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Murray, Eileen – Research in Mathematics Education, 2018
Mathematics educators advocate for the use of models as an instructional practice that can potentially aid in building students' understanding of difficult topics. Integers and integer operations are historically problematic for students and are critically important in both arithmetic and the future study of algebra. In this chapter, I explore one…
Descriptors: Mathematical Models, Numbers, Mathematics Instruction, Problem Solving
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
Verschaffel, Lieven; Schukajlow, Stanislaw; Star, Jon; Van Dooren, Wim – ZDM: The International Journal on Mathematics Education, 2020
Word problems are among the most difficult kinds of problems that mathematics learners encounter. Perhaps as a result, they have been the object of a tremendous amount research over the past 50 years. This opening article gives an overview of the research literature on word problem solving, by pointing to a number of major topics, questions, and…
Descriptors: Word Problems (Mathematics), Mathematics Instruction, Comprehension, Teaching Methods