Maths Archives - Page 2 of 4

Addition in Adelaide – A New Maths Map

TomGoogle, Mapping, MathsAugust 16, 2010April 22, 2019Leave a Comment

I have begun a new Maths Map in Adelaide focusing on addition ideas that can be seen or referred to on the map. It would be great to have your contributions it is very easy to do:

How can you contribute?

Explore the maps below for the ideas already added, follow the links to open them in a new window.
Click on EDIT in the left panel.
Zoom close to the city and it’s surroundings. (Don’t forget Streetview)
Find some TOPIC ideas you can see.
Add a placemark (use the right colour for the age group it is best for – see purple pin)
Explain the activity in the description.
Change the title to show how many ideas there are.
Send out a Tweet or write a blog post to highlight this resource and encourage others to contribute.

View 6 Addition Activities in Adelaide in a larger map
Make sure you explore the other maps in Nottingham, Madrid and Paris that are currently running, you can see all 4 on the Maths Maps page.

Seeing Ripples

TomBlogging, Curriculum, Literacy, Mapping, Networks, Twitter, VoicethreadMarch 21, 2010April 22, 20195 Comments

When you share your classroom experiences and ideas, one thing you hope for is that they are transferable to other classrooms. This week I was delighted to see three examples of my ideas being successfully applied elsewhere.

The first is from Peter Richardson a primary school teacher in Preston who took my idea for using Voicethread for peer assessment of writing and used it for work in their Egyptian work. Here is the Voicethread he shared.

Kevin McLaughlin is a Year 4 teacher in Leicester and after reading my blog post about using Twitter and Google Forms for a data handling lesson, has applied the same ideas himself. His class compared music tastes from Kevin’s Twitter network (via a Google Form) with their own. I am pleased it worked well for his Year 4 class too, as Kevin explains,

The data that we now have will be used next week in further Maths lessons and the children added that they will continue to use the survey over the weekend at home and with friends. Real data from real people. This is what makes this type of investigation so very useful and brings an added dimension to data collection activities.

The final ripple I caused comes from Jan Webb another Year 4 teacher in Cheshire. Jan took up the challenge of using my Maths Maps idea with her class and developed a series of activities in a Google Map of Berlin for her class to use.

View Berlin in a larger map

Jan explains on her blog how they enjoyed using the resource in her class.

…a great deal of discussion arose from finding the shapes in some of the buildings and finding how many rectangles we could see in a building! We all really enjoyed these tasks and they not only let us discuss aspects of shape, but also provoked discussions about aspects of life in Germany.

These ripples are very encouraging as you are able to clearly see the effect sharing your own practice has on other teachers and subsequently other children’s learning.

If you have always thought about starting a blog but never got round to it, why not give it a go. The more pebbles in the pond causing ripples the better.

Marmite: Love it or Hate it? – Using Google Forms and Twitter

TomGoogle Docs, Maths, My class, Networks, TwitterMarch 15, 2010April 22, 201910 Comments

Over the next two weeks in our year 5 class we will be exploring data investigation and the tools with which we can use to undertake them. The first three days of this week we will be looking at some technology that can enhance data handling and make our life easier. In today’s session we learned about Google Forms and I demonstrated how they work with the help of my Twitter network.

We wanted to achieve three things from our maths session today

Make a short survey using a Google Form.
Complete other people’s surveys and get a feel for the process.
Review the data added to our own and explore some of the ways it is represented.

After placing the lesson in the context you see in the first paragraph, I began the session by explaining that I was going to use my Twitter network to help demonstrate how we can use Google Forms to collect data.

I spent some time with the class going through the process of creating a Form from the Google Docs home screen and then adding my questions and running through the different types of questions you can use. We talked a lot about how this type of data collection is only good for some occasions and a pencil and paper method can still be the best way. It is a matter of choosing the most appropriate.

The class would be making a simple favourites or preference type survey and so our shared one was similar. You can see it embedded in the post below.

Loading…

Once complete, I sent out the link to this to my Twitter network (Look at the bottom of the Form edit page for the link – I used bit.ly to shorten it for Twitter, more on that later!) I did this because I wanted the children to see data being added, I wanted to demonstrate the moment of data submission from the Google Form. This also helps the children see how a spreadsheet is linked to the form. (15 minutes)

We switched to the spreadsheet and the children thought it was rather magical as the responses started to drop into the cells as we watched. I reminded them that as soon as someone clicks SUBMIT we were seeing the result.

The children then worked in groups of three with a single laptop (2 groups per table) – one of the children signed into their Google Docs (part of Google Apps for Education) account and created their own “Favourites” Google Form. To keep the children focused I asked them to only give 5 choices for their questions otherwise they tend to get longwinded and only create one or two questions. (15 minutes)

One of the useful things about writing up lesson experiences on my blog is that it is wonderful to go back and look at what I learned and make adjustments to lessons. With some of these things in mind, once the groups had made their Forms, rather than share via email etc (this just adds a complication) we clicked on the Live Form link at the foot of the page.

So everyone had on their laptop screens their form and I asked them to simply change places with those on their table and complete each others’ surveys. They then moved around the classroom adding their responses to other forms from other groups. Although it is nice to share via email, in my experience of working with Google Forms and lots of children it is much easier to move the children rather than share the Form. The children certainly got more responses this way and contributed more, there was less in the way.

After each child had submitted their responses they clicked on the Go Back to the form link which reset the form for the next child – this worked out really well. (15 minutes)

Up to this point the children were able to appreciate how Google Forms is a great way to gather information and how it organises it for us in the spreadsheet.

Back at their own Google Form the children spent some time exploring the results Summary page to look at how their data can be represented. (5 minutes)

As a class we returned to our Edu Favourites survey of educators in my Twitter network. By the end of my second session we had over 125 responses and it was a great pool of data to explore. Real data from real people that we literally witnessed being entered. I was able to ask children lots of questions from how it was represented. It proved to be a great plenary. Here are the results from the survey, there are currently 170 responses – thankyou if you were one of them. (5 minutes)

As a final exploration of this whole process you could explore the link data. I used bit.ly to shorten the long Google Form URL. bit.ly provides traffic data, with a free account, and you can show the class where the people clicking on the form are from. Currently there have been 269 clicks on the Edu Favourites form link and here is where everyone is from.

You could even do some work on how many didn’t fill in the form and compare it to those who did.

Thankyou for taking the time to help with our maths lesson today, I am always so grateful for your contributions – and some of you have even gone away wondering what Marmite is – life will never be the same again. By the way I hate it too!

#TBlesson Using Twitter to Explore the Language of Probability

TomMaths, My class, Networks, TwitterFebruary 26, 2010February 26, 201010 Comments

Two years ago I had the idea of using replies from my Twitter network to gather responses about the probability of snow. What was planned as a plenary to a session ended up being expanded into a full hour long lesson. This week I taught the same maths topic and this post outlines the approach I took this year to my lesson.

Context

This was the second lesson in the week – the first was a basic introduction to some of terminology in basic probability of events. We talked about the ways we would describe events such as a deer jumping through the window or a cat wandering into the classroom. We then looked at a load of different statements and positioned them on the scale: IMPOSSIBLE – UNLIKELY- POSSIBLE – PROBABLE – CERTAIN. The Twitter lesson would extend this understanding of the language used by exploring the tweets from my network.

Set-up

One of the things I have written about before is the planned tweets that should take place before a lesson if you want to do this type of lesson. You can elicit responses on the spot, live, but you have much more control over how you use the responses if you allow yourself some time to do so. I tweeted this the day before and encouraged as many responses as I could:

With a good handle on the sort of responses I was getting I could plan to make the tweets into any sort of resource I wanted. Another reason to tweet early is to encourage members of your network in other countries to participate. This was crucial to the probability question I was posing.

As the lesson was beginning I repeated my request which bolstered the responses that were coming in live, indeed it gave some people the chance to adjust their snow estimates from the previous day.

Hashtag

At the end of the tweet you can see that I have asked people to respond using the hashtag #TBlesson. In terms of organisation this allowed me to easily copy and paste from a Twitter search page into a Google Doc. If you leave it to your replies you will have to edit out all of the odds and ends that are not relevant to your lesson which is time consuming.

Resources

I decided that this time I wanted the tweets to be something the children could hold. I turned the digital into analogue and printed the tweets off. They were laminated and cut into individual cards. We made 3 sets for the different activities in the lesson.
For the location activity we had 2 floor maps of the UK and Europe. I also had a SMART Notebook file from previous years that had tweets and a world map to work with.
Finally I cleared some of the tables away and used masking tape to make a great big probability scale on the floor. I printed off some labels using the language from the previous day and placed them accordingly.
5 or 6 laptops for the location activity.
The children’s maths books and pencil crayons.

Introduction

Using the #TBlesson hashtag I displayed a Visible Tweets presentation as the children were coming in from playtime. They were soon enthralled as the responses span and twisted their way onto the IWB display. I listened as the children began pointing out something to a friend or spotting a particular country.

I began by talking about my network on Twitter and how I had used it to find out about the chances of snow across the world. We spent some time watching the random display of tweets from the search and we talked about the language we discussed in the previous day and if we could see any examples of people using it.

I think Visible Tweets is an excellent way to display Twitter replies and I would highly recommend it if you are doing the same. This is another reason to use a hashtag when gathering responses as it is much easier and more controlled if you are displaying a specific search term.

In the image you can see a Tweetdeck column – this is another useful tip. I deleted all of the other Twitter columns and I was left with the #TBlesson hashtag search I had running. A simple and easy way to focus your classroom display on just what you need to show.

Listen to me introducing the session to my class. “Twitter Lesson Audio“

Activities

The children were put into mixed ability pairs and we had 5 pairs on each of the three carousel stations. After a 10 minute introduction I rotated these groups every 15 minutes which would allow some time for a short conclusion too.

Location

I wanted the children to begin to explore the location of the responses and to think about the climate of different parts of the world. The children had two floor maps of the UK and Europe to place a set of the tweet cards on (I filtered the cards appropriately). There was also the IWB which had a world map and a bunch of tweets from previous years.

I put out half a dozen laptops for the children to use to help them locate some of the places mentioned in the tweets. All of the children decided to use Google Earth to help them find the places and they then placed the cards on the floor maps.

The children had the option to use the technology to support them if they wanted and were confident enough to know the correct tool to help them. This is a good example of children independently choosing a technology to support their learning.

Probability Scale

There were many fascinating mathematical discussions in this group about the best place to put the different cards on the large scale. The children were having to interpret the plethora of terminology in the tweets and match them to the commonly used language on the scale.

This was a good challenge and the children worked in pairs to support each other in positioning the different statements. All three groups put the statements neatly above and below each other along the scale, even though many were the same. I extended their thinking by inviting them to place them alongside each other if they were equivalent.

A further step was to get pairs to check a small section for accuracy and to look closely at the ordering. I was able to direct different pairs or individuals to review the position of specific tweets that I knew would challenge them appropriately. (For example someone used 0.05)

Language Examples

In the third activity the children simply gathered examples of the language used, writing these out in their books. This would eventually lead us to a major conclusion we made as a class in the plenary.

This fairly straight forward task meant the children were really engaging with the variety of terms used and their records helped them to see the breadth of it.

They recorded fractions, decimals and percentages as well as slang and local phrases used for likelihood.

Reviewing the lesson and the language used

As a whole group we finished the lesson by discussing the different language that we had encountered during the session and shared some of the ways people were using it. We briefly explored the climate differences between locations and heard some examples of places that had an impossible chance of snow.

We concluded that the majority of people used percentages rather than words to describe the likelihood of an event. This lead us to think about the important mathematical link between a number and a word and how even though words are easier to understand they are less precise than giving a numeric value.

The children enjoyed the lesson and the carousel style of activities. After another quick tweet to my network we were able to enjoy some #snowpics to show it really was 100% certain some people were going to get snow!

Lesson Outcomes

The range of activities and the chance to explore the nuances of probability language gave the children a great opportunity to:

consolidate what they had learned about basic probability language
experience the full range and variety of terminology used
begin to understand the link between a lexical and numeric representation of probability

Since my lesson on Tuesday I have already seen two other examples of teachers looking for responses from their Twitter network for specific lessons. Even 2 years on from when I first did this lesson I still think that the opportunity to use your Twitter network to provide insight, responses, input, challenge and data is overlooked by many. What makes it so manageable for us to contribute is that only 140 characters is needed.

A big thankyou to everyone who helped by making a contribution it is really appreciated. Hopefully this post shows you how your 140 characters fit into the bigger picture.

Why not have a look at what you are teaching in the next few weeks and consider making a request for your network to make a contribution. I hope this lesson has given you some ideas and real methods for how this can work and making the most of it in the classroom.

SABOTAGE! A Lesson in Open Crowd-Sourcing

TomGoogle, Mapping, MathsNovember 27, 2009November 28, 20093 Comments

UPDATE: I have had an email from a teacher in Melbourne, Australia who has explained that it was her students who messed up the Paris map. It was by accident and not at all malicious, they were trying to create a Maths Map of their own for Melbourne. I am relieved to hear that it was non-malicious, but it has highlighted some important issues for me.

Last night I checked in with the Shapes in Paris Maths Map to check to see if others had added any other placemarks or activities. Initially I couldn’t find the map – only “Maths in Melbourne” which I hadn’t created. This is when I uncovered the sabotage.

Unfortunately “medg” (from their Google profile – last edited by…) had moved all of the Paris placemarks to Melbourne in Australia. They were able to do this because I set the maps to be (a) Public and (b) Open to editing. As the placemarks are location specific it was a long process to find the exact points the activities referred to.

I have managed to recover the map and even add some new placemark activities about Shape and Space to extend the ideas to “51 Shape Activities”. I suppose I should have seen something like this coming, but never expected someone to go to so much trouble to disrupt the resource. As John Johnston remarked maybe not naive of me just “uncynical“.

View 51 Shape Activities in Paris in a larger map

The Maths Maps have been getting a huge amount of traffic. They are in the public domain and I presume that they can be found in searches of user generated Google maps. The three maps have had over 60,000 hits combined and the Paris map over 25,000. Unlike the “Interesting Ways” series the maps are discoverable and openly public. I think that explains the traffic (which I know is not teachers) and also the higher risk of someone messing them up for a laugh.

I still subscribe to the powerful process of crowd-sourcing to generate resources but will be closing the maps to open collaboration because of the higher traffic and higher risk. If anyone wants to contribute some ideas, and I really encourage you to help, then please just send me your GMail and I will add you as an editor. I think this is the right thing to do rather than always backing up and leaving it open to anyone to mess around with – after all I think that the bulk of the traffic is the public, and not educators.

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