First Steps in Mathematics

About the Book Series

Our books are written with the end goal in mind: mastery of algebra, calculus, statistics, and logic, and application of these techniques to analyze the natural world. Logical thinking, asking questions, and exploring the natural world with curiosity lay the groundwork for future creativity and success.
Yet, foundational learning is often limited to rote memorization or uses scattered, incoherent approaches that result in only superficial understanding. This book series is designed to change that. We provide rigorous, thoughtful instruction with ample opportunities for practice to build confidence with small victories. We approach each concept from multiple angles, providing an early introduction to concepts that students will see again and again as they progress through their math and science education.

Visual Mathematics

Patterns, Shapes, and Logic
Visual Mathematics is designed to give children a different perspective on math, helping them learn that math is about much more than just numbers. Children aged 4 through 10 can explore:
  • Drawing patterns by repeating and in mirror image
  • Drawing and rotating basic shapes and their intersections on a grid
  • Assembling, drawing, and visualizing cross sections of three-dimensional shapes
  • Identifying patterns of objects in one and two dimensions
  • Tracing and correcting errors in patterns
  • Completing patterns with rotation and mirror images
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Mathematics I

Early Math with Care. Counting, Thinking, and Building Understanding
Mathematics I is designed to provide a strong and rigorous foundation by introducing children aged 4-8 to:
  • Basic numeracy up to 10
  • Writing numerals
  • The number line
  • Addition and subtraction of single-digit numbers
  • Commutative property of addition
  • Greater than/less than
  • Larger/smaller
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Mathematics II

Exploring Numbers up to 100: Counting, Addition, and Subtraction Skills with a Focus on Logical Thinking
Mathematics II is designed to introduce children aged 4-8 to:
  • Basic numeracy up to 100
  • Writing two-digit numbers
  • Addition and subtraction up to 100
  • "Borrow the one" and "carry the one"
  • Place value
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Mathematics I & II Exercises

Provides an opportunity for children to practice skills learned in Mathematics I & II, to move from understanding to mastery
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