Welcome to the Essential Guide for teaching the Problem Solving block.
Whether you are new to Waldorf education or wrapping up your second year of homeschooling, this guide gives you the philosophy, goals, and daily rhythm you need to bring everything your child has learned in maths this year together through word problems.
The Philosophy: Understand the Story First
In a traditional classroom, word problems are often treated as equations dressed up in clothes. The child is taught to look for the number words, pluck them out, and stuff them into whichever operation the week’s worksheet is practising. Understanding the story is treated as secondary.
The Waldorf approach reverses this. Before any pencil work, your child reads the problem twice: once to understand the story, and only once they know what is happening do they ask, “Is this adding, taking away, grouping, or sharing?” The operation is not given. It is discovered.
This block builds on everything your child has learned so far. Place value, rounding, estimating, the hundreds chart, the number line, tidy tens, and inverse operations have all been met in previous blocks. In Problem Solving, these strategies stop living in isolation and begin to work together. Your child chooses the strategy that fits the problem, not the other way around.
By working through word problems this way, your child achieves several things at once:
Mathematical reading: they learn to read a problem like a story, not a code.
Operation sense: they decide what is being done (add, subtract, multiply, divide) before they decide how.
Flexible strategy use: they pick the right tool for the job from everything they have learned this year.
Self-checking: they estimate, solve, and then check whether the answer actually makes sense.
The Curriculum: What You Will Teach
This block is designed to take 15 instructional days, and it gently threads together everything your child has done in maths this year.
What Your Child Will Meet:
Choosing an Operation: learning to decide whether a story calls for addition, subtraction, multiplication, or division.
Estimating and Checking: rounding to predict the answer, solving exactly, and checking whether the two are close.
Inverse Operations: using subtraction to undo addition and vice versa, for missing-number problems.
Applied Strategies: using the hundreds chart, number line, tidy tens, split, and compensation inside word-problem contexts.
Multi-Step Problems: beginning to handle problems that require more than one operation to solve.
Your Learning Intentions:
By the end of the 15 days, your child should be able to:
Read a word problem and identify the operation it requires.
Estimate an answer before solving exactly.
Use the inverse operation to solve missing-number problems.
Choose an appropriate strategy from their year’s toolkit to solve each problem.
Record problems, working, and answers neatly in the Main Lesson book.
Practical Guidance: How to Set Up Your Space
Simple materials. The real work is the thinking.
Materials Needed:
Main Lesson Book: For the final, tidy record of each day’s problems.
Lined Exercise Book: For working out and skills practice.
Block and Stick Crayons: High-quality beeswax crayons (such as Stockmar).
Graphite Pencil: Chunky or triangular grip.
Counters: For support when concrete thinking is needed.
A Hundreds Chart: Printed or reused from the Place Value blocks.
Scrap Paper or a Small Blackboard: For drawing number lines and working through problems before publishing.
💡 Teacher Tip: Read the Problem Twice Before Picking Up the Pencil
The single most important habit in this block is the pause between reading and solving. Have your child read the problem aloud once. Then read it again. Only then ask, “What is happening here? Is something being joined, taken away, grouped, or shared?” This is where most children lose their way in word problems. They rush to the numbers and miss the story. The pencil does not move until the story is understood. With practice, your child will do this silently and instinctively for the rest of their mathematical life.
The Waldorf Method: How to Structure a Daily Lesson
Each day follows a four-part rhythm: Review, New Learning, Activity, Bookwork. Here is how it looks on Day 1: Introduction to Problem Solving.
Step 1: Review
Ask your child what they remember about place value. What is it? How does it help with big numbers? Then read three numbers aloud (457, 104, 3985) and ask them to identify the thousands, hundreds, tens, and ones. Ask which strategies they remember from the Place Value and Strategies block: the hundreds chart, number line, tidy tens, split, compensation. Round a few numbers (47, 83, 19) to warm up.
Step 2: New Learning (Choosing an Operation)
Explain that a problem is a small story where something is happening to numbers: they are being put together, taken away, shared out, or repeated. Work through three examples together:
“Lina collected 24 berries. Arlo gave her 13 more.” Adding.
“Farmer Plus picked 58 apples. He used 20 for pies.” Subtracting.
“There are 3 baskets, each with 4 eggs.” Multiplying.
Build a small keyword list together: altogether, more, in total means add; left, fewer, difference means subtract; groups of, times as many means multiply; shared between, each gets means divide.
Step 3: Activity
Read several short problems aloud, one at a time. For each, your child tells you which operation the story requires and why. Then solve two or three together using a strategy of their choice.
Step 4: Bookwork
Example Bookwork Instructions:
Open a new Main Lesson book. Leave the first page as a title page, to be decorated with numbers and mathematical symbols around the words Problem Solving.
Turn to the next page. Draw a block-crayon border and write the heading Choosing an Operation.
Display four or five word problems. Your child identifies the operation for each, writes it as an equation, chooses a strategy, shows working, and writes the answer clearly.
Over the following days, your child will meet estimating and checking, inverse operations for missing numbers, and applied uses of the hundreds chart and number line inside richer problems. The block closes with multi-step problems that require more than one operation, bringing everything together.
Build It Yourself vs. The Guided Curriculum
You now have the method and the first day of teaching Problem Solving at home. If you have the time and energy, you can plan the 15-day progression, write age-appropriate word problems that gently increase in complexity, sequence the strategies, and prepare daily bookwork pages.
For many homeschooling families, though, writing three weeks of carefully paced word problems and sequencing the strategies with the right examples is more than a busy week allows. If you would rather spend your mornings solving with your child than writing problems late at night, the complete Problem Solving block is ready for you.
What’s Inside the Complete Block?
When you unlock the full block, every day is prepared for you. You instantly receive:
15 Complete Daily Lesson Plans: From choosing an operation through to multi-step problem solving.
Carefully Paced Word Problems: Starting simple and gradually building in complexity, with optional challenge problems for each day.
Strategy Reminders: Reference pages for every strategy your child has learned this year.
Main Lesson Book Artwork: Reference pages for every daily bookwork task.
Daily Morning Circle: Mental maths, rhythmic counting, and problem-solving warmups.
Daily Skills Practice: Handwriting, phonics, time reading, and mental arithmetic alongside the main lesson.
Teacher Tips Throughout: So you always know when to slow down, when to prompt, and when to let your child work it out alone.
Everything is carefully structured to give you the confidence of an experienced Waldorf teacher, right through to the last word problem of Grade 2.