2008-09-28T12:08:01+05:30 6+s3hgZnjAs7uW3WjuFZqiKvLitfAdMVT3FXYqxX8yfNkvlby4NSiurO0kaeOBJb5XkQmStFVFkg 9Hoeg3kejP8AW76GeXUIf0fdyN6sUsaRwCFJeVr60bySB5mIXjxO5xVDeTfPH5l6tqWmrq2ifU7C The first four categories address general dimensions of teacher knowledge that were the mainstay of teacher education programs at the time. In addition, a teacher must know why these are the accepted facts in a given field, how knowledge is constructed, why some aspects of the field are more important than others, what alternative understandings of a subject exist, how the facts are related to other concepts within and outside of the discipline, and why these things are worth knowing in the first place [2, 3]. h P0/�$3?/1G!�� 5-19U�jPXś���yL@�H_���wA�O�r�u?ݙf������׃��v�O���`[��� � �+l� rsVdirsVS2bzDpSStDDKby5Q0a3tFad1PYP6YYR18XIGKoDTIPMzW7xenFpkT3FxLzkIuLjhNcPI +tRTzPbpLbBp4xJGXEgd4g6pwaJlYsQA3w/aoMVVrm5jt0V5A7B3SIenG8p5SMEUkRqxC1PxMdlG wuWS2ii9e5vZorhEEYiuZHWNVidjLGbFxIknp0oaFmUriqZD80vIxkSI6g6zNKkDRNbXSyRSSyLH qfkhZXyQp+lZY1W61KeZV9eMPDql0ty6Vgnhb1I+CqruWU9WQ7UVULr8j5bpbh5deYXEl0t1F6UM t54pUkiiEM07epRWUcY7WUn4qbChIZOSrKtI1jT9XsEv7CRpLZ2kjq8ckTq8LtFIjxyqkiOjoysr y2oaclz9cuBd3QdpKPMLQ2PIqGp/vMxSnTv9rfFUNb/ln5JgV1TTifUeKWR5J7iR2eC6e9jZneRm )U!���$5�X�3/9�� �(�$5EOA�1'G!dB�BPjqjQP���b�D���Ĕ��Ģl��4�̼��ʂTGw�ļ��"�L���Ҥ�̔�Ģ��b=4�0������W1�gҼ߉3��Lg��x�w��٦��-p��������w��U" k_� Adobe Illustrator CS2 JBayG3WZY4gpd2BmCHirqeCMzmtApO2KoO9/ObytapIWgunkhd4riM/VohE63ElugllnnihjExgd SQKnMAV2JBKhlV+hfmh5P1nSpdStbiaOC3sf0lcLLbzBltxGJHKlVZJmjBo6ws/FvhO+Kul/NPyJ /9j/4AAQSkZJRgABAgEASABIAAD/7QAsUGhvdG9zaG9wIDMuMAA4QklNA+0AAAAAABAASAAAAAEA VYnfad+Yt3aeSpfKmqWun6Xbxwt5hguFVnuLfjAQkRMM9DwWQbMnUb+CrPcVeUan+VfnFNMNxo+t XYq7FXYq7FXYq7FXYq7FVK2tbW1i9K2hSCIs8hjjUIvORzI7UUAVd2LMe5NcVVcVdirsVdirsVdi KGJ3fmkc3qOY55TEqrCnJG+KhCrdn+YH50pNrepXWgoml2zWFzZ6fcWk8Upt75E5xLc81RTaA87h NJsEsLBGjto2dwHd5XZ5XaWR3klZ5Hd5HZmZmJJNTiqMxV2KuxV2KuxVLvMv/KOar/zB3H/JpsVS Teachers are required to have sound content knowledge of an area if they are to teach it effectively (Kastberg, 2004). Nevertheless, it is byrL9Xj4JwdVJC8ulcVdH+THl4Xk1/PqOo3OpTBCL6WS3EqSRNaPFKgSBEDRtpsXH4ePUEEHFXP+ 5l/OmJ4hodtc6hG6o1tJf2f1R5JS4E8c0ccDhY41qUeR7cnt6lBzVRUcnny68r+ZLhbvW/rA1XS5 VPw9MVT/AE780r+z0jyKmo28d7feZbG3mupzKIJjJJJawP6FukTCZgbv1WQFOKIx7UxVi97/AM5F VcVUhd2rXT2gmQ3caLK9uGHqLG5ZUcpXkFZkYA96HwxVxu7VbpLQzILuRGlS3LD1GjQqruEryKqz 3SOM3cMsE5RfQNTIlw45SFiOxGKtXH5IeVbn6qbi8v5WsFlj05i8ANvFKYqxJxhXkoSHhWTkxVm5 9dXdp9VgtwYY0tWkjSJawmFVUu3OpPIsaUVY2nkr8sNR03WbS58w3kOjaQIdHv7y4udPitniW1jN uuid:415CCBA00C7FDD11961BFF9C9A2B85EF 2008-09-28T12:12:37+05:30 +skabpz87OKS39S5q99a3snrXJlHqVay4r8A4hu9MVQcn5Iy3EqaQ11JFplp5fXSxfskZSa+9OS3 9kuWFxqVvNoIW19O2S0llW2Z/S5X8RkggE7yPHJGUY8OwxVx/wCciiuk/pp9ACaMbqPT0vDczV+s endstream endobj 8 0 obj <> endobj 9 0 obj <>stream While teacher content knowledge is crucially important to the improvement of teaching and learning, attention to its development and study has been uneven. Qq2el3tlJrfrPd6ZPpaTC14emJrextllCmZ6si6aCRUV59qbqoz8tfI/mHS9Q1U6tCtpYjT7fR9N VKL4sKDfFU0xV2KuxV2KuxV2KuxV2KuxV2KuxV2KuxV2KuxV57rH5I+WNV1HUL6e+1CN9Qad3hhe MS985Wml2b+U4frGoPdFZ4ygdfQFtO5rUUB5qnCpUF+KkgE4qxFPPH5pJMqx6U01jK6fUJ7jS70X +X4Z4preKACOMK0jpqMqLHx9Ruf2agUVSS0u/wAnJ7nUrC7sJ0ljb6vbKRqd1c38N1aM8kiKqtNJ xJEqoLoX3qqhEfLiTq07bsd+PYUxVf5X/J/QPL2rJq8WpapqOoiZLiW51G5W4eWSOG6t1MjFFJ/d b6v6LPxWGjKeCmi1oqgPqX58yh5murjit1W0s5TpcbfV47u1aBrl7dR8bwGcTrG/E8SFG61VQA0T XmLc4oYX48zQMD0bdVmOKpdqv+92jf8AMY//AFB3GKpjirsVdirsVdirsVS6f/lI7H/mDu/+Ttti cLH8oNa1e9vLvU5IbG3nVfMmnR22pl7uW3DgcWhKepHGumyB2EciII2IMbcmKq/83tC/L2wsJ/Qk luvRWeNI3WY27G3kjSJUaFXsonC0ryWpJOKpvo35a2umaFqvl8ate3GkapbtAUk9BZoZJVkSWWKS 4lCxKPs/Vp2ksIgWZY2fjGAWoKBUFqyfkdpn+4Se1uPRubuayneE6gI0aK1MU6NcBlBgihthFIkb pMjXMKpJNAGBkRJCwRmWtQGMbcSetD4Yqq4q7FVGzvbO9t1ubOeO5t3LBJoXWRCVYq1GUkbMCD74 G6dENtL+9ljiCKeYKjkeX7whVVfXPyg0PV3u2l1LULdbmW4mWOFrXjCb2KaG7WP1LeQkTpdPy9Qs qoYzS6cZnASO2hiEsN6REInuVYgfYNeYCu0bzP8AnRNq2lQSWs7WDXCLLc3Vu8frp6wE/qAafC0a pEajcq8FoFVRi/mX+YU/lC61PT9Nj1DUbXV/qPGLS9QQva/UkuOQsmlMyv60np8nkCd8VUbLzx+c g/kte2cthcW19FrOpaibjSraK6tI/rFzNc2UriW8uGnjSX0Pq/OI8V9KgZQ5QI6r0Lyx5JTyj52u iSY3CR26JHH+9JWRRRtvgQMuKslvfzNltvLEWq/oxW1B9Tn0aSxE0rxi5tZJo5Sjw2808qf6OxXh z/JMdze2rX7m60+cW1zbpa3TyeoRK37tFiLSqFtpWLxhlAUkmgxVAQ/nH5On8tpr0IvWgZrJXtDa 21t6KsbApFNLOsx2VYfXT1CF58itC5wK9S8sa75G8uWNxoZ8xacWsbmaW4f1IoI4m1G6nnihYl2Q EhEbSr+8gVz9sMjDgyh6gKp/5n19ND0sXfo/WJ5ri3s7S35cA9xdzJbxKz0bgvOQcmoaDsemKsZ1 lolxHyKTLBGHUuZC9GC1HI3EpPjzb+Y4qpL5S8qq0DLo1irWrLJbEW0IMToI1Vo/h+EqsEYBH8i/ hDmpIPxAEBVWU+XvzKudZvoYJNMS0tb/AEq51iwnS69Wb0beaKHhPC0KCKQmatOTgUpua0VYt5b/ J5riaFdUKyxXNzdK89lAITbxRLyCzXDWtpMZlk5AmSR9yqsqqB81eRvzSk1nVdQh8zx2WkXcpFtA rvLmu65b61dS3MV5bQC2h9B0ULGFlj+BmR5I+SXDhuDqD8JPxKpCrVt+V3l228st5eiluFtGvYtR /NOKu/w15c/6tVn/ANI8X/NOKu/w15c/6tVn/wBI8X/NOKpd5j8ueXl8vaoy6XaKy2k5VhBECCIm DVJ/yk0/XLfUoF1k2mmtqd0wWkctxHBJcB+Ec0du5SbkGkj9NOQZwEwKxJ/zW87WCtqEIGr2MFpZ MpYSInEJ9YjU8v2jx+0CAqgY/wA3fy8ktYrxdVpaSo8guGt7pI1RK/HK7RBYlen7svQP+xXFUXp3 H4HiU6GR41qQqmfl38zZNZ1O9sv0aLVI4tSlsZzP6plXS7tbST1I/TT0+TSKygO3fw3VY1Y/n+o0 SWy3RlaL6p6otVRifVClyu4j3piqlL/zkj6emHVf0Av6OEoiWV7x4nlKW8dxMYUltU5DjMDDyKmQ 9u0vJWso25B5Uie1aNGJ4NVTuDuVUnksf+cgrXzVdanY2MtwL2O1t7mSW40qGLnbTTMOACTObILO C1kvo5oBqLEL+jo/Vkct9U5COVaiFuPxujrtxqVXsUbiSNXHRwGFetCK4qgNV/3u0b/mMf8A6g7j YxxSxNBLGttCqtE6ojRsAtCjLDGCvSir4DFUq8u/lx5f0LWrzWYDJcX96kkLy3AgLCKVxI6F44o3 kv51uNOtbSa5sD+jrKx0+0KXEqmVbE3dJ39W1njjc/W1YKYpKFfhZW4yBVbJ+Sfmw2Gs3d3qFs+v 2xV2KuxV2KuxV2KqUNrawPM8MKRPcP6twyKFMknFU5uQPibgirU9gB2xVua2tp2iaaJJWgf1YS6h 3psccsssrQz2moXjWnqxOYYvtGMtG6h04kMfiDR4qp2P56z/AOGdG1UaM91Fq0lvp9k0t2i3El4x fUf+ccLaewtrSx1mOyWGzt7eUixDB7q3SRWvwFnjKXD81+KtaLSp7Krbf/nHDhcWqzeYEl0q3W0S WZeRvI2m+TdKm03T7u8vIppvXMt/KJpF4xRwJGrBUokcUKKopsBiqY6r/vdo3/MY/wD1B3GKpjir s63VuWVpkaGXiv7thyau1KgKx228pfnfJNEst5fR2DiNJY/rfozK/wBcsmuJOf1++Yq8CT8KSCg5 Fa0r85/KepX9hYwpMs2oSLDEzSWbIJGYKqB47hxK1W+JYeZT9vjiqc2Xn/y9eecbrylC7nVLRGdz xrt0CqUaje/lhqeqX1jd6rp0urXccenXtst+iXP+iSSSxxhElV45IpHdgVo4PfYUVQHl21/Jyy1a Yqjbj8rfLlxqqai8tzzhvP0hbQB0EUM7XkV9MUHDlSee3Qycif8AJ41xVG615E0jVn1iS4luEbW7 LS7OxjsGtI7uLTJx60i2o1An600cQlRSzBjw5VCGhAoOOKp/e+SfLF7NpctzZljo6LHp6CWZI1RH MX1k8pgsvqVotzcWryxfvJ0n9ULFyblQtxYkkhUdrWt/nNcaJqEKW96l08F0lqlvbFGa1FrK0N16 FXYq7FUp8y+W7fX7KK2luZ7OS3mFxb3Vt6XqxyBWjJAmjmjNUkZfiQ9dt6HFVLyb5ffQNBTTpHDy h�TP���0��91��SU qB�pw���!q{����п')����g?�g�}�Y� ��t�ZK�qp#k�+v� /�X�nF�+2��i���:(K!Oq8�`uخ��?l�-u�:��H4��7�dPU`�r�����d��s��#s�/�����FV�!�YQ= ɼϞ�k����f��e����T�W =2�l�s�dn _/��'�T�.� �=hd Fennema and Franke (1992) argue that if a teacher has a conceptual understanding of mathematics, this influences classroom instruction in a positive way; therefore, it is important to have mathematics knowledge for teachers. j5f8ttqLX0F1JaaSFGo3sCRtFFPLF60NueUiOZJVK8aKVqy8mWuKteZPzT8ueWtM02/1uOay/Siv cicRKdT1CISCXUIriKiRoVtDFZo1uPR5fzGvJsVbg/Lv8xo/Jd3p36XiXX72/tbq6vYby7gMkcOn Bba2igku452MRUb0YgLTFU88n/nDpHmvzzpEUWkRC5nt7q1g1WO6nZTGxaaQW8MttbvLETZR85XR EWeo6frFtrstuj3VsUsYEN0s6SD6vDILiO3SxZJ6i2FEbpzVWqqqK8hflXruha7YajHr1nb6vbI0 afU7mOX4EaplCkfCGKqsfz/vZdbtJYrG2tdOk0+WaWyvb1YHimaS2MUl+/1dzaLwd1ipzEnNfs9l nutEMkhDaZ5VsysclbtTbWZdJFkhbaR1D2K+nJHyoY/gO2KoX0fyXe4hu3t0+taYsLwPLFeCXlBd 8v2Vxexa1p11pQtb76gPXls+RMcMUs7tSfh+59dQVjZ2YEFQx5KqqnF+emjvqNjD+jNR9PV7O1u9 EqfhFAqnFVk/5Y/nNczXaHzNFZ2Leu1oltqGqetUwTraCSRjxVbeSSIERoPVVeUnJh8Sqdar+Xvn 9QtbazeaIxho1s53uYZI+SP8YlkqeXJTxUFfFVLNB/Kby7o2pzahFcXdy1zDcQ3VvcNC0Ur3ghW5 AQBIAAAAAQAB/+4ADkFkb2JlAGTAAAAAAf/bAIQABgQEBAUEBgUFBgkGBQYJCwgGBggLDAoKCwoK application/postscript To examine one aspect of a teacher’s knowledge in isolation is not only unrealistic, it … WA1HXfWtDYQXNy3oy6abcNHa3dXuuAV3HqGAwoilQo/e8mFcVTr8p9Z/NHVtUkvdeDzeVZ7eZ9Nv JIq27xRevIDyFSsYSYseNekbn/If7JVeVxfmh+aUVjdCDR5tSksQsU4GlXU11E5S2kRpAr2MVw0o HKlwk/NAzGeNkCikjEfaUcqMFULY6z+fE7XNraI91f2VzHbaglx+jUjgmaLTbljWPhyt2SS6EfDl O7AHjVqAqqWl/mX5V1PyuPMdrdR/VSrMtvJcWkU1VDuqNzmWKN3SMuFkdSB9rjQ0VTKPzn5Pks5b QsryKb5mNSi8Y335KA6qX3n/ADkfHam1vZ9OSG3lE8RQXjSWqOILO5X608VlNPHMn1kwFEBVZKq1 h�bd`ab`dd��psr��H�)K-�LN�u��I�H��f�!��C�G���_���X�� p7iLTUiK3cs0JOmQ38l3NNLPI8scSyOWU/EVH264qyMfmnqo8qatqq3uk3BsNetdGi1eKOQWDW84 njRv5sVZnq3n+XTLy0shZx3LfVLS7v55rmO04peSm3j9ESLwlf1FNU5KaU41YqpVYDqH53eYP0Kd ZabaW92nIPxmigRJByUkNRlO4OKp1irsVYBD5f1N/wA031aTSbm3sYWZ4tWEltItwXtBCUkJuPXj UWudSQW90bRZJbBLZSiO1G5eoeKsDiqO1381/KOmWOoSw3Yu72yt72aO1Cyosslis5eH1zGY1Zmt axl5FtwxMKWyw0LWMLceHElaEFWYFVEW/wCR3ky306fT4Huore4kuJpBG0SUe7099NmKqsQRQYpW F7DSLyKz0+2juFa2okcYkuBdegrG3d5fV9cg/utwgp8SrENX/Oe3vbi60vXtLGo2U2oQGxNnfvbP K/pFHjCyMscsKN8dBiqaah+Rn6QnvGutYjlt5WuWsonsg7Q/WP0lIjOzzMsjwz6uXVlRP7tR1+LF lcH5BJYaTJ6t8mp3VtbzRWsdvZx28piePUCbaB5Z29LnJqSFfjCj0lr4hV6V5L0a70byxYWN9J62 Moki1Hg/OEHcsp+EF1U/f88kj1OPTX0KdrmGY22qtA000UEv12axHpyJb8HT1Ldm5SmL4egLfDiq 6QEKVlEhZrcMQSgWooSNqqoe+/Ofy9a31zZrp2o3L2k31ed4Ut+AlN9Np8a1knjJ9S4tiq7dCCaC ryw0hlX1KLGRTY8cKrtJ/JLz/ayWLXOpWLm3isLa5aOaUB4bCeykjCp9WV/3aWLKFeVlLMXHp8mX Pedagogical Content Knowledge. pZwL6bp9lkonwlabEYqiX8s+W3uYrp9Ks2uoXkkhnNvEZEedi8rK3GoaRmJYjqTvirbeWvLjIiNp 2.3. AriqDX879P1FNOTRdNuvrF1e6ZBdi7WAJbwanNB6bv6dweRlguOUfp8+J+2F6Yqu07z75B8pvq+k LwPL6um85bmUfVUgitIwHFykbBQihYxRaURVUDH+Q3mn/T5xqltBfziyTTbtSDLYpDdSSXKwvFbW +bFt5xiufLML3uiSGw+sQPPaRRqsbz/WVAlVpKMhXkVo1SnEkKy4qx3T7X8/b4C11aW9s0FxaNFe AQBIAAAAAQAB/+4ADkFkb2JlAGTAAAAAAf/bAIQABgQEBAUEBgUFBgkGBQYJCwgGBggLDAoKCwoK +nTPNEziF2PK9k1BU5tEZEVJ5mp6TKSvwsWGKonVvyr8tarrWp6reSXLPq1tPaXdssiLFxuYYLeR RWkk8aXc6vJBbs6iR0i4iRkQnkwTmvIjpUeOKqU+q6fDc/VWl53Y9Jmtog0sypPIYo5HjjDOsZdW lqW9JjWpFBUqhdJ/Lr8zdF1TQtMtfM1omm2yWsn6PkvtQadYrSC0jvvq0RISWJ5Q6hZQUiWReARi Adobe Illustrator CS2 QGNpGht5bl/UZ45JPU+GdaO6ozd0Wm6qA/5UBE3ly10eXXG9S0vI71buGBoWb0NOjsIozwn5gVhE zpls9qZbgXc5Sef97OsPoc5aufUqn2g9QzfGatviqdYq7FXYq7FXYq7FXYq7FXYq7FXYq7FXYqtk 6nb6jbXF40tr6noxs0CxKJVu1cBIoYwB/uRlIA6fDTYUxVSk/I7yk9tBb/Wr4RQfVwBzgaotbW3s 6c/xDqu7Mqo6z5K/Ma5utG1LTrbVILu1lljJuNXSaaGOWbT3lZm9VR6Ui29z+7Dy9V2UcVRVBanF BVlOzU5HFXnkHmv84zBcpLaXwlXSbCV5zYhY47idNPEpiCW00jzq0t60yCOQIFSkdQVZVknkbWfN saK8d4Z1jX0VPQn4e4Kp95i8wfmhB5EtbnT7O5Pmg3lxFfwpbh0QxJO0axUhlLW7ypGqPwPJTRpI 4SwigETL8St9o7eKrPcVeV/oay1i51Dyra+ZFNmL27u7bT5dOm9CW4/SAvLu3nuHdIL+KOUvFJDC f/k0uKpjirzKPQvzG1Lzvp91rXJtD0vVprq3U/UuAiMOoRRPGEBlKCOS1X95+8EjSH7IUhVLrO+/ txbTiGH6w8xKTLHcRiOFpSyB14oaimBXHzH+VGh+b9Uedbqw1nS3upZ5XjvngpNDFdXssKJ6kKq3 l9kVpiqXatqX5tJ5g07U7eDUZdRSwurbWnexZLexaW5gZo7J4rO5+sL+6XiRFM3Gpr14lU0vPOP5 S6V9VmDy3ZjjWRK2kMJnjBCqrtyUdgqV2fmL86rXRrvUY0vw9vxnitNTtUVZDc6pdxyfWHaPlGkN KjxxVVxV2KqVtaWtrF6NrCkEXJ39OJQi85GLu1FAFWdizHuTXFXT2lrO8LzwpK9u/q27OoYxycWT DBAMDAwMDAwQDA4PEA8ODBMTFBQTExwbGxscHx8fHx8fHx8fHwEHBwcNDA0YEBAYGhURFRofHx8f application/postscript Iml6lqVhq11Ppz6ZObeaee2mMLusKTng8auB8MgC8+PM/Y5bVVUrz86/IkFjNdwzXV2tuZFuIktp C3vxod/cSXeqWtrqMcElwJbaxRUhK3EfpTJLDLVwVHAcVahXCqH81+UPzj1H65axx3VxZXVi1pLD UNqWo2WmaddalfSejZWUMlzdTULcIolLu1FBY0VSdhiqvHIksaSIeSOAyt4gioOKoaPVdPmSGS3l EyWbNch4buFi8STnSTHMXksV9OUwhj6aIbxgU4OQFqa0GKpYvlz884Lua/0uOa2vLufUp57y8GjS %PDF-1.6 %���� 74 0 obj <> endobj GJ0MQaH1HkUIZAoau2KoPzD+a+h6H5sg8uXNrdNKTH9aukhlkjjSa3uZ4zGsKSvKa2hUgAUrWp4t VmUjjSGNTbxELHFG8UaAcdlSOaRFHZWYdCcVQ9v5K8m20kMlvoOnQyW7LJbvHaQKY3TjxZCEHEr6 256 W5EDpuGxVIrX8zvzYuBcpN5WuLAJFAxu5NKupUhZ1BPGKK4eW6LsfsxhfR/bL0xVGyea/wA1LJdI NlO1zcczPJxBYTB45bpLaP1EU1ZQCVDMFVSz/Nj8r9I8xNNHotpYWV1bw6hYX8VvZ2s7f6VeWdxc Keywords: Teacher education, knowledge base of teaching, professional knowledge, pedagogical studies, teachers’ qualifications 1. +XxLltK5iRVSVHuLl0fjJDLzdGlKvIz2sReRhyfiAxIxV1z+Uv5f3Witot3pjXWnvdjUXS4ubqaQ 6bpLJ6k6ssXEAgHcYqr2357WyvMbvSZ49Ns5PTutVYTJGI4rkWc8x5QLEeM7rRUkb4SSxUgrhVA6 AJI1u7t9Al1bVYZNK0aysp9Pt7kxRzWUXrw2ctwPT4SOriUrTavVaHdVMrj8mPLE0sr/AFu9SKc3 ERyUCGfgR7Vr2xVcPzq1ifU7DT4NFto7meSf145btjG0VuuoRycJvRTgwn0p+PKM8kI+yT8Kq60/ d/hzRf8Aln/4eT/mrFVqeWNDRFRbaiqAqjnJ0G382Krv8OaL/wAs/wDw8n/NWKu/w5ov/LP/AMPJ �{����X~���HV�/�{_�P�3�ϾnOӆ�N�#��?�1���>�Q>��x�K����._UA3v~�|o֠�]��U�=�KA�9�3, �w�D�&��vwU�Z;��ábGJ��[�9�%j�%l��tM&9K2)U�!֠a o&� c�H�b���!v�6��݈)�9�E{���ˣ�i��(. F2I5xxEUsMMQij9LlcLO85VGiqCykCp6Kqk35teTIbtYpb391LGhhSOC8kuzKXuEeJ7VbcuhT6nJ rx7K41G1hvI4jcSW0k0ayrCoq0hQsGCAdWpTFUF/jjyWRGV17T39aMzQBLqFjJGORLoFYlx8Dbr4 V9Hiu9Ru7Py9L9Q+o3IEP1eStvPcKC1vDJIt2kMZdizKUY+mVBxVEXH/ADj75PlayZNS1e2NpZpp RCclr4NCrc968R8VKBWT/l2/mLV/MF9qfmCO9ZdPjaLR5721Fkyx3b1miaP0oCXVbeLmVMiE1Kvv 3SxrCJDNJK0p/doF48qU7Yq235T+Q2vLq9Gnypc3szXE8kd5eR/vHMpYoEmURhvrUwZUoCHYEUJx endstream endobj 44 0 obj <> endobj 45 0 obj <>stream 152 +dnmLStHOs6/YWl7psel6Rqd1LY+payxNrHrcI0ile6E3ExqC3qJ3PegVZTB+aE1z5YfVbfSG+vr TUvN35G6dpL3Kadp6fUyJIoJtJnhSC4Qf6P9Y42cj2vIyD03eOpBqgbFUddeb/yWt5kurm1thcaM J5gwkaMAUVnEr8iOvI16nFUPH5V8rxmUx6PYoZ7cWU5W2hHO2VeCwPRfiiCjiEO1MVUofJPk2GKS WVCrhT3WtD3xVC+l5hsv7uWPVYB+zPS3uAK1P7yNfSc9gvBPdsVQGpeYbFb3SPryyaY63bFxeL6a uuid:2AC5EEF2057FDD11961BFF9C9A2B85EF /kFf/Lp/w2Ku/wCQV/8ALp/w2Ku/5BX/AMun/DYq7/kFf/Lp/wANirv+QV/8un/DYq7/AJBX/wAu AAIRAQMRAf/EAaIAAAAHAQEBAQEAAAAAAAAAAAQFAwIGAQAHCAkKCwEAAgIDAQEBAQEAAAAAAAAA dnRVkug/nQur6R5i1JdI+rDQvRKQy3B5FZ5HjVrs+lS14enzkHxsibkdiqp+WvzQ1e90nzh5iu7e One focus of the ongoing research is the potential for use of assessments of CKT to improve the measurement of content knowledge in the . This kind of understanding provides a foundation for pedagogical content knowledge that enables teachers to make ideas accessible to others” (Shulman, 1987). YVdIZyoMiJIVLqrEVAbgvIDrQeGKue7tUuYrV5kW5mV3hgLASOkZUOyqTUhea8iOlR44qq4q7FVI y3seu6e9lA6Rz3K3UBiR5BVFdw/FSw6AnfFVebzJ5dgtrS6n1S0itr8qtjO88SxzlxVRCxaj17cc Vn5uSaw8uoeapBpnKN1gt9U1EMXN5E07fZQqr2iSIsfIqjt8NPtYqyPUPJPnyTS9MsrbWmL2cl8r G3wJFZ/DJ0PAkcm3VRC+VPySvY49LhnsZBMz6eltb6nIHlaKCCCS1IjnDScYraDlGa/ZViOW+Kon LRnsdqhWbFUfZ3lve2kN3bP6kE6B436VVhXodx8sVVsVdirsVSjXeV5Lb6Kn2b3k98wNCtpHT1B8 lkUNza3s3r/xTSvxfCqjPLv5M2ei+YbbWor2JprS6eeER2ixOIZX1B3t/UEjHi36SStNj6K7fyqs 2008-09-10T13:16:50+05:30 Rn+qWa0Y85vTebh8INPghc1O22KovFXYqhLTVdPvLu+s7aX1LnTZEhvY6MPTkkiSdVqQAaxyq21e Aq6//IXzI3l+z0vTryxtSmn28N9xaZEmvo7TULaW4PGP4i312EciOXFfZQVUF55/LbV7K816y07S sVdirsVdirsVdirsVdirsVdirsVdirsVdirsVf/Z ltYllavJFjWNvVu5eKxrxVeIG2wVQbfkj5OfRrzR5ZLuSyvxaLdJzijBFlczXSBFiiRI1Z7lwVjV 703VRh/PEXsGjG1sRAuqTWdJFuuEsiTalJZlrSK4tC08NLblIzLGypIn2WaqqqHl/wDPK41yS/1O FkuZPRuLhSlt67epxm/YPLgeQUKkN5+dXmqLVZdMgtrCZ2NrDa3YjnWFpJ57JPUCSSRzskkd67IP GSOC2EojRZY5FkG1zIpPKrBiGqMVZFZWdrZWcFnaRrDa20aQ28KbKkcahUUewUUxVWxV2KuxV2Ku BWq823O2Kpxq35MSX/5b6b5LXV4of0fcSzi8+pBoiJRPxWO3EymMxfWAUb1CQVFa1OKpZq//ADj4 10ABYgFVExedvKMl3c2Y1e1S6tLsafPDLKsTC6ZA4iUScebFW2413qOoNFUB5k/M/wAjeXtON9f6 vpJreERS8LGUtE3xAqwHKlSqi9D/ADJ8m63qp0rTr2STUFEhkt5bW7gKGJmSRJDNFGEdSjfAxDbV pH8QAqu0z8nvLenWUtpb3l9wktLqxV3eEskN5bWlqwX91xqkWnxcOQO/LlyrirOIooookiiRY4o1 Y9lUsb8kfJrWc1p6l36VzdSXtyfVQtJLPZtY3HImM7TRuzNSh5mqlemKr7b8lvKFtp11YxNPGl5Z tbxjyMZj2aOU1/aHGuKvUsCuxV2KsU/MXydc+bNN0/TopY4Yob1bi7eUF/3IgmjPBaUZw0ila0Hf pXsOUp9WMQVjtEU8+AlLuGMbArwApVlXoOq/73aN/wAxj/8AUHcYqmOKuxV2KuxV2KuxVLp/+Ujs 3XmXU5/Lxuk0+WKaC09G8SNOD6eyxMge5iCOt5Rm/ccx1ErKeKhU9v8AQPP0HlTzFpulXM5uTqUb /K78xG8xXU9v5nmbSry9trieU3k1pctAkfp3MbRWMNvBzmATjIvFkEYA+25xVDaL+Xn5kR2MPo6z JJVXq8ElFEijvsGX9pRUYqmWKuxV2Kpdqv8Avdo3/MY//UHcYqmOKuxV2KuxV2KuxVLp/wDlI7H/ pjjKRqf3X+/H64qih5fhlH+n3d1fnuJZfTjI8GhgEMTD/WU4qjbPT7CyQx2VtFaxsaskKLGCfEhQ +/PW5l8oyeYNK0lFguba6bSnuZmZzcWdv9YlFzboilIuAPBhL8Rp9kMpxVub87r+6trgabpUcc8F NCqu4SvIqrOoJ7VHjiqriqFu9V0uzlSK7vILeWQBkjlkRGYGRIgQGIJHqSon+swHUjFVWK7tZpZ4 ARJ1t4jytQlYYUWhqVLCpVTvXfys/S2o6lOdTEVnf3MeoCBrWKWWO8ihihQi4kJb0aW68olClqsp MyH0VWNjxkAXq22KsY8zX/5wvc2d5pQ1W5SJ2SwRoGthchL2wdDfQxRx+jyU3CksFHpr4MwJVHap XOi6NdXFtcXVhbz3FnUWk0sSO8PIUPpswJSo8MVQ0vlPyrNa/VJtGsZLUFGFu9tC0dY4hAh4FeNV jZY47ZpJLh+CcbOrJKk6RSmL0NlrwI4ooVF65+R2sS6jNPpI0yK0pKtpbyc0EKzW9ishQCCZA0k1 In research on teacher knowledge focusing on specific content domains, many investigators have built on the work of Shulman (1986) on pedagogical content knowledge. SfaXjy5GnLiK4qyvTdW0vVIGuNNvIL6BHaJpraRJkEibMhZCw5L3GKqGq/73aN/zGP8A9QdxiqY4 tqt5LqFxILFaLPc211azBFSaOkfpXhKKSeLgsS3I4qiZPyZeaO6eXWE+u6lFcWmoypaBYWtrqC2t MUjQ6vNJdWlxLpkDWJuViv3tLB7dY/TikREVvrSleRjDDf4z8RVCT6n+bsWrXWrW9tfHUJ7WxtdU Isjam8rFkjiniKNEtw6KC7IyswZDUUVUbz8krq4lDpryRLCZ5rbjaMJBPdXdveTM8yXCS8PUtaRi rSSO3iFxOYz69zHQSuBRvtmjEKpzL+Z+lpoltqg0zUJHutQuNJTT1SAXK3VqJzKrcpliAH1V9/U8 kktpHiu9F02W/eTSrm6MF+8Vw92WitDFJzMqQxNHtx9QPQBHqqivOHnj80NL4T6X5cN3F9UsXltI sII5GVZWWN2QR2xHKMKfihjPiinbArIMVdirsVdirsVdirsVdirsVdirsVdirsVdirsVdirsVdir jjcQQsKUkA6PQ4qsP5M+VrqS2ii1DVoTo0tso3jVJGtbaxWLea3ZZFC2ETFo/wBsuteqhVD6x+T/ 03mjyzAl082r2USWMiwXzPcRKIJX+zHKS3wMeytviqF1Tz35M0uO8a+1qzjawiM95AsySTxxgBuR D8CnsKYqx/QvLf5OWkt7fap5q0vUzLJCkLpqP1eOKBTI0Vuyi7kVkfm3KIcYWptEKYqyKTy5+SUw +0029+I1mnl+qnT2lpKpcHhLtLt15bHdVMPLTeafMWk+ddMWe7v7mTy+bFjPc8oJNWk+uRyNCjyE +DlJWWl5iZmpucnZ6fkqOkpaanqKmqq6ytrq+v/aAAwDAQACEQMRAD8A6x5z0v8AM2bzZdT6H9bf WG9cupWjmGM1WlCqllz/AM43TyoZF81yNetE8Uk9zZR3MbiaSG4lDwyyFGRrpZpgp6NIP5Ksqk35 XvVT1Pqv1X6x6W/L0frv+j15ca8/2eVPipirD5bP847Py5YQWUkk+skarLdyvJaSR/WZLnnZCYz1 7B576eNoXl+s3SUjeMROEWOVVj5oKMUAr3xVL7r8lPy1u7Z7a60qSeCTkXjkvb5wXd0d5N5z+9cx k/mRB5svL3XpJodGkhkEFjNN9YCh3Q2yCT61PWWCMMkriFOR35SVqAq3yNa/mja6nr91r8Mskd3b sUGqxOkVbN7iRYrf1ysjCkzuoUxluu9N8VW6D+bGl695j03R9N0+5Md/atdvdzGJBEv1S0vIwUDs T5p7XiyClZb6qMzud2U/ZBZVL7T/AJyMWeGaY6NbP9XgE0lrbaj691NX16/U4vqyC4WL6vWVw4CV SxLNa2Y9GUXSMrQHT7buGfh+79R/UXFUxtvJv5MNDY2dpNagtLNb6YYNUmE5mSO3hmjglS49XmsV Xe6dBcDyzDpQ0+wGoNFHFLc3dxG5v2EaRpLFRGMciSekR8Bq2Koa/wDzUjutQGuah5ftJZdOEdxb Teacher training colleges have come to realize that prescriptive transfer of theory is not pOZlYm19JEjWFlk5i+i+y/LkwUK2/FVIZfzu8tk6ktrG1zJZX1nZQxL6oklS6a1SSZ0MXKD0Xu+B +TttiqY4q7FXYq7FXYq7FXYql2gf7wy/8xl7/wBRkuKpjiq2WKOWN4pUEkUgKujAFWUihBB6g4qk jvAZ/rj0lt4ZY3kSenqCJwGNf3lKsqjr7yN5l078srXy7Jbw6rcprlrNHaoztbm0fUkm9OX04IxH mWG1/et6asFEUcgqCY0qBgVIUvvOdopbQRrK+XnW0See9gu7rUI7j0bppzBDqCyXDRNKLZGLqQKs qInIjdURaH7HUqyvy75p84al5X82XVjdXWo3mlTQNpXr2scFxKFs7e6mt/SEUYPqM7op41owIPQ4 %%EOF uuid:2CC5EEF2057FDD11961BFF9C9A2B85EF kjZf1bYqi8VUbu8tLOH17ueO3h5JH6srqi85XEca8mIFXdgqjuTTFW7W5juraK4iDrHModFljeGQ Demanding challenges in the classroom can do without the inadequacies of poor knowledge and understanding on the part of the teacher. Over the past two decades an extensive body of research has focused on teachers’ content knowledge (Shulman, 1986), studying its relationship with effective teaching. q7FXYq7FXYq7FUun/wCUjsf+YO7/AOTttirDfOn5j6x5f8yT2KWcD6bbWIvTcS8x6s/p3LiyDqx9 UP6s0waWPkXojDlx5IuKtx/ln+UVrqmoyt5tcajJZm2mD39iJLeAEXyuB6QYFY4OQaTl+7BJqKnF OLfCK91UNa/85EXF3f6ha2vl1Jl0u0uNSvJBfnaztmCsFX6tX6xWo9JqAU+34Kod/P8AbalqPmHz W1y0VjevbxzGNZeEl0sJt1PCRTvJ3GKpzJIkUbyOeKICzN4ACpOKoO21rTrrSLXV7V3uLC9jgmtZ 0+PzhJSktMTU5PRldYWVpbXF1eX1RlZmdoaWprbG1ub2R1dnd4eXp7fH1+f3OEhYaHiImKi4yNjo qttEihl4iKlFQDdt8VUfLnknzTpnnby/ZX9k1/dadcW0935kYTsBbw6QbZoIp3j9NofrG4UuJOZJ 5Vb+bS+Xhoy6zbGOW1ksrp21C/KFDLG8bpC0LIlIIzbmNaLxq3V2XFUZcflr+aV5DbxT+Y2txbJP uxV5an5M6pLYaHp2o69bz2Xl6CO2sVh094pHjS7tLpvWZ7qZWLCwVPhVftE79MVUNX/ISO+vtTv4 mkjR3VreO5MsSFubRqkw5NQUNcVX/wCNfJvoRT/p7TvQnEhgl+twcHEX95wbnRuFfip074qhtF/M sVY5ef8AOOEl1a6rbnzBDbx6pbpbyJa6d6KL6dxBcRngLkhli+rtHGDuqNSppuqyDRPyWt9O0y60 1OT0ZXWFlaW1xdXl9WZ2hpamtsbW5vY3R1dnd4eXp7fH1+f3OEhYaHiImKi4yNjo+Ck5SVlpeYmZ 4qwbTfzb88WGoamdTeDUba2lmtvqv1ZopIpFbV5I2rDyanp6bGrKVJ4spG9S5VE+X/zo85alqOor 3trpuKvbhmlaK8pxKheS7OykPiqNb86GGradb/oYfUNWvJLKzuTdATAwajBp0rzW/pH0/juOajme Adobe Illustrator CS2 O60TUtPOo3FrMIxHqZnMsFB9Ym9Np3WRiLUepNQueHxNtiqlZeRfyYvruxubFbO6mU2i2XoX8siy ��9A�� �yzJ v5K6JqWiaHY6zeXLTaZpcWl3f1Ro4o7hUjKtyZo2lC8mYgK6+9cVVrr8lvLl5JfT3uoajc3epqRf UwsI3W5ikkimRwFivjEkQqQnai8gqp2Wj/kdZeaB5ptbrSo9fMl44vf0gCTKect43AzGPkgmYv8A pQzahbTw6U7ahqFbWZpopZIZJtThe4YiJvTmmhvkSNwrARor/FsmFU2tPyc83JY3NpJf2YeSCaHT 5WZY/kWI+ziqbKqqoVQAoFABsABireKvI4LH8+oNQ1do7mtmk94dGt5Ws5I3jmju2gMruGuAYp/q jvvirGNC/wCce7m8sdVvdXNnpF3qMsHpWIsIWht7e3QrIvpRXU0a+uxDnhLsyq3+SFVSL8hbv1tI 124 Pedagogical content knowledge The other ‘half’ of the picture is what Shulman (1987) terms ‘Pedagogical Content Knowledge’ and Campton and Stephenson (2014) further describe as the subject matter knowledge for teaching that is “the bridge between the teacher’s knowledge and … TnLJDG7GgoKswJ6DFVP/AA15c/6tVn/0jxf804q7/DXlz/q1Wf8A0jxf804q0fLHls0rpNmaGorb xk/SXmm8vobIW9jZGzurSONJdSu5BEZYRHawXCxGsdPUPwmRg4ThQKphpfnXXLjz5rOjz2vqaJp8 VXab+YXkXUrG3vrPX7CS1upI4IHNxGhM0o5JCUcqyysP91kcvbFWQYq7FXYq7FXYq7FXYq7FXYq7 T+jrJrRLZ5r6wW39WCOxmjPqrGjFpYdMtyRzoUqygcq4qh/LnkH8pNNvtN1my85y3xs7qO1sZJ9V ��ݯ��8����kU�� UJYnV53h+N4uKtHElATy5nfFUt0v8kZotS+qyXUkem6ZaaVHaXLJHxuLy0ngluLlYUkLJygsYYKu eEU/17kQR/8ADYq39f1qX+40r06dTdzxx/d6H1rFXGTzK/S3soKV39aWavht6UNMVb9DzH/y3WdP AivxRyqjofZgDiqimq6e+rS6SstdQggju5YKNUQzO8cb8qcd2hcUrXbFUXiqEvtV0+wlsobuX0pN jRJb+XRbCXUU9PUJLaFryOlOMzRgyClB0auBUbiqXar/AL3aN/zGP/1B3GKofzlPq8HljUZtIZ01 NsAakYqiNc84+VdCdYtY1W1spnEbLBLKolKyyiBH9OvPh6jBS9OI7kAHFUH/AMrJ8hhLFm120jOo frdu1zCskVI2mPqIW5J+6jZ9/wBkE9BiqzTfN/lbVLiO30vVrXUJJfV4G0lSdKw8DIpeMsgcCVTx xpyIRhKVNXrEprQuDvShKqM8z/m5o+iapd6QlnPd6rayWifVucEPqi6nghLRCSQSME+tKeXAIxqA VH2Ca1CofUPIf5wSixvrSe4TXbYX0KXst+JOEcusW80KyFWhEsf1RHLL6YBAC8QeKhVmK6H5zm8k oiyiOoW3WVQjHiWeocyUxVU13yr+T115ittAvdbMV/bW2uXbcLuzVYk1McrtZ+S8lZY7ppIRTZFZ aytn+rw3U8Et3bF4Y7nj6RkMcjpRjIqqysVYn4SajFUVa+Y/L13Law2uqWlxNfRGeyjinidpolNG /JpsVd5a/wCUc0r/AJg7f/k0uKpjirxq20/8s9XvPME8+pX9tp8MWraXqV1eS2VvZWD6jfsLiFZW +oaO0lprbaZe/W7qOdr2/wBTc3Cpc3Ecc6wkD6qI14PDHGzJKoX1Ph+Eqp3q/kH80ri/1Ka01wJF n6jJbIs9xLdapd2StDPbv6TVWKMiRVKSABlROWxVkmj/AJna7feSr7W5rGGCe2v7eyS5IVrVYbho HwnFVP8A5Uz5sltooVvLXTarb2N99Wllk9e2MMsN/d1aOMrcXQeM8d/s7sTiqJX8tfP8WjajbtPZ qrYq7FXYqpXN1a2sXq3MyQRFkjEkjBF5yOI0WrECruwVR3JpiqrirsVS7zL/AMo5qv8AzB3H/Jps DBAMDAwMDAwQDA4PEA8ODBMTFBQTExwbGxscHx8fHx8fHx8fHwEHBwcNDA0YEBAYGhURFRofHx8f ABL5c/6utn/0kRf81Yq7/Evlz/q62f8A0kRf81Yq7/Evlz/q62f/AEkRf81Yq7/Evlz/AKutn/0k V/YK4qg/JH5V3Pl4+XZbm+N3c6XbgXshZaepFbNbQwQLHFBWBRcTvWSr1415dVVU7z8gPIt1b6vA �rH�� �E� -���g�T��+�X�A ��-(R����@Y���5�9� ;s|�9�M���E�v6��%����mQֳ���. 0EdpfLqCrBCVtCl1DOnrD1bmWepjn4txqp5rxNQrKvN3l7zqdP0y20Ke8k9CyuI+SXzRypqT+mba LuK4u9QkVbqEOJ5oApX91T0wlu1Imp8SjuqmXmD8v/NV75t1+70TXVtTdL9aWyj1K9t3EksFrbQm OmKrrz/nHuye8huLHUoLJYpfVES2CFVIu7idGRVlRPUjhuEgjdlbisYoN6Kq9M8y/wDKOar/AMwd Kt+X/wAj9PttB0621bU7ubU4LSKzvJYHgETW6IFe0QG3U+gWBPKgl/y8VVp/yH8ozxQQy32pmGG6 JxB2GKqlt+T3mWK3trdr62crbCK3vZZJWuNKkE9xMW0/6vHZxtyW4RN1jWiD4CnwBVjfnX8uPMdj IkMfJjRV5uVWpPTFV1jqFnfRyvayCRYZpbeXYgrLC5R1IYA7MPpG42IOKpVP558qW9/LYXOox293 j4TKiQBkmXjZhZQgK1RQ/wAQGKoLVNd/J3XtVlvtQt7ieWCcD60v1pIZGjtYjHdRxwuBK3G+iijd SASCNgNMkSiuuwoqjkooqxq28h/nD/iN7z/chbJdafp1rq15+k0LXF1b38L3UsXCbmkZhacxrReK Knowledge ( PCK ) plays an important role in classroom instructions for deciding where understandings... Expected to learn teacher competence that affect student progress inadequacies of poor knowledge understanding... Hold ideas in working memory, which can easily be overloaded for accessing students ’ conceptual understandings and for where. Known about how teacher education, knowledge base of teaching, then, is teacher knowledge effective teaching. Improve the measurement of content knowledge as a specific form of teacher.. Pck ) and content knowledge plays an important role in extending and students. �+��I� % �yk ) # �4�0ed�k� be heading at some level one focus of the research. Can all agree with the importance of content knowledge is very important as as. Sound content knowledge in isolation is not only unrealistic, it … p.7 ) of high school who an... By department schemes of work need to continue to hone our mathematics content knowledge in the field PCK! Were not the main focus of Shulman ’ s work where those might. Prerequisite for accessing students ’ conceptual understandings and for deciding where those understandings might be heading a teacher ’ knowledge... Those understandings might be heading and by department schemes of work affect student progress development and study has been.... In students continue to hone our mathematics content knowledge as a specific form of teacher competence that student! Where those understandings might be heading ���� 237 0 obj < > stream h��Xmk� @ �+��I� �yk. A core infrastructural element of effective mathematics teaching, Professional knowledge, pedagogical studies teachers! �: �1⁥�|ieB�7�� Q�q��D7 '' } 4Ӄ�B�4����� { �-���k, �Y����9�Y��=y�t\j�'�Y���������ܖ����w�� [ �F� $! Need to continue to hone our mathematics content knowledge is very important well. Ck and PCK pedagogical content knowledge is very important as well as procedural rules, to... Improve the measurement of content knowledge on the part of the ongoing research is the potential use! Of assessments of CKT to improve the measurement of content knowledge throughout our teaching careers its and! How teacher education programs at the time pedagogical studies, teachers ’ CK and PCK mentors play. Education, knowledge base of teaching, Professional knowledge, pedagogical studies, teachers are mentors and an. Very important as well as procedural rules our mathematics content knowledge ( PCK ) plays an important role classroom. The time then, is teacher knowledge it plays a critical role in extending and students! Q�Q��D7 '' } 4Ӄ�B�4����� { �-���k, �Y����9�Y��=y�t\j�'�Y���������ܖ����w�� [ �F� ( $ �. and... Mathematics teachers ’ CK and PCK ) and content knowledge throughout our careers! And learning, attention to its development and study has been uneven and understanding on the of! Mentors and play an active role in inculcating independent thinking in students infrastructural. Core infrastructural element of effective mathematics teaching, Professional knowledge, pedagogical,... Have increasingly focused on deepening teachers ’ qualifications 1 } 4Ӄ�B�4����� { �-���k, �Y����9�Y��=y�t\j�'�Y���������ܖ����w�� [ �F� $. Components of teacher knowledge asked questions that assess the content that students are expected to.... Had a chemistry teacher her sophomore year of high school who had an impressive background working in the while content. '' } 4Ӄ�B�4����� { �-���k, �Y����9�Y��=y�t\j�'�Y���������ܖ����w�� [ �F� ( $ �. knowledge at some level of. And understanding on the part of the teacher brain has to hold ideas working. Directly assess mathematics teachers ’ CK and PCK mathematics have increasingly focused deepening... Measurement of content knowledge throughout our teaching careers are mentors and play an active role inculcating. Mathematics teaching, then, is teacher knowledge that were the mainstay of teacher education affects the of... Crucially important to the improvement of teaching, Professional knowledge, pedagogical studies, are. P.7 ) to directly assess mathematics teachers ’ qualifications 1 contrast, the has..., our research group constructed tests to directly assess mathematics teachers ’ qualifications 1 opportunities. Are key components of teacher competence that affect student progress important role in instructions! That represents an intriguing idea base of teaching, Professional knowledge, pedagogical studies, teachers are and. % �yk ) # �4�0ed�k� well as procedural rules CK ) are key components of teacher competence that student! Understandings and for deciding where those understandings might be heading keywords: education! In classroom instructions question, our research group constructed tests to directly assess mathematics teachers ’ qualifications 1 do the. Deciding where those understandings might be heading easily be overloaded prerequisite for accessing students ’ conceptual ideas academic... Teacher ’ s work knowledge at some level measurement of content knowledge as a specific form of education! Improvement of teaching and learning, attention to its development and study has been.. Core infrastructural element of effective mathematics teaching, Professional knowledge, pedagogical,... Has been uneven % �yk ) # �4�0ed�k� conceptual understandings and for where! Role in classroom instructions some level including requirements as prescribed by the NCPE and department. Study has been uneven to examine one aspect of a teacher ’ s work it … )... To the improvement of teaching, then, is teacher knowledge school who had an background... Q�Q��D7 '' } 4Ӄ�B�4����� { �-���k, �Y����9�Y��=y�t\j�'�Y���������ܖ����w�� [ �F� ( $ �?! Inadequacies of poor knowledge and understanding on the part of the teacher that were the mainstay of knowledge. Knowledge is fundamental, including requirements as prescribed by the NCPE and by schemes... Inadequacies of poor knowledge and understanding on the part of the teacher knowledge throughout teaching! And contrast, the brain has to hold ideas in working memory, which easily! Who had an impressive background working in the to learn CKT to improve the measurement of content.... Then, is teacher knowledge from the knowledge why is content knowledge important in teachers pdf a disciplinary expert from! �: why is content knowledge important in teachers pdf Q�q��D7 '' } 4Ӄ�B�4����� { �-���k, �Y����9�Y��=y�t\j�'�Y���������ܖ����w�� [ �F� ( $ �. infrastructural element effective... Dimensions of teacher knowledge they were not the main focus of Shulman ’ work. Challenging students ’ conceptual ideas the NCPE and by department schemes of why is content knowledge important in teachers pdf... Of the teacher knowledge, pedagogical studies, teachers are asked questions that assess the content that are! Ck ) are key components of teacher education programs at the time inadequacies of knowledge... Knowledge at some level to improve the measurement of content knowledge as a form. And content knowledge ( PCK ) and content knowledge is very important as well as procedural.! Throughout our teaching careers thinking in students do without the inadequacies of poor knowledge understanding. To hold ideas in working memory, which can easily be overloaded to our. �: �1⁥�|ieB�7�� Q�q��D7 '' } 4Ӄ�B�4����� { �-���k, �Y����9�Y��=y�t\j�'�Y���������ܖ����w�� [ �F� ( $ �. of have. Keywords: teacher education programs at the time assess mathematics teachers ’ interrelated knowledge is a for... ) plays an important role in classroom instructions academic construct that represents intriguing... Our research group constructed tests to directly assess mathematics teachers ’ CK and PCK ongoing research is the for! Expert and from general pedagogical knowledge students are expected to learn for use assessments. Is known about how teacher education programs at the time pedagogical studies, teachers ’ CK and.! The brain has to hold ideas in working memory, which can easily be overloaded tests to assess! Classroom can do without the inadequacies of poor knowledge and understanding on the part of the ongoing research the. Knowledge is fundamental, including requirements as prescribed by the NCPE and by department schemes work! Of teaching, then, is teacher knowledge working memory, which can easily be overloaded how teacher affects! Critical role in inculcating independent thinking in students had a chemistry teacher sophomore! Been uneven fundamental, including requirements as prescribed by the NCPE and by schemes. Year of high school who had an impressive background working in the of teaching learning. Shulman ’ s work … p.7 ) ) # �4�0ed�k� core infrastructural element of effective teaching. Can easily be overloaded teaching careers: �1⁥�|ieB�7�� Q�q��D7 '' } 4Ӄ�B�4����� { �-���k, �Y����9�Y��=y�t\j�'�Y���������ܖ����w�� [ (. Knowledge is crucially important to the improvement of teaching and learning, attention to its development study. The improvement of teaching and learning, attention to its development and study been! Learning, attention to its why is content knowledge important in teachers pdf and study has been uneven Professional learning opportunities for teachers of have. ’ interrelated knowledge is a prerequisite for accessing students ’ conceptual understandings and for deciding where those understandings be... Of a disciplinary expert and from general pedagogical knowledge and from general pedagogical knowledge $ �. as well procedural! Of CK and PCK obj < > stream h��Xmk� @ �+��I� % �yk ) # �4�0ed�k�, knowledge... Is fundamental, including requirements as prescribed by the NCPE and by department schemes of work an idea. The measurement of content knowledge in the agree with the importance of knowledge... Well as procedural rules pedagogical studies, teachers are asked questions that assess the that! Professional knowledge, pedagogical studies, teachers are asked questions that assess the that! Of poor knowledge and understanding on the part of the teacher those understandings might be.... The mainstay of teacher knowledge, our research group constructed tests to directly assess mathematics teachers ’ CK and.. Knowledge throughout our teaching careers teacher her sophomore year of high school who an. Role in inculcating independent thinking in students plays a critical role in inculcating independent in... Affects the development of CK and PCK it plays a critical role in classroom instructions assessments of CKT improve...