scholarly journals Penyelesaian Soal Limit Fungsi Trigonometri dengan Solusi Cepat pada siswa SMA

2020 ◽  
Vol 3 (1) ◽  
pp. 40-45
Author(s):  
Iin Ariyanti ◽  
Nafisa Nur Zaqiyah
Keyword(s):  
Problem Solving ◽  
Multiple Choice ◽  
Limit Problem ◽  
Trigonometric Function ◽  
Mathematical Concepts ◽  
Multiple Choice Tests ◽  
Mathematical Problems ◽  
Practice Questions ◽  
Short Time ◽  
Math Problems

The purpose of this service is to help students deal with the shortage of time when working on multiple choice math problems, especially in the trigonometric function limit material. This activity was carried out on April 24, 2019 at SMAN 1 Tamban, Barito kuala, South Kalimantan, attended by 25 students as participants. The implementation of this activity consists of opening and introduction, explanation and application of problem solving, then practice questions and gift giving, as well as closing and group photos. The material for the quick solution of trigonometric function limit problem solving consists of trigonometric limits using the spruck rules, trigonometric limits using the delete rules of "evil" cosines, and trigonometric limits using the "good" cosine change rules. In the midst of community service activities, the service team appealed to students to prioritize understanding of mathematical concepts in solving mathematical problems. Quick solutions are recommended to be used only on multiple choice tests and force students to solve problems in a short time. Overall, this activity went well and smoothly and without significant obstacles.

scholarly journals EFEKTIVITAS DISTRACTOR PADA TES PILIHAN GANDA UNTUK MENDETEKSI KESALAHAN SISWA DALAM MENYELESAIKAN SOAL MATEMATIKA

2019 ◽  
Vol 2 (2) ◽  
pp. 125
Author(s):  
Muhammad Yani
Keyword(s):  
Multiple Choice ◽  
Research Subjects ◽  
Test Question ◽  
Mathematical Concepts ◽  
Multiple Choice Tests ◽  
Difference Formula ◽  
Choice Tests ◽  
The Subject ◽  
The Difference ◽  
Math Problems

The aim of this study is to determine the effectiveness of the distractor on multiple choice tests to detect the students’ errors and the types of errors students made in solving math problems. This research is a descriptive qualitative study which research subjects were students of class IX MTsN Model Banda Aceh that consisted of 36 students, then three students were selected as subjects to be interviewed about mastery and mistakes made when completing math problems. Data were collected through tests and interviews which validity was used to test the credibility of the data by means of triangulation. Data analysis consisted of the stages of data reduction, data presentation, and conclusion drawing. The results showed that: 1) A good distractor on multiple choice tests had been completed such as a description test question for each answer option chosen by the students was very effective for detecting students’ errors in solving mathematics problems, in which 17.1% of students incorrectly applied mathematical concepts , 3.7% of students made mistakes due to lack of accuracy or error, 1.2% of students misunderstood the problem, and 4.7% of students did not make a solution, but only guessed from the ten questions given. 2) Conceptual errors made by the three subjects (MAH, BSR, and PES) were errors in analyzing the combined area of space and errors in algebraic factorization. Errors in understanding and applying the difference formula were only done by the subject MAH, errors in determining the square root of a number were only done by the subject BSR, and errors in squaring a number were only done by the subject PES. While procedural errors due to lack of thoroughness or error in substituting a value were carried out by subject MAH and PES, errors due to the inability to manipulate steps to solve a problem were only carried out by the subject MAH, and errors in writing the final results were only done by the BSR subject.

Problem solving with the Sneetches

2016 ◽  
Vol 23 (5) ◽  
pp. 282-283
Author(s):  
James Russo ◽  
Toby Russo
Keyword(s):  
Problem Solving ◽  
Multiple Solutions ◽  
Mathematical Concepts ◽  
Mathematical Problems

Math by the Month features collections of short activities focused on a monthly theme. These articles aim for an inquiry or problem-solving orientation that includes four activities each for grade bands K–2, 3–4, and 5–6. In this issue, teachers read the classic Dr. Seuss book The Sneetches and other stories with their class and get students to engage with these associated mathematical problems. The problems, many of which are open-ended or contain multiple solutions or solution pathways, cover a range of mathematical concepts.

Meningkatkan Kemampuan Pengajuan Masalah Serta Penyelesaian Masalah Matematika Melalui Pembelajaran Berbasis Masalah Pada Mahasiswa Jurusan Pendidikan Matematika STKIP “Tapanuli Selatan” Padang Sidempuan

2014 ◽  
Vol 3 (2) ◽  
pp. 165-172
Author(s):  
Sinar Depi Harahap
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Strong Association ◽  
Mathematics Problems ◽  
New Information ◽  
Learning Mathematics ◽  
Before And After ◽  
Mathematical Problems ◽  
Mathematical Relationships ◽  
Math Problems

Learning mathematics should be able to improve the abilityand creativity in learning mathematics, especially in solving mathematical problems. To improve theability of anappropriate learning need sand learning mathematical problem submissionis in accordance with the needs of students in facilitating the completion of (solution) of the mathematical problem significantly. To obtain data submission capability math problem students, the research for mulated the problemas follows: (a) How does the ability filing math problems before and after the learning seen from the stage before and during problem solving?,(b) How is the level of complexity of the questions asked of students according to the structure of language and mathematical relationships?, (c) how associations filing capability math problems with the ability of the settlement (solving) the mathematical problem?.To answer this problem conducted experimental research on mathematics semester students majoringin STKIP "Tapanuli Selatan" Padangsidimpuan. Results showed that (a) the ability of the student submission mathematical problemsseen from the stage before and during the settlement of problems inproblem-based learningis quite good, as shown by the large percentage of math questions that can be solved either with new information and without any new information. (b) Differences filing capabilities grade math problems and problem-based learning class conventional learningis significant. (c) the ability filing math problems with the ability of the settlement (solving) the strong association of students of mathematics problems.

Reading as an Access to Mathematics Problem Solving on Multiple-Choice Tests for Sixth-Grade Students

1999 ◽  
Vol 93 (2) ◽  
pp. 113-125 ◽  
Author(s):  
Robert Helwig ◽  
Marick A. Rozek-tedesco ◽  
Gerald Tindal ◽  
Bill Heath ◽  
Patricia J. Almond
Keyword(s):  
Problem Solving ◽  
Multiple Choice ◽  
Sixth Grade ◽  
Multiple Choice Tests ◽  
Mathematics Problem Solving ◽  
Sixth Grade Students ◽  
Choice Tests ◽  
Mathematics Problem

scholarly journals Students’ thinking path in mathematics problem-solving referring to the construction of reflective abstraction

2018 ◽  
Vol 11 (2) ◽  
pp. 155-166
Author(s):  
Patma Sopamena ◽  
Toto Nusantara ◽  
Eddy Bambang Irawan ◽  
. Sisworo
Keyword(s):  
Undergraduate Students ◽  
Limit Problem ◽  
Student Thinking ◽  
Closed Path ◽  
Mathematical Concepts ◽  
Reflective Abstraction ◽  
Mathematics Problem Solving ◽  
Mathematical Problems ◽  
Qualitative Descriptive ◽  
Field Notes

[English]: This research aims to reveal the path of student thinking in solving mathematical problems referring to the construction of reflective abstraction. Reflective abstraction is the process of thinking in constructing logical structures (logico-mathematical structures) by individuals through interiorization, coordination, encapsulation, and generalization. It is an explorative research with the qualitative descriptive approach which involve fourteen undergraduate students enrolled in Calculus course. Data was analyzed through (1) transcribing verbal data (results of think aloud, interviews, observations, field notes, and results of construction of student mathematical concepts), (2) conducting data reduction (coding, drawing thinking structures), (3) analyzing thought processes, and (4) drawing conclusions. We found that the thinking process of students in solving mathematical problems based on the construction of reflective abstraction can occur through the path of interiorization - coordination - encapsulation - generalization then to coordination - encapsulation - generalization. Thus, student’s thinking path in solving mathematical problems is categorized as a simple closed path. Keywords: Thinking path, Limit problem, Reflective abstraction, Simple closed path [Bahasa]: Penelitian ini bertujuan untuk mendeskripsikan terjadinya jalur berpikir mahasiswa dalam menyelesaikan masalah matematika berdasarkan konstruksi abstraksi reflektif. Abstraksi reflektif adalah proses berpikir dalam membangun struktur logis oleh individu melalui interiorisasi, koordinasi, enkapsulasi, dan generalisasi. Penelitian ini tergolong penelitian eksploratif dengan pendekatan deskriptif kualitatif melibatkan empat belas mahasiswa yang mengikuti matakuliah Kalkulus. Proses analisis data dalam penelitian ini dilakukan melalui langkah-langkah: (1) mentranskrip data verbal (hasil thinkalouds, wawancara, pengamatan, catatan lapangan, dan hasil konstruksi konsep matematika mahasiswa), (2) melakukan reduksi data (membuat coding, menggambar struktur berpikir), (3) analisis proses berpikir, dan (4) penarikan kesimpulan. Hasil penelitian menunjukkan bahwa proses berpikir mahasiswa dalam menyelesaikan masalah matematika berdasarkan konstruksi abstraksi reflektif dapat terjadi melalui jalur interiorisasi – koordinasi – enkapsulasi – generalisasi kemudian ke koordinasi – enkapsulasi – generalisasi. Dengan demikian, jalur berpikir mahasiswa dalam menyelesaikan masalah matematika dikategorikan sebagai jalur berpikir tipe lintasan tertutup sederhana. Kata kunci: Jalur berpikir, Masalah limit, Abstraksi reflektif, Jalur tertutup sederhana NB: PDF version of this article will be available in maximum two weeks after this publication

scholarly journals POLYA’S STRATEGY: AN ANALYSIS OF MATHEMATICAL PROBLEM SOLVING DIFFICULTY IN 5TH GRADE ELEMENTARY SCHOOL

2018 ◽  
Vol 10 (2) ◽  
pp. 140
Author(s):  
Nunuy Nurkaeti
Keyword(s):  
Elementary School ◽  
Problem Solving ◽  
Elementary School Students ◽  
Mathematics Learning ◽  
Mathematical Problem ◽  
Descriptive Analysis ◽  
Thinking Skills ◽  
School Students ◽  
Mathematical Concepts ◽  
Mathematical Problems

Abstract:. Problem solving is one of ways to develop higher order thinking skills. Strategy of problem solving that can be developed in mathematics learning is Polya's strategy. This study aims to analyze the problem solving difficulties of elementary school students based on Polya strategy. To support this research,descriptive analysis is used on seven elementary school students . The results show that, the difficulty of mathematical problems solving of elementary school students consist of the difficulty of understanding the problem, determining the mathematical formula/concepts that is used, making connections between mathematical concepts, and reviewing the correctness of answers with questions. These happened because the problem presented is in a story problem, that is rarely studied by the students. Students usually solve mathematical problems in a form of routine questions, which only require answers in a form of algorithmic calculations. Abstrak: Pemecahan masalah adalah salah satu cara dalam mengembangkan kemampuan berpikir tingkat tinggi. Salah satu strategi pemecahan masalah yang dapat dikembangkan pada pembelajaran matematik adalah strategi Polya. Penelitian ini bertujuan menganalisis kesulitan pemecahan masalah siswa sekolah dasar berdasarkan strategi Polya. Untuk mendukung penelitian ini digunakan analisis deskriptif pada tujuh orang siswa sekolah dasar. Hasilnya menunjukkan bahwa, kesulitan pemecahan masalah matematik siswa sekolah dasar meliputi, kesulitan memahami masalah, menentukan rumus/konsep matematik yang digunakan, membuat koneksi antar konsep matematika, dan melihat kembali kebenaran jawaban dengan soal. Hal tersebut disebabkan, masalah yang disajikan berupa soal cerita yang jarang dipelajari siswa. Siswa biasanya menyelesaikan masalah matematik berupa soal rutin, yang hanya menuntut jawaban berupa perhitungan algoritmik.

scholarly journals KEMAMPUAN KONEKSI MATEMATIS SISWA DALAM MEMECAHKAN MASALAH MATEMATIKA DITINJAU DARI ADVERSITY QUOTIENT

MATHEdunesa ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 241-250
Author(s):  
Jumrotul Mafulah ◽  
Siti Maghfirotun Amin
Keyword(s):  
Problem Solving ◽  
Mathematical Concepts ◽  
Mathematical Connections ◽  
Response Profile ◽  
Mathematical Problems ◽  
The Right ◽  
Relationship Of ◽  
The Relationship ◽  
Different Levels ◽  
Mathematical Connection

Mathematical connection ability is one of the abilities needed in solving mathematical problems. In solving problems, each student has a different way of solving it. This is due to the variety of intelligence that the students possess. This intelligence is known as Adversity Quotient (AQ). There are three levels of AQ namely climbers, campers, and quitters. This study aimed to describe the students' mathematical connections ability in solving mathematical problems related to their AQ. This research is a descriptive study with a qualitative approach carried out in Class IX of MTs Negeri Gresik consisting of three students who have different levels of AQ. The research instrument used consisted of the Adversity Response Profile (ARP) questionnaire, problem solving Test, and interview guidelines. The results of this study indicate that: at the stage of understanding the problem, climbers and campers students could retell with their language different from quitters students who change the language of questions with different meanings, at the stage of preparing a plan, climbers students understand the relationship of problems with mathematical concepts and life everyday and plan quite coherently and clearly while students campers and quitters understand the relationship of problems with mathematical concepts and everyday life and plan quite well, at the stage of implementing the plan, climbers and campers students could find the right answers while students quitters find the answers that are not yet correct, in the stage of looking back, climbers students do the checking again so that they could give the right conclusions while the campers and quitters students do not do the checks again but could provide conclusions that are quite precise. Keywords: Mathematical connection ability, mathematical problems, problem solving, adversity quotient 

scholarly journals Cognitive flexibility: exploring students’ problem-solving in elementary school mathematics learning

2020 ◽  
Vol 6 (1) ◽  
pp. 59-70
Author(s):  
Sri Rahayuningsih ◽  
Sirajuddin Sirajuddin ◽  
Nasrun Nasrun
Keyword(s):  
Problem Solving ◽  
Cognitive Flexibility ◽  
Cognitive Processes ◽  
Mathematics Learning ◽  
Sampling Technique ◽  
Expert Advice ◽  
Trial And Error ◽  
Research Subjects ◽  
Mathematical Problems ◽  
Math Problems

In classroom learning, students need mathematical cognitive flexibility to be able to solve mathematical problems with the various ideas they express. To solve the problems, they must be able to grasp the problem, see it from various points of view, and should not be rigid thinking with one solving method.  In fact, the students still lack the ability to think flexibly in solving math problems. This exploration is necessary to determine how to encourage the students’ creative problem-solving. The purposive sampling technique is used to select two out of 150 of 4th Grade students who have taken an initial test to measure their creative abilities. Problem-solving worksheet, think-aloud records, and interviews are used as data collection instruments. Then, the data were analyzed using a qualitative descriptive approach. The research instrument is validated by two professors of mathematics. Through a series of revisions based on expert advice, the validity results are said to be feasible for use. To check for reliability, field tests are tested on 10 students who meet the criteria as research subjects. Analysis results indicate that cognitive abilities involve cognitive processes in the form of the ability to assess process by looking for patterns of numbers, mentally compute, estimate, and assess the rationality or reasonableness of calculation results. Other findings on students' cognitive processes in solving math problems include looking for number patterns, carrying out trial-and-error (also called guess-and-check), and drawing diagrams. Students with cognitive flexibility tend to use trial-and-error when solving mathematical problems.

scholarly journals ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA BANGUN DATAR SEGIEMPAT DITINJAU DARI KEMAMPUAN PEMECAHAN MASALAH MATEMATIK UNTUK SISWA KELAS VII

2018 ◽  
Vol 1 (6) ◽  
pp. 1135
Author(s):  
Anggraeni Ratna Sari ◽  
Usman Aripin
Keyword(s):  
Problem Solving ◽  
Junior High School ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Research Subjects ◽  
Mathematical Problems ◽  
Level Of Difficulty ◽  
Apply Problem ◽  
Systematic Solution ◽  
Math Problems

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.

KESULITAN SISWA DALAM MENYELESAIKAN SOAL MATEMATIKA MATERI PECAHAN PADA SISWA KELAS V SDN 188 PEKANBARU

2019 ◽  
Vol 8 (1) ◽  
pp. 56
Author(s):  
Ummu Haniq
Keyword(s):  
Qualitative Research ◽  
Problem Solving ◽  
Classroom Management ◽  
Student Motivation ◽  
Mathematical Problem ◽  
External Factors ◽  
Internal Factors ◽  
Fractional Counting ◽  
Mathematical Problems ◽  
Math Problems

This research is motivated by a large number of students who have difficulty in solving mathematical problems of with fractions. This research aims to find out and describe the difficulties experienced by a student in solving mathematical problem infraction. This type of research is qualitative research. This Study found that the difficulties experienced by students in solving fractions are difficulty in understanding the concept of fractional counting operations, difficulty because it does not master multiplication as preparatory material, and difficulty in solving problem-solving problems in fractions. Internal factors that cause students to have difficulty in solving math problems in the fraction are low student motivation, students don’t like math and low ability of students in mathematics. External factors that cause students to experience difficulties in fraction learning are unfavorable class conditions and poor classroom management.

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