Математическая грамотность. Минск: рикз, 2020. 252 с
Figure 1. Mathematical literacy: the relationship between mathematical reasoning and the
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2-ex pisa
| Figure 1. Mathematical literacy: the relationship between mathematical reasoning and the
problem solving (modelling) cycle. 27. In order for students to be mathematically literate they must be able, first to use their mathematics content knowledge to recognise the mathematical nature of a situation (problem) especially those situations encountered in the real world and then to formulate it in mathematical terms. This transformation – from an ambiguous, messy, real-world situation to a well-defined mathematics problem – requires mathematical reasoning. Once the transformation is successfully made, the resulting mathematical problem needs to be solved using the mathematics concepts, algorithms and procedures taught in schools. However, it may require the making of strategic decisions about the selection of those tools and the order of their application – this is also a manifestation of mathematical reasoning. Finally, the PISA definition reminds us of the need for the student to evaluate the mathematical solution by interpreting the results within the original real- world situation. Additionally, students should also possess and be able to demonstrate computational thinking skills as part of their problem-solving practice. These computational thinking skills which are applied in formulating, employing, evaluating and reasoning include pattern recognition, decomposition, determining which (if any) computing tools could be employed in the analysing or solving the problem, and defining algorithms as part of a detailed solution. 28. Although mathematical reasoning and solving real-world problems overlap, there is an aspect to mathematical reasoning which goes beyond solving practical problems. Mathematical reasoning is also a way of evaluating and making arguments, evaluating interpretations and inferences related to statements (e.g. in public policy debates etc.) and problem solutions that are, by their quantitative nature, best understood mathematically. 29. Mathematical literacy therefore comprises two related aspects: mathematical reasoning and problem solving. Mathematical literacy plays an important role in being able to use mathematics to solve real-world problems. In addition, mathematical reasoning (both deductive and inductive) also goes beyond solving real-world problems to include the making of informed judgements about that important family of societal issues which can be addressed mathematically. It also includes making 176 judgements about the validity of information that bombards individuals by means of considering their quantitative and logical, implications. It is here where mathematical reasoning also contributes to the development of a select set of 21st century skills (discussed elsewhere in the framework). 30. The outer circle of Figure 2 shows that mathematical literacy takes place in the context of a challenge or problem that arises in the real world. жүктеу/скачать 7,1 Mb. Достарыңызбен бөлісу:
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