The Curriculum of the Steiner School - The Extra Lesson

Notes and Lesson Plans

The Extra Lesson: Using Montessori Materials Remedially
updated January 14, 2017


These are my own personal notes. They assume some background knowledge of Montessori education for the Elementary school. Please feel free to use them if they are helpful to you!



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The Extra Lesson: Using Montessori Materials Remedially
for Class 2 and higher



List of Montessori materials and lessons, in sequence, for remedial math work:

    1. Place Value Bingo Game - with colored pencils
    supplies needed: three colored pencils (green, blue, red), paper and pencil, a plain die, chalkboard and chalk

    start with a few digits and then increase as the child's comfort level with reading large numbers increases

    ideally this would follow presentation of the Wooden Hierarchical but I don't have such an expensive material at my house


    2. Stamp Game - static and dynamic addition, subtraction, multiplication
    supplies needed: Stamp Game, working mat, Stamp Game paper, three colored pencils (green, blue, red)

    plus a set of four small opaque 10 sided dice for students to create problems independently (two green, one blue, one red)


    3. Decurian Division
    supplies needed: as above for Stamp Game


    4. Small Bead Frame - static and dynamic addition, subtraction, multiplication
    supplied needed: Small Bead Frame, Stamp Game paper, three colored pencils (green, blue, red)


    5. Colored Bead Bars for multiplication facts, commutative property, square numbers
    supplies needed: Checker Board Beads, Bead Bar Stamp Set with stamps, stamp pad, storage tray, and set of 10 colored pencils, set of multiplication and division flash cards

    ideally this would follow presentation of the Jeweled Layout but I don't have such an expensive material at my house (Decanomial Bead Bar Box and Decanomial Paper)


    6. Checker Board - static and dynamic long multiplication
    supplies needed: Checker Board. Checker Board Beads, Number Tiles, Bead Bar Stamp Set, paper and pencil

    Long Multiplication article by Rachel Hendron
    shows the Checker Board material and lesson step by step; explains all of the remaining lessons in the Long Multiplication sequence from concrete to abstract

    • Checker Board
    • Flat Bead Frame
    • Bank Game
    • Geometrical Long Multiplication


    7. Flat Bead Frame
    supplies needed: Flat Bead Frame, Number Tiles, pencil and paper


    8. Bank Game
    supplies needed: Bank Game, pencil and paper

    The Bank Game quick & easy blog post


    9. Long Multiplication on Graph Paper
    supplies needed: graph paper, three colored pencils (green, blue, red)

    plus a set of four small opaque 10 sided dice for students to create problems independently (two green, one blue, one red)


Other Helpful Links


Research on the Value of Montessori Mathematics

    Four Seventh Grade Students Who Qualify for Academic Intervention Services in Mathematics Learning Multi-Digit Multiplication with the Montessori Checkerboard (PDF)
    by Mark A. Donabella and Audrey C. Rule

      Abstract

      This article describes the positive impact of Montessori manipulative materials on four seventh grade students who qualified for academic intervention services because of pre- vious low state test scores in mathematics. This mathematics technique for teaching multi-digit multiplication uses a placemat-sized quilt with different color-coded squares for place value, color-coded bead bars for representing digits, and small numeral tiles in a procedure related to lattice multiplication. The article presents a brief introduction to the Montessori approach to learning, an overview of Montessori mathematics, and an expla- nation of the Checkerboard for Multiplication with related multiplication manipulatives. Pretest/posttest results of the four students indicated that all increased their understand- ings of multiplication. The results of an attitude survey showed students improved in en- joyment, perceived knowledge, and confidence in solving multiplication problems.

      Note: They used the smaller fabric Checkerboard Mat which is less bulky and also less expensive than the large wooden one, thus it is both and more portable and more affordable for remedial teachers.


Montessori Materials to Buy

    I've listed links above to Nienhuis, Great Expressions, and Montessori Services.

    For my full list of recommended Montessori materials and vendors, see my blog post Montessori Materials Wishlist (Elementary), with links to what I own and what I still wish for.



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