The ShillerLearning philosophy holds that every homeschool math mistake is a learning opportunity — because it encourages discussion and deepens understanding of both concepts and process. Are you getting excited about your child’s next mistake? You should be!
Parents whose children reach their full potential have a clear, intentional strategy for dealing with mistakes because mistakes will occur early and often. The language a parent uses when identifying and responding to errors has an enormous impact on how well a child learns, and how much they enjoy the process.
What Montessori and Modern Science Say About Mistakes
Maria Montessori built one of her most important design principles around the idea of mistakes: she called it the “control of error.” In a Montessori environment, materials are designed so that children can discover and correct their own errors without adult intervention. The goal is not to prevent mistakes; it is to make mistakes informative, non-threatening, and self-correcting. Montessori believed that a child who learns to recognize and fix their own errors develops far greater independence, resilience, and intrinsic motivation than one who is simply told the right answer.
The Montessori Three Period Lesson — “This is / Show me / What is?” — is itself a framework for identifying gaps in understanding without shame or pressure. When a child cannot answer “What is?”, the teacher simply returns to “This is” and begins again. No correction. No judgment. Just a gentle return to the beginning.
— Maria Montessori (or was it Albert Einstein?)
Six Strategies for Turning Mistakes Into Breakthroughs
Education expert Larry Shiller (wait, that's me!) recommends the following approach when a mistake occurs:
Focus on the Process, Not the Person
When children make mistakes, they don’t need to feel like lesser people, because they aren’t. Blaming a child for an error discourages curiosity and shuts down learning. Instead, redirect attention to the steps and the process.
This approach aligns directly with Dweck’s growth mindset research: praising effort and process, rather than outcome or ability, produces children who persist longer and achieve more.
Keep a Sense of Humor
When a child associates math with laughter and warmth, the relationship with the subject becomes positive and lasting. Montessori understood that joy is not a distraction from learning; it is a condition for it. Research on positive affect and learning confirms that children in emotionally safe, playful environments show greater creativity, problem-solving ability, and retention than those in high-pressure settings.
Engage the Other Senses
Math is best learned when it is concrete before it is abstract; one of Montessori’s most foundational principles. When a child is stuck, returning to physical manipulatives, songs, or movement can unlock understanding that words alone cannot reach. Play an mp3 and sing along. Use the manipulative index to find an activity with a favorite material. Let the child’s hands lead the way back to comprehension.
Neuroscience supports this: multisensory learning activates more regions of the brain simultaneously, forming stronger and more durable neural pathways than single-modality instruction.
Be Creative
Feel free to extend an activity, invent a game, or take the lesson in an unexpected direction. Montessori called this “following the child," allowing the child’s interest and energy to guide the learning experience. When a child is engaged and playful, their brain is in an optimal state for learning. Creativity is not a detour from the lesson; it is often the fastest route through it.
Use Mistakes to Find the Gap and Then Fill It
A mistake is a diagnostic tool. It tells you precisely where understanding has broken down. ShillerLearning recommends using the Socratic Method, which is asking questions that guide the child to discover their own error, rather than simply providing the correct answer. Once the gap is identified, it is usually straightforward to fill.
The Socratic approach is deeply aligned with Montessori’s view of the adult as a guide rather than an authority. Research on retrieval practice confirms that children who work to find answers themselves, even when they initially get it wrong, retain information significantly better than those who are simply told the correct answer.
Go Back to Basics: The Three Period Lesson
When a child is consistently struggling, return to the Montessori Three Period Lesson: “This is — Show me — What is?” This framework, explained fully in the ShillerLearning Parent Guide and lesson books, allows you to identify exactly where understanding breaks down and rebuild from that point without pressure, shame, and wasted time.
The Three Period Lesson is one of Montessori’s most elegant contributions to education: a simple, repeatable structure that meets the child exactly where they are and moves forward only when they are ready. It works so well I use it with adults!
Keep in mind that these six strategies work across all areas of learning. Every subject, every age, every child benefits when mistakes are treated as information rather than failure.
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