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Book
Psychoarithmetic: Arithmetic Developed Under the Guidelines Outlined by Child Psychology
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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
Arithmetic Research
Available from: Stadsarchief Amsterdam (Amsterdam City Archives)
Publication: Montessori Opvoeding, no. extra-nummer
Date: 1963/1964
Pages: 24-27
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Abstract/Notes: This is from the 1963/1964 "extra-nummer" special issue for the 13th International Congress.
Language: English
Patent
Rechenhilfsmittel [Arithmetic tools]
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Abstract/Notes: Patent.
Language: German
Date of issue: 1932-02-13
Article
A Plea for Arithmetic in the First Grade, Part V: The Making and Usage of Material
Available from: HathiTrust
Publication: The Kindergarten and First Grade, vol. 7, no. 5
Date: May 1921
Pages: 180-185
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Language: English
Book Section
Teaching How to Count and an Introduction to Arithmetic
Book Title: The Discovery of the Child
Pages: 279-292
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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
Book Section
Further Developments in Arithmetic
Book Title: The Discovery of the Child
Pages: 293-298
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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
Book Section
Arithmetical Operations
Book Title: The Advanced Montessori Method: Scientific Pedagogy as Applied to the Education of Children from Seven to Eleven Years: The Montessori Elementary Material
Pages: 189-204
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Abstract/Notes: Includes the following section(s): Numbers - 1-10; Tens, Hundreds and Thousands; Bead Frames
Language: English
Published: Amsterdam, The Netherlands: Montessori Pierson Publishing Company, 2017
ISBN: 978-90-79506-28-6
Series: The Montessori Series , 13
Volume: 2 of 2
Book Section
Math and Grammar: Psychoarithmetic, Psychogeometry, and Psychogrammar
Book Title: The Bloomsbury Handbook of Montessori Education
Pages: 81-89
Language acquisition, Language development, Maria Montessori - Biographic sources, Maria Montessori - Philosophy, Maria Montessori - Writings, Mathematics education, Montessori method of education - Criticism, interpretation, etc., Montessori method of education - History
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Abstract/Notes: After the success of the first publications in which Maria Montessori introduced her mathematical and linguistic thinking, she devoted herself to the completion of a curriculum geared towards the Elementary level of education for children ages 6-12 years. During this phase of her research, she focused her attention on three key curricular areas: Psycho-geometry, Psycho-arithmetic, and Psycho-grammar, as she intentionally called them. These names followed her observations about how cognitive needs arise during the different phases of development. With their common prefix, psycho, Montessori’s intent was to highlight her way of understanding geometry, arithmetic, and grammar not only as disciplines to be taught but also as instruments to promote a child’s cognitive development. This chapter discusses the three books that resulted from this work: Psychogeometry, Psychoarithmetic, and Psychogrammar.
Language: English
Published: New York, New York: Bloomsbury Academic, 2023
ISBN: 978-1-350-27561-4 978-1-350-27560-7 978-1-350-27562-1
Series: Bloomsbury Handbooks
Patent
Sistema para iniciar a los niños en el estudio de la aritmética y de la geometría plana y del espacio [System to initiate children in the study of arithmetic and plane and space geometry]
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Abstract/Notes: Patent.
Language: Spanish
Date of issue: 1919-01-01
Article
Arithmetic Lessons Practical; Dr. Montessori Method; Coins are Used for Counting
Available from: California Digital Newspaper Collection
Publication: San Francisco Call and Post (San Francisco, California)
Date: Sep 20, 1915
Pages: 16
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Abstract/Notes: Reprinted in 'The California Lectures of Maria Montessori, 1915' (Clio Press, 1997).
Language: English