scholarly journals ADAPTIVE REASONING OF SOCIAL SECONDARY STUDENTS

MATHEdunesa ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 112-119
Author(s):  
Nadhias Salwanda ◽  
Tatag Yuli Eko Siswono

Adaptive reasoning is a component of basic mathematical skills that needs to be developed for students so that they can use mathematical procedures effectively. This research is a qualitative research that aims to describe the adaptive reasoning profile of secondary students in the Social Sciences department in solving mathematical problems. Research subjects were three students that solving mathematical problems correctly, solving mathematical problems less correctly, and solving mathematical problems incorrectly. The method used to collect data was to provide mathematical problem-solving tests and interviews. Data were analyzed based on students' adaptive reasoning activities in their activities to solve mathematical problems seen from three main aspects of adaptive reasoning, namely reflecting, explaining, and justifying. The results show that student who solved mathematical problems correctly indicated adaptive reasoning abilities in every aspect; student who solved mathematical problems less incorrectly demonstrated adaptive reasoning abilities that almost met all indicator aspects, and student who solved mathematical problems incorrectly did not demonstrate adaptive reasoning abilities in every aspect. Keywords: adaptive reasoning, problem solving, social secondary students.

MATHEdunesa ◽  
2021 ◽  
Vol 10 (1) ◽  
pp. 110-120
Author(s):  
YULIANA DWI RAHMAWATI ◽  
Masriyah Masriyah

Mathematical reasoning is the ability to think about mathematical problems, namely by thinking logically about mathematical problems to get conclusions about problem solutions. There are several factors that can affect students' mathematical reasoning, including mathematical abilities. Dissimilarity of students' mathematical abilities allows for dissimilarity in their mathematical reasoning abilities. So, this research intends to describe students' mathematical reasoning abilities in solving social arithmetic problems based on dissimilarity in mathematical abilities. The purpose of this research was to describe qualitative data about the mathematical reasoning abilities of students with high, medium, or low abilities in solving social arithmetic problems. The instrument used was the Mathematical Ability Test to determine the three research subjects, followed by a Problem Solving Test to get qualitative data about students' mathematical reasoning abilities, then interviews to get deeper data that was not obtained through written tests. Thus, the research data were analyzed using mathematical reasoning indicators. From the result of data analysis, it was found that all students understood the problem well. Students with high and medium mathematical abilities are determining and implementing problem solving strategies properly, namely writing down the step for solving them correctly and making accurate conclusions by giving logical argumens at aech step of the solution. However, students with low mathematical abillities have difficulty in determining and implementing problem solving strategies because they do not understand the concept, thus writing the steps to solve the problems incorrectly and not giving accurate conclusions about the correctness of the solution. Keywords: mathematical reasoning, problem solving, mathematical abilities


Author(s):  
Hani Rizkia Putri ◽  
Rooselyna Ekawati

This study aims to develop a mathematics handout based on local wisdom nuanced to increase the mathematical problem-solving skill of the Secondary students. This research is motivated by the student’s ability to solve the social arithmetic problem. This study used four phases of developmental research such as Investigation, Design, Realization, and Test, Evaluation, and Revision. The characteristics of local wisdom were acquired within the design or context in the mathematics handout to develop secondary students problem-solving skills. The results show that the students do the stages of problem-solving by Polya, get the maximum score and show students’ positive responses in the questionnaire given. Therefore, it met the proper handout criteria such as valid, practice, and effective. In the future studies, we encouraged to develop learning materials which have a guide to do phases of problem-solving and apply the way to solve some problems in mathematics.


Gunahumas ◽  
2020 ◽  
Vol 2 (2) ◽  
pp. 357-386
Author(s):  
Yomi Chaeroni ◽  
Nizar Alam Hamdani ◽  
Akhmad Margana ◽  
Dian Rahadian

ABSTRAK Penelitian ini dilatarbelakangi oleh fakta bahwa kemampuan pemahaman dan kemampuan pemecahan masalah matematis merupakan salah satu kemampuan matematika tingkat tinggi yang harus dimiliki oleh setiap peserta didik. Selain itu kemampuan pemahaman dan kemampuan pemecahan masalah matematis jarang diterapkan dalam pembelajaran matematika di sekolah. Salah satu model pembelajaran yang dapat menjadi alternatif bagi pembelajaran matematika dan kemampuan pemahaman dan pemecahan masalah matematis adalah model pembelajaran IMPROVE. Penelitian ini bertujuan untuk mengetahui penerapan i-spring suite 8 pada model pembelajaran IMPROVE untuk meningkatkan kemampuan pemahaman dan pemecahan masalah matematis peserta didik. Metode penelitian yang digunakan adalah quasi eksperimen karena penelitian ini menggunakan satu kelas eksperimen dan satu kelas kontrol sebagai subyek penelitian. Cara pengambilan subjek penelitian yang digunakan adalah purposive sampling. Subjek penelitian dipilih sebanyak dua kelas dari keseluruhan peserta didik kelas XI SMA Muhammadiyah Banyuresmi tahun pelajaran 2019/2020. Dari hasil penelitian dan perhitungan statistik diperoleh kesimpulan: 1) Terdapat peningkatan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan i-spring suite 8 pada model pembelajaran IMPROVE; 2) Terdapat peningkatan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan model pembelajaran konvensional/direct instruction; 3) Terdapat peningkatan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan i-spring suite 8 pada model pembelajaran IMPROVE dibandingkan dengan peserta didik yang dalam pembelajarannya menggunakan model pembelajaran konvensional/direct instruction; 4) Tidak terdapat perbedaan kemampuan pemahaman dan pemecahan masalah matematis peserta didik yang dalam pembelajarannya menggunakan i-spring suite 8 pada model pembelajaran IMPROVE dan yang menggunakan model konvensional/direct instruction.Kata kunci: Kemampuan Pemahaman Matematis, Kemampuan Pemecahan Masalah Matematis, Model IMPROVEABSTRACT This research is motivated by the fact that the ability to understand and the ability to solve mathematical problems is one of the high-level mathematical abilities that must be possessed by every student. In addition, the ability to understand and the ability to solve mathematical problems are rarely applied in mathematics learning in schools. One learning model that can be an alternative for mathematics learning and mathematical understanding and problem solving abilities is the IMPROVE learning model. This study aims to determine the application of ispring suite 8 on the IMPROVE learning model to improve students' mathematical understanding and problem solving abilities. The research method used is quasi-experimental because this study uses one experimental class and one control class as research subjects. The method of taking the research subject used was purposive sampling. The research subjects were selected as many as two classes from all grade XI students of SMA Muhammadiyah Banyuresmi in the 2019/2020 academic year. From the results of research and statistical calculations conclusions: 1) There is an increase in the ability to understand and solve mathematical problems of students who in learning use the i-spring suite 8 on the IMPROVE learning model; 2) There is an increase in the ability of understanding and solving mathematical problems of students who in learning use conventional learning models / direct instruction; 3) There is an increase in students' mathematical understanding and problem solving abilities in learning using i-spring suite 8 in the IMPROVE learning model compared to students in learning using conventional learning models / direct instruction; 4) There is no difference in the ability to understand and solve mathematical problems of students who in learning use the i-spring suite 8 on the IMPROVE learning model and who use the conventional model / direct instruction.Keywords: Mathematical Understanding Ability, Mathematical Problem Solving Ability, IMPROVE Model


2020 ◽  
Vol 14 (2) ◽  
pp. 117-128
Author(s):  
Sri Adi Widodo ◽  
Ambar Dana Pangesti ◽  
Istiqomah Istiqomah ◽  
Krida Singgih Kuncoro ◽  
Tri Astuti Arigiyati

The purpose of this research was to find out the thinking processes of a concrete student in solving two-dimensional problems. The research method used is descriptive qualitative. The research subjects were two students taken using purposive sampling. The instrument used was the Test of Logical Operations and problem-solving tests. Stages of data analysis used are researching all data, making a cognitive classification of students, choosing concrete students to be used as research subjects, reviewing the results of concrete student work in solving mathematical problems, verify data and data sources that have been classified and transcribed in the presentation or exposure of data. The results showed that at the stage of understanding the problem and re-checking the answers, concrete students use the assimilation at the stage of planning to solve the problem of doing the disequilibration. At the stage of carrying out a plan to solve a problem, concrete students carry out the accommodation. During this study, it was found that students 'habits in mathematical problem-solving did not plan to solve problems, did not re-examine answers, and there were students' habits by interpreting the final results of problems. It can be concluded that the students' concrete thinking processes in solving two-dimensional problems vary according to the stages of problem-solving.


2021 ◽  
Vol 9 (2) ◽  
Author(s):  
Ahmad Talib

This research is a qualitative research with descriptive method. This study aims to describe the ability to think creatively based on the type of student personality, the type of choleric personality in solving mathematical problems. The research subjects were students in the odd semester of class XII IPA 1 SMA Negeri 22 Makassar, the 2019/2020 school year. This subject was chosen by giving a personality questionnaire to students. The data was collected using a mathematical problem solving test instrument on the number sequence material and interviews. The validity of the data was checked by using the triangulation method. The results showed: Students with choleric personality in solving mathematical problems. In question number 1, the subject had difficulty in finding the formula for the nth term. But the subject kept trying and the spirit of trying until finally found the correct formula for the nth term. The subject of the choleric personality type is also said to be able to fulfill the three indicators of creative thinking, namely fluency, flexibility, and novelty. In question number 2, the subject had difficulty finding many ways to solve the problem and only met one indicator of creative thinking, namely fluency.


2021 ◽  
Vol 1 (1) ◽  
pp. 51
Author(s):  
Mochamad Jazim ◽  
Dinawati Trapsilasiwi ◽  
Randi Pratama Murtikusuma ◽  
Arifiatun Arifiatun

This study aims to describe and analyze students' mathematical problem solving abilities based on theory of APOS (Action, Peocess, Object, Schema) in terms of Field Dependent and Field Independent Cognitive Style. It is descriptive research with qualitative approach. The research subjects are 34 students in class XI MIPA 1 SMA Nurul Islam Jember, they are grouped on cognitive style, they are 24 students having field independent cognitive style and 10 students having field dependent cognitive style. The method of data collection use a GEFT (Group Embedded Figure Test), test of problem solving abilities, , and interviews. The results of the data analysis of the problem solving ability test and interviews showed that at the action stage, students with the independent field cognitive style (FI) tended to be able to explain the meaning and information on the questions even though they did not write down what they knew. Students with the field dependent cognitive style (FD) tend to be able to write down the information contained in the questions, but have difficulty explaining the meaning of the questions. At the process stage, FI and FD students are able to model and explain the stages well, but FD still has errors in the resulting mathematical model. At the object stage, FI students tend to work on questions freely, while FD students tend to work on questions in detail or are fixated on completely arranged steps, FD students also have difficulty in explaining back the results of their work. At the schema stage, FI and FD students tend to be able to explain how to use the information contained at the object stage to be used at the schema stage. In general, students with a field independent cognitive style in solving mathematical problems tend to be free or not fixated on complete and detailed steps, and have an analytical nature, so they are able to sort out the important information contained in the questions. Students with a field dependent cognitive style in solving math problems tend to be bound or fixated with steps that are arranged in a complete and detailed manner. Keywords: mathematics problem solving, APOS theory, cognitive style


2019 ◽  
Vol 4 (2) ◽  
pp. 175-189
Author(s):  
Nur 'Afifah ◽  
Ismail Hanif Batubara

Abstract. The research objectives are: (1) Knowing whether the approach to the mathematical investigation can improve the ability to solve open mathematical problems; (2) Knowing how the level of activity of students and lecturers in learning through a mathematical investigation approach. This type of research is Class Action Research. The research subjects were Students of Mathematics Education FKIP UMSU Academic Year 2018/2019. The object of research is the ability of lecturers to manage student learning and activities in the implementation of learning and the ability of students to solve open mathematical problems through an investigative approach to material numbers. The results of the study show that (1) The approach to the mathematical investigation can improve students' mathematical problem-solving abilities; (2) The approach to the mathematical investigation can increase the level of student activity. From the results of the initial test the ability to solve open mathematical problems an average value of 3.17, the average value of student cycle I tests is 10.73 (56.66%) students who have the ability to solve open mathematical problems and average test scores the second cycle was 12 (83.33%) students who had the ability to solve open mathematical problems. Based on the conclusions above, this study suggests that consider the application of a mathematical investigation approach in order to improve the quality of mathematics learning.Keywords: Mathematical Investigation, Problem-Solving, Open-Mathematics.


2021 ◽  
Vol 14 (1) ◽  
pp. 69-84
Author(s):  
Dwi Priyo Utomo ◽  
Erentrudis Junirestu ◽  
Arif Hidayatul Khusna

[English]: This qualitative research aims to analyze secondary students’ reflective thinking in solving mathematical problems based on their emotional intelligence (EI). It involved four secondary school students selected from twenty-nine students who were given the EI questionnaire. The research instrument was a test and an interview guideline. Data analysis was referred to as Polya's four problem-solving stages integrated with the indicators of reflective thinking. The findings reveal that students with a high level of emotional intelligence can fulfill the whole indicators of reflective thinking. In this case, the students can react to a given situation or problem by carefully understanding the available information, making comparisons between elements to formulate strategies, explaining in detail the steps to solve problems, and doing contemplation in checking step by step and correcting mistakes. Meanwhile, students with mid-levels of emotional intelligence are less reflective in making comparisons between elements to formulate strategies for problem-solving. [Bahasa]: Penelitian kualitatif ini bertujuan untuk menganalisis pemikiran reflektif siswa sekolah menengah pertama dalam menyelesaikan masalah matematika berbasis kecerdasan emosional. Subjek penelitian adalah empat siswa, dipilih dari 29 siswa yang mengisi kuesioner. Data dikumpulkan melalui tes dan wawancara kemudian dianalisis dengan merujuk pada empat langkah pemecahan masalah Polya yang diintegrasikan dengan indikator berpikir reflektif. Hasil penelitian ini menunjukkan bahwa siswa dengan tingkat kecerdasan emosional tinggi memenuhi semua indikator berpikir reflektif dalam pemecahan masalah. Dalam hal ini, siswa mampu memberikan reaksi pada situasi atau permasalahan yang diberikan dengan memahami secara cermat informasi yang ada, melakukan komparasi antar elemen untuk menyusun strategi, menjelaskan secara rinci langkah memecahkan masalah, melakukan kontemplasi dalam memeriksa langkah demi langkah dan memperbaiki kesalahan. Sedangkan siswa dengan tingkat kecerdasan emosional sedang kurang reflektif dalam melakukan komparasi antar elemen untuk menyusun strategi pemecahan masalah.


2018 ◽  
Vol 1 (6) ◽  
pp. 1135
Author(s):  
Anggraeni Ratna Sari ◽  
Usman Aripin

This research seeks to explore and reveal students' mathematical problem solving abilities by analyzing student answers. The research subjects were seventh grade students taken from a public junior high school in Purwakarta Regency. The results of the study show that students' mathematical problem solving ability is still very weak and far to be complete even though the level of difficulty of the instrument is in the medium category. In general, the ability of these study subjects in mathematical problem solving is still below 50%. It is time for teachers to apply problem-based learning, in addition to conventional learning models, to provide opportunities and experiences for students to see and experience mathematical problem solving in the classroom. This qualitative study exposes students' responses in dealing with story questions in a rectangular building material. In addition the students are given the questions shown to reveal whether the students are using a systematic solution or can answer directly without a sequence, judging by the ability to solve mathematical problems. There were 6 heterogeneous students who were the subjects in this study. Based on the analysis that has been done, the results obtained are (1) students answer the problem is not systematic, (2) lack of understanding of the sequence of problem solving, (3) students are too hasty in doing math problems.


2021 ◽  
Vol 3 (2) ◽  
pp. 12-20
Author(s):  
Humairah -

This study aims to describe and analyze the mathematical reasoning and problem solving abilities of PGSD students, Universitas Muhammadiyah Lamongan, based on the gender in resolving story problems. This research is a qualitative descriptive research. The research subjects were 6 PGSD students of Universitas Muhammadiyah Lamongan who were selected based on the criteria of academic abilities; students with high reasoning, moderate reasoning, and low reasoning. The data collection techniques were observation, test, and interview. The data analysis was based on the results of test, observation, and interview obtained by students and based on table rubrics. Data analysis was carried out by the researcher using 6 subjects as representatives consisting of 3 males and 3 females with criteria previously mentioned (high, moderate, low). The results of data analysis on mathematical reasoning and problem solving abilities based on gender were female students' mathematical reasoning abilities were superior than male students' mathematical reasoning abilities. Keywords: Mathematical Reasoning, Problem Solving, Gender


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