everybody i'm kim and i'm coming to you from uh peterborough today and patty our math
marketing manager is uh going to be monitoring the chat and she is coming to you from toronto
today and we have people from all corners of canada with us today that's
exciting to see um it's also helpful for me to know uh where you are with mathology so
um are you just trialing it currently so in other words you're just
looking into interest have you already purchased it and so you have your subscription in mathology.ca and you're
using it or you're using some of the cards or little books you can kind of put your context into
the chat that would be helpful making sure that the blue button says panelists and attendees before you
do so
so are you just starting with mathology.ca do you have a trial
are you just interested in it
terrific terrific so we have a couple of trials
starting we've got a couple of purchases starting and a couple that have been using it for
remote learning so ontario is in fully remote learning currently
and alberta i believe is in fully remote learning now and um we will be talking about
how to use some of the resources both virtually and in class at the same
time hence our opening uh picture here is um
a picture of somebody doing math but i can assure you that the activities we're going to find in mathology.ca
um are going to be very engaging terrific and anne also uses the books in
french immersion grade one yes and enjoying it and sharing it online so those that are just new i'm
going to be able to show all those pieces we're going to take a look today through a lens of fractions
and show different examples along the way in different grades and how this
idea of fractions is built from grade one to three by looking at that pathway and looking
at the resources that can support your students so let's start
with um doing a little bit of thinking about math if your students were looking at some of
these pictures from it's a math little book from grade two
uh i think it's called the best birthday surprise and they are making uh they made a rectangle blueberry
pancake and now they have to share it and so if you take a look at one of the numbers what might your students call
this sharing so in the chat or opening up your mic you might say well if my students were
looking at one they would call it this if they were looking at number five they
might call it this and so let's just pop some of that thinking into the chat or
opening up your mic
number four they might think of that as partitioning or breaking it apart into equal pieces yep so they might be just kind of
looking at it and visualizing what that in their mind right without doing anything they might just look there in their mind and think
this is this is what it would look like thank you if mine were looking at number
three they'd be saying how come somebody's getting a bigger part than i am
that's right if we if we look at just the two parts they see hmm maybe the the measuring
or however this uh little boy is doing it might not necessarily the best way to
get fair shares right i think it would be good for fair share
yeah yeah yeah yeah as long as i get the fairer share [Laughter]
yeah that's like my son when he was two he thought sharing was when somebody gave him something so he would always
walk around very proudly say i share i share that's the same type of thing isn't it
that's great thank you so as students are coming to understand
fractions they start to use more math vocabulary and they start
using different strategies and skills you know often they start by simply
folding folding paper folding pieces and then they might use something to measure
in number two is using toothpicks to try to get that fair share in
number three they're using counting which for some things might work but for
different sized blueberries we're going to end up with different sized shares for number three they're actually
doing some cutting which unless you do some sort of measuring or counting sometimes that's
not working out very sh fairly as was talked about we've talked about that
visualizing and cut and visualizing the actual aspect of it and by the time we get to five and
thinking about the muffins pretty hard to cut the muffins
but it's very easy to group them into fair sharing so we can see how fractions
starts really really early with our students and we can help build that understanding
through different resources in mythology this is from the best birthday a grade 2 book
the one of the benefits i found with mathology is that it's built on a
learning progression it's built on 13 big ideas that move
from kindergarten on the left to grade three on the right and then there's another set for grades four to nine
in that it takes the ideas of mathematics and then chunks
them out over time and this is a synthesis of both research and
uh curriculum across canada so you could look at your provincial curriculum and
you could find it within these spaces sometimes different curriculums might be
different grades but we all start by visually comparing fractions by the time
we get to grade 3 most provinces are comparing related fractions they're
looking at same numerators and denominators they're looking at unit fractions
in grade 3 getting ready for more complex things in grade four and the benefit of it being built on a
math learning progression is it's it's baked into the product and so
the more i use mathology in the activities the more i'm as a teacher i'm going to learn
about the mathematics as i go and so
sometimes as we talked about earlier sometimes students fold
and then they're trying to do fair shares and then they realize wow this really isn't
uh fair sharing it is cut into two pieces but it's not necessarily fair sharing
and they're very aware of what is equal and not equal in terms of fair sharing and so
just that idea of visually comparing fractions is very common amongst our young
students as they move up they start partitioning those holes
and so in grade one there are activities that work with
equal groupings and some resources like line masters that help
them record their ideas there are digital tools that help uh you as a teacher either project at
the front of the class or students can work on it if they've got chromebooks or something like that you
can share that digital tool with them and they can be using this to make fair
shares or equal groups as well and we're going to take a look within mathology.ca
of what these things look like and then uh talking about what they might look like
in the print piece in the cards or the books so let's take a look at this so how
might these materials help children to explore equal parts
what might students do with some of these things to explore equal parts
and again you can open your mic or you can put an idea in the chat
yeah christina they might cut the string and put it into two equal parts
with the paper strips they could fold them up and partition them into halves and quarters and continue on
from there yeah so they might start with something if you have to share it with two people
what would it look like so they divide it into half and they start using some of that vocabulary what
happens if you have four people you need to share that strip with what would that look like and they can continue on from there
that's great and so your students come to know some
of the fractional names you know easy things like half
thirds and even as we get going they might start talking
about force as they get going and have to name something that's compartmentalized into
four pieces and so they might fold it they might cut it
they might draw lines and then they start learning the vocabulary of fourths
and this is the idea of partitioning the holes into equal parts and they start naming
the unit in some way they may not know the convention one fourth
but certainly they're going to name it something different than one half
as we get into mathology there are print pieces grade one to three and there are
mathology.ca pieces basically all the print pieces
are incorporated into mathol g.c and we're going to take a look at that if you have the print pieces this is
basically what at a lesson looks like and we see that
there are features that support teachers things like it's written in a three-part lesson we've got a before
a what to do in a consolidation there are examples of what to look for
in the math there are examples of probing questions that teachers might want to use as they
do the lesson at the top it's always the list of materials that is there
and on the other side of the teacher card is the assessment tool that is a piece of the learning
progression that i showed you earlier with more steps along the way starting at the top left where the
student doesn't recognize or even describe what one half is all the way to where a
student can partition whole into equal parts and can accurately describe the parts using fractional names
and we know there are steps along the way that students will be at and then
there is the support of the next step to move them along that continuum and so when we look
at a card this is what it looks like in a digital aspect it'll look a little differently
and so we start looking at paper folding and they start comparing fractions now
they've named them they've given them a name they start comparing them this is the same size of
whole but now they can divide them up into more pieces and so they start
relating the size of these parts to the whole
and then as they move into grade two they're really starting to represent
those pieces so they've named the pieces
they're starting to compare the pieces and now they're representing them with tools like relational rods
and picture representations and so we can see from this student
that they have the relational rods correct they have the whole they have the light
greens as halves they have the reds as thirds
but when we look up into the representation we see that the actual partition
isn't exactly correct they've got the two thirds in half and then one
third colored red in the other half and so the student has some idea
of representing but when it comes to actually drawing the representation there may be
a little bit more work to go and so we can place that
student along these skills that they have infractions knowing that
they're not really at number six yet so there's still a little bit of work to go
to get the student there but by matching with what the student does to what the assessment says it's really
easy to know where to go next and so this is where they get into later
grade two where they're comparing some of those unit fractions and determining that relative size
using you know concrete materials and also that idea of pictorial representation
so let's take a look at mathology.ca and take a look at
this is exciting math that your students can do we just have to have the right tools in front of us to engage the
students and in mathology.ca i'm going to show you some great
things that can happen there so i am going to just pull this down for
now and um pull up my mathology.ca
and get that going
there we go so here's my home page and a home page
looks fairly similar i've done a few more pins on mine yours would be blank but what we've uh
pinned to the front is grab and go lessons to try today so these are little books in grade one to
three and some activity cards later that can support uh fraction
learning and comparing and contrasting numbers so we're going to take a look at a couple of books first so if you're
brand new to mythology this is where you might want to start and then in a little bit i'm going to
show you some long range plans and kind of how they work to get into some of the activities
so let's just go to the grab and go it's got some little books here and it's got a
folder of interactive tools so we'll come back to the interactive tools in a minute i'm gonna take a look at little books
let's take a look at the best birthday so um it has three tabs about lesson and
differentiated support with some stuff in behind there pages of stuff
and at the beginning it gives us a good overview of information about
the mathematics of this book along with where they are on that
learning progression in blue and where they're moving to in white so let's take a look at
this is showing me the ontario curriculum expectations because i'm in an ontario account
if you are in your provincial account it will be showing you your matching curriculum expectations
and then when we go to the lesson everything is the same doesn't matter where in canada you are and one of the best features
is this little link on the bottom and i think that there was someone in the chat
that said that they already used one of the little books and this one might be
the next one and it's great because
it has a read and listen feature that is simply by clicking
clicking the arrow it can read to the students so again this can be projected or it can
be shared with students they want to read it at home you might want to put it in a newsletter by copying and pasting the url or
putting it into your virtual school so simply by copy paste it if you've got a
google classroom you can put it in there when students click that link they come
right to this front page right here and they see exactly what we're seeing here
so they can read and listen to the book or there's a digital activity that they might want to try
so this gives them the activity share the 10 counters in 10 equal groups
oh two equal groups so it would be interesting to know how they might do it
so if you're teaching virtually and you're sharing it you know they might do this and they
might have it done or you might be asking them how do i
want to move them so some might say you know move
another one there another one there oh enough now start the other group another student might say well we've got
we know we have 10 here so they might say two groups okay so one
for one group one for another group so it'll be interesting to know how the students are actually making
the equal groups and then sometimes there's another
activity share the counter say sharing eight counters in four equal groups so again by projecting
it and having a conversation or by sharing the url and students doing
it they can practice with this tool and
come up with some ways of sharing their work some teachers virtually have taught
their students how to do a screen capture and send it back
others they might use this as a discussion point and they've taught their students how to share their screen so there's a variety
of ways that teachers have worked virtually and in the classroom it might simply be
a projectable that you're having either a small group or a large group conversation with it
and so with the book it gives some ideas on introducing the book and then
after the reading you have access to all the line masters which include
both connecting home in school so a nice little newsletter that you can give some ideas for home
practice and a lot of these are actually good for virtual teaching so you might want to take a look here
and find something actually for your virtual teaching for you to use as a teacher
it always gives an assessment master with the oops i'm clicking the wrong one here
maybe it's listed as the wrong one oh i'll have to go back and fix that so
here is the home and school line master
if you're in school this can be shared as a digital document it can be
downloaded and printed and sent home in backpacks so many different ways to share
the information it always gives some ideas of activities so
pancake shapes let's take a look at that one so even something like this it might be
you know how might you share one pancake with two friends four friends
how might you share four pancakes with three friends
so again in class this is an easy thing to do to print out and to have available for kids to
manipulate when we're teaching virtually we have to be a little bit
creative and that's where you might want to go to a digital tool
so what i'm going to do is i'm going to go back to our grab and go lessons for today i'm going to go right back to the
beginning they're right on the front page and i'm going to go to the very top folder and that's interactive
tools so there's a variety of interactive tools that you can use
um within your virtual school or uh face to face and project it
so i am going to take a look at
fraction shapes and i'm going to take a look at modeling fractions yeah so this is where
i can just change it to a different shape and there's one of my blueberry
pancakes so i might say you know how might i
share that with two people the features of this tool is the hammer
uh cuts it in half usually i show my labels there's one
i want to cut it in half so there we go there's a half each if i want to
now share i want to get rid of that i'm going to erase my
i'm going to reset all so now if i want to share my pancake
i have let's say i've got four pancakes i've got one two
three four pancakes just like the line master and
now i have to share them between three people well most kids will say you know one for
you one for you one for you and we're left with one left over so what might they do they
might say well let's share it with three people so i'm going to bring up my hammer and i'm going to
share it with three people and so i say okay so now what do i do i've got it cut into three
now what do i do oh one piece goes to one person now that's all equal they have
the same amount of pancakes so it can be done with paper or it can be done with a virtual tool
if you have questions about how does the virtual tool work they're very simple there's very simple
tools you can just go to the question mark here and it brings up a pdf tutorial
that shows you what the different functions are really really quickly
and so this tool then can also be shared with your students
because it's just a regular url so they can be doing some practice
as well so again you can copy this put it in your virtual school or share it with students and on their
own computer they can be manipulating things like this also so with primaries it's taking it
slow and teaching them you know one of the tools and the different features
before they actually use it and then once they start using it over and over again
they um they get really used to working it
so i went between a little book and then i came back to my grab and go
to get my interactive tools and so when i take a look at grab and go
3 i can find another fraction book for grade three here's hockey homework right here and it
works the same way it's got it about here's your lesson all the pieces
differentiated support it always has that assessment master at the top
that you might want to use for your information and usually the last line master or the
last reproducible is some sort of word problems that go with that idea
so we've taken a look at a couple of the grab and go lessons with the little
books i'm just going to stop for a second to ask is there any particular questions about the little books in mathology.ca
you have access to 72 little books different grades in print they do come in the grade
packets and kim we had a question about if
you're on a 30-day trial are you able to share the math little books the activities
that go with them and the interactive tools and yes you can yeah the 30-day trial is everything like
you've purchased it you get access there's there's nothing hidden from you it is everything is there for you to give it a
really good go and see if it uh fits your needs and fits the needs of your students
that you have all that just go to the grab and go right at the front when you open up your subscription
it will be pinned right to the front and that will give you the a little book in each
strand for each grade that's really really quick to find
are any special codes that are needed to access the free trial
patty uh no there it no there isn't um what i'll do is i will put um a link in the chat um if
you haven't started your trial yet um use that link and it'll just ask you to sign up for the free trial and once
you've done that you're good to go
yeah so uh now we're all hungry for blueberry pancakes right seeing all the different ways we can
manipulate it and share it so hopefully if you make them you have somebody to share your pancakes with
okay so let's take a look at um some functionalities in mathology.ca so
you might just want to grab and go and take that you might want to look a little bit further at
everything else that is in there including the activity cards the assessment tool the planning tool
so if you've already got your plans made and you just want to search for something you can search by
topic and you can find something for your grade really really easily i can just do counting and i can search
it brings me to what i call my magic sorter tool and i'm going to go i usually go right
to left so i know that let's say i'm in grade one i want to just do the number strand i
might just want an activity and i've got 28 results
so i'm looking down here and i might be um at this time of year
i might be doing some composing and decomposing so i might pick that activity so that is
one way to search we can always search by curriculum so right here i've got my
ontario curriculum here but i can just go to number i can go let's say to
operations and [Music]
let me go back here again so i might look at number sense and i might get some fraction stuff and
so here's my fraction stuff for grade three but one of the best ways uh if you want
to try it uh for you know for next week and grab a book great go to the grab and go lessons but if you
want to try it for 30 days or if you're already using it the best way to go
is to pull up a plan from your grade by going up to the top and going to all plans and i am going to
go to a sample plan i've got a lot of my plans in here because this is a demo account
but the second bucket will be sample plans so i'm going to pull up a sample grade 1
plan and i can find things in here these are
all kind of units and if i click on a unit um kim sorry can we just show at the top
that the the interactive tools are listed together at the very top yeah so whatever sample plan you pull up
the interactive tools are always the very first folder by clicking on it then you can click
into anything just like the modeling fractions we did and share that with your students
so you can't share this page because this is within mathology it says
etr mathology at the top so this page is for you as a teacher but
you can share individual tools with your students by sharing that url
okay so i'm going to go back here so this is my sample long range plan i can
find things like by clicking it but if i want to make it my own and have the ability to move things
around and take things out i'm just going to click this green button up here that says use sample plan
i'm going to name it um as something and then in a few seconds
what will happen is we'll see a third column pop up here on the right
which is basically that same sorter tool so i can add things and take things out
if i want or if i've got a combined grade i might start putting things in but this is one of the best ways
to find things you need because i know in the left-hand column
i have everything for my grade one there all the books and all the cards for grade one are there
so for grade one um there's not actually a unit called fractions but it
is in composing and decomposing there's some fraction ideas because you
are putting things together and taking pieces apart um groups apart that's kind of how it
starts for grade one so we see here that each of the units starts
with a book or two and i know it's a book because it's a vertical picture and then it's got some cards
i know it's an activity or a lesson if it has an example of some student
work or if it's got a little yellow bar here that's for
grade one okay so let's take a look at composing
and decomposing equal parts this was the picture that we used in the workshop in the
in the powerpoint so again just like the book it gives us a little bit of information at the front
and where they are on that learning progression and then within the lesson that's where we're going to find all the
pieces we need for teaching the benefit is everything is here it's
just like the print uh piece for grade one and two
they have these teacher cards in print that all this is on the front of the card
and we can see again it is a three-part lesson with a before a what to do and a
consolidation so again you know if we're in school
it's easy to do the what to do you know by giving them paper strips paper
rectangles string if they're at home they're going to have to gather some things
and then have a conversation about that they obviously can't work
with a partner per se um although some teachers have
made that work in a variety of ways but again having uh conversations
is how might you share it um and then they can be holding up what
they're actually doing and so this gives um a way to
adapt adapt pieces of what you're doing virtually or to use it if you are lucky enough
to be face to face with your students right now an advantage is sometimes it gives a
visual image that you might want to use or you might want to copy and put into a powerpoint so that then you can
manipulate lines and things on the top and at the bottom
this is another place where the interactive same interactives live but again
it's very easy for virtual teaching here's that same virtual tool on the
bottom and so we don't have to go looking for it
when we're working with the students we might take some time as they're
working and if we've got access to another piece of a computer or we might
just take our notes so that when
when um students are working or you know after if i've taken some
notes on little stickies or something beside me i might have noticed that uh
angeli and sam and henry they were um they were able to partition
a hole into two parts but they had really difficulty kind of partitioning it equally into the
other parts or naming the other parts maybe i saw
liam and jamal and you know they were um they were really
partitioning the holes into equal parts and they were able to describe the parts and maybe that's all i noticed for today
i didn't notice any of the other students and so over the unit of time over
seven or eight activities you would notice pieces from different students and be
able to drag and drop them so the benefit of this is one you can type
notes in by clicking their name it always date stamps it and now that i know that they can
equally partition two parts but have difficulty with the other parts i can click next steps and it either
tells me in the moment or it gives me a link to a little mini lesson that i might want to do with them
so it really helps me think about what is my next steps for groups of students or if i have a
lot of kids in kind of one area what might i want to do next so
i might want to go over to the differentiated support so depending where my students are and
how they do in that activity i might want to do another on-grade activity
partitioning holes into parts with some materials or i might get them to do some
practicing some of the students might have difficulty
making the parts equal so here's a nice little lesson and a practice for the students to do
with any reproducibles just clickable right there or any illustrations are
there for me as a teacher but again teaching virtually i might want to take a screenshot and
use those as conversations and then um maybe i want to do more
stuff with the whole class and so here's some more ideas for the whole class
and then i might go back to my unit or i might look down here to find out
what are some other um lessons that are like this lesson that i would like to do on grade
and it gives me a variety usually in the order that they are taught in
so i can click on this as my next lesson or i can go all the way back to my plan
take a look i was [Music] composing and decomposing equal parts
maybe i have done most of the others and then maybe i want to go on to the
consolidation so when we're looking at the actual activity lesson
it also has the assessment support that's here that is digital
but it also has a pdf or word uh oh i can't uh it's hard to rotate in
this place if you rotate it you basically get the same sheet that you can start taking
notes in so you can download this and do some printing in it or you can do it digitally and keep your notes that way
too so it is the same assessment it's moving along the learning progression
but there's different pieces that you might want to use depending on your style
of how you take your assessments so there's lots of pieces to a lesson it
has a basic lesson and the basic lesson is just like this in the print but the addition of the
differentiated support is available here in mathology.ca because
now this one lesson might go on two or three days again depending on what they do
what i see them do and where i want them to go so even though this is says intervention
students difficulty making the parts equal make maybe a lot of my classes having that difficulty so i would want
to either do that little mini lesson with them or i would get them to do some more practicing
by this example here so again depending on how you are
teaching um it's up to you how you organize your lesson and what you share how you share with
the students it if you're face to face it might be a drawing on a chart board
if you're doing virtual it might be a screenshot of this that you would have a
conversation about and so the unit often can start
with one of the books and have conversations about it and each unit always ends with a
consolidation activity that has a few different assessment
supports for you that it has the overall assessment
that you can do your observations it has a checklist naming the activities where
that idea comes from and it also has an individual if you have a couple of students you need to
keep a closer watch on for that unit you can be using this
over the time of the unit that again they assess the same thing
it's just different tools to assess it depending on what your preference is so i'm just going to stop for a minute
and is there something that you saw that is going to be helpful to you so you can
either open up your mic or you can pop it into the chat
is there a section of the lesson that you find you know that's going to be helpful for
you and your students
c
what i really like are the look force in the lessons uh for some of our
teachers who are quite young and don't have a lot of experience
um the look force can be very beneficial and they are great and they're really
written in uh you know a simple language um again math is a bottomless pit i've been in
education for many many years and you know i'll i'll never know everything about math
and sometimes when i'm looking at these look fors i'm like hmm not really i wasn't really so aware of
that the other thing that really helps with the planning is if you take a look at
the professional learning and these videos are called
learning highlights so they are available uh grade one or two right now and
they will give an overall not of the task they give an overall of the student
thinking that you're looking for so let's just
as students work on showing a number in many ways pay attention to which materials they choose
oops are they sticking with materials they feel more comfortable with or are they using different materials
flexibly as they represent a number in different ways are students decomposing and composing
randomly or are they following a strategy that ensures they find all the ways
do they start from scratch each time counting and recounting to make sure or do they rely on known
facts to consolidate display some of the recording sheets as a way to illustrate
how numbers can be shown in many different ways using many different materials take the
opportunity to highlight on each sheet how the total number stays the same no matter how
objects are arranged [Music]
and so there's so many different pieces that are helpful to you the last thing i'm just going to click
on is an analytic tool that will compile the information
for you [Music] and uh show you lots of things
uh i don't have a demo class selected right here it's not coming up there we go
um that will compile things for you so i showed you a lot about the features if you want to go you can just click
what's new and it will give you getting started
tips in both a pdf and little videos about making a plan about using all the
assessment tools so if you want to learn more about that it's just clicking the what's new on the
left hand side and you will find all that
and so um i just like to wrap up a little bit with a couple more slides
and we'll answer some of the questions that
are in the chat pot as well so let's just
start from here and let's go forward
and so as i get into grade three they're starting to really look at
different types of fraction models and they're going to
my screen has just froze so i'm going to have to pull it out
again and pull it up
we'll do start from there and so the learning progression um
is just baked into the product with students starting with ideas about fractions there's little books there's
activity cards there's lessons there's virtual tools there's the look fors there's
professional learning embedded and so that you can ensure that your students are getting
the best ideas and the best learning possible and so patty did you want to talk a
little bit about for those that are new what's available for them
sure kim um so it's usually at this point when people ask us how much is a license for mathology.ca so inside
a teacher license so mathology.ca is a is a teacher planning tool um and
kim showed you some of the resources that are in there for grades k to three but they actually
a mathology.ca license gives you access to all lessons from kindergarten to grade six right now um
so lots to choose from inside and so a single teacher license for one year is 175. um you can also um
talk to your principal if you're interested in a longer license um there's a five-year license as well
for 665. and again you have access to all the math little books inside all of
the activities from the activity kits videos those interactive tools that kim
showed you i think everyone has re they've really appreciated those during especially during virtual uh teaching and learning so
there's a lot of value inside of mathology.ca for that one teacher license
it's great and so we have some some savings this spring if you're
interested that uh purchase of a single teacher license actually gives you some discounts on the print
components whether it's the math little books or the activity kits if you buy a one one-year license you can save 15
um and if you buy the um longer license you actually get 25 on off the print
components as well so lots of ways that you can save on mythology this spring
great thank you and in addition we do have professional services that come along with
per with purchases things like getting started mathology webinars there's
uh other offers of customized math coaching um that are available as well and you
can follow us on social media you're not following us directly following teachers that are using them in a variety of ways and
they're great about posting visuals so you can get ideas for your classrooms and so that's
at uh pearson uh isn't it pearson mathology or pearson
math all alone it's pearson mathology right patty yep either one of those will get you
where you need to be okay and we also have a mathology
community on facebook um that you can just search for mathology community it's our community group that
we support each other as we are using the resource so
you can get a free 30-day trial just by going to pearson
and clicking up for your 30-day trial on the bottom blue button there
and so uh i hope that you can go to the grab and go and find one of the little
books that's helpful for you to use with your students right away or load up a sample plan if you want to get
to some of the activities so i am just going to take this
link and encourage you on your way out to click the link to give us your
personal feedback we take it very seriously and products
are changed according to your feedback so we encourage you to click that on your way out
and that if you are looking for support from your region that you can
just contact one of these people on the screen so