Concrete Foundations for Algebraic Operations Thumbnail.jpg
Concrete Foundations for Algebraic Operations Thumbnail.jpg

Concrete Foundations II: Algebraic Operations

$15.00

Guess what! Multiplying algebraic binomials and factoring quadratic equations can be done concretely using Golden Beads! This allows students to understand these operations in ways that abstract approaches never will. No longer are algebraic operations about rules to be memorized and followed. They are about geometric truths that are built, and later visualized, to arrive confidently at the desired solution.

Click HERE to sneak a peek at the Table of Contents and some thoughts about these concrete lessons.

NOTE: Unlike other monographs, this content is NOT included in The Marvels of Montessori Math. 

This is an instant download - a secure link will be sent to you on payment. Please contact us with any questions.

Guess what! Multiplying algebraic binomials and factoring quadratic equations can be done concretely using Golden Beads! This allows students to understand these operations in ways that abstract approaches never will. No longer are algebraic operations about rules to be memorized and followed. They are about geometric truths that are built, and later visualized, to arrive confidently at the desired solution.

Click HERE to sneak a peek at the Table of Contents and some thoughts about these concrete lessons.

NOTE: Unlike other monographs, this content is NOT included in The Marvels of Montessori Math. 

This is an instant download - a secure link will be sent to you on payment. Please contact us with any questions.

Presentations are modeled after the sequential learning process recommended by Dr. Montessori and supported by modern cognitive neuroscience: concrete experiences informed by mathematical reasoning leads to true abstract understanding. This fully developed set of concrete experiences requires nothing more than Golden Beads and a box of bead bars! And each experience uses mathematical and geometric reasoning to lead directly to abstract understanding.

Students who have completed even the earliest Montessori lessons in squaring and square roots will find these lessons fairly intuitive from the start. For students new to Montessori, the geometric principles are simple enough that they will catch on quite quickly.

For more foundational work in pre- and early-Algebra, including integer concepts/operations, order of operations, use of variables, Euclid’s Axioms, and solving linear equations, please see Concrete Foundations I: Integers and Linear Algebra or The Marvels of Montessori Math.)