{"id":45043,"date":"2026-03-31T10:30:01","date_gmt":"2026-03-31T10:30:01","guid":{"rendered":"https:\/\/www.avenor.ro\/blog\/from-algorithms-to-understanding-mathematics-with-meaning\/"},"modified":"2026-03-31T10:30:01","modified_gmt":"2026-03-31T10:30:01","slug":"from-algorithms-to-understanding-mathematics-with-meaning","status":"publish","type":"post","link":"https:\/\/www.avenor.ro\/en\/blog\/from-algorithms-to-understanding-mathematics-with-meaning\/","title":{"rendered":"From Algorithms to Understanding: Mathematics with Meaning"},"content":{"rendered":"

In primary school, mathematics is often seen as a sequence of steps to be followed correctly. Students learn algorithms, but they don\u2019t always understand what they are doing. The difference between knowing how and understanding why can quickly become a barrier. <\/span><\/i><\/p>\n

At the webinar \u201cMathematics with Meaning: Practical Strategies for Developing Thinking in Primary School\u201d, organized by Avenor College as part of the PACT for IMPACT<\/a> <\/i><\/span><\/i>project, 240 teachers explored together how mathematics can become a meaningful learning experience\u2014one that allows children to think critically and apply their knowledge in new contexts.<\/p>\n

We invite you to learn more about Avenor\u2019s approach to teaching mathematics in primary classes from Andreea Popa and Daniela St\u0103varu, primary school teachers and hosts of the event.<\/span><\/i><\/p>\n

The First Signs of Difficulty<\/b><\/p>\n

\u201e<\/span>At the beginning, the confusion isn\u2019t always about mathematics itself, but about how children understand representations and language. In Preg\u0103titoare, writing numbers in mirror image can create confusions like 12\/21. In Grade 1, difficulties arise with shapes and spatial understanding, and in Grade 2, students can struggle with the difference between \u20182 more\u2019 and \u20182 times more.\u2019 If learning remains procedure-focused, these conceptual gaps quickly turn into blockages. This is the moment when many children start saying, \u2018I\u2019m not good at math.\u201d <\/span><\/i><\/p>\n

The blockage doesn\u2019t appear because math is too hard, but because learning becomes associated with pressure and fear of making mistakes,\u201d explains Andreea Popa, primary school teacher.<\/p>\n

Learning Beyond Algorithms<\/b><\/p>\n

One of the key messages of the webinar was clear: students can apply algorithms correctly without understanding what they are doing.
<\/span><\/p>\n

\"\"<\/p>\n

\u201e<\/i><\/b>\u201cA child might calculate 24 \u00d7 6 correctly, but if the problem is framed differently\u2014like \u2018we have 24 objects in 6 groups\u2019\u2014they may not recognize the situation. This shows that learning has been memorized, not transferred. Understanding mathematics means being able to explain your thinking, make connections between ideas, and apply knowledge in new contexts. Mathematics with meaning is not about memorization; it\u2019s about understanding and application\u201d <\/span><\/i>, says Daniela St\u0103varu, primary school teacher.<\/span><\/p>\n

Lessons That Develop Thinking<\/b><\/p>\n

\u201d<\/span>\u201cA mathematics lesson that focuses on thinking changes the role of the teacher. The teacher no longer provides immediate solutions but creates contexts for exploration and asks questions. The first minutes are not about method but about meaning: activating prior knowledge, stimulating thinking, and sparking curiosity. <\/span><\/i><\/p>\n

\"\"<\/p>\n

Simple but powerful questions make the difference. At first, children may feel unsure, but gradually they engage more deeply and become independent learners. In this way, mistakes are no longer failures but opportunities for learning and reflection <\/span><\/i>,\u201d explains Andreea Popa, Primary School Teacher<\/p>\n

The 3C Model: Concept, Competence, Character<\/b><\/p>\n

Another central element discussed during the webinar is the 3C model (Concept, Competence, Character). This approach ensures that students not only know concepts but can also apply them and learn how to learn. The concept is the central idea, competence shows what the student can do with it, and character develops perseverance, courage, and the ability to make mistakes and learn from them.
<\/span><\/p>\n

\u201cMathematics thus becomes a context for developing thinking and self-confidence,\u201d explains Daniela St\u0103varu. Using this model, students learn that the learning process is as important as the final result. <\/span><\/p>\n

How to Recognize Understanding<\/b><\/p>\n

One of the main questions teachers asked during the webinar was how to recognize understanding.<\/span><\/p>\n

From classroom experience, both at Avenor and at Gheorghe Vernescu School\u2014where the Avenor model of teaching mathematics is piloted as part of PACT for IMPACT\u2014understanding becomes visible when a child can explain to another student and be understood, when they compare two different methods, or when they check if an answer makes sense. Even mistakes gain value because they reveal the child\u2019s thought process.<\/span><\/p>\n

\"\"<\/p>\n

Parents can support learning at home by asking questions that encourage reflection: instead of \u201cDid you get it right?\u201d, they can ask, \u201cHow did you think about it?\u201d or \u201cWhy does it work?\u201d\u201d. Providing space for thinking and accepting mistakes is essential for reducing math anxiety.<\/span><\/p>\n

Why Mathematics with Meaning Matters<\/b><\/p>\n

We live in a world where answers are instantly available. What makes the difference is the ability to think, make decisions, and solve new problems. Mathematics with meaning is not about calculation speed; it\u2019s about understanding, making connections, and applying knowledge in new contexts.
<\/span><\/p>\n

After primary school, what remains is not formulas, but thinking, creativity, and the courage to approach problems independently.<\/span><\/p>\n

A Message for Teachers and Parents<\/b><\/p>\n

\u201cChange one question, and you will change the way students think,\u201d was the advice from Avenor teachers to their colleagues attending the webinar. Mathematics with meaning is about understanding, applying, and thinking\u2014not memorization or speed. It\u2019s the kind of mathematics students truly need. <\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

In primary school, mathematics is often seen as a sequence of steps to be followed correctly. Students learn algorithms, but they don\u2019t always understand what they are doing. The difference between knowing how and understanding why can quickly become a barrier. At the webinar \u201cMathematics with Meaning: Practical Strategies for Developing Thinking in Primary School\u201d, […]<\/p>\n","protected":false},"author":44,"featured_media":45031,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[494],"tags":[],"class_list":["post-45043","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pact-pnrr-en-2"],"acf":[],"yoast_head":"\nFrom Algorithms to Understanding: Mathematics with Meaning - Avenor<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.avenor.ro\/en\/blog\/from-algorithms-to-understanding-mathematics-with-meaning\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"From Algorithms to Understanding: Mathematics with Meaning - Avenor\" \/>\n<meta property=\"og:description\" content=\"In primary school, mathematics is often seen as a sequence of steps to be followed correctly. 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