Published
Mathematics for Homeschooling
A Path, Not a Percentile
A parent who is not a math specialist can take a child from first-grade number sense through high-school calculus if three things hold: the parent can hear a wrong answer; the child does the struggle before the tool; and any agent is a parent-hosted supplement, not a substitute and not a school-safe product by default. Documents do the work. The popular story does not survive.
Editorial principle
Name the conjunction so it can be taken apart. CCSSM is a map, not a mandate. Fractions are the gate. A grade-6 book is a publisher's scope. The agent does not take the test. Promise a path, not a percentile.
- Chronology
- 2000–2026
- Length
- ~80,000 words
- Reading time
- ~5 hours · 226 pages
Authors
Michael Gannotti
The voices
2 figures across 2000–2026. Each speaks in their own voice, through their own texts.
The parent-teacher
nowKitchen table
Core question: Can you hear a wrong answer?
One adult, usually the mother, usually a purchased book — not a district.
The child
nowStruggle before the tool
Core question: Who does the work?
The student who must still walk the path after the chat window closes.
Chapters
15 chapters. The disagreement is not resolved.
- Complete
Preface
Hear a Wrong Answer
What three conditions have to hold if a non-specialist parent is going to teach through calculus?
Voices: parent-teacher
- Complete
Introduction
The Conjunction That Does Not Survive
Which popular claims about homeschool math cannot sit in the same sentence?
Voices: parent-teacher
- Complete
Chapter 1
The Kitchen Table Is Not a District
What is the room this book is written for?
Voices: parent-teacher
- Complete
Chapter 2
How Children Learn Mathematics
What does the evidence actually constrain about method?
Voices: child
- Complete
Chapter 3
The Agent Does Not Take the Test
What may a parent-hosted agent do, and what must it never do?
Voices: parent-teacher · child
- Complete
Chapter 4
Grades 1–2: Number, Operations, and Place Value
What has to be in place before later algebra can mean anything?
Voices: child
- Complete
Chapter 5
Grades 3–5: Multiplicative Reasoning and Fractions
Why are fractions the gate?
Voices: child
- Complete
Chapter 6
Grades 6–8: Ratio, Signed Numbers, Expressions, Early Functions
What must be diagnosed before Algebra I?
Voices: child
- Complete
Chapter 7
Algebra I
What is an authentic algebra course, and what is algebra in name only?
Voices: child
- Complete
Chapter 8
Geometry
What is proof, and what is a picture?
Voices: child
- Complete
Chapter 9
Algebra II, Functions, and Precalculus
Have we finished Algebra II, or only named it?
Voices: child
- Complete
Chapter 10
Calculus: AB, BC, CLEP, and the Function Concept
Are AB, BC, and CLEP the same object?
Voices: child
- Complete
Chapter 11
Data and Chance Across the Years
Is statistics stealth calculus?
Voices: child
- Complete
Chapter 12
Records, Transcripts, College-Ready
What still has to leave the house?
Voices: parent-teacher
- Complete
Coda
A Path, Not a Percentile
What can an honest book promise, and what can it not?
Voices: parent-teacher · child
Academy sittings
Study the spine in the academy
The academy's Show the Path sittings are the shorter entry: the path is the mathematics, not the answer. This book is the longer argument for the kitchen table.