Different Levels of Sophistication in Solving and Expressing Mathematical Problems with Digital Tools

2018 ◽  
pp. 15-41
Author(s):  
Hélia Jacinto ◽  
Sandra Nobre ◽  
Susana Carreira ◽  
Nélia Amado
Keyword(s):  
Digital Tools ◽  
Mathematical Problems ◽  
Different Levels

scholarly journals ANALISIS KEMAMPUAN BERPIKIR KREATIF SISWA SMP DALAM MEMECAHKAN MASALAH MATEMATIKA PADA MATERI POLA BARISAN BILANGAN

2018 ◽  
Vol 1 (1) ◽  
pp. 34
Author(s):  
Tri Mulyaningsih ◽  
Novisita Ratu
Keyword(s):  
High School ◽  
Junior High School ◽  
Creative Thinking ◽  
Junior High ◽  
Data Presentation ◽  
Descriptive Research ◽  
Mathematical Problems ◽  
Qualitative Descriptive ◽  
Academic Year ◽  
Different Levels

Abstrak: Penelitian ini merupakan penelitian deskriptif kualitatif yang bertujuan untuk mengetahui kemampuan berpikir kreatif siswa SMP dalam memecahkan masalah matematika pada materi pola barisan bilangan. Subjek dalam penelitian ini adalah tiga siswa kelas VIII SMP Negeri 3 Salatiga tahun pelajaran 2017/2018 yang memiliki kemampuan matematika tinggi. Pengumpulan data menggunakan teknik tes, dan pedoman wawancara. Analisis data yang digunakan adalah reduksi data, penyajian data dan penarikan kesimpulan. Hasil penelitian ini adalah semua subjek mampu memperlihatkan kemampuan berpikir kreatif dengan tingkatan yang berbeda-beda yaitu satu subjek memperlihatkan TKBK 4, satu subjek memperlihatkan TKBK 3 dan satu subjek memperlihatkan TKBK 1.Abstract:  This research is a qualitative descriptive research,that aims to determine the ability of creative thinking students of junior high school in solving mathematical problems in the matter of pattern of sequence numbers. Subjects in this study consist of three students of  (eight grade of junior high school 3 Salatiga) VIII SMP Negeri 3 Salatiga in the academic year 2017/2018 who have high mathematical ability. Data collection using test techniques, and interview guidelines. Data analysis used  data reduction, data presentation and conclusion. The results of those studies are all subjects are able to show the ability of creative thinking in different levels of one subject showed TKBK 4, one subject showed TKBK 3 and one subject showed TKBK 1.

scholarly journals Exploring the Metacognitive Skills of Secondary School Students’ Use During Problem Posing

2014 ◽  
Vol 67 (1) ◽  
Author(s):  
Tony Karnain ◽  
Md Nor Bakar ◽  
Seyed Yaser Mousavi Siamakani ◽  
Hossein Mohammadikia ◽  
Muhammad Candra
Keyword(s):  
Secondary School ◽  
Secondary School Students ◽  
Monitoring And Evaluation ◽  
Problem Posing ◽  
Metacognitive Skills ◽  
School Students ◽  
Thinking Aloud ◽  
Question Analysis ◽  
Mathematical Problems ◽  
Different Levels

The purpose of our study was to explore students’ use of metacognitive skills during problem posing activities. This qualitative research explored the metacognitive skill of 21 secondary school students in a rural Anambas Indonesia while posing individually mathematical problems. Thinking-Aloud protocol was conducted during the problem posing activities. The audio recordings of Thinking-Aloud protocol for the students provided the data to address this question. Analysis of their written work and Thinking-Aloud protocols provided evidence of how students used metacognitive skills while problem posing and revealed different levels of these skills. Analyses of the Thinking-Aloud protocol also provided evidence for the metacognitive skills associated with planning, monitoring, and evaluation. The students used planning and monitoring skills equally. Furthermore, different levels of sophistication of planning were apparent. Students who combined these metacognitive skills demonstrated a higher level of monitoring. However, from our analyses that there was considerable overlap in the metacognitive activities associated with monitoring and evaluation.

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 Students’ Strategies in Solving PISA Mathematical Problems Reviewed from Problem-Solving Strategies

2021 ◽  
Vol 15 (1) ◽  
pp. 37-48
Author(s):  
Meryansumayeka Meryansumayeka ◽  
Zulkardi Zulkardi ◽  
Ratu Ilma Indra Putri ◽  
Cecil Hiltrimartin
Keyword(s):  
High School Students ◽  
Problem Solving ◽  
Descriptive Study ◽  
Dominant Strategy ◽  
Trial And Error ◽  
Research Subjects ◽  
School Students ◽  
Mathematical Problems ◽  
Problem Solving Strategies ◽  
Different Levels

This study purposes to describe the strategies used by students in solving PISA type problems seen from the strategy of problem solving according to Polya. The research methodology is qualitative type descriptive study. Research subjects were 6 high school students in Palembang who had different levels of mathematical ability. Data was gathered using observation, interviews, and student answer sheets on the type of PISA questions given. The results showed that the dominant strategy used by students in solving PISA type problems included making pictures when they solve problem related to geometry; looking for possible answers systematically when they try to solve problem within numeric; writing information stated and the question when the problem is in the form of storytelling; and using trial and error when the problem provide answer alternatives.

scholarly journals Detecting and sharing praxeologies in solving interconnecting problems: some observations from teacher education viewpointDétecter et partager les praxéologies dans la résolution de problèmes d'interconnexion: quelques observations du point de vue de la formation des enseignants

2020 ◽  
Vol 22 (4) ◽  
pp. 472-486
Author(s):  
Margo Kondratieva
Keyword(s):  
Teacher Education ◽  
Multiple Solutions ◽  
Algebraic Methods ◽  
New Paradigm ◽  
Educational Backgrounds ◽  
Résolution De Problèmes ◽  
Mathematical Problems ◽  
K 12 ◽  
Mixed Groups ◽  
Different Levels

AbstractThis paper discusses praxeologies available at different levels of schooling in view of a problem, which permits multiple solutions ranging from elementary to more advanced mathematical approaches. Solutions of the problem produced by mixed groups of K-12 teachers included numerical, pictorial and algebraic methods, and allowed observing possible paths within a finalized activity of study and research.  They also gave some insights regarding teachers’ readiness to support the continuity of students’ praxeological development, and more generally, the potential within teachers’ educational backgrounds to pursue the new paradigm of questioning the world.Keywords: Teacher education, Praxeological development, Mathematical problems with multiple solutions.RésuméCe texte discute les praxéologies disponibles à différents niveaux de la scolarité pour résoudre un problème qui permet des résolutions multiples, depuis des approches élémentaires aux plus avancées. Les résolutions proposées par un groupe mixte d’enseignants de l’école élémentaire jusqu’au lycée ont employé des méthodes numériques, graphiques et algébriques, et permettent d’observer les parcours possibles d’une activité finalisée d’étude et de recherche. Elles nous laissent aussi percevoir la capacité des enseignants pour soutenir la continuité du développement praxéologique des élèves, et plus généralement le potentiel résultant de la formation des enseignants à poursuivre le nouveau paradigme du questionnement du monde.Mots-clés: formation des enseignants, développement praxéologique, problèmes mathématiques aux solutions multiples.

scholarly journals A Haar Wavelet Series Solution of Heat Equation with Involution

2021 ◽  
Vol 86 (2) ◽  
pp. 50-55
Author(s):  
Burma Saparova ◽  
Roza Mamytova ◽  
Nurjamal Kurbanbaeva ◽  
Anvarjon Akhatjonovich Ahmedov
Keyword(s):  
Heat Equation ◽  
Haar Wavelet ◽  
Wavelet Expansion ◽  
Heat Equations ◽  
Exact Representation ◽  
Numerical Techniques ◽  
New Methods ◽  
Mathematical Problems ◽  
Different Levels ◽  
Differential And Integral Equations

It is well known that the wavelets have widely applied to solve mathematical problems connected with the differential and integral equations. The application of the wavelets possess several important properties, such as orthogonality, compact support, exact representation of polynomials at certain degree and the ability to represent functions on different levels of resolution. In this paper, new methods based on wavelet expansion are considered to solve problems arising in approximation of the solution of heat equation with involution. We have developed new numerical techniques to solve heat equation with involution and obtained new approximative representation for solution of heat equations.

scholarly journals Analisis Level Kinerja Practitioner Melalui Aktivitas Belajar Siswa

2019 ◽  
Vol 2 (1) ◽  
pp. 25-35
Author(s):  
Eric Dwi Putra ◽  
Indah Rahayu Panglipur
Keyword(s):  
Student Learning ◽  
Research Method ◽  
Learning Activities ◽  
Story Problems ◽  
Student Activities ◽  
Analysis Technique ◽  
Mathematical Problems ◽  
Asking Questions ◽  
Quantitative Descriptive ◽  
Different Levels

The purpose of the study, determine the level of performance of practitioners through student learning activities. The level of student practitioner performance is seen when solving mathematical problems (story problems) sub-topics of numbers. The research method used is quantitative descriptive. The analysis technique uses validity test and source triangulation. In this study the subjects of class VII students were taken as many as 6 people. Retrieval of data using observations and questions (problems). Data were observed using an observation sheet instrument, while questions with realistic media. The results of the study, the validation of the instrument on the observation sheet using the Va value for the test questions obtained 2.9 results thus the instrument is said to be valid. Based on the results of observations ST satisfies all activities well but in activities related to courage still can not be said to always be brave in responding and asking questions / opinions expressly, SS fulfills 3 out of 6 student activities well. These results are the same for the 2 subjects taken. SR fulfills 5 out of 6 student activities well. These results are the same for the 2 subjects taken. Conclusions, the Practitioner student's level of performance has different levels of fulfillment of critical standards through student learning activities. Students with high ability category (ST) can meet all critical standard indicators while students with medium (SS) and low (SR) ability categories cannot fulfill. Key Words: Performance Level Practitioners, Learning Activities

scholarly journals HOW STUDENTS WORK WITH PISA-LIKE MATHEMATICAL TASKS USING COVID-19 CONTEXT

2020 ◽  
Vol 11 (3) ◽  
pp. 405-416
Author(s):  
Zulkardi Zulkardi ◽  
Meryansumayeka Meryansumayeka ◽  
Ratu Ilma Indra Putri ◽  
Zahra Alwi ◽  
Duano Sapta Nusantara ◽  
...  
Keyword(s):  
Research Method ◽  
Design Research ◽  
Secondary Level ◽  
Mathematical Tasks ◽  
School Students ◽  
Mathematical Skills ◽  
Learning Mathematics ◽  
Mathematical Problems ◽  
Different Levels ◽  
Three Phases

School students can use a sequence of contextual tasks to learn mathematics. We can use Covid-19 as a phenomenon or context to exploit in learning mathematics. This article describes how students learn with mathematical problems that adapted PISA tasks and used the Covid-19 context. This study involved 29 secondary-level students, 15 years old, and each has different levels of mathematical skills. We use three phases of design research as the research method. Data were collected using observation, interviews, and documents. Then, they were analyzed descriptively. The result showed there were ten problems developed, and students were asked to work with those problems.  We found that there are steps in how students understand and solve the problem. First, if students find a picture in the task, then they observe at the picture, read the question, and then start working to solve the problem. Second, if students find a table with less data, students refer to all data in solving the problem. Third if students find a table which has a lot of data, then some students calculate all of the data and other only compared among them. We’d like to encourage students to understand the problem before solving the problem. They do this by observing the pictures, comprehending the tables and also the questions.

Dependence of Intergranular Fracture on Boundary Topography and Cohesion

1973 ◽  
Vol 31 ◽  
pp. 150-151
Author(s):  
J. E. Doherty ◽  
A. F. Giamei ◽  
B. H. Kear ◽  
C. W. Steinke
Keyword(s):  
Grain Boundary ◽  
Room Temperature ◽  
Nickel Base Superalloy ◽  
Boundary Shear ◽  
Room Temperature Ductility ◽  
Solid Solution Matrix ◽  
Nickel Base ◽  
Solution Matrix ◽  
Different Levels ◽  
Base Superalloy

Recently we have been investigating a class of nickel-base superalloys which possess substantial room temperature ductility. This improvement in ductility is directly related to improvements in grain boundary strength due to increased boundary cohesion through control of detrimental impurities and improved boundary shear strength by controlled grain boundary micros true tures.For these investigations an experimental nickel-base superalloy was doped with different levels of sulphur impurity. The micros tructure after a heat treatment of 1360°C for 2 hr, 1200°C for 16 hr consists of coherent precipitates of γ’ Ni3(Al,X) in a nickel solid solution matrix.

Immunoenzymatic demonstration of the simultaneous presence of transferrin, hemopexin and albumin in a same hepatocyte and their ultrastructural localization

1978 ◽  
Vol 36 (2) ◽  
pp. 88-89
Author(s):  
M. Kraemer ◽  
J. Foucrier ◽  
J. Vassy ◽  
M.T. Chalumeau
Keyword(s):  
Plasma Proteins ◽  
Rat Hepatocytes ◽  
Ultrastructural Localization ◽  
Carrier Proteins ◽  
Normal Cells ◽  
Adult Rat ◽  
Adult Rat Hepatocytes ◽  
Monospecific Antisera ◽  
Different Levels

Some authors using immunofluorescent techniques had already suggested that some hepatocytes are able to synthetize several plasma proteins. In vitro studies on normal cells or on cells issued of murine hepatomas raise the same conclusion. These works could be indications of an hepatocyte functionnal non-specialization, meanwhile the authors never give direct topographic proofs suitable with this hypothesis.The use of immunoenzymatic techniques after obtention of monospecific antisera had seemed to us useful to bring forward a better knowledge of this problem. We have studied three carrier proteins (transferrin = Tf, hemopexin = Hx, albumin = Alb) operating at different levels in iron metabolism by demonstrating and localizing the adult rat hepatocytes involved in their synthesis.Immunological, histological and ultrastructural methods have been described in a previous work.

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