Primary Maths Resources

Apologies for the lack of posts over the last year. I have a draft post waiting with a bit of explanation!

Anyway, my friend Emma has started a new website, Home Educating the Early Days. Emma's site designed is to give reviews on all things related to home education and is particularly designed to help families with young children who are either starting out on home education or have an interest and aren't sure where to start. Do pop over and have a browse round Emma's site.

Today, I have a guest post on Home Educating the Early Days about Primary Maths Resources.

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Summer Learning

This summer seems to to running away with learning, a 93rd birthday and of course, wedding preparations. Anyway, this is mainly about learning although life and learning are inextricably mixed.

Morning Time

Currently, morning time consists of

• prayer
• learning Psalm 119 v1-8
• Training Hearts: Teaching Minds: Family Devotions on the Shorter Catechism
• a hymn from our church hymnbook. This half term, we are singing a different adaptation from Psalm 119 each week. 
• God's Smuggler. Prior to this, we read Natasha Vins' autobiography Children of the Storm
• a double page spread from the Usborne Introduction to the Second World War.

On a rotating basis, we read from the children's book club books (The Endless Steppe and The Treasure Seekers), a book about bridges (Who built that? Bridges) and songs from The Pirates of  Penzance. 

Science has involved several components:

• Mystery Science
• a science theme at our local home education group. As part of this we had a mushroom kit from Grow Wild. 
  
• a series of lifecycle days at the home of another home educator. We came home from one session with frog spawn and were able to watch our spawn turn into tadpoles and finally, much more slowly than everyone else's, into frogs. The frogs have now been released.
  
  
  
  We now have caterpillars which are proving less stressful than tadpoles!
• a hedgehog detector from the London Wildlife Trust. Sadly, we haven't spotted any hedgehogs yet.

History has been about the Second World War. I have already written about the resources that we have used.

Youngest Son has finished Dancing Bears! We have been working through this series for a looong time. There have been some interludes, particularly a long one a couple of summers ago with Nessy.  I would recommend Dancing Bears for a child who needs a second line phonics programmes. The stories are rather wacky and we gave up on them near the end of book B but by this stage it is easy to substitute with other books.

Maths

Youngest Son also finished his Galore Park Junior maths book 2 early so has now started on book 3. His daily maths is divided into two or three sections.

• Schofield and Sims mental maths. This is independent work.
• Galore Park- this is his main text and I use this to guide me teaching new work and the exercises to practise what he has just learned.
• If time, either Prodigy maths free programme or a maths game either a download from somewhere like Nrich maths or Trilemma, fraction dominoes or the fraction pizza game. Sum Swamp is much loved but I don't think it contributes to his learning anymore!

Younger Daughter uses Schofield and Sims Understanding Maths series and is currently working through the Stats and Multiplication and Division books. She does a bit from each every day.

Of course, summer has to involve Sports Day. We went to the East London Christian Home Educators' event by the Thames Barrier. Over 120 children took part and it was lovely to meet friends old and new. 

This term, I am especially glad for strength for each day and God's all sufficient grace.

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April Inspiration

The sun has come out! The last few days of grey and rain have seemed so long but today is spring.  I took the children out to Walthamstow Wetlands which is new to us. By the way, I seem to be running out of ideas for places to go or things to do in London for my 9 and 11 year old and the Summer holiday isn't far away. Any suggestions? 

This is an amazing list of maths resources for children who struggle with maths but don't let the title put you off; this list would be useful for most children. It does include Sum Swamp which is a brilliant game for young children learning number bonds. We used to play Sum Swamp daily! 

Again, about maths, Jo Boaler talks on this podcast about fear of mathematics, worth a listen.

Frugal Girl published an encouraging post about how to make your house lovely for $0.

I have been reading Sarah Mackenzie's new book, The Read-Aloud Family: making meaningful and lasting connections with your kids. This is a book that I will probably return to again and again. The book lists and questions to use to discuss books with children are particularly worthwhile as well as the chapter around having a book club atmosphere at home. I think that Sarah goes too far about the moral benefits of books but otherwise the book is worth a read and a place on the bookshelf.

The current read is about sleep: Matthew Walker's Why we Sleep. Reading this has taken a little while and I haven't finished yet, partly, because it keeps reminding me about the importance of sleep and that takes away from reading time! This book runs through what is known about sleep and its importance as well as scary stuff about sleep deprivation. Most of the latter isn't new to me but having it in one place does pull a punch. 

More book recommendations are always welcome! 


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January Inspiration

January is almost over but here, in England, it always feels a month where it is most difficult to go outside but where the rewards for being outside are greatest. The photo is from Richmond Park on a rather murky day but so good to get outside even in the mud.

I loved this post about how to teach maths consistently. Not mega-science, just a reminder to keep going every day.

This literature map of the world made me wonder whether my book club could make something similar.

Another common sense post was this one about talking to tweens from Ben and Me.

One of the children and I have been reading The Hiding Place about the work of Corrie ten Boom and her family who hid Jews in the Second World War.  Her home is now a Museum and looks fascinating. I've wasted a bit of time, this week,  looking at how to get from London to Haarlem.

For a bit of beauty, pop over to Raising Little Shoots to see Lyn's lovely nature journal.

Hope that you are having a happy January!


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Sources of Home Education Inspiration: Maths

This is the fifth part of my series on resources for inspiring home education. The first four parts are

• General
• English
• Science
• History

This post is about maths. The links are either resources we have used or seriously considered using. 

Early Years

We used plenty of learning from life: counting stairs, number of people eating at a meal, recipes and so on.

Games have also played a major role. Favourites have been various Orchard Games including Pop to the Shops, Ten Green Bottles and the Spotty Dog Game.

Sum Swamp has been helpful towards the end of this time, and for the next few years, and has been played over and over again. This game helps with simple addition and subtraction as well as the concepts of plus/minus and odd/even.

There are a few books which have been useful for introducing mathematical concepts.

I would particularly recommend, Less than Zero which is a fun introduction to negative numbers. 

Infant (KS1 about age 5-7)
I'm not entirely sure that I would use this again but we used Mousematics which comes as part of a Mother's Companion. This is a Welsh printable curriculum. We modified it, for example, the parts about weighing and volume we used as hands on activities rather than using the printable workbooks. In retrospect, it isn't particularly challenging and could do with more hands on work. We ended up supplementing with games and maths from life. 
Other curricula that I would consider are

• MEP (Maths Enhancement Programme from the Centre for Innovation in Mathematics Teaching. This is a free programme although it is easier, and probably cheaper, to buy the workbooks. I did use this for a while and really regret that it didn't work for us as it is a rigorous programme, scripted and easy to use except for one thing. The problem that we had with this is that it takes about 45 minutes per day of teaching. This probably works well with a class but my children aren't in the same year and at the time which we used this also needed one to one phonics teaching. I couldn't teach phonics and maths at the same time. Sadly, the topics for each year aren't in the same week so I couldn't teach the two together. Highly recommended if you have one child or children who don't need other one to one teaching at the same time.
• Singapore maths probably using the UK version. The working from manipulatives to visual to paper (Concrete/Pictorial/Abstract) makes such sense and is a principle that we have tried to use with whichever programme we are using.

Junior (KS2 about age 7-11)
This is the reason why I have been so long in posting this.
We have used/use Galore Park maths successfully for two of our three home educated children. These books start at year 3 and are designed for private schools. We use the older edition where they have two sets: the Junior books which cover years 3-5 and the So you want to learn set which covers years 6-8 so going up to the Common Entrance exam. I note that the newer edition seems to be arranged by school year.
Points to know about these books

• After we finished the year 8 book, I found some year 9 work for Middle Son before starting GCSE work but I wish that I hadn't done this. The end of the Galore Park books would have been a great place to start GSCE maths and he really coasted for that year.
• The series has textbooks but no workbooks for anything other than tests. We have not used the test workbooks. We have found that writing out problems can be majorly time consuming and slow progress for younger children. I have often written out the questions when they are younger and gradually move to getting the children to write them out.
• The books progress in a spiral manner. If a child has forgotten a topic or finds it difficult then it is worth going back to the previous year's book.
• Buy the answers! I spent several years working out all the answers because of a mistaken belief that this was the only way to be sure that I understood and could explain clearly. What it actually meant was that I was working out maths at midnight so the marking could be done. It is worth checking that you can do the first and last questions but not really necessary to do everything between!

Galore Park has worked less well for one of the children. We spent some time working on one particular topic using the concrete/pictorial/abstract approach then using one of the Schofield and Sims Understanding Maths books. This worked well so we are currently using other books in the same series. This series has a clean lay out. It is not necessary to write out the whole problem although sometimes, supplemental squared paper is necessary. 

Please note that home educators are able to use the tutor discount which makes a substantial saving.

One cheap and cheerful item that we use every day is 10 questions. I write 10 questions in the children's maths exercise books each day which they answer at the start of maths time. The questions cover topics that need revision and are individualised for each child.

We quite often finish maths time with a game. Games that we use frequently are equivalence dominoes, fraction bingo, Brainbox fractions and tables and Trilemma.

I have written about learning tables before.

Senior (Key Stage 3 about 11-14)
We used the Galore Park maths books to the end of year 8 (age 13) then changed to Conquer Maths and a year 9 text. KS3 Conquer Maths was well organised but as I stated above, changing to GCSE work would have been better.
At this point, we also occasionally used Khan Academy as a backup for further explanation of some topics.
I am not going to comment above KS3 as we used a tutor of GCSE maths.

Extras
This is a post about sites which we have used for adding to the maths curriculum. 
Squeebles is an app occasionally used for tables practice. 

Please feel free to recommend maths resources which your family have enjoyed.

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Learning Plans 2017-2018

We have just started our more formal learning again and with a new year there are a few changes. This is a list of my plans. Please note that what works for us may not work for you. Having made this disclaimer, I would add that many of my best ideas have come from other home educators' plans.

Younger Daughter is almost 11 so UK year 6 and Youngest Son is 8 which is UK year 4.

English aka Language Arts
English consists of multiple parts

-Reading. I am planning a time of individual reading, after lunch. This will be reading of the children's choice. Youngest Son will also read aloud to me daily.

-Writing. During morning time, I plan to work through the writing workshops in How to teach English at Key Stage 2 by Pie Corbett. Most  writing will be linked to topics in other subjects.

-Spelling. The plan is that one child will continue to use All about Spelling and the other will use Touch Type Read Spell.

Handwriting: Younger Daughter has been practising calligraphy over the holiday and will have some time to work on this. Youngest Son will use a handwriting workbook and copy work.

Typing: Nessy Typing and Touch Type Read Spell.

Poetry: we plan to continue to have a weekly Poetry Tea. This is much loved and has many benefits including reading aloud, enjoying and discussing poetry, reading dialogue poems with friends and writing. In additon to this, Poetry Tea helps with  planning a small snack and decorating a table.

Grammar and punctuation: we plan to use the Galore Park English books for this.

Extras: We hope to read Julius Caesar, this term, both in a simplified version and as the actual play to fit in with a Royal Shakespeare Company production of this play for schools in the late autumn.

Maths
We tend to start math with 10 questions which I write in the children's maths books the previous day. These tend to be short and cover topics which might need revision.                                                                                                                                            
Youngest Son has already started Galore Park Junior Maths book 2 and we hope to continue this.

Younger Daughter is using a different programme this year with the Schofield and Sims Understanding KS2 workbooks.

Maths games most days.

Science
Energy: its forms, changes and functions from the Elementary Physics Series.

Exploring Nature with Children: we are planning to use the new journal although work on one journal between the three of us.

Our home education group is studying science, this year and the group is also a judging panel for the Royal Society Young People's Science Book Prize.            

History  
This year we plan to study the Victorians and the First and Second World Wars.
For the Victorians, we plan to use Our Island Story as the core text and for the First and Second World Wars, The Story of Britain by RJ Unstead.
We hope to supplement with many other books, trips and activities.  This week, we have been consulting a rather old copy of Mrs Beeton to write a Victorian dinner menu.

Geography
I have planned three country afternoons during this term. In addition, we use Seterra and probably will use the geography from Valley Christian School Online.

Art
Younger Daughter is signed up for an Explore Art award and has done her first activity for this. While she is working on this Youngest Son will be working on coding using Code.org. 

Music
We plan to use Classics for Kids weekly during morning time. We sing each day and Younger Daughter has piano lessons.

Latin
We do a little Latin daily using Minimus. Younger Daughter is already familiar with book one so this is revision for her but new for Youngest Son. 

Physical education
This is mainly informal with visits to the park and time on the trampoline most days. Younger Daughter has been running with friends and has started to go to Park Run, on Saturdays. I would like to add in some longer cycle rides.



       
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August Inspiration

August is here. A month of planning, being outside and trying to make sure the children don't get bored!
In July, we've had a fair few days out as well as our lovely holiday in Wales. 

Brogdale, near Faversham, has national fruit collections and has amazing tours where it is possible to sample the fruit. We ate lots!

The Jewish Museum was fascinating and fitted well with a read aloud from earlier in the year, the Family with two Front Doors.

We haven't been to the brand new Postal Museum yet but this article has information and pictures about the old postal railway under London.

The National Gallery have a scheme for schools called Take One Picture. Schools study and do cross-curricular work around one picture. Apart from the teacher training, I can't see any reason why home educators can't benefit from this resource. Various pictures have been used in the past and the notes on the picture and ideas for activities are on the website. The picture for 2017-2018 is Joseph Wright's An Experiment on a Bird in the Air Pump but pictures from previous years could also be used.

Morning time is an important part of our day and I have written about what we do here. I have recently come across a post about how another family have arranged their morning time.This post has links to a couple of books about morning time. I haven't read either so this is more of a comment than recommendation!

Kate from Kate's homeschool math has produced an excellent post about the nitty gritty of how to actually teach a home education maths lesson.

Hope that you are having a happy summer!

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A day in Education at Home

There isn't an average day but I thought that I would write about a fairly ordinary day. Like most days, there were some differences: on more days than not we see other children and not going out because of the weather is a very rare event. Anyway, here goes:

 We were about on time starting, today. Sometimes, we lag. I don't like dragging tired children out of bed and the children can be a bit reluctant to have breakfast when there are carers in the kitchen but today, things went fairly well. When we start late, I try to stop a bit later for lunch.

We start Morning Time with prayer, a reading from The Ology,

work on our memory work which is currently Psalm 98-today we focused on verse 4 and sang our hymn for the week: Before Jehovah's awesome throne. We then did the day's problem from Bedtime Math. Today, this was about Lego towers. 

Younger Daughter then went to read The Thieves of Ostia while I read Charlotte's Web to Youngest Son. 

 We went onto English/literacy/language arts or whatever you want to call the subject. This included

• reading for both children.
• spelling. Both children use All about Spelling.
  Younger Daughter had a day off spelling as she had put in tremendous effort to finish her book yesterday. I hope to start the next level with her on Monday.
• Writing with Ease for Youngest Son.
• Latin for Younger Daughter. We started Minimus Secundus today,
  
  having finished the first book, yesterday. Minimus is a primary Latin curriculum which is working well for us. 
• Younger Son working on a talk for our local home education group. The children take turns to give a short  talk and Powerpoint presentation to the group. As we are studying countries, this is currently about a country. Younger Son's talk is about the USA so he was finding pictures of early explorers and putting these into the presentation.

 Break.
Today, Younger Daughter wanted to do a Skittle and water activity. The results were splendid.

She and her younger brother then went on to make lava lamps with oil, water, food colouring and a vitamin C tablet.
I used the break to spend a bit of time with Grandma and sort out some household tasks.

 Maths
Both children start with 10 questions which I write in their maths books, the previous day. These questions are usually around tables practice. After that, they go onto Galore Park Maths. 
My daughter was working on transformations and enjoyed this. 
Youngest Son continued work on equivalent fractions and then all three of us played Fraction Bingo which looks, again, at equivalent fractions.

Youngest Son requested another chapter of Charlotte's Web so I thought the lunch could wait!

Break for lunch/answering door to carers and district nurse and being around for them.

After lunch, both children spent about an hour on the trampoline and in the garden. It was very windy and we ended up sorting out some fence repairs from the wind.

We had a read aloud from Children of the New Forest and then about how bicycles work from Can you feel the Force?
At this point, the wind was howling and small branches were hurtling around. I had planned to go out, look at our bikes to fit in with the reading, do a nature walk and end up in the playground but I lost my nerve. Usually, we go out whatever the weather and  think that there isn't bad weather only bad clothes. Today, I wasn't sure how clothes would protect us from the wind so we stayed in and watched a video about Home Science activities. 

 Younger Daughter went on to make coloured sand (rice) from the instructions on the video and then a file to hold her books from another video on this channel. 

Not a bad day but not a perfect day. I would love to know about your day and in particular, what has worked well for you.

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November Inspiration

We've had a beautiful half term. Now back to work!

This post has several maths links, perhaps, because I wanted to re-energise our maths time!

Bedtime math is a site which produces books with bedtime maths problems. Very conveniently, they also have a free app. Each problem has levels of difficulty and the easiest is usually very easy. 

Se7en have a great post with loads of resources for making maths fun. I'm not familiar with many of these but already have some of the books on my wish list! These resources would be great for schooled as well as home educated children.

Kate has a post about what to do when your child hates math. This post got me thinking about what was going wrong with our maths and the reason seems to be another which we are working on.

On to other subjects! Lynn has written just one piece of advice for starting nature journalling.

We all have days when it is impossible to follow our best laid plans. Bookshark has a post about Plan B homeschool days. The first about Reading Days reminds me of one of the days when I was too unwell to do anything except read from bed. I finished reading a long book and had a long, unhurried discussion with my daughter about China and the cultural revolution. 

We possess a large number of books. We have more books than bookshelf space which is a constant challenge-yes,books are doubled shelved, in odd cupboards and in piles. Nelleke has written about minimalism for homeschooling book lovers and I'm going to pluck up courage to go through the picture books!



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Thinking about Maths-Mathematical Mindsets

Mathematical Mindsets: Unleashing Students' Potential Through Creative Math, Inspiring Messages and Innovative Teaching by Jo Boaler
My rating: 3 of 5 stars

Mathematical Mindsets is a thought provoking book about ways to improve teaching of maths and to produce pupils who love and explore the subject rather than fear and shrink from it. This book has inspired me to think about more open ended tasks and not to be afraid of setting tasks which involve maths that I have not yet taught. There are helpful ideas to avoid children developing a mindset where they think that they are failures at the subject and on a positive side, aiding them to see the creativity of maths.

The second chapter is devoted to the value of mistakes and how they can be a powerful learning tool. This makes sense but often isn't the way that maths is approached.

Common maths procedures such as speed drills receive short shrift in favour of deeper thinking around open ended maths tasks.

As a result of the book, I hope to introduce more open ended problems and to take my children to some sessions which involve exploring maths ideas.

Why the three stars?
-It isn't always easy to see how to integrate this book into a home education context. It is embedded in a classroom culture rather than the more tutorial style learning which is usually used at home.

-The book contains information about the dangers of tracking/setting which makes sense but from a personal point of view, I remember being in unset classes and the boredom and frustration this caused. Maybe, with proper tasks things would have been different.

My final comment is that I have been trying to mentally integrate these ideas with the discussion, in the UK, over this summer about superior results from mastery curriculum (on the Singapore maths lines). If anyone can direct me to answers about this, I would be very grateful.

Definitely worth reading, digesting and then deciding how to act.

View all my reviews

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Disclaimer: I borrowed this book from my local library. The opinions are all my own.

30 Summer Science and Numeracy activities

Last week, I wrote about how we plan to continue literacy learning over the holidays. This post is about science and numeracy learning. As before, there are 30 activities on the basis that the holiday has about six weeks and activities are done on five days. The plan is to have a maths or science related activity for each weekday of the holidays. 
These ideas aim to continue practice with number operations in different and hopefully practical ways. The science is designed to encourage interest and curiosity about the subject rather than around a curriculum.
Please add more ideas as having a variety is useful!

• Planting seeds. Cress grows quickly but radishes and green leaves also give fairly quick results. Try growing the seeds in different conditions. Cress and green leaves will grow inside on a sunny windowsill.

• Harvesting potatoes. If you haven't grown them then a friend or family member may let children help. This is an activity which my children look forward to each year.

• Growing crystals-this is surprisingly easy using table salt and a piece of string.
• Maths games e.g.Trilemma, Sum Swamp, BrainBox

• Fizz-Buzz. A quick tables game. All the multiples of one number are replaced by the word fizz. Those playing then count replacing the relevant numbers with the word fizz. For example, if three were selected, the players would say one, two, fizz, four, five, fizz. Another table can be added, for example five which can be replaced by buzz. Using both tables together, counting would be one, two, fizz, four, buzz, fizz, seven etc. Fifteen is fizz buzz. 

• Butterfly count.

• Practice doubling while doubling up a recipe.

• Practice weighing and estimation while cooking

• Work out pocket money or holiday money, what it will buy and change.

• Work out the areas if you are planning to do any decoration over the summer. 

• Grow a plant from a leaf

• Multiplication pebbles-I'm going to need a large number of pebbles the next time we go to the beach.

• Investigate a rock pool

• Use a timetable on a bus or train journey

• Nature walks

• Visit a science related museum

• Visit a different nature habitat-woods/marshlands

• Check out the many activities in the Dyson challenge cards

• read some science and maths books

• Smartie maths-yes, maths with sweets. I don't intend to do this more than once but one of my children keeps asking for this!

• make cardboard clocks

• make bread or sourdough bread for a change

• make yogurt

• devise a healthy family menu to the appropriate budget. When we have done this with the older children we let then put in the on-line order so that they can be sure that they are within budget. Do check the items before finalising the order!

• calculate the cost effectiveness of different garden crops. When we did this before, I altered the vegetables that we grow so it might be useful to repeat this.

• dot to dots-these can be found on the internet using multiples to help skip counting

• suduku

• filter muddy water 

• volcano making with sodium bicarbonate and vinegar-we have done this so many times that I don't think of this as educational but we might try using lemon juice instead of vinegar for variation.

Please add more ideas. It is useful to have a choice of activities for me to choose from, even if I only put out one for my children!

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April Morning Basket

We have always had a morning meeting. Initially, reading a Bible book and praying but more recently we have added to this. These are our plans for April.

Bible-daily
We plan to start the third volume of The Child's Story Bible by Catherine Vos. This is about the New Testament. 

We also use the Trinitarian Bible Society memory work and sing a hymn or chorus.

Art appreciation-weekly

More architecture and history than art, maybe, but I find this book is interesting and the younger children haven't looked at it.

Music appreciation-weekly

We are due to start on the third, of three, composers in this book: Schumann. Once we have finished this, we have the other Ladybird book of composers to use.

Nature study-weekly

This book should fit in well with our science which is about aquatic creatures. I love these old Ladybird books.

Science-weekly
This isn't our main science just the part that happens in morning time.

I'm not sure whether this book won't be a bit too difficult but plan to use it initially to read about submersibles and submarines which are a current interest of Youngest Son.

Maths-daily
We either revise a table or play a maths game in Morning Time.
Games that we play are

• equivalence dominoes
• times table matching pairs. The next step is to play this as Snap. The game is from Brain Box. 
• Pizza Fraction Fun game from Learning Resources
• Sum Swamp-I want to get away from this game. We have played it so often!
• Time Lotto
• Fraction snap from Brain Box

There is so more that we could do but I know that this amount works for us. I have been enjoying Pam Barnhill's podcasts about morning time. These have many more ideas! 

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