Two small activities to try with a child

1. Shall we make something?

Let’s make a tiny picture-song.

You can draw, point, make a quiet sound, or just watch with me.

Teacher notes. “Would you like a picture or a song first? You can use either language, ask for help, or stop. We can just play instead.” Check comfort, safe large materials and willingness. A pause needs no explanation.

Adult key. There is no correct choice here. “Not now” is a complete exit.

Another way. The child can point, nod, hum, tap the table or hold a paper card. Spanish, mixed language, signs and pointing are all welcome.

2. Make our picture-song

Here are three picture cards.

Draw something on a paper card, or choose how we arrange them. Then make one gentle tap or gesture for each card.

Teacher notes. “I will touch each card once. One, two, three: three altogether. Would you like to make the picture-song your way?” Model first when it helps. Sound stays off unless you turn it on; a silent gesture works just as well.

Adult key. The cards on screen: three. If your paper set has a different number, count that set; this key is only for the screen.

Another way. Use three real paper cards on the table. The child can touch each one, or guide your hand to it while you count aloud.

3. A helper can be right

Our pretend helper says: “There are three picture cards here.”

What could help us check?

Teacher notes. “I prepared this helper’s sentence. It isn’t a live AI. Let’s look at each card once.” Accept pointing, speech, a communication aid or a count you do together.

Adult key. Supported here: the three cards we can see support the sentence. Accepting correct help matters too; the lesson is not that every helper is wrong.

Another way. Line up three real objects beside the screen and touch each one as you say the numbers.

4. A helper can make a mistake

Now the pretend helper says: “There are four picture cards here.”

Let’s check the idea, not judge the helper or you.

Teacher notes. “Do we have a card for each number we say? I can help you check.” Match each of the three cards to one place. If the child says four, model the count kindly, with no repeated guessing.

Adult key. Contradicted here: the cards show three, not four. The repair is the corrected count, not an apology alone. Art choices stay free.

Another way. Put one counter under each card. Three counters, one for each card, show the count without words.

5. Sometimes we cannot tell yet

“There are two blocks inside this bag,” says the pretend helper.

We haven’t looked inside. What do we know so far?

Teacher notes. “Guessing two is different from seeing two. We can ask to check, or leave it unknown.” Not every unknown needs checking right away.

Adult key. Before looking, the sentence is not resolved yet, not false. If you open it, the drawing shows exactly two blocks. That is new evidence; the earlier “we don’t know” was not a mistake.

Another way. Use a real cloth bag with two large blocks. Feel the bag together before opening it, or leave it closed.

6. What helped? Another day…

We can make something, check a sentence, correct a count, or ask for more evidence.

Did anything become clearer? You can tell me, show me, or skip this question.

Teacher notes. “What helped us check?” Listen without asking for a grown-up explanation. A smile or a click is not an understanding moment, and no words are written for the child.

Adult key. For the adult preview of another day: two leaves. Do not show this key just before a real later attempt.

Another way. Show with objects: the child can line up toys, point, or draw what helped.

1. A guide someone can use

Imagine a small art workshop. There are 3 tables. Each table will hold 4 paper creations. Let’s prepare a guide for arranging them, and check what a helper says.

You can point, draw, count with counters or explain it. There is no race. Would you like to try, watch with an adult, or leave it for later?

Teacher notes. Confirm the learner wants to join, that access is comfortable and that counting is familiar. Prepare twelve large safe counters or paper marks if useful. There is no need to record the invitation. If help is needed, teach.

Adult key. “I’d rather watch” is a demonstration route, never evidence of independent learning. “Not now” returns to both activities with no mark of any kind.

Another way. The learner can answer by pointing, with counters on the table, by drawing or by saying it aloud.

2. Look at the groups. Make your first plan

Table 1: 4 creations. Table 2: 4 creations. Table 3: 4 creations.

How many will there be in total? Show me how you check.

Teacher notes. Read the prompt aloud if needed. If multiplication is unfamiliar, use repeated addition, counters or an adult model, and keep that help visible. Choosing a phrase is not the same as producing an explanation.

Adult key. 4 + 4 + 4 = 12. Accept 3 × 4 or 4 × 3 with a correct explanation; do not penalize notation. An empty answer means not answered, not zero and not wrong.

Another way. Place twelve counters in three groups of four and count by touching each one.

3. Don’t pick by confidence: check

These three helpers might be right, be mistaken, or need more information. Use the tables to decide. You don’t have to agree with a helper.

Teacher notes. Show one claim at a time. If a choice differs from the key: “Let’s look at the missing fact or the arithmetic. You can change your answer.” Never “you failed.” “I don’t know yet” opens a check or an adult explanation, with no negative score.

Adult key. A: supported by these facts. B: does not match; 3 + 4 really is 7, but it mixes tables with creations per table. C: information is missing; no prices were given, and a missing price is not zero.

Another way. Check each claim with the counters: group, count, or ask for the missing fact.

4. Direct the helper and make your card

Your mission is a plan another person can follow. Choose a way to show it: groups with drawings, or a list by table. Then review the card.

Teacher notes. Both forms keep the same facts, the source and what is missing. Do not overwrite the draft as if it were the learner’s correction: present the suggestion and let them adopt it on purpose. If they never chose seven, do not invent a history of that mistake.

Adult key. Corrected card: 4 creations on each of the 3 tables; checked total 12; cost of materials still unknown.

Another way. The learner can dictate the card, draw it on paper or build it with counters and labels.

5. Use it and see if it works

With your card, a person can place counters or drawings in three groups of four. Are the instructions enough? Can you tell what is known from what is missing?

Teacher notes. Look at the real arrangement and ask what was unclear. Record use only if it was observed or reported, and say which. Generating, liking, accepting and using the card are different states.

Adult key. This is not evidence that the learner has mastered multiplication. “Not used yet”, “simulated use” and “observed real use” are different states.

Another way. Try the card with counters beside a willing person, or view the on-screen example, marked as simulated.

6. Come back with a new question

Today we made a plan, checked a helper and left a price pending. Would you like to finish, try another question now, or agree with your teacher on a return another day?

Teacher notes. There is no automatic reminder. “Now” is more practice, never later retention. A future return stays “Not yet observed” until it really happens.

Adult key. 5 + 5 + 5 = 15 pots. Eight is not the total for these equal groups, even though 3 + 5 = 8 is correct addition. The total price stays unknown.

Another way. Use fifteen counters on three paper trays, or draw the trays.