From an encountered difference to a physical explanation
Choose a short interval whose beginning, changes and end can be recovered. Before giving the explanation, ask the participant to describe, sketch or enact the difference they noticed. This gives the teacher something to work with: the learner may distinguish the event through gesture while not yet possessing its disciplinary vocabulary. HCD.6.1 supplies development of a needed perceptual distinction; it does not require treating a guessed term as understanding.
Next formulate a physical question about that interval. Identify the body or collection being modeled, the reference frame, relevant phase and contacts. Draw only the forces acting on that system in a free-body diagram. Put interactions with the floor, a partner or a support into the model when they matter. A drawing of one instant does not determine the body’s velocity. PHY.6 connects the chosen physical relations, constitutive assumptions and preparation to the result being sought.
Make a discriminating prediction. If two accounts predict the same observation, that observation cannot choose between them. Connect the predicted quantity to what the instrument or recording actually supplies. A force plate reports contact force; a video supplies image positions at recorded times, from which suitably qualified kinematics may be estimated. Neither measures the performer’s experience. Compare alternative ways of obtaining the needed quantity by their assumptions, resolution, accessibility and effect on the movement. Use PHY.9 for measurement construction and PHY.10 for a discriminating experiment, rather than treating a sketch of an apparatus as a completed observation.
Return the result in the form needed by the participant. Explain which account survives, under what conditions, what remains unresolved and which change would matter. A technician may need to change a particular contact material; a choreographer may need to alter a timing demand; a learner may need a contrasting instance that separates speed from acceleration. If the observation disagrees with the prediction, inspect the phase, contacts, recorded quantity and assumptions before attributing the difference to poor movement. A bodily report that differs from the prediction can reveal a different question rather than a failed law.
Constructed teaching case: downward motion and support force. A class examines a prepared, idealized vertical center-of-mass trace for a 60 kg person, initially at rest. The feet remain in contact with a horizontal force plate; there is no other support. Up is positive, g = 9.8 m/s², and air resistance is neglected. The trace is a mathematical teaching object, not measured data or a requested bodily maneuver. Its three consecutive phases are:
| Phase | Duration | Vertical acceleration | Velocity, beginning → end | Vertical displacement | Predicted upward plate force N |
|---|---|---|---|---|---|
| Begin descent | 0.25 s | −0.4 m/s² | 0 → −0.1 m/s | −0.0125 m | 564 N |
| Continue descent | 0.25 s | 0 | −0.1 → −0.1 m/s | −0.025 m | 588 N |
| Finish descent | 0.25 s | +0.4 m/s² | −0.1 → 0 m/s | −0.0125 m | 612 N |
The balance N − mg = ma_y gives each force. Integrating each constant acceleration over its phase gives the velocities and displacements; the trace descends 0.05 m in 0.75 s and ends at rest. Idealized changes of acceleration at the phase boundaries stand for transitions that a real observation must resolve. The table makes a particular distinction available: downward velocity occurs with negative, zero and positive acceleration. “Moving down” alone cannot select a plate force.
Ask learners to predict which phase has N greater than body weight, then let them explain by arrows, the trace, gestures or equations. A claim that all three forces are smaller because all three phases descend identifies the distinction to work on. Compare the middle and last phases: both are downward, but one maintains speed and the other loses downward speed. Revisit the learner’s explanation after that contrast. Correctly labeling this table supports recognition in this prepared case; ask for a differently ordered or upward-moving case before claiming a wider distinction. Reproducing a phrase remains a separate capability question.
Now add an upward handrail force R during the last phase while retaining the same center-of-mass trace. The relation becomes N + R − mg = ma_y. If R = 30 N, the model predicts an upward plate force of 582 N, although acceleration is still upward. A learner who equates N below mg with downward acceleration would now fail. Retain the force balance and change the contact account. If R is not known, the plate alone cannot establish acceleration; obtain the missing force or qualified kinematics, or keep the result conditional. Removing the rail to rescue the simpler explanation would change the support arrangement and is not required by this inquiry.
This example returns a usable explanation and a discriminating changed condition. It does not establish an effective teaching intervention, a person’s balance or safe technique. For actual movement learning, use a teacher-supplied suitable task, SOM’s contrasts and HCD’s observation and feedback. Keep scientific understanding, bodily regulation and the resulting performance separately observable.