scholarly journals Students’ suspension of sense making in problem solving

ZDM ◽  
2021 ◽  
Author(s):  
Gemma Carotenuto ◽  
Pietro Di Martino ◽  
Marta Lemmi
Keyword(s):  
Problem Solving ◽  
Qualitative Study ◽  
Word Problem ◽  
Word Problems ◽  
Mathematical Problem ◽  
Critical Issue ◽  
Mathematical Problem Solving ◽  
Sense Making ◽  
Mathematical Problems

AbstractResearch on mathematical problem solving has a long tradition: retracing its fascinating story sheds light on its intricacies and, therefore, on its needs. When we analyze this impressive literature, a critical issue emerges clearly, namely, the presence of words and expressions having many and sometimes opposite meanings. Significant examples are the terms ‘realistic’ and ‘modeling’ associated with word problems in school. Understanding how these terms are used is important in research, because this issue relates to the design of several studies and to the interpretation of a large number of phenomena, such as the well-known phenomenon of students’ suspension of sense making when they solve mathematical problems. In order to deepen our understanding of this phenomenon, we describe a large empirical and qualitative study focused on the effects of variations in the presentation (text, picture, format) of word problems on students’ approaches to these problems. The results of our study show that the phenomenon of suspension of sense making is more precisely a phenomenon of activation of alternative kinds of sense making: the different kinds of active sense making appear to be strongly affected by the presentation of the word problem.

Get the Most Out of “Word Problems”

1981 ◽  
Vol 29 (3) ◽  
pp. 39-40
Author(s):  
Randall I. Charles
Keyword(s):  
Problem Solving ◽  
Word Problem ◽  
Word Problems ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Teachers And Students

The emphasis given to mathematical problem solving has generated a number of discussions concerning the purpose of typical textbook word problems. The following exercise is an example of what most teachers and students refer to as a word problem. This particular example is from the end of a lesson concerned with division with one-digit divisors.

scholarly journals PENDEKATAN MATEMATIKA REALISTIK UNTUK MEMBANGUN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA KELAS XI IPS PADA MATERI PELUANG [REALISTIC MATHEMATICS EDUCATION IN BUILDING THE MATHEMATICS PROBLEM-SOLVING ABILITIES OF GRADE 11 SOCIAL SCIENCE TRACK STUDENTS STUDYING PROBABILITY]

2019 ◽  
Vol 2 (2) ◽  
pp. 119
Author(s):  
Susiana Juseria Tambunan ◽  
Debora Suryani Sitinjak ◽  
Kimura Patar Tamba
Keyword(s):  
Problem Solving ◽  
Social Science ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Mathematics Problem Solving ◽  
Realistic Mathematics ◽  
Mathematical Problems ◽  
Mathematic Education ◽  
Realistic Mathematic ◽  
Grade 11

<p>This research aims to build students’ abilities in mathematical problem-solving and to explain the uniqueness of the steps of realistic mathematic education in building the problem-solving abilities of a grade 11 (social science track) class in the study of probability at one of the schools in Kupang. The observation results found that every student was having difficulties to solving the mathematical problems, particularly the narrative questions. The research method is Kemmis and Taggart model of Classroom Action Research which was conducted in three cycles, from October 4 to November 3 with twenty-four students. Triangulation had been done to every instrument of variable. The data of mathematical problem-solving was obtained from the students by using test sheets, questionnaires, and student’s discussion sheets. Meanwhile, the data of realistic mathematic education’s variable was obtained from three sources: mentors, two colleagues, and students that were using test sheets, questionnaires, and student’s discussion sheets. The results showed that the fourteen-steps of Realistic Mathematic Education that had been done were able to build mathematical problem-solving abilities of the students. This was evidenced through the increase of three indicators of mathematical problem-solving in every cycle. The average increase of indicators of mathematical problem-solving of the grade 11 students from the first to the third cycle was 10%. Therefore, it can be concluded that the Realistic Mathematics Approach can build the ability of problem-solving of grade 11 students in a social science track studying probability at one of the schools in Kupang.</p><strong>BAHASA INDONESIA </strong><strong>ABSTRACT</strong>: Penelitian ini bertujuan untuk membangun kemampuan pemecahan masalah matematis siswa dan menjelaskan kekhasan langkah-langkah pendekatan matematika realistik untuk membangun kemampuan tersebut di salah satu sekolah di Kupang kelas XI IPS pada materi peluang topik kaidah pencacahan. Pada hasil pengamatan ditemukan bahwa setiap siswa kesulitan dalam memecahkan masalah matematis khususnya soal berbentuk cerita. Metode penelitian yang digunakan adalah Penelitian Tindakan Kelas model Kemmis dan Taggart yang berlangsung selama tiga siklus, yaitu 04 Oktober – 03 November kepada 24 orang siswa. Triangulasi dilakukan pada setiap instrumen variabel. Data variabel kemampuan pemecahan masalah matematis diperoleh dari siswa menggunakan lembar tes, lembar angket, dan lembar diskusi siswa. Sedangkan data variabel tingkat pelaksanaan pendekatan matematika realistik diperoleh dari tiga sumber, yaitu mentor, dua orang rekan sejawat, dan siswa menggunakan lembar observasi, lembar angket, dan lembar wawancara. Hasil penelitian menunjukkan bahwa keempat belas langkah-langkah pendekatan matematika realistik yang terlaksana dengan baik sekali mampu membangun kemampuan pemecahan masalah matematis setiap siswa kelas XI IPS di salah satu sekolah di Kupang. Hal ini dinyatakan melalui peningkatan ketiga indikator pemecahan masalah matematis di setiap siklus. Peningkatan rata-rata indikator pemecahan masalah matematis siswa kelas XI IPS dari siklus pertama sampai ketiga adalah sebesar 10%. Oleh karena itu, dapat disimpulkan bahwa pendekatan matematika realistik dapat membangun kemampuan pemecahan masalah matematis siswa kelas XI IPS di salah satu sekolah di Kupang pada materi peluang topik kaidah pencacahan.

scholarly journals Pengaruh Model Pembelajaran E-learning Berbantuan Media Pembelajaran Edmodo Terhadap Kemampuan Pemecahan Masalah Matematis Peserta Didik

2019 ◽  
pp. 31-42
Author(s):  
Hanifah Hanifah ◽  
Nanang Supriadi ◽  
Rany Widyastuti
Keyword(s):  
Problem Solving ◽  
Quantitative Research ◽  
Mathematical Problem ◽  
Learning Model ◽  
Mathematical Problem Solving ◽  
Learning Material ◽  
Learning Models ◽  
Mathematical Problems ◽  
E Learning ◽  
Initial Knowledge

Mathematical problem solving is a problem solving that uses mathematical problem solving. Students in the problem solving did not use the polya method so that students succeeded in difficulties. Educators still use conventional learning models so that students become bored, passive and reluctant to ask whether going forward working on the questions given by the educator, so that new learning models need to be applied. The e-learning learning model assisted with Edmodo learning media is an online presentation material on an Edmodo account using the mobile phone of students. PAM is the knowledge learned by students before getting learning material. This study aims to study the interaction of e-learning learning models assisted by Edmodo learning media to solve mathematical problems. This study is quantitative research. Data collection used with tests, interviews, collection and collection. The data analysis technique uses two-way anava test with cells that are not the same. From the results of the analysis, the influence of the e-learning learning model on mathematical problem solving abilities. It is necessary to question the high, medium, and low mathematical initial knowledge of Great mathematical problem solving ability, then there is no difference between assisted e-learning learning models edmodo, mathematical initial knowledge of mathematical problem solving abilities.

Links to Literature: Using Representations to Explore Perimeter and Area

2001 ◽  
Vol 8 (1) ◽  
pp. 52-59
Author(s):  
Patricia S. Moyer
Keyword(s):  
Problem Solving ◽  
Word Problems ◽  
Mathematical Problem ◽  
Real Life ◽  
Problem Situation ◽  
Correct Operation ◽  
Problem Situations ◽  
Mathematical Problems ◽  
Mathematical Word Problems ◽  
Computational Processes

In an elementary school classroom, as in real life, the lines between the content areas should be blurred, particularly between mathematical problem solving and mathematical situations contextualized in good literature. For that reason, I always look for interesting books about mathematical situations. Why use children's literature to teach mathematics? A good story often places mathematical problems in the context of familiar situations and is similar to, yet a much more elaborate version of, mathematical word problems. Assertions that children's inability to solve word problems results from their inability to read or to compute effectively simply are not true. The problem is that children do not know how to choose the correct operation or sequence of operations to solve the problem. To solve a problem situation presented in words, children need to be able to connect computational processes with appropriate calculations. Their difficulties lie in the fact that children simply do not understand the mathematics well enough conceptually to make the connection with the problem- solving situation. Using books with authentic problem situations may help children see that learning computation serves a real-life purpose.

scholarly journals Pengembangan Local Instructional Theory Pada Topik Pembagian dengan Pendekatan Matematika Realistik

2020 ◽  
Vol 4 (1) ◽  
pp. 01
Author(s):  
Ahmad Fauzan ◽  
Yerizon Yerizon ◽  
Fridgo Tasman ◽  
Rendy Novri Yolanda
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
School Students ◽  
Problem Solving Skills ◽  
Realistic Mathematics ◽  
Mathematical Problems ◽  
Parametric Statistics ◽  
Instruction Theory ◽  
Local Instruction Theory

This research aimed to develop local instruction theory that is valid, practical, and effective to help elementary school students developing their mathematical problem-solving skills. Therefore a sequential activityis design on dailybasis to encourage students to develop their ability to solve mathematical problems, especially on the topic division. To achieve the goal, realistic mathematics approach was implemented to grade three elementary students in the learning process. The designed activities were validated by experts on the aspects of mathematical contents, language, didactical process based on realistic mathematical approach. Data were analyzed with descriptive statistics and parametric statistics. The validation results show that the local instruction theory was valid, and the implementation shows that the local instruction theory is practical and effective in improving students' mathematical problem-solving skills.

scholarly journals Examining Mathematical Problem-Solving Beliefs among Rwandan Secondary School Teachers

2021 ◽  
Vol 20 (7) ◽  
pp. 227-240
Author(s):  
Aline Dorimana ◽  
Alphonse Uworwabayeho ◽  
Gabriel Nizeyimana
Keyword(s):  
Problem Solving ◽  
Secondary School Teachers ◽  
Mathematics Classroom ◽  
Mathematical Problem ◽  
Real Life ◽  
Mathematical Problem Solving ◽  
Teachers Beliefs ◽  
Mathematical Problems ◽  
Teacher Professional

This study explored teachers' beliefs about mathematical problem-solving. It involved 36 identified teachers of Kayonza District in Rwanda via an explanatory mixed-method approach. The findings indicate that most teachers show a positive attitude towards advancing problem-solving in the mathematics classroom. However, they expose different views on its implementation. Role of problem-solving, Mathematical problems, and Problem-solving in Mathematics were identified as main themes. Problem-solving was highlighted as an approach that helps teachers use time adequately and helps students develop critical thinking and reasoning that enable them to face challenges in real life. The study recommends teacher professional development initiatives with their capacity to bring problem-solving to standard.

scholarly journals IMPLEMENTATION OF GEOGEBRA HELP INKUIRI METHOD TO INCREASE ABILITY OF MATHEMATICAL PROBLEMS CLASS STUDENTS XI-TEI B SMK IT DEVELOPMENT OF CIMAHI CITY ON MATERIALS RULES OF SINUS AND COSINUS

2018 ◽  
Vol 1 (1) ◽  
pp. 27
Author(s):  
Dena Handriana ◽  
Rosalina Rolina ◽  
Asep Mulyana
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Mathematical Problem Solving ◽  
Test Results ◽  
Test Cycle ◽  
Average Value ◽  
Teachers And Students ◽  
Mathematical Problems ◽  
Inquiry Method ◽  
Academic Year

This research is an action research study . The problem formulated in this research is whether through geographical assisted inquiry method , mathematical problem solving ability of students of class XI-TEI B SMK TI Development on the material of sinus and cosine rules can be improved? The aim is to examine the improvement of problem solving ability of students of class XI-TEI B SMK IT Development of Cimahi through geogebra assisted inquiry method .This research was conducted on the students of class XI-TEI B SMK IT Development Cimahi academic year 2017-2018 with the number of students 24 people. The instrument used is a test of learning outcomes as a test of students' mathematical problem solving abilities of the sin and cosine rules, cycle I , II and II tests (after giving of action) and observation sheet for teachers and students for the conditions of action implementation. R prosedu study consisted of: (1) planning, (2) p elaksanaa n action, (3) observation and evaluation, and (4) r efleksi. The average value of the results of the test cycle II, which is 30 , 25 increased by 16.17 compared to the average value of the results of the test cycle I, namely 14.08. And the average value of the third cycle test results that is 76 , 75 increased by 46.50. Based on the performance indicators, it is concluded that the mathematical problem solving ability of students of class XI-TEI B SMK TI Pembangunan Cimahi on the material of sinus and cosine rules can be improved through geogebra assisted inquiry method .

scholarly journals Characteristics of Students’ Intuitive Thinking in Solving Mathematical Problems

2019 ◽  
Vol 3 ◽  
pp. 48-57
Author(s):  
Maria Ulpah
Keyword(s):  
Problem Solving ◽  
Mathematical Problem ◽  
Teaching Experience ◽  
Mathematical Problem Solving ◽  
Problem Solution ◽  
Important Thing ◽  
Cognitive Mediation ◽  
Intuitive Thinking ◽  
Mathematical Problems ◽  
Alternative Solutions

Intuition is one of important thing in the process of solving mathematical problems. It works as cognitive mediation. In this understanding, intuition can be made as a bridge to students' understanding so that it can be accessed in linking imagined objects with the desired alternative solutions. In other words, students can determine what strategies or steps should be taken to get a problem solution, especially contextual problems that have completion steps that cannot be accessed directly. Intuitive thinking often occurs in mathematical problem solving. This was also seen in the mathematical students of IAIN Purwokerto. Based on the teaching experience so far, it was found that many students gave spontaneous answers without analyzing first. So, the researcher studied how characteristics of students’ intuitive thinking are. This research used qualitative with descriptive-exploratory type of research and used test to identify the characteristics of students’ intuitive thinking in solving mathematical problems. Results showed that students’ characteristics consisted of extrapolative, implicitly, persistently, coercively, and the power of synthesis.

scholarly journals Tipikal Gender dalam Mengkomunikasikan Penyelesaian Masalah Matematika SMP

2019 ◽  
Vol 7 (2) ◽  
Author(s):  
Nuralam Nuralam ◽  
Muhammad Yani
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Gender Equality ◽  
Communication Skills ◽  
Mathematical Problem ◽  
Female Students ◽  
Male Students ◽  
Mathematical Problem Solving ◽  
Mathematical Communication ◽  
Mathematical Problems

The emphasis of mathematics learning, especially students' communication skills, needs to be considered from gender equality in solving mathematical problems. This study aims to describe: 1) the potential mathematical communication skills of students based on gender; 2) gender equality in communicating mathematical problem solving; and 3) the suitability of the form of the model or the applied form to develop students' mathematical communication skills based on gender at school. This research is a descriptive qualitative research conducted on all junior high school students in Langsa with a purposive sampling technique of 283 students. The data were collected through mathematical communication skills and questionnaire tests which were analyzed descriptively using the concept of Miles and Huberman. The results showed that: 1) mathematical communication skills of female students were better than male students in solving mathematical problems; 2) mathematical communication skills of male students are better in suburban schools and female students are better in downtown schools; and 3) learning implementation plans are still limited in emphasizing mathematical communication skills and learning tends to be cooperative and individual. It is recommended that learning plans refer to developing mathematical communication skills that pay attention to students' gender equality in order to optimize mathematical problem solving.

scholarly journals Mathematical Problem-Solving on Slow Learners Based on Their Mathematical Resilience

Jurnal Elemen ◽  
2021 ◽  
Vol 7 (2) ◽  
pp. 351-365
Author(s):  
Ayu Faradillah ◽  
◽  
Yasmin Husna Restu Fadhilah ◽  
Keyword(s):  
Problem Solving ◽  
Learning Strategies ◽  
Mathematical Problem ◽  
Male Students ◽  
Mathematical Problem Solving ◽  
Slow Learner ◽  
Students With Special Needs ◽  
Slow Learners ◽  
Mathematical Problems ◽  
Mathematical Resilience

This study aims to describe mathematical resilience on slow learner students in solving problems. According to the previous research, there is no research focused on the subject of slow learners. The research method is a qualitative descriptive approach. The total population of this study was 71 students with special needs, which consisted of 51 male students and 20 female students. The selection of subjects in this study was reviewed based on three levels of mathematical resilience, namely high, medium, and low. The process of selecting this subject uses the Wright Maps table on Winsteps application version 3.73. Selected subjects were given instruments and interviews to analyze their mathematical problem-solving. The results showed that mathematical resilience on slow learner students was directly proportional to solving mathematical problems for subjects with high mathematical resilience. Meanwhile, subjects with medium and low mathematical resilience were inversely proportional to solving mathematical problems. The stages of solving the problem of the slow learners were incomplete because they have not passed one of the stages formulated by Polya. Therefore, based on the results of this research analysis, teachers can pay more attention to the slow-learners learning strategies in solving problems.

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