Penggunaan Model RASCH untuk Menganalisis Miskonsepsi bagi Topik Nombor Integer Misconception Analysis for Integer Numbers by Using RASCH Model
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Abstract
Diagnostic Test for Operations Subtraction of Negative Integer Number (UDOPNIN) is constructed to identify misconceptions among form one students on subtraction operations involving negative integer numbers. Distractor analysis in Option Probability Curves (OPC) through RASCH model in this study was to identify types of misconceptions among form one students based on students’ ability. The survey research method is used in this study to determine the achievement of the objectives of the study. A sample of 572 Form one students from 11 secondary schools in Penang state involved in this study, consisted of 298 boys and 274 girls. The analysis validity and reliability of UDOPNIN instrument by RASCH model showed standardised residual variance (PCA) is 70.4%, the PTMEA CORR is between 0.12 to 0.68 provide the item can contribute to identify misconceptions of the respondents, 38 items (95%) is fulfil the requirement in MNSQ infit and 35 items (87.5%) is fulfil the requirement in MNSQ outfit, the result of t-test in Differential Item Functioning (DIF) for 40 items is between ?2.0 to +2.0, and the value of Content Validity Index (CVI) for UDOPNIN instrument is 0.80. The OPC of 40 items in UDOPNIN instrument showed among the students’ misconceptions on subtraction operations of negative integer numbers, majority of students who had problems of symbol misconceptions was because of pseudo-conception accommodation. The result of Winsteps version 3.57.2 showed that the item reliability index is 0.99 and the respondent reliability index is 0.90, which showed that the UDOPNIN instrument and the result of study are reliable and valid.
Ujian Diagnostik Operasi Penolakan Nombor Integer Negatif (UDOPNIN) dibina dalam kajian ini untuk mengenal pasti miskonsepsi murid tingkatan satu dalam topik operasi penolakan yang melibatkan nombor integer negatif. Analisis pengganggu (distractor analysis) dalam keluk Option Probability Curves (OPC) melalui model RASCH telah dijalankan dalam kajian ini untuk mengenal pasti jenis miskonsepsi yang dilakukan oleh murid tingkatan satu. Kaedah tinjauan digunakan dalam kajian ini untuk menentukan pencapaian objektif kajian. Seramai 572 orang murid tingkatan satu dari 11 buah sekolah menengah di seluruh negeri Pulau Pinang terlibat dalam kajian ini, antaranya 298 orang adalah murid lelaki dan 274 orang adalah murid perempuan. Analisis model Rasch dalam penentuan kesahan dan kebolehpercayaan instrumen UDOPNIN menunjukkan varians reja terpiawai (PCA) sebanyak 70.4%, nilai PTMEA CORR di antara 0.12 hingga 0.68 dapat menyumbang kepada pengukuran miskonsepsi responden, sebanyak 38 item memenuhi keperluan MNSQ infit dan sebanyak 35 item memenuhi keperluan MNSQ outfit, nilai ujian-t dalam Differential Item Functioning (DIF) bagi 40 item dalam lingkungan antara ?2.0 hingga +2.0, dan nilai Content Validity Index (CVI) dalam kesahan kandungan UDOPNIN bernilai 0.80. Keluk OPC 40 item dalam instrumen UDOPNIN memaparkan, dalam kalangan murid yang menghadapi miskonsepsi dalam operasi penolakan nombor integer negatif, majoriti bermasalah pseudo-konsepsi akomodasi yang menyebabkan miskonsepsi simbol. Hasil analisis perisian Winsteps versi 3.57.2 menunjukkan indeks kebolehpercayaan item bernilai 0.99 dan indeks kebolehpercayaan responden bernilai 0.90, hal ini membuktikan bahawa instrumen UDOPNIN dan dapatan kajian adalah boleh dipercayai dan sah.
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