Error Analysis of Trigonometric Problem Solving by Vocational High School Students Based on Differences in Ability and Cognitive Style

2017 ◽  
Author(s):  
Liknin Nugraheni ◽  
Nur Fathonah ◽  
Sri Rahayu ◽  
Esti Widhiarni
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Error Analysis ◽  
Cognitive Style ◽  
Vocational High School ◽  
School Students

Metacognition of Junior High School Students in Mathematics Problem Solving Based on Cognitive Style

2021 ◽  
Vol 17 (1) ◽  
pp. 134
Author(s):  
Sutama ◽  
Sofyan Anif ◽  
Sabar Narimo ◽  
Djalal Fuadi ◽  
Diana Purwita Sari ◽  
...  
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Cognitive Style ◽  
Junior High School ◽  
Junior High ◽  
Junior High School Students ◽  
School Students ◽  
Mathematics Problem Solving ◽  
Mathematics Problem

The main target of the current study is to explain the metacognition of junior high school students with Field Independent (FI) and Field Dependent (FD) cognitive styles in mathematics problem-solving. It should be noted that the statistical population of this study was all junior high school students in the Sragen regency in the 2018/2019 academic year. To reach the research purpose, different instruments such as the cognitive style tests, the problem-solving exercises, and the interview guidance were used. Data analysis was carried out by data collection, data reduction, data presentation, and conclusion. The results indicated that the students who have field-independent cognitive style had high self-confidence that they were able to solve the problem correctly, able to do planning steps, able to make important decisions for themselves, so they can solve the problem properly. Students with FD cognitive style are completely confident that their answer is correct, but they have not yet clarified the steps they need to solve their problems and have not yet focused on their shortcomings in mathematics problem solving, so their task results in mathematics problem-solving incorrectness answer.   Keywords: Cognitive style; Mathematics problem solving; Metacognition

scholarly journals Analisis Kesalahan dalam Memecahkan Masalah Kombinatorika Ditinjau dari Gaya Kognitif

2018 ◽  
Vol 7 (1) ◽  
pp. 114
Author(s):  
Yunis Sulistyorini ◽  
Dian Fitri Argarini ◽  
Nok Izatul Yazidah
Keyword(s):  
High School ◽  
Qualitative Research ◽  
High School Students ◽  
Error Analysis ◽  
Cognitive Style ◽  
Mathematics Learning ◽  
Cognitive Factors ◽  
School Students ◽  
Field Independent ◽  
Field Dependent

Error analysis is integral part of mathematics learning. This qualitative research aims to describe the types and causes of student errors in solving combinatorics problem based on cognitive style. Subjects are high school students with field independent (FI) and field dependent (FD) cognitive style. Error analysis refers to Newman's error analysis. FI and FD students have same errors that are comprehension error at stage of understanding problem; processing skills error and encoding error at the stage of carrying out the plan. The causes of the errors are viewed from the cognitive factors, namely understanding students' concepts in solving problems. FI students have a deeper understanding and make careless error while the FD students have a lack of understanding of the concept which cause more error. The cause of errors in both students is also due to the accumulation of errors at stage of understanding problem. 

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 Atividades sobre a tabela SAC em uma proposta de educação financeira por meio da resolução de problemas

2019 ◽  
Vol 3 (2) ◽  
pp. 440
Author(s):  
Clístenes Lopes da Cunha ◽  
João Bosco Laudares
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Error Analysis ◽  
Daily Life ◽  
Financial Education ◽  
Financial Mathematics ◽  
School Students ◽  
Problem Situations ◽  
Simple Manipulation

Resumo: Neste artigo apresentamos algumas atividades de Matemática Financeira que podem promover o exercício da Educação Financeira, à partir do momento que estudantes do Ensino Médio têm contato com o Sistema de Amortização Constante (SAC). Para alcançarmos nosso objetivo, de promover uma Educação Financeira de forma significativa, adotamos a metodologia da Resolução de Problemas, por meio de elementos do cotidiano econômico-financeiro, em atividades relacionadas a alguns conteúdos do Ensino Médio. A análise de erros utilizada nas situações-problemas apresentadas possibilitou o mapeamento dos fatores que causam entrave ao trabalho com Resolução de Problemas, possibilitando caminhar da simples manipulação de padrões da Matemática Financeira para uma nova postura do professor e do estudante no enfrentamento de situações com reflexão e construção de cidadania, vivenciando na escola questões reais. Palavras-chave: Resolução de Problemas; Educação Financeira; Matemática Financeira; Tabela SAC. SAC table activities in a proposal for financial education through troubleshooting Abstract: In this article we present some activities of Financial Mathematics that can promote the exercise of Financial Education, since high school students have contact with the Constant Amortization System (SAC). In order to achieve our goal of significantly promoting Financial Education, we adopted the Problem Solving methodology, through elements of economic and financial daily life, in activities related to some High School content. The error analysis used in the presented problem situations allowed the mapping of the factors that cause obstacles to the work with Problem Solving, making it possible to move from the simple manipulation of Financial Mathematics patterns to a new posture of the teacher and the student in facing situations with reflection. And citizenship building, experiencing real issues at school. Keywords: Troubleshooting; Financial Education; Financial Math; Table SAC.

scholarly journals REPRESENTASI MATEMATIS SISWA DALAM PEMECAHAN MASALAH PERBANDINGAN TRIGONOMETRI PADA SEGITIGA SIKU-SIKU DITINJAU DARI KECERDASAN LOGIS MATEMATIS, LINGUISTIK DAN VISUAL SPASIAL

2020 ◽  
Vol 2 (1) ◽  
pp. 1-15
Author(s):  
Merlin Hitalessy ◽  
Wilmintjie Mataheru ◽  
Carolina Selfisina Ayal
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Quadratic Equation ◽  
Mathematical Representation ◽  
Vocational High School ◽  
School Students ◽  
Mathematical Representations ◽  
Quadratic Equations ◽  
Visual Spatial

One of the skills needed in learning mathematics is the ability to solve mathematical problems. In solving problems in mathematics learning, mathematical representation is needed by students in the problem solving process. Students tend to use mathematical representations, but sometimes they don't understand what they are doing. In general, mathematical representations also play an important role in improving mathematical competence. Beside the ability of representation, students also have intelligence, including mathematical logical intelligence, linguistics and visual spatial. This research is descriptive with qualitative approach that aimed to describe the complete mathematical representation of vocational high school students in solving a quadratic equation in terms. The research phase begins with the selection of research subjects were determined by gender and math skills test results were similar. Having chosen the subject and the continuation of the problem solving quadratic equations and interviews. The validity of the data using a triangulation of time that is giving the task of solving a quadratic equation are equal at different times. The results of this study as the mathematic description shows that vocational high school students in solving quadratic equations problem according to Polya step problem solving

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