Notice the math, not just the finished object

Private parent observation sheet · Any readiness band

Project: __________________________ Date (optional): ____________

One math idea we chose: __________________________________

What the learner showed or said before help:

What happened next? Circle one for each attempt: modeled together / with a prompt / independently / not tried. Record the actual example—not a grade.

Access supports used: read aloud / pointing / parent writing / visible steps / calculator / other: __________________

Next time: keep this support / use fewer objects / model again / try a new example / pause. Specific next step:

Physical PILOT notes: preparation/build time actually observed, materials, unclear directions, fit or stability problems and reason for stopping:

Example note: “Counted four cards after I moved the first one; said four altogether. Next time try three without my model.” This describes one observation, not a learning gain, diagnosis or mastery result. Do not remove access supports to make an attempt look independent; note any math hints separately.

Keep this sheet at home; no child name, photo, account or upload needed. Original editorial tool informed by Frye et al. (2013), recommendation 3 (minimal evidence, ages 3–6). Use at other ages is an adaptation, not validation. Evidence and limitations.

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Turn a note into one next step

Parent decision guide · Not a placement test

Choose one idea. Invite an explanation by speaking, pointing, drawing or arranging. Keep access supports; record math hints separately. If the task is frustrating, pause or simplify. The examples below are invented teaching illustrations—not observations of real learners.

Count one object once · Often 5–7

Notice: a learner touches one of four paper cards twice and says five. Model: move each card into a counted row, saying one number per card; four cards means four altogether. Next: offer three cards in a new arrangement. Answer: 3. Record whether your movement cue was needed, not “cannot count.”

Measure the interval · Often 8–10

Notice: a strip starts at 2 cm and ends at 9 cm; the learner says 9 cm long. Model: count the seven 1 cm spaces, then connect them to 9 − 2 = 7 cm. Next: draw a segment from 3 cm to 8 cm. Answer: 5 cm. A parent may draw or hold the ruler; that is different from giving the subtraction.

Separate area from volume · Often 11–13

Notice: a 4 cm × 3 cm base is described as 12 cm³. Model: its area is 12 cm²; an ideal prism 2 cm high has volume 12 cm² × 2 cm = 24 cm³. Next: keep the base and change the height to 3 cm. Answers: area still 12 cm²; volume 36 cm³. These are geometric calculations, not tested container capacities.

Check a scale direction · Often 14–18

Notice: at 1:10 drawing-to-real scale, a learner multiplies a real 60 cm length by 10. Model: 1 cm on paper represents 10 cm real, so 60 ÷ 10 = 6 cm on paper; check 6 × 10 = 60. Next: a real 90 cm length becomes 9 cm. Allow a calculator when scale reasoning, not arithmetic, is the goal.

Return later: try a different example with the same access supports. Note what was explained before math hints. One correct answer, a finished object or a harder example does not establish mastery or a learning gain.

Selected-source basis: Frye, Baroody, Burchinal, Carver, Jordan & McDowell (November 2013), Teaching Math to Young Children, NCEE 2014-4005, recommendation 3, pp. 36–41: observe, record and adjust instruction; minimal evidence, school settings, ages 3–6. This is an original parent adaptation, not a systematic review. Age 7 and older examples are editorial extensions, not evidence of effectiveness at those ages or for dyscalculia. This sheet neither diagnoses difficulties nor replaces professional assessment.

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