Language: English

Published: Hemet, California: Education System Publisher, 1983

Language: English

ISSN: 0040-7887

Language: English

Published: New York: American Montessori Society, 1964

Language: German

Published: München: Kindler, 1978

ISBN: 3-463-00716-9

Language: English

ISSN: 0571-1142

Abstract/Notes: Froebel and Montessori are compared in their approaches for teaching preschool children the concept of number, numerical calculation, vulgar fraction and geometrical concepts. Froebel's approach is largely metaphysical whereas Montessori's is largely sensorial. But their approaches are not diametrically opposed to each other but rather cmoplementary to each other from the educational view point. Their different claims or views should be closely studied and objectively evaluated through various experiments, before any of them are seriously incorporated in our educational practices.

Language: Korean

Abstract/Notes: Address delivered on the occasion of the publication of the Spanish edition of Psicoaritmetica and Psicogeometria. (per Grazzini, Algebra, p. 93.) The Psychology of Mathematics An address given to the Cambridge Education Society at Trinity College (Cambridge, England), October 16, 1935. Also publshed in Montessori Notes, v2 n15 167-168 November

Language: English

ISSN: 0519-0959

Language: Croatian

ISSN: 1332-3008, 1849-1650

Abstract/Notes: Metacognition is a part of the models of self-regulated learning. The consideration of a broader context resonates with a social cognitive perspective approach to learning which dominates the educational academic field with the theory of self-regulated learning. Metacognition is considered a crucial factor influencing mathematics achievement. Furthermore, the affective field including pupils' self-efficacy, interest and motivation are the phenomena involved in mathematical problem-solving. On the other hand, metacognitive knowledge and metacognitive regulations are not a regular part of mathematics education in the Czech Republic. The main aim of this study was to investigate the relation between pupils' attitude toward mathematics; metacognitive knowledge; self-efficacy and motivation; metacognitive monitoring; and their achievement in solving mathematical problems. All together 1,133 students of Grade 5 from four types of Czech schools participated in the study. There were traditional schools; schools teaching mathematics by genetic constructivism, i.e., Hejný's method; Montessori schools; and Dalton schools were involved. The assessed variables, namely relation to mathematics; metacognitive knowledge; self-efficacy and motivation; metacognitive monitoring; and mathematical achievement were used as an input to regression analysis. Item-response theory was used for assessing the performance of the students and demands of the tasks. The metacognitive monitoring was detected as the most significant predictor of mathematics achievement for higher- and lower-performing students as well as for the item with high and low demands. The study reveals how the different mathematics curricula (un)support the metacognitive processes involved in mathematical problem-solving. The information allows teachers to spend sufficient time with particular types of mathematics problems whose solutions is determined by activation of metacognitive processes. This demonstrates the importance of including the activities for development of metacognitive monitoring in mathematics education.

Language: English

DOI: 10.3389/fpsyg.2022.963151

ISSN: 1664-1078

Abstract/Notes: The objective of this small study was to elicit responses from early childhood teachers in India on mathematics learning strategies and to measure the extent of finger counting technique adopted by the teachers in teaching young children. Specifically, the research focused on the effective ways of teaching mathematics to children in India, and examined teachers’ approach to number counting. In India, children were taught by their parents or by their teachers to use fingers to count. The qualitative study conducted by the researcher further enriched the topic with first‐hand comments by the teachers. Although the finger counting method was not the only process that teachers would adopt, it was embedded in the culture and taken into consideration while infusing mathematics skills. The teachers confirmed adopting the Indian method of finger counting in their teaching strategy; some specified that the method helped children to undertake addition and subtraction of carrying and borrowing, as counting by objects could not be available all the time. Although the study is limited by its small sample to the unique mathematics learning experience in India, it provides readers with a glimpse of culturally responsive teaching methods and an alternative mathematics teaching strategy.

Language: English

DOI: 10.1080/09669760500446374

ISSN: 0966-9760