I checked from many websites from Google and Yahoo, and found that there a lot of of Cheng Man Ching Yang Style 37 Forms Tai Chi Chuan movements. If you look at those website translate from the Chinese word to English word, then feel like not the exact match. So personally I would say try to remember the Chinese movement name is better, unless you can’t read or remember it in Chinese, then let me try to match it and hope it won’t out too much.
Below is the Cheng Man Ching Yang Style 37 Forms in Chinese, and is good for you to remember it in Chinese if possible.
郑曼青37式太极拳招式名称
第一勢:預備式、起式
第二勢:左掤
第三勢:攬雀尾 (掤、履、擠、按)
第四勢:單鞭
第五勢:提手上式
第六勢:靠
第七勢:白鶴亮翅
第八勢:摟膝拗步
第九勢:手揮琵琶
第十勢:摟膝拗步
第十一勢:搬攔捶
第十二勢:如封似閉
第十三勢:十字手
第十四勢:抱虎歸山(歸山(履) 擠、按)
第十五勢:斜單鞭
第十六勢:肘底捶
第十七勢:倒攆猴
第十八勢:斜飛式
第十九勢:雲手
第廿勢:單鞭下式
第廿一勢:右左金雞獨立
第廿二勢:右左分腳
第廿三勢:轉身蹬腳
第廿四勢:左、右摟膝拗步
第廿五勢:進步栽捶
第廿六勢:上步攬雀尾 (掤、履、擠、按)
第廿七勢:單鞭
第廿八勢:玉女穿梭
第廿九勢:攬雀尾(左掤) (掤、履、擠、按)
第卅勢:單鞭下式
第卅一勢:上步七星
第卅二勢:退步跨虎
第卅三勢:轉身擺蓮
第卅四勢:彎弓射虎
第卅五勢:轉身搬攔捶
第卅六勢:如封似閉
第卅七勢:十字手合太極
Below is the Cheng Man Ching Yang Style 37 Forms in English, and I would advise you try to remember the movements first, rather than remember the name of steps. Once you remember the Tai Chi Chuan movements, then you can slowly apply the movement name back if you want.
Step 1 Preparation, Beginning
Step 2 Ward Off to Left, then Right
Step 3 Retreat, Press, then Push
Step 4 Single Whip
Step 5 Lift the Hands
Step 6 Lean then Strike
Step 7 White Stork Spreads Its Wings
Step 8 Knee Sweep and Twist
Step 9 Hold the Lute
Step 10 Knee Sweep and Twist
Step 11 Step Forward, Fend then Punch
Step 12 Apparent Closing Up
Step 13 Cross Hands
Step 14 Embrace the Tiger, back to Mountain
Step 15 Diagonal Single Whip
Step 16 Fist Under Elbow
Step 17 Step Back to Push away the Monkey
Step 18 Diagonal Flying
Step 19 Cloud Hands
Step 20 Descending Single Whip
Step 21 Golden Rooster Stands on Right the Left Leg
Step 22 Right Kick, then Left Kick
Step 23 Turn then Body, Heel Kick
Step 24 Left then Right Knee Sweep and Twist
Step 25 Step Forward and Punch Down
Step 26 Step Forward, Retreat, Press, then Push
Step 27 Single Whip
Step 28 Fair Lady Works Shuttles
Step 29 Left Ward-Off, Retreat, Press then Push
Step 30 Turn the Body and Lower the Hands
Step 31 Step up to Seven Stars
Step 32 Step Back and Ride the Tiger
Step 33 Turn the Body then Lotus Kick
Step 34 Move like a Bow to Shoot the Tiger
Step 35 Turn the Body, Retreat, Press, then Punch
Step 36 Apparent Closing Up
Step 37 Cross Hands then Close Tai Chi
We are leaning the spirit of Tai Chi Chuan, so is good to know the name of movement but is not the must. As Chang San Feng has told his students before that Tai Chi Chuan is not a fix movements, it can be change anytime anywhere just like ‘Ying’ and ‘Yang’, no start and no end.