Maths update: Khan Academy

Every once in a while I like to write a post on what we are doing with our maths.  It is useful to keep a record of where we are at, at specific moments in time.  And who knows, it may be helpful for the one or two readers who happen upon this blog.

Both Mulan and Miya signed up at the online Khan Academy just over a year ago.  We played with it at the time, and for several months afterwards they did the odd day dotted here and there.  But just over three months ago, in mid-June, we started working on it more seriously, using it daily as our primary maths resource.

What follows is our experience of Khan Academy, used as a main maths resource for two primary-aged children.

For those who are unfamiliar with Khan Academy, it is a free online educational resource with several different subjects, but primarily focused on maths.

The maths at Khan can either be approached by subject (ie topic) or by US grade.  Each subject or grade level contains dozens of different skills (grouped together by type), with questions for each skill.  Skills are Practiced (by answering correctly a few questions specific to that skill) and then eventually Mastered (by answering correctly questions for that skill when presented together with questions from several other skills).  Progress is made by completing a combination of Practices and Masteries.  Once all skills for a particular subject or grade have been Mastered, then that subject or grade is completed.

Most skills are also linked to a short video lesson, of a few to several minutes, which teaches that skill.

Incentives are given in at least five different ways: (a) daily login acknowledgement and a count of the daily "streak", (b) points awarded for questions answered, (c) leveled mastery progress for each skill, (d) percentage progress for each section, and (e) "badges" awarded for achievements.

Mulan (9 1/2 years old):
When we first started on Khan, we headed for the subject section rather than the US grade section because, well, we are not in the US and have no special attachment to their schooling system.  The "Arithmetic" subject section looked interesting, so we tackled that first.

We got into a routine of logging in every day and working on it for maybe about 45 minutes or so.  Almost always, I sit beside Mulan as she works on the questions.  If she has any problems, I step through them with her, discussing and explaining as needed.

Occasionally (maybe once every week or two), we watch a video lesson.  Typically, we will watch a video if either (a) we are not completely sure of the question meaning or terminologies, or (b) we want a second opinion on how to solve a problem.  As we watch the video we typically stop and start as needed to discuss together what is being presented.

In our opinion, the videos are clear and teach the points well.  They are definitely a useful, though minor, supplement to our in-person teaching, and they give us confidence that we are on the right track with what we are doing.  Occasionally, however, we feel that the way they have taught things in certain videos is not the easiest way of solving some problem.  So, while we watch and understand their approach, we sometimes choose to solve problems differently.

At about two thirds of the way through the "Arithmetic" section, Mulan got to the point where the going was getting too tough.  It had reached her limit.  So, since we were still enjoying Khan, we looked around the website and decided to give the US grade sections a go.

We figured at the time that if Mulan was in the US, she would probably be coming to the end of 3rd Grade, so we turned to that section.  After having been struggling with the Arithmetic section, Mulan found the 3rd Grade extremely easy, and completed it all within a couple of weeks.

Next, we moved on to 4th Grade, and Mulan finished all of that within another couple of weeks.  With both the 3rd and 4th Grades, Mulan almost never needed my (or the videos') help on anything.  Nonetheless, I have no doubt that she was learning a lot, and it gave her a good solid skills base as well as a lot of confidence.

At the beginning of August, Mulan started Khan's 5th Grade.  Getting into this section, we felt that this was more properly her level.  It was challenging, but often doable by herself.  Anything that I explained to her was almost always immediately understood and internalised.

Mulan finished 5th Grade within about five weeks, and a couple of weeks ago she returned to the Arithmetic section.  With a few more months of maths tuition under her belt, Arithmetic was no longer beyond her abilities.  And today, Mulan completed the Arithmetic section and started on the 6th Grade section.

We are not sure how much longer Mulan will be able to continue with 6th Grade before she reaches her limit, but we will keep going with it every day and just see what happens.

Miya (6 years old):
There is not nearly as much work available on Khan for Miya's level as there is available for Mulan's level, and Miya has very quickly reached her limit.

In the US grade section, there is one section called K-2nd.  This is exactly equivalent to the "Early Math" subject section.  Miya completed 80% of this, before reaching her limit.

At the moment, and since Miya still likes to do a bit every day to keep her daily streak going, Miya logs in and re-Practices, for several minutes, a few skills that she has already Mastered.  As I see it, it is all good, as it keeps her numeracy skills up.  But it would be much better if Khan Academy extended and developed the questions for younger learners.

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Some final thoughts:

1. Since Khan is an online teaching resource, the questions asked have got to have clearly answerable questions that can be marked unambiguously by a computer.  And it is pretty hard to mark open-ended discussions.  This means that I sometimes feel that, for a maths resource, too many of the questions are equation-style and too few are problem-solving style.  This is not only the case from a balanced teaching perspective, but it is also the case from a student-interest perspective -- Mulan is becoming a little bored with too many straight equations, and is not so keen to be bothered answering them.
2. Khan Academy is clearly from the US.  It uses US spelling, US school grade levels, US non-metric measurements, US maths terminologies (such as reversing trapezoid and trapezium), US money, US education standards (Common Core), and US cultural references in questions.  While it is understandable who their market is, it is still disappointing that there is little attempt to provide a more international feel.
3. Given that Mulan completed entire grades at her age level in a couple of weeks, and both girls are reaching their limit within a few months of daily use, it is clearly the case that Khan Academy has too few questions to last as a daily long-term maths resource.

Each of these reasons in themselves would be enough to want to use other maths resources alongside Khan Academy.  All together, it makes it pretty much inevitable.  Nonetheless, Khan is an excellent partial maths resource that has been very useful to solidify important maths skills in both children, and in a way that has most definitely kept the interest alive for both of them.  A big thanks to Sal and team for creating such an awesome educational website.

Solo dad

I've been trialling being a solo parent (again) these last few days.

Don't fear, Mama and I haven't split.  But Mama is on the opposite side of the world at the moment.

Laolao's (Mama's mama) cancer has returned, so it is back to the hospital for another operation.  On Tuesday, Mama went up to Beijing to be with Laolao, while the children and I stayed back home.  Mama will probably be there for a couple of weeks until Laolao has recovered from the surgery.

So far, the children and I are surviving okay without Mama.  The main daily-life things I have noticed are:

1. Mama usually organises dinner, and it is at that time of the day that I am most tired and like to rest on my own.  Without Mama, I have to keep going and force myself through my tiredness to do dinners.  Consequently dinners are fairly quick, easy and unimaginative -- steamed greens, boiled potatoes/kumara/carrot/pumpkin, eggs/canned fish, canned soup, etc.
2. Miya still likes to come into the big bed during the night, sleeping with Mama.  Without Mama in the bed, Miya is with me, and she does like to wriggle around.  Too often I get kicked awake, and these days I am waking in the morning not nearly as refreshed as I'd like to be.
3. Mama teaches most days here at home, so without students coming and going things are a lot quieter and more relaxed.  But on the downside, we are also getting less money coming in.

And I shouldn't need to add that we are all missing Mama simply being around.

Other than that, our life is continuing much as before, with lessons, outings to classes, meals and play.

More importantly, I hear that Laolao's operation went smoothly, and she is recovering well.

Learning to read

At the moment, our main focus for Miya's schooling is her reading.

When we started consciously working on this in March, when Miya was 5 1/2, she was pretty much completely a non-reader.  I think I am right to say:

1. She could easily recognise and write all the letters.
2. She could copy out words written down, or write words when the letters were told to her.
3. Maybe about half the time she knew individual letter sounds (but no letter combination sounds).
4. She could recognise and write a few words, such as our names and "cat" and dog".

I decided that I would get Miya to read aloud to me each day, for about 15 to 30 minutes, starting with the simplest leveled readers and working our way up.

The leveled readers we chose first were these Reader Rabbit ones:

The first story used only eight different words -- see, I, Sam, look, at, this, book, me -- and each story after that introduced a few more words.

It wasn't long before we got into a routine of reading five stories each day, introducing one new story and dropping one old story.  We tried to read every day, but sometimes missed the occasional day.

This reader series, which we finished last month, was very successful.  Miya really enjoyed the stories (she seems to prefer stories with talking animals), which were funny and interesting, and it jumped her into reading in a way that gave her lots of confidence to continue.

On finishing that series, we have gone through our bookshelves starting with the simplest books and working our way up.  Most of the books we have aren't specifically leveled readers, though we do have quite a few of the Oxford Reading Tree Biff, Chip & Kipper readers, which are excellent.

To give an idea of where we are currently at, yesterday's new book was Put Me in the Zoo.  For the most part Miya read it all correctly, with just a few hesitations and one or two unknown words (she didn't know "violet", and I had to sound it out for her).  I expect that by tomorrow she will be reading it all very smoothly.

What I find interesting about Miya's way of learning to read is that she is still fairly slow at sounding out unknown words.  It is not something that she would immediately do, and it is only something that she is starting to do now as a consequence of me reminding her every time.

She actually seems faster at learning words from me telling them to her.  And it doesn't seem to matter whether new words are told to her directly or whether we spend a bit of time sounding them out together first.  Generally by the third time she has read a new word in a story she can remember it smoothly.

I am not sure what to think of this.  Sometime it is clear that she is just memorising the story and reciting it back to me rather than reading the words.  So, I need to keep changing the books and introducing new stories.  I worry that the way she is learning words will make it difficult for her to learn independently when she encounters new words.  But on the other hand she seems to be progressing very well, learning using her own method.

It is all very different from the way that Mulan learnt to read.

I always felt that I never specifically taught Mulan to read; it just sort of happened.  At no time did we ever work through leveled readers, and nor did I sit alongside her teaching her words.

When Mulan was 5 years 2 months, I wrote here:

I get the sense that Mulan is about 80 to 90% correct in reading most common three and four letter words.  Five letters and up are a bit too long for her—she will generally read them as some three or four letter word that has similar spelling.

By that time Mulan was regularly teaching herself new words by sounding them out independently.  With longer words she still struggled a bit, as she missed parts and so interpreted them as similar sounding shorter words.

Her self-teaching by sounding out words continued, and by the time Mulan was five and a half she was reading simple picture books aloud to two-year-old Miya.  When Mulan was six and a quarter, I wrote here that she could independently read the Frances books.  And when Mulan was six and a half I wrote here that she was independently reading Enid Blyton's The Enchanted Wood.

Two different children, and two very different ways to learn to read.

Happy Birthday Miya

Miya turned six yesterday.

So, of course she was up before the sun to head off to her first day at school.  After all, she has to walk 10 miles in the snow to get to school.  And since her Mama and I are at work all day earning enough money to pay for her exclusive private school, she has to walk there on her own.  And then after her after-school classes she had a couple of hours of homework to complete.  And then up again early this morning ...

Nah, sigh, we are spoiling her rotten.

Her school day included:

1. English: (a) She read to me for about 30 minutes, and (b) I read to her.
2. Maths and Economics: A family game of monopoly (her choice on her birthday), where she is the banker.  So far, she is beating all of us (and I've got almost nothing).
3. Music: Mama and I gave her a new, good quality, recorder for her birthday.  During the day she played her new recorder, as well as the piano.

So far she has had six birthday events, and will probably have a seventh next week!

1. In April, in China with Laolao (Mama's mama).
2. A couple of weeks ago, with Nainai and Yeye (my parents) -- long story, but they had been planning to be overseas on Miya's birthday.
3. On Friday, at the new Takapuna playground.  This was her first choice for her birthday event, but the weather looked much better for Friday than yesterday.
4. On Saturday, a friend came for a playdate.
5. On Sunday, another friend, with the same birthday, came for a playdate (he turned three yesterday).
6. Yesterday, playing board games at home with the family.
7. And next weekend, another party planned with the cousins who are sick at the moment.

Now she has just woken up, so it is time for her second day of school.  I'd better find her snowshoes.

Can't resist a book fair

Yep, I have a shopping problem.

This time, it was the Holy Trinity Church's annual book fair.  But I am proud of myself.  I was tempted, but I controlled myself.  I put back a lot of interesting books.

I only bought one box full.

At $33, this is a bit more expensive then some book fairs, but I can live with it.

Campervan holiday

Last month, in the break between the 2nd and 3rd school terms, we hired a campervan and took off up north for six days.  Friends from China hired one too, and we went together in convoy.  Here's what happened:

Tuesday 12 July
We didn't take any photos this day, so you will just have to read the words instead.

The campervan pickup was a 45 minute drive in the opposite direction of where we were heading, so it meant an early start for us drivers, leaving at 7 am to pick up the campervans then return home to pack and collect the others.  But getting ready always takes longer than expected, and by the time we had loaded up the vans it was already after midday.

Our first stop was lunch at Orewa, a beach-side town less than 30 minutes north of home.  We parked on the side of the road and tried out the van's kitchen to make the sammies -- not bad.

Mama had a clear plan of the campsites we were aiming to get to each night, and our first night, at just over 200 km from home, was Kai Iwi Lakes.  The driving went smoothly, passing through Warkworth, Wellsford and Dargaville, before evening came and I had to drive the final stretch in the dark.

Kai Iwi Lakes camp ground, on the shore of Lake Taharoa, is in two parts -- Pine Beach and Promenade Point.  The camp office, along with the more advanced facilities, is at the Pine Beach section, and we went there first to pay our $30 for the night.  But Promenade Point, on the other side of the lake, supposedly has the better views (and no electricity, kitchen or showers).

Arriving at Promenade Point in the dark, we couldn't see much, but we did manage to see our friends' van already parked near some swings.  That seemed as good a place as any to stay for the night, so, without having a clue where the lake might be, we parked and the kids tried out the swings.

Wednesday 13 July
The next morning, we were up at sunrise,

and realised how close to the lake we had parked.

After breakfast, more swing-time, and a very pleasant walk around the area, we packed up and headed off.  Our one-morning impression of Kai Iwi Lakes is that it is a very beautiful area, and it would be a great place to stay for several days to do some walks.  The camping grounds were peacefully quiet during the time we were there.

Our aim for this day was to get to Ahipara Holiday Park, 162 km away, near Kaitaia.  But we had a couple of important things to do along the way.

First up was, of course, Waipoua Forest, where Tane Mahuta, New Zealand's largest known living kauri tree, lives.  And here we are with the Lord of the Forest himself:

After lunch in our campervan parked near Tane Mahuta, we headed to Opononi, to see Opo's statue (the old stone statue has been moved and replaced by this replica):

And then it was just driving to get to our next camp site before it was too dark.  Ahipara Holiday Park, at $58, was the most expensive of the camp grounds we stayed at.  It was also the place we liked the least.  While it was close to 90 Mile Beach, the camping ground itself wasn't very scenic.  It was also crowded and cramped, and seemed to have a more young-partying-backpacker style to it.  Just call us old and boring family-types now.

That night it rained heavily, and one of the windows in the campervan leaked pretty badly, wetting our bed.  But turning the van around with the window away from the wind, and parking it on a slight slope to let the water run the other way, seemed to do the trick.

Thursday 14 July
After packing up and checking out, we drove the few minutes to 90 Mile Beach.  It was wild and windy:

Then it was off up to Cape Reinga, 130 km away, stopping for lunch at Houhora.

This was the third time time I had been to Cape Reinga.  The first was as a child, while the second time was with Mama 12 years ago when we were newly together and I was trying to show off my country.  Things are even better up there now; they have really done a good job with the paths and plants.

Mama had thought that we could spend the night at Spirits Bay, but with darkness fast approaching we decided to go to the nearer Tapotupotu Campsite.  It was a good choice.  At $18 it was the cheapest of our campsites.  It was also very peaceful.

Friday 15 July
Next morning, we were up before dawn, aiming to get back to Cape Reinga to see the sunrise.  And while we got there just in time, it was a little cloudy.

After breakfast at Cape Reinga, we headed back south, needing to drive 220 km to Waitangi.

But first, a quick stop to wander up a few mounds of sand at Te Paki,

and then down again,

for a play in the river before lunch.

On the way to Waitangi, we stopped off at Kerikeri, to see New Zealand's oldest building, Kemp House (built in 1820),

and New Zealand's oldest stone building, the Stone Store:

Then once again it was a race with the sun to get to our campsite before dark.  We got to the Falls Motel and Waterfront Campground ($56), just a short drive from the Waitangi Treaty Grounds, just in time.

It was also a short walk from a pretty decent fish and chip takeaway shop, and we had our traditional once-a-year-when-we-go-campervanning fish and chip dinner.

Saturday 16 July
The next morning we woke up to this:

We then spent most of the rest of the day at the Waitangi Treaty Grounds, including watching the cultural show and going on the guided tour of the grounds.  It was definitely well worth it.  The cultural performance was slick and funny and very entertaining (has anyone else spotted that one of the cultural performers has a traditional tongue piercing?).  And the guided tour was not so much a guided tour, but an entertaining and very informative lecture on a very important part of New Zealand's history (I was so busy listening to our guide that most of the time I was looking at the ground trying to take in what he said and not noticing where we were walking).

Afterwards, we did our own family educational tour:

Mama said she would like to have been Mrs Busby, with the grounds and views.  Mulan is being her six children:

This seems to be our new tradition at important landmarks:

And then it was time to drive 100 km to our final camp site for this holiday, Uretiti ($32).

Sunday 17 July
The next morning we played at the beach,

before driving the 120 km home.

The total cost of the holiday was $1130:
$673 for the campervan hire
$230 for the diesel, tax and tolls
$194 for the campsites
$9 for the LPG
$24 for the Waitangi Treaty Grounds entry

I think we will call it a homeschooling expense.

Welcome

Welcome to my new Homeschooling with Dad blog.

This is the blog in which I, the Dad, write about life as a full-time stay-at-home homeschooling parent.

This is my third blog site; hopefully it'll work better than the previous two.

My first was http://blog.sina.com.cn/kiwidaddy, which I started in 2009 when we first transitioned to me being the full-time stay-at-home parent.  At the time we were living in China, and the plan was to do some bilingual stuff -- me writing in English and my wife (Mama) writing in Chinese.  But the Chinese posts were few and far between, as Mama has real work to do.

Unfortunately, Sina started to get a bit troublesome.  Some of what I put there mysteriously disappeared (Chinese Big Brother didn't like something I said?).  And there were far too many pop-up ads jumping up in front of my posts (capitalist China in action).

So, in 2014 I sent my last post to Sina and switched to http://homeschoolingwithdad.blog.co.nz.  I chose Blog.com because it was one of the few English blog sites that wasn't blocked by China's Great Firewall.

But it turns out Blog.com has its own 502 and 504 Error problems.  Most of the time the site is down, with all blogs unavailable.  In the past few weeks I haven't been able to get on to it even once.  Enough is enough.

So, here we are, at http://homeschooling-with-dad.blogspot.co.nz.  I know blogspot is blocked in China, but hopefully it will at least be available around the rest of the world, and no 502s.

UPDATED 5/11/2016: I have discovered some old blog entries I posted to http://homeschoolingwithdad.blog.co.nz that I had saved on my computer.  Since the blog.co.nz site has been completely unavailable for the past several months I will repost therm here, dated at the time I wrote them.  Unfortunately, there are still many more posts that I don't have and are lost (maybe forever?).