The Study Habit Hiding in Plain Sight

Most students study math in one of two ways:

1. Read and re-read the notes, formulas, and worked examples.
2. Drill problems until the steps feel automatic.

Both have value. Both also leave memory on the table. If you only encode an idea as words — “to find the area of a triangle, multiply half the base by the height” — your brain stores it in one place. If your revision is pure pattern-drilling without a mental picture, the same thing happens from the opposite side: moves without meaning.

Dual coding is the deliberate habit of pairing words with pictures so the same idea lives in two different parts of memory at once. Two encodings. Two retrieval paths. One exam question, two chances to remember.

What Dual Coding Actually Is

In 1971, cognitive psychologist Allan Paivio proposed that the human brain processes information through two separate but connected channels:

• A verbal channel — words, sentences, definitions.
• A visual channel — pictures, diagrams, spatial layouts.

When you encode a concept in both channels, you create two memory traces that point to the same idea. Decades of replication studies show the same result: material learned with dual coding is remembered significantly better than the same material learned with words alone or pictures alone.

This is NOT the old “visual learner vs. verbal learner” myth. Research has thoroughly debunked the idea that people learn better when taught in their “preferred” style. What actually helps everyone is combining channels. You are not a visual learner. You are a human, and humans remember words + pictures better than words alone.

Why It’s Built for Singapore Math

Here is the bit most students miss: Singapore Math was designed around dual coding, even though MOE calls it something else.

The Concrete-Pictorial-Abstract (CPA) approach — introduced in Singapore primary classrooms decades ago — walks every student through three stages:

1. Concrete: handle physical objects (counters, blocks, fraction tiles).
2. Pictorial: draw what you just did (bar models, number lines, part-whole diagrams).
3. Abstract: write the symbolic equation or formula.

That pictorial middle step is dual coding, and it’s the reason the bar model is the single most powerful tool in the PSLE toolkit. When you draw a bar model, you are translating a verbal word problem into a spatial picture. When you solve it, your brain uses both encodings to find the answer. Strip the picture away and the same problem feels twice as hard — that’s what happens on O-Level papers where diagrams stop being given to you.

The takeaway: if you are studying Singapore Math, you already have half the dual coding habit built in. The trick is to use it deliberately for every topic, not just ratios.

The 4-Step Dual Coding Method

This is the exact routine to run when you are learning a new concept or revising an old one. It takes about 5 to 8 minutes per concept.

Step 1 — Write the idea in your own words

Close your notes. From memory, write the concept in one or two sentences the way you would explain it to a younger sibling. Do not copy from the textbook. The goal is to force verbal retrieval.

Step 2 — Draw a picture of the same idea

Under your sentence, sketch a diagram that shows the same idea. Rough is fine. Stick figures are fine. You are not making art — you are making a memory anchor. The important thing is that you create the drawing, not copy one.

Step 3 — Label and link

Add labels, arrows, colors, numbers, units — whatever connects the drawing to the words. Every key term in your sentence should appear somewhere on the diagram. This is the step that locks the two channels together.

Step 4 — Teach-back from the picture only

Cover the words with your hand. Look only at the picture and re-explain the concept out loud. If you stumble, the picture is not rich enough. Add a label, redraw, try again.

Three Worked Examples

Example 1 — P6 Ratio Word Problem

Notice what just happened: the verbal setup and the bar model are telling the same story from two different angles. When you see a similar problem in three weeks, your brain can retrieve it via the sentence OR via the picture. That’s the dual path.

Example 2 — S2 Linear Equation

       Left pan                 Right pan
  ┌─────────────────┐        ┌────────┐
  │ (x-4) (x-4) (x-4)│   =   │   15   │
  └─────────────────┘        └────────┘
          ═════════ BALANCE ═════════

The balance scale makes why you divide both sides by 3 intuitive — you are splitting a balanced scale into equal portions. Students who dual-code linear equations rarely forget the “do the same to both sides” rule, because the picture makes the rule obvious.

Example 3 — O-Level Trigonometry

            │\
            │ \  ← hypotenuse
 opposite → │  \
            │   \  θ
            └────\
             adjacent

SOH-CAH-TOA is the classic memory trick, but on its own it is pure verbal memory. Pair it with a triangle you drew yourself and the ratios become impossible to forget under exam stress, because the picture comes back with the word.

Five Dual Coding Mistakes

The 10-Minute Daily Dual Coding Drill

Here is a small, time-boxed routine you can run at the end of each study session. Ten minutes, every day, for two weeks, and your revision habits change permanently.

Quick-Reference Card

The Takeaway

Your brain has two memory channels. Most students only use one. Dual coding forces the habit of using both — every concept in words, every concept in a picture, every picture labelled back to the words. It is slow at first, fast later, and it pays compound interest through the PSLE and O-Level years.

Pick one topic from today’s homework. Run the 4-step drill. See what sticks tomorrow. That is the smallest version of the habit — and it’s the only one that matters.