{"schemaVersion":1,"record":{"key":"mechanic/education--family-17","type":"mechanic","id":"education--family-17","lang":"en","title":"Quantity and number relationships","summary":"The learner works with quantity, order and numerical relationships by counting, comparing and finding equivalent groups.","updatedAt":"2026-10-22","status":"active","url":"https://gamemechanics.pro/en/knowledge/mechanic/education--family-17/","jsonUrl":"https://gamemechanics.pro/api/v1/knowledge/en/mechanic/education--family-17.json","markdownUrl":"https://gamemechanics.pro/content/knowledge/en/mechanic/education--family-17.md","aliases":[],"tags":["Educational games","Quantity, investigation and systems"],"sourceIds":["source-19446e425a9a00b3","source-5b737ba9e639da22"],"sources":[{"id":"source-19446e425a9a00b3","title":"2048","url":"https://github.com/gabrielecirulli/2048","verifiedAt":null},{"id":"source-5b737ba9e639da22","title":"2048","url":"https://play2048.co/","verifiedAt":null}],"sections":[{"id":"principle","title":"How it works","body":"Count objects individually"},{"id":"variants","title":"Variants","body":"### Variants\n\n<a id=\"family-17-branch-1\"></a>\n\n- Count objects individually <a id=\"family-17-variant-1\"></a>\n- Count groups <a id=\"family-17-variant-2\"></a>\n- Recognize small quantities without counting <a id=\"family-17-variant-3\"></a>\n- Establish one-to-one correspondence <a id=\"family-17-variant-4\"></a>\n- Count out a required quantity <a id=\"family-17-variant-5\"></a>\n- Compare sets <a id=\"family-17-variant-6\"></a>\n- Find number compositions <a id=\"family-17-variant-7\"></a>\n- Move along a number line <a id=\"family-17-variant-8\"></a>\n- Work with place value <a id=\"family-17-variant-9\"></a>\n- Represent fractions <a id=\"family-17-variant-10\"></a>\n- Relate fractions, decimals and percentages <a id=\"family-17-variant-11\"></a>\n- Work with negative numbers <a id=\"family-17-variant-12\"></a>"},{"id":"example","title":"Design example","body":"Give each character one item and identify the remainder."},{"id":"context","title":"Context and limits","body":"A mechanic map for games with explicit learning goals, from first encounters with a topic to professional practice. It covers children, teenagers and adults; choose subject, difficulty, context and controls for the learner. Player actions, subject content, instructional support and assessment are distinct layers. Scores and game completion alone do not establish mastery or skill transfer."}],"relations":[],"placements":[{"catalogId":"education","id":"family-17","title":"Educational games","url":"https://gamemechanics.pro/en/mechanics/education/#family-17","categoryIds":["systems"]}],"supersededBy":[],"attributes":{"preview":{"updatedAt":"2026-10-22","title":"Quantity and number relationships","description":"The learner works with quantity, order and numerical relationships by counting, comparing and finding equivalent groups.","image":{"src":"images/mechanics/systems-2048-original.webp","width":500,"height":694,"game":"2048","sourceUrl":"https://github.com/gabrielecirulli/2048","originalUrl":"https://github.com/gabrielecirulli/2048/blob/master/index.html","credit":"Gabriele Cirulli; screenshot of the unmodified original game, captured 2026-10-22","rights":"© 2014 Gabriele Cirulli, MIT License. Screenshot converted to WebP on 2026-10-22. License copy: images/mechanics/2048-license.txt.","caption":"The original 2048 after a sequence of normal moves","alt":"The original 2048 after a sequence of normal moves","markers":[{"x":86,"y":55,"label":"Adjacent twos can be merged into a four"}]},"tips":["Link number symbols to observable quantities or transformations."],"examples":[{"title":"2048","url":"https://play2048.co/"},{"title":"Original source","url":"https://github.com/gabrielecirulli/2048"}]}},"endsAt":null,"provenance":"Educational reference expanded from all 64 families and 749 variants of the original children-education taxonomy, with original editorial additions dated 2026-10-20. Sources support specific methods and examples, not the entire classification or its effectiveness.","license":"CC-BY-4.0","codeLicense":"MIT","attribution":"gamemechanics.pro contributors","catalogKey":"catalog/education"}}