Tuesday, 31 March 2020

Daily Dollar Deals: Maths Activities for year 1 through 4

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


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?


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!

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) 



 


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.


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!!!

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.

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.



Friday, 20 March 2020

Math(s) for when you are stuck at home

Youcubed is a great place to find activities to do at home.  Teachers you should consider joining YouCubed as it has a wealth of information that could be beneficial for your teaching and students. (Free to join and regular emails to your inbox)
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Hello youcubians,
We know this is a trying time for everyone, so we’re doing our little piece to help out teachers and families with kids at home. Below is a set of activities from our site with modifications to make them work better from home, making continuing to learn maths while maintaining social distancing easier.
This time around we are sharing some of our favorite activities from our site, but soon we will start sending out new home-specific ideas, as well as short videos to go along with the activities. All of this will be archived on a page on our site that we are currently building for this purpose. We wanted to send you some of our favorites to get started, but keep an eye out because much more is to come!

Please share your students' work using the hashtag #YoucubedAtHome and check the hashtag out to see others' work and interact with them! You can also use it to tell us what you'd like to see in future newsletters. We're here to help everyone get through this together!
We have organized the activities by the kinds of resources needed to explore them. Some only require household supplies, others might need to be printed or use other technology or some more specific supplies, some are outdoor activities, and some are activities for students to engage in with their families.

Household supplies only:
  • Snap-it (K-2): In this activity, students use snap cubes to make sense of parts and wholes and relate that to addition and subtraction of pairs. A small handful of anything you have on hand: pennies, paper clips, etc. will work just as well as snap cubes.
  • Fewest squares (3-12): Students draw an 11x13 grid and try to find the fewest number of squares they can use to cover it without overlap or extending outside the grid. Our students have worked this question for hours at a time!
Indoor with technology / other supplies:
  • Number visuals (K-12): In this activity students color-code collections of circles as they look for patterns. They can do this directly on a tablet, or you can print them out for the whole family, pull out some crayons, and use them as dinner mats. (K) : (1-2) : (3-5) : (6-12)
  • Poly-Up (5-12): Poly-Up is an online platform that pushes students to develop computational thinking skills while helping Poly fix machines.
Outdoors:
  • Mathematical Art (K-12): We encourage students to expand this activity and discuss the maths you see in public art AND ANYWHERE! (Really anywhere! nature, architecture, street signs, etc.) Are there interesting shapes? Angles? Patterns? There is so much to see out there!
Family activities:
  • Feet under the table (K-2): While sitting around the table, ask your student to figure out how many feet are under the table without looking. If your child is up for a challenge have them figure out how many toes are under the table.
  • Emoji Graph (K-12): Students can survey their family on a topic of their choice and make a graph describing their findings. (K-2) : (3-5) : (6-8) :  (9-12)

Cheers and good health,
Youcubed Content Team
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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.
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.

Memorising Tables et al from NCETM (UK)

March 2020
With an eye on next term’s times tables test, we look at how schools can best help pupils learn them, addressing fluency but also exploring deep understanding of the structure of multiplication. In this special ‘times tables’ edition of the Round-up we’ve got lots for you to explore including resources and ideas suggested by teachers, such as videos, links to recent research, and online professional discussion.
And don’t forget the new International Day of Mathematics ('Pi Day') tomorrow!
times tables grid - showing times tables zero to twelve

Six resources for teaching and learning times tables

How do your pupils learn times tables? From digestible research to interesting resources, these ideas will help you reflect.
Explore

'patterns of multiplication' diagram from article

Teachers collaborate to find the best strategies

From the archive: a report from a 2016/17 times tables project in Camden.
Read

Woman holding up seven fingers

Rhythm to support retention: a whole-school approach

A maths lead uses video to get her pupils and staff on board with a consistent approach to times tables.
Watch

two pupils looking at map (image from IDM)

International Day of Mathematics ('Pi Day')

Tomorrow (14 March) is 'Pi Day', adopted as the new International Day of Mathematics by UNESCO. Follow the launch or find great activities on their website.
Discover

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