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Antonini, Samuele – ZDM: The International Journal on Mathematics Education, 2019
The formal acceptance of a mathematical proof is based on its logical correctness but, from a cognitive point of view, this form of acceptance is not always naturally associated with the feeling that the proof has necessarily proved the statement. This is the case, in particular, for proof by contradiction in geometry, which can be linked to a…
Descriptors: Intuition, Mathematics Instruction, Geometry, Mathematical Logic
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Ayieko, Rachel Angela – Global Education Review, 2018
The article provides a report on the comparison of Opportunities to Learn algebra and eighth grade students' algebra achievement in three countries: Botswana, Singapore and the United States. The study used student and teacher data from the Trends in International Mathematics and Science Study (2011 and 2015). By using a multilevel regression…
Descriptors: Correlation, Algebra, Mathematics Achievement, Mathematics Education
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Sabbag, Anelise; Garfield, Joan; Zieffler, Andrew – Statistics Education Research Journal, 2018
Statistical literacy and statistical reasoning are important learning goals that instructors aim to develop in statistics students. However, there is a lack of clarity regarding the relationship among these learning goals and to what extent they overlap. The REasoning and Literacy Instrument (REALI) was designed to concurrently measure statistical…
Descriptors: Statistics, Mathematics Instruction, Protocol Analysis, Thinking Skills
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Aminah, Mimih; Kusumah, Yaya Sukjaya; Suryadi, Didi; Sumarmo, Utari – International Journal of Instruction, 2018
This paper reports the findings of a quasi-experiment that aims to investigate the role of metacognitive teaching-learning (MTL) and mathematical prior knowledge (MPK) on students' mathematical logical thinking ability (MLTA) and self-regulated learning (SRL). The subject of the study was 70 tenth-grade students inSumedang, Indonesia. One…
Descriptors: Metacognition, Mathematical Logic, Mathematics Instruction, Teaching Methods
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Mendes, Iran Abreu; da Silva, Carlos Aldemir Farias – International Electronic Journal of Mathematics Education, 2018
In this article we present our arguments in favor of a teaching of mathematics by means of problematization and investigation, one that includes in the classroom multiple ways and meanings for the students to read the world around them. In this respect, we propose a teaching-learning process of mathematics grounded on the relationships between…
Descriptors: Teaching Methods, Mathematics Instruction, Mathematics Teachers, Learning Processes