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Understanding and promoting students' mathematical thinking: a review of research published in ESM
In this paper, we offer a comparative review of research on understanding and promoting
students' mathematical thinking. The sources for the review are papers that were published …
students' mathematical thinking. The sources for the review are papers that were published …
Argumentación en educación matemática: elementos para el diseño de estudios desde la revisión bibliográfica
Diversos estudios han comentado la importancia de la argumentación en la construcción de
conocimiento matemático y las implicaciones en el desarrollo de competencias. Estos …
conocimiento matemático y las implicaciones en el desarrollo de competencias. Estos …
When students offer explanations without the teacher explicitly asking them to
The act of explaining can help students to develop new understandings of mathematical
ideas, construct rules for solving problems, become aware of misunderstandings or a lack of …
ideas, construct rules for solving problems, become aware of misunderstandings or a lack of …
Lessons learned about incorporating high-leverage teaching practices in the undergraduate proof classroom to promote authentic and equitable participation
In recent years, professional organizations in the United States have suggested
undergraduate mathematics shift away from pure lecture format. Transitioning to a student …
undergraduate mathematics shift away from pure lecture format. Transitioning to a student …
[HTML][HTML] The opaque nature of generic examples: The structure of student teachers' arguments in multiplicative reasoning
K Rø, KK Arnesen - The Journal of Mathematical Behavior, 2020 - Elsevier
The study aims to explore the structural aspects of generic examples, to get better insight
into what makes them potentially opaque for learners. We have analyzed 27 written …
into what makes them potentially opaque for learners. We have analyzed 27 written …
[HTML][HTML] Scaffolds for seeing, using, and articulating logical structures in proofs: Design research study with high school students
Logical structures count as critical learning content for learning to prove. They are often not
sufficiently explicated, and students struggle to use and articulate them in their proofs. In this …
sufficiently explicated, and students struggle to use and articulate them in their proofs. In this …
Learning to attend to precision: The impact of micro-teaching guided by expert secondary mathematics teachers on pre-service teachers' teaching practice
J Cheng - ZDM, 2017 - Springer
Micro-teaching at universities and student teaching in secondary schools are standard forms
of practice training for pre-service mathematics teachers in Chinese university teacher …
of practice training for pre-service mathematics teachers in Chinese university teacher …
Exploring students' thinking process in mathematical proof of abstract algebra based on Mason's framework
Mathematical proof is a logically formed argument based on students' thinking process. A
mathematical proof is a formal process which needs the ability of analytical thinking to solve …
mathematical proof is a formal process which needs the ability of analytical thinking to solve …
Preservice teachers' argumentation and some relationships to didactic-mathematical knowledge features
WF Castro, JH Durango-Urrego… - Eurasia Journal of …, 2021 - ejmste.com
This paper presents research on the argumentation that preservice teachers perform when
designing and teaching geometry. Argumentation is associated with speech acts carrying …
designing and teaching geometry. Argumentation is associated with speech acts carrying …
Learning to meet language demands in multi-step mathematical argumentations: Design research on a subject-specific genre
Formal multi-step mathematical argumentations are a typical case of a highly specified
subject-specific genre in the technical language with challenging demands in the academic …
subject-specific genre in the technical language with challenging demands in the academic …