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The Compound Area of Quadrilaterals and Triangles: A Worked Example Based Learning Design Retnowati, Endah; Fadlila, Nindy
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 1 (2023): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i1.11678

Abstract

Complex yet hierarchical mathematical material in fact does not mean that the process of schema acquisition and accommodation in long-term memory is easy. For an instance, year seven students learn to solve problems related to the compound area of quadrilaterals and triangles. This problem may be categorized as a well-structured problem, therefore, it might be procedurally obvious to reach the solution, for those who have possessed sufficient prior knowledge of the aspects of the shapes. This study aims to discuss instructional strategy for novices when learning to solve problems like these. Based on a cognitive load theory, the strategy of worked example could be applied effectively for novices. The design of the worked example must be presented in such a way it could minimize extraneous cognitive load. The composite shapes of quadrilateral and triangles might be challenging to be described in an integrated format to avoid the split attention effect. This paper shows how this can be done by using techniques, such as (1) number sequences of the solution steps; (2) different colors for prompting attention resource; (3) less wording, more procedure application; and (4) consistency of layout within overall material. In order to apply these, the instructional designers should follow ADD steps, (1) Analyze the learning content, arrange them accordingly; (2) Design one worked example, evaluate its accuracy and niche; and (3) Develop into several worked example pairs. Two worked example with paired problems have been successfully developed and declare valid. Eventually, it might be suggested that comprehensive consideration when designing worked example that contain pictures should reflects how students use their cognitive resource during learning.
The Important Role of Principal in Academic Supervision to Improve Teacher Competency in Society 5.0 Era Sukmara, Ganda; Yuliana, Lia; Retnowati, Endah; Jannah, Nita Maghfiratul
Cendekia: Kependidikan dan Kemasyarakatan Vol 21 No 2 (2023)
Publisher : IAIN Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21154/cendekia.v21i2.6926

Abstract

This research analyzes theories and strategies for increasing teacher competency through academic supervision. This research used a qualitative literature review method. The collected articles were selected using purposive sampling, resulting in 120 relevant books and articles. The document findings were then analyzed and sorted into three main topics: educational supervision, teacher competency, and the era of society 5.0. After grouping the data based on the themes above, 10 articles and books were found on topics related to educational supervision, 10 articles and books on teacher competency, and 5 on the era of society 5.0. The research results show that school (madrasah) principals must have expertise and seriousness in supervising educational institutions, especially academic supervision, which aims to improve teacher competence. Academic supervision involves planning, implementation, and evaluation with the principles of objectivity and continuous improvement. With this research, it is hoped that it can be used as a model for effective academic supervision by school principals and teachers in the information technology era.
Can Growth Mindset Affirmation be Advantageous for More-knowledgeable Learners? Noka Setya Maharani; Retnowati, Endah; Ellen Lee
Hipotenusa: Journal of Mathematical Society Vol. 7 No. 2 (2025): Hipotenusa: Journal of Mathematical Society
Publisher : Program Studi Tadris Matematika Universitas Islam Negeri (UIN) Salatiga

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18326/hipotenusa.v7i2.2618

Abstract

Growth mindset is known as a believe that intelligent can be learned. Learning anxiety might occur due to self-doubt that one has an ability to learn, such as in a complex topic in mathematics. Therefore, it is assumed that a positive affirmation that directs growth-mindset might be used to manage anxieties in learning mathematics. This study was aimed to investigate that beside the worked example might increase extraneous cognitive load for more knowledgeable learners, it might also be possible it affects anxiety. A total of 128 Indonesian junior high school students were randomly placed in four experiment groups by using the 2x2 factorial design (with vs. without growth mindset affirmation) x (worked example vs. problem solving based instruction) to examine the instruction on transfer abilities, cognitive loads, and level of anxieties. Using ANOVA(s), findings support the expertise reversal effect that the worked examples were disadvantageous for more knowledgeable learners. The data reveals that they also experienced significantly higher anxiety during learning compared to the counterparts. Nevertheless, no effects were found in favor of the growth mindset affirmation.
Adding self-explanation when learning goal free problems could be beneficial Hidayah, Sendy; Retnowati, Endah; Thoe, Ng Khar
PYTHAGORAS Jurnal Matematika dan Pendidikan Matematika Vol. 20 No. 1 (2025)
Publisher : Department of Mathematics Education, Faculty of Mathematics and Natural Sciences, UNY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/pythagoras.v20i1.79774

Abstract

Goal free problem is a strategy to present a geometrical problem by removing the final goal in order to direct students not to use a means ends analysis. The purpose of this research was to examine whether adding self-explanation instruction could improve its effectiveness with regard to students' problem-solving abilities and cognitive load. Using Geometry (the relationship among angles) as part of the national curriculum, a quasi-experimental research was employed. The post-test only group experimental design, comparing studying with self-explanation and without self-explanation, involved sixty four seven-graders from four parallel authentic classrooms in a junior high school in Central Java, Indonesia while the previous math test score was used as covariate. The covariate did not have ssignificant linierity meaning that both experimental groups were randomly assigned and had indifferent level of prior knowledge before the experiment was executed. The overall evidence indicated that with or without self-explanation, both groups of students who were given goal free problems did not have significant difference in terms of  problem-solving abilities. However, there was a significant difference on level of cognitive load. Learning goal free problems with self-explanation could be more effective because this strategy causes a lower cognitive load than those without self-explanation. This study suggests that the instruction of self-explanation might lower extraneous cognitive load and improve learning.
PENGARUH STRATEGI PROCESS-ORIENTED ERRORNEOUS WORKED EXAMPLE DALAM PEMBELAJARAN PERSAMAAN KUADRAT SMP TERHADAP KEMAMPUAN RETENSI, TRANSFER, DAN COGNITIVE LOAD Maghfiroh, Hany Rizky; Retnowati, Endah
Jurnal Pedagogi Matematika Vol 11, No 3 (2025): Jurnal Pedagogi Matematika
Publisher : Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jpm.v11i3.22378

Abstract

Penelitian ini dilakukan dengan tujuan untuk mengetahui: (1) perbedaan pengaruh strategi process oriented errorneous  terhadap kemampuan retensi; (2) perbedaan pengaruh strategi process oriented error terhadap kemampuan transfer; (3) perbedaan pengaruh strategi process oriented error terhadap cognitive load. Penelitian ini menggunakan pendekatan kuantitatif eksperimen. Penelitian ini menggunakan materi persaman kuadrat dan menggunakan uji ancova. Hasil penelitian menunjukkan bahwa: (1) Tidak terdapat perbedaan pengaruh strategi process-oriented errorneous worked example dalam pembelajaran persamaan kuadrat terhadap kemampuan retensi peserta didik, (2) Terdapat perbedaan pengaruh strategi process-oriented errorneous worked example dalam pembelajaran persamaan kuadrat terhadap kemampuan transfer peserta didik, (3) Tidak terdapat perbedaan pengaruh strategi process-oriented errorneous worked example dalam pembelajaran persamaan kuadrat terhadap kemampuan cognitive load peserta didik selama tes kemampuan retensi, (4) Tidak terdapat perbedaan pengaruh strategi process-oriented errorneous worked example dalam pembelajaran persamaan kuadrat terhadap kemampuan cognitive load peserta didik selama tes kemampuan transfer.