

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Partial Sums/Combining Like Terms

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26 20 +6 2a + 668 60 + 8 6a + 8 80 80 +14 8a + 1414 9494

Partial Products/Multiplying BinomialsDistributive Property

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26 20 +6 2a + 6

x 68 x60 + 8 x6a + 8

48 48 48

160 160 16a

360 360 36a

1200 1200 12a2

1768 1768 12a2 + 52a + 48

TEACHER ROLES

Provide students with feedback and rubrics so they know how their work will be assessed

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Feedback Timing

• Returning a test or assignment the next day

• Giving immediate oral responses to questions of fact

• Giving immediate oral responses to student misconceptions

• Providing flash cards (which give immediate right/wrong feedback) for studying facts

• Returning a test or assignment two weeks after it is completed

• Ignoring errors or misconceptions (thereby implying acceptance)

• Going over a test or assignment when the unit is over and there is no opportunity to show improvement

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Good Timing Bad Timing

• Design lessons in which students use feedback on previous work to produce better work.

– Provide opportunities to redo assignments. (Comparing a rough draft to the rubric/criteria/exemplar.)

– Give new but similar assignments for the same learning targets.

– Give opportunities for students to make the connection between the feedback they received and the improvement in their work.

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Teacher Roles

Teachers must be:

• Clear about the intended learning goals for the lesson;

• Achieve maximum transparency for students;

This means:

• Focus on what students will learn NOT on what they will do;

• Share the learning goal or actively create it with students;

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Teacher Roles continued

Teachers must:

• Communicate the indicators of progress;

• Decide how to gather evidence about student learning;

This means

• Determine indicators with the students;

• Evidence of emergent learning should yield information that is actionable by both the teacher and the students

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EVIDENCE COLLECTION

is a systematic process andneeds to be planned so that teachers have

a constant stream of information tied to indicators of progress

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OBSERVATION PROTOCOLS

DESIGNED TO COLLECT EVIDENCE FOR EACH STUDENT’S STRENGTHS AND WEAKNESSES!

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Observational Protocol Categories

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Student Problem Solving Strategies

Accurate Computation

Uses Multiple Representations

Justifies solutions

STUDENTS MUST HAVE ROUTINE ACCESS TO THE CRITERIA AND STANDARDS FOR THE TASK THEY NEED TO MASTER; THEY MUST HAVE FEEDBACK IN THEIR ATTEMPTS TO MASTER THOSE TASKS

Grant Wiggins

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THEY MUST HAVE OPPORTUNITIES TO USE THE FEEDBACK TO REVISE WORK AND RESUBMIT IT FOR EVALUATION AGAINST THE STANDARD.

Grant Wiggins

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STUDENT ROLES

Students take an active role in evaluating their own progress towards their learning

goals.

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Student Roles

Students must:

• engage in self-assessment

• provide peer-assessment.

This means

• students engage in metacognitive activity, a hallmark of effective learning.

• students give feedback that is intended to be constructive and help their peers make progress toward the lesson goal.

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PEER FEEDBACK

• Peer feedback has a number of advantages

• It involves thinking about learning

• It can deepen students’ understanding of their own learning

– because they have to internalize the learning goal and progress indicators in the context of someone else’s work.

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In Conclusion

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In Conclusion

• Formative assessment is not a test

• Formative assessment is an approach to teaching and learning that uses feedback as its centerpiece in a supportive classroom context

• Formative assessment is a practice that empowers teachers and students to give their best to enable learning

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Resources and Additional Reading

• Black PJ and Wiliam D (1998), Assessment and Classroom Learning. Assessment in Education: Principles, Policy and Practice, 5, 7–73.

• Collins, A. 2012. Using Classroom Assessment to improve Student Learning. NCTM. Reston, VA

• Hattie J and Timperely H (2007), The Power of Feedback. Review of Educational Research, 77, 81–112.

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Resources and Additional Readings

• Heritage, M. 2011. Formative Assessment: Enabling Learning: An enabler of learning. Better: Evidence-based Education. Spring 18-19.

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