Teaching Higher Order Mathematics through Graphics Programming

1996 ◽  
Vol 15 (3) ◽  
pp. 261-281
Author(s):  
Julie Dibiase

Most of the underlying concepts that pervade what is typically referred to as “higher” mathematics are relegated to the arena of the mathematical elite. The research presented here demonstrates that, given the proper pedagogical environment, these concepts are quite accessible for early high school students. Through SchemePaint, a graphics enhanced computer programming language, students learned the mathematical notion that a function can be a data object. Further, students were able to apply their knowledge of functions from within the graphics domain to solve novel mathematical problems. This work suggests the need for a more elaborate study of how such early conceptual introduction of advanced material may preclude some of the problems which have been documented to pervade the later stages of students' academic career.

2021 ◽  
Vol 2 (2) ◽  
pp. 63-72
Author(s):  
Bambang Hariadi ◽  
M. J. Dewiyani Sunarto ◽  
Tri Sagirani ◽  
Tan Amelia ◽  
Julianto Lemantara ◽  
...  

Penelitian ini bertujuan untuk meningkatkan hasil belajar siswa SMA berbasis Higher Order Thinking Skill (HOTS) melalui pembudayaan belajar dengan pendekatan blended learning dengan menerapkan model Blended Web Mobile Learning (BWML) dan aplikasi MoLearn. Penelitian ini merupakan penelitian pengembangan yang mengacu pada Generic Design Research Model (GDRM) dari Plomp dan Nieveen. Untuk pengembangan aplikasi MoLearn metode System Development Life Cycle (SDLC) model waterfall digunakan dalam penelitian ini. Penelitian ini meibatkan 205 siswa sebagai subjek penelitiaan. Data penelitian dikumpulkan menggunakan instrument lembar validasi model, angket resposn siswa, dan tes HOTs siswa. Penelitian dianalisis secara deskriptif menggunakan persamaan reliabilitas dan n-gain. Hasil penelitian menunjukkan bahwa (1) model BWML dengan aplikasi MoLearn dinyatakan valid dan reliable berdasarkan tinjauan content dan isi, selain itu, berdasarkan hasil respon 205 siswa terhadap pembelajaran model BWML dengan aplikasi MoLearn, 83% siswa dinyatakan antusias mengikuti pembelajaran; dan (2) peningkatan HOTs siswa dinyatakan meningkat (rerata n-gain= 0,46) dengan kategori sedang. Hasil penelitian ini menyimpulkan bahwa model Blended Web Mobile Learning (BWML) dengan aplikasi MoLearn valid, praktis, dan efektif untuk meningkatkan keterampilan berpikir tingkat tinggi siswa SMA. The Development of the Blended Web Mobile Learning Model with the MoLearn Application to Improve High School Students’ Higher Order Thinking Skills Abstract This study aims to improve the learning outcomes of high school students based on Higher Order Thinking Skills (HOTS) through the culture of learning with a blended learning approach by applying the Blended Web Mobile Learning (BWML) model and the MoLearn application. This research is a development research that refers to the Generic Design Research Model (GDRM) from Plomp and Nieveen. For the development of the MoLearn application, the Waterfall Model System Development Life Cycle (SDLC) method was used in this study. This study involved 205 students as research subjects. The research data were collected using a model validation sheet instrument, student response questionnaires, and student HOTs tests. The research was analyzed descriptively using the reliability equation and n-gain. The results showed that (1) the BWML model with the MoLearn application was declared valid and reliable based on the content and content review, in addition, based on the results of the responses of 205 students to the BWML model learning with the MoLearn application, 83% of the students were stated to be enthusiastic about participating in the learning; and (2) the increase in students' HOTs was stated to be increasing (mean n-gain = 0.46) in the medium category. The results of this study conclude that the Blended Web Mobile Learning (BWML) model with the MoLearn application is valid, practical, and effective for improving high school students’ higher order thinking skills.


Author(s):  
Sutono ◽  
Tri Widayanti ◽  
Bety Agustina Rahayu

Bullying is still a troubling social problem. Bullying cases that occur in high school students have caused many problems both physically and psychologically. Bullying is a phenomenon that is very much, rooted, passed down from generation to generation. The seriousness of bullying is a big problem for all of us. The level of knowledge and concern for teachers, parents, health service teams, and the Indonesian people towards bullying is still low. Information systems are needed for management in making decisions to overcome bullying problems. Researchers in this study created a system that can be used as a means of delivering information from students to schools. The creation of this system is based on a system that is easily accessible, secure, and guarantees the confidentiality of the complainants. So that this product can help schools identify cases of bullying in schools, who are the perpetrators of bullying, and victims of bullying, with the hope that schools can stop the chain of bullying events and prevent bullying at schools. The scheme in this study is to design a website that reports bullying and provides information. The system design model used in this study is a prototype model and data was collected through observation, interviews and literature study. The programming language used is PHP and software for designing interfaces using the laravel framework. Making a database using MySQL with the XAMMP application.  


2016 ◽  
Vol 3 (1) ◽  
pp. 76 ◽  
Author(s):  
Novferma Novferma

Penelitian ini bertujuan untuk mendeskripsikan letak, jenis, faktor-faktor kesulitan, dan self-efficacy siswa SMP swasta di Kabupaten Sleman, DIY dalam memecahkan masalah matematika berbentuk soal cerita. Penelitian ini termasuk penelitian survei dengan pendekatan kuantitatif dan kualitatif. Subjek penelitian adalah 124 siswa SMP swasta di Kabupaten Sleman, DIY yang berasal dari empat sekolah dengan kategori tinggi, sedang, dan rendah. Sampel penelitian ditentukan dengan stratified proportional random sampling technique. Instrumen yang digunakan berupa tes diagnostik terdiri atas 5 butir soal, angket self-efficacy, dan pedoman wawancara. Hasil penelitian menunjukkan bahwa kesulitan siswa dalam pemecahan masalah matematika berbentuk soal cerita terletak pada pengetahuan faktual, pengetahuan konseptual, pengetahuan prosedural, dan pengetahuan metakognitif. Jenis kesulitan yang dialami siswa yaitu pada mengingat fakta, mengingat konsep, memahami fakta, memahami konsep, menerapkan konsep, menerapkan prosedur, menganalisis prosedur, mengevaluasi faktual, mengevaluasi konsep, mengevaluasi prosedur, dan mengomunikasikan metakognitif. Faktor-faktor kesulitan yang dialami siswa SMP dalam memecahkan masalah matematika berbentuk soal cerita kelas VIII yaitu siswa merasa waktu yang diberikan tidak cukup, mudah menyerah, kurang teliti, sering lupa, merasa cemas, dan siswa tergesa-gesa untuk mengerjakan soal. Self-efficacy dari 124 siswa berada dalam kategori tinggi dengan rata-rata sebesar 90,4.Kata Kunci: analisis kesulitan siswa, self-efficacy, pemecahan masalah matematika, soal cerita AN ANALYSIS OF DIFFICULTIES AND SELF-EFFICACY OF JUNIOR HIGH SCHOOL STUDENTS IN SOLVING STORY FORM MATHEMATICAL PROBLEMS AbstractThis research aimed to describe the positions, types, difficulty factors, and self-efficacy of junior high school students in Sleman, DIY in solving story form mathematical problems. This study was survey research using the quantitative and kualitative approach. The subjects of this research were 124 students of private junior high schools in Sleman, DIY, which were from four different school groups in the high, middle, and low categories. The sample was established using the stratified proportional random sampling technique. The instruments which were used namely diagnostic test that consisted of 5 items, self-efficacy questionnaire, and interview guides. The results indicate that students’ difficulties in solving story form mathematical problems lie on factual knowledge, conceptual knowledge, procedural knowledge, and metacognitive knowledge. The types of difficulties experienced by students include remembering fact, remembering concept, understanding facts, understanding concept, applying concept, applying procedure, analyzing procedure, evaluating fact, evaluating concept, evaluating procedure, and communicating metacognitive. Difficulty factors that grade VIII students experience in solving story form mathematical problems include: students feel that the time given is not enough, easily give up, are not meticulous enough, oftenly forget, and are anxious and impatient while solving the problems. The self-efficacy of 124 students can be categorized as high with an average score of 90.4.Keywords: analysis of students’ difficulties, self-efficacy, mathematics problem solving, story problem.


2020 ◽  
Vol 2 (2) ◽  
pp. 176-191
Author(s):  
Benny Anggara

The need for developing students' higher order thinking skills is the main indicator in the application of HOTS-based questions in high school mathematics learning. The results of the implementation have not shown satisfactory results. The high level thinking ability of students in Indonesia in Mathematics is still very low. Therefore, a HOTS-based diagnostic test is needed which is able to detect the mathematical misconceptions of high school students as the aim of this study. Based on the research objectives, the method of this study is a qualitative method with research design using the Plomp model research design. The subjects of this study were several students and teachers at a school in Cirebon Regency. The results showed that four HOTS questions could be developed based on three aspects, namely, arithmetic, algebra, and geometry. The problem was developed to detect three forms of misconception, namely, theoretical, classification, and correlational misconceptions. The four questions that have been developed were assessed through the readability test of students and teachers, and CVR and CVI tests were carried out on eight mathematics teachers with valid results. Based on these results it can be concluded that the HOTS questions developed can be implemented for students to detect forms of mathematical misconceptions of high school students. 


1972 ◽  
Vol 65 (4) ◽  
pp. 355-370
Author(s):  
Teresa M. Boersig

Probably no subject in the curriculum begins more concretely and ends more abstractly than does mathematics as it travels the brain waves of students from K to 12. From using colored beads and flannel boards to finding zeros of higher-order polynomials or determining whether a given system is a group or a field is a giant step that few complete. While it is not to be expected that all or even most students will persevere through twelve years of mathematics, many capable students quit the ranks too soon.


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