Hi Emma,
did you do Join-up with your young mare? If so, you have used your bodylanguage and your eyes to encourage her to pick up speed, or to slow down. It's the same with longlining, at least in the beginning. Later she'll know how to respond to the signals you give her with the lines. But for a start you use the same "tools" as in Join-up.
Your brisk walk, eyes on eyes, and some clucking will help her to pick up speed and in the long run she'll know what you mean, when you cluck and she'll give you a canter only on that signal. But start simple!
Did you watch the "longline"-lessons on this UNI, they will give you a deeper insight.
Remember to use as little as possible and as much as needed to bring your message to the horse (or any other living being...), even here we'd seek a conversation!
Have fun, and more important: let your horse have fun!
Keep us posted,
Miriam

Hi Emma, can you tell us a bit more please. When you say re-educate this suggests she has done it before or she has done something else before or...? How old is she? Are you longlining her under saddle or with surcingle? Is she ridden yet? Have you seen her canter under other circumstances (loose in field, ridden etc.) - that might seem a stupid question but bear with me :-)
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When you say you are having trouble, what happens? Does she start a canter then stop, or trot faster but won't break over into the canter...or....?
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I'm sorry f it sounds like an interrogation but I feel it's important to get the whole picture :-)

Thanks for the replies so far guys. I will try to address both comments so far.
Miriam:I haven't done join up with this mare yet as we seem to have developed a good bond already and I have read numerous posts in this forum about not performing Join-up just for the sake of it - I am more than happy to do join up with her if it's deemed beneficial though. I have watched the long lining lessons in the Uni a few times and I have the basics down...but further watching can't hurt. Thanks for your help.
Vicci: Here are the answers to some of your questions, I hope this helps: 'Re-educate' as in she has only ever been single line lunged until I bought her a month or so ago; She (Angie)is rising 6 years old, was broken in by her owners(two owners ago) and turned away, the owner prior to me bought her for brood mare purposes and had her for about 2 years and decided against breeding her (Angie is a FresianXAmerican Saddlebred and the previous owner was going to put her to her 'baroque' style Fresian Stallion but decided the foal would be overly heavy, hence she decided to sell her on as she's too good a horse to waste in a paddock). She has not been ridden as yet, however her previous owner has sat on her and asked her to work through an 'obstacle course' whilst being ridden which she was apparently fine with. She has been single line lunged under saddle, however I am taking her back to basics for the introduction of double line lunging so at the moment she is being lunged with a surcingle, side reins (loose at the moment, tightening as we get more experience), off the Dually halter. I will introduce the bit/bridle and under saddle as she gets used to the double line lunging. She happily canters around the paddock with her paddock mate and is beautiful to watch. With regards to the 'trouble', she has briefly broken into a canter and gone back to a trot and more often than not, she just speeds up her trot when asked.
I'm sorry if my reply is rather long but I hope this helps you to help me!
Like I said, thanks very much for your advice so far and I look forward to hearing back.
Many Thanks,
Emma.

Hi Emma and Vicci,
Please watch the lessons about "single-line lunged" horses, the transition to longlining and cantering on the circumference of a roundpen could be the challenge.
Cantering in the paddock is in a straight line, so maybe your mare tends to keep her head to the outside, when asked to canter in the roundpen. You seem on the right track, intending to use sidereins. Watch these lessons a couple of times, so you'll get all the details.
Let's see what Vicci says to it!I
Miriam

Thanks Miriam, I have seen the lessons about the single line lunged horse too and my initial thought about Angie's reluctance to canter was to do with her getting and keeping her balance at the canter as a lasting effect of the single line lunging. It is my hope that as she gets used to the double lines she'll feel more comfortable with her balance to continue cantering on the circumference. Also, as I have no access to a round pen I have been using a neighbours 20x40m arena. Thanks again for your help and I will keep you posted on how we develop. Cheers, Emma.

Hi Emma - thanks for the answers. I think you have it right, it could well be the effects of single line lunging, hence my questions as I suspected this may be the background. Miriam's answer is, as always, great :-) Couple of things to add:
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I completely agree with you re: not doing Join Up just for the sake of it (I have written tens of threads/comments on this!); if she has a good bond, so be it. However, what would be useful I think (and I rarely advocate this so please don't quote me!!) is to do one, not for the purpose of "join up" as such but to see, as Miriam rightly points out, the extent of the damage done by single line lunging.
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The thing is though, you need to be above her looking down so that you can really see her shape (banana with nose tipped to the outside, disunited canter I suspect). I'm also guessing she will be worse going to the left (as everyone works horses more on the left ) than she is on the right. So the only way you can do this is to either (a) have someone else do the Join Up so that you can watch from "on high" or you do the Join Up and someone film it on a camcorder from "on high" and you can watch for a disunited canter from your position.
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No round pen? Halve the arena and cut off the corners so you have a sort of hexagonal shape but make sure she can't jump out :-) It works pretty well and you're only doing it for a short while so that you can assess what is happening. I would suggest you can only address the problem when you fully understand where it's coming from.
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In extreme cases, you can see the banana bend even if someone is leading the horse in a straight line - again stand on a plinth and have someone lead her away from you. The worst one I saw like this was a little Arab who had been brought up (not by this owner) with the "tie the head to the tail" method and he was dreadfully bent out of shape poor thing and found everything uncomfortable as the strain on muscles and ligaments is awful
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In the lessons, if I remember rightly (correct me if I'm wrong Miriam) Monty shortens the inside side rein a little more than the outside rein to encourage the head to find it's correct place when working in an arc. This is important in the realigning and needs to be adjusted when you go round the other way.
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So the overall aim is to re: balance (as you say) as well as canter. But I don't feel it's just a matter of her "getting used to it" - she may need proactive help to realign. If all else is ok (and it turns out I have waffled all this unnecessarily for which I apologise in advance if so hahah) the last stage to speed her up is the added pressure of a plastic bag on a stick waved behind (not touching) and it immediately stops when she canters but then flaps again if she slows down without being asked, but this is only if everything else is ok.

Hi Vicci, thanks for all your advice. I am a little hesitant to use even half the arena as a round pen as it isn't fenced, except for a pretty little fence about 2 ft high and considering Angie is 16.2hh abd still going it would be quite a small step for her to get over it...and there's a rather large drop over the otherside of the fence! I have thought about doing join up (for the purposes you've mentioned) in her smaller paddock but I am aware of the point of view of not working horses where they eat...what's your opinion on that? As far as getting someone to try and film her whilst I do the join up is a possibility, if I can find a suitable location to do it in. With regards to the shorter side rein on the inside, I had intended to do this in our next session...just a little shorter at first though. Any thoughts on my 'join up ' location problem would also be greatly appreciated from anyone else who has experienced this problem (I keep hoping on winning the lottery so I can set up my perfect horse facility, but I'm still hoping!:-). Thanks again all. Emma.

Oh gosh Emma, no too risky to divide your pen up! Working in their own field is sometimes 'frowned' upon but you know, we are not all made of money and have the luxury of separate areas, we often have to make do with what we have. It's not ideal, but as this is a 'one off' for a specific purpose I don't feel any harm would be done but be aware you are competing with grass!! Make sure she is not hungry when you do it :-) What do others think?
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Good luck, it seems you have a good handle on all this Emma, go for it :-)

Thanks Vicci, I will give join up a go in her smaller paddock and see how we go...will just have to wait a little while until the ground dries out a bit though so it's not too slippery and dangerous. We're still in what seems to have been a very wet, very cold and very long Winter here in SE Australia this year...or maybe it's just my impatience at having my new horse and wanting better weather so I can do all I want with her! In the meantime I will continue with the long lining at walk, then trot and try to get my hubby perched up high to film her to see if the single line lunging has done more damage than hoped and take it from there. Thanks again for your help and I'll keep you posted on how we go!