scholarly journals PROFILE OF HIGH SCHOOL STUDENTS REFLECTIVE THINKING IN SOLVING ALGEBRA PROBLEMS VIEWED FROM MATHEMATICAL ABILITY

MATHEdunesa ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 59-68
Author(s):  
Dyah Ayu Puspita Ardani
Keyword(s):  
High School ◽  
High School Students ◽  
Reflective Thinking ◽  
Mathematical Problem ◽  
Female Gender ◽  
Mathematical Ability ◽  
School Students ◽  
Mathematical Abilities ◽  
Ability Tests ◽  
Low Ability

This study aims to describe students' reflective thinking in solving algebraic problems with different mathematical abilities. This study used reflective thinking components by Surbeck, Han, and Moyer, including reacting, elaborating, and contemplating. This study was descriptive qualitative research that used a qualitative approach. The instruments in this study were mathematical ability tests, mathematical problem-solving tests, and interview guidelines. This study was conducted by selecting three subjects from 31 students of SMAN 1 Pacet with female gender who have high, medium, and low mathematical abilities. This study's results were at the reacting stage; the three students analyzed what was known and asked according to the information provided, analyzed the relationship between what was known and asked, and reasons. At the elaborating stage, the three students were able to analyze the theory used. High and low-ability students have encountered similar questions. Medium ability students admitted that they had never met similar questions but examined the differences. High and medium-ability students explain the results obtained in detail at the contemplating stage, check their results, and make conclusions. Low ability students only explain part of the solution because they cannot find the solution. They try to correct their mistakes but give up, so they do not make conclusions. For low-ability students, the teacher can provide practice questions that trigger reflective thinking to solve math problems correctly and improve their weaknesses. Keywords: reflective thinking, mathematics problems, high school algebra, mathematical ability.

scholarly journals The Decision Making Process of High School Students with High Mathematical Ability in Solving Social Arithmetic Problems

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 194-201
Author(s):  
Mochamad Yusuf ◽  
Rooselyna Ekawati
Keyword(s):  
High School ◽  
Decision Making ◽  
High School Students ◽  
Mathematical Ability ◽  
Decision Making Process ◽  
School Students ◽  
Mathematical Abilities ◽  
Mathematics Ability ◽  
Ability Tests ◽  
The Subject

The decision making process is the individual steps in choosing an appropriate alternative choice from the various alternatives available to solve the problem. The purpose of this study is to describe the decision making process of high school students with high mathematical abilities in solving social arithmetic problems. The research approach used in this study is qualitative research. While the type of research is a qualitative descriptive study. The process of collecting data uses several instruments consisting of mathematics ability tests, social arithmetic problem solving tests, and interview guidelines. This research was conducted on 11th grade high school students in one of the state high schools in Sidoarjo. The subjects of this study consisted of one student with high mathematical abilities. The data collection method in this study began with the provision of mathematics ability tests for all students followed by selecting one subject with high mathematical ability through several considerations. The next step, the subject is given a problem solving test and interviewed to get the decision making process carried out by the subject. The results showed that students with high mathematical abilities carried out a series of activities in the stages of the decision making process, namely define the decision, understand the context, identify the options, prioritise the options, evaluate the consequences, review the decisions, and take actions.

scholarly journals The Pseudo Thinking Profile of Senior High School Students In Solving Mathematical Problems Reviewed from Mathematical Ability

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 172-184
Author(s):  
Ni Komang Hesti Tri Widari ◽  
Susanah Susanah
Keyword(s):  
High School ◽  
High School Students ◽  
Mathematical Concept ◽  
Mathematical Ability ◽  
School Students ◽  
Mathematics Ability ◽  
Ability Tests ◽  
Mathematical Problems ◽  
The Individual ◽  
Thinking Errors

In solving problems, students often experience thinking errors, one of which is pseudo thinking. Pseudo thinking is errors of thinking, wherein the individual process of solving a problem it is not the result of real thinking. Mistakes of thinking like this need attention and must be immediately addressed so as not to impact on students' understanding of the next mathematical concept. This study is a descriptive exploratory with a qualitative approach, aims to describe and explore the pseudo thinking profile of high school students with different mathematical abilities. The subjects in this study consisted of, one with high mathematical ability, one with moderate mathematical ability, and one with low mathematical ability. Data collection techniques were carry out by giving mathematics ability tests (TKM) and interviews. Data analysis was perform based on pseudo-thinking indicators (pseudo-right thinking and pseudo-wrong thinking). It was found that, subjects with high mathematical ability tend to be able to experience pseudo-right thinking and pseudo-wrong thinking. Subjects with moderate mathematical ability tend to be able to experience pseudo-right thinking, while subjects with low mathematical ability tend to be able to experience pseudo-wrong thinking.aKeywords: thinking mistakes, pseudo thinking, problem-solving, mathematical ability

scholarly journals PROSES BERPIKIR REFLEKTIF SISWA SMA DALAM MENYELESAIKAN SOAL CERITA MATEMATIKA DITINJAU DARI KEMAMPUAN MATEMATIKA

MATHEdunesa ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 311-318
Author(s):  
Safiroh Fauziyah
Keyword(s):  
High School ◽  
High School Students ◽  
Qualitative Study ◽  
Data Distribution ◽  
Mathematical Ability ◽  
Research Subjects ◽  
School Students ◽  
Collection Method ◽  
Mathematical Abilities ◽  
Statistical Problems

Being someone literate by statistics is very important for each individual to be able to interpret statisticalmessages in various contexts. This research is a descriptive-qualitative study to describe the statisticalliteracy profile of high school students in solving statistical problems based on mathematical ability. Thedata collection method uses written tests and interviews. The research subjects were one student with ahigh mathematical ability category and one student with a moderate mathematical ability category. Theresults showed that: (1) students with high mathematical abilities can understand data, interpret data, andevaluate data well. Students with a high mathematical ability to communicate data by presenting data inthe form of diagrams or graphs, but without considering the characteristics of the data in the presentation;(2) while students with moderate mathematical ability can understand data well. The results of datainterpretation of moderate mathematical students' ability experience errors in terms of determiningaverages and data distribution and communicating data by presenting data in the form of diagrams orgraphs that experience misconceptions related to the presentation of bar charts and histograms.

scholarly journals Profile of Flexibility of High School Students in Mathematical Problem-Solving Based on Personality Type

MATHEdunesa ◽  
2019 ◽  
Vol 8 (3) ◽  
pp. 531-535
Author(s):  
Yenny Fitria Novitasari ◽  
Rini Setianingsih
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Mathematical Problem ◽  
Personality Type ◽  
School Students ◽  
Mathematics Problem Solving ◽  
Ability Tests ◽  
Personality Classification ◽  
The Guardian

e-mail: [email protected] Abstract Flexibility and problem-solving are two things that cannot be separated. One of the causes of differences in strategy in problem-solving is personality. This study is descriptive study using a qualitative approach. This study aims to describe the flexibility of high school students in mathematics problem-solving based on Keirsey personality types. The subjects in this study are four students with different types of personality. For data collection, this study used personality classification tests, mathematical ability tests, mathematical flexibility tests, and interview guidelines. The results show that the guardian student solves the problem using one strategy, namely the concept of addition and fraction multiplication and the answers obtained are incorrect. The artisan students solve the problem using two different strategies, namely drawing a picture and use a variable then the results of all answers are correct. Rational student solves the problem using two different strategies, namely use a variable and draw a picture, but cannot finish the second strategy. Idealist student solves the problem using two different strategies, namely use a variable and use direct reasoning then the answers are correct, but the second strategy is an advanced strategy. Keywords: Problem-solving, flexibility, personality, Keirsey personality type.

scholarly journals Mathematical Engagement When Solving Mathematical Problem With Brawijaya Temple Context Based on Mathematical Ability Level

2020 ◽  
Vol 4 (2) ◽  
pp. 224
Author(s):  
Valerient Trisna Alfaoundra ◽  
Diesty Hayuhantika ◽  
Achmad Budi Santoso
Keyword(s):  
High School ◽  
High School Students ◽  
Junior High School ◽  
Junior High ◽  
Mathematical Problem ◽  
Junior High School Students ◽  
Mathematical Ability ◽  
School Students ◽  
Exploratory Approach ◽  
Low Levels

This research to describe the mathematical engagement of seventh grade junior high school students in problems solving with the theme of Brawijaya Temple with high, medium, and low levels of mathematical ability. This type of research is qualitative research using an exploratory approach. The students used were 6 grade VII students of Junior High School 1 Karangrejo who were students working on problem solving and interviewing. The results showed: (1) mathematical engagement of highly skilled students in  problems solving with the theme of Brawijaya Temple, namely students having the engagement of “get the job”, (2) mathematical engagement of students with moderate abilities in problems solving with the theme of Brawijaya Temple, namely students having engagement is “I am really into this”, (3) Mathematical engagement of students with low abilities in problems solving with the theme of Brawijaya Temple is that students have “pseudo-engagement”.

scholarly journals KECERDASAN NUMERIK DAN SPASIAL TERHADAP KEMAMPUAN MATEMATIS SISWA

2021 ◽  
Vol 2 (2) ◽  
pp. 233-244
Author(s):  
Selviana Nabilah Aziz ◽  
Indra Martha Rusmana
Keyword(s):  
High School ◽  
High School Students ◽  
Senior High School ◽  
Intelligence Test ◽  
Mathematical Ability ◽  
Statistical Hypothesis ◽  
School Students ◽  
Spatial Intelligence ◽  
Mathematical Abilities ◽  
Senior High School Students

This study aims to determine: 1. The effect of numerical intelligence and spatial intelligence on students' mathematical abilities 2. The effect of numerical intelligence on students' mathematical abilities, 3. The effect of spatial intelligence on students' mathematical abilities. The research method used is a survey method with quantitative research on class X IPA Senior High School students of Depok City. The sampling technique was a simple random sampling of 120 samples. The data collection technique was given a test of 20 numerical intelligence items and 20 spatial intelligence items in the form of multiple-choice, while the mathematical ability data were taken from a 15 item test in the form of an essay. Before conducting the hypothesis test, the item validity test for the numerical intelligence test, the spatial intelligence test, and the mathematical ability test were carried out using simple regression correlation. The data normality calculations using the chi-square are declared normal—statistical hypothesis testing with t-test and F test. The results of the study concluded that: 1. There is a significant influence between numerical intelligence and spatial intelligence on the mathematical abilities of students Senior High School students of Depok City, namely f count> f table = 21.81> 3.07; 2. There is a significant effect of numerical intelligence on the mathematical abilities of Depok City Senior High School students, namely t count> t table = 10.00> 1.98; 3. There is a significant effect of spatial intelligence on the mathematical abilities of Depok City Senior High School students, namely t count> t table = 14.80> 1.98

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