scholarly journals A Students Algebraic Thinking Processed in Mathematic Problem Solving at Low Mathematic Ability Student Based on Quantitative Reasoning Ability

2018 ◽  
Vol 1 (2) ◽  
pp. 29
Author(s):  
Dewi Purnama Sari ◽  
Feny Rita Fiantika
Keyword(s):  
Problem Solving ◽  
Deductive Reasoning ◽  
Inductive Reasoning ◽  
Algebraic Thinking ◽  
Quantitative Reasoning ◽  
Reasoning Ability ◽  
Mathematics Problem Solving ◽  
The Subject ◽  
Mathematics Problem ◽  
Low Ability

Quantitative Reasoning is students ability to concluded a problem solved. The purpose of this research has information about algebraic thinking processed on the student with low ability based on Quantitative Reasoning ability. Methods used qualitative descriptive with a purpose for a description of algebraic thinking processed on mathematics problem solving basic material on function with the low ability of student based on quantitative reasoning ability. This paper used algebraic ability paper test and interview transcript. The subject cluster used purposive technic with appreciation high value on report and teacher review which are known about students characteristic. The results showed that algebraic thinking processed on mathematics problem solving on the student with low ability based on quantitative reasoning ability obtained LESS category because the subject doesn’t capable used deductive reasoning on clarifying n symbol on problem and representation on arrow diagram and Cartesian diagram for the first problem test. With the result that Quantitative Reasoning subject on analyzing problems to extract and quantify essential features with deductive reasoning obtained “Less” category. The second problem test, the subject doesn’t capable used inductive reasoning on concluding highest bounce of the ball from the graphic and function table. With that result that Quantitative Reasoning subject on analyzing problems to extract and quantify essential features with inductive reasoning obtained “Less” category. Keywords: algebraic thinking processed, mathematics ability, quantitative reasoning ability. Abstrak. Quantitative Reasoning merupakan kemampuan siswa dalam menyimpulkan suatu permasalahan. Tujuan dari penelitian ini adalah untuk mengetahui lebih mendalam mengenai proses berpikir aljabar terutama pada siswa dengan kemampuan rendah ditinjau dari kemampuan Quantitative Reasoning. Metode penelitian adalah deskriptif kualitatif dengan tujuan untuk mendeskripsikan proses berpikir aljabar siswa dalam penyelesaian masalah matematika materi fungsi pada siswa kemampuan rendah ditinjau dari kemampuan quantitative reasoning. Instrumen dalam penelitian ini adalah lembar tes kemampuan berpikir aljabar dan lembar wawancara. Pemilihan subjek dilakukan secara purposive dengan mempertimbangkan nilai rapor tertinggi dan pertimbangan guru kelas yang lebih mengetahui karakteristik siswa. Hasil penelitian menunjukkan bahwa proses berpikir aljabar dalam penyelesaian masalah matematika siswa kemampuan rendah ditinjau dari kemampuan quantitative reasoning memperoleh kategori kurang karena subjek belum mampu menggunakan penalaran deduktif dalam menjelaskan makna simbol n dalam permasalahan dan merepresentasikan dalam diagram panah dan diagram cartesius pada soal nomor satu sehingga memperoleh kategori kurang. Subjek juga belum mampu menggunakan penalaran induktif dalam menyimpulkan lambungan tertinggi bola berdasarkan tabel fungsi yang diperjelas dengan grafik fungsi pada soal nomor dua. Kata kunci: proses berpikir aljabar, kemampuan matematika, kemampuan quantitative reasoning.

scholarly journals ANALISIS KEMAMPUAN PEMECAHAN MASALAH BERDASARKAN TEORI KRULIK DAN RUTNICK DALAM MENGERJAKAN SOAL OLIMPIADE OLEH SISWA SMP

2018 ◽  
Vol 1 (1) ◽  
pp. 42
Author(s):  
Trimahesti Trimahesti ◽  
Kriswandani Kriswandani ◽  
Novisita Ratu
Keyword(s):  
Problem Solving ◽  
Sampling Technique ◽  
Research Subjects ◽  
Purposive Sampling ◽  
Mathematics Problem Solving ◽  
Descriptive Research ◽  
Extend Abstract ◽  
Qualitative Descriptive ◽  
The Subject ◽  
Mathematics Problem

Abstrak: Penelitian ini adalah penelitian deskriptif kualitatif, yang bertujuan untuk mengetahui kemampuan pemecahan masalah matematika dalam mengerjakan soal olimpiade SMP bagi siswa kelas IX SMP N 8 Salatiga. Subjek penelitian terdiri dari 4 siswa yang dipilih dengan teknik purposive sampling. Berdasarkan hasil tes dan wawancara diketahui semua subjek tidak memenuhi kelima tahap Krulik & Rudnick pada soal nomor 1. Pada langkah awal tahap membaca dan berfikir (read and think) subjek  telah melakukan kesalahan dalam memahami soal/masalah. Sedangkan untuk soal nomor 2 hanya 1 subjek yang tidak mampu melewati tahap kelima pada tahap teori Krulik dan Rudnick yaitu refleksi dan pengembangan (reflect and extend). Abstract:  This is a qualitative descriptive research. The purpose of this research is to know the ability of mathematics problem solving in doing Junior High Olympics for students of grade IX SMP N 8 Salatiga. The research subjects consist of 4 students selected by purposive sampling technique. Based on the results of tests and interviews are known that all subjects did not meet the five stages of Krulik & Rudnick in question number 1. In the first step of reading and thinking phase, the subject has made a mistake in understanding the problem. Meanwhile, in question number 2 only 1 subject who is not able to pass the fifth stage at the stage of Krulik and Rudnick theory, that is reflect and extend.

Building Explicit and Recursive Forms of Patterns with the Function Game

2002 ◽  
Vol 7 (8) ◽  
pp. 426-431
Author(s):  
Rheta N. Rubenstein
Keyword(s):  
Problem Solving ◽  
Inductive Reasoning ◽  
Electronic Version ◽  
Cd Rom ◽  
Mathematics Problem Solving ◽  
Game Format ◽  
Mathematics Problem ◽  
Mental Mathematics

The function game is a powerful and motivating tool for engaging middlegrades students in mental mathematics, problem solving, communication, and inductive reasoning (Rubenstein 1996). The game can also be used to help students achieve the goals of NCTM's Algebra Standard for grades 6–8; that is, to “represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules” (NCTM 2000, p. 222). (For a simple electronic version of the game, use the applet on the CD-ROM in Cuevas and Yeatts [2001].) This article will show how the function game format serves as a launchpad to help students build, distinguish, and translate between two basic forms of patterns.

scholarly journals Metacognition Profile of Vocational High School Students in Mathematics Problem Solving Based on Logical Thinking Skills

2021 ◽  
Vol 13 (2) ◽  
pp. 1027-1037
Author(s):  
Mu'jizatin Fadiana ◽  
Andriani Andriani
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Logical Thinking ◽  
Vocational High School ◽  
School Students ◽  
Mathematics Problem Solving ◽  
The Subject ◽  
Abstract Operation ◽  
Mathematics Problem

This study describes the profile of vocational high school students' metacognitive abilities in mathematics problem solving based on their logical thinking abilities. This research was conducted using descriptive research methods with a qualitative approach. The data was collected using a logical thinking ability test and problem-solving test and. Three students were selected who met different logical thinking stages: the abstract operation stage, the transition stage, and the concrete operational stage. The results showed the subject of the abstract operation stage fulfilled the metacognition stage by re-describing the given problem, knowing the relationship between what was known and what was asked, working on the problem by writing down what was known and asked and entering into the formula and also checking the answer. Transition stage subjects fulfill the metacognition stage by describing initial information and instructions, performing problem-solving steps, and counting to check completed work. The subject of concrete operations fulfills the metacognition stage by stating information and instructions that are non-specific and detailed. The subject has not been able to state the proper steps to ensure the information's conformity with the problem, and the subject sees what is done by calculating.

scholarly journals Meningkatkan Hasil Belajar Matematika Melalui Pendekatan Pemecahan Masalah dengan Strategi Polya Pada Siswa Kelas XI IPA SMA Negeri 2 Kalukku

2020 ◽  
Vol 2 (1) ◽  
pp. 49-56
Author(s):  
Sudirman .
Keyword(s):  
Problem Solving ◽  
Mathematics Learning ◽  
Descriptive Analysis ◽  
Average Score ◽  
Learning Achievement ◽  
Planning Stage ◽  
Mathematics Problem Solving ◽  
Quantitative Analyses ◽  
The Subject ◽  
Mathematics Problem

The study is a classroom action research which aims at describing (1) the improvement of Mathematics learning result through problem solving approach by Polya strategy of class XI IPA students at SMAN 2 Kalukku, (2) the improvement of Mathematics problem solving skill by Polya strategy. The subject is students of class XI IPA of SMAN 2 Kalukku, as many as 31 people consisted of 11 male and 20 female students. The technique used to analyze the data is qualitative and quantitative analyses. The qualitative data is used on students’ activities while the quantitative data is used on students’ learning achievement and students’ response. The results indicate that (1) the application of problem solving approach by Polya strategy can improve students’ learning achievement on Mathematics indicated by the descriptive analysis of the average score of students’ learning achievement 65.42 at cycle I to 75.06 at cycle II; (2) the application of problem solving approach by Polya strategy can improve students’ problem solving skill on Mathematics indicated by percentage descriptive analysis, which is problem comprehension stage 83.87% at cycle I to 90.32% at cycle II, problem solving planning stage 87.10% at cycle I to 96.77% at cycle II,

DESCRIBE REASONING OF STUDENTS IN COMPLETING THREE-DIMENSIONAL PROBLEM-SOLVING

2018 ◽  
Vol 3 (1) ◽  
pp. 28-32
Author(s):  
N. Nisraeni ◽  
Dwi Risky Arifanti
Keyword(s):  
Problem Solving ◽  
Deductive Reasoning ◽  
Mathematical Problem ◽  
Research Result ◽  
Inductive Reasoning ◽  
Three Dimensional ◽  
Data Retrieval ◽  
Dimensional Problem ◽  
Inductive Type ◽  
Low Ability

This study aims to describe reasoning by highly capable subjects (ST), medium-impacted subjects (SS), and low-ability subjects (SR) in completing three-dimensional problem-solving tasks. This research is a qualitative descriptive research. Instruments in this study are researchers as the main instrument guided by the task of solving problems Mathematics and interview guidelines are valid. The subjects of this study were students of class XI IPA C consisting of 3 people (high-ability subject (ST), medium-skilled subjects (SS), and low-ability subjects (SR)). The research process follows the steps of: (a) formulating the reasoning indicator in solving Mathematics problem, (b) formulating the supporting instrument (valid problem solving task of Mathematics and interviewing), (c) did research subject taking, (d) perform data retrieval to uncover students' reasoning in Mathematical problem solving, (e) do triangulation techniques to obtain valid data  (f) perform analysis of student reasoning data in problem solving, (g) conduct discussion of result of analysis, (h) make a conclusion of research result. The results of a highly capable subject study show: 1) in understanding the problem using inductive reasoning type analogies, 2) planning completion using inductive reasoning, 3) carrying out the settlement plan using inductive and deductive reasoning, 4) re-examining using common procedures. While for the subject of moderate ability and low-ability subjects in solving problems only meet one reasoning indicator that is filed allegations (inductive type of analogy) is at the stage of understanding the problem. By looking at the students' abilities teachers need to provide non-routine questions so that students are better trained in reasoning and able to develop students' communication skills both in the learning process and in the community environment.

scholarly journals Pengaruh Pendekatan Accelerated Learning terhadap Kemampuan Pemecahan Masalah Matematis

2018 ◽  
Vol 1 (2) ◽  
pp. 131-140
Author(s):  
Qomario Qomario
Keyword(s):  
Experimental Study ◽  
Problem Solving ◽  
T Test ◽  
Accelerated Learning ◽  
Learning Approach ◽  
Test Calculation ◽  
Mathematics Problem Solving ◽  
Quasi Experimental ◽  
The Subject ◽  
Mathematics Problem

The aim of the study was to know the effect of accelerated learning on mathematics problem solving. This was a quasi experimental study.  The subject was class VA and VB. The hyphotesis testing used t test calculation. The result was ttest result = 3,071 and  ttabel = 2,001, because tobtain > ttable so that H0 was rejected and H1 was accepted. Tjerefor, it can be concluded  that   accelerated learning was significantly influence in improving students mathematics problem solving. Keywords:  Accelerated Learning Approach, Mathematics Solving Problem

scholarly journals Exploring mathematization underpinnings of prospective mathematics teachers in solving mathematics problem

2018 ◽  
Vol 11 (2) ◽  
pp. 167-176
Author(s):  
. Lestariningsih ◽  
Siti Maghfirotun Amin ◽  
Agung Lukito ◽  
Moch Lutfianto
Keyword(s):  
Problem Solving ◽  
Mathematics Teachers ◽  
Mathematics Teacher ◽  
Ability Test ◽  
Mathematics Problem Solving ◽  
Mathematics Ability ◽  
Mathematical Problems ◽  
The Subject ◽  
Prospective Mathematics Teachers ◽  
Mathematics Problem

[English]: The purpose of this study is to explore the mathematization underpinnings of prospective mathematics teacher’s on mathematics problem solving. This study used explorative research with a qualitative approach. The instruments used in this study were mathematical ability test, contextual problems, and interview guidelines. A prospective mathematics teacher who has high mathematics ability involved in this study.The subject was selected from 56 prospective mathematics teachers through a test. After the subject solved contextual problems, an interview was conducted. The result revealed that the prospective mathematics teacher did mathematization when  solving the contextual problem by simplifying, solving in a structural way, and fitting to the context of the problem. This finding implies that mathematizationc ould reveal the way prospective mathematics teacher formulates contextual problems into mathematical problems. Keywords: Mathematization, Prospective mathematicsteacher,  Problem-solving, Contextual problems [Bahasa]: Tujuan penelitian ini adalah untuk mengeksplorasi matematisasi yang mendasari mahasiswa calon guru matematika dalam menyelesaikan masalah matematika. Penelitian ini menggunakan penelitian eksploratif dengan pendekatan kualitatif. Instrumen yang digunakan dalam penelitian ini adalah tes kemampuan matematika, masalah kontekstual, dan pedoman wawancara. Subjek penelitian adalah seorang calon guru matematika dengan kemampuan matematika tinggi yang dipilih dari 56 calon guru matematika dengan menggunakan tes kemampuan matematika. Setelah subjek penelitian menyelesaikan masalah kontekstual, dilakukan wawancara. Hasil penelitian menunjukkan bahwa mahasiswa calon guru matematika melakukan matematisasi yang sangat penting karena menyelesaikan masalah matematika dengan menyederhanakan masalah, menyelesaikan masalah secara terstruktur, dan diarahkan sesuai dengan konteks yang ada dalam masalah. Temuan dalam penelitian ini mengungkapkan bahwa melalui matematisasi dapat diketahui cara mahasiswa dalam merumuskan masalah kontekstual ke dalam soal matematis. Kata kunci: Matematisasi, Mahasiswa calon guru, Pemecaha masalah, Masalah kontekstual NB: PDF version of this article will be available in maximum two weeks after this publication

scholarly journals THE DESCRIPTION OF STUDENTS’ METACOGNITION IN MATHEMATICS PROBLEM SOLVING BASED ON PARENTS’ PARENTING PATTERNS

2019 ◽  
Vol 6 (3) ◽  
pp. 319
Author(s):  
Erni Basri
Keyword(s):  
Problem Solving ◽  
Mathematics Problem Solving ◽  
The Subject ◽  
Mathematics Problem ◽  
Parenting Pattern

The research aims to describe students’ metacognition in mathematics problem solving based on parents’ parenting patterns. The subjects who were described in the research consisted of 4 students with each had parenting pattern of authoritative type, authoritarian type, permissive type, and rejecting/neglecting type. The data were collected by giving one problem solving test and interview. To review the credibility of the data, it was conducted source and time triangulation. The conclusion based on the results of the test and interview are: (1) Metacognition skills of the subject with parents’ parenting pattern of authoritative type are planning, predicting, monitoring, and evaluating skills; (2) Metacognition skills of the subjects with parents’ parenting pattern of authoritarian type and permissive type are planning, predicting, and monitoring skills; (3) Metacognition skills of the subject with parents’ parenting pattern of permissive type are planning and predicting skills

scholarly journals DESCRIPTION OF THE DIFFICULTY OF STUDENTS' MATHEMATICS PROBLEM SOLVING ASSESSED FROM ADVERSITY QUOTIENT (AQ)

2021 ◽  
Vol 10 (2) ◽  
pp. 1161
Author(s):  
Amiratih Siti Aisyah ◽  
Riyadi Riyadi ◽  
Sri Subanti
Keyword(s):  
High School ◽  
Qualitative Research ◽  
Problem Solving ◽  
Test Results ◽  
Mathematics Problem Solving ◽  
The Subject ◽  
Descriptive Approach ◽  
Academic Year ◽  
Mathematics Problem ◽  
3Rd Grade

This study aims to determine the difficulty of solving mathematic problems among students AQ climbers, AQ campers, and AQ quitters. This type of research was qualitative research with a descriptive approach. The subject of this study is the 3rd grade of  XI MIPA Batik High School 2 Surakarta in the academic year 2020/2021 which constitutes 6 students. The subject taking was done by giving an adversity quotient questionnaire. From the results of filling out the questionnaire, the subjects were categorized based on their AQ. Furthermore, given a mathematic problem-solving test. After seeing the test results, three subjects representing AQ climbers, AQ campers, and AQ quitters were selected purposively for further interviews. The results showed: 1) The climbers subject experienced two difficulties in solving mathematic problems, namely difficulties in understanding problems and difficulties in implementing plans. 2) The subject of the campers has three difficulties in solving mathematic problems, namely difficulties in understanding problems, difficulties in implementing plans, and difficulties in reviewing. 3) The quitters subject experiences four difficulties in solving mathematic problems, namely difficulties in understanding problems, difficulties in planning, difficulties in implementing plans and difficulties in reviewing, and difficulties in revisiting.

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