The Fraction Work - Level 6-9 is a Mathematics Montessori material designed for children aged 3-6, crafted by Nienhuis Montessori to AMI standards.
This realistic apple fraction manipulative introduces young learners to the fundamental concept of parts and wholes through hands-on exploration. The foam apple divides into four equal quarters, allowing children to physically experience how fractions work while developing their mathematical understanding through sensorial learning.
“Children display a universal love of mathematics, which is par excellence the science of precision, order, and intelligence.”— Maria MontessoriThe Discovery of the Child
“The greatest sign of success for a teacher is to be able to say, 'The children are now working as if I did not exist.'”
— Maria Montessori, The Absorbent Mind
The Fraction Work apple addresses the young child's need to understand division through concrete manipulation before abstract mathematical thinking emerges. By physically separating and reuniting the foam apple quarters, children experience how one whole divides into four equal parts through their hands rather than through symbols. This tactile apple provides a sensorial bridge between the child's concrete operational thinking and the abstract concept of fractions. The foam material allows repeated exploration without damage, while the apple's familiar form connects mathematical concepts to everyday life. Each quarter piece fits precisely with others, demonstrating through touch how parts combine to recreate the whole. The Level 6-9 apple introduces fraction vocabulary through physical experience: children hold 'one quarter' in their hands before ever seeing ¼ written. This concrete-to-abstract progression respects how mathematical understanding develops naturally in early childhood, building from sensorial experience toward symbolic representation.
Each order includes everything needed for proper presentation and long-term use.
Follow the Montessori method of presentation for optimal child development.
Invite the child to examine the whole apple, noting its complete form
Demonstrate slowly pulling apart one quarter, emphasizing the separation
Name the piece: 'This is one quarter of the apple'
Continue removing quarters one at a time, counting as you go
Explore different combinations: two quarters make half, etc.
Reassemble the apple, noting how four quarters make one whole
Each material supports multiple areas of child development simultaneously.
Children develop understanding of fractions, parts and wholes through concrete manipulation of quarters.
Assembling and disassembling the apple enhances spatial awareness and part-to-whole relationships.
Introduces mathematical vocabulary including quarter, half, whole, and equal parts.
Handling and fitting the pieces together refines hand movements and coordination.
Designed for child-sized hands
Professional tips from AMI-trained guides to maximize the educational value of this material.
“Present this material after children show comfort with practical life pouring and spooning exercises”
always say 'quarter' not 'piece' or 'part'
Create fraction matching cards showing apple quarters for extension work
Connect to snack time by cutting real apples into quarters for comparison
Everything you need to know about this material.
This manipulative introduces children to basic fraction concepts including whole and parts, fourths/quarters, equivalence, and the relationship between division and fractions. Children learn that four quarters make one whole through hands-on exploration.
Following Montessori principles, this concrete manipulative allows children to physically handle and explore fractions before moving to abstract concepts. The sensorial experience of dividing and reassembling the apple provides a strong foundation for later mathematical understanding.
Children can practice dividing the whole into quarters, counting parts, reassembling the whole, comparing sizes, and exploring concepts like 'half' (two quarters). Extensions include matching activities, vocabulary work (whole, half, quarter), and simple addition of fractions.
The lightweight foam construction makes the pieces easy for small hands to manipulate safely. The material is durable enough for repeated use while being soft enough to prevent injury. The realistic apple design also connects mathematical concepts to familiar objects.
This introductory material establishes the concrete understanding needed for more complex fraction work. After mastering quarters with the apple, children can progress to other fraction materials exploring different denominators, equivalences, and eventually operations with fractions.
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