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                                                                  EXHIBIT (A)(4)

                          WTI ACQUISITION CORPORATION

                           OFFER TO PURCHASE FOR CASH
                     ALL OUTSTANDING SHARES OF COMMON STOCK
                                       OF

                     WAVE TECHNOLOGIES INTERNATIONAL, INC.
                                       AT

                              $9.75 NET PER SHARE
                                       BY

                          WTI ACQUISITION CORPORATION
                          A WHOLLY OWNED SUBSIDIARY OF

                            THE THOMSON CORPORATION

    THE OFFER AND WITHDRAWAL RIGHTS WILL EXPIRE AT 12:00 MIDNIGHT, NEW YORK
      CITY TIME, ON TUESDAY, APRIL 18, 2000 UNLESS THE OFFER IS EXTENDED.

                                                                  March 22, 2000

To Brokers, Dealers, Commercial Banks,
  Trust Companies and Other Nominees:

     WTI Acquisition Corporation., a Delaware corporation ("Purchaser") and a
wholly owned subsidiary of The Thomson Corporation, a corporation organized
under the laws of Ontario, Canada ("Thomson"), has offered to purchase all
outstanding shares of Common Stock, par value $0.50 per share (the "Shares"), of
Wave Technologies International, Inc., a Missouri corporation (the "Company"),
at a price of $9.75 per Share, net to the seller in cash, upon the terms and
subject to the conditions set forth in Purchaser's Offer to Purchase, dated
March 22, 2000 (the "Offer to Purchase"), and the related Letter of Transmittal
(which, together with any amendments or supplements thereto, collectively
constitute the "Offer"). Please furnish copies of the enclosed materials to
those of your clients for whose accounts you hold Shares registered in your name
or in the name of your nominee.

     THE OFFER IS CONDITIONED UPON, AMONG OTHER THINGS, THERE BEING VALIDLY
TENDERED AND NOT WITHDRAWN PRIOR TO THE EXPIRATION OF THE OFFER AT LEAST
TWO-THIRDS OF THE SHARES OUTSTANDING ON A FULLY DILUTED BASIS. THE OFFER IS ALSO
CONDITIONED UPON, AMONG OTHER THINGS, THE EXPIRATION OR TERMINATION OF ANY
APPLICABLE ANTITRUST WAITING PERIOD.

     Enclosed for your information and use are copies of the following
documents:

          1.  Offer to Purchase, dated March 22, 2000;

          2.  Letter of Transmittal to be used by holders of Shares in accepting
     the Offer and tendering Shares;

          3.  Notice of Guaranteed Delivery to be used to accept the Offer if
     the Shares and all other required documents are not immediately available
     or cannot be delivered to ChaseMellon Shareholder Services, L.L.C. (the
     "Depositary") by the Expiration Date (as defined in the Offer to Purchase)
     or if the procedure for book-entry transfer cannot be completed by the
     Expiration Date;
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          4.  A letter to shareholders of the Company from Kenneth W. Kousky,
     Chairman, President and Chief Executive Officer of the Company, together
     with a Solicitation/Recommendation Statement on Schedule 14D-9 filed with
     the Securities and Exchange Commission by the Company;

          5.  A letter which may be sent to your clients for whose accounts you
     hold Shares registered in your name or in the name of your nominee, with
     space provided for obtaining such clients' instructions with regard to the
     Offer;

          6.  Guidelines for Certification of Taxpayer Identification Number on
     Substitute Form W-9; and

          7.  Return envelope addressed to the Depositary.

     WE URGE YOU TO CONTACT YOUR CLIENTS AS PROMPTLY AS POSSIBLE. PLEASE NOTE
THAT THE OFFER AND WITHDRAWAL RIGHTS EXPIRE AT 12:00 MIDNIGHT, NEW YORK CITY
TIME, ON TUESDAY, APRIL 18, 2000, UNLESS THE OFFER IS EXTENDED.

     In all cases, payment for Shares accepted for payment pursuant to the Offer
will be made only after timely receipt by the Depositary of certificates
evidencing such Shares (or a confirmation of a book-entry transfer of such
Shares into the Depositary's account at one of the Book-Entry Transfer
Facilities (as defined in the Offer to Purchase)), a Letter of Transmittal (or
facsimile thereof) properly completed and duly executed and any other required
documents.

     If holders of Shares wish to tender, but cannot deliver such holder's
certificates or cannot comply with the procedure for book-entry transfer prior
to the expiration of the Offer, a tender of Shares may be effected by following
the guaranteed delivery procedure described in "Section 3. Procedures for
Accepting the Offer and Tendering Shares" of the Offer to Purchase.

     Purchaser will not pay any fees or commissions to any broker, dealer or
other person (other than the Depositary and the Information Agent as described
in the Offer) in connection with the solicitation of tenders of Shares pursuant
to the Offer. However, Purchaser will reimburse you for customary mailing and
handling expenses incurred by you in forwarding any of the enclosed materials to
your clients. Purchaser will pay or cause to be paid any stock transfer taxes
payable with respect to the transfer of Shares to it, except as otherwise
provided in Instruction 6 of the Letter of Transmittal.

     Any inquiries you may have with respect to the Offer should be addressed to
Innisfree M&A Incorporated (the "Information Agent") at its address and
telephone number set forth on the back cover page of the Offer to Purchase.

     Additional copies of the enclosed material may be obtained from the
Information Agent, at the address and telephone number set forth on the back
cover page of the Offer to Purchase.

                                          Very truly yours,

                                          WTI Acquisition Corporation

NOTHING CONTAINED HEREIN OR IN THE ENCLOSED DOCUMENTS SHALL CONSTITUTE YOU OR
ANY OTHER PERSON THE AGENT OF THOMSON, PURCHASER, THE COMPANY, THE INFORMATION
AGENT OR THE DEPOSITARY, OR OF ANY AFFILIATE OF ANY OF THEM, OR AUTHORIZE YOU OR
ANY OTHER PERSON TO USE ANY DOCUMENT OR TO MAKE ANY STATEMENT ON BEHALF OF ANY
OF THEM IN CONNECTION WITH THE OFFER OTHER THAN THE ENCLOSED DOCUMENTS AND THE
STATEMENTS CONTAINED THEREIN.

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