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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
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
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
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
Book
The Advanced Series of the Montessori Didactic Material: Catalogo: Arithmetic, Geometry, Grammar, Music
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Language: English
Published: London, England: Philip & Tacey, n.d.
Article
The Montessori Approach to Arithmetic
Publication: The Bulletin (English Montessori Society)
Date: 1961
Pages: 4-15
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Language: English
Book Section
Zur deutschen Ausgabe der Psychoarithmetik Maria Montessoris [To the German edition of Maria Montessori's Psychoarithmetic]
Book Title: Montessori-Pädagogik in Deutschland: Rückblick - Aktualität - Zukunftsperspektiven ; 40 Jahre Montessori-Vereinigung e.V. [Montessori Pedagogy in Germany: Review - Current Issues - Future Perspectives 40 years of the Montessori Association]
Pages: 303-315
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Language: German
Published: Münster, Germany: Lit, 2002
ISBN: 978-3-8258-5746-2
Series: Impulse der Reformpädagogik , 7
Patent
Improvements in or relating to Apparatus for Teaching Children Arithmetic
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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
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