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

                                  SCHEDULE 13G

                   Under the Securities Exchange Act of 1934

                              Sears Roebuck & Co.
--------------------------------------------------------------------------------
                                (Name of Issuer)

                                  Common Stock
--------------------------------------------------------------------------------
                         (Title of Class of Securities)

                                   812387108
                        ------------------------------
                                 (CUSIP Number)

                               December 31, 2001
--------------------------------------------------------------------------------
            (Date of Event Which Requires Filing of this Statement)

Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

     [x] Rule 13d-1(b)
     [_] Rule 13d-1(c)
     [_] Rule 13d-1(d)

*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).

                               Page 1 of 4 Pages



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      NAME OF REPORTING PERSON
 1    S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

       Barrow, Hanley, Mewhinney & Strauss, Inc.
              752403190
------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP (SEE INSTRUCTIONS)
 2                                                              (a) [_]
                                                                (b) [_]
------------------------------------------------------------------------------
      SEC USE ONLY
 3
------------------------------------------------------------------------------
      CITIZENSHIP OR PLACE OF ORGANIZATION
 4    A Nevada Corporation
------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5
     NUMBER OF            2,855,460
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6
     OWNED BY             15,144,900
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7
    REPORTING             18,000,360
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8    --
------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    18,000,360
------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES
10    (SEE INSTRUCTIONS)
                                                                    [_]
------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
11    5.58%
------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON (SEE INSTRUCTIONS)
12    IA
------------------------------------------------------------------------------

                               Page 2 of 4 Pages


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Item 1
     (a) Name of Issuer:
             Sears Roebuck & Co.

     (b) Address of Issuer's Principal Executive Offices:
             3333 Beverly Rd. B-5 317A
             Hoffman Estates, Illinois 60179

Item 2
     (a) Name of Person Filing:
             Barrow, Hanley, Mewhinney & Strauss, Inc.

     (b) Address of Principal Business Office or, if none, Residence:
             One McKinney Plaza
             3232 McKinney Avenue, 15th Floor
             Dallas, TX 75204-2429

     (c) Citizenship:
             A Nevada corporation

     (d) Title of Class of Securities:
             Common Stock

     (e) CUSIP Number
             812387108

Item 3. If this statement is filed pursuant to Rules 13d-1(b), or 13d-2(b):
             The reporting person is an Investment Adviser registered under
             Section 203 of the Investment Advisers Act of 1940.

 Item 4. Ownership:

     (a)  Amount beneficially owned:
             18,000,360

     (b)  Percent of class:
             5.58%

     (c)  Number of shares as to which such person has:

          (i)   Sole power to vote or to direct the vote:
                    2,855,460

                                  Page 3 of 4


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          (ii)  Shared power to vote or to direct the vote:
                     15,144,900

          (iii) Sole power to dispose or to direct the disposition of:
                     18,000,360

          (iv)  Shared power to dispose or to direct the disposition of:
                     --

Item 5.  Ownership of Five Percent or Less of a Class:
              Not Applicable.

Item 6.  Ownership of More than Five Percent on Behalf of Another Person:
              The right to receive or the power to direct the receipt of
              dividends from, or the proceeds from the sale of, the common stock
              is held by certain clients of the reporting person, none of which
              has such right or power with respect to five percent or more of
              the common stock.

Item 7.  Identification and Classification of the Subsidiary which Acquired the
         Security Being Reported on by the Parent Holding Company:
              Not Applicable.

Item 8.  Identification and Classification of Members of the Group:
              Not Applicable.

Item 9.  Notice of Dissolution of a Group:
              Not Applicable.

Item 10. Certification:
              By signing below the undersigned certifies that, to the best of
              its knowledge and belief, the securities referred to above were
              acquired in the ordinary course of business and were not acquired
              for the purpose of and do not have the effect of changing or
              influencing the control of the issuer of such securities and were
              not acquired in connection with or as a participant in any
              transaction having such purpose or effect.

     After reasonable inquiry and to the best of its knowledge and belief, the
undersigned certifies that the information set forth in this statement is true,
complete and correct.
                                        BARROW, HANLEY, MEWHINNEY &
                                        STRAUSS, INC.

                                        By: /s/ James P. Barrow
                                           ----------------------------------
                                           Name:  James P. Barrow
                                           Title: President
February 8, 2002

                                Page 4 of 4 Pages