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Lionel Smets

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Luxembourg, Luxembourg, Luxembourg

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Preview of 5. Least Common Multiple — Exploration-based Discovery

5. Least Common Multiple — Exploration-based Discovery

Created by
Lionel Smets
Poker cards help students visualize first divisors, and then multiples, as well as their structure as combinations of prime factors. They identify and analyze multiples in common, and "What numbers have 15 & 6 as divisors" is linked to "What multiples do 15 and 6 have in common". Then we gradually explore thisi idea with higher numbers. And in that extended view, the Least Common Multiple simply stands out.
Preview of 4. Greatest Common Divisor — Exploration-based Discovery

4. Greatest Common Divisor — Exploration-based Discovery

Created by
Lionel Smets
Poker cards help students visualize divisors and their structure as combinations of prime factors. They identify and analyze divisors in common, and in that extended view, the Greatest Common Divisor simply stands out.
Preview of 3. Divisor Tree Diagram — Exploration-based Discovery

3. Divisor Tree Diagram — Exploration-based Discovery

Created by
Lionel Smets
By manipulating poker cards, students observe for themselves that the divisors of a number are all the possible combinations of its prime factors. This exploration is then formalized using divisor tree diagrams, which make the structure of the number explicit and organized.
Preview of 2. Prime Factorization Method — Exploration-based Discovery

2. Prime Factorization Method — Exploration-based Discovery

Created by
Lionel Smets
By representing a number like 45 with poker cards (3, 3, and 5), students no longer see it as a single opaque value. They immediately see it as fixed set prime factors they reveal one by one. This makes the structure of the number visible: dividing is no longer a rule to apply, but a process that unfolds logically from what is already there.
Preview of Prime Numbers — Exploration-based Discovery

Prime Numbers — Exploration-based Discovery

Created by
Lionel Smets
Students discover prime numbers by exploring factorization using poker cards. Instead of seeing numbers as single opaque values, students interact with them as structured objects made of components with clear identities, that can be combined, separated, and reorganized. Allow time for slow exploration and productive struggle.
Preview of The Conquerors (Sauce Game)

The Conquerors (Sauce Game)

Created by
Lionel Smets
This is a Sauce Game: it is designed to be combined with poker cards and a calculator — or with my free Neutral Math Flashcards (available for free in my TPT store, organized by chapter, with answers on the back), or any other flashcards you want to work with. Light on didactics — all the design focus is on fun.
Preview of Area — Exploration-based Discovery

Area — Exploration-based Discovery

Created by
Lionel Smets
We omit inches and square inches at first and explore the concept of area through (Lego) squares, establishing them as the foundational area unit. Students reason about area by counting, decomposing, and rearranging squares, allowing area formulas to emerge as natural compressions of their thinking, rather than rules to memorize. Standard units and ruler-based measurement are introduced only after this conceptual structure is secure. Duration: ~3 class sessions
Preview of Neutral Math Flashcards - Distributivity & Algebraic Expressions (Sauce Games)

Neutral Math Flashcards - Distributivity & Algebraic Expressions (Sauce Games)

Created by
Lionel Smets
These Math Cards are a designer tool to combine with any "Sauce Game". They are designed for automaticity and revision, with corrections on the back of each card. Use any of my decks with your own activity, or my Sauce Games on my TPT. Be mindful of dead time. Sellers are welcome to link these free flashcard decks as an optional complement to their own activities. Distributivity is introduced as repeated addition of the expression inside the parentheses, helping students build strong proc
Preview of Santa’s Workshop – Christmas Math Board Game (Sauce Game)

Santa’s Workshop – Christmas Math Board Game (Sauce Game)

Created by
Lionel Smets
A fun Christmas math board game for the holidays where students move, collect gifts, activate traps, and solve math cards — designed for automaticity and revision. This is a Sauce Game, so it's combined with poker cards and a calculator — or with my free Neutral Math Flashcards available in my TPT store (organized by chapter, with the corrections on the backs), or any other flashcards you want to work with. Order of Operations with Exponents already available, more will come at some point. Be
Preview of Neutral Math Flashcards - Order of Operations with Exponents (for Sauce Games)

Neutral Math Flashcards - Order of Operations with Exponents (for Sauce Games)

Created by
Lionel Smets
These Math Cards are a designer tool to combine with any "Sauce Game". They are designed for automaticity and revision, with corrections on the back of each card. Use any of my decks with your own activity, or my Sauce Games on my TPT. Be mindful of dead time. Sellers are welcome to link these free flashcard decks as an optional complement to their own activities. The corrections deliberately invest in a specific idea to strengthen understanding, and procedural memory: we invented the symbol ×
Preview of Multiplication Tables Exploration – Discovery, Practice & Revision (Free)

Multiplication Tables Exploration – Discovery, Practice & Revision (Free)

Created by
Lionel Smets
Research aligned;Exploration-based discovery • Mathematics-driven game-play • Fun • Autonomous student work • Conceptual understanding • Visual representation of the internal dynamics of the multiplication tables, through spatial reasoning, direct work on the tables themselves, and the relational link between both. • Print & Play • Agency • Creative Ownership • Cozy atmosphere • Emotional safety • Curiosity-driven learning • Insight creation. ESL-friendly • Emergence of the need for mathematics
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