{"id":46267,"date":"2026-06-16T13:02:40","date_gmt":"2026-06-16T13:02:40","guid":{"rendered":"https:\/\/www.avenor.ro\/?p=46267"},"modified":"2026-06-16T13:04:30","modified_gmt":"2026-06-16T13:04:30","slug":"how-children-learn-mathematics-in-primary-school-beyond-the-right-answer","status":"publish","type":"post","link":"https:\/\/www.avenor.ro\/en\/blog\/how-children-learn-mathematics-in-primary-school-beyond-the-right-answer\/","title":{"rendered":"How children learn mathematics in primary school &#8211; beyond the right answer"},"content":{"rendered":"<p><span style=\"font-weight: 400;\"><img fetchpriority=\"high\" decoding=\"async\" class=\" wp-image-46262 alignleft\" src=\"https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Andreea-Popa-Avenor-300x300.png\" alt=\"\" width=\"230\" height=\"230\" srcset=\"https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Andreea-Popa-Avenor-300x300.png 300w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Andreea-Popa-Avenor-1030x1030.png 1030w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Andreea-Popa-Avenor-80x80.png 80w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Andreea-Popa-Avenor-768x768.png 768w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Andreea-Popa-Avenor.png 1080w\" sizes=\"(max-width: 230px) 100vw, 230px\" \/>As a primary school teacher, one of the questions I hear most often in class, during maths lessons, is simple, but very profound: \u201c<\/span><i><span style=\"font-weight: 400;\">Miss, is this correct?<\/span><\/i><span style=\"font-weight: 400;\">\u201d Not \u201c<\/span><i><span style=\"font-weight: 400;\">why is it like this?<\/span><\/i><span style=\"font-weight: 400;\">\u201d, but \u201c<\/span><i><span style=\"font-weight: 400;\">is it correct?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">And from here, in fact, begins the conversation about how children learn mathematics.<\/span><\/p>\n<p><b>When \u201ccorrect\u201d becomes more important than \u201cunderstanding\u201d<\/b><\/p>\n<p><span style=\"font-weight: 400;\">In primary school, especially in the first years, I constantly notice one thing: children very quickly associate mathematics with the idea of a correct answer. They want to know if they did it right, if they ticked it correctly, if they reached the result.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">It is natural. But in this process a risk appears: attention moves from thinking to result.<\/span><\/p>\n<p><b>The difference between knowing and understanding<\/b><\/p>\n<p><span style=\"font-weight: 400;\">I remember a moment in class, when we were working with large numbers. One of my students read without hesitation a six-digit number &#8211; correctly, quickly, confidently.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">But when I asked him: \u201c<\/span><i><span style=\"font-weight: 400;\">Why is it written like this? How do you know the value of each digit?<\/span><\/i><span style=\"font-weight: 400;\">\u201d, there was a pause. He knew how to read the number, but he could not yet explain the structure behind it.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">And then the difference between knowing and understanding becomes very clear.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">This difference is also important for parents, especially in a context where learning is changing. In order for learning to be consolidated in the long term, understanding is needed. That is why I always explain to parents that speed of solving, for example, is not always a sign that the student has truly understood mathematics.<\/span><\/p>\n<p><strong>How a maths lesson works<\/strong><\/p>\n<p><img decoding=\"async\" class=\"wp-image-46263 aligncenter\" src=\"https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-55-300x169.png\" alt=\"\" width=\"660\" height=\"372\" srcset=\"https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-55-300x169.png 300w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-55-1030x579.png 1030w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-55-768x432.png 768w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-55-1536x864.png 1536w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-55-2048x1152.png 2048w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">At Avenor, in classroom practice we look less at the \u201cfinal answer\u201d and more at the process: how the child thinks, how they explain, how they check their ideas. Because, in reality, children will not only need correct calculations. They will need to understand, to make decisions, and to apply reasoning in new contexts.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">That is why lessons do not always start with the \u201crule\u201d. Many times they start with a question:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u201c<\/span><i><span style=\"font-weight: 400;\">Why did people need numbers?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u201c<\/span><i><span style=\"font-weight: 400;\">How would the world look without a common system of measurement?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Such questions give children the opportunity to talk, to ask questions, and to compare answers. In this process, they can discover, for example, old numbering systems and can reach by themselves the conclusion of why these are necessary.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Only afterwards do we formalise and state the rule.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In this way, mathematics is no longer perceived as abstract, but becomes concrete and logical &#8211; because students understand where and why it is useful in real life.<\/span><\/p>\n<p><b>When mathematics becomes useful in decision-making<\/b><\/p>\n<p><img decoding=\"async\" class=\"wp-image-46264 aligncenter\" src=\"https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-57-300x169.png\" alt=\"\" width=\"643\" height=\"362\" srcset=\"https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-57-300x169.png 300w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-57-1030x579.png 1030w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-57-768x432.png 768w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-57-1536x864.png 1536w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-57-2048x1152.png 2048w\" sizes=\"(max-width: 643px) 100vw, 643px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">Another example I often use in class is a module that children love: a \u201cspace mission\u201d.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Students receive a situation: they have limited resources and must decide how to use them in order to complete a mission.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">There is no single correct solution. There is estimation, calculation, argumentation and decision-making.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">I remember a child saying: \u201c<\/span><i><span style=\"font-weight: 400;\">We can complete one more leg of the journey, but we no longer have enough fuel for the return trip.<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">At that moment, mathematics was no longer an abstract exercise to solve in a notebook. Mathematics had become a decision, with real consequences.<\/span><\/p>\n<p><b>The teacher\u2019s role: less \u201chow to do it\u201d, more \u201chow do you think\u201d<\/b><\/p>\n<p><span style=\"font-weight: 400;\">For me, as a teacher at Avenor, these moments are the most important &#8211; when I see how children start to build their own way of thinking: they ask, they explain, they make mistakes, they come back, they try again.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Here comes the role of the teacher &#8211; not to say \u201c<\/span><i><span style=\"font-weight: 400;\">this is how it is done<\/span><\/i><span style=\"font-weight: 400;\">\u201d, but to guide through the right questions, which lead to understanding and, later on, to the acquisition of concepts that would otherwise remain too abstract for a 7- or 9-year-old child.<\/span><\/p>\n<p><b>What happens when children make mistakes<\/b><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-46265 aligncenter\" src=\"https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-58-300x169.png\" alt=\"\" width=\"653\" height=\"368\" srcset=\"https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-58-300x169.png 300w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-58-1030x579.png 1030w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-58-768x432.png 768w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-58-1536x864.png 1536w, https:\/\/www.avenor.ro\/wp-content\/uploads\/2026\/06\/Blog-banners-58-2048x1152.png 2048w\" sizes=\"(max-width: 653px) 100vw, 653px\" \/><\/p>\n<p><span style=\"font-weight: 400;\">I am happy every time a mistake appears.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Because mistakes are essential in the learning process. We do not correct them by simply saying \u201c<\/span><i><span style=\"font-weight: 400;\">it is wrong<\/span><\/i><span style=\"font-weight: 400;\">\u201d, but we use them as a starting point:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u201c<\/span><i><span style=\"font-weight: 400;\">How did you think?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u201c<\/span><i><span style=\"font-weight: 400;\">What would you change?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u201c<\/span><i><span style=\"font-weight: 400;\">Is there another way?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">These questions help us, as teachers, understand the thinking behind the mistake and, at the same time, help children clarify their thinking and avoid repeating the same errors.<\/span><span style=\"font-weight: 400;\">As a primary school teacher, one of the questions I hear most often in class, during maths lessons, is simple, but very profound: \u201c<\/span><i><span style=\"font-weight: 400;\">Miss, is this correct?<\/span><\/i><span style=\"font-weight: 400;\">\u201d Not \u201c<\/span><i><span style=\"font-weight: 400;\">why is it like this?<\/span><\/i><span style=\"font-weight: 400;\">\u201d, but \u201c<\/span><i><span style=\"font-weight: 400;\">is it correct?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">And from here, in fact, begins the conversation about how children learn mathematics.<\/span><\/p>\n<p><b>When \u201ccorrect\u201d becomes more important than \u201cunderstanding\u201d<\/b><\/p>\n<p><span style=\"font-weight: 400;\">In primary school, especially in the first years, I constantly notice one thing: children very quickly associate mathematics with the idea of a correct answer. They want to know if they did it right, if they ticked it correctly, if they reached the result.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">It is natural. But in this process a risk appears: attention moves from thinking to result.<\/span><\/p>\n<p><b>The difference between knowing and understanding<\/b><\/p>\n<p><span style=\"font-weight: 400;\">I remember a moment in class, when we were working with large numbers. One of my students read without hesitation a six-digit number &#8211; correctly, quickly, confidently.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">But when I asked him: \u201c<\/span><i><span style=\"font-weight: 400;\">Why is it written like this? How do you know the value of each digit?<\/span><\/i><span style=\"font-weight: 400;\">\u201d, there was a pause. He knew how to read the number, but he could not yet explain the structure behind it.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">And then the difference between knowing and understanding becomes very clear.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">This difference is also important for parents, especially in a context where learning is changing. In order for learning to be consolidated in the long term, understanding is needed. That is why I always explain to parents that speed of solving, for example, is not always a sign that the student has truly understood mathematics.<\/span><\/p>\n<p><b>What a maths lesson looks like<\/b><\/p>\n<p><span style=\"font-weight: 400;\">At Avenor, in classroom practice we look less at the \u201cfinal answer\u201d and more at the process: how the child thinks, how they explain, how they check their ideas. Because, in reality, children will not only need correct calculations. They will need to understand, to make decisions, and to apply reasoning in new contexts.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">That is why lessons do not always start with the \u201crule\u201d. Many times they start with a question:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u201c<\/span><i><span style=\"font-weight: 400;\">Why did people need numbers?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u201c<\/span><i><span style=\"font-weight: 400;\">How would the world look without a common system of measurement?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Such questions give children the opportunity to talk, to ask questions, and to compare answers. In this process, they can discover, for example, old numbering systems and can reach by themselves the conclusion of why these are necessary.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Only afterwards do we formalise and state the rule.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In this way, mathematics is no longer perceived as abstract, but becomes concrete and logical &#8211; because students understand where and why it is useful in real life.<\/span><\/p>\n<p><b>When mathematics becomes useful in decision-making<\/b><\/p>\n<p><span style=\"font-weight: 400;\">Another example I often use in class is a module that children love: a \u201cspace mission\u201d.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Students receive a situation: they have limited resources and must decide how to use them in order to complete a mission.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">There is no single correct solution. There is estimation, calculation, argumentation and decision-making.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">I remember a child saying: \u201c<\/span><i><span style=\"font-weight: 400;\">We can complete one more leg of the journey, but we no longer have enough fuel for the return trip.<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">At that moment, mathematics was no longer an abstract exercise to solve in a notebook. Mathematics had become a decision, with real consequences.<\/span><\/p>\n<p><b>The teacher\u2019s role: less \u201chow to do it\u201d, more \u201chow do you think\u201d<\/b><\/p>\n<p><span style=\"font-weight: 400;\">For me, as a teacher at Avenor, these moments are the most important &#8211; when I see how children start to build their own way of thinking: they ask, they explain, they make mistakes, they come back, they try again.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Here comes the role of the teacher &#8211; not to say \u201c<\/span><i><span style=\"font-weight: 400;\">this is how it is done<\/span><\/i><span style=\"font-weight: 400;\">\u201d, but to guide through the right questions, which lead to understanding and, later on, to the acquisition of concepts that would otherwise remain too abstract for a 7- or 9-year-old child.<\/span><\/p>\n<p><b>What happens when children make mistakes<\/b><\/p>\n<p><span style=\"font-weight: 400;\">I am happy every time a mistake appears.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Because mistakes are essential in the learning process. We do not correct them by simply saying \u201c<\/span><i><span style=\"font-weight: 400;\">it is wrong<\/span><\/i><span style=\"font-weight: 400;\">\u201d, but we use them as a starting point:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u201c<\/span><i><span style=\"font-weight: 400;\">How did you think?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u201c<\/span><i><span style=\"font-weight: 400;\">What would you change?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u201c<\/span><i><span style=\"font-weight: 400;\">Is there another way?<\/span><\/i><span style=\"font-weight: 400;\">\u201d<\/span><\/p>\n<p><span style=\"font-weight: 400;\">These questions help us, as teachers, understand the thinking behind the mistake and, at the same time, help children clarify their thinking and avoid repeating the same errors.<\/span><\/p>\n<p><i><span style=\"font-weight: 400;\">We invite you to read the full article on the <\/span><\/i><a href=\"https:\/\/www.desprecopii.com\/info-id-38567-nm-Cum-invata-copiii-matematica-in-scoala-primara-dincolo-de-raspunsul-corect.htm\"><i><span style=\"font-weight: 400;\">Despre Copii<\/span><\/i><\/a><i><span style=\"font-weight: 400;\"> platform.<\/span><\/i><\/p>\n<p><i><span style=\"font-weight: 400;\">Avenor actively contributes to the conversation about education in Romania by promoting best practices and collaborating with relevant editorial partners in the field of education. We aim to bring greater clarity and perspective to the dialogue between schools and parents, supporting informed and responsible decisions regarding children\u2019s educational journeys. We invite you to stay connected to the latest articles published in the <\/span><\/i><a href=\"https:\/\/avenor.desprecopii.com\/\"><i><span style=\"font-weight: 400;\">Avenor x DESPRECOPII<\/span><\/i><\/a><i><span style=\"font-weight: 400;\"> section, a space dedicated to reflection and continuous learning for both parents and teachers.<\/span><\/i><\/p>\n<p>&nbsp;<\/p>\n<p><!--a=1--><\/p>\n<p><!--a=1--><\/p>\n<p><!--a=1--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>As a primary school teacher, one of the questions I hear most often in class, during maths lessons, is simple, but very profound: \u201cMiss, is this correct?\u201d Not \u201cwhy is it like this?\u201d, but \u201cis it correct?\u201d And from here, in fact, begins the conversation about how children learn mathematics. When \u201ccorrect\u201d becomes more important [&hellip;]<\/p>\n","protected":false},"author":44,"featured_media":46266,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[428],"tags":[],"class_list":["post-46267","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-school-life"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How children learn mathematics in primary school - beyond the right answer - 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\/how-children-learn-mathematics-in-primary-school-beyond-the-right-answer\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How children learn mathematics in primary school - beyond the right answer - Avenor\" \/>\n<meta property=\"og:description\" content=\"As a primary school teacher, one of the questions I hear most often in class, during maths lessons, is simple, but very profound: \u201cMiss, is this correct?\u201d Not \u201cwhy is it like this?\u201d, but \u201cis it correct?\u201d And from here, in fact, begins the conversation about how children learn mathematics. 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