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Harel, Guershon – Research in Mathematics Education, 2019
This commentary reviews each of the three content chapters in the integers section and offers questions to promote further discussion. In addition to the themes raised in the three chapters, I introduce the role of formal mathematical structure in generalizing systems of number, from natural numbers to integers, and analogously, from real numbers…
Descriptors: Number Concepts, Algebra, Children, Abstract Reasoning
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Joseph M. Furner – International Journal of Education in Mathematics, Science and Technology, 2024
This paper will provide several examples of science and mathematics integration: navigation/map-reading, ecology/ecosystems/population growth, and chemistry/molecular structures. This paper underscores integrating STEM subjects with problem-based learning with technology such as video/computer simulations/programming/coding and the dynamic free…
Descriptors: Problem Based Learning, Mathematics Instruction, Educational Technology, Geometry
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Schoenfeld, Alan H. – Journal for Research in Mathematics Education, 2018
In this Research Commentary, the author explores what is meant by "teaching for understanding" and delves into these questions: How does teaching for understanding interact with the backgrounds of the students who experience it or the attributes of the contexts in which they learn? Which empirical findings are context dependent, and…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Comprehension