Using Inquiry to Promote Learning in Mathematics

I Wonder…..
Raelysha K. Butler-James
Christine Johnson
James E. Shepard IB Magnet Middle School
Durham Public Schools
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Welcome
Introduction- Cow and Chicken Problem
What is inquiry based learning?
What are good questions?
Question Sort
What does inquiry look like in our classrooms?
Elevate it! (collaborate)
Rigor- what does it mean?
Cows and Chickens
Fern lives on a farm, and raises cows and chickens. She currently has
seven animals. If her animals have a total of 20 legs, how many of each
animal does she have?
*Solve this problem two different ways
Why are we here…..
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Inquiry-based learning starts by posing
questions, problems or scenarios.
-Teachers facilitated
-Student centered
*Students construct their own understanding
“Rigor is a quality of instruction that requires
students to construct meaning for themselves,
impose structure on information, integrate
individual skills into processes, operate within
but at the outer edge of their abilities, and apply
what they learn in more than one context and to
unpredictable situations.”
http://mindstepsinc.com/2012/04/what-is-rigor/
Comparison of Bloom’s Taxonomy and Costa’s Levels of Questioning
Bloom’s Taxonomy
Knowledge
define, label, repeat, record, list,
recall, memorize, relate, name
Common
Description
Gathering
Information
Comprehension
Costa’s Levels of Intellectual
Functioning
Input
tell, recall, define, observe, identify, describe,
recognize, demonstrate, connect, count, list,
match, label, name, select, discuss
restate, discuss, describe, recognize,
explain, express,
identify, locate, report, review
Application
demonstrate, dramatize, practice,
operate, imply, schedule, apply,
illustrate, translate, interpret
Thinking about
the
Information
Process
Applying the
Information to
New Situations
and Making
Judgments
Output
Analysis
debate, diagram, distinguish, compare,
question, inventory, differentiate,
criticize, solve,
experiment
Synthesis
compose, design, propose, arrange,
formulate, organize, assemble, prepare,
construct
Evaluation
judge, rate, predict, assess, choose,
evaluate, estimate, select, value,
measure
sort, infer, analyze, sequence, organize,
distinguish, solve, explain, compare, contrast,
group, classify, construct, relate, determine,
differentiate, deduce, isolate, specify,
characterize, make analogies, reason,
conclude, criticize, reconstruct, reorganize,
justify, judge, evaluate, imagine, predict,
speculate, forecast, estimate, create, modify,
generalize, theorize, make a model,
extrapolate, apply a principal, interpret,
hypothesize, if/then
Each bag contains 12 questions
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Empty your bag on the table
Sort the questions (however you please)
Collaborate with the people you are near.
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Write a Level 1 question (any content you teach)
Pass your Post-it to the person on your right
Now, without any discussion elevate the question to a
Level 2 type question.
Pass the Post-it again the next person on your right.
Read both the Level 1 and Level 2 questions and
elevate it to a Level 3 question, again with no
discussion.
Now pass the question back to the original author.
Discuss with your elbow partner how the question
evolved.