Posts tagged Maths

#TBlesson Using Twitter to Explore the Language of Probability

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

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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:

Twitter message

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.

Twitter prob lesson 1

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

Twitprob (2)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

Twitprob (1)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

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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

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.

Make a Coordinates Activity in Google Earth

I have been really excited to see the interest in my idea for Maths Maps. On Sunday afternoon I had the idea to overlay a simple coordinates grid on the satellite imagery in Google Maps or Google Earth, so children could answer position and direction based questions.

As in so many other cases those who follow me on Twitter helped me out when I was looking for an image to use for the grid. Admittedly I need to brush up on my image creation/editing skills but I was so grateful to get so many people offering help and ideas. Matt Lovegrove a Year 2 teacher in Berkshire, kindly made me some 10×10 grids which were perfect.

After much exploring I discovered that adding an overlay onto Google Maps is not so easy as it is in Google Earth. Here is a how to create your own Google Earth coordinates overlay (and in fact any image overlay!)

Firstly use Google Earth to find a place that is relatively interesting (there is quite a lot of choice you’ll agree!), you will be asking things like, ” What is the position of…?” etc so there needs to be enough in view. You might like to look around the Shapes in Paris Maths Map as it would fit well with this topic, or perhaps the location of your school might be a good starting point. Then follow these screenshots.

You can see an example of the linked coordinates task in the Shapes in Paris map, the placemark is titled “12 Coordinates Questions”.

I also created an example using the school’s location as a starting point in our lesson today. I was able to ask them about the coordinates of our school and even our classroom. I picked up on buildings and shops in the locality and kicked off the lesson using this resource. We zoomed in from space by the way (always exciting) and I told them I had spent all weekend painting the lines and had cleared out the local hardware store of red paint.

Some of the children worked independently today on the Google Earth task and they were really engaged and enjoying the task, we recorded in our maths books, as this was simple and best for us. I hope you are able to follow the idea through for your own group of students and using the screenshots create your own Google Earth coordinates activity.

Maths Maps – Data Handling in Nottingham

I thought I should bring things a little closer to home with the latest resource in the Maths Maps series. Please take a look at this set of learning outcomes or objectives from the Primary Strategy that might help you figure out what placemark icon you need.


View 7 Data Handling Activities in Nottingham in a larger map

As with the other resources they are all available on the Maths Maps page.

Please consider taking a minute to add a placemark with an activity on something you spot in the city. There has been some great additions already – I look forward to seeing this develop and I hope you find it useful.

Shapes in Paris – NEW Maths Map

Hot on the heals of Measures in Madrid here is the next addition to the Maths Maps series. Shapes in Paris makes the most of this beautiful city and the maths that is visible in Google Maps.

SHAPE IN PARIS

View 24 Shape Activities in Paris in a larger map

I have had a lot of fun exploring the city from above! One facet of Google Maps is Streetview which gives us a wonderful 1st person view of the city streets. I used this same view to set some questions about what could be seen.

For example, here is a Police car and on the bonnet is the mirrored word Police written in block letters. Some of the letters are great examples of regular and irregular shapes.

Streetview Shape Questions

From space we have zoomed right down into some lettering which can only be about a metre across! This is the sort of detail that Streetview offers us and our students and I would love to see more Maths Maps questions using Streetview.

In the last few days I have heard from a few teachers in my Twitter network who have used the Maths Maps idea already with their classes and it is thrilling to here it making a difference in other classrooms.

That is the very reason why I share my ideas here.

Maths Maps – A New Collaborative Project

I am excited to introduce you to my new project idea that I hope will result in some engaging content for our classes. It is collaborative in the same way the Interesting Ways resources are and I will need your help to make it a success.

Elevator Pitch

  • Using Google Maps.
  • Maths activities in different places around the world.
  • One location, one maths topic, one map.
  • Activities explained in placemarks in Google Maps.
  • Placemarks geotagged to the maths it refers to. “How wide is this swimming pool?”
  • Teachers to contribute and share ideas.
  • Maps can be used as independent tasks or group activities in class.
  • Maps can be embedded on websites, blogs or wikis.
  • Tasks to be completed by students and recorded online or offline.

Some background

Four years ago I created Google Earth resources for the classroom and posted them to the GE Community Forum. Two of them were called Maths in Madrid and Maths in Las Vegas. These were based on the fact that there is maths all around us, every day, everywhere we look. Google Earth (and Maps) gives us a great perspective on it all. It also provides easy access for our students to see rich visual content that depicts everyday maths. I have always loved the idea of children seeing the maths they are working on.

The only issue with Google Earth is that it is restrictive in two ways. It is not browser based and it is impossible for me to create a resource for others to collaborate on.

Luckily Google Maps has caught up and using the collaborative features I can now invite other teachers and educators to help build on these resources. It is exciting to return to these old ideas and work on them with you all.

First Attempts

Earlier today I invited some people on Twitter to help me make a start and it was great to see loads of ideas added to the Maths in Madrid map I had generated, based on my original work. There were questions about shape, time, money, rotational symmetry, you name it! (Thanks to all those who helped!)

View Maths in Madrid in a larger map
Please don’t add to this map any more – see the Measures in Madrid map below.

The problem here is that although the ideas were organised under maths topics (see map) with different coloured pins, there was no distinction between age appropriateness. There would be too much to filter out for the teacher or student.

With help and direction from those collaborating, I took a simpler approach and created a Measures in Madrid map that collates maths ideas about the one topic. This time the placemark icons are used to distinguish which age group it is best for. See below.

I think this is much easier to use because the map is about one topic, but shows the grade/age level too. Many different maps can be created to cover lots of different maths topics.

Measures in Madrid – How can you contribute?

  1. Explore the map below for the ideas already added, follow the link to open it in a new window.
  2. Make sure you are signed in to your Google account.
  3. Click on EDIT in the left panel.
  4. Zoom close to the city and it’s surroundings. (Don’t forget Streetview)
  5. Find some MEASURES ideas you can see.
  6. Add a placemark (use the right colour for the age group it is best for – see purple pin)
  7. Explain the activity in the description.
  8. Change the title to show how many ideas there are.
  9. Send out a Tweet or write a blog post to highlight this resource and encourage others to contribute.


View 7 Measures Activities in Madrid in a larger map
There are endless amounts of maps we could make and once this one is up and running I will be highlighting some more. I will be embedding them all on the MATHS MAPS page of this blog too.

Please help by contributing just one placemark – let others know about the maps so we can gather lots of ideas.

Nintendo Wii Golf Subtraction

We had fun today using Wii Sports Golf during our maths lesson. This week the children have been practising different written methods of subtraction and today we repeated the Wii idea from last year. Read the rest of this entry »

3 Video Resource Sites to Support Maths, Science and Spelling

There has never been a better time for finding online resources to support learning. I subscribe to the RSS feed from my delicious network and my Google Reader is regularly bulging with useful links to sites that can support the work going on in the classroom. Here are three highlights that use video as the central media to help support curriculum work.

Spelltube

Spelltube brings the weekly spelling list into the technological age.

 

Spelling videos have been created for each of the 3000+ words in the National Spelling Bank, from which teachers can generate and assign a word list to their Key Stage 2 pupils. Memorable characters help to reinforce spelling concepts in an enjoyable way that will appeal to various learning styles.

The site allows a teacher to sign up for a free class account, which then provides children with individual login details. Spelling lists can be assigned and scores tracked within the site. It is tailored towards the UK national curriculum and supports the spelling objectives within it. I think it provides a great alternative toSpelling City.

Simple Science

The idea of SIMPLE SCIENCE is to have informative music video presentations for use in the primary school classroom.

They are designed to be used as part of a lesson to reinforce learning objectives and scientific concepts and also as a useful revision tool for the SAT exams. They work particularly well on a large whiteboard but can also be viewed on the computer screen and TV.

Once again the resources support the Key Stage 2 QCA Science units in the UK and each of the sections provides a video of the science behind the topic and a song to help the children too. The films can even be bought as a DVD or the songs on CD. There is no sign up or login needed to watch the films.

The site uses Vimeo embedded films and you can see Simple Science on Vimeo here. The fact they have not used YouTube makes it much more accessible in schools. Apparently they have a whole stack of early years songs and films planned for next year which should be worth looking out for.

Learning Clip

Learning Clip is an online resource to support teachers, teaching assistants and parents implementing the renewed primary mathematics framework. 

The resources are structured to follow precisely the learning objectives of the renewed framework. For ease of navigation the resources are also listed by topic.

They all have the same easy to use format. Each clip comprises of, a short introductory video, an interactive activity, a worksheet and a set of notes.

After an initial registration a user needs to login to access the resources. It is worth noting that on the home page it states that the resources are being made available to teachers for free “during the development phase”. I assume from this that there may be a time when the resources require a fee to use them.

I hope you find the three resources useful and find a place in your classroom for using them. Please let me know of any other video based resource sites that you know of or have found useful in the classroom.

Plan, Tweet, Teach, Tweet, Learn, Smile

Buckleys mate

That was the first reply from @deangroom to my Twitter request in support of a maths lesson earlier this week. I had asked my network to explain to my class of Year 5s / 4th graders what the probability of snow was for the following day. In my planning I had included this activity as a plenary to my maths lesson on probability. The children were exploring a range of statements and deciding what the likelihood was. The conclusion of the session was planned as follows:

Explore with the children the language that they have used in the session. Ask: Is the same vocabulary used in other countries? Ask Twitter network to respond to: “What is the probability that it will snow where you are?” Explore the responses and discuss the reasons for any differences.

“Buckleys mate” threw me a little though, I shared it with the children and after a little searching we discovered that it is an Australian slang term meaning “No chance” – so we figured out what @deangroom meant!

Time Aware

One of the most important things that I have learned from successfully using Twitter to impact on my lessons, teaching and ultimately the children’s learning is that you have to be time aware. I sent out this tweet, as you can see, at just after 9.15 GMT.

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I did not need the responses for a further hour but allowing your network time to respond is very important. By the time that I was sitting with the class to finish the session we had approximately 20 responses to explore, and more was rolling into twhirl as we were working. I simply displayed the “Replies” view so the children could see specific responses to us.

I was also very aware that America was still tucked up in bed and only those very early risers, insomniacs and those burning the midnight oil would be responding at the time from the US. The morning session worked out that we continued our maths on until lunch so I retweeted 2 hours later and then again around 1.00pm. This may seem like you are pestering your network but single tweets can get lost in the torrent for many of your network – some may not respond because they simply may not have seen the request. I knew that the 1pm tweet would nudge those in the US and many added their responses to the stack of examples we had to discuss with the kids.

Shaping the learning experience

As you can see from my planning and the request I sent out the focus was on the language that other people would naturally use to describe an event’s probability. And the coincidental geographic information that justified such a likelihood helped our discussion. We were able to establish from the early responses that they were mainly from Australia and the children were amazed to read the responses:

snow2.JPG

snow12.JPG

This naturally lead to a discussion about why residents of this country would give this sort of response, we discussed their climate and the ostensibly long history of no snow days and how this leads people to believe more fully that it is highly unlikely. Then came a response from closer to home.

snow31.JPG

I swooped upon the language that @jonesieboy had used in his tweet and saw it as a good teaching point. I focused the children’s attention upon his use of “1 in 4 chance” and we explored how this could be rephrased as a a quarter and that led us naturally to the equivalent percentage – 25%.

The children had been using 5 words to describe their own statements in the main part of the lesson. Certain, probable, possible, unlikely, impossible. After reminding them about this I asked them to position “1 in 4″ or 25% on their own scale and to give a word that best describes the chances of snow in East Lothian. It is amazing what a single tweet can do to a lesson.

Creating a learning experience

In a similar way to how our Geotweets lesson proved successful the quality and quantity of responses from my network offered me an opportunity to create a new learning activity. The initial plenary was really successful, we discussed the tweets we had received at that point and the language differences it presented. I decided to continue with the maths lesson for the rest of the morning and spent 10 minutes, whilst the children were outside for breaktime, creating two additional SMART Notebook pages that incorporated the Twitter responses.

The main focus was of course the language individuals used and although we concluded many people, when asked about probability, responded with a figure/percentage, I challenged the children to juxtapose the responses onto our original scale.

The second notebook page was an additional bonus, but the geographical information is very important to explore with the children when reviewing any responses in Twitter. In the case of this maths lesson the probability could be justified by geotagging the tweet. I used a rudimentary map and we discussed the location of the respondees and how this affected their responses. I could have looked at a map+Twitter mashup but this would not challenge the children’s geography knowledge, rather it would just display the locations.

To create these pages in SMART Notebook I simply used the screen capture tool to snip the individual tweets from Twhirl. You have to ensure that the inactive opacity is set to 100 as Twhirl becomes inactive when you switch to the SMART screen capture tool. You can download the notebook file with these two pages in here.

I was delighted to use this networking technology in this way and it was great to finally execute what I had long conceived to be possible in my head. The lesson was so much richer for the carefully planned introduction of Twitter responses. The two SMART Notebook pages supplemented the original nbk resource and the discussion in the plenary. The parallel Y5 class was able to benefit from the depth and quality of responses as they also located the tweets and scaled the responses using the notebook. In terms of my own teacher assessment of the lesson I think that the children had a truly global picture of what this question meant to real people and a far greater understanding of the variety of vocabulary used to describe probability. For some people who responded the possibility of snow was almost far fetched and for others it seemed they were having to literally defrost the very keyboard they were frostily typing on! When I look back at the short paragraph of planning I had written it’s brevity does not reflect the depth of opportunity it actually produced. I move on from this lesson knowing that when you invite responses from your network to expect much more and to be flexible enough to make the most of the learning opportunities it readily presents.

With a careful, planned approach I think I have proven (in this instance) that Twitter can be used to impact on the children’s learning. That may be a very narrow impact in terms of a wider curriculum but it is an impact nonetheless.

Make it work in your classroom

  • Think carefully about what topic to support – the simplest questions are the best.
  • Phrase your 140 characters with great care. Get as much in as you can. I must have taken a good 5 minutes redrafting the original tweet.
  • Be time aware. Think carefully about who will see your tweet when you send it out. Send your request for information prior to the time you actually need it, to allow the network time to respond.
  • Don’t be afraid of retweeting a request so that people who have just logged in can pick it up.
  • Request a location from your network as this can form some excellent points for discussion.
  • Display the responses using the Replies view in a Twitter client like Twhirl or Snitter, this way you will not be distracted by the other conversations passing by.
  • Share with the children the language of Twitter and what it all means, one of my children heard the alert sound of a reply and said “That means someone has tweeted us!”
  • Be flexible and prepared for the direction that the tweets can take you.
  • Save an image of your replies for future reference – you can see all of the replies we received for this lesson here.

Many thanks to all of you who responded to our question – thankyou for contributing to our maths work this week.