you can use "make great strides" or "by leaps and bounds" which depends on the situation... example: He has made great strides towards the english....on the other hands you "by leaps and bounds" means extremely fast which doesn't fit into it! .. you got it?
突飛猛進advance rapidly
advancevt
.1. 使向前移動;推進,促進
The president has done his utmost to advance the national interest.
總統已盡了最大努力來增進國家的利益。
2. 將...提前
The date of the meeting was advanced by four days.
會議提前四天召開。
3. 預付[O1]
We will advance him some money for traveling expenses.
我們將預付給他一些錢以供支付旅費。
4. 提出(建議,看法,理論等)
The theory was advanced by an American professor.
該理論系一位美國教授提出的。
5. 提升;提高(價格)
He was soon advanced to the position of CEO.
不久他被提升為總裁。
6. 貸(款)
The bank advanced him 20,000 dollars to start his business.
銀行預付他兩萬元以開始他的事業。
vi.
1. 前進;向前移動[(+on/upon/against)]
She advanced on him silently.
她悄悄地向他走去。
2. 進展;進步
We had greatly advanced in our knowledge of the world.
我們在世界知識方面大有長進。
3. 被晉升
He advanced shortly to a full professor.
他很快被提升為教授。
4. (物價)上漲
Rice has advanced fifteen cents a pound.
米一磅漲了一角五分。
n.
1. 前進[S1]
The advance of the enemy troops was halted by a heavy snow.
一場大雪阻止了敵軍的進攻。
2. 發展[C]
Remarkable advances have been made in space science.
太空科學已有了長足的發展。
3. 增長;增高;擢升[C]
Her colleagues were all surprised at her rapid advance in the company.
她的飛速升遷令公司同仁均感驚奇。
4. 預付;預付款[C][(+on)]
He was given an advance of fifty dollars on his salary.
預支了五十圓薪金給他。
5. 友好表示;殷勤[P]
He did not respond to her advances.
他對她的友好表示無動於衷。
6. 候選人出外競選時的先遣助選人員
black advance
(在競選對手露面場合安排的)預先搗亂
a.[B]
1. 先行的
We sent advance copies of the new course book to the teacher and the students who were to use it.
我們先送了幾冊新教科書給要用書的老師和學生們。
2. 預先的,事先的
I have received an advance payment.
我已收到一筆預付款。
rapidly
ad.
1. 很快地,立即,迅速地
The situation had rapidly deteriorated.
局勢很快惡化了。
Yahoo 字典
to advance (or develop) by leaps and bounds
to progress rapidly
to make a mighty advance
to make great (or rapid) strides
香港新浪網 字典
advance rapidly
advance by leaps and bounds
GIGA線上英漢字典
advance by leaps and bounds