Mathematical Issues in Two-Dimensional Arithmetic for Analyze Students' Metacognition and Creative Thinking Skills

Abstract

This study aimed to analyze the level of students' metacognition skills and creative thinking in the generalization of a two-dimensional arithmetic sequence. A qualitative descriptive is a scientific approach used in this study. Students' of the Mathematics Education Study Program in Tarbiyah Faculty of Ibrahimy University are subjects in the study. Through this article, the author will describe the results of the research in the combinatorics course. The initial data was collected by assigning open problem-solving assignments to students and conducting documentation studies on students in generating arithmetic generalization patterns based on function formulae. Then, students are assigned to complete the second task, which is to compile a two-dimensional arithmetic sequence based on the multilevel function formula of arranged arithmetic. The analysis model of Miles and Huberman is the analytical methodology used in this study. The collected data indicated that the level of students’ creative thinking skills in combinatorics could be in the category of creative enough (16.67%), creative (50%), and very creative (33.33%). While the other analyzed data showed that the student’s level of metacognitive on level 3 (77.78%) and the remainder on level 4 (22.22%). These analysis results are influenced by several factors such as accuracy in compiling numbers and expanding data, conceptual mastery of arithmetic progression permutation concept, and its application, the tendency of students’ to rely on memorization and imitation of the examples.

Mathematics Problem Solving Based on Cognitive Style to Determine of Student Reasoning Abilities in the Covid-19 Pandemic Era

“…Overall the difference in average and angain in the FD and FI group can be seen in Figure 3 below: The following table is the result of the achievement analysis of the cognitive style level of independent and dependent fields in solving algebraic problems based on the categories of mathematical reasoning indicators in general: Based on the data presented in table 8, the level of students mathematics reasoning ability in the FD group are 2 students (7,14%) in not capable category (level 0), 9 students (32,14%) are in the less capable category (level 1), 8 students (28,57%) are in the capable enough category (level 2), 5 students (17,86%) are in the capable category, and 4 students (14,29%) are in the very capable category. This is following the opinion of Tohir et al that the thinking ability in identifying and constructing formulas in mathematics is needed to foster students' understanding to the material and produce meaningful learning (Tohir & Muhasshanah, 2021;Tohir, Maswar, Atikurrahman, Saiful, & Rizki Pradita, 2020;Tohir, Abidin, Dafik, & Hobri, 2018). The result of this study has strengthened the result of the research conducted by Mirlanda & Pujiastuti that by knowing the different types of students 'cognitive styles and their characteristics, mathematics learning activities must be designed in such a way to foster and develop student's mathematics reasoning ability (Mirlanda & Pujiastuti, 2018).…”

Analysis of Mathematical Creative Thinking Ability in Problem-Solving in Terms of Adversity Quotient

“…According to Tohir, It is one of the essential thinking skills for students to have a more meaningful learning experience and improve their thinking skills in solving everyday problems [8]. In this study, in line with Fauziah and Febriyanti, creative thinking ability is measured using three criteria for creativity: fluency, flexibility, and originality [9,10]. Fluency refers to a student's ability to produce varied and correct answers to a given problem.…”

Students' Mathematical Creative Thinking: A Systematic Literature Review With Bibliometric Analysis

“…The network visualization of these findings is presented as shown in Figure 3. Papers metacognition levels (Tohir, 2019) and students' creative thinking skills in solving Olympic problems Based on Problem-Solving Polya and Krulik-Rudnick Models (Tohir et al, 2018). The selected articles were also analyzed for the number of citations per paper to determine which articles were the most productive.…”