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Xu, Wenjing; Meng, Qun – Science Insights Education Frontiers, 2023
The Compulsory Education Course Standards for Mathematics 2022 have highlighted the educational objectives of junior secondary mathematics by emphasizing the development of mathematical competence and practical learning. Model consciousness, as one of the fundamental mathematical competencies to be developed at the junior secondary level, can…
Descriptors: Geometry, Mathematics Instruction, Standards, Educational Objectives
Gascón, Josep; Nicolás, Pedro – International Journal of Mathematical Education in Science and Technology, 2022
We consider the following hypothesis: whereas, the institutions in charge of the teaching of mathematics for future professional mathematicians (IPM, in short) share a "didactic paradigm" (strongly based on logical arguments), there does not seem to be such a thing in secondary mathematics education. In this work, we analyse the notion…
Descriptors: Mathematics Education, Secondary School Mathematics, Models, Mathematics Teachers
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
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