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Proving general sentences in mathematics and justification of mathematical statements by learners of mathematics. The anthropomathematical studies

Anna K. Żeromska — 2015

Didactica Mathematicae

The article contains theoretical considerations and the description of the didactic research which I carried out. Theoretical reflections relate to one of the most important components of mathematical knowledge and skills of students, such as the proving, explaining and justification, as necessary elements included in the mathematical methodology. Theoretical considerations also include the establishment of research-theoretical approach to exploring learning-teaching mathematics process, called...

Kształcenie przyszłych nauczycieli matematyki - wyzwanie edukacyjne

Anna K. Żeromska — 2012

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia

The purpose of this paper is to draw attention to the still current (as compared to the reform of higher education) issue: how should we train mathematics teachers in order to attain the desired outcomes? The article presents an extensive range of thought-provoking questions about what knowledge of well-educated mathematics teachers should be. References to the already existing didactic literature are included. Reflections on this question, containing some arguments as to the direction of the desired...

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