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'mathematics' Search Results

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Our goal for this article is two-fold: 1) to examine the efficacy of participatory concept mapping as an integration tool for mixed methods research (MMR), and 2) to explore, using concept mapping, pre-service teachers’ epistemic cognition (EC) and its relationship to teaching orientation (TO).  Using a combined developmental and dimensional framework, preservice teachers’ (N=48) concept maps about their (EC) and (TO) were investigated.  Analyses revealed that the majority of the participants were consistent with the EC profiles of either: 1) absolutist, 2) multiplist, or 3) evaluativist.  Participants’ EC and TO were clearly linked and implications for learning, instruction, and teacher education are discussed. Finally, concept mapping was deemed an effective tool for MMR especially as it pertains to integration.

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10.12973/ijem.5.2.247
Pages: 247-264
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486
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In this study, it was aimed to investigate the relationship between the art interests and critical thinking dispositions of the students who study fine arts education in the faculty of education. The sample of the research consisted of 236 fine arts education students including 123 from the department of painting teaching and 113 from the department of music education. In the research, relational survey method was used. It was found in the research that the art interests of the students were at the level that can be considered as good. In addition, it was noticed that the average scores of critical thinking dispositions of the students were at moderate level. One of the findings obtained from the study was that there was no significant difference between the scores of art interest and critical thinking according to gender. Another finding was that art interests of the students in the music department were significantly higher compared with the scores of the students in the department of art education. In addition, a positive moderate level of relationship was found between the art interest and critical thinking, analyticity, inquisitiveness sub-dimensions; significantly low positive relationship with self-confidence, systematicity, searching truth and cognitive maturity sub-dimensions.

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10.12973/ijem.5.2.275
Pages: 275-287
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693
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945
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2

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This paper sought to look at collaboration as an effective tool for mathematics classroom instruction. Four preservice teachers in a qualitative case study taught mathematics to three senior secondary school classes in two secondary schools in Northern Nigeria for a period of 15 weeks spread over three years. During this period 12 students volunteered to participate in four focus group discussions on the effectiveness of the pedagogy in their classrooms. Observations, research journals and focus groups were used to collect data for the study. A Narrative approach to data analysis was used to analyses the data collected. The findings of the study suggested that, the preservice teachers had initial challenges introducing the framework into their classrooms, they, however, gradually adopted the pedagogy into their classroom teaching. The study suggested that the preservice teachers used collaborative groupings and higher ordered questions to foster collaboration among their students. Some benefits of this strategy were also highlighted from the study. Prominent among them was the effective teacher-student and student-student relationship, help students see mathematics problems as common problems and reduced the domineering attitude of mathematics teachers who see themselves as possessing the monopoly of knowledge. Other findings observed in the study include the replacement of the teacher-centered approach to teaching with a student-centered approach. Therefore, it is suggested that, if collaboration is introduced into Nigerian mathematics classrooms, the traditional teacher-controlled mathematics classroom instruction that has bedeviled our classrooms will be reduced, and a new student-centered learning approach will be put in place.

description Abstract
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10.12973/ijem.5.3.347
Pages: 347-361
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645
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1053
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12

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The aim of this research is to determine the misconceptions among 6th, 7th and 8th grade students about the order of operations in line with arithmetic expressions and posing and solving problems related to arithmetic expressions. The research has a mixed-method research design with concurrent-triangulation design. The study group for the research comprised a total of 240 students with 78 from 6th grade, 80 from 7th grade and 82 from 8th grade chosen with the simple random sampling method from schools located in a city in the Eastern Black Sea Region in Turkey. The research used a two-tier diagnostic test developed by the researcher to determine the misconceptions of students. According to the results of the research, it was determined that 6th, 7th  and 8th grade students performed arithmetic expressions from left to right without paying attention to order of operations, stated that only operations in brackets need to be performed first in terms of order of operations, did not pay attention to order of operation when writing or solving an arithmetic expression equal to a given number, and that students had difficulty posing a problem sentence involving arithmetic expressions and requiring order of operations.

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10.12973/ijem.5.3.363
Pages: 363-373
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1355
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1013
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3

Scopus

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Contemporary educational reforms, both in the fields of science and mathematics, highlight the importance of pre-service teachers’ preparation with regard to several meaningful standards. However, teachers’ own self-confidence in science and mathematics teaching are likely to influence their efforts. Framed within a growing body of research focusing on pre-service teachers’ efficacy beliefs in science and mathematics teaching, the present study attempts to investigate Greek pre-service primary teachers’ efficacy beliefs in science and mathematics teaching; and further examine whether there is a relationship between the two. Participants comprised 171 pre-service primary teachers, who were in their second (n = 55), third (n = 64) or fourth year (n = 52) of study and the majority were female (n = 148). Pre-service teachers were asked to complete a questionnaire consisting of the Science Teaching Efficacy Belief Instrument - Form B (STEBI-B) and the Mathematics Teaching Efficacy Belief Instrument (MTEBI). Principal component analyses and reliability analyses were performed for both instruments to examine their adaptation into Greek. According to the results, preservice teachers had medium to high scores in the personal efficacy and outcome expectancy scales, for both science and mathematics teaching. Minor differences in pre-service teachers’ scores were detected according to their year of study. Furthermore, pre-service teachers’ efficacy beliefs in science were strongly correlated with their efficacy beliefs in mathematics. In general, although pre-service teachers appeared to be confident and well-prepared to teach science and mathematics in classrooms, more effort is required to put the international education reform standards into practice.

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10.12973/ijem.5.3.375
Pages: 375-385
cloud_download 540
visibility 922
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540
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922
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7

Scopus

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Computational thinking is a way of thinking that covers 21st century skills and includes new generation concepts such as robotics, coding, informatics and information construction. Computational thinking has reached an important point especially in the field of science in line with the rapid developments in technology. Robotics applications, software-based activities, STEM (Science, Technology, Engineering, Math) education and problem-based studies are some of the areas where this thinking is used. In this study, which is based on this point, it is aimed to develop a scale for computational thinking. Exploratory sequential design, one of the mixed research methods, was used in the study. First of all, a detailed literature review was conducted and needs analysis was carried out. This study consists of two stages. In the first stage, exploratory factor analysis was performed and analyzed with SPSS 23 program. In the second stage, confirmatory factor analysis was performed and analyzed with LISREL 9.2 program. As a result of the study, the goodness of fit indexes of the scale was found. According to this; X2/df value 1.81; NNFI value 0.97; NFI value 0.93; CFI value 0.98; RMR value 0.05; SRMR value 0.04; AGFI value 0.91 and GFI value was found to be 0.93. When the reliability values of the study were examined, Cronbach’s Alpha value was found to be 0.86. As a result of the research, a computational thinking scale consisting of 3 factors and 30 items was developed. This scale was developed for prospective teachers and can be used at all levels of prospective teachers.

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10.12973/ijem.5.3.421
Pages: 421-432
cloud_download 1800
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1800
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1864
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6

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The aim of this study is to compare 2018 Science Course Curriculum (SCC), 2015 Trends in International Mathematics and Science Study (TIMSS) and 2018 High School Entrance Examination (HSE) in terms of content domains, cognitive domains and learning objectives. Qualitative research method, was used in this study. Data were analyzed using document review matrices to determine the similarities and differences between the objectives of SCC, TIMSS and HSE. SCC outcomes and HSE science questions were also classified according to TIMSS cognitive domains. Results show that the learning objectives of the fields of Physics, Biology and Earth Sciences of TIMSS are compatible with those of all grade levels of SCC and that the objectives of Chemistry are compatible with those of the seventh and eighth grades. Most of HSE questions are compatible with the objectives of SCC, however, the latest revision in the curriculum has introduced some eighth grade objectives to other grade levels. HSE science questions measure higher-level skills than TIMSS science questions. The subject domain of the “Organisms and Life” of SCC has the most learning objectives in the levels of “knowing” and “reasoning” while the subject domain of the “Physical Events” has the most learning objectives in the levels of “applying.” Besides, the seventh-, fifth- and eighth-graders have the most objectives in the levels of “knowing,” “applying,” and “reasoning,” respectively. It is hoped that the results will contribute the literature in improvement of science curricula and interpretation of national and international exams.

description Abstract
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10.12973/ijem.5.3.433
Pages: 433-449
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849
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1106
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2

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The purpose of this study is to evaluate the effects of Instructional Technologies and Material Design (ITMD) course on pre-service mathematics teachers’ attitudes, efficacy beliefs about using concrete materials, and their opinions regarding the material preparation process. A total of 73 pre-service teachers were participated in this study. The scale developed by Bakkaloglu was used to determine efficacy beliefs of pre-service teachers about using concrete materials, and the attitudes scale developed by Cetin, Bagceci, Kinay and Simsek was used to determine the attitudes towards ITMD course. A written form was also used to reveal the opinions of pre-service teachers regarding the material preparation process. The qualitative data collected from 16 pre-service teachers was analyzed with the MAXQDA. Using content analysis, codes and themes were created separately by the researchers and analyzed through several iterations. As a result of this study, positive changes were found in the attitudes and efficacy beliefs of pre-service teachers. The results obtained from the opinions of the pre-service teachers support this positive change. In other words, it is possible to argue that the attitudes of pre-service teachers towards the material development process changed positively with the positive change in the efficacy beliefs about preparing materials after taking the ITMD course.

description Abstract
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10.12973/ijem.5.3.451
Pages: 451-463
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815
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891
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3

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Teacher-made tests (TMT) are the most used instruments for assessment and evaluation. This study investigates the cognitive requirements, test construction errors, and item types of TMTs. Content analysis technique is used in order to analyze and classify TMT items based on TIMSS-2019 assessment framework and based on criteria that is constructed to determine test construction errors. The data is consisted of 548 items in 30 exam papers of 18 mathematics teachers from 13 distinct schools. The distribution of TIMSS-2019 cognitive demands of all TMTs indicates that there is a strong emphasis on knowing or applying cognitive domains, with a total percentage of 93. Since 83% of all questions are of multiple choice and 17% are constructed-response type, teachers mostly prefer multiple choice item type. Findings also reveal that except face validity, there are errors concerning test constructions. Consequently, it is suggested that teachers should give more care on preparing items of higher cognitive levels, on tests of mixed type items, and on tests that involve lesser construction errors for more reliable tests. Finally, it is also suggested that measurement and evaluation specialists should be employed in each school or in each local Ministry of National Education Authority at least, in order to support teachers, but if this is not possible in a close time, there must be in-service training programs on measurement and evaluation for teachers to participate in.

description Abstract
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10.12973/ijem.5.3.479
Pages: 479-488
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347
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721
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3

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This study describes the development and validation of a psychometrically-sound instrument, the Active Learning Strategies Inventory (ALSI), designed to measure learners’ perceptions of their active learning strategies within an active learning context. Active learning encompasses a broad range of pedagogical practices and instructional methods that connect with an individual learner's active learning strategies. In order to fulfill the study's goals, a conceptual framework on learners’ active learning strategies was developed and proposed, drawing upon the research literature on active learning. The development and construct validation of the Active Learning Strategies Inventory (ALSI), based on the conceptual and methodological underpinnings, involved identifying five scales of learners’ active learning strategies: engagement, cognitive processing, orientation to learning, readiness to learn and motivational orientation. An item pool of 20 items was generated following an extensive review of the literature, standardized card sorting procedures including confirmatory factor analysis and scale validation of a pilot (n = 407) survey. The ALSI scale demonstrated strong internal consistency and reliability with a Cronbach's alpha ranging from 0.81 to 0.87. High item loading scores from the factor analysis provided initial support for the instrument's construct validity of the five-factor model. The ALSI scale provides a reliable and valid method for researchers and academicians who wish to measure learners' perceptions of their active learning strategies within an active learning context. Finally, we discuss the implications and address the limitations and directions for future research.

description Abstract
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10.12973/ijem.7.1.201
Pages: 201-223
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1005
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1185
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5

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4

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“Mathematical knowledge for teaching” is a concept indicating the requirement for a specific kind of knowledge required to teach mathematics. Mathematical knowledge for teaching necessitates a more complex structure than what is required to carry out mathematical tasks and the knowledge to do that. The purpose of this study is to realize the adaptation of “Mathematical Knowledge for Teaching -Geometry (MKT-G)” Test that was initially conceived in English to Turkish (or to Turkish culture). During the adaptation process; after the translations of the items, focus group interviews were held with a group consisting of mathematics teacher educators and experienced mathematics teachers, and then the data from 243 elementary mathematics teachers was analyzed via  Item Response Theory (IRT). As a result of the analysis of the test items, psychometric values of the test items indicated that the items in the test performed well in Turkey. Besides, validity and reliability arguments were also tested. As a result, the Turkish version of the MKT-G test is highly reliable and valid to measure the teachers’ knowledge of teaching geometry.

description Abstract
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10.12973/ijem.5.4.547
Pages: 547-565
cloud_download 500
visibility 843
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500
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843
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4

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3

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In the current study, the problems posed by pre-service primary school teachers within the context of semi-structured problem formation were analyzed according to their type, cognitive structure, and content knowledge. A total of 134 pre-service primary school teachers attending a state university in Turkey participated in the current study designed in line with the case study design. The pre-service teachers were presented with a table and they were asked to establish a problem suitable for the elementary level using the data given in the table. The data were collected through the established problem statements and written explanations of the participants. The collected data were analyzed by using both content and descriptive analyses. The findings have revealed that the pre-service teachers less preferred real-life problems than routine type of problems and the problems at the level of reasoning than the problems at the levels of knowing and applying. Moreover, nearly half of the pre-service teachers erroneously expressed the grade level for which they established their problem. The results have shown that the pre-service teachers do not adequately use real-life problems and problems at the level of reasoning and that there are deficiencies in their mathematical content knowledge depending on their knowledge of the curriculum.

description Abstract
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10.12973/ijem.5.4.577
Pages: 577-590
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800
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931
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4

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4

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This study examines the effects of the SCAMPER technique-based educational activities in the simple machines unit of a science lesson on students' academic achievement, motivation and attitude. The study examines the effects of the simple machines unit activities in the science lesson through a paired quasi-experimental design, which is one of the quantitative research methods. The sample group of the research consists of 33 eighth-grade students studying in a middle school in the Ortaköy district of the Aksaray province in 2018–2019. The research uses simple random sampling method. The experimental group was given SCAMPER-based activities in the simple machines unit for 4 hours a week with a total of 16 hours, and lessons were conducted with the control group in line with the curriculum. To collect data within the framework of the research, the 'attitude scale towards science lesson', scale for 'students' motivation towards science learning' and 'simple machines unit achievement test' were used. As a result, when compared to the control group, there was a significant difference in the academic achievement and motivation of the experimental group who performed SCAMPER-based activities in the simple machines unit of the science lesson. There was no significant difference between the attitude scores of the experimental and control group as a result of the study.

description Abstract
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10.12973/ijem.7.1.155
Pages: 155-170
cloud_download 571
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571
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803
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5

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The purpose of the current study is to determine pre-service teachers’ perception of individual entrepreneurship and opinions about their critical thinking tendency. As the data collection tools, the Individual Entrepreneurship Perception Scale and the Marmara Creative Thinking Tendencies Scale were used in the current study. The participants of the study are 469 freshman, sophomore, junior and senior students attending the Departments of Pre-school Teacher Education and Primary School Teacher Education. In the analysis of the collected data, frequencies, percentages, independent samples t-test, Mann Whitney U test and correlation analysis were employed. The findings obtained from the analyses have revealed that the pre-service teachers’ individual entrepreneurship perceptions and creative thinking tendencies vary significantly depending on the variables of gender and whether they took a course/seminar on entrepreneurship. The pre-service teachers’ individual entrepreneurship perceptions and creative thinking tendencies were found to be not varying significantly depending on the department attended. The pre-service teachers’ personal entrepreneurship perceptions and creative thinking tendencies were found to be above medium. A highly positive and significant correlation was found between the pre-service teachers’ individual entrepreneurship perception and creative thinking tendency total scores. The pre-service teachers can be encouraged to take the course “Economics and Entrepreneurship” and to participate in certificate programs on entrepreneurship.

description Abstract
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10.12973/ijem.5.4.591
Pages: 591-606
cloud_download 654
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654
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994
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7

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3

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The purpose of the current study is to investigate middle school students’ self-regulation skills and vocabulary learning strategies in foreign language. The sampling of the current study consists of 990 5th, 6th, 7th and 8th grade middle school students attending state middle schools in the Mentese district of the city of Mugla, Turkey in school year 2018-2019. As the data collection tools, the Perceived Self-Regulation Scale and the Vocabulary Learning Strategies in Foreign Language Scale were used. In the analysis of the collected data, frequencies, percentages, independent-samples t-test and one-way variance analysis (ANOVA), Post-Hoc Tests (Tukey and Dunnett’s C) and correlation analysis were used. The findings of the present study have revealed that the middle school students’ self-regulation skills and vocabulary learning strategies in foreign language are over the medium value. The middle school students’ self-regulation skills and vocabulary learning strategies in foreign language were found to vary significantly depending on gender, grade level, father-mother attitude and level of interest in English course. A medium, positive and significant correlation was found between the middle school students’ total scores of self-regulation strategies and vocabulary learning strategies in foreign language.

description Abstract
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10.12973/ijem.6.1.25
Pages: 25-42
cloud_download 1290
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11
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1290
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2551
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11

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Two new instruments were created to assess secondary students’ (ages 14-18) spatial learning attitudes and their interest in science and technology, related careers ideas and perceptions about geospatial technologies. These instruments were designed to evaluate the outcomes of a geospatial learning curriculum project. During a two-year period, we explored the use of these instruments during the prototype testing and pilot testing of a series of socio-environmental science investigations. The instruments were implemented with 664 ninth grade urban students from a population traditionally underrepresented in STEM-related fields. Both classical and Rasch analyses were conducted each year to optimize the instruments. The resulting 24-item Student Interest in Science, Technology and Geospatial Technology (STEM-GEO) measure and 9-item Spatial Learning Attitudes (SLA) measure had high internal consistency reliabilities (Cronbach’s Alpha) as well as acceptable Rasch reliabilities. Content validity and construct validity evidence were also summarized and discussed.

description Abstract
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10.12973/ijem.6.1.67
Pages: 67-81
cloud_download 626
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626
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873
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6

Scopus

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This study aimed to develop an instructional design that focuses on programming teaching for gifted and talented students and to investigate its effects on the teaching process. During the development of the instructional design; the steps of Morrison, Ross and Kemp Instructional Design Model were followed. Embedded experimental design, one of the mixed-method research designs, was used in the modeling of the study. The participants consisted of students studying at the Science and Art Center (BILSEM) (experimental group: 13 girls and 12 boys, control group: 10 girls and 15 boys). While the instructional design developed by the researchers was applied to the gifted and talented students in the experimental group, the standard activities used in Information Technologies and Software Courses at BILSEM were applied to the gifted and talented students in the control group. “Computational Thinking Scale (CTS)”, “Torrance Creative Thinking Test (TCTT-Figural)” and “Computer Programming Self-Efficacy Scale (CPSES)” were used to collect the data of the quantitative phase of the study. Qualitative data were gathered by using interview form, observation forms, and design thinking rubric. Two-Factor ANOVA Test, Bonferroni Adjustment Multiple Comparisons Test, and interaction graphs were used to analyze quantitative data while qualitative data were analyzed by content analysis. The quantitative results of the research showed that the instructional design was effective on students' computational thinking and creative thinking skills, but not on programming self-efficacy. Qualitative findings revealed that the instructional design helped the students learn the computational concepts, use computational applications, and develop computational-perspectives. Also, students improved their design thinking skills to a certain level and expressed that they enjoyed the design thinking process, learned the course content, and experienced some difficulties.

description Abstract
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10.12973/ijem.6.1.161
Pages: 161-183
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1385
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1102
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10

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STEM education is a pedagogical philosophy which aims to draw the interrelationship between science, technology, engineering and mathematics to solve complex problems in real life situations. In order to use STEM education to foster students’ learning, the researchers designed STEM activities for middle school students related to the concept of force and motion in three different approaches: a linear model, a jigsaw learning and a stand-alone engineering design activity. To compare the effectiveness of the three approaches, the researchers analysed students’ reasoning and problem-solving scores gained before and after doing the activities. The result showed students participating in the linear model and in the jigsaw learning significantly outperformed those in the stand-alone engineering design activity. In addition, when comparing conceptual development between those attending the linear model and jigsaw learning, the result showed that the former significantly outperformed the latter. It is therefore suggested that to maximise the effectiveness of STEM activities in promoting conceptual understanding as well as reasoning and problem-solving skills, teachers should adopt the linear model. However, when instructional time is limited, the jigsaw learning can be considered as an alternative approach. The stand-alone engineering design activity although can promote students’ enthusiasm to learn, it may not sufficiently lead to the development of reasoning and problem-solving skills as expected.

description Abstract
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10.12973/ijem.6.1.185
Pages: 185-198
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1467
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13

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Kelley’s Discrimination Index (DI) is a simple and robust, classical non-parametric short-cut to estimate the item discrimination power (IDP) in the practical educational settings. Unlike item–total correlation, DI can reach the ultimate values of +1 and ‒1, and it is stable against the outliers. Because of the computational easiness, DI is specifically suitable for the rough estimation where the sophisticated tools for item analysis such as IRT modelling are not available as is usual, for example, in the classroom testing. Unlike most of the other traditional indices for IDP, DI uses only the extreme cases of the ordered dataset in the estimation. One deficiency of DI is that it suits only for dichotomous datasets. This article generalizes DI to allow polytomous dataset and flexible cut-offs for selecting the extreme cases. A new algorithm based on the concept of the characteristic vector of the item is introduced to compute the generalized DI (GDI). A new visual method for item analysis, the cut-off curve, is introduced based on the procedure called exhaustive splitting.

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10.12973/ijem.6.2.237
Pages: 237 - 258
cloud_download 835
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835
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1014
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6

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A new index of item discrimination power (IDP), dimension-corrected Somers’ D (D2) is proposed. Somers’ D is one of the superior alternatives for item–total- (Rit) and item–rest correlation (Rir) in reflecting the real IDP with items with scales 0/1 and 0/1/2, that is, up to three categories. D also reaches the extreme value +1 and ‒1 correctly while Rit and Rir cannot reach the ultimate values in the real-life testing settings. However, when the item has four categories or more, Somers’ D underestimates IDP more than Pearson correlation. A simple correction to Somers’ D in the polytomous case seems to lead to be effective in item analysis settings.  In the simulation with real-life items, D2 showed very few cases of obvious underestimation and practically no cases of obvious overestimation. With certain restrictions discussed in the article, D2 seems to be a good alternative for these classic estimators not only with dichotomous items but also with the polytomous ones. In general, the magnitudes of the estimates by D2 are higher than those by Rit, Rir, and polychoric correlation and they seem to be close of those of bi- and polyserial correlation coefficients without out-of-range values.

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10.12973/ijem.6.2.297
Pages: 297-317
cloud_download 369
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369
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826
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8

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