scholarly journals Metacognitive Blindness in Mathematics Problem-Solving

2020 ◽  
Vol 1 (2) ◽  
pp. 43-49
Author(s):  
Surya Sari Faradiba ◽  
Alifiani Alifiani
Keyword(s):  
Academic Achievement ◽  
Mathematics Education ◽  
Problem Solving ◽  
Math Ability ◽  
Mathematics Problem Solving ◽  
The Subject ◽  
Good Learning ◽  
Problem Solving Process ◽  
Math Problems ◽  
Mathematics Problem

Metacognitive blindness is usually synonymous with low math ability. However, this study reveals the opposite. Metacognitive blindness can also be experienced by students with good learning achievement. This research was conducted on students majoring in Mathematics Education who have the best academic achievement in their class. The data collected is in the form of words obtained through interviews after solving math problems. The results of the qualitative analysis show that subjects who are students with good academic performance can experience anomalous results during the problem-solving process, which is a condition in which the subject feels that the math problem at hand contains errors. The error in question is, the subject stutters the squares on the chessboard that are not the same size, but in reality they are not.

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.

Improving Problem Solving through Drawings

1999 ◽  
Vol 6 (1) ◽  
pp. 48-51
Author(s):  
Janet A. Kelly
Keyword(s):  
Problem Solving ◽  
National Science Foundation ◽  
Single Mode ◽  
Fifth Grade ◽  
Algorithmic Approach ◽  
Mathematics Problem Solving ◽  
National Science ◽  
Math Problems ◽  
Mathematics Problem ◽  
Mathematics And Science

While working with third-, fourth-, and fifth-grade teachers in a National Science Foundation–sponsored project designed to enhance the mathematics and science teaching of in-service elementary teachers, we recognized that teaching mathematics problem solving was one of their greatest challenges. Discussions with the teachers revealed that most were using an algorithmic approach to problem solving with an emphasis on facts, rules, and procedures. Their students were being taught to solve word problems in a systematic, single-mode manner. We found that the teachers were most comfortable with the algorithmic approach because that is how they were taught mathematics when they were in school. As one teacher commented, “I was stunned to find out that not everyone worked math problems the same way.”

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 PENERAPAN METODE PROBLEM SOLVING DALAM MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH PADA MATA KULIAH ALJABAR DAN TRIGONOMETRI

2018 ◽  
Vol 3 (2) ◽  
pp. 159-166
Author(s):  
Imelda Imelda
Keyword(s):  
Mathematics Education ◽  
Action Research ◽  
Problem Solving ◽  
Education Program ◽  
Education Student ◽  
Math Problem ◽  
Mathematics Problem Solving ◽  
Math Problem Solving ◽  
Catholic University ◽  
Mathematics Problem

Abstract. This study is a classroom action research. The purpose of this research is (1) to describe the application of problem solving method in improving mathematics problem solving students of mathematics education program of Catholic University of Santo Thomas North Sumatera and (2) to describe the improvement of mathematics problem solving ability of mathematics education student in Algebra and Trigonometry. The result of this research shows that the result of problem solving test of mathematics cycle I is students who do not have problem solving ability as much as 3 people (30%), while students have math problem solving ability as much as 7 people (70%) and percentage of observation sheet lecturer activity amounted to 70.90%. Based on the result of math problem solving test in cycle 2, there were 1 (10%) students who did not have the ability to solve mathematics problem, while the students who have problem solving ability 9 students (90%) and lecturer activity percentage of 85.50% experienced an increase from cycle I of 6.5%. Based on the results of this acquisition then the group (classical) can be said that students have the ability to solve problems in Algebra and Trigonometry courses and increase problem-solving abilities by 20%. Keywords: problem solving method and problem solving ability.

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,

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 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.

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