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                                                             OMB APPROVAL
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                                 UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                   FORM N-Q

                   QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS
    OF REGISTERED MANAGEMENT INVESTMENT COMPANY

  Investment Company Act file number 811-07870

                     Pioneer Real Estate Shares
               (Exact name of registrant as specified in charter)

                       60 State Street, Boston, MA 02109
              (Address of principal executive offices) (ZIP code)

            Terrence J. Cullen, Pioneer Investment Management, Inc.,
                       60 State Street, Boston, MA 02109
                    (Name and address of agent for service)

Registrant's telephone number, including area code:  (617) 742-7825

Date of fiscal year end:  December 31

Date of reporting period:  March 31, 2013

Form N-Q is to be used by management investment companies, other than small
business investment companies registered on Form N-5 (239.24 and 274.5 of this
chapter), to file reports with the Commission, not later than 60 days after
close of the first and third fiscal quarters, pursuant to Rule 30b1-5 under
the Investment Company Act of 1940 (17 CFR 270.30b1-5).  The Commission may
use the information provided on Form N-Q in its regulatory, disclosure review,
inspection, and policymaking roles.

A registrant is required to disclose the information specified by Form N-Q,
and the Commission will make this information public. A registrant is not
required to respond to the collection of information contained in Form N-Q
unless the Form displays a currently valid Office of Management and Budget
("OMB") control number. Please direct comments concerning the accuracy of the
information collection burden estimate and any suggestions for reducing the
burden to Secretary, Securities and Exchange Commission, 450 Fifth Street, NW,
Washington, DC 20549-0609.  The OMB has reviewed this collection of information
under the clearance requirements of 44 U.S.C. ss. 3507.

<PAGE>
ITEM 1. Schedule of Investments.
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|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Pioneer Real Estate Shares                                         |   |        |   |   |   |
|---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|---------|--------|------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|--------------------------------------------------------------------|--------|-------------|--------|--------|--------|
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Schedule of Investments 3/28/13                                    |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
|                                                                                                                                                                                                    | Shares  |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   | Value       |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | COMMON STOCKS - 96.5%                                              |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Consumer Services - 1.3%                                           |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Hotels, Resorts & Cruise Lines - 1.3%                          |   |        |   |   |   |
|                                                                                                                                                                                                    | 30,300  |   |                                                                                                                                                                                                                                                                                                                               | Starwood Hotels & Resorts Worldwide, Inc.                      | $      | 1,931,019   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Total Consumer Services                                            | $      | 1,931,019   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Real Estate - 95.2%                                                |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Diversified REIT's - 8.7%                                          |   |        |   |   |   |
|                                                                                                                                                                                                    | 57,400  |   |                                                                                                                                                                                                                                                                                                                               | American Assets Trust, Inc.                                        | $      | 1,837,374   |   |   |   |
|                                                                                                                                                                                                    | 83,700  |   |                                                                                                                                                                                                                                                                                                                               | First Potomac Realty Trust                                         |   | 1,241,271   |   |   |   |
|                                                                                                                                                                                                    | 77,700  |   |                                                                                                                                                                                                                                                                                                                               | Liberty Property Trust                                             |   | 3,088,575   |   |   |   |
|                                                                                                                                                                                                    | 101,200 |   |                                                                                                                                                                                                                                                                                                                               | Retail Opportunity Investments Corp.                               |   | 1,417,812   |   |   |   |
|                                                                                                                                                                                                    | 63,600  |   |                                                                                                                                                                                                                                                                                                                               | Vornado Realty Trust                                               |   | 5,319,504   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               | $      | 12,904,536  |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Industrial REIT's - 4.8%                                           |   |        |   |   |   |
|                                                                                                                                                                                                    | 178,500 |   |                                                                                                                                                                                                                                                                                                                               | Prologis, Inc.                                                     | $      | 7,136,430   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Office REIT's - 13.1%                                              |   |        |   |   |   |
|                                                                                                                                                                                                    | 35,000  |   |                                                                                                                                                                                                                                                                                                                               | Alexandria Real Estate Equities, Inc.                              | $      | 2,484,300   |   |   |   |
|                                                                                                                                                                                                    | 119,300 |   |                                                                                                                                                                                                                                                                                                                               | BioMed Realty Trust, Inc.                                          |   | 2,576,880   |   |   |   |
|                                                                                                                                                                                                    | 59,100  |   |                                                                                                                                                                                                                                                                                                                               | Boston Properties, Inc.                                            |   | 5,972,646   |   |   |   |
|                                                                                                                                                                                                    | 24,100  |   |                                                                                                                                                                                                                                                                                                                               | Douglas Emmett, Inc.                                               |   | 600,813     |   |   |   |
|                                                                                                                                                                                                    | 92,200  |   |                                                                                                                                                                                                                                                                                                                               | DuPont Fabros Technology, Inc.                                     |   | 2,237,694   |   |   |   |
|                                                                                                                                                                                                    | 86,700  |   |                                                                                                                                                                                                                                                                                                                               | Kilroy Realty Corp.                                                |   | 4,543,080   |   |   |   |
|                                                                                                                                                                                                    | 55,300  |   |                                                                                                                                                                                                                                                                                                                               | Piedmont Office Realty Trust, Inc. (144A)                          |   | 1,083,327   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               | $      | 19,498,740  |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Residential REIT's - 16.1%                                         |   |        |   |   |   |
|                                                                                                                                                                                                    | 42,700  |   |                                                                                                                                                                                                                                                                                                                               | American Campus Communities, Inc.                                  | $      | 1,936,018   |   |   |   |
|                                                                                                                                                                                                    | 45,700  |   |                                                                                                                                                                                                                                                                                                                               | AvalonBay Communities, Inc.                                        |   | 5,788,819   |   |   |   |
|                                                                                                                                                                                                    | 41,300  |   |                                                                                                                                                                                                                                                                                                                               | BRE Properties, Inc. (144A)                                        |   | 2,010,484   |   |   |   |
|                                                                                                                                                                                                    | 50,000  |   |                                                                                                                                                                                                                                                                                                                               | Camden Property Trust                                              |   | 3,434,000   |   |   |   |
|                                                                                                                                                                                                    | 31,600  |   |                                                                                                                                                                                                                                                                                                                               | Equity Lifestyle Properties, Inc.                                  |   | 2,426,880   |   |   |   |
|                                                                                                                                                                                                    | 152,200 |   |                                                                                                                                                                                                                                                                                                                               | Equity Residential                                                 |   | 8,380,132   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               | $      | 23,976,333  |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Retail REIT's - 23.1%                                              |   |        |   |   |   |
|                                                                                                                                                                                                    | 166,400 |   |                                                                                                                                                                                                                                                                                                                               | DDR Corp.                                                          | $      | 2,898,688   |   |   |   |
|                                                                                                                                                                                                    | 33,500  |   |                                                                                                                                                                                                                                                                                                                               | Federal Realty Investment Trust                                    |   | 3,619,340   |   |   |   |
|                                                                                                                                                                                                    | 45,400  |   |                                                                                                                                                                                                                                                                                                                               | National Retail Properties, Inc.                                   |   | 1,642,118   |   |   |   |
|                                                                                                                                                                                                    | 67,500  |   |                                                                                                                                                                                                                                                                                                                               | Ramco-Gershenson Properties Trust                                  |   | 1,134,000   |   |   |   |
|                                                                                                                                                                                                    | 59,200  |   |                                                                                                                                                                                                                                                                                                                               | Regency Centers Corp.                                              |   | 3,132,272   |   |   |   |
|                                                                                                                                                                                                    | 56,000  |   |                                                                                                                                                                                                                                                                                                                               | Retail Properties of America, Inc. (144A)                          |   | 828,800     |   |   |   |
|                                                                                                                                                                                                    | 81,000  |   |                                                                                                                                                                                                                                                                                                                               | Simon Property Group, Inc.                                         |   | 12,843,360  |   |   |   |
|                                                                                                                                                                                                    | 18,000  |   |                                                                                                                                                                                                                                                                                                                               | Taubman Centers, Inc.                                              |   | 1,397,880   |   |   |   |
|                                                                                                                                                                                                    | 106,500 |   |                                                                                                                                                                                                                                                                                                                               | The Macerich Co.                                                   |   | 6,856,470   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               | $      | 34,352,928  |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Specialized REIT's - 27.5%                                         |   |        |   |   |   |
|                                                                                                                                                                                                    | 9,200   |   |                                                                                                                                                                                                                                                                                                                               | Aviv Real Estate Investment Trust, Inc. (144A) *                   | $      | 221,352     |   |   |   |
|                                                                                                                                                                                                    | 74,400  |   |                                                                                                                                                                                                                                                                                                                               | CubeSmart                                                          |   | 1,175,520   |   |   |   |
|                                                                                                                                                                                                    | 61,300  |   |                                                                                                                                                                                                                                                                                                                               | EPR Properties (144A)                                              |   | 3,190,665   |   |   |   |
|                                                                                                                                                                                                    | 77,800  |   |                                                                                                                                                                                                                                                                                                                               | Extra Space Storage, Inc.                                          |   | 3,055,206   |   |   |   |
|                                                                                                                                                                                                    | 135,900 |   |                                                                                                                                                                                                                                                                                                                               | HCP, Inc.                                                          |   | 6,775,974   |   |   |   |
|                                                                                                                                                                                                    | 55,100  |   |                                                                                                                                                                                                                                                                                                                               | Health Care Real Estate Investment Trust, Inc.                     |   | 3,741,841   |   |   |   |
|                                                                                                                                                                                                    | 271,500 |   |                                                                                                                                                                                                                                                                                                                               | Host Hotels & Resorts, Inc.                                    |   | 4,748,535   |   |   |   |
|                                                                                                                                                                                                    | 24,700  |   |                                                                                                                                                                                                                                                                                                                               | Omega Healthcare Investors, Inc.                                   |   | 749,892     |   |   |   |
|                                                                                                                                                                                                    | 22,900  |   |                                                                                                                                                                                                                                                                                                                               | Pebblebrook Hotel Trust                                            |   | 590,591     |   |   |   |
|                                                                                                                                                                                                    | 50,900  |   |                                                                                                                                                                                                                                                                                                                               | Public Storage                                                     |   | 7,753,088   |   |   |   |
|                                                                                                                                                                                                    | 85,300  |   |                                                                                                                                                                                                                                                                                                                               | RLJ Lodging Trust (144A)                                           |   | 1,941,428   |   |   |   |
|                                                                                                                                                                                                    | 95,200  |   |                                                                                                                                                                                                                                                                                                                               | Ventas, Inc.                                                       |   | 6,968,640   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               | $      | 40,912,732  |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Real Estate Operating Companies - 1.9%                             |   |        |   |   |   |
|                                                                                                                                                                                                    | 46,700  |   |                                                                                                                                                                                                                                                                                                                               | Brookfield Office Properties, Inc.                                 | $      | 801,839     |   |   |   |
|                                                                                                                                                                                                    | 114,500 |   |                                                                                                                                                                                                                                                                                                                               | Forest City Enterprises, Inc. *                                    |   | 2,034,665   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               | $      | 2,836,504   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Total Real Estate                                                  | $      | 141,618,203 |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | TOTAL COMMON STOCKS                                                |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | (Cost $71,253,753)                                                 | $      | 143,549,222 |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | TOTAL INVESTMENT IN SECURITIES - 96.5%                             |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | (Cost $71,253,753) (a)                                             | $      | 143,549,222 |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | OTHER ASSETS & LIABILITIES - 3.5%                              | $      | 5,185,034   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | TOTAL NET ASSETS - 100.0%                                          | $      | 148,734,256 |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
|                                                                                                                                                                                                    | *       |   |                                                                                                                                                                                                                                                                                                                               | Non-income producing security.                                     |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
|                                                                                                                                                                                                    | (144A)  |   | Security is exempt from registration under Rule 144A of the Securities Act of 1933.  Such securities may be resold normally to qualified institutional buyers in a transaction exempt from registration.  At March 28, 2013, the value of these securities amounted to $9,276,056 or 6.2% of total net assets. |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
|                                                                                                                                                                                                    | (a)     |   |                                                                                                                                                                                                                                                                                                                               | At March 28, 2013, the net unrealized gain on investments based on |   |        |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | cost for federal income tax purposes of $74,746,951was as follows: |   |        |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Aggregate gross unrealized gain for all investments in which       |   |        |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | there is an excess of value over tax cost                          | $      | 68,929,716  |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Aggregate gross unrealized loss for all investments in which       |   |        |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | there is an excess of tax cost over value                          |   | (127,445)   |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               | Net unrealized gain                                                | $      | 68,802,271  |   |   |   |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
| Various inputs are used in determining the value of the Fund’s investments.  These inputs are summarized in the three broad levels listed below.                                        |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
| Level 1 – quoted prices in active markets for identical securities                                                                                                                                |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |
| Level 2 – other significant observable inputs (including quoted prices for similar securities, interest rates, prepayment speeds, credit risk, etc.) See Notes to Financial Statements - Note 1A. |
| Level 3 – significant unobservable inputs (including the Fund’s own assumptions in determining fair value of investments) See Notes to Financial Statements - Note 1A.                      |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
| Generally, equity securities are categorized as Level 1, fixed income securities and senior loans as Level 2 and securities valued                                                                      |
| using fair value methods (other than prices supplied by independent pricing services) as Level 3.  See Notes to Financial Statements - Note 1A.                                               |
|                                                                                                                                                                                                    |    |   |                                                                                                                                                                                                                                                                                                                               |                                                               |   |        |   |   |   |
| The following is a summary of the inputs used as of March 28, 2013, in valuing the Fund’s investments:                                                                                            |

|          |   | Level 1 |        |   | Level 2 |   |   | Level 3 |   |   | Total |   |
|---------------|--------|---------|-------------|--------|---------|--------|--------|---------|--------|--------|-------|--------|
| Common Stocks |   | $       | 143,549,222 |   |    | $      | -      |    |   | $      | -     |   |   | $ | 143,549,222 |   |
| Total         |   | $       | 143,549,222 |   |    | $      | -      |    |   | $      | -     |   |   | $ | 143,549,222 |   |