Examples of junior secondary school students’ attitudes toward mathematical problems
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Selected didactic issues concerning teaching mathematical induction
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Diagnoza wiedzy uczniów szkół ponadgimnazjalnych i studentów matematyki na temat związku twierdzenia z jego dowodem
The paper presents results of research carried out on the two following levels of mathematics education: the high school level and the level of pre-service Mathematics teachers training. The subject of the research was understanding the relations between mathematical theorem and its proof by the study participants.
Proving general sentences in mathematics and justification of mathematical statements by learners of mathematics. The anthropomathematical studies
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...
Students' outlook on school mathematics - an excerpt from a research on anthropo-mathematical aspects of the teaching-learning process
Students' outlook on school mathematics - an excerpt from a research on anthropo-mathematical aspects of the teaching-learning process
Kształcenie przyszłych nauczycieli matematyki - wyzwanie edukacyjne
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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Jak studenci matematyki oceniają poprawność dowodu matematycznego
Artykuł prezentuje wyniki badania umiejętności oceniania poprawności dowodówmatematycznych przez 74 studentów matematyki (polskich i słowackich)– przyszłych nauczycieli matematyki. Badani mieli za zadanie zapoznaćsię z dwoma autentycznymi rozumowaniami pochodzącymi od innych studentówmatematyki (S1 i S2), uznanymi przez ich autorów za dowody pewnegotwierdzenia. Obydwa rozumowania były błędne, choć każde z innego powodu.Analiza zebranego materiału badawczego była nastawiona na zidentyfikowaniei scharakteryzowanie...
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