Oscillations and waves are where a confident vocabulary does the most damage. A student can recite v = fλ, read values off a wave graph, and pass a procedural test while still believing a wider swing takes longer, the rope travels with the pulse, or a standing wave drifts slowly along the string. Two self-contained forms that map the exact misconceptions your students carry across simple harmonic motion and the wave model. Heatmap delivered within 48 hours of class completion.
The misconceptions that matter here are conceptual, not computational: a period read as depending on the amplitude, a wave imagined to carry its medium along, a standing wave seen as a slow travelling one, a printed figure trusted past the point of physical sense. None reliably produces a wrong number on routine problems — and all produce wrong physics the moment a question probes the concept behind the formula. These patterns appear across IB, AP, A-Level, and GCSE classrooms.
A pendulum is pulled to a larger angle and released. Many students expect a longer period — a bigger swing should take more time. But for small swings the period depends only on the length and g; the amplitude does not enter it at all, and pulling further changes the period only by leaving the small-angle regime, never through the size of the swing as such. Reading the period as a property of the motion’s size, rather than of the system, is the foundational oscillations misconception.
A pulse runs down a long rope. Asked what travels, many students send the rope along with it — the material itself moving from one end to the other. But a wave moves the disturbance and its energy through the medium while each part of the medium oscillates in place and returns. The same misreading makes propagation look instantaneous, when the speed is large but finite, and lets a printed pressure curve dip below zero, when an absolute pressure cannot. What travels is the pattern, not the stuff.
A string driven at resonance shows a standing-wave pattern. Many students read it as a travelling wave moving slowly enough to watch — or picture the nodes themselves drifting along. But a standing wave is the superposition of two equal-and-opposite travelling waves: its nodes and antinodes hold fixed positions, and the pattern does not propagate at all. The nodes stay fixed at zero while the points between them oscillate — and that, not the motion of any single point, is what distinguishes a standing wave from a travelling one.
Two textbook figures: a sound wave whose pressure curve dips below zero, and a pulse reflecting off a clamped end while staying upright. Each is physically impossible — an absolute pressure cannot go negative, and a fixed-end reflection must invert — yet many students accept both, because the figure is printed and looks authoritative. The diagnostic tracks this representational-trust failure as a cross-cutting lens that fires only when both impossible figures are accepted in the same sitting, surfaced where it does the most damage.
Oscillations and Waves cover the conceptual surface of the upper-secondary oscillations-and-waves curriculum. Each runs in a single sitting and produces its own self-contained heatmap, cohort summary, and remediation toolkit. Simple harmonic motion underpins the wave content, so running Oscillations first is the natural default — but each form stands on its own. Pick the one that fits where your students are right now, or run both for the complete picture.
The foundational oscillations layer. Surfaces what sets the period, the role of the velocity’s sign in phase, the quarter-cycle kinematics, the small-angle boundary, and steady-state driven oscillation.
Covers the period as a property of the system not the amplitude, pendulum-mass independence and the vertical-spring equilibrium shift, phase and the sign of the velocity, the quarter-cycle relationship between velocity and acceleration, the small-angle boundary beyond which a pendulum is anharmonic, and driven oscillation and resonance. Six misconception bands OSC-1A through RES.
The wave layer. Surfaces what actually travels in a wave, wave speed as a property of the medium, superposition, standing waves that do not move, reflection, energy, and the Doppler shift — plus a cross-cutting representational-trust lens.
Covers wave nature and finite speed, transverse vs longitudinal, snapshot vs history, wave speed set by the medium, sound and superposition, standing waves and quantised modes, fixed- and free-end reflection, the open-end boundary, energy as amplitude squared, and the Doppler shift. Thirteen misconception bands plus the L-CRIT representational-trust lens.
Within 48 hours of your class completing a form, we send you a complete misconception analysis — actionable, teacher-readable, and ready to use in your next lesson. Each form you run produces its own self-contained set.
Colour-coded class heatmap showing performance by question and by student performance band (A–D). Items grouped by misconception band so cluster patterns become visible at a glance. Each form is scored against its own total.
Teacher-readable summary: which misconception bands hit hardest, what they mean, the L-CRIT representational-trust readout on the Waves form, and how your class distributes across performance bands.
Mistake Museum, Words That Hurt language guide, per-form Remediation Worksheets — an Oscillations worksheet across the six oscillation bands and a Waves worksheet across the thirteen wave bands plus the lens — and a Teacher Key, keyed to the bands your class actually flagged.
What each performance band (A–D) means for your students, with specific teacher action items — from “structurally sound” to “needs foundational rebuilding.”
| Misconception band | Status | Confirmed | Provisional | Clear |
|---|---|---|---|---|
| WN-1 — Wave nature; finite speed | MAJOR | 46% (11/24) | 25% (6/24) | 29% (7/24) |
| WN-2 — Transverse vs longitudinal | WATCHLIST | 17% (4/24) | 46% (11/24) | 38% (9/24) |
| WN-3 — Snapshot vs history | MODERATE | 21% (5/24) | 38% (9/24) | 42% (10/24) |
| WS-1 — Wave speed set by the medium | MODERATE | 25% (6/24) | 38% (9/24) | 38% (9/24) |
| SND — Sound: pitch & medium | CLEAR | 8% (2/24) | 17% (4/24) | 75% (18/24) |
| SUP — Superposition; beats | WATCHLIST | 17% (4/24) | 42% (10/24) | 42% (10/24) |
| STW-1 — Standing waves do not travel | MAJOR | 42% (10/24) | 29% (7/24) | 29% (7/24) |
| STW-2 — Nodes are always-zero fixed | MODERATE | 33% (8/24) | 33% (8/24) | 33% (8/24) |
| STW-3 — Quantised modes | MODERATE | 25% (6/24) | 33% (8/24) | 42% (10/24) |
| REF — Reflection: fixed inverts, free upright | WATCHLIST | 17% (4/24) | 46% (11/24) | 38% (9/24) |
| TUBE — Open-end boundary † | MODERATE | — | 42% (10/24) | 58% (14/24) |
| NRG — Energy scales as amplitude² † | MODERATE | — | 46% (11/24) | 54% (13/24) |
| DOP — The Doppler shift † | CLEAR | — | 33% (8/24) | 67% (16/24) |
L-CRIT (accept-the-impossible representation): 25% (6/24) of submissions accepted both the below-zero pressure curve and the upright fixed-end reflection in the same sitting — reported as a cohort percentage, never as a band. † Single-item bands are capped at provisional by design and read as directional, lower-confidence signals.
I carried out a pilot test of the Physics Misconceptions Diagnostics with my Grade 11 (lower 6th) International Baccalaureate classes, as part of their revision for end of year exams. The tests covered Motion Foundations, Forces and Free-Body Diagrams - topics that are fundamental to the IB course as well as A’ level courses.
The tests were all set up by FundaFirst - all I had to do was point the students to web links. The students found the questions easy to access and to carry out. The information that came back from FundaFirst was incredibly useful, identifying areas where the class and/or individuals were weaker. These areas would have been much harder to identify without the tests. FundaFirst then provided concrete examples of how to address the misconceptions, with work sheets targeting these areas.
I will not hesitate to use FundaFirst’s diagnostic testing with future cohorts!
Fill in the form below. The Projectile & Circular diagnostic suits classes finishing or revising projectile motion and circular motion — the two-dimensional block that sits across kinematics and forces.
→You receive a class-specific diagnostic link and a short setup message you can paste directly to your students. No student logins needed.
→Share the link. The diagnostic takes about 25–30 minutes (24 questions, no calculator required, single sitting). In-class or take-home.
→Class heatmap, cohort summary, band profiles, and remediation toolkit emailed to you within 48 hours of class completion.
Share your details below and we'll set up the diagnostic link within 24 hours. No commitment — this is a free pilot designed for teacher use and classroom feedback.
The diagnostic is grounded in physics education research, including the work of Knight, Moore, Chabay & Sherwood, and Arons. Our physics content has previously been licensed by Cengage.
The Oscillations & Waves diagnostic is strongest after the FundaFirst kinematics and forces work — the wave-speed and standing-wave reasoning leans on the vocabulary of speed, force, and graph-reading the earlier diagnostics build. Each form runs cleanly on its own too. Five sister diagnostics are also available — Motion, Newton's Laws, Energy, Momentum, and Projectile & Circular — same format, same 48-hour turnaround.
View the Motion Diagnostic → View the Newton's Laws Diagnostic → View the Energy Diagnostic → View the Momentum Diagnostic → View the Projectile & Circular Diagnostic →