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Lu, Yu; Chen, Penghe; Pian, Yang; Zheng, Vincent W. – IEEE Transactions on Learning Technologies, 2022
In this article, we advocate for and propose a novel concept map driven knowledge tracing (CMKT) model, which utilizes educational concept map for learner modeling. This article particularly addresses the issue of learner data sparseness caused by the unwillingness to practice and irregular learning behaviors on the learner side. CMKT considers…
Descriptors: Concept Mapping, Learning Processes, Prediction, Models
Serife Sevinc; Cheryl Lizano – Mathematics Education Research Journal, 2024
This study aimed to explore preservice elementary teachers' use of a bar model as a heuristic for conceptualising relationships between quantities in situations involving ratio and percentages. As a part of a larger project, we focused on two preservice teachers, Maia and Jane, and investigated their solution paths in ratio and percentage problems…
Descriptors: Problem Solving, Mathematics, Preservice Teachers, Teacher Education Programs
Fukushima, Takumi – International Journal of Mathematical Education in Science and Technology, 2023
This study aims to clarify the role of generating questions in mathematical modeling and construct principles for teaching and learning mathematical modeling with an emphasis on generating questions. To achieve this purpose, the role of generating questions was determined by solving a sprinkler problem and considering the investigation process.…
Descriptors: Mathematical Models, Mathematics Instruction, Teaching Methods, Problem Solving
Karina Nuñez-Gutierrez; Camilo Andrés Rodríguez-Nieto; Lisseth Correa-Sandoval; Vicenç Font Moll – International Electronic Journal of Mathematics Education, 2025
The variational thinking of high school students based on mathematical connections was analyzed through a laboratory on linear functions. This qualitative research based on design was developed in three phases: diagnostic test, implementation of the mathematics laboratory and final test, with students from a public institution in Barranquilla,…
Descriptors: High School Students, Thinking Skills, Mathematics Instruction, Task Analysis
Højgaard, Tomas; Hansen, Rune – International Journal of Mathematical Education in Science and Technology, 2022
This article is about utilizing the process of building and exploiting models as a framework for inquiry in mathematics education research. We introduce and discuss a model of such a process and compare this model with key methodological features of design research in mathematics education. We argue that despite several communalities, educational…
Descriptors: Mathematical Models, Mathematics Education, Educational Research, Research Methodology
Son, Aloisius Loka – Mathematics Teaching Research Journal, 2022
Mathematical connections are essential to emphasize in the learning process, to make students see mathematics as useful, relevant, integrated, and able to solve various mathematical problems. This study was conducted to analyze the comparison of achievement and improvement of students' abilities on mathematical connections based on learning model…
Descriptors: Mathematics Skills, Mathematical Logic, Thinking Skills, Learning Processes
Aydogdu, Seyhmus – Journal of Educational Computing Research, 2021
Student modeling is one of the most important processes in adaptive systems. Although learning is individual, a model can be created based on patterns in student behavior. Since a student model can be created for more than one student, the use of machine learning techniques in student modeling is increasing. Artificial neural networks (ANNs),…
Descriptors: Mathematical Models, Artificial Intelligence, Bayesian Statistics, Learning Processes
Lehmann, Timothy H. – International Journal of Science and Mathematics Education, 2022
Network analysis is a topic in secondary mathematics education of growing importance because it offers students an opportunity to understand how to model and solve many authentic technology and engineering problems. However, very little is known about how students make sense of the algorithms typically used in network analysis. In this study, I…
Descriptors: Mathematics, Computation, Network Analysis, Secondary School Mathematics
Paola Iannone; Athina Thoma – International Journal of Mathematical Education in Science and Technology, 2024
Programming is becoming increasingly common in mathematics degrees as it is a desirable skill for new graduates. However, research shows that its use is mostly restricted to computational or modelling tasks. This paper reports a study on students' perceptions of and difficulties with Lean, an interactive theorem prover introduced as part of a…
Descriptors: Programming, Mathematics Instruction, Computer Science Education, Student Attitudes
Chamberlin, Scott; Payne, Anna M.; Kettler, Todd – International Journal of Mathematical Education in Science and Technology, 2022
The purpose of this literature review is to explicate the facets of mathematical problem solving taxonomies in relation to mathematical modeling. Subsequently, components and learning benefits of mathematical modeling are discussed. Examples of mathematical problems are embedded in the discussion and pragmatic applications to mathematical…
Descriptors: Mathematics Instruction, Mathematical Models, Problem Solving, Taxonomy
English, Lyn – International Journal of Science and Mathematics Education, 2023
This study investigated sixth-grade students' development of multidisciplinary models involving the integration of mathematics, science, and statistics, together with shared STEM practices. Mathematics and science featured a reciprocal relationship within the real-world context of tsunami inundation. Experimenting with water tubs comprising…
Descriptors: Interdisciplinary Approach, Teaching Methods, Mathematics Instruction, Natural Disasters
González, Antonio; Gavilán-Izquierdo, José María; Gallego-Sánchez, Inés; Puertas, María Luz – Journal on Mathematics Education, 2022
The need to develop consistent theoretical frameworks for the teaching and learning of discrete mathematics, specifically of graph theory, has attracted the attention of the researchers in mathematics education. Responding to this demand, the scope of the Van Hiele model has been extended to the field of graphs through a proposal of four levels of…
Descriptors: Graphs, Validity, Mathematics Instruction, Geometry
Geiger, Vince; Galbraith, Peter; Niss, Mogens; Holland-Twining, Ben – Mathematics Education Research Group of Australasia, 2022
Competency with mathematical modelling is increasingly important for career and informed and engaged participation in personal, civic and work life. In this paper we report on an aspect of a three-year longitudinal study that aimed to identify and describe enablers of mathematical modelling. Teacher interview data has been drawn upon to exemplify…
Descriptors: Mathematical Models, Mathematics Skills, Skill Development, Competence
Prediger, Susanne; Roesken-Winter, Bettina; Leuders, Timo – Journal of Mathematics Teacher Education, 2019
Given the challenges of scaling up content-related professional development (PD), the PD facilitators have gained increasing attention in PD research. In this mainly programmatic and structural article, we try to systematize existing research strategies which take into account the multifaceted and multi-level structure of PD research. We discuss…
Descriptors: Facilitators (Individuals), Mathematical Models, Professional Development, Research Methodology
Prahmana, Rully Charitas Indra; Yunianto, Wahid; Rosa, Milton; Orey, Daniel Clark – Journal on Mathematics Education, 2021
Mathematics exists as rooted in human ideas, ways, and techniques to respond to their environments. Along with its development, mathematics has been taught through formal education or schooling in the flat- not flexible ways and far from students' social and cultural lives. Indonesia is rich with culture, including the Special Region of Yogyakarta…
Descriptors: Mathematics Instruction, Teaching Methods, Learning Processes, Cultural Education