Topic · Logic

Logic essays

12 essays from The Pattern Journal.

A child studies a four-by-four sum-cage grid while a parent holds 1 and 4 tiles and Geo points to a cage labelled 5
Logic
Sum-Cage Puzzles for Beginners: List the Pairs Before You Guess

Use cage totals to make a short candidate list, then let row, column and region rules cross out the choices that cannot fit.

Math & Patterns · Sep 5, 2026 · 4 min
Geo referees two friends responding to arrow cards as the rule placard changes from point to move
Logic
Task Switching Game: Change the Rule, Not the Arrow

Use the same moving arrows under two different rules, mark every rule change, and compare repeat and switch trials without turning the result into a diagnosis.

Math & Patterns · Aug 28, 2026 · 3 min
A child points to the single left-facing centre bird while four surrounding birds face right and Geo blocks the distractions
Logic
What Is a Flanker Task? Try the Centre Test

Respond to the middle target while nearby symbols agree or conflict, then separate the simple task rule from claims the result cannot support.

Math & Patterns · Aug 20, 2026 · 3 min
Blue and lilac clay shapes on a winding paper track, with the two newest matching shapes paired in the foreground
Logic
What Is a One-Back Task? The Rule Behind Same-or-Different Games

A one-back task asks you to compare the current item with the item immediately before it. Here is how the rule works—and what a score cannot tell you.

Math & Patterns · Aug 19, 2026 · 3 min
A cream tile grid above two outlined groups of mint and blue clay tiles, suggesting separate chunks of remembered positions
Logic
Working-Memory Games: What They Test—and What They Do Not Prove

Memory-game scores can show task learning and strategy change. They do not automatically demonstrate higher intelligence, academic gains or clinical improvement.

Math & Patterns · Aug 19, 2026 · 3 min
Geo and two children compare BLUE printed in blue ink with BLUE printed in red ink, beside a red paint swatch
Logic
The Stroop Effect: Why Colour-Word Games Create Interference

Naming ink colour is usually slower when a written colour word points to a competing answer. The effect is reliable, but an individual game score is not a diagnosis.

Math & Patterns · Aug 19, 2026 · 3 min
Blue paper threads connect raised navy and coral nodes, with one route crossing and another loose route end nearby
Logic
Shortest-Route Puzzle Strategies Without False Optimum Claims

Build a quick candidate route, remove avoidable crossings, test local swaps and compare alternatives—while keeping heuristic improvement separate from proof.

Math & Patterns · Aug 19, 2026 · 3 min
Sites Like Coolmath Games When You Want Real Math Practice illustration
Logic
Sites Like Coolmath Games When You Want Real Math Practice

An honest comparison for parents who like casual web games but want a more focused math-practice loop on the phone.

Math & Patterns · May 24, 2026 · 3 min
Math Games for Adults: Mental Math Without the Classroom Feeling illustration
Logic
Math Games for Adults: Mental Math Without the Classroom Feeling

A practical guide for adults and teens who want short math practice that feels like a phone game, not a school worksheet.

Math & Patterns · May 24, 2026 · 3 min
Multiplayer Math Games: Why Playing Against Real People Changes Practice illustration
Logic
Multiplayer Math Games: Why Playing Against Real People Changes Practice

A practical guide for parents comparing solo math apps with short, live math duels.

Math & Patterns · May 24, 2026 · 4 min
Chess.com for Math: What Competitive Math Practice Could Look Like illustration
Logic
Chess.com for Math: What Competitive Math Practice Could Look Like

The point is not to copy chess. It is to bring puzzles, fair matches, daily practice, and community energy to math.

Math & Patterns · May 24, 2026 · 3 min
How to Make Math Practice Feel Like a Mission illustration
Logic
How to Make Math Practice Feel Like a Mission

Mission-based practice gives children a small goal, quick feedback, and a real finish line before math starts to feel too big.

Math & Patterns · May 24, 2026 · 3 min