BEAR STEARNS FUNDS
497, 1997-12-31
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                                                                     Rule 497(e)
                                                       Registration No. 33-84842

                             THE BEAR STEARNS FUNDS
                            THE INSIDERS SELECT FUND
                       SUPPLEMENT DATED DECEMBER 24, 1997
                      TO PROSPECTUS DATED DECEMBER 24, 1997


         A Special  Meeting of  shareholders  has been  scheduled for January 9,
1998. At that meeting,  shareholders will be asked to approve certain changes to
the Investment  Advisory  Agreement.  Pending  approval by  shareholders  at the
Special  Meeting,  the following  language is substituted for the language under
"Management Policies" on pages 6-7 of the Prospectus:

MANAGEMENT POLICIES

Under normal market  conditions,  the Adviser invests  substantially  all of the
Portfolio's assets in the equity securities of U.S. issuers. The Adviser selects
equity  securities   believed  by  it  to  provide   opportunities  for  capital
appreciation or gains through short selling. Issuers are selected without regard
to market  capitalization,  although  the Adviser  anticipates  that the issuers
principally will be mid- to large capitalization  companies; that is, those with
market capitalizations exceeding $1 billion.

The Adviser selects from the universe of U.S. equity securities those securities
it  believes,  in the  aggregate,  will  approximate  or exceed the total return
performance of the Standard & Poor's 500 Stock Index* (the "S&P 500 Index"). The
S&P 500 Index is  composed  of 500  selected  common  stocks,  most of which are
listed on the New York Stock  Exchange.  The composition of the S&P 500 Index is
determined   by  Standard  &  Poor's   based  on  such  factors  as  the  market
capitalization  and  trading  activity  of  each  stock  and its  adequacy  as a
representative of stocks in a particular industry group, and may be changed from
time to time.  The  weightings  of stocks in the S&P 500 Index are based on each
stock's  relative  total  market  capitalization;  that is, its market price per
share times the number of shares outstanding.  Because of this weighting,  as of
March 31,  1997,  approximately  48% of the S&P 500 Index was composed of the 50
largest companies.  The Portfolio will not invest in all or substantially all of
the common  stocks  included  in the S&P 500 Index and may invest in stocks that
are not  included in the S&P 500 index.  The  Portfolio  expects  ordinarily  to
invest in approximately 60 to 150 stocks.

By investing in this  manner-that  is  purchasing  other equity  securities in a
manner  intended  to  approximate  or  exceed  the  performance  of the  S&P 500
Index-the Adviser seeks to exceed the total return of the S&P 500 Index.

Equity securities consist of common stocks, convertible securities and preferred
stocks.  The convertible  securities and preferred stocks in which the Portfolio
may invest will be rated at least  investment  grade by a nationally  recognized
statistical rating organization at the time of purchase.  Convertible securities
rated  in  the  lowest  investment  grade  rating  may  be  considered  to  have
speculative characteristics. Preferred stock generally receives dividends before
distributions  are paid on common stock and ordinarily has a priority claim over
common stockholders if the issuer of the stock is liquidated.  The Portfolio may
invest, in anticipation of investing cash positions, in money market instruments
consisting  of  U.S.  Government  securities,   certificates  of  deposit,  time
deposits, bankers' acceptances,  short-term investment grade corporate bonds and
other short-term debt instruments,  and repurchase  agreements,  as set forth in
the Appendix. Under normal market conditions, the Portfolio expects to have less
than 15% of its assets invested in money market instruments.  However,  when the
Adviser determines that adverse market conditions exist, the Portfolio may adopt
a  temporary  defensive  posture  and invest  all of its assets in money  market
instruments.

- --------
*    "Standard  & Poor's,"  "S&P(R)",  and "S&P  500(R)" are  trademarks  of The
     McGraw-Hill Companies, Inc. The Portfolio is not sponsored,  endorsed, sold
     or promoted by Standard & Poor's or The McGraw-Hill Companies, Inc.


<PAGE>

Pending approval by shareholders at the Special Meeting,  the following language
is substituted for the language in the third paragraph under "Investment Adviser
and Administrator" on page 11 of the Prospectus:

Under the terms of the Investment Advisory  Agreement,  the Portfolio has agreed
to pay BSAM a monthly  fee at the annual rate of 1% of the  Portfolio's  average
daily net assets (the "Basic Fee") which will be adjusted  monthly (the "Monthly
Performance  Adjustment")  depending  on the  extent  to  which  the  investment
performance  of the class of shares  (currently,  Class C)  expected to bear the
highest total Portfolio  operating  expenses,  after  expenses,  exceeded or was
exceeded by the percentage change in the investment record of the S&P 500 Index.
The Monthly  Performance  Adjustment may increase or decrease the total advisory
fee  payable to BSAM (the "Total  Advisory  Fee") by up to 0.50% per year of the
value of the Portfolio's average daily net assets.

The full range of Total Advisory Fees on an annualized basis is as follows:

<TABLE>
<CAPTION>
- --------------------------------------------------------------------------------------------------------------------

PERCENTAGE POINT DIFFERENCE
BETWEEN DESIGNATED CLASS'
PERFORMANCE (NET OF
EXPENSES INCLUDING ADVISORY FEES)                                       PERFORMANCE
AND PERCENTAGE CHANGE IN THE                                          ADJUSTMENT BASIS                     TOTAL FEE
S&P 500 INDEX                                                               FEE (%)         RATE (%)           (%)
- --------------------------------------------------------------------------------------------------------------------
<S>                                                                          <C>            <C>             <C>  
+3.00 percentage points or more...................................           1%             0.50%           1.50%
+2.75 percentage points or more but less than +3.00                          1%             0.40%           1.40%
percentage points.................................................
+2.50 percentage points or more but less than +2.75                          1%             0.30%           1.30%
percentage points.................................................
+2.25 percentage points or more but less than +2.50                          1%             0.20%           1.20%
percentage points.................................................
+2.00 percentage points or more but less than +2.25                          1%             0.10%           1.10%
percentage points.................................................
Less than +2.00 percentage points but more than -2.00                        1%             0.00%           1.00%
percentage points.................................................
- -2.00 percentage points or less but more than -2.25                          1%            -0.10%           0.90%
percentage points.................................................
- -2.25 percentage points or less but more than -2.50                          1%            -0.20%           0.80%
percentage points.................................................
- -2.50 percentage points or less but more than -2.75                          1%            -0.30%           0.70%
percentage points.................................................
- -2.75 percentage points or less but more than -3.00                          1%            -0.40%           0.60%
percentage points.................................................
- -3.00 percentage points or less ..................................           1%            -0.50%           0.50%
</TABLE>

The period over which performance is measured is a rolling  twelve-month  period
and the  performance of the S&P 500 Index is calculated as the sum of the change
in the  level of the S&P 500  Index  during  the  period,  plus the value of any
dividends or distributions  made by the companies whose securities  comprise the
S&P 500 Index.  For the fiscal year ended March 31,  1997,  no fees were paid by
the Portfolio pursuant to a voluntary undertaking by BSAM.



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