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[Podcast #335] How to Build Mathematical Imagination Through Everyday Life, Play, and Curiosity

Brave Writer Podcast

What if math felt less like drudgery and more like discovery? 

In this Brave Writer podcast episode, we explore “mathematical imagination” and the many ways math is already alive in everyday family life. We talk about counting, measuring, predicting, sports, video games, art, nature, and how curiosity can turn numbers into something meaningful.

We also share practical ways to make formal math time more inviting, from manipulatives and mystery-based activities to math tea times and even bubblegum math. If you’ve ever wanted to help your child experience math as a language for describing the world, this conversation is for you. 

Tune in, then come tell us what math looks like in your home.

Show Notes

For many of us, math was taught as a subject of procedures: memorize the facts, follow the steps, get the answer. It often felt detached from daily life, as though numbers only mattered on worksheets and tests.

But math is far more alive than that.

Math is one of the ways we describe the world. It helps us make sense of time, quantity, distance, proportion, patterns, and change. When we begin to see it that way, math becomes less about performance and more about perception. It becomes a way of noticing.

That shift can change everything for our kids.

Math is already happening

One of the gifts of homeschooling is that we are not limited to a single hour of “math time.” We live with math all day long. We check the clock. We divide food fairly. We estimate how long something will take. We compare measurements, track the weather, count steps, budget money, and notice patterns in nature.

Children encounter mathematical ideas long before they can explain them formally. A young child counting toes, sorting objects, or asking whether thumbs are fingers is already exploring categories, quantity, and comparison. A child measuring sunflower growth or guessing how many windows are in the house is practicing estimation and observation. These are not distractions from math. They are the beginning of it.

When we treat these moments as meaningful, we help our children build a relationship with math that starts in curiosity rather than anxiety.

Make math tangible and relevant

Children understand ideas more deeply when they can touch them, test them, and connect them to something they care about.

That might look like using edible manipulatives for multiplication, baking to explore fractions and measurement, or weighing ingredients on a kitchen scale. It might look like comparing Fahrenheit and Celsius, noticing patterns in flower petals, or graphing how many leaves fall from a tree over the course of a week.

It may also show up in places we do not immediately recognize as academic. A child playing Minecraft may be calculating resource efficiency. A child managing a farm simulation game may be comparing rates of return. A sports-loving child may already understand scoring systems, percentages, and statistical comparisons better than we realize.

The point is not to force a lesson onto every interest. It is to notice where math already matters and help our children make that connection consciously.

Wonder matters as much as practice

Of course, children do need practice. Some parts of math require repetition, concentration, and patience. Not every lesson will feel magical.

But understanding grows best when it is supported by meaning.

When children can see what math is for, the formal work begins to make more sense. The symbols are no longer floating in space. They are attached to real experiences, real questions, and real discoveries.

This is why prediction, mystery, and surprise can be so powerful. Estimating how many beans are in a jar, wondering whether your wingspan matches your height, or mapping the solar system across your neighborhood invites children into math through fascination. They want to know the answer because the question belongs to them.

That is a very different posture than simply finishing a page.

Create an environment that invites attention

Sometimes the activity itself is hard. When that happens, we can still make the experience more welcoming.

A special snack, a candle, a clipboard, a favorite seat by the window, a cup of tea, a small ritual before beginning. These quiet choices can transform the emotional atmosphere around math. Children are more willing to stay with challenging work when the environment feels calm, personal, and pleasant.

We do not need to make every lesson entertaining. But we can make room for comfort, dignity, and delight.

Help children see the world mathematically

What we want is bigger than correct answers. We want children to notice patterns, ask questions, compare systems, make predictions, and understand relationships. We want them to see that math is not a disconnected school subject but one of the tools humans use to interpret reality.

When we nurture mathematical imagination, we are doing more than teaching arithmetic. We are helping our children become more observant, more thoughtful, and more confident in the face of complexity.

Math does not have to begin with a workbook.

It can begin with a question, a game, a measuring tape, a recipe, a sky full of stars, or a child who wants to know why.

Resources

Connect with Julie

Connect with Melissa

Produced by NOVA

Brave Writer Podcast

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[Podcast #334] Rescuing Reluctant Writers: Brave Writer Online Classes

Brave Writer Podcast

What if an online writing class didn’t mean Zoom fatigue, rigid schedules, or one more thing to manage?

In this Brave Writer podcast episode, Melissa Wiley talks with Kirsten Merryman about what makes Brave Writer’s online classes so different: asynchronous discussions, text-based coaching, warm instructor feedback, and a structure that makes room for all kinds of learners.

We explore:

  • how real writing growth happens,
  • why parents learn right alongside their kids,
  • and which classes might be the best fit for your family, from Story Switcheroo to Essay Prep.

Kirsten Merryman is Brave Writer’s Vice President of Operations and former director of online classes. She is also a longtime homeschooler, writing coach, and curriculum creator who has helped shape Brave Writer’s approach to supporting both parents and young writers.

Join us to discover how writing support can feel personal, practical, and surprisingly freeing.

Show Notes

What Makes Writing Instruction Actually Work?

Every homeschooling parent has felt it: your child has something interesting to say, but the moment writing begins, the struggle starts.

What should be an act of expression can quickly turn into frustration, avoidance, or tears. It can feel tempting to focus on the obvious fixes, grammar, punctuation, spelling, structure. But what if strong writing begins somewhere else entirely?

The truth is, writing growth doesn’t start with correction. It starts with connection.

When children feel safe to put words on the page, when they know a reader is genuinely interested in what they mean, writing begins to open up. That shift can change everything.

Writing Is More Than Mechanics

It’s easy to think of good writing as clean writing.

We want our kids to use correct punctuation, organize their thoughts, vary sentence structure, and produce polished final drafts. Those skills matter. They help writing communicate clearly.

But mechanics are not the heart of writing.

The heart of writing is having something to say and believing it is worth saying. Children need space to discover their ideas before they can refine them. They need to experience writing as communication, not just as a performance of correctness.

That’s why messy first drafts matter. Real writers do not sit down and produce polished work in one pass. They draft, rethink, revise, and shape their language over time.

When we expect children to do everything at once, think of something meaningful, express it clearly, spell it correctly, punctuate it properly, and organize it neatly, we often make writing feel heavier than it needs to be.

Response Builds Confidence

One of the most powerful things we can offer young writers is a real reader.

When someone responds to a child’s writing with interest, something shifts. A comment like “This made me laugh,” or “I can really picture this,” or “You taught me something here,” does more than encourage. It helps the child see that writing has a purpose.

They are not just completing an assignment. They are reaching another human being.

That kind of response builds confidence. It also teaches. When children hear what is working in their writing, they begin to recognize their own strengths. They start to notice voice, detail, humor, rhythm, and insight.

This is often more useful at the beginning than a long list of corrections.

Once a child feels invested in their own words, revision starts to make sense. Improving the writing no longer feels like punishment. It feels like making something meaningful stronger.

Practical Ways to Support Writing at Home

Small shifts in how we respond to writing can make a big difference.

One helpful practice is to read as a reader first. Before correcting anything, notice what stands out to you.

You might:

  • point out a vivid word or phrase
  • mention a line that made you smile
  • reflect back an idea that felt strong or surprising
  • ask a curious question about something they wrote

Another useful approach is to separate drafting from editing. Let your child get the ideas out first. Save grammar, spelling, and punctuation for later passes.

It also helps to let children write about topics they truly care about. When a child is invested in the subject, they are far more willing to stay with the process.

Even reluctant writers often have strong opinions, deep interests, or a quirky sense of humor waiting to show up on the page.

The Real Goal

Many of us were taught to approach writing as correction first. We learned to look for what was wrong before we noticed what was alive.

But strong writing instruction begins by helping children experience themselves as writers.

That means noticing effort. It means honoring risk. It means looking for the spark in a rough draft and trusting that polish can come later.

Our goal is not simply to produce error-free papers.

Our goal is to help children develop fluency, ownership, and confidence so they can grow into writers who know they have something to say.

And when that happens, the mechanics become easier to teach, because the child is no longer just trying to finish.

They are trying to communicate.

Resources

Connect with Julie

Connect with Melissa

Produced by NOVA

Brave Writer Podcast

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[Podcast #333] Resisting FOMU, the Fear of Messing Up

Brave Writer Podcast

What if the biggest obstacle in your homeschool isn’t what you’re missing—but the fear that you’re doing it wrong?

This week on the Brave Writer podcast, we explore “fear of messing up” and how perfectionism quietly shapes our expectations, decisions, and confidence as parent educators.

We unpack:

  • where that pressure comes from,
  • how it shows up (hello, endless curriculum switching),
  • and why chasing the “perfect” method keeps us stuck.

We also share practical ways to shift your focus toward connection, curiosity, and process—plus tools like interval training and a flexible writing app to support real learning.

Ready to trade perfection for progress? Let’s rethink what success actually looks like.

Show Notes

Let Go of Getting It Right

Every homeschooling parent has felt it: the quiet worry that you might be doing it wrong.

You plan carefully, choose materials thoughtfully, and try to create meaningful learning experiences. But then your child resists, or something doesn’t click, or you see another family doing it differently—and suddenly, doubt creeps in.

What if that fear isn’t a sign you’re failing—but a sign you’ve been taught to expect perfection?

Much of us were shaped by systems that measured success by correctness. One hundred percent. Right answers. Completed work. Over time, we internalized the idea that learning should look polished and predictable.

But real learning rarely looks like that.

The Myth of the “Right Way”

It’s easy to assume there’s a correct path through education—a sequence of subjects, skills, and milestones that guarantees success.

Once you start homeschooling, that assumption quickly unravels.

Different philosophies emphasize different things. Some prioritize structure and sequence. Others focus on curiosity and exploration. Even school systems don’t agree on what should be taught or when.

There is no universal roadmap.

That realization can feel unsettling at first. But it also offers relief. If there isn’t one right way, then you’re free to respond to the learners in front of you.

The goal shifts from “getting it right” to “paying attention.”

Process Over Outcome

When we fixate on outcomes—reading by a certain age, mastering a concept on schedule—we start to measure every moment against a future result.

That creates pressure. And pressure often leads to frustration for both parent and child.

Learning happens in the present.

It happens when your child wrestles with a problem, asks a question, or makes a connection. It happens in the middle of the attempt, not just at the moment of success.

When we focus on process instead of outcome, we begin to notice those moments. We see growth where we once saw gaps.

And we create space for learning to unfold.

The Trap of the Endless Quest

One common response to uncertainty is to keep searching for something better.

A new curriculum. A different method. A promising system that seems like it might finally make everything work.

But constant switching often creates more disruption than progress.

Children need time to settle into a rhythm. What looks imperfect on the surface may actually be working just fine underneath.

Before changing course, it helps to ask: is something truly broken, or am I reacting to discomfort?

Sometimes the most productive choice is to stay the course.

Building Competency and Confidence

If perfection isn’t the goal, what is?

A more helpful aim is competency and confidence.

  • Competency grows through practice, variation, and time. It doesn’t require flawless performance—just steady engagement.
  • Confidence grows when children feel safe to try, struggle, and try again. Mistakes become part of the process, not evidence of failure.
  • Progress includes missteps. Choosing a program that doesn’t work or hitting resistance in a subject is information, not failure.
  • Growth happens when we stay responsive—adjusting, supporting, and continuing forward rather than starting over.

This applies to us as well.

We are learning how to homeschool in real time. We will choose materials that don’t fit. We will have days that feel off. We will question our decisions.

None of that means we’re doing it wrong.

It means we’re in the middle of learning.

The Long View

There will be moments that feel like missteps. A program that didn’t work. A subject that took longer than expected. A season that felt unproductive.

But those moments are not the whole story.

Learning is built over time—through repetition, adjustment, and lived experience.

What matters most is not whether every decision was perfect, but whether you stayed engaged, responsive, and willing to keep going.

That’s where growth happens.

And that’s more than enough.

Resources

Connect with Julie

Connect with Melissa

Produced by NOVA

Brave Writer Podcast

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[Podcast #332] Long-term and Working Memory

Brave Writer Podcast

Why does a child understand something one day and forget it the next? 

In this Brave Writer podcast episode, we explore what neuroscience reveals about how learning actually works. Drawing from Uncommon Sense Teaching and Make It Stick, we unpack the difference between working memory and long-term memory—and why retrieval, repetition, and even mistakes play a vital role in lasting learning.

We also share practical strategies like:

  • jotting notes,
  • sketching ideas,
  • and spaced repetition to help knowledge stick. 

When we understand the brain’s learning process, we can guide our kids with more patience and confidence. Listen in and discover how to turn everyday lessons into lasting knowledge.

Show Notes

When Learning Doesn’t “Stick”

Every homeschooling parent has experienced it: yesterday your child understood the concept perfectly. Today, it seems completely gone.

It can feel confusing—or even discouraging. But what if that cycle of remembering and forgetting is actually part of how learning works?

Research into cognitive science shows that learning depends on the interaction between two systems: working memory and long-term memory. Understanding the difference between the two can transform how we approach teaching our children.

Working Memory vs. Long-Term Memory

Working memory is like the brain’s temporary workspace. It holds information briefly while we use it, but it has limited capacity. Young children especially have much smaller working memories than adults.

That means when we give a child multiple instructions—change clothes, brush teeth, make the bed, and come downstairs—they may only remember the first step.

Long-term memory is different. Once information moves there, it becomes durable and accessible. Think about a childhood phone number or song lyrics you learned decades ago. They’re simply there.

The challenge in education isn’t storing information in the brain. Our brains have astonishing storage capacity. The real challenge is helping children retrieve what they’ve learned.

Retrieval Builds Memory

One of the most powerful discoveries in learning science is that retrieving knowledge strengthens it.

When students struggle to recall information—without looking at their notes—they strengthen the neural connections that store that knowledge.

That’s why practices like narration are so effective. When a child retells a story, explains a concept, or summarizes a reading in their own words, they are reinforcing the pathways that move information into long-term memory.

Even getting something wrong can help. The moment of struggle activates deeper processing in the brain, making the eventual correction more memorable.

Practical Ways to Reinforce Learning

Small strategies can make a big difference in helping learning stick.

One effective approach is student jotting—having kids record ideas in their own words.

They might:

  • Write brief notes explaining a math process
  • Sketch scenes from a history story
  • Jot keywords after reading a chapter.

Drawing can be particularly powerful. A simple comic-style sequence of events can help a child reconstruct an entire narrative.

Another helpful practice is spaced repetition. Before starting a new lesson, ask your child to recall what they learned yesterday. That small act of retrieval strengthens memory and builds continuity between lessons.

The Gift of Time

Perhaps the most reassuring insight from learning science is this: children develop working memory gradually. Adult-level capacity often isn’t reached until around age fourteen.

So when a child forgets something they understood yesterday, it isn’t a sign of laziness or lack of intelligence.

It’s simply the brain doing the work of learning.

Our role as homeschool parents is not to rush that process but to support it—to model, practice together, and give children opportunities to retrieve and apply knowledge over time.

Education isn’t about finishing learning by eighteen. It’s about building the habits and foundations that allow learning to continue for a lifetime.

Resources

Connect with Julie

Connect with Melissa

Produced by NOVA

Brave Writer Podcast

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[Podcast #331] A Slew of Practical Hacks for Your Homeschool

Brave Writer Podcast

Ever have one of those homeschool days when your brain feels completely empty?

We’ve been there too. In this Brave Writer podcast episode, we share a long list of practical, creative hacks that can revive your homeschool when energy is low. From painter’s tape timelines and DIY history games to geocaching adventures, urban walking tours, and quick art projects, we explore simple ways to bring curiosity back into learning.

We also talk about:

  • focus tools,
  • seasonal nature activities,
  • and building systems that make everyday homeschooling run smoothly.

If you need fresh inspiration or a reminder of the good ideas you already have, this conversation is for you. Tune in and start your own “good ideas” list today.

Show Notes

Every homeschooling parent eventually encounters it: the moment when ideas disappear.

Maybe life is busy. Maybe the news feels overwhelming. Maybe you are simply tired. Whatever the cause, there are seasons when creative energy feels low and the homeschool day begins to look flat.

One of the best antidotes is surprisingly simple. Start making a list.

When we sat down recently to brainstorm ideas, what began as a short list of practical homeschooling tricks quickly grew into page after page of small strategies that had helped our families over the years. Many were things we had used so often that we forgot they were clever at all.

That exercise reminded us how powerful small ideas can be.

Simple Tools That Unlock Learning

Some of the most effective homeschool tools are incredibly ordinary.

A strip of painter’s tape on the wall can become a history timeline. Add index cards with events, book covers, or drawings and suddenly history stretches across the living room.

A stack of blank index cards can become a homemade history game. Write events on the front, dates on the back, and challenge each other to place them in chronological order. Because kids help create the cards, they remember the information far more easily.

Even a cookie sheet can become a learning tool. Add magnets and it turns into a portable activity tray for car rides, hospital visits, or quiet moments during read-aloud time.

The point is not fancy materials. The point is flexibility.

Let the World Become Your Curriculum

Some of the richest learning happens outside textbooks.

Geocaching, for example, sends families searching for hidden treasures using GPS coordinates. Along the way you learn local geography, landmarks, and bits of community history.

Urban walking tours offer another doorway. Cities are full of stories if we slow down enough to notice them. Old stairways, public murals, historic buildings, and even the names of streets reveal layers of history beneath everyday life.

When children begin to see their own neighborhood as a place with a story, history suddenly becomes real.

Build Rhythms That Support Focus

A homeschool day runs more smoothly when it balances different kinds of energy.

One framework we love divides tasks into four categories:

  • Focus: deep work such as reading or writing
    Fire: medium tasks that create a sense of accomplishment
  • Fast: quick chores or small jobs
  • Fun: playful breaks that restore energy

Children thrive when both concentration and joy have space in the day.

Music can also help guide transitions. A familiar song can signal cleanup time or reading time without constant reminders.

Tiny Rituals Matter

Small rituals often carry the most meaning.

Planting peas in early spring, reading one poem a day, or keeping a sticker reading journal can become anchors in family life. These activities take only minutes, yet they create continuity and delight.

The deeper lesson is this: education does not always require grand plans.

Sometimes it begins with a scrap of tape on the wall, a handful of seeds, or a single good idea written down in a notebook.

To help you put these ideas into action, here’s the full checklist of practical homeschool hacks we discussed:

  • Adhesive whiteboard that sticks to your wall. Lap-sized whiteboards for math & handwriting practice & general doodling. 
  • Painter’s tape for timelines + write events on index cards and tape to wall.
  • Make-your-own Chronology game (this is an actual card game, but we made our own with index cards).
  • Combine geocaching with local geography & history.
  • Watch urban planning videos — you learn so much about how neighborhoods are constructed!
  • A spin on the above idea — put your own area into the YouTube search bar with “buildings” or “urban planning” or other terms. We’ve been learning about specific Portland buildings & landmarks this way. Also: look up the origin of place names in your area. Great local history!
  • Cookie sheet with magnets for car trips with littles (and other uses).
  • Make a FOCUS-FIRE-FAST-FUN grid for triaging tasks.
  • Pencil sharpening! A little thing that makes a big difference: assign pencil sharpening to a weekly time slot. Get a good sharpener. Also — scissors and tape in every room.
  • Create your own bookmarks. Have the kids do wet-on-wet watercolors and then cut into bookmarks. Leave a stash on every bookcase.
  • Take an afternoon to create playlists for yourselves: one for afternoon tidy-up chores, one for instrumental music while reading, one for songs you play to transition between daily activities, etc.
  • Check out Joshua MacNeill’s book: 101 Brain Breaks & Educational Activities.
  • Have a day for choosing the best squishy stuff for playing with during read alouds – what does each kid like best? Beeswax, Sculpey, modeling clay, silly putty, playdough, wiki stix. Make the texture exploration an activity by itself.
  • With spring coming — plant some peas & sweet peas! An old custom in some regions was to plant your peas on St Patrick’s Day. They like cold soil. Cheap, easy activity for rapid payoff.
  • Decorate by cutting out frames from black card stock, stick to clear contact paper, make designs out of pieces of tissue paper. Easy holiday window decor.
  • Look up local foraging groups. Might be able to join a walk & learn about edible plants.
  • Learn about wildlife corridors. Can your yard become one? Some easy ways to assist. Pick one species you’d like to help. Look up its needs: for example, if a butterfly: what host plant is native to your area? What nectar plants attract it? What else might it need – a dish of water with stones for perching on? Or – mason bees. Various birds. Start with a single species and learn how to spot it. Notice who else shows up. A literary tie-in for older kids: Read The Serviceberry by Robin Wall Kimmerer. 
  • A nice tie in – a poetry anthology like The Wonder of Small Things (edited by James Crews) or Sing a Song of Seasons: A Nature Poem for Each Day of the Year  (Fiona Waters & Frann Preston-Gannon). Consider propping on a bookstand turned to each day’s page.
  • Any seasonal nature book is great to prop open. Like a field guide turned to a bird your kids might encounter. 
  • Make a list of short stories you’d like to discuss with your kids. Keep this on hand for times when you want a short-term literary activity — say, between longer books, or whenever life is filling up with appts/distractions/new baby/etc and you want something self-contained. A good short story immersion can span a single afternoon (but will likely stick with your kids forever).
  • Visual reading journal: Melissa’s daughter chooses a sticker to represent each book. When she finishes a book, she puts the sticker in her notebook with the date, gradually creating a page full of stickers. On the facing page, she writes details about the books. 

You don’t always know how much you know! Make a GOOD IDEAS notebook or Apple Note!

Resources

Connect with Julie

Connect with Melissa

Produced by NOVA

Brave Writer Podcast

Posted in Podcasts | Comments Off on [Podcast #331] A Slew of Practical Hacks for Your Homeschool