An Analysis of Elementary Functions for 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.

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.


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. 


Author(s):  
Benidiktus Tanujaya

The purpose of this research was to develop an instrument that can be used to measure higher-order thinking skills (HOTS) in mathematics instructional of high school students. This research was conducted using a standard procedure of instrument development, from the development of conceptual definition, development of operational definitions, determination constructs, dimensions, and indicators, to the preparation of blue print, item preparation, expert validation, and testing. Data results from trials be analyzed using factor analysis and analysis of structural equation modeling (SEM). The data analysis shows that there are 9 factors HOTS that construct the instrument with good validity and reliability. This instrument classifies high school students in the five categories of HOTS ability. HOTS grouping results can be used by various interested institutions to evaluate the instructional of mathematics. These evaluations are used to determine the success of student learning and the success of teachers' teaching.


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.


2015 ◽  
Vol 1 (1) ◽  
pp. 65-74
Author(s):  
Benidiktus Tanujaya

The purpose of this research was to develop an instrument that can be used to measure higher-order thinking skills (HOTS) in mathematics instructional of high school students. This research was conducted using a standard procedure of instrument development, from the development of conceptual definition, development of operational definitions, determination constructs, dimensions, and indicators, to the preparation of blue print, item preparation, expert validation, and testing. Data results from trials be analyzed using factor analysis and analysis of structural equation modeling (SEM). The data analysis shows that there are 9 factors HOTS that construct the instrument with good validity and reliability. This instrument classifies high school students in the five categories of HOTS ability. HOTS grouping results can be used by various interested institutions to evaluate the instructional of mathematics. These evaluations are used to determine the success of student learning and the success of teachers' teaching.


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