An interesting article that opens the door to a more enlightened understanding of the Soul of man, is the Chabad article by Aron Moss entitled, Do Jews Believe in Heaven or Reincarnation (or Both)?  In fact, this is one of the few articles that provides a higher understanding of how the Soul evolves to Wholeness and Perfection (see Wholeness of Mind & Being http://TreeOfLife.Nazirene.org#wholeness ) over the course of many unique lives.  I use the term unique, because unlike the Eastern teachings where the same personality continues to incarnate, the Jewish teachings parallel that of the Original Gospel teachings by portraying each soul-generated life as a unique personality.  

What the the Chabad article states is that part of our Soul dwells in Spirit, while another part of us sojourns in this physical life -- and this portrayal of Soul-Reality parallels the teaching of Jesus that was suppressed by the Church of Rome.    Quoting from Gospel of Thomas (GofT) Saying 84 - The Foundation Of The Soul And The Threefold Self http://GospelOfThomas.Nazirene.org#84 : (84) Jesus said, "When you see your likeness, you rejoice. But when you see your images which came into being before you, and which neither die nor become manifest, how much you will have to bear!"  When it states that  "When you see your likeness, you rejoice..." -- because your Likeness is your pre-existent Soul that remains in Spirit while you, as a soul-generated image, sojourns in this physical world.  Whereas, the portrayal of "...your images which came into being before you, and which neither die nor become manifest", is representative of those previous soul-generated (lives) that your Soul lived as, that failed to achieve the necessary Wholeness and Perfection that is able to enable the image-personality to become Manifest through the process of achieving the next stage of birth which can be called, Soul-Birth -- wherein, you fulfill the adage to Know Thyself by becoming At-One with your True-Self -- i.e., your Soul-Self. 
  
In the Chabad article this process is portrayed in the words: "...when your time comes to leave this life, the activated parts of your soul go to a higher place, because that part of you has completed its mission on earth. But if you have unused soul potential, if you didn't activate all of the energy invested in you, then that unused part of your soul comes back again in another body to finish the job.  So when someone passes away, we pray that their soul find rest in heaven, because that's where the already-used part of the soul is found. As for the unused part of the soul, it will come back down for another go-round."  That part of each life that had achieved degrees of Wholeness, remains with the Soul in Spirit.  And in each life, a new soul-generated personality re-enters this physical world in order to work on those aspects of the Soul that has yet to achieve the necessary Wholeness that initiates Soul-Birth and what GofT saying 84 portrays as becoming Manifest.  

Most people don't generally remember the previous lives their Soul has lived, because they came into being at physical conception when their Soul generated a new soul-image.  Most people never achieve what can be portrayed as Soul-Memory that enables them to recall their Soul's previous lives, because their mental and spiritual development became derailed because of their adopted beliefs that inhibit spiritual progress, their thinking and mindset that are an obstacle to mental-development, and the living of carnal-driven lifestyles (see Arrested Mental Development http://AnInconvenientTruth.org#ArrestedMentalDevelopment ).  But with each life the Soul lives, as a greater number of soul-generated personalities achieve degrees of Wholeness, each new soul-generated personality is able to arise to higher levels of spiritual manifestation because of the Spiritual DNA they inherited from their Higher Soul-Self.  The Rabbi Yisrael Ben Eliezer who came to be known by Chassidic Jews as the Baal Shem Tov (The Master of the Good Name), was able to achieve the necessary heightened levels of of spirituality, because of the Spiritual DNA he inherited through the advancement of his Soul over many previous lives.  The same was true of the man known today as Jesus.   And this is true of all of mankind.  That these truths are not understood today by the vast majority of non-Chassidic Jews, and the body of Christians who adhere to the dogma of the fourth century Church of Rome, is because both groups fail to live their daily lives in accord with their respective teachings.  In the case of Christians, while their scriptures were corrupted and the most important spiritual teachings were suppressed and even outlawed by the Church, the Original Gospel Teachings have been restored and can be read at http://OriginalGospel.Ebionite.com .  While the Spiritual DNA of the man Jesus enabled him to present the teachings of TheWay to the people in the first century, and his Spiritual DNA enabled Rabbi Eliezer to restore the spiritual essence of Judaism, my own Spiritual DNA enabled me to restore the Original Gospel teachings that were suppressed by the Church of Rome.             

Do Jews Believe in Heaven or Reincarnation (or Both)?

By Aron Moss