Empowered Homeschool Maths

Maths That Inspires Creative, Critical Thinking.

For families who want mathematics to be more than a workbook or an app. Invite your child to notice patterns, build ideas, test possibilities, make connections and discover that mathematics is something they can explore.

Explore the learning journey ↓See the evidence

Hands-onScreen-lightVisually richCritical thinkingKindergarten–Year 6

Children exploring mathematical ideas together using blocks, cards and whiteboards

Empowered Homeschool MathsLearning that begins with understanding—and grows into possibility.

Free Maths Games & ChallengesExplore ↗Free Online Maths PlannerComing soon How to Teach Maths VisuallyComing soon Free Maths Games & ChallengesExplore ↗Free Online Maths PlannerComing soon How to Teach Maths VisuallyComing soon

A different vision for maths

Your child was not made to simply complete maths. They were made to explore it.

Understanding before rushing.

Children deserve time to see why mathematics works, connect it to what they already know and build foundations that last.

Thinking beyond the answer.

The goal is not a child who waits to be shown every step. It is a child who notices, questions, chooses, explains and adapts.

When maths is a page to finish

Repeat the method. Record the answer. Move on.

One demonstrated procedure
Rows of similar questions
Success measured by correct answers
The adult does most of the mathematical thinking

When maths is an idea to explore

Notice. Represent. Question. Connect.

Build and draw what the numbers mean
Compare strategies and make decisions
Investigate patterns, errors and possibilities
The child becomes the mathematical thinker

The learning journey

From “What do I teach?” to a child who thinks mathematically.

Follow one idea through six connected stages. Each stage tells you something new about your child’s understanding.

01 · Discover

Begin with what your child already knows.

A short, low-pressure pre-assessment reveals secure ideas, unfinished learning and the misconceptions hiding behind an answer.

A student showing mathematical understanding on a whiteboard

02 · Focus

Choose one meaningful goal.

Translate the curriculum into a clear purpose your child can understand: what are we learning, and what will it help us do?

One clear idea.

03 · Visualise

Make the mathematics visible.

Model the idea with objects, drawings, number lines and language. Connect what children can touch and see to the symbols they will use.

$Katrina making a fraction visible using a bar model and number line$

04 · Reveal

Let your child show what they understand.

Invite them to build it, draw it, explain it and solve it in more than one way. Their representation reveals the thinking—not just the answer.

Draw. Build. Explain.

05 · Strengthen

Build fluency without building anxiety.

Use purposeful dice and card games where winning is decided by chance, not speed. Repetition becomes playful, social and safe.

Adults exploring mathematics with dice, cards and concrete materials

06 · Empower

Use the understanding to think.

Compare strategies. Investigate a misconception. Make a decision. Apply the idea somewhere unfamiliar. Then revisit the goal and make growth visible.

Explore. Connect. Extend.

The destination

An independent, flexible mathematical thinker.

Not a child who has memorised every answer—a child who knows what to try when the answer is not obvious.

What this kind of learning develops

Knowledge gives children a starting point. Thinking gives them somewhere to go.

When children see, represent, discuss and apply mathematical ideas, they are building far more than a set of procedures.

Deep understanding

Children connect objects, pictures, language and symbols. New learning has something solid to attach to, making it easier to recall and use.

Confidence and agency

Children learn that being stuck is part of mathematics. They can choose a representation, test a strategy and adjust instead of waiting to be rescued.

Critical and creative thinking

Children compare, justify, generalise and apply. They begin to ask “What do I notice?” “Does that always work?” and “Is there another way?”

The evidence behind the journey

Research that changes what we do.

These findings are useful because they point to teaching actions: connect concrete materials to ideas, secure understanding before racing ahead, use games purposefully and teach children to monitor their own thinking.

Research averages guide good decisions; they are not guarantees for an individual child.

studies of concrete mathematics materials

A large meta-analysis found a positive effect when hands-on materials were deliberately connected to abstract mathematical ideas. The object is not the lesson—the connection is.

Read the study ↗

months of additional progress

The average impact estimated for mastery learning: make the learning goal clear, diagnose gaps and give understanding time to become secure before moving on.

Explore the evidence ↗

mathematics game studies

A mathematics-specific review found a meaningful positive effect from game-based learning. Purposeful games can build practice and engagement together.

Read the study ↗

months of additional progress

The average impact estimated for metacognition: teaching children to plan an approach, check their progress and explain why a strategy works.

Explore the evidence ↗

Katrina Mardell in her mathematics learning space

Katrina modelling mathematics visually with parents

Meet Katrina Mardell

I want parents to see the mathematics teachers see.

I’m a teacher, curriculum leader, mathematics education specialist and mum. I have spent my career noticing what sits underneath a child’s answer: the idea they understand, the connection they have missed and the question that might unlock the next step.

I have led whole-school mathematics improvement and mentored Kindergarten to Year 6 teachers. Empowered Homeschool Maths brings that professional knowledge into clear, supportive language families can actually use.

20years in education

12years in curriculum leadership

2schools led through maths improvement

You do not need to speak “teacher language” here. Bring what you notice, what worries you and what you have already tried. Questions are welcome.

When you want personalised direction

You know your child. I can help you see the next mathematical step.

After you have explored the approach, personal support is available for families who want help turning it into a manageable plan.

Personalised Homeschool Maths Direction

A focused 60-minute Zoom session built around your Kindergarten to Year 6 child—not a general chat and not a one-size-fits-all program.

BeforeA short parent questionnaire so our time begins with what matters.

TogetherWe unpack strengths, sticking points, confidence and current learning.

Your directionClear priorities: what matters now, what can wait and how ideas connect.

AfterA written summary of the agreed teaching focus and practical next steps.

One focused hour

$149

AUD · Australia-wide via Zoom

Start a conversation ↗

Practical starting tools

Begin simply. Teach purposefully.

The free planner and visual guide will open once the supporting resources are ready.

Coming soon

Free Online Maths Planner

Choose a focus, build a balanced sequence and keep the learning manageable.

Join early access ↗

Coming soon

How to Teach Maths Visually

Use objects, drawings and whiteboards to make mathematical ideas visible.

Join early access ↗

A small useful kit

No expensive equipment required

Two whiteboards, coloured markers, cards, 6- and 9-sided dice and base-ten blocks can support years of rich mathematics.

Ask Katrina a question ↗