ANALOGIES IMPROVE STUDENT
UNDERSTANDING AND RETENTION


WE THINK BY ANALOGY.
SO TAP INTO THAT MECHANISM!
“Cognitive scientists have identified metaphors as a
fundamental tool of human thought; we use metaphors so
frequently and automatically that we seldom notice them
unless they are called to our attention. Metaphors are used to
structure our experience and thereby make it meaningful. A
major objective of teaching should therefore be to help
students ‘straighten out’ their metaphors.” 

Jackson, Dukerich, and Hestenes

WHERE DO ANALOGIES
COME FROM?
FROM INTERACTING WITH THE WORLD. 

IT’S 100% EXPERIENTIAL LEARNING.
THE PROCESS STARTS WHEN, AS BABIES,
WE EXPLORE THE WORLD
Our first analogies come from the physical world when as babies
we explored, made observations, drew conclusions, and compared
new situations to previous experience.
Many of the most effective analogies are visual or tactile.
30% of our neurons are dedicated to vision.
Hearing gets only 3%.
So much for our lectures!
ALL BABIES DO THIS!
THEY CREATE ANALOGIES AND REVISE THEM WITH EXPERIENCE.
WE USE METAPHORS AND ANALOGIES EVERY DAY
“She took my breath away.”
I’ll cross that bridge when I come 

to it.
His comment hit me like a ton of 

bricks.
She stands in the shadow of her famous sister.
It’s like Whack-a-Mole: we fix one problem and another pops up!
You will overcome this obstacle and reach your goal.
WHY DOES LANGUAGE CONTAIN SO MANY
METAPHORS AND ANALOGIES?
Because we think analogically.
When we encounter something new, we try to match its traits to
something we already understand.We see if this is another example
of a category we have already loaded into our minds and worldview.
If not, we create a new category for it.
With everyone doing this, of course 

analogies seep into our language.
HOW DO ANALOGIES
SHAPE UNDERSTANDING?
Metaphor or
Analogy Target IdeaAnalogies Map
Traits onto

Target ideas
And provides a structure to organize 

information logically.
THIS MAKES SENSE BECAUSE
Meta come from the Greek for ‘over, across,
beyond’
Phor comes from the Greek for ‘to carry across’
So metaphors carry traits across from the metaphor 

to the idea being explained.
• Analogies (Gr ana = upon

logos= word) make a 

comparison, based on 

structure.
HERE’S AN EXAMPLE
“She cast her mind back to 1965.”
To ‘cast back’ is a metaphor of the mind as a
receptacle or pool of memories. This
metaphor gets activated by the word “cast,” 

which is strongly associated with fishing.
WHAT TRAITS ARE MAPPED?
Casting for Fish
Recalling
Memories
Maps Traits onto
Uncertainty-

what will be
pulled up?
Variety-lots of 

possibilities.
Murkyness-
can’t see into
the pool.
Contained-

memories float in a 

specific pool.
Leisure-it is 

pleasant.
AND IT CREATES A FRAME OR SCHEMA FOR
INFORMATION
Memories are like fish—small, large, beautiful, maybe scary…
The pool is a receptacle of 

memories…
To relive the memories, we 

simply “cast” for a memory…
One memory leads to another…
Thoughts and feelings arise with the memory…
ARE ANALOGIES
ALWAYS ACCURATE?
Not completely! They tend to simplify the topic, making it more
manageable. Sometimes the metaphor colors or skews the topic, as
in T. S. Eliot’s poem “The Hippopotamus” which praises the Catholic
Church, but the title and repeated references to the ungainly hippo
suggests criticism of the Church as not well suited for its mission.
Awkward

Bloated

Outdated

Hypocritical
NOTICE THAT THE WORD ‘HYPOCRITICAL’ HAS THE SAME
VOCAL PATTERN AS THE WORD ‘HIPPOPOTAMUS
Hip - po - pot’ - a - mus

Hyp - o - crit’ - i - cal
Eliot’s poem is purposely hypocritical in praising the Church yet
calling it a hippopotamus.
ANALOGIES MULTIPLY AS WE DEEPEN OUR
UNDERSTANDING OF HOW THE WORLD WORKS.
New analogies connect to existing analogies, creating networks
and 

domains of understanding that can be accessed more easily.



The connections grow to build a worldview, the analogies get
refined to match reality, and newer 

analogies become more vivid and 

meaningful.
BUT SOMETIMES OUR STUDENTS’ 

UNDERSTANDING IS INCOMPLETE OR WRONG
AS TEACHERS, OUR JOB IS TO HELP THEM CORRECT THEIR
MISUNDERSTANDINGS.
FOR EXAMPLE
Babies learn:When I push, it goes.
They don’t learn about friction.
THEY CARRY THIS MISPERCEPTION 

TO HIGH SCHOOL
While the teacher explains friction, 

they think of other things.
Not friction
THEY NEED TO 

STRAIGHTEN OUT THEIR ANALOGIES
This is so obvious!
Can I just tell them
how it should be?
NO,THEY WILL IGNOREYOU, BECAUSE
THEY DON’T REALIZE THAT THEIR
ANALOGIES ARE CROOKED!
THEY CRAM FOR THE TEST
Might even get 

an A
But they forget
what they crammed
NEVER CHANGING 

THEIR FAULTY WORLDVIEW
It wouldn’t be so bad if it weren’t 

happening in most classes, most days!
SHOULD WE GIVE STUDENTS GOOD ANALOGIES 

FOR THE MATERIAL THEY LEARN?
It won’t hurt, but students will only pick up on a couple of the
mapped traits.The best and most durable analogies are those the
students create themselves.This is because,“those who do, learn.”
Students who process information, develop a theory about it, and
create their own analogies gain deeper 

understanding and better, more long-lasting 

recall.The material and ideas get organized 

into the schema and become part of the 

students’ worldview.
HOW CAN WE DESIGN LESSONS THAT HELP
STUDENTS CREATE ANALOGIES?
1. Research. Design challenges and experiences that cause students (in groups of 3)
to process and understand information, with examples that are clear and focused.
2. Diagram. Have them diagram the entities involved in the topic.
3. Agree. They must reach a consensus on their theory about what happens.
4. Create Analogy. They should derive a suitable analogy or metaphor.
5. Present. And present their findings to the class.


In other words,we engineer our classes 

based on how students learn best.
THE STEPS FOLLOW THE MODELING
INSTRUCTION TEACHING METHOD
Modeling Instruction has students analyze information before
hearing theories or formulas.
It started in Physics courses, where it consistently led to higher
retention rates—from 42% in traditional courses to 69-80% in
Modeling Instruction Courses.That is nearly double.
It’s now used in Biology, Chemistry, 

History, and English Literature courses

. See American ModelingTeachers 

Association online.
EXAMPLE CHALLENGE:

WHAT WERE THE CULTURAL CONSEQUENCES OF
MEDIEVAL TRADE ON THE SILK ROAD?
STEP 1 Research: First, students need to learn about the topic.They can
Watch part of the 1988 Japanese film The Silk Road”
Read excerpts from articles and books on the Silk Road.
Watch the humorous youtube history episode “Long Story Short 7:The Silk
Road.” (contains inappropriate language)
Read “Three Stories from the Silk Road” 

(online)
The teacher selects materials that
are clear and focused.
NEXT, THEY DIAGRAM THE 

ENTITIES AND FORCES INVOLVED
Step 2: Diagram. Give them erasable white boards and
markers to diagram forces and entities.
They should use symbols, 

not words.
A force can be an arrow, an 

entity (the market, a trader) 

can be a circle or square, etc.



They should show relationships.
THEY MUST REACH CONSENSUS ON A THEORY
ABOUT WHAT HAPPENS
Step 3: Agree. Students discuss and defend their ideas,
learning how to change each others’ minds, as well as their
own, in order to reach a consensus.
THEY BRAINSTORM 

POSSIBLE ANALOGIES
Step 4: Create Analogy. Derive a suitable analogy or metaphor.
This analogy shows that as people from different cultures (different
colored threads coming in from left) encounter others in the market
(box with wavy threads), their ideas get challenged, enriched, 

and revised.Their 

interactions form bonds 

between peoples (woven 

threads on right) that enrich 

all of the cultures that traded 

along the Silk Road.
HOW TO BRAINSTORM ANALOGIES
Ask, what else is this “shaped” like?
How does it make you feel? What else feels like that?
Consider other fields: biology, music, sports, history,
electronics, art, advertising…
Use divergent thinking (free-association, 

creativity, free-wheeling, outside of the 

box).
Include everything—no judgements yet.
MAKE A LIST OF POSSIBLE ANALOGIES
Highlight the top choices. Drop the ones that seem
less fruitful. Do you need to continue brainstorming?
‘BOARD MEETING’
Step 5: Present. Student groups share their analogies and
diagrams with the class at the Board Meeting.White
boards are compared, questioned, and defended. Often,
other classmates suggest useful improvements.
HERE IS PHYSICS TEACHER MATT GREENWOLFE’S
CLASS USING MODELING INSTRUCTION
SAMPLE ANALOGIES & METAPHORS
The Great Gatsby:

Wealth is a facade

that masks sadness,

loneliness, and 

moral bankruptcy.
ANOTHER EXAMPLE METAPHOR
Like an open 

circuit breaker, when 

politics heightened

animosities and made

trade dangerous, 

Maritime Trade in the 

Indian Ocean halted.

When times are safe, 

the circuit breaker 

closes, and trade 

thrives.
AND ANOTHER
A semicolon acts like a 

weight balance, where

the material to the left

of the semicolon has

about the same ‘weight’

as that on the right, and 

the topics are related. (In

the example the students

used, the words were

also paired.)
THIS LOOKS LIKE IT TAKES
A LOT OF TIME!
Quite true. However, wouldn't you rather your students learn 7 things well, rather than
racing through 17 things and learning very little?
Which makes you the better teacher?
Don’t get caught in the trap of “content 

envy”! Just because Teacher A covers 

12 novels, or 17 biology units, or 25 

historical events doesn’t mean the students 

understood, organized the information, and will 

be able to recall it again.They will cram for the 

test, then forget most of it.
WE THINK BY ANALOGY—
TAKE ADVANTAGE OF THAT!
Tap into the power of the brain to make learning efficient,
meaningful and durable.
Students like to think—when the task is challenging, yet
achievable.
All information gets interesting 

when it can be deployed to 

solve a meaningful challenge.
WHAT HAVE WE LEARNED?
The ‘conveyor belt’ of units is not effective for durable learning.
Less content can mean more learning.
We think by analogy so teachers should tap into that mechanism.
It’s best when students derive their 

own analogies.
Those who do, learn. The ‘units’
all look the
same!

Yawn…
ABOUT ME
CAROLE HAMILTON
• I’m a retired English teacher who has researched extensively in
how students learn and how best to teach to how they learn. I
hope you enjoy my presentations. Look for my new book on
how new insights from cognitive science can improve how we
teach.
39

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We Learn through Analogies

  • 2. 
 WE THINK BY ANALOGY. SO TAP INTO THAT MECHANISM! “Cognitive scientists have identified metaphors as a fundamental tool of human thought; we use metaphors so frequently and automatically that we seldom notice them unless they are called to our attention. Metaphors are used to structure our experience and thereby make it meaningful. A major objective of teaching should therefore be to help students ‘straighten out’ their metaphors.” 
 Jackson, Dukerich, and Hestenes

  • 3. WHERE DO ANALOGIES COME FROM? FROM INTERACTING WITH THE WORLD. 
 IT’S 100% EXPERIENTIAL LEARNING.
  • 4. THE PROCESS STARTS WHEN, AS BABIES, WE EXPLORE THE WORLD Our first analogies come from the physical world when as babies we explored, made observations, drew conclusions, and compared new situations to previous experience. Many of the most effective analogies are visual or tactile. 30% of our neurons are dedicated to vision. Hearing gets only 3%. So much for our lectures!
  • 5. ALL BABIES DO THIS! THEY CREATE ANALOGIES AND REVISE THEM WITH EXPERIENCE.
  • 6. WE USE METAPHORS AND ANALOGIES EVERY DAY “She took my breath away.” I’ll cross that bridge when I come 
 to it. His comment hit me like a ton of 
 bricks. She stands in the shadow of her famous sister. It’s like Whack-a-Mole: we fix one problem and another pops up! You will overcome this obstacle and reach your goal.
  • 7. WHY DOES LANGUAGE CONTAIN SO MANY METAPHORS AND ANALOGIES? Because we think analogically. When we encounter something new, we try to match its traits to something we already understand.We see if this is another example of a category we have already loaded into our minds and worldview. If not, we create a new category for it. With everyone doing this, of course 
 analogies seep into our language.
  • 8. HOW DO ANALOGIES SHAPE UNDERSTANDING? Metaphor or Analogy Target IdeaAnalogies Map Traits onto
 Target ideas And provides a structure to organize 
 information logically.
  • 9. THIS MAKES SENSE BECAUSE Meta come from the Greek for ‘over, across, beyond’ Phor comes from the Greek for ‘to carry across’ So metaphors carry traits across from the metaphor 
 to the idea being explained. • Analogies (Gr ana = upon
 logos= word) make a 
 comparison, based on 
 structure.
  • 10. HERE’S AN EXAMPLE “She cast her mind back to 1965.” To ‘cast back’ is a metaphor of the mind as a receptacle or pool of memories. This metaphor gets activated by the word “cast,” 
 which is strongly associated with fishing.
  • 11. WHAT TRAITS ARE MAPPED? Casting for Fish Recalling Memories Maps Traits onto Uncertainty-
 what will be pulled up? Variety-lots of 
 possibilities. Murkyness- can’t see into the pool. Contained-
 memories float in a 
 specific pool. Leisure-it is 
 pleasant.
  • 12. AND IT CREATES A FRAME OR SCHEMA FOR INFORMATION Memories are like fish—small, large, beautiful, maybe scary… The pool is a receptacle of 
 memories… To relive the memories, we 
 simply “cast” for a memory… One memory leads to another… Thoughts and feelings arise with the memory…
  • 13. ARE ANALOGIES ALWAYS ACCURATE? Not completely! They tend to simplify the topic, making it more manageable. Sometimes the metaphor colors or skews the topic, as in T. S. Eliot’s poem “The Hippopotamus” which praises the Catholic Church, but the title and repeated references to the ungainly hippo suggests criticism of the Church as not well suited for its mission. Awkward
 Bloated
 Outdated
 Hypocritical
  • 14. NOTICE THAT THE WORD ‘HYPOCRITICAL’ HAS THE SAME VOCAL PATTERN AS THE WORD ‘HIPPOPOTAMUS Hip - po - pot’ - a - mus
 Hyp - o - crit’ - i - cal Eliot’s poem is purposely hypocritical in praising the Church yet calling it a hippopotamus.
  • 15. ANALOGIES MULTIPLY AS WE DEEPEN OUR UNDERSTANDING OF HOW THE WORLD WORKS. New analogies connect to existing analogies, creating networks and 
 domains of understanding that can be accessed more easily.
 
 The connections grow to build a worldview, the analogies get refined to match reality, and newer 
 analogies become more vivid and 
 meaningful.
  • 16. BUT SOMETIMES OUR STUDENTS’ 
 UNDERSTANDING IS INCOMPLETE OR WRONG AS TEACHERS, OUR JOB IS TO HELP THEM CORRECT THEIR MISUNDERSTANDINGS.
  • 17. FOR EXAMPLE Babies learn:When I push, it goes. They don’t learn about friction.
  • 18. THEY CARRY THIS MISPERCEPTION 
 TO HIGH SCHOOL While the teacher explains friction, 
 they think of other things. Not friction
  • 19. THEY NEED TO 
 STRAIGHTEN OUT THEIR ANALOGIES This is so obvious! Can I just tell them how it should be? NO,THEY WILL IGNOREYOU, BECAUSE THEY DON’T REALIZE THAT THEIR ANALOGIES ARE CROOKED!
  • 20. THEY CRAM FOR THE TEST Might even get 
 an A But they forget what they crammed
  • 21. NEVER CHANGING 
 THEIR FAULTY WORLDVIEW It wouldn’t be so bad if it weren’t 
 happening in most classes, most days!
  • 22. SHOULD WE GIVE STUDENTS GOOD ANALOGIES 
 FOR THE MATERIAL THEY LEARN? It won’t hurt, but students will only pick up on a couple of the mapped traits.The best and most durable analogies are those the students create themselves.This is because,“those who do, learn.” Students who process information, develop a theory about it, and create their own analogies gain deeper 
 understanding and better, more long-lasting 
 recall.The material and ideas get organized 
 into the schema and become part of the 
 students’ worldview.
  • 23. HOW CAN WE DESIGN LESSONS THAT HELP STUDENTS CREATE ANALOGIES? 1. Research. Design challenges and experiences that cause students (in groups of 3) to process and understand information, with examples that are clear and focused. 2. Diagram. Have them diagram the entities involved in the topic. 3. Agree. They must reach a consensus on their theory about what happens. 4. Create Analogy. They should derive a suitable analogy or metaphor. 5. Present. And present their findings to the class. 
 In other words,we engineer our classes 
 based on how students learn best.
  • 24. THE STEPS FOLLOW THE MODELING INSTRUCTION TEACHING METHOD Modeling Instruction has students analyze information before hearing theories or formulas. It started in Physics courses, where it consistently led to higher retention rates—from 42% in traditional courses to 69-80% in Modeling Instruction Courses.That is nearly double. It’s now used in Biology, Chemistry, 
 History, and English Literature courses
 . See American ModelingTeachers 
 Association online.
  • 25. EXAMPLE CHALLENGE:
 WHAT WERE THE CULTURAL CONSEQUENCES OF MEDIEVAL TRADE ON THE SILK ROAD? STEP 1 Research: First, students need to learn about the topic.They can Watch part of the 1988 Japanese film The Silk Road” Read excerpts from articles and books on the Silk Road. Watch the humorous youtube history episode “Long Story Short 7:The Silk Road.” (contains inappropriate language) Read “Three Stories from the Silk Road” 
 (online) The teacher selects materials that are clear and focused.
  • 26. NEXT, THEY DIAGRAM THE 
 ENTITIES AND FORCES INVOLVED Step 2: Diagram. Give them erasable white boards and markers to diagram forces and entities. They should use symbols, 
 not words. A force can be an arrow, an 
 entity (the market, a trader) 
 can be a circle or square, etc.
 
 They should show relationships.
  • 27. THEY MUST REACH CONSENSUS ON A THEORY ABOUT WHAT HAPPENS Step 3: Agree. Students discuss and defend their ideas, learning how to change each others’ minds, as well as their own, in order to reach a consensus.
  • 28. THEY BRAINSTORM 
 POSSIBLE ANALOGIES Step 4: Create Analogy. Derive a suitable analogy or metaphor. This analogy shows that as people from different cultures (different colored threads coming in from left) encounter others in the market (box with wavy threads), their ideas get challenged, enriched, 
 and revised.Their 
 interactions form bonds 
 between peoples (woven 
 threads on right) that enrich 
 all of the cultures that traded 
 along the Silk Road.
  • 29. HOW TO BRAINSTORM ANALOGIES Ask, what else is this “shaped” like? How does it make you feel? What else feels like that? Consider other fields: biology, music, sports, history, electronics, art, advertising… Use divergent thinking (free-association, 
 creativity, free-wheeling, outside of the 
 box). Include everything—no judgements yet.
  • 30. MAKE A LIST OF POSSIBLE ANALOGIES Highlight the top choices. Drop the ones that seem less fruitful. Do you need to continue brainstorming?
  • 31. ‘BOARD MEETING’ Step 5: Present. Student groups share their analogies and diagrams with the class at the Board Meeting.White boards are compared, questioned, and defended. Often, other classmates suggest useful improvements.
  • 32. HERE IS PHYSICS TEACHER MATT GREENWOLFE’S CLASS USING MODELING INSTRUCTION
  • 33. SAMPLE ANALOGIES & METAPHORS The Great Gatsby:
 Wealth is a facade
 that masks sadness,
 loneliness, and 
 moral bankruptcy.
  • 34. ANOTHER EXAMPLE METAPHOR Like an open 
 circuit breaker, when 
 politics heightened
 animosities and made
 trade dangerous, 
 Maritime Trade in the 
 Indian Ocean halted.
 When times are safe, 
 the circuit breaker 
 closes, and trade 
 thrives.
  • 35. AND ANOTHER A semicolon acts like a 
 weight balance, where
 the material to the left
 of the semicolon has
 about the same ‘weight’
 as that on the right, and 
 the topics are related. (In
 the example the students
 used, the words were
 also paired.)
  • 36. THIS LOOKS LIKE IT TAKES A LOT OF TIME! Quite true. However, wouldn't you rather your students learn 7 things well, rather than racing through 17 things and learning very little? Which makes you the better teacher? Don’t get caught in the trap of “content 
 envy”! Just because Teacher A covers 
 12 novels, or 17 biology units, or 25 
 historical events doesn’t mean the students 
 understood, organized the information, and will 
 be able to recall it again.They will cram for the 
 test, then forget most of it.
  • 37. WE THINK BY ANALOGY— TAKE ADVANTAGE OF THAT! Tap into the power of the brain to make learning efficient, meaningful and durable. Students like to think—when the task is challenging, yet achievable. All information gets interesting 
 when it can be deployed to 
 solve a meaningful challenge.
  • 38. WHAT HAVE WE LEARNED? The ‘conveyor belt’ of units is not effective for durable learning. Less content can mean more learning. We think by analogy so teachers should tap into that mechanism. It’s best when students derive their 
 own analogies. Those who do, learn. The ‘units’ all look the same!
 Yawn…
  • 39. ABOUT ME CAROLE HAMILTON • I’m a retired English teacher who has researched extensively in how students learn and how best to teach to how they learn. I hope you enjoy my presentations. Look for my new book on how new insights from cognitive science can improve how we teach. 39