[Music] math is my favorite subject to teach and
math is my favorite subject to teach and
math is my favorite subject to teach and learn and what I love about teaching
learn and what I love about teaching
learn and what I love about teaching mathematics and learning what
mathematics and learning what
mathematics and learning what mathematics is finding patterns how many
mathematics is finding patterns how many
mathematics is finding patterns how many of you remember the order of operations
of you remember the order of operations
of you remember the order of operations or bad math what I like to put this
or bad math what I like to put this
or bad math what I like to put this question is that you have to work from
question is that you have to work from
question is that you have to work from the inside out to get the answer whereas
the inside out to get the answer whereas
the inside out to get the answer whereas in this question from calculus to find
in this question from calculus to find
in this question from calculus to find the derivative or slope of the tangent
the derivative or slope of the tangent
the derivative or slope of the tangent line you have to work from the outside
line you have to work from the outside
line you have to work from the outside in using the chain rule these two
in using the chain rule these two
in using the chain rule these two examples remind me of the Russian
examples remind me of the Russian
examples remind me of the Russian nesting doll where one doll is nested
nesting doll where one doll is nested
nesting doll where one doll is nested inside another it’s a metaphor for order
inside another it’s a metaphor for order
inside another it’s a metaphor for order in place order in place is important in
in place order in place is important in
in place order in place is important in mathematics but there’s also
mathematics but there’s also
mathematics but there’s also opportunities to play so for example to
opportunities to play so for example to
opportunities to play so for example to solve this linear equation you could
solve this linear equation you could
solve this linear equation you could subtract 5 from both sides as seen on
subtract 5 from both sides as seen on
subtract 5 from both sides as seen on the left and work from the outside in or
the left and work from the outside in or
the left and work from the outside in or you could divide both sides by 2 you
you could divide both sides by 2 you
you could divide both sides by 2 you first and work from the inside out both
first and work from the inside out both
first and work from the inside out both solutions are mathematically correct
solutions are mathematically correct
solutions are mathematically correct this on the other hand is not this is
this on the other hand is not this is
this on the other hand is not this is what I call making math happen yes there
what I call making math happen yes there
what I call making math happen yes there was multiplying dividing and subtracting
was multiplying dividing and subtracting
was multiplying dividing and subtracting and adding but the rules weren’t
and adding but the rules weren’t
and adding but the rules weren’t followed and concepts were misunderstood
followed and concepts were misunderstood
followed and concepts were misunderstood hence the wrong answer or conceptual
hence the wrong answer or conceptual
hence the wrong answer or conceptual error 7 years ago I too experienced a
error 7 years ago I too experienced a
error 7 years ago I too experienced a conceptual error I wasn’t following the
conceptual error I wasn’t following the
conceptual error I wasn’t following the rules concepts were misunderstood and
rules concepts were misunderstood and
rules concepts were misunderstood and they’re left teaching what I wanted to
they’re left teaching what I wanted to
they’re left teaching what I wanted to do was to play create try something new
do was to play create try something new
do was to play create try something new so I just assumed all of these other
so I just assumed all of these other
so I just assumed all of these other roles in education I teach at the
roles in education I teach at the
roles in education I teach at the University I’m elected to be a school
University I’m elected to be a school
University I’m elected to be a school trustee and I’m a bit of a Twitter
trustee and I’m a bit of a Twitter
trustee and I’m a bit of a Twitter junkie from these edge you experiences
junkie from these edge you experiences
junkie from these edge you experiences though I was able to look at the school
though I was able to look at the school
though I was able to look at the school system through different lenses and what
system through different lenses and what
system through different lenses and what I realized is that the school system is
I realized is that the school system is
I realized is that the school system is structured much like the Russian Russian
structured much like the Russian Russian
structured much like the Russian Russian nesting dolls where there’s order in
nesting dolls where there’s order in
nesting dolls where there’s order in place for example the large dog may
place for example the large dog may
place for example the large dog may represent the Board of Education
represent the Board of Education
represent the Board of Education followed by senior management school
followed by senior management school
followed by senior management school principals teachers and support staff
principals teachers and support staff
principals teachers and support staff and the students in the middle at the
and the students in the middle at the
and the students in the middle at the heart of what we do in this
heart of what we do in this
heart of what we do in this conceptualization the size of the doll
conceptualization the size of the doll
conceptualization the size of the doll does not represent power or importance
does not represent power or importance
does not represent power or importance but relative distance from the student
but relative distance from the student
but relative distance from the student as a teacher I was the closest to
as a teacher I was the closest to
as a teacher I was the closest to students in student learning
students in student learning
students in student learning and it looked at the system from the
and it looked at the system from the
and it looked at the system from the inside out as a school trustee I look I
inside out as a school trustee I look I
inside out as a school trustee I look I don’t have direct access to students
don’t have direct access to students
don’t have direct access to students that be playing with the trains but I do
that be playing with the trains but I do
that be playing with the trains but I do have influence on student learning but
have influence on student learning but
have influence on student learning but in a different way and I look at the
in a different way and I look at the
in a different way and I look at the system from the outside in and each role
system from the outside in and each role
system from the outside in and each role has responsibilities but each role has
has responsibilities but each role has
has responsibilities but each role has limitations like math multiplication
limitations like math multiplication
limitations like math multiplication can’t do what subtraction does
can’t do what subtraction does
can’t do what subtraction does reciprocating is not the same as square
reciprocating is not the same as square
reciprocating is not the same as square rooting so it’s going to take all of us
rooting so it’s going to take all of us
rooting so it’s going to take all of us in the system like all of the operations
in the system like all of the operations
in the system like all of the operations in math to get the right answer so we
in math to get the right answer so we
in math to get the right answer so we can thrive together we create a ripple
can thrive together we create a ripple
can thrive together we create a ripple effect for our students we create a
effect for our students we create a
effect for our students we create a difference in their lives and in their
difference in their lives and in their
difference in their lives and in their learning regardless of what role we play
learning regardless of what role we play
learning regardless of what role we play so imagine where to look for your
so imagine where to look for your
so imagine where to look for your students and look for ourselves if we
students and look for ourselves if we
students and look for ourselves if we were all cooperative learners critical
were all cooperative learners critical
were all cooperative learners critical thinkers good communicators and dare I
thinkers good communicators and dare I
thinkers good communicators and dare I say math gurus because whatever we want
say math gurus because whatever we want
say math gurus because whatever we want for students is what we want for
for students is what we want for
for students is what we want for ourselves so if you feel that you’re
ourselves so if you feel that you’re
ourselves so if you feel that you’re left out or you’re at odds of the system
left out or you’re at odds of the system
left out or you’re at odds of the system what are you going to do about it your
what are you going to do about it your
what are you going to do about it your alignment matters what is your role in
alignment matters what is your role in
alignment matters what is your role in education what kind of impact you have
education what kind of impact you have
education what kind of impact you have on student learning what impact would
on student learning what impact would
on student learning what impact would you like to have my challenge to you is
you like to have my challenge to you is
you like to have my challenge to you is to find your place for me it used to be
to find your place for me it used to be
to find your place for me it used to be math teaching mathematics done with
math teaching mathematics done with
math teaching mathematics done with school trustee and maybe I’m gonna write
school trustee and maybe I’m gonna write
school trustee and maybe I’m gonna write books but what I do know for sure is is
books but what I do know for sure is is
books but what I do know for sure is is when we are aligned we don’t just make
when we are aligned we don’t just make
when we are aligned we don’t just make ripples in the system together we make
ripples in the system together we make
ripples in the system together we make waves
waves
waves thank you
thank you
thank you [Music]
[Music]
[Music] [Applause]
[Applause]
[Applause] you
”
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