Year 1344 (MCCCXLIV) was a leap year starting on Thursday (link will display the full calendar) of the Julian calendar.
March 26 – The Siege of Algeciras, one of the first European military engagements where gunpowder was used, comes to an end.
May 13 – Battle of Pallene: a Christian fleet defeats a Turkish fleet at Pallene, Chalcidice.
October 24 – Smyrniote Crusade: a Christian fleet succeeds in taking the port city of Smyrna from the Aydinid Turks.
December 6 – Five-year-old Erik Magnusson, the eldest son of king Magnus IV of Sweden, is appointed heir to the Swedish throne, even though Sweden, at this time, is an elective monarchy.
King Edward III of England introduces three new gold coins, the florin, leopard, and helm. Unfortunately the amount of gold in the coins does not match their value of 6 shillings, 3 shillings, and 1 shilling and sixpence, so they have to be withdrawn and mostly melted down by August of this year.
The St. George's Night Uprising: Livonian Order hangs Vesse, the rebel Estonian Elder of Saaremaa Island.
Bablake School was founded in Coventry, England by Queen Isabella.
The Compagnia dei Bardi in Florence goes bankrupt, along with the Peruzzi Bank and the Acciaiuoli Bank.
Famine in China.
King Peter IV of Aragon defeats and deposes his cousin, James III of Majorca, thereby absorbing the Balearic Kingdom of Majorca into the Crown of Aragon.
February 9 – Meinhard III, Count of Tyrol (d. 1363)
September 18 – Marie Valois, daughter of King John II of France (d. 1404)
October 10 – Mary Plantagenet, daughter of King Edward III of England (d. 1362)
date unknown
Beatrix of Bavaria, queen consort of Sweden (d. 1359)
Azzo X d'Este, condottiero (d. 1415)
John I, Count of La Marche (d. 1393)
Parameswara, Malay Srivijayan prince (d. 1424)
January 11 – Thomas Charlton, Bishop of Hereford, Lord High Treasurer of England, Lord Privy Seal, and Lord Chancellor of Ireland
January 30 – William Montacute, 1st Earl of Salisbury (b.1301)
April 17 – Constantine II, King of Armenia
July 11 – Ulrich III, Count of Württemberg (b. c. 1286)
date unknown
Gersonides, French rabbi and mathematician (b. 1288)
Raoul I of Brienne, Count of Eu
Wajih ad-Din Mas'ud, leader of the Sarbadars of Sabzewar
Prince Narinaga, Japanese Shogun (born in 1326, died in either 1337 or 1344, the sources are contradictory).
probable – Simone Martini, Sienese painter (b. 1284)
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