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Book

Psychoarithmetic: Arithmetic Developed Under the Guidelines Outlined by Child Psychology

Maria Montessori - Writings

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Abstract/Notes: Psychoarithmetic by Maria Montessori provides a view of the working of the human mind through the lens of exercises and study of mathematics (arithmetic, geometry, and algebra and their relationships), as well as applied mathematics in the form of measurement. The intention of the book, to forge a link between psychology and mathematics, is obvious from the title. The book demands that the reader attend to each and every detail while at the same time keeping in mind that all the details form part of the whole one is trying to understand. The book also pays homage to the people throughout the ages who have thought and found ways to solve their daily problems of living through mathematics. Yet without developing the mind through exploring mathematics, one cannot utilize these ideas. So the book is intended to be a handbook, for both children and adults, of how to help the mind develop in order to fulfil its potential.

Language: English

Published: Amsterdam, The Netherlands: Montessori-Pierson Publishing Company, 2016

Series: The Montessori Series , 20

Article

Longitudinal Comparison of Montessori versus Non-Montessori Students’ Place-Value and Arithmetic Knowledge

Available from: University of Kansas Libraries

Publication: Journal of Montessori Research, vol. 2, no. 1

Pages: 1-15

Americas, Comparative education, Mathematics education, Montessori method of education - Evaluation, North America, United States of America

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Abstract/Notes: Base-10 and place value understanding are important foundational math concepts that are associated with higher use of decomposition strategies and higher accuracy on addition problems (Laski, Ermakova, & Vasilyeva, 2014; Fuson, 1990; Fuson & Briars, 1990; National Research Council, 2001). The current study examined base-10 knowledge, place value, and arithmetic accuracy and strategy use for children in early elementary school from Montessori and non-Montessori schools. Children (N = 150) were initially tested in either kindergarten or first grade. We followed up with a subgroup of the sample (N = 53) two years later when the children were in 2nd and 3rd grade. Although Montessori curriculum puts a large emphasis on the base-10 structure of number, we found that children from Montessori schools only showed an advantage on correct use of base-10 canonical representation in kindergarten but not in first grade. Moreover, there were no program differences in place value understanding in 2nd and 3rd grade. Although Montessori children used different strategies to obtain answers to addition problems in 2nd and 3rd grade as compared with non-Montessori children, there were no program differences in addition accuracy at any grade level. Educational implications are discussed.

Language: English

DOI: 10.17161/jomr.v2i1.5677

ISSN: 2378-3923

Article

Psychogeometry and Psychoarithmetic

Publication: Communications (Association Montessori Internationale, 195?-2008), vol. 2007, no. 2

Pages: 10–15

Arithmetic, Geometry, Maria Montessori - Speeches, addresses, etc., Mathematics education, Mathematics education, ⛔ No DOI found

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Abstract/Notes: Lecture, 1930s; introduction and explanatory notes by Camillo Grazzini

Language: English

ISSN: 0519-0959

Article

Observations of Instruction in Lower-Grade Arithmetic in English and Scottish Schools

Available from: JSTOR

Publication: Arithmetic Teacher, vol. 7, no. 4

Pages: 165-177

England, Europe, Great Britain, Northern Europe, Scotland, United Kingdom

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Language: English

DOI: 10.5951/AT.7.4.0165

ISSN: 0004-136X

Report

Effectiveness of Direct Verbal Instruction on IQ Performance and Achievement in Reading and Arithmetic [Academic Preschool, Champaign, Illinois]

Available from: ERIC

Academic achievement, Americas, Arithmetic, Early childhood care and education, Early childhood education, Literacy, Mathematics education, North America, Reading, United States of America

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Abstract/Notes: This experiment was based on the assumption that the academic failure of the disadvantaged or middle class child is due to a failure of instruction and that if above-normal learning schedules were maintained, the second year of an enrichment program would not show the customary drop in gains from the first year. The subjects of this study were 43 disadvantaged Negro and white 4-year-olds of high, middle, and low intelligence. Fifteen of the children were placed in an experimental group (I) and 28 in a control group (II). A 2-year program involving a group (III) of middle class 4-year-olds was also conducted, with a control group (IV) consisting of middle class 4-year-olds in a Montessori preschool. Groups I and III received a 2-year experimental program in which rapid attainment of basic academic concepts was emphasized. Group II received a 2-year traditional preschool education. Group I achieved significantly greater Stanford-Binet IQ gains than Group II and maintained them over the 2-year program. Group III children also benefited measureably from the program and demonstrated greater achievement in many areas than Group IV.

Language: English

Published: Washington, D.C., 1966

Book Section

Teaching How to Count and an Introduction to Arithmetic

Book Title: The Discovery of the Child

Pages: 279-292

Maria Montessori - Writings

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Abstract/Notes: Formerly entitled The Montessori Method: Scientific Pedagogy as Applied to Child Education in the Children's Houses. This book was first published in 1909 under the title 'Il Metodo della Pedagogia Scientifica Applicato all'Educazione Infantile nelle Case dei Bambini' ('The Montessori Method: Scientific Pedagogy as Applied to Child Education in the Children's Houses) and was revised in 1913, 1926, and 1935. Maria Montessori revised and reissued this book in 1948 and renamed it 'La Scoperta del Bambino'. This edition is based on the 6th Italian edition of 'La Scoperta del Bambino' published by the Italian publisher Garzanti, Milan, Italy in 1962. M. J. Costelloe, S. J. translated this Italian version into the English language in 1967 for Fides Publishers, Inc. In 2016 Fred Kelpin edited this version and added many footnotes. He incorporated new illustrations based on AMI-blueprints of the materials currently in use.

Language: English

Published: Amsterdam, The Netherlands: Montessori-Pierson Publishing Company, 2017

ISBN: 978-90-79506-38-5

Series: The Montessori Series , 2

Patent

Improvements in or relating to Apparatus for Teaching Children Arithmetic

Maria Montessori - Writings

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Abstract/Notes: This invention relates to apparatus for initiating children in an easy and rapid way into the fundamental principles of arithmetic. The apparatus according to the invention comprises bead apparatus, lined sheets, multiplication and division apparatus and apparatus for demonstrating the power of numbers.

Language: English

Date of issue: 1914-08-07

Book Section

Further Developments in Arithmetic

Book Title: The Discovery of the Child

Pages: 293-298

Maria Montessori - Writings

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Abstract/Notes: Formerly entitled The Montessori Method: Scientific Pedagogy as Applied to Child Education in the Children's Houses. This book was first published in 1909 under the title 'Il Metodo della Pedagogia Scientifica Applicato all'Educazione Infantile nelle Case dei Bambini' ('The Montessori Method: Scientific Pedagogy as Applied to Child Education in the Children's Houses) and was revised in 1913, 1926, and 1935. Maria Montessori revised and reissued this book in 1948 and renamed it 'La Scoperta del Bambino'. This edition is based on the 6th Italian edition of 'La Scoperta del Bambino' published by the Italian publisher Garzanti, Milan, Italy in 1962. M. J. Costelloe, S. J. translated this Italian version into the English language in 1967 for Fides Publishers, Inc. In 2016 Fred Kelpin edited this version and added many footnotes. He incorporated new illustrations based on AMI-blueprints of the materials currently in use.

Language: English

Published: Amsterdam, The Netherlands: Montessori-Pierson Publishing Company, 2017

ISBN: 978-90-79506-38-5

Series: The Montessori Series , 2

Article

Psycho Geometry and Psycho Arithmetic

Publication: Communications (Association Montessori Internationale, 195?-2008), vol. 1982, no. 1/2

Pages: 10–15

Arithmetic, Geometry, Maria Montessori - Speeches, addresses, etc., Maria Montessori - Writings, Mathematics education, ⛔ No DOI found

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Abstract/Notes: From a 1930s lecture

Language: English

ISSN: 0519-0959

Patent

Rechenhilfsmittel [Arithmetic tools]

Maria Montessori - Writings

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Abstract/Notes: Patent.

Language: German

Date of issue: 1932-02-13

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