Why do some say Hodu before Baruch Sh'Amar while others recite it after?

Tefila 101: The Fundamentals of Tefila · Classes & Recordings

• Lesson Thirteen-Baruch Sh'Amar
• Lesson Fourteen-The Words Within Baruch Sh'Amar
• Lesson Fifteen-The Placement Of Hodu
• Lesson Sixteen-The Organization Of Hodu

A Look at the Machzor Roma: The Roman Rite · Classes & Recordings

• Source Sheet Lesson Eight-The Tefilos Before Baruch Sh'Amar
• Source Sheet Lesson Nine-Baruch Sh'Amar
• Source Sheet Lesson Five-Korbanos Until Hodu
• Source Sheet Lesson Seven-The Tefila Before Tefila To Hodu

Pesukei D'Zimra · The Siddur, Prayer by Prayer

• Origin of Baruch Sh'Amar
• The Sentences that Precede the Bracha in Baruch Sh'Amar
• Hodu

Shabbos Shacharis & Mussaf · The Siddur, Prayer by Prayer

• Modifying The Words Of Baruch Sh'Amar On Shabbos
• The Prayers That Precede Baruch Sh'Amar On Shabbos