Created by Bill Ellwood-retired Maths Teacher based in Christchurch ( have a set so can really recommend them.)
Parents, Teachers!
I have just written 3 weeks of Daily Dollar Maths problems
for Year 1 students. 5 and 6 year olds!
Wide variety. Many from Mathsweek which I used to write!
Contact me if you wish to have them.
I will send them by return email. No charge. 3795 Kb pdf file.
Regards,
Bill. bill @mathsdigest.net
Tuesday, 31 March 2020
Monday, 30 March 2020
Co-Ordinate Noughts and Crosses(Tic Tac Toe)
A nice little activity for some of the older children. It reinforces their understanding of using Number Pairs to find points on the Graph.
Remember with a Number Pair (3,4)
the first number, 3, is always the X axis(Horizontal) so three steps across
the second number, 4, is the Y(or function of X) so four steps upwards.
With normal Noughts and Crosses we usually put the X or the Y in a space, here we put it at the intersection of (cross point) of 3,4
Perhaps tomorrow I should resurrect "Battle Ships" on a coordinate Grid?
Remember with a Number Pair (3,4)
the first number, 3, is always the X axis(Horizontal) so three steps across
the second number, 4, is the Y(or function of X) so four steps upwards.
With normal Noughts and Crosses we usually put the X or the Y in a space, here we put it at the intersection of (cross point) of 3,4
Perhaps tomorrow I should resurrect "Battle Ships" on a coordinate Grid?
Sunday, 29 March 2020
Why Mathematics Matters-Prof Bill Barton Auckland University
I just came across this clip of Bill speaking at Limerick University in Ireland (2013)
https://www.youtube.com/watch?v=FpnimKeQPS8
Bill Barton, some of the older people who read this column, may remember fronted a series of TV Programs on TVOne!! probably 20 years ago. I know I suggested to him, last time we met, that they should be re-aired, he was not so sure!!!
In this Keynote he talks about the need for all students to be competent and find maths pleasurable/enjoyable, not necessarily in the whole gamut of maths but in one small area.
He suggests that the Timms and Pisa Tests should be seen for what they are Longitudinal Studies of where we are NOT ranking systems
He also suggests we are not the problem with the academic success or not but our curriculm and lack of ongoing professional development as happens in nearly every other profession - During Work Time not at the weekends!!!
Above all we should be not allowing any students to fail-we need to change the curriculum- and we should not be using Mathematics as a Gatekeeper.
It is time we as teachers/educators took the power of driving school/national curricula back into our hands.
For those who know he mentions, in passing, the work of Jo Boaler!
https://www.youtube.com/watch?v=FpnimKeQPS8
Bill Barton, some of the older people who read this column, may remember fronted a series of TV Programs on TVOne!! probably 20 years ago. I know I suggested to him, last time we met, that they should be re-aired, he was not so sure!!!
In this Keynote he talks about the need for all students to be competent and find maths pleasurable/enjoyable, not necessarily in the whole gamut of maths but in one small area.
He suggests that the Timms and Pisa Tests should be seen for what they are Longitudinal Studies of where we are NOT ranking systems
He also suggests we are not the problem with the academic success or not but our curriculm and lack of ongoing professional development as happens in nearly every other profession - During Work Time not at the weekends!!!
Above all we should be not allowing any students to fail-we need to change the curriculum- and we should not be using Mathematics as a Gatekeeper.
It is time we as teachers/educators took the power of driving school/national curricula back into our hands.
For those who know he mentions, in passing, the work of Jo Boaler!
Pentominoes-exploring with 5 Congruent Squares
Pentominoes, once found, can be used for all sorts of explorations from tiling a space to deciding which ones will fold up to making an Open Box (a cube with out the lid!)
Start with having 5 squares about 2cm a side made out of cardboard(easier to use than paper ones) or plastic squares from Lego or Duplo.
The rule is that each full side of a square must attach to another full side. No half to half!
Enjoy the exploring and creativity.
(I would love to hear about some of your creations with using Pentominoes along with Justifications about the number of Pentominoes you found)
Start with having 5 squares about 2cm a side made out of cardboard(easier to use than paper ones) or plastic squares from Lego or Duplo.
The rule is that each full side of a square must attach to another full side. No half to half!
Enjoy the exploring and creativity.
(I would love to hear about some of your creations with using Pentominoes along with Justifications about the number of Pentominoes you found)
Saturday, 28 March 2020
Skunk or Pig
Skunk, is an adaptation of the traditional game of Pig.
In Pig a player rolls two dice, adding the numbers shown, in an attempt to reach 100. They can roll as many times as they like, recording their total when they stop rolling for that round.
If a 6 is rolled then the score accumulated in the round is wiped out.
Should two 6's be rolled then all scores for the player are wiped out
In either game there is the practise of addition and the underlying concept of probability(what is the chance of a 6 or two 6's being rolled) in Skunk 1 or two 1's
Friday, 27 March 2020
Geometry Chess
Using a chess or draughts board that you have hidden in the cupboard and some counters (two different colours) we can make Squares or triangles etc on the board.
Remember Vertices(1-vertex) are the corners of a shape- A square will then have 4 vertices.
Remember Vertices(1-vertex) are the corners of a shape- A square will then have 4 vertices.
Thursday, 26 March 2020
Create Your Own Puzzle
Mathematics has for two long been based around being taught specific skills and students learning them. There has been little creative or exploring, so many children(and adults) never see the creativity and beauty in mathematics.
Create Your Own Puzzle is a simple creative exercise that can be repeated time and time again, as all it requires is a pair of scissors and some card (cereal packet) Younger children can start with a one cut puzzle and learn how to put a siblings puzzle together, then expand to two cuts and then three cuts. Any more than three cuts makes a very difficult puzzle- good for Teach or Mum and dad!!!
Create Your Own Puzzle is a simple creative exercise that can be repeated time and time again, as all it requires is a pair of scissors and some card (cereal packet) Younger children can start with a one cut puzzle and learn how to put a siblings puzzle together, then expand to two cuts and then three cuts. Any more than three cuts makes a very difficult puzzle- good for Teach or Mum and dad!!!
Wednesday, 25 March 2020
Seeking Sums
This activity, adapted from Nimble With Numbers is a great one for using 4 numbers to find various sums.
With each new roll of the four dice a new set of sums can be found. Some people like using 4 sets of cards with the numbers 1 through 6. This enables the playing board to be used many times-place the cards in the squares instead of writing the numbers.
The object being to cover as many of the answers from 1 to 18 in a turn.
It can be a cooperative or competitive activity.
With each new roll of the four dice a new set of sums can be found. Some people like using 4 sets of cards with the numbers 1 through 6. This enables the playing board to be used many times-place the cards in the squares instead of writing the numbers.
The object being to cover as many of the answers from 1 to 18 in a turn.
It can be a cooperative or competitive activity.
Tuesday, 24 March 2020
Four Sums In A Row
Playing a game like this has the advantage of practicing basic addition facts within the context of a game which requires thinking/problem solving and strategic thinking.
Monday, 23 March 2020
Sum What Dice OR Shut The Box
Please, during this time of shut down, self isolating, don't try and replicate the classroom at home! What we as parents and grandparents need to do is find activities that have underlying thinking/problem solving requirements but can also be fun for you and the children.
You may already have a number of these activities at home already
Monopoly
Chinese Checkers
Dominoes
Uno
Various playing card games.
If not, I will endeavour to post a new activity each day for you to download, and that fits my criteria of
Enjoyable
Problem Solving/Thinking
Repeatable
A Mathematics flavour (or underlying skills
Can often be played cooperatively.
The first one I share used to be available commercially as "Shut The Box" but was adapted by Lawrence Hall of Science in the book "Family Math" and called "Sum What Dice".
My tweak to the activity is below.
You may already have a number of these activities at home already
Monopoly
Chinese Checkers
Dominoes
Uno
Various playing card games.
If not, I will endeavour to post a new activity each day for you to download, and that fits my criteria of
Enjoyable
Problem Solving/Thinking
Repeatable
A Mathematics flavour (or underlying skills
Can often be played cooperatively.
The first one I share used to be available commercially as "Shut The Box" but was adapted by Lawrence Hall of Science in the book "Family Math" and called "Sum What Dice".
My tweak to the activity is below.
Friday, 20 March 2020
Math(s) for when you are stuck at home
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Friday, 13 March 2020
Cooperative Learning, Groups of 2 or 4 etc.
In the 80's research coming out of the US suggested that one of the skills that they were looking for in a prospective employee was that of the ability to work COOPERATIVELY!
This meant as an adviser on Maths Education I(along with many others) encouraged, supported teachers in developing various cooperative learning approaches. This was very important for girls as they tended to like working cooperatively.
We encouraged teachers to get away from "sitting at tables" and completing the work assigned, and into cooperative situations to investigate and learn mathematics.
Cooperative Learning was encouraged with students, in a group of four assigned different tasks like: Questioner, Reporter, Gopher, On task requirer:(these tasks were rotated so everyone got a turn at each) to complete an assigned task or investigation. The beauty of this was that all the group "had to own the result" that was reported back. A resource that had all sorts of assistance for teachers was "A Part To Play" (possibly out of print) But Amazon has amazing array of Cooperative Learning Resources.
Thin, Pair, Share was one of the activities that was great for involving all students in the group/class. With no discussion with others, Each Student had to THINK about a possible answer or approach to the task posed. After an appropriate length of time the teacher would ask the students to share PAIR with a partner(or other sized group) to see if they could come up with a consensus, students were allowed to say they couldn't. Then it was time for the small groups to SHARE their findings with the larger group/class.
One of the main benefits that I saw was that all students were engaged AND it stopped the fast thinkers, "wanting to please" kids from waving hands to suggest answers etc, AS WELL AS the student who never answers in a larger group a chance to share their thinking and it necessary have something to contribute if asked.
These approaches were also encouraged through "The Numeracy Project Professional Development" in the 2000's.
My question is: Is maths, again being taught with students in desks and very little discussion?
If so, no wonder our results are heading downwards, and we cant blame National Standards because they were a reporting tool not a teaching approach!
I ask that question as on the TVOne News this week we have the Associate Minister of Education saying(this from the written press release) "The initiative includes group learning instead of the usual individual model most schools offer. It was launched today at Koru School in Māngere."
The full TV One Report is: "The New Zealand Government is putting $7.2 million into the initiative, which is using cultural knowledge to boost maths skills.
This meant as an adviser on Maths Education I(along with many others) encouraged, supported teachers in developing various cooperative learning approaches. This was very important for girls as they tended to like working cooperatively.
We encouraged teachers to get away from "sitting at tables" and completing the work assigned, and into cooperative situations to investigate and learn mathematics.
Cooperative Learning was encouraged with students, in a group of four assigned different tasks like: Questioner, Reporter, Gopher, On task requirer:(these tasks were rotated so everyone got a turn at each) to complete an assigned task or investigation. The beauty of this was that all the group "had to own the result" that was reported back. A resource that had all sorts of assistance for teachers was "A Part To Play" (possibly out of print) But Amazon has amazing array of Cooperative Learning Resources.
Thin, Pair, Share was one of the activities that was great for involving all students in the group/class. With no discussion with others, Each Student had to THINK about a possible answer or approach to the task posed. After an appropriate length of time the teacher would ask the students to share PAIR with a partner(or other sized group) to see if they could come up with a consensus, students were allowed to say they couldn't. Then it was time for the small groups to SHARE their findings with the larger group/class.
One of the main benefits that I saw was that all students were engaged AND it stopped the fast thinkers, "wanting to please" kids from waving hands to suggest answers etc, AS WELL AS the student who never answers in a larger group a chance to share their thinking and it necessary have something to contribute if asked.
These approaches were also encouraged through "The Numeracy Project Professional Development" in the 2000's.
My question is: Is maths, again being taught with students in desks and very little discussion?
If so, no wonder our results are heading downwards, and we cant blame National Standards because they were a reporting tool not a teaching approach!
I ask that question as on the TVOne News this week we have the Associate Minister of Education saying(this from the written press release) "The initiative includes group learning instead of the usual individual model most schools offer. It was launched today at Koru School in Māngere."
The full TV One Report is: "The New Zealand Government is putting $7.2 million into the initiative, which is using cultural knowledge to boost maths skills.
The initiative includes
group learning instead of the usual individual model most schools offer.
It was launched today at Koru School in Māngere.
Jenny Salesa, Associate Minister of Education, says it’s about learning in a culturally safe way.
“Some of our students
tell us when we were out consulting last year that they don’t feel that
school is their place - that they feel excluded,” she said.
“But this kind of learning … it’s about learning in a culturally safe way and our students, the best comes out of them.”
Dr Bobbie Hunter, initiative co-leader, says there is no one size fits all.
“In fact, these children
are not the same as every other child. They don’t come from the same
homes, they don’t come with the same practices or beliefs, they don’t
come with the same knowledge,” said Ms Hunter.
The initiative uses cultural examples the children are familiar with, to help them feel comfortable engaging.
It kicks off in 25 schools across Auckland but will be extended to 50 by next year.
The New Zealand Government is putting $7.2 million into the initiative, which is using cultural knowledge to boost maths skills.
The initiative includes
group learning instead of the usual individual model most schools offer.
It was launched today at Koru School in Māngere.
Jenny Salesa, Associate Minister of Education, says it’s about learning in a culturally safe way.
“Some of our students
tell us when we were out consulting last year that they don’t feel that
school is their place - that they feel excluded,” she said.
“But this kind of learning … it’s about learning in a culturally safe way and our students, the best comes out of them.”
Dr Bobbie Hunter, initiative co-leader, says there is no one size fits all.
“In fact, these children
are not the same as every other child. They don’t come from the same
homes, they don’t come with the same practices or beliefs, they don’t
come with the same knowledge,” said Ms Hunter.
The initiative uses cultural examples the children are familiar with, to help them feel comfortable engaging.
It kicks off in 25 schools across Auckland but will be extended to 50 by next year."
I have no gripe with the cultural appropriate resources being developed, as I encouraged that at MOE Hui in the past, but the fact that it is alleged "we have reverted to an individual model for teaching/learning mathematics"
Please teachers please institute THINK PAIR SHARE as a way of encouraging ALL students to achieve in mathematics as an Individual model is outdated and failed for hundreds of peopl over the past 100 years.
I have no gripe with the cultural appropriate resources being developed, as I encouraged that at MOE Hui in the past, but the fact that it is alleged "we have reverted to an individual model for teaching/learning mathematics"
Please teachers please institute THINK PAIR SHARE as a way of encouraging ALL students to achieve in mathematics as an Individual model is outdated and failed for hundreds of peopl over the past 100 years.
Memorising Tables et al from NCETM (UK)
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