My Child Kept Forgetting Place Value — Until This
My Child Kept Forgetting Place Value — Until This Linear Abacus The Place Value Series The Place Value Series · Book 1 · Homeschool My Child Kept Forgetting Place Value — Until This If your child keeps forgetting place value no matter how much you practise, the problem isn’t effort — it’s what they can […]
The Linear Abacus® Approach: A Coherent System for Teaching and Learning Mathematics

Linear Abacus The Games Book Series · Blog 12 of 12 · Conclusion A Coherent System for Teaching and Learning Mathematics Blog 12 of 12 The Linear Abacus® Approach:A Coherent System for Teaching and Learning Mathematics Twelve blogs. One unified framework. What the Linear Abacus® actually is — and why it changes everything. Genovieve Grouios […]
Advanced Mathematical Reasoning with the Linear Abacus®: From Strategic Thinking to Mathematical Proof
Linear Abacus The Games Book Series · Stage 10 · Mathematical Reasoning Roll 5 · Make It Balance Blog 11 of 12 Advanced Mathematical Reasoning with the Linear Abacus®:From Strategic Thinking to Mathematical Proof The child who can show why their answer is true — not just that it is — has crossed into mathematical […]
Developing Strategic Mathematical Thinking with the Linear Abacus®: Beyond Calculation to Decision-Making
Linear Abacus The Games Book Series · Stage 9 · Strategic Thinking Zilch · Exactly 100 Blog 10 of 12 Developing Strategic Mathematical Thinking with the Linear Abacus®:Beyond Calculation to Decision-Making The child who pauses before calculating — who asks “which operation serves my goal?” — is already thinking like a mathematician. Genovieve Grouios · […]
Operating with Fractions on the Linear Abacus®: Where Position Powers Understanding
Linear Abacus The Games Book Series · Stage 8 · Fraction Operations First to 3 Blog 9 of 12 Operating with Fractions on the Linear Abacus®:Where Position Powers Understanding When fractions are positions, adding them is just movement — and the number system stays whole. Genovieve Grouios · Founder, Linear Abacus · Mathematics Educator Have […]
Reimagining Fractions with the Linear Abacus®: From Parts to Counts
Linear Abacus The Games Book Series · Stage 7 · Fractions Skip Counting Fractions Blog 8 of 12 Reimagining Fractions with the Linear Abacus®:From Parts to Counts When children count fractions the same way they count whole numbers, the number system stays whole. Genovieve Grouios · Founder, Linear Abacus · Mathematics Educator Have you noticed […]
Discovering Mathematical Patterns with the Linear Abacus®: Triangular and Square Numbers
Linear Abacus The Games Book Series · Stage 6 · Mathematical Patterns Triangular Numbers · Square Numbers Blog 7 of 12 Discovering Mathematical Patterns with the Linear Abacus®:Triangular and Square Numbers When children can see how number patterns grow, they stop memorising sequences and start understanding them. Genovieve Grouios · Founder, Linear Abacus · Mathematics […]
Advanced Mathematical Thinking with the Linear Abacus®: Where Number Meets Position
Linear Abacus The Games Book Series · Stage 5 · Advanced Mathematical Thinking Roll 5 · Exactly 100 Blog 6 of 12 Advanced Mathematical Thinking with the Linear Abacus®:Where Number Meets Position When children understand that every number is both a quantity and a position, choosing the right operation stops being guesswork. Genovieve Grouios · […]
Deepening Multiplicative Reasoning with the Linear Abacus®: From Basic Operations to Mathematical Expression
Linear Abacus The Games Book Series · Stage 4 · Multiplicative Reasoning 100 Add or Multiply Beads · Split the Array Blog 5 of 12 Deepening Multiplicative Reasoning with the Linear Abacus®:From Basic Operations to Mathematical Expression When children can see what multiplication actually does to the beads, choosing the right operation stops being a […]
Developing Number Relationships with the Linear Abacus®: Comparison, Strategy, and Equivalence
Linear Abacus The Games Book Series · Stage 3 · Number Relationships What’s the Difference? · Reach 100 Beads · Make It Balance Blog 4 of 12 Developing Number Relationships with the Linear Abacus®:Comparison, Strategy, and Equivalence When children can see how numbers relate to each other, everything else in mathematics becomes possible. Genovieve Grouios […]