Analysis of Junior High School Student’s Mathematical Reasoning Ability in Solving Non-routine Problems on Material of Two-variable Linear Equation Systems

Abstract

Reasoning ability encourages students to think logically, so it is a very important part in learning process. This qualitative descriptive study aims to determine the mathematical reasoning ability of Junior High School students in solving non-routine problems of the two-variable linear equation systems material. The subjects were 6 students of class VIII.7 SMP Negeri 17 Palembang. Due to Covid-19, the research was conducted online using test and interviews, and analyzed descriptively. The results showed that of the 7 indicators of mathematical reasoning ability used, high-capable subjects fulfill almost all indicators. Indicators are not fulfilled in namely posing an assumption, perform mathematical manipulation, draw conclusions, compile evidence, provide reasons or evidence for the correctness of the solution to problem 1 and find patterns or properties of mathematical phenomena that will be generalized to problem 2. Indicators that are not fulfilled in medium-capable are perform mathematical manipulation, draw conclusions, compile evidence, provide reasons or evidence for the correctness of the solution and find patterns or properties of mathematical phenomena that will be generalized to problem 2. Students with low-capable still not dominant and only permit indicators to present oral, written, picture and diagram math statement and draw conclusions from those statements.

Mathematical Reasoning Abilities During Pandemic Covid-19 : Literature Riview

“…Other studies show the opposite where students' arithmetic and mathematical reasoning abilities are quite good. Likewise, junior high school students seem to have a fairly good flow (Pamungkas & Sutarni, 2021), (Pratiwi et al, 2021), (Ramadhany, 2021). Indicators of mathematical reasoning abilities that are less mastered by students are drawing conclusions from a statement, assessing argument validation, and making generalizations (Novianda et al, 2021), (Nurazizah & Zulkardi, 2022).…”

Developing Student Worksheets Based on Problem Posing Approach to Improve Students' Reasoning Ability

“…Reasoning is an essential cognitive aspect of learning mathematics, especially in solving mathematical problems. Reasoning can help students solve the problems they face by encouraging them to think logically when making decisions based on past and present clauses and create new stories that are considered true (Pratiwi et al, 2021). Reasoning can also invite students to communicate thoughts and make connections between ideas and concepts in mathematics (Brodie, 2010).…”

“…Mathematical reasoning abilities encourage students to think logically, which is an integral part of the mathematics learning process. A person who has mathematical reasoning abilities is shown by indicators which include being able to (1) present verbal, written, mathematical statements, pictures, and diagrams, (2) propose assumptions, (3) carry out mathematical manipulations, (4) draw conclusions, compile evidence, provide reasons or proof of the correctness of the solution, (5) drawing conclusions from the statement, (6) checking the validity of the argument, (7) finding patterns or properties of mathematical phenomena to make generalizations (Pratiwi et al, 2021). Therefore, mathematical reasoning ability is the ability to think logically by connecting known facts, which means the ability to express hypotheses and ideas in the form of mathematical sentences, do mathematics, and make decisions.…”