Predicting the Mathematical Abstraction Processes Using the Revised Bloom’s Taxonomy: Secondary School 7th Graders

In this study, it was investigated whether it would be possible to observe abstraction processes of secondary school 7th graders using the Revised Bloom’s Taxonomy. For this purpose, eight students participated in the study. The study was conducted at a state secondary school in Turkey. Purposeful sampling method was used in the selection of students and different students were examined by their achievement levels. The research was modeled as a case study and the data were obtained through interviews. Therefore, the data were collected through an interview form developed by the researchers. The collected data were analyzed according to descriptive analysis method. The findings show that the abstraction process differs according to the dimensions of the taxonomy. Accordingly, it was determined that a student who abstracts information should behave at least at the application level in the cognitive level and at least at the conceptual knowledge level in the knowledge dimension. It was also considered that the Revised Bloom’s Taxonomy categorized the cognitive mechanisms required by abstraction processes thoroughly. Supporting this study with quantitative data is suggested so that the findings may become more significant. Keywords: mathematical abstraction, mathematics education, equations, Revised Bloom’s Taxonomy, APOS theory

Konstruksi Kerangka Konseptual Peranan Roh Kudus dalam PAK Menggunakan Taksonomi Bloom yang Diperbarui

A learning process is aimed toward outcomes. The desired outcomes are the initial point to construct the proper conceptual framework to describe the theoretical foundation of research. Spirituality and spiritual behaviour are two outcomes that Christian Education thinkers agreed upon from Old Testament to now. The meeting between Greeco-Roman and Jewish culture had somewhat changed the trajectory of how Christian Education developed. The Greek cognitive-based learning has influenced the initial Christian Education which is Jewish learning system. This article attempts to describe how spirituality, spiritual behaviour, and spiritual knowledge serve as the ultimate outcomes of Christian Education. The description will fit with the role of the Holy Spirit in the overall process of Christian Education in any given scope. As a result, this article will construct a conceptual framework that can be utilized further to design a biblical curriculum that is not merely cognitively measurable but also to provide an intentional outcome of spirituality and spiritual behaviour. The revised Bloom’s taxonomy will be used to bridge both worlds: the cognitive, and non-cognitive. In conclusion, this article shows that the supernatural work of Holy Spirit is not against the natural work of Holy Spirit through teacher and student relationships in Christian Education, but both work together. AbstrakProses pembelajaran ditujukan untuk mencapai suatu hasil. Hasil yang diinginkan merupakan titik awal untuk membangun kerangka konseptual yang tepat untuk mendeskripsikan landasan teoritis sebuah penelitian. Spiritualitas dan perilaku spiritual adalah dua hasil yang disepakati oleh para pemikir pendidikan Kristen dari zaman Perjanjian Lama hingga sekarang. Pertemuan antara budaya Yunani-Romawi dan Yahudi telah mengubah lintasan (trajectory) Pendidikan Kristen berkembang. Pembelajaran berbasis kognitif Yunani telah mempengaruhi sistem pembelajaran Yahudi. Artikel ini mencoba untuk menjelaskan bagaimana spiritualitas, perilaku spiritual, dan pengetahuan spiritual berfungsi sebagai hasil akhir dari Pendidikan Kristen. Hasil akhir tersebut dapat menggambarkan secara konseptual peran Roh Kudus dalam keseluruhan proses Pendidikan Kristen dalam lingkup apa pun. Sebagai hasil akhir, artikel ini akan menyajikan bangunan kerangka konseptual yang dapat digunakan lebih jauh untuk merancang kurikulum alkitabiah yang tidak hanya dapat diukur secara kognitif, tetapi juga untuk memberikan hasil yang disengaja dari spiritualitas dan perilaku spiritual. Taksonomi Bloom yang telah direvisi akan digunakan untuk menjembatani kedua dunia: kognitif dan non-kognitif. Artikel ini menunjukkan bahwa pekerjaan supernatural Roh Kudus tidak bertentangan dengan pekerjaan alami Roh Kudus melalui hubungan guru dan murid dalam pendidikan Kristen, tetapi keduanya bekerja sama.

Revisi taksonomi Bloom: Kognitif, afektif, dan psikomotorik

Revisi taksonomi Bloom menitikberatkan pada (1) perubahan aplikasi yang terdiri dari tiga bidang yaitu aplikasi bidang penyusunan kurikulum, aplikasi bidang instruksi pengajaran, aplikasi bidang assesment/ penilaian; dan (2) perubahan terminologi yang menekankan pada sub kategori sehingga penilaian menjadi lebih spesifik, mudah dalam menyusun penilaian pada kurikulum, serta mudah dalam menyusun instruksi pengajaran. Revisi taksonomi Bloom juga mengubah kata kunci operasional dari kata benda menjadi kata kerja dari level terendah sampai dengan level tertinggi.Terdapat perubahan yang sangat signifikan pada revisi taksonomi Bloom di domain kognitif yang terdiri dari dua dimensi yaitu dimensi pengetahuan dan dimensi proses kognitif. Dimensi pengetahuan berubah menjadi faktual, konseptual, prosedural, metakognisi. dimensi proses kognitif baru menjadi mengingat, memahami, mengaplikasikan, menganalisis, mengevaluasi, dan mencipta. Domain afektif meliputi rasa, nilai, apresiasi, antusiasme, motivasi, dan sikap tercermin pada perilaku/ attitude sehari-hari pada proses pembelajaran baik di dalam kelas maupun di luar kelas. Domain psikomotorik dirumuskan sebagai serangkaian kemampuan yang bersifat kongkrit dan abstrak. Bloom's taxonomic revision focuses on (1) application changes that consist of three fields, namely the application of curriculum development. application of teaching instruction area, application of assessment/ assessment field; and (2) changes in the terminology emphasizing sub-categories so that assessment becomes more specific, it is easy to arrange assessments in the curriculum, and easy to arrange instructions teaching. Revised Bloom's taxonomy also changed the operational keywords from words to verbs from the lowest level to the highest level. There is a very significant change in Bloom's revised taxonomy in the cognitive domain which consists of two dimensions, namely the dimension of knowledge and the dimension of cognitive processes. The dimension of knowledge changes into factual, conceptual, procedural metacognition. the dimension of the new cognitive process becomes remembering, understanding apply. analyze, evaluate and create. Affective domain includes taste, value, appreciation, enthusiasm, motivation. and attitudes are reflected in behavior everyday in the learning process both in the classroom and outside the classroom. Domain psychomotor formulated as a series of abilities that are concrete and abstract.

A Literature Review on Automatic Generation of Examinations

The examination is a key activity in determining what the learner has gained from the study. Institutions of higher learning (IHL) perform this activity through various assessment methods (test/examination, practical, etc.). The world today is focused on automation of exam generation which is ongoing with dire need during this period of the COVID-19 pandemic when education is greatly affected, leading to embracing online learning and examination. A text/exam comprises questions and answers that focus on evaluation to determine the student’s conversant level in the area of study. Each question has a cognitive level as described by (Armstrong, 2016) in the revised Bloom’s taxonomy. Questions chosen have cognitive levels based on the level of study and standardization of the exam. There is, therefore, a need to consider the question’s cognitive level along with other factors when generating an examination by incorporating deep learning algorithms.

COFCOE: Continuous Oral Feedback Continuous Oral Evaluation for Continuous Active Learning in Outcome Based Education, Teaching, Learning and Evaluation (OBTLE)

A new and extremely effective teaching-learning-assessment methodology is introduced for continuous active learning in outcome based education (Teaching, Learning and Evaluation-OBTLE). This method addresses the modern methods of education like personalized learning, participatory learning, peer evaluation, revised Bloom's Taxonomy, and all graduate Attributes including the corresponding competencies and performance indicators. Most importantly this method encourages socratic questioning which facilitates inquiry based learning, which is being projected as the future of learning in any context. The method may be extremely useful to identify and take remedial measures for students who may need additional attention from teachers.

HOTS in Reading Activities of Modules 1 to 5 Easy English for Package B

Package B uses a flexible learning principle. The learning process uses a modular learning system. Learning used the latest modules based on the 2013 Curriculum Equivalency Education. This study belongs to qualitative research. The research method is content analysis. This study attempts to analyze the incorporation of analyzing level and evaluating level in reading activities presented in Modules 1-5 Easy English for Package B by referring to Revised Bloom's Taxonomy. The research participants are three English Tutors of Package B. From 168 reading activities, there are 164 LOTS reading activities or 97% and only 4 HOTS reading activities or 3%. The detail is one analyzing reading activity in Module 3, one evaluating level reading activity in Module 1, one evaluating level reading activity in Module 2, and one evaluating level reading activity in Module 3. The knowledge dimensions found in HOTS reading activities are factual and conceptual. The details are a factual knowledge reading activity in Module 1 and three conceptual knowledge reading activities in Module 2 & 3. The result of this study is expected to benefit English tutors to improve or add supplementary materials and reading activities from other sources, the module's author to develop HOTS reading activities in the module, and further researcher to conduct research related to the effectiveness and development of reading activities.

LEVELS OF COGNITIVE DOMAIN OF TASKS IN ENGLISH TEXTBOOKS FOR SENIOR HIGH SCHOOL: A REVISED BLOOM’S TAXONOMY ANALYSES

This study is a descriptive qualitative which aims to know the appropriateness of the textbook’s content with the cognitive dimension of Revised Bloom’s Taxonomy and to know the dominant cognitive category of the Revised Bloom’s Taxonomy in the textbook. This research was focused on analyzing the English Textbook, “Pathway to English”, which is published by Erlangga. The data was analyzed through data analysis table to categorize the activity with defined as any one of the following: a question or instructional activity, based on cognitive dimension. The result showed that there are 271 activities in the textbook. The activities spread over 105 (38.7%) remembering, 76 (28%) understanding, 48 (17.7%) applying, 28 (10.3%) analyzing, 7 (2.6%) evaluating, and 7 (2.6%) creating. The total number of activities that included to HOTS are 42 activities or 15.5% and the activities that included to LOTS are 229 activities or 84.5%. The most dominant activity was remembering which the lowest dimension of cognitive level of Revised Bloom Taxonomy. Then, the number of LOTS and HOTS activities in each chapter are very different. Hence, it is not enough if the teacher just only uses the English textbook as a teaching tool to improve students HOTS ability.

Exploring Students’ Learning of Integral Calculus using Revised Bloom’s Taxonomy

<p>Integral calculus is one of the topics involved in mathematical courses both at secondary and tertiary level with several applications in different disciplines. It is part of gateway mathematical courses at universities for many majors and important for the development of the science. Several studies had been undertaken for exploring students’ learning of integral calculus, both at the secondary and tertiary level, using a variety of frameworks (e.g., Action-Process-Object-Schema (APOS) theory (Dubinsky, 1991). However, students’ learning of integral calculus has not been explored in terms of metacognitive experiences and skills, and the number of studies which have explored metacognitive strategies in relation to the students’ learning of integral calculus is limited. Therefore, this study used Revised Bloom’s Taxonomy (RBT) (Anderson et al., 2001), Efklides’s metacognition framework (Efklides, 2008), and an adaptation of VisA (Visualization and Accuracy) instrument (Jacobse & Harskamp, 2012) for exploring students’ learning of integral calculus. A multiple case study approach was used to explore students’ learning of the integral-area relationships and the Fundamental Theorem of Calculus in relation to the RBT’s factual, conceptual, and procedural knowledge, and the facets of metacognition including metacognitive knowledge, experiences, and skills. The study sample comprised of nine first year university and eight Year 13 students who participated in individual semi-structured interviews answering nine integral calculus questions and 24 questions related to the RBT’s metacognitive knowledge. Integral calculus questions were designed to address different aspects of RBT’s knowledge dimension and activate RBT-related cognitive processes. A think aloud protocol and VisA instrument were also used during answering integral calculus questions for gathering information about students’ metacognitive experiences and skills. Ten undergraduate mathematics lecturers and five Year 13 mathematics teachers were also interviewed in relation to the teaching and learning of integral calculus to explore students’ difficulties in the topic. The entire teaching of integral calculus in a first year university course and a Year 13 classroom were video recorded and observed to obtain a better understanding of the teaching and learning of integral calculus in the context of the study. The study findings in terms of the RBT’s factual knowledge show several students had difficulty with notational aspects of the Fundamental Theorem of Calculus (FTC) (e.g., Thompson, 1994) whereas this issue was not dominant for the definite integral. In relation to the RBT’s conceptual and procedural knowledge for both topics, conceptual knowledge was less developed in students’ minds in comparison to procedural knowledge (e.g., students had not developed a geometric interpretation of the FTC, whereas they were able to solve integral questions using the FTC). The obtained results were consistent with previous studies for these three types of knowledge. The study contributes to the current literature by sharing students’ metacognitive knowledge, experiences and skills in relation to integral calculus. The findings highlight some student learning, monitoring, and problem-solving strategies in these topics. A comparison between University and Year 13 students’ results showed students across this transition had different factual, conceptual, procedural, and metacognitive knowledge in these topics. For instance, University students in the sample use online resources more often than Year 13 students, are more interested in justifications behind the formulas, and have more accurate pre and post-judgments of their ability to solve integral questions. The information obtained using questions based on RBT and the metacognition framework indicates that these two together may be very useful for exploring students’ mathematical learning in different topics.</p>

Cognitive Level Analysis of Problems in Mathematics Textbook Class XII Revision 2018 Materials of Congress and Construction Based on the Revised Bloom Taxonomy

This study aims to describe the distribution of cognitive levels of questions in the 2018 Revised Class XII Mathematics Textbook for Congruence and Similarity Based on Bloom's Taxonomy. Bloom's Taxonomy used is a revised Bloom's Taxonomy with cognitive process dimensions consisting of: remembering(C1), understanding(C2), applying(C3), analyzing(C4), evaluating(C5), and creating(C6). This type of research was descriptive research with a qualitative approach. Sources of data in this study were questions about the material congruence, similarity and competency test questions contained in the mathematics textbooks of class XII students. The research was carried out with the method of collecting documentation data and using research instruments in the form of analysis sheets and analysis conformity sheets. The results showed that the distribution of the cognitive level of questions on the congruence and similarity material contained the cognitive level of understanding(C2) as much as 18.2%, applying(C3) as much as 50% and analyzing(C4) as much as 31.8%, with the dominant cognitive level being cognitive level of applying(C3) and does not include cognitive levels of remembering(C1), evaluating(C2) and creating(C6). So it was found that the distribution of the cognitive level of the questions on the material of congruence and similarity topic did not vary or was not proportional. with the dominant cognitive level being cognitive level of applying(C3) and does not include cognitive levels of remembering(C1), evaluating(C2) and creating(C6). So it was found that the distribution of the cognitive level of the questions on the material of congruence and similarity topic did not vary or was not proportional. with the dominant cognitive level being cognitive level of applying(C3) and does not include cognitive levels of remembering(C1), evaluating(C2) and creating(C6). So it was found that the distribution of the cognitive level of the questions on the material of congruence and similarity topic did not vary or was not proportional. Keywords: Mathematics Textbook, Congruence, Similarity, Question, Revised Bloom's Taxonomy, Cognitive Level.