Numerous points to ponder and current applications in today's reading.

In Deuteronomy 31 God tells Moses that His people will soon turn away from him and break the covenant.  In verse 17 God says, "I will forsake them...I will hide my face from them."  God is telling Moses that He will remove His hand of protection and allow them to suffer the consequences of their disobedience.

Deuteronomy 31:26
Take this book of the Law, and put it beside the ark of the covenant of the Lord your God, so that it may be there for a witness against you.
God Himself wrote the Ten Commandments on stone.  Moses wrote all the other commandments, laws, decrees, etc at the dictation of God.  The Ten Commandments were placed inside the Ark of the Covenant. Exodus 25:16  And you shall put into the ark the testimony which I shall give you. 
But God instructed Moses to place what he wrote beside the Ark of the Covenant.  It seems that the Ten Commandments will be preserved forever.

The Song of Moses gave us "food for thought". God told Moses that this song will testify against the Israelites when they sin. It is a judgment against Israel and also a judgment against us as individual believers and us as a church and a nation.

Here is a great verse to ponder.
"Let my teaching fall like rain and my words descend like dew, like showers on new grass, like abundant rain on tender plants."
God is telling us that even though He chastises us, it will be good for us because it gives us an opportunity to change.

Deuteronomy 32:15-22 has a verse hidden away, "...gods that recently appeared..." We thought about many "gods" that have recently appeared in our culture today...sports, leisure activities, rock stars, movie stars, politicians, etc. We can "fill in the blank" with anything that pulls us away from an abiding relationship with HIM.

There are some definite modern day applications to the next few verses.
Deuteronomy 32:23-27,
"wasting famine, consuming pestilence, deadly plague" - sounds like addictions, Aids, STDs, etc.
"in their homes terror will reign" - home invasions?
perish- "infants and gray haired men." - abortions and euthanasia?
"a nation without sense, there is no discernment in them." - bad political and economic decisions, arming our enemies?
"Their vine comes from the vine of Sodom and from the fields of Gomorrah" -homosexuality, sexual perversion?

There is a warning in Deuteronomy 32:34-38 but in Deuteronomy 32:47a God reminds them about the words of the law.
"They are not just idle words for you - they are your life."
How very true!

There is a great book we would recommend, The Harbinger by Jonathan Cahn and the video The Isaiah 9:10 Judgment. It relates prophecies for Israel with America today.

In all of our spiritual battles, this promise should empower and encourage us. “The Lord himself goes before you; he will never leave you nor forsake you. Do not be afraid; do not be discouraged.” 
Of course, we should obey Him to truly benefit from these promises.

Discouragement is one of the Devil’s Deadly Ds. If we give in to discouragement it inevitably leads to doubt. Satan will whisper in our ears the same thing he whispered to Eve, “Did God really say….”

God warns Moses that the people will be unfaithful. He calls it prostitution. When we are unfaithful to God, with some gain for us, that is spiritual prostitution.  When we engage in sinful activities or profit in some way from sinful activities we are committing spiritual prostitution.

The Song of Moses is mentioned again in Revelation 15. John saw those who had been victorious over the beast and his image. They were singing the Song of Moses.
Revelation 15:3-4
And they sing the song of Moses the servant of God, and the song of the Lamb, saying, Great and marvelous are Your works, Lord God Almighty, just and true are Your ways, O King of saints. Who shall not fear You, O Lord, and glorify Your name? For You only are holy. For all nations shall come and worship before You, for Your righteousnesses were made known. 
Compare this song in Revelation to the one in Deuteronomy.  Quite a contrast!

Deuteronomy 32:18
You deserted the Rock, who fathered you; you forgot the God who gave you birth.

Ever wonder who the Rock was? Paul tells us.
1 Corinthians 10:1-4
For I do not want you to be ignorant of the fact, brothers, that our forefathers were all under the cloud and that they all passed through the sea. They were all baptized into Moses in the cloud and in the sea. They all ate the same spiritual food and drank the same spiritual drink; for they drank from the spiritual rock that accompanied them, and that rock was Christ.

Here's a great little verse giving us assurance that our salvation is secure!
Deuteronomy 32:39
"See now that I myself am He! There is no god besides me. I put to death and I bring to life, I have wounded and I will heal, and no one can deliver out of my hand.

Oh, and here's another one...
2 Corinthians 1:21-22
Now it is God who makes both us and you stand firm in Christ. He anointed us, set his seal of ownership on us, and put his Spirit in our hearts as a deposit, guaranteeing what is to come.

Assurance of salvation?  Any doubts???