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Detchat Samart – International Journal of Mathematical Education in Science and Technology, 2024
For a given rational number r, a classical theorem of Niven asserts that if cos(rp) is rational, then cos(rp) [element-of] {0,±1,±1/2}. In this note, we extend Niven's theorem to quadratic irrationalities and present an elementary proof of that.
Descriptors: Mathematics Instruction, Teaching Methods, Validity, Mathematical Logic
Rana J. Y. Aleifat; Ahmad A. S. Tabieh – International Electronic Journal of Mathematics Education, 2025
The purpose of this study is to conduct a bibliometric analysis of the research published in the field of mathematics misconception from 1947 to 2023, to determine the general knowledge structure and participation in research publication. An analytical approach was used based on Scopus database data. This study used mixed methods; quantitative…
Descriptors: Literature Reviews, Bibliometrics, Content Analysis, Mathematics
Arilín Haro; Mario Sánchez Aguilar – International Journal of Mathematical Education in Science and Technology, 2025
This literature review covers 42 years and has two main objectives: to identify the obstacles to learning the polar coordinate system and to explore the teaching proposals suggested to overcome them. These questions are answered by locating and analysing articles related to the topic published in research and practitioner journals specialising in…
Descriptors: Mathematics Instruction, Mathematical Concepts, Barriers, Teaching Methods
Benjamin Adu Obeng; Gideon Mensah Banson; Ebenezer Owusu; Raphael Owusu – Cogent Education, 2024
Students' competence in solving trigonometry has been in doubt but little attention has been given in the area of research. An assessment of students' answers to trigonometry problems is crucial to dealing with their conceptual challenges. This study employed a descriptive qualitative research design, with the goal of evaluating errors made by…
Descriptors: High School Students, Error Patterns, Mathematics Instruction, Trigonometry
Yohannes Tesfaye Sahlu; Mulugeta Woldemichael; Yonas Tessema Achule – International Journal for Mathematics Teaching and Learning, 2025
The purpose of this study was to investigate the types of errors grade 10 students make in solving selected trigonometry problems. Another aim was to understand the origins of these errors that Students make when solving trigonometry problems. Another central purpose of the study was to provide instructional recommendations for addressing the…
Descriptors: Grade 10, Secondary School Students, Error Patterns, Trigonometry
Ivonne Alejandra Toledo-Nieto; José Antonio Juárez-López – Mathematics Teaching Research Journal, 2024
The present educational intervention study focused on addressing some areas of improvement in the teaching and learning of trigonometric ratios in high school students. A diagnostic evaluation was performed that revealed an instrumental understanding of trigonometric concepts by the students. Subsequently, a didactic sequence was implemented that…
Descriptors: High School Students, Mathematics Education, Secondary School Mathematics, Trigonometry
Regina Mahadewsing; Diana Getrouw; Sharon M. Calor – International Electronic Journal of Mathematics Education, 2024
We conducted a descriptive study among first-year engineering students at the Anton de Kom University of Suriname. We analyzed students' errors regarding necessary prior knowledge in a calculus A exam. We found that the stage of the solution in which prior knowledge is required impacts the importance of prior knowledge. We also found that many…
Descriptors: Foreign Countries, College Freshmen, Engineering Education, Error Patterns
Pinta Dewi Lestari; Baiduri Baiduri; Siti Khoiruli Ummah – Journal of Education and Learning (EduLearn), 2024
Student's critical thinking skills that are currently still low are important to develop because they affect the way students think in solving problems. The problem-based learning model with the inquiry method used to help improve student's critical thinking skills. The iSpring learning media used can help students understand the material. The…
Descriptors: Problem Based Learning, Inquiry, Computer Oriented Programs, Critical Thinking
Senol Namli – International Education Studies, 2024
This study investigates the problem-solving strategies employed by ninth-grade students when addressing symbolic and real-world contextual problems involving trigonometric ratios. Conducted with 46 ninth-grade students from a Turkish public high school, this research employed a worksheet consisting of six problems aligned with the Turkish…
Descriptors: Foreign Countries, High School Students, Grade 9, Trigonometry
Roberto C. Trejo – ProQuest LLC, 2024
GeoGebra, a dynamic mathematics software, was used to study high school students' perceptions and achievements in learning trigonometric ratios. The study addresses a critical gap in the literature concerning the use of GeoGebra for understanding trigonometric concepts, particularly in fostering conceptual clarity and problem-solving skills.…
Descriptors: High School Students, Student Attitudes, Mathematics Education, Trigonometry
Angel Mukuka; Benjamin Tatira – Pythagoras, 2025
This study analysed first-year preservice teachers' understanding of trigonometric equations at a South African university in the Eastern Cape province. We employed the Action-Process-Object-Schema (APOS) framework to analyse the mental constructions made by preservice teachers in solving trigonometric equations. A qualitative case study design…
Descriptors: Foreign Countries, Preservice Teachers, Knowledge Level, Trigonometry
Angela E. Stott; Monique Duvenhage – African Journal of Research in Mathematics, Science and Technology Education, 2024
Problem-based learning (PBL) has the potential to enhance both cognitive and affective engagement but has been criticised for being unsuitable for learners with low levels of knowledge and skills, such as South African learners from poor backgrounds. In such cases, guided problem-based learning (GPBL), which includes direct instruction and teacher…
Descriptors: High Achievement, Foreign Countries, Poverty, Extracurricular Activities
Maria Fahlgren; Mats Brunström – International Journal of Mathematical Education in Science and Technology, 2025
This paper provides some insights into the use of example-generating tasks in the design of a technology-rich learning environment to enhance students' mathematical thinking. The paper reports on an early stage of a design-based research project concerning the design of tasks and associated feedback utilising the affordances provided by a combined…
Descriptors: Mathematics Instruction, Educational Technology, Technology Uses in Education, Computer Software
Scott Cameron; Lynda Ball; Vicki Steinle – Mathematics Education Research Group of Australasia, 2024
This paper reports changes in the extent to which a group of Year 11 students used a Computer Algebra System (CAS), pen-and-paper (P&P), or a combination of both, when solving routine problems across seven months in four different topics. Comparing the frequency of CAS use across topics shows students made greater use of CAS in the topics of…
Descriptors: Foreign Countries, High School Students, Grade 11, Mathematics Education
Justine Gerard B. Angeles; Minie Rose C. Lapinid – Mathematics Teaching Research Journal, 2024
Helping students to stay motivated by creating an environment that makes them interact is essential to attaining academic achievement. This action research utilizing mixed methods approach explores the flipped classroom's impact on the students' achievement motivation. Also, a significant focus has been on how students interacted with their…
Descriptors: Academic Achievement, Flipped Classroom, Teaching Methods, Learning Motivation
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