Updated on
October 8, 2026
Semantic Waves: Linking Examples and Subject Knowledge
Use Maton’s semantic waves to connect examples with subject ideas. Keep the two dimensions distinct, with fictional cases and a printable return note.
How can semantic waves help inspect an explanation?
Semantic waves are patterns of unpacking and repacking meaning within Maton’s Legitimation Code Theory. Semantic gravity concerns context dependence; semantic density concerns condensed meaning. They can vary independently. Use the lens to inspect how a particular example connects back to subject meaning. It supplies no fixed lesson sequence or learning guarantee.
A class may remember an example without explaining its idea. Try a return sentence: ask what relationship the case illustrates and where it appears. Then consider a fresh case. This is an authored move to use when it fits, not a compulsory sequence.
In primary Year 5 maths, ask learners why 1/2 and 2/4 show the same value. Use the two equal-width bars below, then ask why 3/5 and 6/10 also match.
Key takeaways
- Keep the example connected to the subject relationship you want to explain.
- Semantic gravity concerns context dependence; semantic density concerns condensed meaning. They are distinct.
- Use the framework to inspect an explanation, without scoring learners or promising an effect.
In this article
What are semantic waves in teaching?
In Karl Maton’s Legitimation Code Theory (LCT), semantic profiles trace changes in the strengths of gravity and density over time. Maton’s original 2013 paper examines wave patterns that unpack meanings and repack them into subject relationships. It concerns the knowledge expressed in a practice, not learner ranks.
Use the lens to inspect what you say. Does the case make the idea clear? Do you connect it back to that idea? Our cases and note are authored aids, not a validated LCT coding tool.
The creator’s LCT overview identifies Semantics as an analytical dimension of the wider framework. It is a creator description, not independent evidence that a lesson routine raises attainment. Keep that evidence role clear.
Keep context dependence and condensed meaning distinct
Semantic gravity (SG) concerns how much meaning depends on its context. A claim about this diagram may need the diagram to make sense. A general subject link can be used beyond it. Stronger gravity means more context dependence, not more difficulty.
Semantic density (SD) concerns how much meaning is condensed within a practice. A subject phrase can bring several connected meanings together. Its length does not establish its density. Nor does a technical word have one fixed density whatever the speaker and context.
| Dimension | Question for the explanation | Avoid this shortcut |
|---|---|---|
| Semantic gravity | How much does this meaning depend on the particular case or context? | Concrete does not automatically mean easy, familiar or low-level. |
| Semantic density | Which connected meanings are condensed in this use of the subject language? | A short phrase or long word is not a density score. |
Maton, 2013, section 3.1, printed page 11. The questions are authored prompts, not formal codes.
The dimensions can vary independently. A context-specific example can still carry connected subject meanings. A more general statement does not automatically show changed condensation. Describe both aspects rather than one “concrete to abstract” level.
For organising relationships between ideas, concept mapping offers a separate tool. A map’s detail or visual complexity does not itself measure either semantic dimension.
Unpack an idea without losing the subject
Unpacking can make a subject expression available through descriptions and cases. Keep its relationship in view. A familiar story can invite discussion yet leave the term unexplained. Which features carry the idea, and which are incidental?
A fraction bar can show equal parts of one whole. Its colour marks chosen parts, but does not explain equal values. The teacher still needs to connect the picture with the relationship.
Learners may use different models or ways to respond. That does not set different semantic levels for them. The focus is the meaning expressed. For prior knowledge, see schema building. Its learning-theory question differs from this lens.
Make the return to the idea visible
Maton contrasts unpacking alone with repacking meaning into subject terms and ideas. The return does more than repeat the term. It draws the links from the case back into a general account, less tied to that case.
| Authored response | What it makes visible | Possible teacher question |
|---|---|---|
| “The shaded lengths match.” | An observation about these two bars. | Which parts of the model explain that match? |
| “Both show half of the same whole.” | The relationship between the bars and the fraction value. | How do the equal parts and chosen parts fit that account? |
| “Multiplying the top and bottom numbers by the same non-zero factor keeps the value.” | A general fraction relationship in this authored task. | How does the picture show that, and what would another case show? |
These are alternative responses to inspect, not ranked learners, required stages or validated LCT codes.
Use a fresh case to inspect the explanation. A successful response now proves no lasting transfer or framework effect. Generative learning explores learner explanation more broadly; our focus is the context-to-subject link.
Fictional Year 5 maths case: equivalent fractions
Authored classroom case. A Year 5 class considers two bars representing the same whole. One has one of two equal parts shaded; the other has two of four equal parts shaded. The teacher wants the class to explain the equivalence, not just recognise matching colours. No real learner work is represented.
Same whole, different equal-part counts
One of two equal parts: 1/2
Two of four equal parts: 2/4
An authored mathematical model, not a semantic-density scale or creator figure. Equal widths show the same whole.
In this part-whole model, the numerator counts chosen parts and the denominator counts equal parts in the whole. The teacher connects the picture with multiplying both counts by two: 1/2 becomes 2/4 without changing the value. The fresh question is whether 3/5 and 6/10 also represent the same value, and why.
| Fictional learner action | Teacher response choice | Link to inspect |
|---|---|---|
| One pair points to the equal shaded lengths. | Invite them to connect each length with the equal-part counts. | Does their account explain the picture rather than only identify a match? |
| Another pair writes the multiplication of both counts by two. | Ask how that change appears in the bars. | Can the symbolic account connect with the representation? |
| A learner says 3/5 and 6/10 are equal. | Ask for a reason using the same factor in both counts. | Can the explanation account for this fresh case? |
Authored response options, not permanent ability groups, observed outcomes or a prescribed progression.
For context dependence, describe the move from these bars to a link usable with other fractions. For condensation, note what “equivalent fractions” brings together here: equal value, a common whole and related part counts. These are human descriptions, not official codes or scores.
Fictional Year 8 science case: a series circuit
Authored classroom case. A Year 8 class uses a simplified battery-and-lamp diagram. The subject idea is a series arrangement with one path through its components. The task concerns the diagram, not building apparatus or testing a real circuit. No recorded lesson or learner response is copied.
One path through the components
BatteryLamp ALamp BReturn to battery
An authored path map, not a wiring instruction or a full circuit symbol diagram. The return completes the pictured loop. It illustrates one series path.
Connect pointing at a lamp with the arrangement. Here, “series circuit” brings together components and their single-path connection. Repeating the term leaves those links implicit. Another drawing provides a fresh case.
| Fictional learner action | Teacher response choice | Link to inspect |
|---|---|---|
| One pair traces the path in the map. | Ask them to describe why it is a single path. | Does their account connect the tracing with the arrangement? |
| Another pair uses “series circuit” without explaining it. | Ask which connection in the model gives the term its meaning here. | Which subject meanings need unpacking? |
| A learner compares another drawing of the same arrangement. | Ask what remains the same despite the changed layout. | Can the account return to the single-path relationship? |
Temporary response choices in an invented case. No learner ranking, circuit-performance promise or classroom effect is claimed.
For the lesson context, see science teaching strategies. For discussing an explanation, see oracy and critical thinking. Neither substitutes for the subject link the teacher is checking.
Build an editable teaching-return note
Keep the subject idea, case and return explanation together. Load a fictional case or edit the descriptions. Use no personal learner data. The note reproduces your entries. It calculates no semantic scores and does not validate LCT coding or establish learning.
One idea, one example, one clear return
A local descriptive planning aid. Entries are not submitted. No semantic scores or learner rankings are produced.
Download the fictional teaching-return note (PDF). The file contains the coherent fraction case, with space for handwritten review.
Find the link that the explanation leaves open
Listen for what the response refers to. Is it still tied to the case? Has the learner repeated a term without its meaning? Ask about the missing link. Neither response sets a fixed learner level. Use a new case to discuss the link.
Revisit the case, clarify a relationship or try another representation. There is no required wave count or timing here. What does the explanation make available, and what remains implicit?
For choosing a model or task, see live modelling and assessment for learning. They serve their own purposes. Finishing a task alone proves no semantic profile or lasting understanding.
A fair concern is that this vocabulary renames familiar teaching. This is an authored objection, not a reported quote. Use the lens where it makes a link clearer. Not every explanation needs a chart or score.
Teacher voices
A dated public opinion about a theory talk, quoted verbatim. It is not a classroom report or research evidence.
@TigWilliamsDated public opinion excerpt
@cs4fn talking about the great semantic waves theory of lesson planning!
23 April 2024 (UTC)Post by @TigWilliams, 23 April 2024 (UTC)
What does the original paper establish?
| Source | What it supports here | Evidence boundary |
|---|---|---|
| Maton, 2013 | The two dimensions, changing profiles and analysis of unpacking and repacking in classroom passages. | Theoretical and observational analysis, not a controlled test of this guide’s cases or note. |
| Creator LCT overview | Framework identity and Semantics as an analytical dimension. | Creator description, not independent evidence of attainment effects. |
One original analytical paper and a related creator overview. No third study or independent replication is invented.
Maton analyses secondary biology and history teaching. The wider project included a later teacher-training phase; this paper focuses on concepts and classroom analysis. It explicitly says modelling waves does not guarantee cumulative learning for all learners. The analytical proposal is not an outcome promise.
Scope and limitations
This guide uses selected original definitions and classroom-analysis passages. The fictional cases, response choices, diagrams and note are our illustrations. They are not original study materials, a formal LCT codebook, a validated coding procedure or a test. No original creator figure, classroom transcript or learner work is reproduced.
Context dependence is not difficulty. Condensation is not word count. Neither dimension ranks learners, school phases or Bloom’s taxonomy verbs. The two dimensions remain distinct even when a particular explanation changes both. The note’s human descriptions leave that judgement with the teacher.
The original paper supplies the definitions used here. An authored fresh-case question checks an explanation in the moment; it does not establish transfer, retention or attainment. For a wider account of learning theories, see constructivism and guided teaching.
Frequently asked questions
Are semantic waves simply concrete to abstract?
That is a limited shorthand. Maton distinguishes context dependence and condensed meaning, which can vary independently.
Does a technical word always have high semantic density?
No fixed word rating is used here. Describe which meanings are condensed in its use within the practice.
Do I need three fixed stages in every lesson?
No. The authored return move is optional. The framework describes varied profiles, not a universal sequence or dose.
Can I score learners with the return note?
No. It records your descriptions and prints them. It produces no numerical semantic score, learner rank or validated coding.
Does a completed wave prove learning?
No. The original paper states that modelling waves does not guarantee cumulative learning for every learner.
Plan one clearer return to the subject idea
Choose an explanation you are preparing. Keep its idea, case and return together in the note. Name the relationship a learner could explain using another case. Then start planning the lesson around that explanation.
References
- Maton, K. (2013). Making semantic waves: A key to cumulative knowledge-building. Linguistics and Education, 24(1), 8–22. DOI: 10.1016/j.linged.2012.11.005. Original author-uploaded text, particularly sections 3.1–3.2, 4.1–4.2 and the limitation before the conclusion.
- Legitimation Code Theory. About LCT. Creator overview, used for framework identity only.
