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

Author(s):  
Merlin Hitalessy ◽  
Wilmintjie Mataheru ◽  
Carolina Selfisina Ayal

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

2021 ◽  
Vol 13 (2) ◽  
pp. 1027-1037
Author(s):  
Mu'jizatin Fadiana ◽  
Andriani Andriani

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.


2020 ◽  
Vol 5 (2) ◽  
pp. 73
Author(s):  
Heni Astatin ◽  
Tantri Mayasari ◽  
Farida Huriawati ◽  
Rinko Oi

<p>The Habits of Mind of SMK students must be classified as high, therefore researchers conducted research on investigating the thinking habits of SMK students by using the help of learning models based on problem solving in their own way (Discovery Learning). The method used is descriptive qualitative with a sample size of 33 students of class X in SMK Madiun. Data collection uses initial and final tests. The results of the study said that students' thinking habits improved after being given questions in the form of test training, and assisted with discovery learning models. Judging from the average number of pretest and posttest worth 80.8 and 115 the n-gain value is 0.6 with the medium category, the value is obtained from each indicator of habits of mind thinking about thinking 1 with high category, thinking flexibly 0.9 with high category, applying past knowledge to new situation 0.7 with high category, questioning and posing problem 0.6 with medium category, creating, imagining, innovating 0.2. Based on the N-gain value of each indicator, it can be concluded that the discovery learning model can improve students' habits of mind.</p>


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