scholarly journals Equating of grades at basic and higher level of mathematics achievement

2010 ◽  
Vol 7 (2) ◽  
Author(s):  
Alenka Hauptman

In Slovene General Matura, Mathematics is one of the compulsory subjects and it can be taken either at Basic or Higher Level of Achievement. Basic Level of Achievement is expressed by the classic five-grade scale from 1 to 5. Candidates at Higher Level of Achievement can get grades on scale from 1 to 8. Conversion of points into grades (i.e. getting points on tests and points at internal examination and then calculating those grades from the sum of points) on each Level is set independently, and we tried to find out if the same grade on each Level of Achievement corresponds to the same knowledge. Once grades are assigned they are used comparatively in selection procedures for admission to University. Both Basic and Higher Level in Mathematics include the same Part 1 of the exam. The second part of the exam (Part 2) is applied only to the Higher Level's candidates. Part 1 amounts to 80% of the total points at Basic Level, and 53.3% of total points at Higher Level. Higher Level's candidates get other 26.7% of points in Part 2. Oral part of the exam represents 20% of the grades at both Levels. In this paper we show discrepancy between knowledge within the same grades for candidates at Basic and Higher Level of Achievement on an example of a Mathematics exam from General Matura 2008. Rasch model within Item Response Theory framework was used to place item difficulties on common scale and the comparability of grade conversion on both Basic and Higher Level of Achievement was explored. The results show interesting differences in knowledge of candidates with the same grade at Basic and Higher Level of Achievement.

2009 ◽  
Vol 38 (4) ◽  
pp. 615-628 ◽  
Author(s):  
Wen-Hung Chen ◽  
Dennis A. Revicki ◽  
Jin-Shei Lai ◽  
Karon F. Cook ◽  
Dagmar Amtmann

2016 ◽  
Vol 44 (2) ◽  
pp. 226-236
Author(s):  
Joseph R. Miles ◽  
Brent Mallinckrodt ◽  
Daniela A. Recabarren

2021 ◽  
Vol 10 (3) ◽  
pp. 345-356
Author(s):  
Zetra Hainul Putra ◽  
Neni Hermita ◽  
Jesi Alexander Alim

AbstrakPengetahuan matematika, didaktika, dan teknologi yang harus dimilik oleh calon guru dan guru, sebelumnya diukur dengan metode classical test theory (CTT), namun memiliki keterbatasan. Penelitian bertujuan mengetahui pengetahuan tersebut dengan metode yang diprekdiksi lebih akurat yaitu item response theory (IRT) dari rasch model. Metode penelitian meliputi survey pengetahuan matematika dan didaktika serta survey pengetahuan teknologi menggunakan angket. Subjek penelitian yaitu 38 mahasiswa tahun kedua calon guru sekolah dasar dari sebuah institusi pendidikan guru sekolah dasar di Pekanbaru. Hasil studi menunjukkan calon guru sekolah dasar memiliki pengetahuan matematika dan teknologi cukup baik, namun pengetahuan didaktika sangat rendah. Analisis pengetahuan calon guru menggunkan rasch model mampu memberikan gambaran tingkat kesulitan soal/item yang diberikan, tingkat pengetahuan responden, dan interaksi antar responden dan antar soal. Institusi pendidikan perlu mengembangkan pembelajaran bagi calon guru sekolah dasar yang mampu mendukung penguatan dan pengembangan pengetahuan matematika, didaktika, dan teknologi. Prospective Elementary Teachers’ Mathematical, Didactic, and Technological Knowledge Using Rasch Model Analysis AbstractKnowledge of mathematics, didactics, and technology that must be owned by pre-service and in-service teachers, previously measured by the classical test theory (CTT), but has limitations. Study aims to determine that knowledge with a more accurate prediction method using the item response theory (IRT) from the Rasch model. Study used a survey of mathematical and didactic knowledge, and a survey of technological knowledge with a scale. The subjects were 38 second-year students from an elementary school teacher education institution in Pekanbaru. This study indicates that pre-service teachers have relatively sufficient mathematics and technological knowledge, but they were lack of didactic knowledge. Analysis of pre-service teachers’ knowledge using the Rasch model can provide an overview of the difficulty level of the items given, the level of pre-service teachers’ knowledge, and the interaction between respondents and between questions. Institutions need to develop learning instruction for pre-service teachers that can support the strengthening and development of their mathematical, didactic, and technological knowledge.


2020 ◽  
Vol 11 (2) ◽  
Author(s):  
Dafrida Nur Angraeni ◽  
Andri Suherman ◽  
Yudi Guntara

Tujuan dari penelitian ini untuk menghasilkan produk Fluids Assessment (FAss) berdasarkan Taxonomy of Introductory Physics Problems (TIPP) yang layak pada materi fluida dinamis. Analisis validitas menggunakan pendekatan Item Response Theory (IRT) dengan satu Parameter Logistik (PL) yakni parameter tingkat kesukaran atau lebih dikenal dengan Rasch Model. Selain itu, produk yang dihasilkan dianalisis dengan pendekatan teori klasik untuk melihat daya beda dan efektivitas distraktor. Penelitian ini merupakan Research and Development dengan mengadaptasi model pengembangan Borg and Gall. Hasil penelitian menunjukkan bahwa 34 butir soal dinyatakan valid menurut para ahli dengan analisis Content Validity Ratio (CVR). Sedangkan hasil analisis berdasarkan Rasch Model menunjukkan 17 butir soal valid dan reliabilitas soal diperoleh sebesar 0,90 dengan kategori baik. Dapat disimpulkan bahwa Fass memiliki tingkat kesukaran relatif sedang, daya beda yang baik, dan pengecoh yang berfungsi. Hasil implementasi menunjukkan bahwa sebagian besar siswa mengusai setiap level TIPP kecuali level 3a, 4d dan 4c yang berkaitan dengan matching, investigating, dan experimenting. The purpose of this study was to produce a Fluids Assessment (FAss) product based on an appropriate Taxonomy of Introductory Physics Problems (TIPP) on dynamic fluid material. Validity analysis uses the Item Response Theory (IRT) approach with a Parameter Logistic (PL), which is a difficulty level parameter or better known as the Rasch Model. Also, the resulting product was analyzed with a classical theoretical approach to see the difference in distinguishing power and effectiveness of the distractor. This research is a Research and Development by adapting the development model of Borg and Gall. The results showed that 34 items were declared valid according to experts with Content Validity Ratio (CVR) analysis. While the analysis based on the Rasch Model shows that 17 items are valid and the reliability of the questions is 0.90 in the good category, it can conclude that the Fass has a relatively moderate level of difficulty, a good difference in power, and a deception that works. The results of the implementation showed that most students mastered every level of TIPP except level 3a, 4d, and 4c relating to matching, investigating, and experimenting.


2018 ◽  
Author(s):  
Carolina da Motta ◽  
Célia Barreto Carvalho ◽  
Paula Castilho ◽  
Michele T. Pato

The current study aimed to explore the psychometric properties of the Portuguese version of the brief Situational Test of Emotional Management (STEM-B) using Item Response Theory (Rasch Model) in a sample of 899 participants from the general population.


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