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What is the significance of the two letter shins (ש) on tefillin?

One side of tefillin has a regular shin (ש) and the second has four-prongs.

tefillin with regular shin (3 prongs) tefillin with four-pronged shin

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up vote 5 down vote accepted

From here, quoting the Beit Yosef to Orach Chaim 32:

The Verse says, "And all the nations of the land will see that the name of God is called upon you and they will fear you" (Devarim 28:10). The Talmud says that this refers to the the Tefillin Shel Rosh (Tefillin of the Head).

G-d Name, The Tetragramaton, is the numerical value of 300, using the Gematria Method known as AT-BASH:

Yud == Mem (40)

Hey == Tzadi (90)

Vav == Peh (80)

Hey == Tzadi (90)

So the 3 pronged Shin represents G-d's name.

According to the Sefer Mitzvos Gedolos, quoted by the Beit Yosef, the writing in the Luchos (Tablets) were sunken in. If so, a Shin had 4 prongs, and the 4 progned Shin on the Tefillin Shel Rosh commemorates that.

The Talmud (Menachot 35A - page 130 of here) says:

Abaye also said, The shin of the tefillin is a law given to Moses at Sinai

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I don't recall where I saw this, but essentially we have ש + ש + ו since the extra head of the Shin is a Vav.

This gives us a gematria of 606.

Now we add the 7 vertical bars that create the 2 Shins.

606 + 7 =613; corresponding to the 613 Mitzvoth.

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i heard it like this ש300 + ש300 + 6שש + vertical bars7 = 613 – hazoriz Feb 26 '15 at 4:01
6 was from the word shesh not from the ו – hazoriz Feb 26 '15 at 4:01
@hazoriz - interesting - but what is the source? I've been scrounging around for it for a while now. – Danny Schoemann Feb 26 '15 at 7:27

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