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Markus Wolfgang Hermann Spitzer; Miguel Ruiz-Garcia; Korbinian Moeller – British Journal of Educational Technology, 2025
Research on fostering learning about percentages within intelligent tutoring systems (ITSs) is limited. Additionally, there is a lack of data-driven approaches for improving the design of ITS to facilitate learning about percentages. To address these gaps, we first investigated whether students' understanding of basic mathematical skills (eg,…
Descriptors: Mathematics Skills, Fractions, Prediction, Mathematical Concepts
Margherita Piroi – Educational Studies in Mathematics, 2025
This study aims at elaborating a well-established theoretical framework that distinguishes three modes of thinking in linear algebra: the analytic-arithmetic, the synthetic-geometric, and the analytic-structural mode. It describes and analyzes the bundle of signs produced by an engineering student during an interview, where she was asked to recall…
Descriptors: Undergraduate Students, Engineering Education, Case Studies, Algebra
Krátká, Magdalena; Eisenmann, Petr; Cihlár, Jirí – International Journal of Mathematical Education in Science and Technology, 2022
The paper is the result of extensive research carried out among Czech students and focuses on a conception of infinity. The questionnaire survey was taken by 861 students ranging from grades 7 to 13. The aim of the research was to describe the development of students' conceptions of infinity. These conceptions are built on the intuitive phenomenon…
Descriptors: Foreign Countries, Secondary School Students, Knowledge Level, Mathematical Concepts
María J. Beltrán-Meneu; Rafael Ramírez-Uclés; Juan M. Ribera-Puchades; Angel Gutiérrez; Adela Jaime – Mathematics Teaching Research Journal, 2024
We present a case study of proving by three 12-13-year-old students with different levels of mathematical giftedness. After analysing students' proofs, we conclude that: there was a relation on the consistency and the students' levels of mathematically giftedness, being the least consistent the student not mathematically gifted and the most…
Descriptors: Academically Gifted, Early Adolescents, Mathematics Skills, Mathematics Instruction
Cui, Zhihao; Ng, Oi-lam; Jong, Morris Siu-Yung – Educational Technology & Society, 2023
Grounded in problem-based learning and with respect to four mathematics domains (arithmetic, random events and counting, number theory, and geometry), we designed a series of programming-based learning tasks for middle school students to co-develop computational thinking (CT) and corresponding mathematical thinking. Various CT concepts and…
Descriptors: Computation, Thinking Skills, Mathematics Education, Problem Based Learning
Ng, Oi-Lam; Leung, Allen; Ye, Huiyan – ZDM: Mathematics Education, 2023
Programming is an interdisciplinary practice with applications in both mathematics and computer science. Mathematics concerns rigor, abstraction, and generalization. Computer science predominantly concerns efficiency, concreteness, and physicality. This makes programming a medium for problem solving that mediates between mathematics and computer…
Descriptors: Computation, Thinking Skills, Programming, Programming Languages
Bajo-Benito, José Mariano; Sánchez-Matamoros García, Gloria; Gavilán-Izquierdo, José María – EURASIA Journal of Mathematics, Science and Technology Education, 2021
This paper aims to characterise an indicator of the development of the number sequence scheme among students at the level of Compulsory Secondary Education (14-16 years old students). To do so, we use a scheme development proposed by the APOS theory to characterise students' use of relations between mathematical elements when solving a…
Descriptors: Secondary School Students, Mathematics Skills, Problem Solving, Number Concepts
Kaup, Camilla Finsterbach; Pedersen, Pernille Ladegaard; Tvedebrink, Torben – Journal of Pedagogical Research, 2023
This study aimed to examine whether a computational thinking (CT) intervention related to (a) number knowledge and arithmetic (b) algebra, and (c) geometry impacts students' learning performance in primary schools. To this end, a quasi-experimental, nonequivalent group design was employed, with 61 students assigned to the experimental group and 47…
Descriptors: Foreign Countries, Elementary School Students, Control Groups, Grade 2
Laurens, Theresia; Kempa, Rudolf; Serpara, Henderika – Online Submission, 2020
Ethnomatemics-based mathematics concept implementation can be carried out through constructivism-based learning such as realistic mathematics, problem-based and learning with a scientific approach. This research purpose to explore the form of ethnomatemics on the woven cabbage leaves of the Tutuwaru community and analyze the process of…
Descriptors: Handicrafts, Mathematics Instruction, Teaching Methods, Mathematical Concepts
Karabey, Burak – Australian Mathematics Education Journal, 2019
This study aims to introduce a method that is based on the relationship between numbers and geometry, which can be used to show the exact location of rational numbers on the number line, compare rational numbers, make calculations, and examine rational numbers conceptually through parallel lines. It is believed that this method will to contribute…
Descriptors: Number Concepts, Geometry, Geometric Concepts, Computation
Alves, Francisco Regis Vieira; Barros, Francisco Evamar – Acta Didactica Napocensia, 2019
The study and interest of figurate numbers can be observed even in ancient Greece. On the other hand, it becomes very important the historical understanding about an evolutionary process and the particular generalization of such 2D, 3D and m-D figurate numbers and they remain the interest of current scientific investigations. On the other hand, in…
Descriptors: Mathematics Instruction, Visualization, Educational Technology, Computer Software
Al Farra, Nabil Kamal; Al Owais, Najla Sultan; Belbase, Shashidhar – Mathematics Teaching Research Journal, 2022
The purpose of this study was to analyze the problem-solving techniques that students in a fifth-grade classroom applied while solving mathematical word problems. Fifth-grade students in a private school with Ministry of Education curricula in Al Ain, Abu Dhabi, were given a set of 15-word problems to solve with detailed justifications. The…
Descriptors: Foreign Countries, Mathematics Instruction, Problem Solving, Word Problems (Mathematics)
Desli, Despina; Lioliou, Anastasia – International Electronic Journal of Mathematics Education, 2020
The present study attempted to explore the relationship between computational estimation and problem solving in a sample of Year 6 children and adults (N=72). For this purpose, participants were presented with two tasks which asked them to estimate the computational result in eight arithmetic operations (Computational Estimation Task) as well as…
Descriptors: Computation, Thinking Skills, Mathematics Skills, Problem Solving
Hariastuti, Rachmaniah Mirza; Budiarto, Mega Teguh; Manuharawati – International Journal of Educational Methodology, 2022
Traditional houses are part of the culture of every country. Indonesia is a country that has a variety of traditional houses. The traditional Banyuwangi house is known as the "Using" house. This house can be explored in terms of ethnomathematics and used as part of learning mathematics. This research is focused on knowing and describing…
Descriptors: Foreign Countries, Mathematics Instruction, Mathematical Concepts, Housing
Samková, Libuše; Rokos, Lukáš; Vízek, Lukáš – Journal on Efficiency and Responsibility in Education and Science, 2021
This contribution belongs to a larger empirical study that focuses on issues related to the implementation of inquiry-based learning and formative assessment in science and mathematics education, while it also refers to the issue of STEM education. Here, we discuss the two topics from the perspective of professional preparation of primary school…
Descriptors: Logical Thinking, Thinking Skills, Inquiry, Elementary School Teachers