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數位個別指導教材研發與適性補救教學模式之研究-以國小五年級數學「因數與倍數」單元為例

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Abstract

In this research, a hybrid method of computerized adaptive test and individual remedial instruction is proposed. The computerized adaptive testing algorithm is based on students’ item structure and the individual remedial instruction is designed by experts’ knowledge structure and students’ item structure. Computerized adaptive test is first administrated for diagnosing individual student’s learning profile. Based on this profile, the adaptive individual remedial instruction process is constructed and administrated. The difference of pre-test and post-test shows that the proposed method can help students to improve their learning situations.

Keywords: computerized adaptive test, individual

remedial instruction, factor and multiple

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[1] Appleby, J., Samuels, P., & Treasure-Jones, T. ,“Dianosys - A Knowledge-based Diagnostic Test of Basic Mathematical Skills”, Computers and Education, 28(2), 113-131, 1997.

[2] Wainer, H. (Ed.), “Computerized adaptive testing: A primer (2nd ed.).Hillsdale”, NJ: Lawrence Erlbaum Publishers. , 2000.

[3] Brown, J.S. and Burton, R.,“Diagnostic models for procedural bugs in basic mathematical skills”, Cognitive Science, 2:155-192, 1978.

[4] Chang, K-E., Liu, S-H., & Chen, S-W., “A testing system for diagnosing misconceptions in DC electric circuits.”,Computers & Education, 31, 195-210, 1998.

[5] VanLehn K. “Student models. In Polson M.C. &

Richardson J.J. (eds.)”, Foundations of intelligent tutoring systems. Lawrence Erlbaum. Hillsdale., 1988.

[6] Wenger E.,“Artificial Intelligence and Tutoring Systems. Morgan Kaufmann”, Los Altos, CA 94022, 1987.

[7] Airasian, P. W, & Bart, W. M.,“Ordering theory: A new and useful measurement model”, Educational Technology,1973,5,56—60,1973.

[8] Takeya,“New item structure theorem”,Tokyo Waseda University, 1991. [9] X Y Z X2003X ! " # . J( ) * +¹ º Ô  3 4  =78  ─EM  =  ³ … f     X¶ ß Ì =  = ‹ =÷ Þ A ­  =  j ÄX [10] b c  X2004XEM  … f =_      =ž ^      X¶ ß Ì =  ‹ * +ø Ü  @  =  j ÄX [11] r s t X2005X EM  = ! ! ò " L 6]7 J$ Þ Ô    X¶ ß Ì =   = ‹ =÷ Ê =  j ÄX [12] H I ¸ X2002XEM =*  u ` ¬ ­  X# $  Ì =  Ê  ‹  @   j ÄX [13] U V W X2002XEM =*  u ` ¬ ­  X# $  Ì =  Ê  ‹  @   j ÄX [14] à á â ]ã ä å ]æ ç è ]é ê ë X2005X " # Ê j   & ' * + & ' 3 4  = % Z ÷ ø X¶ &  =a Ñ  E «X [15] à á â X2003XEM  =É $ % € & ' ( ) * +(I)X¢ '  EÈ É =(  «Ç ^  Ü  ¨ © (NSC 91-2520-S-142-001)X [16]   Ä )  X2005XE* M = = = \  +  ³ Z X¶ , - X [17] Ï I Ð ]Ñ Ò Ó ]à á â ]. / 0 X2006XE M  =É $ % € & ' ( ) * +Ú Û ' D X 2006 … $ %  1 2 É å  ‹ Z J   E «XEŽ 3 4  ‹  =X [18] Ï 5 6 X2005X   ¦ " #   J$ % & ' * +¹ º Ô /  3 4  =  —E M  =  î … f    ¦ XEŽ ¶ ß Ì =  = ‹ =÷   ¹   j ÄX [19] Ô Õ ]æ Ö × ]à á â ]7 8 9 X2006X 0 ^ " # Ê j   & ' * +© ^ j k Ú Û ' D X2006  É å  : 3 ; Ê E¤  E «X<=  =X [20] > ? @ X2006X        5 6§ -F õ ú  X¶ ß ‹  = = ‹ =÷ Þ A ­  =  j ÄX [21] é A ë X2003XEM  =  $ % € & ' ( ) * +Ô 3 4  =÷ ø Á  § Ô 0  ─  7]B 7  X¶ ß Ì = * +ø Ü  @   j ÄX [22] ã { | ]H } ~ X2006XEM Æ C à  0 €   =   $ % D / ‰ ³ =a Š Ü  XÊ ,  =¨ 40Ã1ƒX

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