Faculty of Education - Theses
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ItemThe blue one means ten: a study of place value in Montessori schools( 1994)This study examines the proposal that the Montessori method of education assists the child to learn mathematics in general and whole number place value in particular in an effective way. Place value was chosen because it is a pivotal concept in mathematics education. Montessori's work is reviewed along with other educational theorists such as Piaget, Skemp, Bruner, Dienes and Hughes. The concept of place value is defined and analysed in terms of 1 skill groups which weave together to compose the concept. Interviews were conducted with 17 9 year old children currently enrolled in Montessori schools in Melbourne and Perth using questions which involved use of concrete materials as well as an ability to work in the abstract. The results supports the proposal that the Montessori method of education does assist the child to learn place value. The child's understanding at a concrete level is strong. The results reveal some variability in the children's ability to work in the abstract. It is recommended that Montessori teachers encourage the 3-6 year old child to use the Golden Bead material extensively. The 6-9 year old child should be encouraged to move into the abstract as soon as he or she shows signs of leaving the materials behind. The results demonstrated a lack of confidence in attempting unusual mathematical tasks in the children at 1 school which indicates the importance of all Montessori teachers giving opportunities for children to be adventurous in their mathematical thinking and for the children to take opportunities to write their own mathematical work instead of using prepared questions continually.