To be able does not always mean to understand. “Explaining it with your words shows what you understood — a number that stops frightening when telling an understandable story: Mathematics to understand and decide” asks young people, families, teachers, workers, journalists and citizens to explain the daily use of mathematical thinking with their words to protect the possibility of estimating, comparing, detecting deceptions and explaining decisions more accurately and clarifying the risk of presenting mathematics as innate talent, humiliation or collection of meaningless formulas.
There is something powerful about looking at the everyday use of mathematical thinking from the explanation returned: it forces a huge conversation to go down to shopping, news, sports, kitchens, jobs, games and family decisions. There technology ceases to be an abstract promise.
Explaining it with your words shows how you understood it forces a simple idea: in mathematics for understanding and decision-making, the extraordinary is only valid if its consequences can be understood, discussed and corrected. In mathematics for understanding and decision-making, to look from the explanation returned protects the possibility of asking, representing, estimating, checking and explaining the reasoning. In “Explaining it with your words shows what you understood”, a surprising demonstration still does not amount to a reliable service or a fair institution.
Explaining it with your words shows how you understood
The scene of the explanation returned to the everyday use of mathematical thought could be this: all people nodded, but in explaining the agreement there appeared incompatible interpretations.
The diagnosis for mathematics for understanding and decision-making is necessary: silence was confused with shared understanding.
In “Explaining it with your words shows what you understood — a number that stops frightening when it tells an understandable story: Maths to understand and decide” it is best to separate four layers: what we know, what we infer, what we decide and what consequence we impose. A fact can be accurate and its interpretation wrong.
When studying the explanation returned, the voice of young people, families, teachers, workers, journalists and citizens does not come at the same time or contain the same knowledge. In “Explaining it with your words shows what you understood”, users, maintenance, care and management provide different knowledge that must be gathered. The analysis needs to gather those views.
By working “Explaining it with your words shows how you understood” in math to understand and decide, young people and adults can ask a decisive question: “What would have to happen to change your mind?”
In “Explaining it with your words shows what you understood”, the exception is not noise: show whether mathematics for understanding and decision-making takes care of the person when the procedure is no longer comfortable. For mathematics for understanding and decision-making, the analysis of the explanation returned requires that a case out of average active listening and review, does not suspect automatic. In mathematics for understanding and decision-making, an alternative that requires special contacts or shame is not really accessible.
Practical test: Mathematics to understand and decide
To convert “Explain it with your words shows what you understood” into a verifiable practice within mathematics for understanding and decision-making, the proposal is to ask for an explanation with your own words, compare differences and correct the message without examining. Before extending it by shopping, news, sports, kitchens, jobs, games and family decisions, it is appropriate to declare what result we expect, what harm would force to stop and who can make that decision without waiting for permission from the provider.
In “Explaining it with your words shows how you understood”, when studying mathematics for understanding and decision-making, observation begins with an honest photograph of the present: total time, errors, abandonments, claims and differences between groups.
Measuring the explanation returned in the everyday use of mathematical thought requires combining numbers and stories.
A decisive test for “Explaining it with your words shows what you understood” in mathematics for understanding and decision-making is to imagine a difficult Tuesday: someone is missing key, a connection falls, an urgent emergency arrives and an unanticipated case appears. It is a question of checking whether the instructions are still understandable and whether it is still possible to ask, represent, estimate, check and explain the reasoning when the perfect conditions disappear.
In mathematics for understanding and decision-making, think from the explanation returned and preserve an exit protects those with less resources, limits dependency and offers a real comparison on how much value technology provides and how much work it simply displaces.
The public explanation of the explanation returned to the daily use of mathematical thought can be found in six lines if the decision is ripe: purpose, information used, consequence, duration, responsibility and resource.
Responsibility: Mathematics for understanding and decision-making
In “Explaining it with your words shows what you understood”, responding requires real authority to pause, review and repair. In the everyday use of mathematical thinking, a supervision focused on the explanation returned cannot be limited to placing a person at the end of an automatic chain. Whoever responds in mathematics for understanding and decision-making needs proof, time, resources and permission to correct a decision.
For mothers, parents and teachers, accompanying the daily use of mathematical thinking from the explanation returned is not to know more technology than young people.
For schools, clubs and businesses, the math lesson to understand and decide observed from the explanation returned is the same: every tool organizes relationships.
A number that stops frightening when it tells an understandable story: from the explanation returned, the future truly impresses when an ordinary person can understand what changes, keep an exit and participate in the decision.
So that “explaining it with your words shows what you understood” in mathematics for understanding and decision-making not to end up in a statement, there are five questions: what problem do we solve?, what evidence would justify continuing?, who is left out?, who can stop it? and how will we repair?
Explaining in your own words should not feel like an exam.
