Children will learn addition, subtraction, multiplication, divisions, fractions, place value, and logic in ways that cultivate the ability to see patterns in numbers, shapes, and the world around them. By building models, looking for patterns, playing games, making generalizations, and recording discoveries in ways that make sense to them, they build genuine understanding of mathematics at their own pace.
These books lay a foundation of understanding and encourages all learners to:
Makeup Their Own Problems
Creating original problems deepens understanding by shifting students from passive learners to active mathematical thinkers.
Estimate & Predict
Estimating builds number sense and helps kids develop intuition about whether answers are reasonable before calculating.
Look for & Discover Patterns
Recognizing patterns strengthens logical thinking and reveals the underlying structure that makes math meaningful and connected.
Develop Flexibility in Thinking
Flexible thinkers can approach problems from multiple angles, making them more resilient and confident problem-solvers.
Verify & Prove Answers
Checking & justifying solutions builds accuracy, critical thinking, and trust in the reasoning behind the math.
Pursue Creative Mathematical Investigations
Exploration fosters curiosity, turning math into a discovery process rather than a memorization task.
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First Grade
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Addition
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Student Workbooks
What Parents, Students & Teachers Are Saying...
I have had tremendous success implementing the Patterns workbooks with my students!
"I was introduced to Patterns in Arithmetic from Alysia Krafel at Chrysalis School. I was intrigued, and ordered the complete fifth grade curriculum for my own classroom. I have had tremendous success implementing the Patterns workbooks with my students. This approach truly is able to reach all levels of students, from intervention to advanced. My students enjoy the activities, and the Teacher Guide is simple and easy to follow. I encouraged the other teachers at my school to try it, and we are now purchasing all the grade level books! Thank you for writing this wonderful math series!"
Greg Potter - Northwest Discovery Charter School
I developed an early understanding of number concept
The idea of 'place value' is the most difficult concept for young children to understand, mainly because it conflicts with their only base (no pun intended) in numbers, namely sequential counting. The base 4 counting taught me to regard ten as an arbitrary choice in the same position as other numbers in their own bases. By separating numbers into 10s, 100s, 1000s, etc., as a method to arithmetic, I developed an early understanding of number concept. Beyond that, counting in base 4 didn’t seem to have helped me much—until Pre-Calculus, when I began to hear the '1, 2, 3, BING' of my sixth year in my head when my teacher tried to explain to the class of high school juniors and seniors what different bases were.She was failing where my first grade Farm School teacher [Suki] had succeeded. Why? Because the teachers at Farm School knew that the number 10 is not particularly special as a base, and that until we were taught otherwise (such as through rote methods taught in all public schools anywhere near Farm School), we could get past such limited thinking."
Ross Venook
A Former Farm School Student
I Loved Patterns in Arithmetic!
“Loved Patterns in Arithmetic, loaned my copy to someone and never got it back! I would love to order another copy."
Afsaneh Kiany Alisobhani - Mother of a Patterns Press Student