POWER OF ATTORNEY
                        FOR SECTION 16 REPORTING PURPOSES

         Know all by these presents, that the undersigned hereby constitutes and
appoints each of James P. Purko, Lea DeVillers and Scott Heinert, or any of them
signing singly, and with full power of substitution, as the undersigned's true
and lawful attorney-in-fact to:

         (1)   prepare, execute for and on behalf of the undersigned Forms 3,
               4, and 5 in accordance with Section 16(a) of the Securities
               Exchange Act of 1934 and the rules thereunder, and any other
               forms or reports the undersigned may be required to file in
               connection with the undersigned's ownership, acquisition, or
               disposition of securities of Connecture, Inc. (the "Company");

         (2)   do and perform any and all acts for and on behalf of the
               undersigned which may be necessary or desirable to complete
               and execute any such Form 3, 4, or 5, or other form or report,
               and timely file such form or report with the United States
               Securities and Exchange Commission and any stock exchange or
               similar authority; and

         (3)   take any other action of any type whatsoever in connection
               with the foregoing, which, in the opinion of such
               attorney-in-fact, may be of benefit to, in the best interest
               of, or legally required by, the undersigned, it being
               understood that the documents executed by such
               attorney-in-fact on behalf of the undersigned pursuant to this
               Power of Attorney shall be in such form and shall contain such
               terms and conditions as such attorney-in-fact may approve in
               such attorney-in-fact's discretion.

         The undersigned hereby grants to each such attorney-in-fact full power
and authority to do and perform any and every act and thing whatsoever
requisite, necessary, or proper to be done in the exercise of any of the rights
and powers herein granted, as fully to all intents and purposes as the
undersigned might or could do if personally present, with full power of
substitution or revocation, hereby ratifying and confirming all that such
attorney-in-fact, or such attorney-in-fact's substitute or substitutes, shall
lawfully do or cause to be done by virtue of this power of attorney and the
rights and powers herein granted. The undersigned acknowledges that the
foregoing attorney-in-fact, in serving in such capacity at the request of the
undersigned, is not assuming, nor is the Company assuming, any of the
undersigned's responsibilities to comply with Section 16 of the Securities
Exchange Act of 1934.

         This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4, and 5 with respect to the
undersigned's holdings of and transactions in securities issued by the Company,
unless earlier revoked by the undersigned in a signed writing delivered to the
foregoing attorneys-in-fact.

         IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney
to be executed as of this 10th day of December, 2014.

                                        GREAT POINT PARTNERS I GP, LLC


                                        /s/ Adam Dolder
                                        ----------------------------------------
                                        Name:  Adam Dolder
                                        Title: Managing Director