Montessori Math and Cultural Subjects Curriculum, Ages 3-6, Part B

•Math exercises sequence color chart
•Complete Golden Bead exercises
•Sensorial Bead Cabinet introduction
•Math materials options
•Cultural Subjects overview
•Concrete geography
•Beginning biology exercises
•Art appreciation and projects
•Works together with Part A module
•Not intended as stand alone segment
•Almost 4 hours of video instruction
•Concise 50 page manual
This module works together with the resources in the Montessori Math & Cultural Subjects Curriculum Part A, Ages 3-6 Home Study Course. Overview information about the Cultural Subjects materials and presentations, as well as presentations that come before and after the bead material lessons, are in the Part A module. If you plan to set up and master complete Math and Cultural Subjects Areas, you will need both.
Montessori Math & Cultural Subjects Curriculum Part B, Ages 3-6 Home Study Course
The Math Area is the nervous system of the Montessori classroom. The advanced exercises for 3 to 6 year olds make the complex concepts of the decimal system, as well as squaring and cubing numbers, easy to grasp – literally! Students gain an invaluable concrete understanding of the basis of all higher mathematics by holding in their hands objects that make the relationships of units, tens, hundreds, and thousands crystal clear.
The Cultural Subjects Area is the heart of the Montessori classroom. In this area, children begin to understand the foundational structures of all the sciences including the social sciences. Present these concepts from the whole to the parts, and closest to the child out to the entire universe, and give him the framework he needs to slot in all the ideas and information he will ever learn in these subjects.
This module teaches you how to present these essential concepts and helps you choose effectively which ones will serve your learners best. Learn to include both traditional materials and innovations in both math area and cultural area materials. Specific recommended resources help you stay current in these areas and to update them regularly with new materials – even within a smaller budget.
Take advantage of the period of the absorbent mind to allow your children to understand the foundations of mathematics and the world around them with concrete Montessori materials. They will take away a love for these complex subjects that will make all their future studies more exciting.
Montessori Classroom Management, Leadership and Preparation

Montessori Triad segments color chart
Montessori prepared environment
Specific classroom strategies
Respectful language phrases
Buying and making materials easily and economically
Rotating exercises
Observation and recordkeeping
Over 4 1/2 hours video instruction
Concise 50 page manual
This module, together with the Montessori Training Program Introduction and Mentor Preparation Home Study Course, presents the Montessori for Everybody system to master the essential principles of Montessori education. These principles are summarized and presented with metaphors to make them easier to learn, remember, and use.
Montessori Classroom Management, Leadership, and Preparation Home Study Course
The Montessori classroom can seem daunting to set up and even more challenging to manage or lead when the children arrive. Most children coming into the Montessori environment for the first time will need guidance from you to make the most of it. To protect the vital inner motivations of a child, and still give him the direction he needs to use that motivation best, does not come naturally to most people. Learning the skills to respectfully mentor children is the key to the success of the Montessori approach.
Most adults who choose Montessori did not have the benefit of growing up in a Montessori environment. The experiences of our own childhoods shape how we treat children unless we consciously choose another way. The way we were treated by adults seems normal to us; so we must have specific strategies in order to shift to more respectful methods.
Tools and resources are provided to help you set up and maintain an effective Montessori environment even when time and money are limited. Learn to make best use of the time and other resources you have now and plan for making future improvements.
This module will help you mentor and lead children, rather than teach them, and to change the environment rather than make useless attempts to change the child. It will give you specific ways to prepare that will make these new behaviors easier and easier. It will also help you meet children where they are and respectfully stop behaviors that intrude on other children or the Montessori materials. Most of all, you will learn to notice the things you need to do to keep a Montessori classroom running smoothly while the children become more and more responsible for their own learning.
v Classroom Management, Leadership, and Preparation Video and Manual Highlights
Overview of Mentors Role
Montessori for Everybody Overview
The Environment
The Mentor in the Classroom: A FACT, EFFICIENT Works
Video Presentations Summary
A Community of Respect: Delegation and Shared Responsibility
Nurture, Never Intrude or Abandon
Ground Rules, the Real Purpose
Modeling Grace and Attention to Actions
Mentor Inventory
Daily Routines
Group Time
Starting a Class – Focus on the Environment
The Physical Space of the Classroom
Making, Buying, and Shelf Presentation of Materials
Maintaining the Environment
Staff Care of the Environment
Overview for Setting Priorities
The Essentials : Prioritizing, Overview, and Review
Planning
Recordkeeping
Master Notebook and Classroom Resource Records
Materials Rotation and Storage
Key Point Cards
Respectful Language
Resource Section

- Overview of each strand on oversized color chart
- Sequence of preparation exercises
- Dimensional materials
- Variations, extensions, and games
- Mastery tips for advanced work
- Visual memory exercises
- Mathematical foundation
- Art trash introduction
- Almost 5 hours of video instruction
- Concise 50 page manual
Sensorial Preparation Curriculum Home Study Course
The Sensorial Area is the skeleton of the Montessori classroom for children ages 3 to 6. This is where perception is refined and orderly storage of information is organized. When children take in and store knowledge effectively, learning is built on a foundation of deep support. All the skills and information they have already mastered can be easily connected to new learning.
Good preparation through the sensorial materials builds essential skills for higher learning such as strong visual memory, awareness of where your body is in space, and auditory discrimination skills. Effortless mastery of reading, spelling, geography, math, athletics, and the arts are built on these foundational skills.
This module gives you the practical pieces you need to set up a complete Sensorial environment and structure success in these activities for your children or students, including students with special needs. You will learn how to choose which materials to have out to start and the sequence in which they are best introduced to keep children progressing in sensori-motor skills all year. You’ll learn essential games the children love that keep them returning to the materials until they have exhausted all the learning each set has to offer. Practical guidelines are given to choose which materials to make and which to buy if you are working on a tight budget.
Give children the learning backbone of well-developed sensory skills and a framework of complete classification of the world around them and they will gather up and use knowledge with surprising ease and joy.
Video Highlights
Cylinders Material
- Presentations of the Knobbed Cylinders
- Multiple Cylinder Blocks
- Sensorial Games Used with Dimensional Materials
- Knobless Cylinders
- Knobless Cylinder Combinations
- Sensorial Game Variations
Rectangular Dimensional Materials
- Pink Cubes
- Pink Cubes Variations and Extensions
- Brown Prisms
- Brown Prisms Variations
- Red Rods
- Sensorial Games Variations
- Red Rods Extensions
- Combining Dimensional Materials
- Pink Cubes Extensions & Building Board
- Brown Prisms Extensions
- Pink Cubes and Brown Prisms Extensions
Introduction to Tessellation
Geometric Plane Figures and Solids
- Geometric Cabinet
- Geometric Solids
- Geometric Solids: 8 Extensions
Stereognostic games
Chromatic Sense
- Chromatic Sense Introduction
- Color Box 1 – Primary Colors
- Color Box 2 – Primary Colors, Secondary Colors, and Neutrals
- Color Box 3 – Pairs of Tints
- Color Box 4 – Value Gradations
- Color Variations and Extensions:
- Group Sensorial Games
- Spectrum or Color Wheel of Primary, Secondary, and Tertiary Colors
Kinesthetic/Tactile Senses
- Introduction and Tactile Board
- Tactile Tablets
- Tactile Circles
- Fabric Box discussion
- Thickness Circles
- Baric Tablets
- Thermic Tablets & Bottles
Other Sensorial Areas
- Olfactory and Gustatory
- Bells and tonality discussion
- Autoharps, keyboards, and pianos
Advanced Exercises
- Binomial cube – 6 presentations
- Trinomial cube
- Constructive Triangles: 5 Boxes
- Box of Circles, Triangles, and Squares
- Bead Stair Star
Sensorial Area Extras
- Geoboards with colored rubber bands
- Might Mind parquetry blocks for tessellating and more
- Tangrams
- Magformers and Platonic Solids
Visual memory & Geography
- Tactile globes
- Poseable Figures and Cards
Montessori Math and Cultural Subjects Curriculum, Ages 3-6, Part A

•Overview of each math strand chart
•Preparation exercises
•Symbol, quantity, and association
•Mastery of 1-10
•Advanced counting exercises
•Beginning computation
•Concrete to abstract sequence
•Cultural Subjects introduction
•Works together with Part B module
•Not intended as stand alone segment
•4 hours of video instruction
•Concise 50 page manual
This module works together with the resources in the Montessori Math & Cultural Subjects Curriculum Part B, Ages 3-6 Home Study Course. Detailed information about the Cultural Subjects materials and presentations, as well as Golden Bead materials presentations and other essential math information, are in the Part B module. If you plan to set up and master complete Math and Cultural Subjects Areas, you will need both.
Montessori Math & Cultural Subjects Curriculum Part A, Ages 3-6 Home Study Course
The Math Area is the nervous system of the Montessori classroom. This area provides hands-on mastery of the mathematical structures that allow children to better understand and manipulate the systems in the world. As technology becomes a larger part of successful living, having a gut-level sense of mathematical concepts becomes more and more valuable.
The Cultural Subjects Area is the heart of the Montessori classroom. This area provides an introduction to the rich body of knowledge that people have about the world around them. Deep empathy for humans, animals, and all living things on all parts of the earth is a natural result. Moving from the entire solar system down to the tiniest vein on the leaf of a flower, this area provides an interesting, complete foundation in geography, geology, botany, zoology, history, and art through beautiful, hands-on, easy to grasp materials.
This module gives you the practical pieces you need to set up a complete Math and Cultural Subjects areas. You’ll learn to use children’s natural love of nature and moving things with their hands to offer them exercises that keep them practicing each skill and knowledge set until they master it. In areas that can be overwhelming, learn how to keep them manageable for you and your students. Practical guidelines will help you fit the materials you need into a tight budget.
Give children the roots of understanding the world around them and the culture from which they come and give them the wings of mastering mathematical concepts that took us into space and cyberspace.
Video Highlights
Math and Cultural Subjects A, Disk 1: Introduction, Sequence, & 1 – 10
Introduction and Sequence of Math Exercises
Concrete to Abstract & Simple to Complex: easier to more difficult exercises
Order of presentations given with each material
Preparing to give a lesson
Number Rods
Number Rods Variations and Extensions
Table Top Number Rods – May delay variations for use with this material.
Sandpaper Numerals
Number Rods and Numerals: Associate Quantity to Symbol
Rods and Symbols: Variations and Extensions
Bead Posts, 1-5
Bead Stair – use with a felt or Pellon mat to prevent them from rolling away
Number Pegs (Peg It Number Boards from Ideal) & Number Puzzles
Spindle Boxes
Cards and Counters (Numerals and Counters)
Apple Trees
Additional 1-10 Exercises – Value of games
Math and Cultural Subjects A, Disk 2: Advanced or Linear Counting
Introduction
The 1-10 exercises as a foundation for the rest of the math area
The Zero Game
Teen Boards and Ten Boards
Teen Boards
Joan Cotter’s Math Way of Naming Numbers
Review of the Three Period Lesson
Ten Boards: 5 Presentations
Snake Game
Montessori, Mortensen, & Other Materials – Facilitating the Passage to Abstraction with Materials
Introduction to the Stamp Game
Division with the Stamp Game
Fraction Skittles: Fractions and Division
Mortensen Introduction – Subtraction introduction
Mortensen and Golden Bead Introduction
AL Abacus: Preferred to Dot Game, Vertical Bead Frame, and Operations Boards & Charts
Hello Wood Rulers: Traditional and Decimal system
Math and Cultural Subjects A, Disk 3: Progression of Exercises
General Introduction and Math Overview
Math Overview: 1-10 as the Foundation
Additional non-traditional Montessori materials teach essential concepts:
Strands
Linear Numeration or Advanced Counting
Operations, especially addition and subtraction
Decimal or Base Ten System (and multiplication)
Fractions and Division
Time, Measurement and Probability
Traditional Montessori Passage of Abstraction with Decimal System Work
Recommended Progression for Decimal System Work
Progressions of Difficulty
Progressions beyond math
Isolate the Difficulty or New Concept
Cultural Subjects
A. Concrete to abstract
B. Whole to parts
C. Child to world
Passages to Difficulty in Other Areas
Montessori’s genius included using metaphors to make abstract concepts concrete.
The Mentor’s Challenge: Make it all explicit, accessible, and easy to understand
Group time
Importance of Good Props – Start with concrete examples whenever possible.
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