Why This Pre-Algebra Class Is Different

Most pre-algebra classes start the same way. Open to page one. Here's a definition. Here are twenty practice problems. Repeat for a year.

Kids can get through that. Plenty of them pass tests doing exactly that. But ask a student six months later why you cross-multiply, or what a percent of change actually is, and you'll usually get a blank look. They learned the steps. They never learned what the steps were for.

This class works differently, and not in a "we use real-world examples sometimes" way. The entire year is one continuous mystery.

Here's the premise. Two cousins, Maya and Eli, inherit their grandfather's old farm for the school year. He's left them a locked strongbox and one note inside: "Everything you need to know is already on this farm. You just have to do the work to find it." Every week, they work through another piece of the property, an old general store ledger, a hidden dirt racetrack, decades of weather records, a workshop full of half-finished projects, and every part of it only makes sense once you do the actual math behind it.

The math isn't decoration on top of the story. It's the tool the story needs. Solving an equation isn't a worksheet exercise, it's how Maya figures out what the ledger's cryptic shorthand actually means. Ratios aren't an abstract unit, they're how the cousins figure out if the old farm's crop rotation still makes sense.

My co-teacher Watson sits in on every class too. He's a real offline robot I built myself, and he works through the case right alongside the students, asking the questions they're already thinking and occasionally getting there a step behind everyone else.

Classes run live, twice a week, 40 minutes each, with short posts in between: worked examples to reinforce what was just taught, and a second post that mixes review, a harder challenge problem, and something just for fun, a puzzle, a hands-on activity, a piece of math history. Chapter tests happen every few weeks, print at home, no new apps or logins required.

Here's a small piece of how it opens.

The attic hadn't been touched in years. A single shaft of window light cut across stacked boxes and furniture draped in old sheets, and Eli was already regretting volunteering for this part.

"This whole attic is just boxes of more boxes," he said, dragging a tarp off an old wooden trunk.

Maya didn't look up from her notebook. "That's what an inventory is, Eli."

Inside the trunk sat a metal strongbox, tarnished, with a tag scratched J.H. into the metal. A small keyhole. Locked.

"Locked," Eli said.

"So. Not receipts," Maya said, already running her fingers along the underside of the trunk lid. A small key, taped there, came away in her hand. "Found it. Grandpa never was subtle."

Inside, under a stack of yellowed papers, was a single folded note.

Everything you need to know is already on this farm. You just have to do the work to find it.

Eli read it twice. "...That's it? That's the whole note?"

Maya was already reaching for the next paper in the box. "There's more in here."

If your student needs real pre-algebra, the kind that actually gets them ready for Algebra 1, and a reason to actually want to show up, this is what the whole year looks like.

How Context-Based Learning Shapes Every Class I Teach: One Deliberate Exception Included

In my last post I talked about why context-based learning works. What the research says, why the human brain responds to problems differently than to facts in isolation, and why the entry point into a subject matters as much as the content itself.

Here is what that looks like in practice across every class I teach. And where I deliberately broke my own rule, and why.

This Is What Most of My Classes Do

In Science Through Stories, I use novels and films, selected for narrative quality, not because they happen to mention photosynthesis, as the entry point for real science. Ray Bradbury's description of a sunrise on Venus in All Summer in a Day is a nearly perfect account of Rayleigh scattering. The City of Ember's failing generator is a real lesson in electrical grids and hydroelectric power. WALL-E's Earth is an entry point for ecology, chemistry, and atmospheric science.

The story is what makes the student want the science. That matters.

In the Forensic Science series, every case is built around a genuine forensic technique, fingerprint analysis, DNA profiling, blood spatter physics, toxicology, and the technique is introduced because the case requires it. Students do not learn about surface tension because it is on the curriculum. They learn it because they need it to figure out where something happened in a mall food court.

In the applied mathematics classes, real-world situations drive the math. Not "solve for x" but "here is a structural problem. What happens when one variable changes?" The math is the tool. The problem is the reason to pick it up.

The Exception: Engineering 101

Engineering 101 is 32 weeks of straight college-prep rigor: calculus, statics, differential equations, circuit analysis, thermodynamics, fluid dynamics. There is no narrative hook. No case to solve.

The content IS the hook because the students who belong in this class are the ones who want to know what the first two years of an engineering program actually look like before they commit to that path.

For that student, transparency IS the pedagogy. Showing them the real thing. Not a simplified version, not an introduction to the idea of engineering, but the actual content at the actual level, is the most useful thing I can do. If they love it, they arrive at college prepared and ahead. If they discover it is not for them, they find that out while the stakes are low, not after paying a semester of tuition.

Both outcomes serve the student.

The boy who ended up in forensic accounting came through my forensic science class first. But if he had walked into Engineering 101 and found that the quantitative rigor energized him, even without a mystery attached, he might have found a different door to the same destination. Different approach. Same goal: give the student enough of the real thing that they can figure out who they actually are.

But Is It Rigorous?

This is the question I get from parents who worry that engaging = easy, or that a mystery format means the science is dumbed down. The answer is no.

The fingerprint class covers the statistics of the 12-point minutiae standard, why that threshold exists, what the probability of a false match is at different point counts, and why a 7-point partial print is inconclusive. Students calculate those probabilities themselves.

The blood spatter class covers the formula sin(θ) = width ÷ length, applies it to actual measurements, and uses the results to reconstruct event sequences geometrically. Students use trigonometry.

The DNA class covers PCR amplification, STR loci, population statistics, and familial matching percentages. Students compare simplified DNA profiles and evaluate what different confidence levels mean for court admissibility.

The toxicology class covers colorimetric screening vs. GC-MS confirmation, how gas chromatography separates compounds by retention time, and how mass spectrometry produces a molecular fragmentation pattern that functions as a chemical fingerprint.

These are the real concepts, taught in a context that makes students want to understand them.

The NGSS standards met across the forensic science series include MS-PS1.A, MS-PS1.B, MS-PS2.A, MS-LS1.A, MS-LS3.A, and MS-LS3.B, plus Science and Engineering Practices SEP 4, SEP 7, and SEP 8 across every class. Documentation is available for charter school and co-op funding requests.

Where to Start

If you are curious about whether this approach works for your kid, the lowest-stakes entry point is one two-week forensic science mini-course. Each case is self-contained. No prior knowledge required. Just one mystery, one forensic technique, and eight days of content.

If your child is younger or prefers stories to mysteries, the Science Through Stories series starts with picture books for the youngest learners and moves through novels and films for upper elementary and middle school.

If your teenager is considering engineering, or thinks they might not be interested, and you want to find out for certain, Engineering 101 is the class that answers that question before the tuition bill arrives.

The common thread across all of it: give the student enough of the real thing that they can figure out who they actually are. The student who says they hate science sometimes turns out to be the one who stays after class to ask one more question.

That kid is everywhere. They just need the right door.

Why Your Kid Might Learn More Science From a Mystery Than a Textbook

I have been teaching science for over twenty years. I have taught it in private schools, in homeschool co-ops, in 4-H programs, and online. I have taught kids who loved science and kids who were convinced they hated it. I have taught kids who were told they were not science people.

Let me tell you about two of them.

The first was a girl who joined my middle school chemistry class. Her mom warned me upfront: "She hates science. I just want you to know." She was polite. She did the work.

By the end of the semester, she was cornering family members at gatherings to tell them chemistry facts. Not because I asked her to. Because she had found something that clicked and she wanted to share it. She did not become a chemist . She went on to attend a college preparatory high school and found her path there. But something shifted that semester in the way she thoguht about science.

The second was a boy who took my forensic science course. He was good at math, really good, and he knew it. When I asked him what he wanted to do with it, he said: "Not engineering. That sounds boring. Not accounting either. That sounds even more boring." He ended up in forensic accounting.

He found a field that did not exist for him before he started asking questions about how evidence works and how numbers tell stories about real problems. He did not become what he expected to become. He became something that fit the way his brain actually worked.

Here is what I have learned from twenty years of watching this happen: almost no child actually hates science. What they hate is science disconnected from anything they care about.

The question "what is surface tension?" produces glazed eyes. The question "why does a drop of blood form a perfect sphere when it falls through the air — and what does that sphere tell you about where something happened in a room?" produces something completely different.

Same concept. Completely different engagement. Because one question has stakes and one does not.

This is not a gimmick. It is the way learning actually works.

What the Research Says

Educational researchers have a term for this: contextual learning. The idea is simple — students learn and retain information more effectively when it is embedded in a meaningful context rather than presented in isolation.

John Dewey argued for this in the early 1900s. Jerome Bruner's work on narrative and cognition in the 1960s showed that the human brain is fundamentally a story-processing machine. We understand and remember information better when it comes embedded in a narrative structure. More recently, researchers studying STEM education have consistently found that problem-based learning, where students encounter a real problem first, then acquire the knowledge needed to solve it, produces stronger conceptual understanding and longer retention than traditional instruction.

None of this is controversial in educational research. It is, however, still underrepresented in standard curricula — because textbooks are easier to standardize than mysteries.

The Problem With "Just Take Biology"

A standard biology class covers cells, genetics, ecosystems, evolution, and human body systems. These are genuinely important topics. I am not saying never take biology.

What I am saying is that a biology class that covers DNA replication in Chapter 7 between photosynthesis and the cell cycle is asking students to care about something in the abstract, to trust that it will matter someday, without giving them a reason to care about it today.

Some students can do that. Many cannot. And the ones who cannot are not failing because they lack intelligence or curiosity. They are failing because the human brain is not well-designed for learning things in the abstract. It is well-designed for solving problems.

Here is what happens when you teach DNA in the context of forensic investigation:

The student encounters a problem first: a child is found at a bus station with no memory of her name. How do investigators identify her?

That question creates what researchers call cognitive readiness to learn — the brain is primed to receive information because it has a reason to want it. When the lesson then explains what STR loci are, how PCR amplification works, and why 20 matching loci produces a 1-in-1-quadrillion probability, the student is not learning facts in isolation. They are acquiring tools to answer a question they already care about.

The retention difference is significant. The engagement difference is visible in real time.

So what does this actually look like in a real classroom? To see how this philosophy shapes every class I teach, and one notable exception, continue reading here.

Could You Actually Grow Potatoes on Mars?

If you got stranded on Mars tomorrow and someone handed you a bag of potatoes, could you actually grow them in the dirt outside your window?

That's the setup in "The Martian" by Andy Weir. If you've seen the movie, you know the plan: Mars dirt, plus human waste, plus water, equals dinner. It looks almost easy on screen.

It is not easy. Mars soil has a chemistry problem that never even comes up in the movie, and once you know what it is, you won't watch that scene the same way again.

Here's why this isn't just a fun "what if," though. Astronauts on a normal mission eat somewhere around 1.7 to 2.5 kilograms of food a day. Stretch that across a multi-year round trip to Mars and NASA's own estimates put the food alone at close to 3,000 kilograms, per person, if every single bite has to launch from Earth. Multiply that by an actual crew and you've got a rocket that's mostly groceries.

That's the real problem sitting underneath Watney's potato plan. It was never really about potatoes. It's about mass. Every kilogram of food you don't have to launch is a kilogram you can spend on fuel, equipment, or just getting people home safely. Growing food once you get there isn't a nice bonus for a Mars mission, it's one of the only ways a mission like that becomes possible at all.

So did the movie actually solve that problem? Sort of. It got the goal right and the method very wrong.

In this class, my co-teaching robot Watson and I dig into what "The Martian" got right, what it got very wrong, and what real researchers are actually doing right now to solve the Mars food problem for real. (Haven't met Watson yet? He's a real offline robot I built myself. Long story, worth its own post.)

You'll walk away knowing:

• What's actually toxic about Martian soil, and why it's not what most people guess

• Why "human waste as fertilizer" is half right and half genuinely risky

• What plants actually need to grow, and why soil might not even be the important part

• What real scientists are testing on Earth right now for future Mars missions

This one's a single async class, 25 to 30 minutes, ages 12 to 15.

Grab it here with code JBLOG7510 for a free seat while it's active.

Not ready to enroll yet? Try this first.

You're the first person sent to live on theMars, and it's your job to design a greenhouse that can feed everyone there. Draw it, then think through what you'd need to bring from Earth to build it, and what you'd grow to keep everyone healthy. No right answers required, just curiosity. That and more Mars activities are included in this Mars packet: Download here for free.