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Kollosche, David – Educational Studies in Mathematics, 2021
Although reasoning is a central concept in mathematics education research, the discipline is still in need of a coherent theoretical framework of mathematical reasoning. With respect to epistemological problems in the dominant discourses on proof, mathematical modelling, and post-truth politics in the discipline, and in accordance with trends in…
Descriptors: Cognitive Style, Thinking Skills, Mathematics Education, Mathematical Models
Gravemeijer, Koeno; Stephan, Michelle; Julie, Cyril; Lin, Fou-Lai; Ohtani, Minoru – International Journal of Science and Mathematics Education, 2017
This paper attempts to engage the field in a discussion about what mathematics is needed for students to engage in society, especially with an increase in technology and digitalization. In this respect, mathematics holds a special place in STEM as machines do most of the calculations that students are taught in K-12. We raise questions about what…
Descriptors: Mathematics Education, Mathematics Skills, Futures (of Society), Mathematical Logic
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
Sawatzki, Carly; Brown, Jill; Zmood, Simone – Australian Mathematics Education Journal, 2022
The proposed revisions to the "Australian Curriculum: Mathematics" highlight the importance of learning to mathematise, problem-solve and reason in real world contexts, including financial contexts. Through the Economics + Maths = Financial Capability research project, the authors have been imagining fresh ideas for connecting the…
Descriptors: Futures (of Society), National Curriculum, Mathematics Skills, Problem Solving
Noll, Jennifer; Clement, Kit; Dolor, Jason; Kirin, Dana; Petersen, Matthew – ZDM: The International Journal on Mathematics Education, 2018
Initial research has shown that simulating data from models created with computer software may enhance students' understanding of concepts in introductory statistics; yet, there is little research investigating students' development of statistical models. The research presented here examines small groups of students as they develop a model for a…
Descriptors: Statistics, Mathematics Instruction, Mathematical Models, Computer Software