Pembinaan dan validasi instrumen pengukuran proses Matematik murid menggunakan model Rasch pelbagai faset
<p>Kajian ini bertujuan membina dan menentusahkan instrumen proses matematik murid</p><p>(ProM3). Kajian menggunakan model ADDIE melibatkan fasa analisis, reka bentuk,</p><p>pembangunan, pelaksanaan serta penilaian. Reka bentuk ka...
Saved in:
Main Author: | |
---|---|
Format: | thesis |
Language: | zsm |
Published: |
2022
|
Subjects: | |
Online Access: | https://ir.upsi.edu.my/detailsg.php?det=8720 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
oai:ir.upsi.edu.my:8720 |
---|---|
record_format |
uketd_dc |
institution |
Universiti Pendidikan Sultan Idris |
collection |
UPSI Digital Repository |
language |
zsm |
topic |
LB Theory and practice of education |
spellingShingle |
LB Theory and practice of education Normarina Abd Rahman Pembinaan dan validasi instrumen pengukuran proses Matematik murid menggunakan model Rasch pelbagai faset |
description |
<p>Kajian ini bertujuan membina dan menentusahkan instrumen proses matematik murid</p><p>(ProM3). Kajian menggunakan model ADDIE melibatkan fasa analisis, reka bentuk,</p><p>pembangunan, pelaksanaan serta penilaian. Reka bentuk kajian adalah pembinaan dan</p><p>validasi instrumen melibatkan kaedah tinjauan pada fasa penilaian. Dua instrumen</p><p>dibangunkan iaitu sampel tugasan berbentuk penyelesaian masalah berkaitan topiktopik</p><p>Matematik tingkatan 1 beserta rubrik. Sejumlah 407 murid tingkatan satu</p><p>daripada tiga kategori sekolah berasrama penuh terlibat sebagai sampel kajian.</p><p>Respon murid bagi tugasan diskor oleh tujuh orang pemeriksa berpandukan rubrik</p><p>untuk lima dimensi proses matematik iaitu penyelesaian masalah, penaakulan,</p><p>komunikasi, perwakilan dan perkaitan. Hasil analisis penilaian oleh sembilan orang</p><p>pakar menunjukkan tugasan dan rubrik mempunyai kesahan kandungan yang tinggi,</p><p>dengan nilai CVR dalam julat 0.80 hingga 1.00. Model Rasch pelbagai faset (MFRM)</p><p>digunakan bagi menentukan kesahan rubrik ProM3 daripada aspek kebolehan murid,</p><p>ketegasan pemeriksa (rater) dan kesukaran item. Rubrik menunjukkan kesahan</p><p>konstruk yang baik dengan nilai PTMEA CORR positif (0.32-0.75), dan nilai statistik</p><p>fit dalam julat yang boleh diterima (0.5-1.5). Analisis unidimensionaliti menunjukkan</p><p>instrumen dapat menerangkan 50.40% daripada kemahiran proses matematik yang</p><p>diukur. Skala pemeringkatan juga berfungsi baik dengan saiz selang dalam julat 1.4</p><p>hingga 5.0. Sementara itu ukuran kesukaran item (+1.84--2.33 logit) tertabur sepadan</p><p>dengan kebolehan murid (+4.75--3.58 logit). Rubrik juga menunjukkan nilai</p><p>kebolehpercayaan item (0.99) dan persetujuan yang baik antara pemeriksa (48.7%).</p><p>Peta pemboleh ubah menunjukkan responden terbahagi kepada empat tahap</p><p>kemahiran proses matematik iaitu Cemerlang (2.46%), Baik (41.77%), Sederhana</p><p>(52.58%) dan Lemah (3.19%). Min kemahiran proses matematik murid berada pada</p><p>tahap sederhana (-0.38 logit). Kesimpulannya, instrumen yang dibangunkan</p><p>mempunyai ciri-ciri psikometrik yang baik bagi mengukur proses matematik murid.</p><p>Implikasinya, penggunaan instrumen boleh diperluaskan kepada murid-murid sekolah</p><p>menengah dan boleh dijadikan model bagi mengukur kemahiran yang sama untuk</p><p>topik-topik yang berlainan.</p> |
format |
thesis |
qualification_name |
|
qualification_level |
Doctorate |
author |
Normarina Abd Rahman |
author_facet |
Normarina Abd Rahman |
author_sort |
Normarina Abd Rahman |
title |
Pembinaan dan validasi instrumen pengukuran proses Matematik murid menggunakan model Rasch pelbagai faset |
title_short |
Pembinaan dan validasi instrumen pengukuran proses Matematik murid menggunakan model Rasch pelbagai faset |
title_full |
Pembinaan dan validasi instrumen pengukuran proses Matematik murid menggunakan model Rasch pelbagai faset |
title_fullStr |
Pembinaan dan validasi instrumen pengukuran proses Matematik murid menggunakan model Rasch pelbagai faset |
title_full_unstemmed |
Pembinaan dan validasi instrumen pengukuran proses Matematik murid menggunakan model Rasch pelbagai faset |
title_sort |
pembinaan dan validasi instrumen pengukuran proses matematik murid menggunakan model rasch pelbagai faset |
granting_institution |
Universiti Pendidikan Sultan Idris |
granting_department |
Fakulti Pembangunan Manusia |
publishDate |
2022 |
url |
https://ir.upsi.edu.my/detailsg.php?det=8720 |
_version_ |
1776104559190474752 |
spelling |
oai:ir.upsi.edu.my:87202023-02-22 Pembinaan dan validasi instrumen pengukuran proses Matematik murid menggunakan model Rasch pelbagai faset 2022 Normarina Abd Rahman LB Theory and practice of education <p>Kajian ini bertujuan membina dan menentusahkan instrumen proses matematik murid</p><p>(ProM3). Kajian menggunakan model ADDIE melibatkan fasa analisis, reka bentuk,</p><p>pembangunan, pelaksanaan serta penilaian. Reka bentuk kajian adalah pembinaan dan</p><p>validasi instrumen melibatkan kaedah tinjauan pada fasa penilaian. Dua instrumen</p><p>dibangunkan iaitu sampel tugasan berbentuk penyelesaian masalah berkaitan topiktopik</p><p>Matematik tingkatan 1 beserta rubrik. Sejumlah 407 murid tingkatan satu</p><p>daripada tiga kategori sekolah berasrama penuh terlibat sebagai sampel kajian.</p><p>Respon murid bagi tugasan diskor oleh tujuh orang pemeriksa berpandukan rubrik</p><p>untuk lima dimensi proses matematik iaitu penyelesaian masalah, penaakulan,</p><p>komunikasi, perwakilan dan perkaitan. Hasil analisis penilaian oleh sembilan orang</p><p>pakar menunjukkan tugasan dan rubrik mempunyai kesahan kandungan yang tinggi,</p><p>dengan nilai CVR dalam julat 0.80 hingga 1.00. Model Rasch pelbagai faset (MFRM)</p><p>digunakan bagi menentukan kesahan rubrik ProM3 daripada aspek kebolehan murid,</p><p>ketegasan pemeriksa (rater) dan kesukaran item. Rubrik menunjukkan kesahan</p><p>konstruk yang baik dengan nilai PTMEA CORR positif (0.32-0.75), dan nilai statistik</p><p>fit dalam julat yang boleh diterima (0.5-1.5). Analisis unidimensionaliti menunjukkan</p><p>instrumen dapat menerangkan 50.40% daripada kemahiran proses matematik yang</p><p>diukur. Skala pemeringkatan juga berfungsi baik dengan saiz selang dalam julat 1.4</p><p>hingga 5.0. Sementara itu ukuran kesukaran item (+1.84--2.33 logit) tertabur sepadan</p><p>dengan kebolehan murid (+4.75--3.58 logit). Rubrik juga menunjukkan nilai</p><p>kebolehpercayaan item (0.99) dan persetujuan yang baik antara pemeriksa (48.7%).</p><p>Peta pemboleh ubah menunjukkan responden terbahagi kepada empat tahap</p><p>kemahiran proses matematik iaitu Cemerlang (2.46%), Baik (41.77%), Sederhana</p><p>(52.58%) dan Lemah (3.19%). Min kemahiran proses matematik murid berada pada</p><p>tahap sederhana (-0.38 logit). Kesimpulannya, instrumen yang dibangunkan</p><p>mempunyai ciri-ciri psikometrik yang baik bagi mengukur proses matematik murid.</p><p>Implikasinya, penggunaan instrumen boleh diperluaskan kepada murid-murid sekolah</p><p>menengah dan boleh dijadikan model bagi mengukur kemahiran yang sama untuk</p><p>topik-topik yang berlainan.</p> 2022 thesis https://ir.upsi.edu.my/detailsg.php?det=8720 https://ir.upsi.edu.my/detailsg.php?det=8720 text zsm closedAccess Doctoral Universiti Pendidikan Sultan Idris Fakulti Pembangunan Manusia <p>Adibah Abdul Latif. (2013). Pembangunan instrumen penilaian akhlak pelajar di</p><p>Institusi Pengajian Tinggi Awam. Tesis Doktor Falsafah, Universiti Teknologi</p><p>Malaysia.</p><p></p><p>Ag. Syahrole Ag. Saman, & Chin Kin Eng. (2017). Solving mathematics word</p><p>problems through reflection. International journal of academic research in</p><p>business and socials sciences, 6(12). https://doi.org/10.6007/ijarbss/v6-i12/2497</p><p></p><p>Agarwal, B. P. K., & Agostinelli, A. (2020). Interleaving in Math: A research-based</p><p>strategy to boost learning. American Educator, (Spring), 2440.</p><p></p><p>Akdemir, E. (2018). Investigating the reflective thinking skills of students for problem</p><p>solving. The Turkish online journal of educational technology, 1(November),</p><p>774780.</p><p></p><p>Allred, S. R., Crawford, L. E., Duffy, S., & Smith, J. (2016). Working memory and</p><p>spatial judgments: Cognitive load increases the central tendency bias.</p><p>Psychonomic bulletin and review, 23(6), 18251831.</p><p>https://doi.org/10.3758/s13423-016-1039-0</p><p></p><p>Andrich, D., & Marais, I. (2019). A course in Rasch measurement theory.</p><p>https://doi.org/https://doi.org/10.1007/978-981-13-7496-8</p><p></p><p>Ardiyanti, D., & Dinni, S. M. (2018). Aplikasi model Rasch dalam pengembangan</p><p>instrumen deteksi dini postpartum depression. Jurnal psikologi, 45(2), 8197.</p><p>https://doi.org/10.22146/jpsi.29818</p><p></p><p>Arter, J., & McTighe, J. (2001). Scoring rubrics in the classroom: Using performance</p><p>criteria for assessing and improving student performance (First Edition).</p><p>California: Corwin Press, Inc.</p><p></p><p>Ayre, C., & Scally, A. J. (2014). Critical values for Lawshes content validity ratio:</p><p>Revisiting the original methods of calculation. Measurement and evaluation in</p><p>counseling and development, 47(1), 7986.</p><p>https://doi.org/10.1177/0748175613513808</p><p></p><p>Azizi Ahmad. (2010). Pendekatan alternatif dalam pentaksiran pembelajaran. In</p><p>Pentaksiran pembelajaran (pp. 7988). Kuala Lumpur: Dewan Bahasa dan</p><p>Pustaka.</p><p></p><p>Azizi Alias, & Kamisah Osman. (2015). Assessing oral communication skills in</p><p>Science: A rubric development. Asia Pacific Journal of educators and education,</p><p>30, 107122.</p><p></p><p>Azliza Muhammad. (2019). Pembinaan dan validasi Rubrik Pentaksiran Kendiri</p><p>Kemahiran Insaniah, e-Persona. Tesis Doktor Falsafah, Universiti Pendidikan</p><p>Sultan Idris.</p><p></p><p>Azmanirah Ab Rahman, Jamil Ahmad, Ruhizan Mohammad Yasin, & Nurfirdawati</p><p>Muhamad Hanafi (2020). The effect of rubric on raters severity and bias in tvet</p><p>laboratory practice assessment: Analysis using many-facet rasch measurement.</p><p>Journal of technical education and training, 12(1 Special Issue), 5767.</p><p>https://doi.org/10.30880/jtet.2020.12.01.006</p><p></p><p>Azrilah Abd Aziz, Mohd Saidfudin Masodi, & Azami Zaharim. (2013). Asas model</p><p>pengukuran Rasch. Bangi: Penerbit Universiti Kebangsaan Malaysia.</p><p></p><p>Baghaei, P. (2011). Validation of a multiple choice English vocabulary test with the</p><p>Rasch model. 2(5), 10521060. https://doi.org/10.4304/jltr.2.5.1052-1060</p><p></p><p>Barkaoui, K. (2010). Do ESL essay raters evaluation criteria change with</p><p>experience? A mixed-methods, cross-sectional study. TESOL Quarterly, 44, 31-</p><p>57. doi:10.5054/tq.2010.214047</p><p></p><p>Beck, C. T., & Gable, R. K. (2003). Postpartum depression screening scale. Nursing</p><p>research, 52(5), 296305.</p><p></p><p>Beswick, K., & Fraser, S. (2019). Developing mathematics teachers 21st century</p><p>competence for teaching in STEM contexts. ZDM - Mathematics education,</p><p>51(6), 955965. https://doi.org/10.1007/s11858-019-01084-2</p><p></p><p>Bond, T. G., & Fox, C. M. (2001). Applying the Rasch model: Fundamental</p><p>measurement in the human sciences(2nd ed.). New Jersey: Lawrence Erlbaum</p><p>Associate Publishers, London.</p><p></p><p>Bond, T. G., & Fox, C. M. (2015). Applying the Rasch model: Fundamental</p><p>measurement in the human sciences (3rd ed.). New York: Routledge Taylor and</p><p>Francis Group.</p><p></p><p>Boone, W. J., & Staver, J. R. (2020). Advances in Rasch analyses in the human</p><p>sciences.</p><p></p><p>Boone, W. J., Staver, J. R., & Yale, M. S. (2014). Rasch analysis in the human</p><p>sciences (1st ed.). https://doi.org/10.1007/978-94-007-6857-4</p><p></p><p>Boud, D., Keogh, R., & Walker, D. (1985). Reflection: Turning experience into</p><p>learning. In Learning. https://doi.org/10.1145/1734263.1734380</p><p></p><p>Branch, R. M. (2009). Instructional design: The ADDIE approach. New York:</p><p>Springer Science + Bussiness Media.</p><p></p><p>Brentari, E., & Golia, S. (2013). Unidimensionality in the Rasch model: How to</p><p>detect and interpret. Statistica, 67(3), 253261.</p><p>https://doi.org/10.6092/issn.1973-2201/3508</p><p></p><p>Breyfogle, M. L., & Lynch, C. M. (2010). Van Hiele revisited. Mathematics teaching</p><p>in the middle school, 16(4), 232238.</p><p></p><p>Brookhart, S. M. (2010). General principles for assessing higher-order thinking. In</p><p>How to assess higher-order thinking skills in your classroom (pp. 1738).</p><p></p><p>Bruner, J. (1960). The process of education. New York: Vintage.</p><p></p><p>Burke, K. (2006). From standards to rubrics in 6 steps: Tools to assessing student</p><p>learning, K-8. California: Corwin Press.</p><p></p><p>Burns. N, & Grove, S. K. (1993). The practice of nursing research conduct,critique,</p><p>and utilization (2nd Ed.). Philadelphia: WB Saunders Company.</p><p></p><p>Caban, H. L. (2003). Rater group bias in the speaking assessment of four L1 Japanese</p><p>ESL students. Second Language Studies, 21(2), 1-44.</p><p></p><p>Cambridge University Press (2008) Facet. In Cambridge advanced learner's</p><p>dictionary & thesaurus (3rd ed.</p><p>https://dictionary.cambridge.org/dictionary/english/facet</p><p></p><p>Cambridge University Press (2008) Validation. In Cambridge advanced learner's</p><p>dictionary & thesaurus (3rd ed.</p><p>https://dictionary.cambridge.org/dictionary/english/validation</p><p></p><p>Carson, J. (2007). A problem with problem solving : Teaching thinking without</p><p>teaching knowledge. The Mathematics educator, 17(2), 714.</p><p></p><p>Chan, S., Inoue, C., & Taylor, L. (2015). Developing rubrics to assess the readinginto-</p><p>writing skills: A case study. Assessing writing, 26.</p><p>https://doi.org/10.1016/j.asw.2015.07.004</p><p></p><p>Charlesworth, R. (2012). Experiences in Math for young children (6th ed.). Boston:</p><p>Wardsworth, Cencage Learning.</p><p></p><p>Chong Sin Yee, Wong Jieh Tze, & Abdul Halim Abdullah. (2017). Pencapaian</p><p>Matematik TIMSS 1999, 2003, 2007, 2011 dan 2015 : Di mana kedudukan</p><p>Malaysia dalam kalangan negara Asia Tenggara ? Malaysian Journal of higher</p><p>order thinking skills in Education, (December).</p><p></p><p>Chun, L., & Yunnan, X. (2018). A study on rater reliability under holistic and analytic</p><p>scoring of CEPT writing by using generalizability theory and many-facet Rasch</p><p>model. Advances in economics, business and management research, 71(Emle),</p><p>10131019. https://doi.org/10.2991/emle-18.2018.201</p><p></p><p>Clark, K. K., Pittman, E., & Borko, H. (2005). Strategies for building mathematical</p><p>communication in the middle school classroom: Modeled in professional</p><p>development, implemented in the classroom. Current issues in middle level</p><p>education, 11(2), 112.</p><p></p><p>Cortina, J. M. (1993). What is coefficient alpha? An examination of theory and</p><p>applications. Journal of applied psychology, 78(1), 98104.</p><p>https://doi.org/10.1037/0021-9010.78.1.98</p><p></p><p>Costa, A. L. (2004). Habits of mind. Current surgery, 61(1), 101103.</p><p>https://doi.org/10.1016/j.cursur.2003.09.009</p><p></p><p>Costa, A. L., & Kallick, B. (2008). Learning and leading with habits of mind: 16</p><p>essential characteristics for success. Alexandria: Association for Supervision</p><p>and Curriculum Development.</p><p></p><p>Creswell, J.W (2017). Educational research: Planning, conducting and evaluating</p><p>quantitative and qualitative research. (5th ed.). Pearson.</p><p></p><p>Creswell, J. W., & Cresswell, J. D. (2017). Research design: Qualitative, quantitative</p><p>and mixed methods approaches. (5th ed.). SAGE Publication.</p><p></p><p>Davis, L. L. (1992). Instrument review: Getting the most from your panel of experts.</p><p>Applied nursing research, 5(4), 194197. Retrieved from</p><p>https://doi.org/10.1016/S0897-1897(05)80008-4</p><p></p><p>De Ayala, R. J. (2009). The theory and practice of item response theory.</p><p>https://doi.org/10.1073/pnas.0703993104</p><p></p><p>Dewey, J. (1933). How we think: A restatement of the relation of reflective thinking to</p><p>the educative process. Boston: D. C. Heath and Company.</p><p></p><p>Doerr, H. M., & English, L. D. (2003). A modeling perspective on students</p><p>mathematical reasoning about data. Journal for research in Mathematics</p><p>education, 34(2), 110136. https://doi.org/10.2307/30034902</p><p></p><p>Douven, I. (2018). A Bayesian perspective on likert scales and central tendency.</p><p>Psychonomic bulletin and review, 25(3), 12031211.</p><p>https://doi.org/10.3758/s13423-017-1344-2</p><p></p><p>Dumas, D., Alexander, P. A., & Grossnickle, E. M. (2018). Relational reasoning and</p><p>its manifestations in the educational context : a systematic review of the</p><p>literature. Educational psychologist review, 25(3), 391427.</p><p></p><p>Ebel, R.L. (1965). Measuring educational achievement (ke-2). Eaglewood Cliffs, N.J:</p><p>Prentice Hall.</p><p></p><p>Eckes, T. (2005). Examining rater effects in TestDaF writing and speaking</p><p>performance assessments : A many-facet Rasch analysis. Language assessment</p><p>quarterly, 2(3), 197221.</p><p></p><p>Eckes, T. (2009). Many-facet Rasch measurement. Retrieved from</p><p>https://www.researchgate.net/publication/228465956</p><p></p><p>Eckes, T. (2012). Operational rater types in writing assess- ment: Linking rater</p><p>cognition to rater behavior. Language Assessment Quarterly, 9, 270-292.</p><p>doi:10.1080/15434303.2 011.649381</p><p></p><p>Eckes, T. (2015). Introduction to many- facet Rasch measurement : Analyzing and</p><p>evaluating rater mediated assessment (2nd ed.). https://doi.org/10.3726/978-3-</p><p>653-04844-5</p><p></p><p>Eftah Abdullah, & Abd Aziz Abd Shukor. (2013). Pentaksiran prestasi & pentaksiran</p><p>rujukan standard dalam bilik darjah. Tanjung Malim.</p><p></p><p>Eggen, P., & Kauchak, D. (2010). Educational psychology: Windows on classroom.</p><p>New Jersey: Pearson Merril Prentice Hall.</p><p></p><p>Engelhard, G. (1994). Examining rater errors in the assessment of written</p><p>composition with a many-faceted Rasch model. 31(2), 93112.</p><p></p><p>Engelhard, G., & Wind, S. A. (2018). What is invariant measurement with raters. In</p><p>invariant measurement with raters and rating scales (First, pp. 1014).</p><p>https://doi.org/10.4324/9781315766829-14</p><p></p><p>Erdem, E., & Gurbuz, R. (2015). An analysis of seventh-grade students mathematical</p><p>reasoning. Cukurova University Faculty of Education Journal, 44(1), 123.</p><p>https://doi.org/10.14812/cufej.2015.007</p><p></p><p>Erguvan, I. D., & Dunya, B. A. (2020). Analyzing Rater Severity in A Freshman</p><p>Composition Course Using Many Facet Rasch Measurement. Language Testing</p><p>in Asia, 10(1). https://doi.org/10.1186/s40468-020-0098-3</p><p></p><p>Fanari, R., Meloni, C., & Massidda, D. (2017). Early numerical competence and</p><p>number line task performance in kindergarteners. 14th International conference</p><p>on cognition and exploratory learning in digital age, 7077.</p><p></p><p>Farah Zahidah Mohd Noor, Siti Adila Mohamad Yazi, & Nor Atiqah Ahmad Zaki.</p><p>(2017). The implementation of item analysis in community college. Advanced</p><p>journal of technical and vocational education, 1(4), 5056.</p><p>https://doi.org/10.26666/rmp.ajtve.2017.4.11</p><p></p><p>Farrokhi, F., Esfandiari, R., & Dalili, M. V. (2011). Applying the many-facet Rasch</p><p>model to detect centrality in self-assessment, peer-assessment and teacher</p><p>assessment. World applied Sciences journal, 15, 7077.</p><p></p><p>Fazura Mohd Noor, Sharifah Norul Akmar Syed Zamri, & Leong Kwan Eu. (2016).</p><p>Penaakulan perkadaran murid tahun lima dalam topik nisbah dan kadaran. Jurnal</p><p>pendidikan Malaysia, 41(2), 99105.</p><p></p><p>Ferri, R. B. (2015). Mathematical thinking styles - an empirical study. (January 2006).</p><p></p><p>Fisher. (2007). Rating scale instrument quality criteria. Rasch measurement</p><p>transaction, 21(1), 1095.</p><p></p><p>Fox, C. M., & Jones, J. (1998). Uses of Rasch modelling in counselling psychology</p><p>research. Journal of counselling psychology, 45(1), 3045.</p><p></p><p>Fraenkel, J. R., & Wallen, N. E. (2009). How to design and evaluate research in</p><p>education (7th ed.). New York: Mc Graw Hill.</p><p></p><p>Freire, P. (1993). Education for critical consciousness. In The Paulo Freire Reader.</p><p>https://doi.org/10.1177/074171367402400405</p><p></p><p>Fuys, D. (1985). Van Hiele levels of thinking in Geometry. Education and urban</p><p>society, 17(4).</p><p></p><p>Gainsburg, J. (2008). Real-world connections in secondary mathematics teaching.</p><p>Journal of Mathematics teacher education, 11(3), 199219.</p><p>https://doi.org/10.1007/s10857-007-9070-8</p><p></p><p>Ghazali Darusalam, & Sufean Hussin. (2018a). Kerangka konseptual dan teoritikal</p><p>kajian. In Metodologi penyelidikan dalam pendidikan: Amalan dan analisis</p><p>kajian (Edisi Kedua, pp. 168221). Kuala Lumpur: Penerbit Universiti Malaya.</p><p></p><p>Ghazali Darusalam, & Sufean Hussin. (2018b). Kesahan dan kebolehpercayaan. In</p><p>Metodologi penyelidikan dalam pendidikan: Amalan dan analisis kajian (Edisi</p><p>Kedua, pp. 117134). Kuala Lumpur: Penebit Universiti Malaya.</p><p></p><p>Ghazali Darusalam, & Sufean Hussin. (2018c). Penyelidikan kuantitatif. In</p><p>Metodologi penyelidikan dalam pendidikan: Amalan dan analisis kajian (Edisi</p><p>Kedua, pp. 33448). Kuala Lumpur: Penebit Universiti Malaya.</p><p></p><p>Ghazi, S. R. (2014). Formal operational stage of Piagets cognitive development</p><p>theory : An implication in learning Mathematics. 17(2), 7185.</p><p></p><p>Glasersfeld, E. V. (1984). An introduction to radical constructivism. In The invented</p><p>reality. New York: Norton.</p><p></p><p>Glasersfeld, E. V., & Ackermann, E. K. (2011). Reflections on the concept of</p><p>experience and the role of consciousness. Constructivist foundation, 6(2), 193</p><p>203.</p><p></p><p>Goldin G.A. (2014). Mathematical representations. In Lerman S. (eds) Encyclopedia</p><p>of Mathematics education. https://doi.org/10.1007/978-94-007-4978-8_103</p><p></p><p>Grant, J. S., & Davis, L. L. (1998). Selection and use of content experts for instrument</p><p>development. Research in nursing health, 20, 269274.</p><p></p><p>Gravemeijer, K., Stephan, M., Julie, C., Lin, F. L., & Ohtani, M. (2017). What</p><p>Mathematics education may prepare students for the society of the future?</p><p>International journal of Science and Mathematics education, 15, 105123.</p><p>https://doi.org/10.1007/s10763-017-9814-6</p><p></p><p>Griffiths, R., & Clyne, M. (1994). Language in the Mathematics classroom (1st ed.).</p><p>Armadale, Australia: Eleanor Curtain Publishing.</p><p></p><p>Guillaume, A. M. (2005). Classroom Mathematics inventory. Pearson Education.</p><p></p><p>Gulkilik, H., Kaplan, H. A., & Emul, N. (2019). Investigating the relationship</p><p>between argumentation and proof from a representational perspective.</p><p>International Journal for Mathematics teaching and learning, 20(2), 131148.</p><p></p><p>Habermas, J. (1984). The theory of communicative action 1. Reason and</p><p>rationalization of society. In Beason press.</p><p>https://doi.org/10.1017/CBO9781107415324.004</p><p></p><p>Hanna, G. S., dan Dettmer, P. 2004. Assessment for effective teaching : using contextadaptive</p><p>planning. Boston: Allyn dan Bacon.</p><p></p><p>Hecimovich, M. D., Styles, I., & Volet, S. E. (2014). Development and psychometric</p><p>evaluation of scales to measure professional confidence in manual medicine : A</p><p>Rasch measurement approach. BMC research notes, 7(388), 114.</p><p></p><p>Hudiya Adzhar, Aidah Abdul Karim, & Muhammad Uzair Sahrin. (2018).</p><p>Pembangunan instrumen penerimaan e-pembelajaran pelajar pascasiswazah</p><p>menggunakan analisis Rasch. Jurnal pendidikan Malaysia, 42(2), 147155.</p><p>https://doi.org/http: //dx.doi.org/10.17576/JPEn-2017-42.02-08 Pembangunan</p><p></p><p>Hulse, S. F. 2006. Test Statistics. In Teaching Technicques in the Radiologic Sciences</p><p>(Vol. 61(2), p. 160). New York: American Society of Radiologi Technologists.</p><p></p><p>Hung, S., Chen, P., Chen, H., Hung, S., Chen, P., & Chen, H. (2012). Improving</p><p>creativity performance assessment : A rater effect examination with many-facet</p><p>Rasch model (February 2015), 3741.</p><p>https://doi.org/10.1080/10400419.2012.730331</p><p></p><p>Hwang, J. E. (2010). Promoting healthy lifestyles with aging : Development and</p><p>validation of the health enhancement lifestyle profile ( HELP ) using the Rasch</p><p>measurement model. The American journal of occupational therapy, 64(5).</p><p>https://doi.org/10.5014/ajot.2010.09088</p><p></p><p>Intaros, P., Inprasitha, M., & Srisawadi, N. (2014). Students problem solving</p><p>strategies in problem solving-mathematics classroom. Procedia - social and</p><p>behavioral sciences, 116, 41194123.</p><p>https://doi.org/10.1016/j.sbspro.2014.01.901</p><p></p><p>Johnson, J. S., & Lim, G. S. (2009). The influence of rater language background on</p><p>writing performance assessment. Language Testing, 26, 485-505.</p><p>doi:10.1177/0265532209340186</p><p></p><p>Johnson, R. L., Penny, J. A., & Gordon, B. (2009). Assessing performance:</p><p>Designing, scoring, and validating performance tasks. New York: Guilford</p><p>Press.</p><p></p><p>Jonassen, D. H. (2004). Learning to solve problems ; An instructional design guide.</p><p>San Francisco: Pfeiffer.</p><p></p><p>Jurezak, P. M. (1997). The language and metaphor of Jean Piaget. Educational</p><p>psychology previea, 9(3), 311318. https://doi.org/10.1023/A:1024795410368</p><p></p><p>Kementerian Pendidikan Malaysia. (2015). Dokumen Standard Kurikulum dan</p><p>Pentaksiran Matematik Tingkatan 1 (Bahagian Pembangunan Kurikulum).</p><p>Putrajaya: Kementerian Pendidikan Malaysia.</p><p></p><p>Klerlein, J., & Hervey, S. (2000). Mathematics as a complex problem-solving activity.</p><p>Retrieved from https://www.generationready.com/mathematics-as-a-complexproblem-</p><p>solving-activity/</p><p></p><p>Knoch, U. (2007). Do empirically developed rating scales function differently to</p><p>conventional rating scales for academic writing? Spaan Fellow Working Papers</p><p>in Second or Foreign Language Assessment, 5, 1-36.</p><p></p><p>Kojo, A., Laine, A., & Nveri, L. (2018). How did you solve it? Teachers</p><p>approaches to guiding mathematics problem solving. International journal on</p><p>Math, Science and technology education, 6(1), 2240.</p><p>https://doi.org/10.31129/LUMAT.6.1.294</p><p></p><p>Kolb, A. Y., & Kolb, D. A. (2012). Experiential learning theory. In Encyclopedia of</p><p>the sciences of learning. https://doi.org/10.1007/978-1-4419-1428-6_227</p><p></p><p>Kolb, D. A. (1984). Experiential learning: Experience as the source of learning and</p><p>development. Prentice Hall, Inc. https://doi.org/10.1016/B978-0-7506-7223-</p><p>8.50017-4</p><p></p><p>Krawec, J. L. (2010). Problem representation and mathematical problem solving of</p><p>students of varying Math ability. University of Miami.</p><p></p><p>Lamoureux, E. L., Pesudovs, K., Thumboo, J., & Saw, S. (2009). An evaluation of the</p><p>reliability and validity of the visual functioning questionnaire ( VF-11 ) using</p><p>Rasch analysis in an Asian population. Investigative ophthalmology & visual</p><p>science, (May). https://doi.org/10.1167/iovs.08-2359</p><p></p><p>Lans, R. M. Van Der, Grift, W. J. C. M. Van De, & Veen, K. Van. (2015).</p><p>Developing a teacher evaluation instrument to provide formative feedback using</p><p>student ratings of teaching acts. Educational measurement: Issue and practice,</p><p>34(3), 1827.</p><p></p><p>Lantz, H. B. (2004). Rubrics for assessing student achievement in science grades K-</p><p>12. California: Corwin Press.</p><p></p><p>Lawshe, C. H. (1975). A quantitative approach to content validity. Personnel</p><p>psychology, 28(4), 563575. https://doi.org/10.1111/j.1744-6570.1975.tb01393.x</p><p></p><p>Lawson, A. E. (1978). The development and validation of a classroom test of formal</p><p>reasoning. Journal of research in science teaching, 15(1), 1124.</p><p></p><p>Lean, G., & Clements, M. A. Ken. (2010). Spatial ability, visual imagery, and</p><p>Mathematical performance. Educational studies in Mathematics, 12(3), 267299.</p><p></p><p>Linacre, J. M. (1999). Investigating rating scale utility. Journal of outcome</p><p>measurement, 3(2), 103122.</p><p></p><p>Linacre, J. M. (2002). Understanding Rasch measurement: Optimizing rating cale</p><p>category effectiveness. Journal of applied measurement, 3(1), 85106.</p><p></p><p>Linacre, J. M. (2015). New approaches to determining reliability and validity.</p><p>Research quarterly for exercise and sport, 71(November), 129136.</p><p>https://doi.org/10.1080/02701367.2000.11082796</p><p></p><p>Linacre, J. M. (2018). A users guide to FACETS Rasch model computer Programs.</p><p></p><p>Linacre, J. M. (2019). Winsteps help for Rasch analysis 4.4.0.</p><p></p><p>Linacre, J. M. (2021). Winsteps help for Rasch analysis 4.8.0.</p><p></p><p>Linacre, J. M. (1994). Sample size and item calibration stability. Rasch measurement</p><p>transactions, 7(4), 328.</p><p></p><p>Linacre, J. M. (1997). Guidelines for rating scales and Andrich thresholds. Midwest</p><p>objective measurement seminar. Retrieved from https://www.rasch.org/rn2.htm</p><p></p><p>Linacre, J. M. (2003). Rasch power analysis: Size vs. significance: Infit and outfit</p><p>mean-square and standardized chi-square fit statistic. Rasch measurement</p><p>transactions, 17(1), 918. Retrieved from https://www.rasch.org/rmt/rmt171n.htm</p><p></p><p>Linacre, J. M. (2002). What do infit and outfit, mean-square and standardized mean?</p><p>Rasch Measurement Transactions, 16(2), 878.</p><p></p><p>Linacre, J. M, & Tennant, A. (2009). More about critical eigenvalue sizes (variances)</p><p>in standardized-residual principal components analysis (PCA). Rasch</p><p>measurement transaction, 23(3), 1228.</p><p></p><p>Linacre J. M. & Wright, (2002). Optimizing rating scale category effectiveness.</p><p>Journal of Applied Measurement, 3(1), 85-106</p><p></p><p>Loewenthal, K. M. 2001. An introduction to psychological tests and scales. East</p><p>Sussex: Psychology Press.</p><p></p><p>Lunz, M. E. (1997). Performance examinations: Technology for analysis and standard</p><p>setting. Annual meeting of the National council of measurement in education.</p><p>https://doi.org/10.1158/1535-7163.mct-16-0142</p><p></p><p>Lynn, M. R. (1986). Determination and quantification of content validity. Nursing</p><p>research, 35(6), 382386.</p><p></p><p>Matteo, S. (1993). Review of Vico revisited : Orthodoxy, naturalism and science in</p><p>the "Scienza Nuova. Italica, 70(1), 99103.</p><p></p><p>Mazlini Adnan, & Nurul Sarah Jalil. (2016). Keupayaan murid cemerlang akademik</p><p>tingkatan empat dalam menyelesaikan masalah Algebra bukan rutin. Jurnal</p><p>pendidikan Sains & Matematik Malaysia, 6(1), 5867.</p><p></p><p>McIntire, S. A., & Miller, L. A. 2007. Foundation of Psychological Testing: A</p><p>Practical Approach (2nd.ed). California: Sage Publications.</p><p></p><p>Mcleod, S. (2017). Kolb-learning styles. Retrieved from</p><p>www.simplypsychology.org/learning-kolb.html</p><p></p><p>McLeod, S. (2018). Bruner. Retrieved from</p><p>https://www.simplypsychology.org/bruner.html</p><p></p><p>McNamara, T. F. (1996). Measuring second language performance. London:</p><p>Longman.</p><p></p><p>Merriam, B. S. (2001). Case study research in education: A qualitative approach.</p><p>California: Josey-Bass Inco.</p><p></p><p>Mezirow, J. (2004). Transformative learning: Theory to practice. New directions for</p><p>adult and continuing education. https://doi.org/10.1002/ace.7401</p><p></p><p>Mitcham, E. C. (2015). Teacher capacity and attitude toward data : An examination</p><p>of the association between teacher beliefs and student performance on the</p><p>measures of academic progress assessment.</p><p></p><p>Mohd Uzi Dollah, Noor Shah Saad, Mohd Faizal Nizam lee Abdullah, & Qismullah</p><p>Yusof. (2016). Penerapan nilai rasionalisme dan objektivisme dalam pengajaran</p><p>guru Matematik sekolah rendah. Jurnal pendidikan Sains & Matematik</p><p>Malaysia, 6(2), 85108.</p><p></p><p>Moskal, B. M. (2003). Recommendations for developing classroom performance</p><p>assessments and scoring rubrics. Practical assessment, research & evaluation,</p><p>8(14), 15.</p><p></p><p>Murphy, K., & Davidshofer, C. (1998). Psychological testing; Principles and</p><p>applications (ke-4). New Jersey: Prentice-Hall.</p><p></p><p>Mushlihah Rohmah, & Sugeng Sutiarso. (2018). Analysis problem solving in</p><p>mathematical using theory Newman. 14(2), 671681.</p><p>https://doi.org/10.12973/ejmste/80630</p><p></p><p>Myford, C. M., & Wolfe, E. W. (2003). Detecting and measuring rater effects using</p><p>many-facet Rasch measurement : Part I. Journal of applied measurement, 4(4),</p><p>386422.</p><p></p><p>Myford, C. M., & Wolfe, E. W. (2004). Detecting and measuring rater effects using</p><p>many-facet Rasch measurement: Part II. Journal of applied measurement, 5(2),</p><p>189227.</p><p></p><p>Nielsen, J. B., Kyvsgaard, J. N., Sildorf, S. M., Kreiner, S., & Svensson, J. (2017).</p><p>Item analysis using Rasch models confirms that the Danish versions of the</p><p>DISABKIDS chronic-generic and diabetes-specific modules are valid and</p><p>reliable. Health and quality of life outcomes, 110.</p><p>https://doi.org/10.1186/s12955-017-0618-8</p><p></p><p>Nik Azis Nik Pa. (1999). Pendekatan kontruktivisme radikal dalam pendidikan</p><p>Matematik. Kuala Lumpur.</p><p></p><p>Nitko, A. J., & Brookhart, S. M. (2011). Educational assessment of students (6th.).</p><p>Arizona. United States: Pearson.</p><p></p><p>Noor Akmar Azlan, & Mohd Faizal Nizam Lee Abdullah. (2017). Komunikasi</p><p>matematik: Penyelesaian masalah dalam pengajaran dan pembelajaran</p><p>Matematik. Jurnal pendidikan Sains & Matematik Malaysia, 7(1), 1631.</p><p></p><p>Noor Lide Abu Kassim. (2011). Judging behaviour and rater errors : An application of</p><p>the many-facet Rasch model. Gema online journal of language studies,</p><p>11(September).</p><p></p><p>Norain Mohd Tajudin, Marzita Puteh, Mazlini Adnan, Mohd Faizal Nizam Lee</p><p>Abdullah, & Amalina Ibrahim. (2015). Persepsi dan amalan pengajaran guru</p><p>Matematik dalam penyelesaian masalah Algebra. Jurnal pendidikan Sains &</p><p>Matematik Malaysia, 5(2), 1222.</p><p></p><p>Nor'ain Mohd Tajudin, & Mohan Chinnappan (2016). Relationship between scientific</p><p>reasoning skills and mathematics achievement among Malaysian students.</p><p>Malaysian Journal of Society and Space, 1(1), 96107.</p><p></p><p>Nor Mashitah Mohd Radzi. (2017). Pembinaan dan pengesahan instrumen</p><p>pentaksiran prestasi standard awal pembelajaran dan perkembangan awal</p><p>kanak-kanak. Tesis Doktor Falsafah, Universiti Malaya.</p><p></p><p>Nor Syamimi Samsudin, Ismail Samsudin, Ahmad Faisol Yusof, & Mohd Zikri Mohd</p><p>Zaki. (2018). Improving students learning approach in mathematical thinking</p><p>through constructivist learning approach with creativity for architecture students.</p><p>Idealogy, 3(2), 155164.</p><p></p><p>Noraini Idris. (2010). Penyelidikan dalam pendidikan. Kuala Lumpur: Mc Graw Hill</p><p>(Malaysia).</p><p></p><p>Nordin Abd Razak, & Azadeh Shafaei. (2016). The variation in teaching and learning</p><p>practices and their contribution to Mathematics performance in PISA 2012. In</p><p>What can PISA 2012 Data tell us?. Brill Sense.123-157</p><p></p><p>Nunally J.C. (1978). Psychometric theory. New York: Mc Graw Hill Company.</p><p></p><p>Nurfirdawati Muhamad Hanafi. (2016). Pembangunan dan penentusahan rubrik</p><p>pentaksiran prestasi bagi mentaksir projek reka bentuk seni bina di Politeknik</p><p>Malaysia. Tesis Doktor Falsafah, Universiti Pendidikan Sultan Idris.</p><p></p><p>Oers, B. Van. (2010). Emergent mathematical thinking in the context of play.</p><p>(December 2009), 2337. https://doi.org/10.1007/s10649-009-9225-x</p><p></p><p>Ojose, B. (2008). Applying Piagets theory of cognitive development to Mathematics</p><p>instruction. The Mathematics educator, 18(1), 2630.</p><p></p><p>Onal, H., Inan, M., & Bozkurt, S. (2017). A research on mathematical thinking skills:</p><p>Mathematical thinking skills of athletes in individual and team sports. 5(9), 133</p><p>139. https://doi.org/10.11114/jets.v5i9.2428</p><p></p><p>Osadebe, P. U., & Agbure, B. (2018). Assessment of differential item functioning in</p><p>social studies multiple choice questions in basic education certificate</p><p>examination. European journal of education studies, 4(9) 236257.</p><p>https://doi.org/10.5281/zenodo.1301272</p><p></p><p>Ostrow, J. (1999). Making problems, creating solutions: Challenging young</p><p>Mathematicians (1st ed.). Portland, Maine: Stenhouse Publishers.</p><p></p><p>Pamela, O. (2009). An analysis of the strengths and limitation of qualitative and</p><p>quantitative research paradigms. Problems of education in the 21st century, 13,</p><p>1318.</p><p></p><p>Perlman, C. L. (2003). Performance assessment: Designing appropriate performance</p><p>tasks and scoring rubrics. In The CPS performance assessment idea book.</p><p>Chicago: Chicago Public Schools.</p><p></p><p>Pesudovs, K., Burr, J. M., Harley, C., & Elliott, D. B. (2007). The development,</p><p>assessment, and selection of questionnaires. 84(8), 663674.</p><p></p><p>Piaget, J. (2008). Intellectual evolution from adolescence to adulthood 1. Human</p><p>development, 14, 4047. https://doi.org/10.1159/000112531</p><p></p><p>Piaget, J. (1966). The psychology of intelligence and education. Childhood education,</p><p>42(9), 528. https://doi.org/10.1080/00094056.1966.10727991</p><p></p><p>Piaget, J. (2015). The attainment of invariants and reversible operations in the</p><p>development of thinking. Social research, 51(1), 167184.</p><p></p><p>Polya, G. (2002). The goals of mathematical education. Mathematics teaching,</p><p>181(December), 4244.</p><p></p><p>Ponte, J. P. (2007). Investigations and explorations in the Mathematics classroom.</p><p>ZDM International journal on Mathematics education, 39(56), 419430.</p><p>https://doi.org/10.1007/s11858-007-0054-z</p><p></p><p>Popham, W. J. (2014). Classroom assessment: What teachers need to know. Boston:</p><p>Pearson Education.</p><p></p><p>Pound, L. (2008). Thinking and learning about Mathematics in the early years. New</p><p>York: Routledge Taylor and Francis Group.</p><p></p><p>Quaigrain, K., & Arhin, A. K. (2017). Using reliability and item analysis to evaluate a</p><p>teacher-developed test in educational measurement and evaluation. Cogent</p><p>education, 12(1), 111. https://doi.org/10.1080/2331186X.2017.1301013</p><p></p><p>Raiche, G. (2005). Critical eigenvalue sizes (variances) in standardized residual</p><p>principal components analysis (PCA). Rasch measurement transaction, 19(1),</p><p>1012.</p><p></p><p>Rasiman, Prasetyowati, D., & Kartinah. (2020). Development of learning videos for</p><p>junior high school math subject to enhance mathematical reasoning.</p><p>International journal of education and practice, 8(1), 1825.</p><p>https://doi.org/10.18488/journal.61.2020.81.18.25</p><p></p><p>Ridwan, I. I. (2018). Rasch model validation of an instrument to measure students</p><p>attitude towards learning embedded systems design course. (February).</p><p></p><p>Rothstein, A., Rothstein, E., & Lauber, G. (2007). Write for Mathematics (2nd ed.).</p><p>California, USA: Corwin Press.</p><p></p><p>Rubio, D. M., Berg-Weger, M., & Tebb, S. (2003). Objectifying content validity:</p><p>Conducting a content validity study in social work research. Social work</p><p>research, 27(June 2015). https://doi.org/10.1093/swr/27.2.94</p><p></p><p>Russian, M. K., & Airasian, P. W. (2012). Classroom assessment: Concepts and</p><p>application (Seventh). Boston: Mc Graw Hill.</p><p></p><p>Samir, A., & Tabatabaee-yazdi, M. (2020). Translation quality assessment rubric : A</p><p>Rasch model-based validation. International Journal of Language Testing,</p><p>10(October).</p><p></p><p>Schaefer, E. (2008). Rater bias patterns in an EFL writing assessment. Language</p><p>Testing, 25, 465-493. doi:10.1177/ 0265532208094273</p><p></p><p>Scheel, C., Mecham, J., Zuccarello, V., & Mattes, R. (2018). An evaluation of the</p><p>inter-rater and intra-rater reliability of OccuPros functional capacity</p><p>evaluation. 60, 465473. https://doi.org/10.3233/WOR-182754</p><p></p><p>Schoenfeld, A. H. (1987). Cognitive Science and Mathematics education. Hillsdale,</p><p>NJ: Lawrence Erlbaum Associates.</p><p></p><p>Schoenfeld, A. H. (2007). Problem solving in the United States, 19702008: Research</p><p>and theory, practice and politics. Zdm Mathematics education, 39(56), 537551.</p><p>https://doi.org/10.1007/s11858-007-0038-z</p><p></p><p>Schoenfeld, A. H. (2013). Reflections on problem solving theory and practice. The</p><p>Mathematics enthusiast, 10(1).</p><p></p><p>Schon, D. A. (1983). The reflective practitioner: How professionals think in action.</p><p>New York: Basic.</p><p></p><p>Scusa, T. (2008). Five processes of mathematical thinking (University of Nebraska-</p><p>Lincoln). Retrieved from http://digitalcommons.unl.edu/mathmidsummative/38</p><p></p><p>Shara Nor Raifana, Noor Shah Saad, & Mohd Uzi Dollah. (2016). Analisis jenis</p><p>kesilapan melalui kaedah Newman error dalam penyelesaian masalah berayat</p><p>Matematik dalam kalangan murid tahun 5. Jurnal pendidikan Sains & Matematik</p><p>Malaysia, 6(2).</p><p></p><p>Shirazi, M. A. (2019). For a greater good: Bias analysis in writing assessment. SAGE</p><p>Open, 9(1). https://doi.org/10.1177/2158244018822377</p><p></p><p>Siti Eshah Mokshein, Haliza Ishak, & Hishamuddin Ahmad. (2019). The use of Rasch</p><p>measurement model in English testing. Cakrawala pendidikan, 38(1), 1632.</p><p>https://doi.org/10.21831/cp.v38i1.22750</p><p></p><p>Siti Rahayah Ariffin, Rodiah Idris, & Noriah Mohd Ishak. (2010). Differential item</p><p>functioning in Malaysian Generic Skills Instrument (MyGSI). Jurnal pendidikan</p><p>Malaysia, 35(1), 110.</p><p></p><p>Sjoblom, M. (2015). Promoting student to student interactions in Mathematics.</p><p>Holmbergs, Malmo University.</p><p></p><p>Smith, E. V. J., Conrad, K. M., Chang, K., & Piazza, J. (2002). An introduction to</p><p>Rasch measurement for scale development and person assessment. 10(3), 189</p><p>206.</p><p></p><p>Stacey, K. (2014). What is mathematical thinking and why is it important? (June).</p><p></p><p>Stergar, C. (2005). Performance task, checklist and rubrics. Illinois: Pearson</p><p>Education.</p><p></p><p>Subramaniam, M. (2017). Pemahaman murid tahun lima tentang luas segi empat.</p><p>Universiti Malaya.</p><p></p><p>Sujadi, I., & Masamah, U. (2017). Mathematical reflective thinking processes of</p><p>senior high school students. Social Sciences and Humanities, 25, 115126.</p><p></p><p>Sukmadewi, T. S. (2014). Improving students mathematical thinking and disposition</p><p>through probing and pushing questions. Jurnal matematika integratif, 10(2), 127.</p><p>https://doi.org/10.24198/jmi.v10.n2.10255.127-138</p><p></p><p>Surayah Zaidon, Aminah Ayob, & Othman Ikhsan. (2014). Pembinaan rubrik</p><p>penilaian penulisan kanak-kanak. 7, 8695.</p><p></p><p>Syahputra, E. (2013). Peningkatan kemampuan spasial siswa melalui penerapan</p><p>pembelajaran matematika realistik. Jurnal cakrawala pendidikan, 3(3), 353364.</p><p>https://doi.org/10.21831/cp.v3i3.1624</p><p></p><p>Syed Abdul Hakim Syed Zainuddin, & Mohini Mohamed. (2010). Keupayaan dan</p><p>sikap dalam menyelesaikan masalah matematik bukan rutin. Jurnal teknologi,</p><p>53, 4762.</p><p></p><p>Tarzimah Tambychik, & Thamby Subahan Mohd Meerah (2010). Students</p><p>difficulties in Mathematics problem-solving : What do they say ? 8(5), 142151.</p><p>https://doi.org/10.1016/j.sbspro.2010.12.020</p><p></p><p>Testa, S., Toscano, A., Rosato, R., & Green, K. E. (2018). Distractor efficiency in an</p><p>item pool for a statistics classroom exam: Assessing its relation with item</p><p>cognitive level classified according to Blooms taxonomy. Quantitative</p><p>psychology and measurement, 9(August), 112.</p><p>https://doi.org/10.3389/fpsyg.2018.01585</p><p></p><p>Tuan Siti Humaira Tuan Hashim, & Mohamad Amir Shah Ahmad. (2016). Analisis</p><p>kesalahan Newman dalam penyelesaian masalah Matematik Tahun 3. Jurnal</p><p>pendidikan Sains & Matematik Malaysia Vol 6, 6(2), 6984.</p><p></p><p>Tuckman, B. W. 1999. Conducting Educational Research (5th ed.). Forth Worth :</p><p>Harcourt Brace College.</p><p></p><p>Van Zile-Tamsen, C. (2017). Using Rasch analysis to inform rating scale</p><p>development. Research in higher education, 58(8), 922933.</p><p>https://doi.org/10.1007/s11162-017-9448-0</p><p></p><p>Veloo, A. (2010). Hubungan di antara orientasi pembelajaran Matematik (OPM)</p><p>dengan pencapaian Matematik. Asia Pacific journal of educators and education,</p><p>25, 3351.</p><p></p><p>Verhelst, N. (2001). Testing the unidimensionality assumption of the Rasch model.</p><p>MPR-Online, 6(3), 231271.</p><p></p><p>Wen, T. K., Norain Mohd Tajudin, & Rohidah Masri. (2017). Pembinaan item dalam</p><p>bidang perkaitan bagi mata pelajaran Matematik tingkatan empat berdasarkan</p><p>model taksonomi pemprosesan maklumat. Jurnal pendidikan Sains & Matematik</p><p>Malaysia, 7(2), 118.</p><p></p><p>Wigglesworth, G. (1993). Exploring bias analysis as a tool for improv- ing rater</p><p>consistency in assessing oral interaction. Language Testing, 10, 305-335.</p><p>doi:10.1177/026553229301000306</p><p></p><p>Wilson, H. . (1989). Research in nursing (2nd ed.). Redwood City CA:</p><p>AddisonWesley.</p><p></p><p>Wind, S. A. (2019). Examining the impacts of rater effects in performance</p><p>assessments. Applied psychological measurement, 43(2), 159171.</p><p>https://doi.org/10.1177/0146621618789391</p><p></p><p>Wood, T. (2001). Teaching differently : Creating opportunities for learning</p><p>Mathematics. Theory into practice, 40(2), 110117.</p><p>https://doi.org/10.1207/s15430421tip4002</p><p></p><p>Wright, B. D., & Linacre, J. M. (1989). Observations are always ordinal;</p><p>measurements, however, must be interval. Archives of physical medicine and</p><p>rehabilitation, 70(12), 857860.</p><p></p><p>Wright, B. D., & Linacre, J. M. (1994). Reasonable mean-square fit values. Rasch</p><p>measurement transactions, 8(3), 370. Retrieved from</p><p>https://www.rasch.org/rmt/rmt83b.htm</p><p></p><p>Wright, B. D., & Masters, G. N. (1982). Rating scale analysis Rasch measurement.</p><p>Chicago: MESA Press Chicago.</p><p></p><p>Wright, B. D., & Stone, M. H. (1979). Best test design. Chicago: MESA Press</p><p>Chicago.</p><p></p><p>Wright, B. D, Perkins, K., & Dorsey, J. K. (2000). Rasch measurement instead of</p><p>regression. Multiple linear regression viewpoints, 26(2).</p><p></p><p>Yilmaz, F. (2017). Analysis of the rater effects in the rating of diagnostic trees</p><p>prepared by teacher candidates by the many-facet Rasch model. Journal of</p><p>education and practice, 8(18), 174184. Retrieved from</p><p>https://www.researchgate.net/publication/333162837</p><p></p><p>Yin, K. R. (1994). Case study research: Design and methods. Newbury Park,</p><p>California: Sage Publication.</p><p></p><p>Zimmerman, B. J. (1990). Self-regulated learning and academic achievement: An</p><p>overview. Educational psychologist, 25(1), 317.</p><p></p><p></p><p></p> |