Some highlights:
While the U.S. spends
more per student than most countries, this does not translate into better
performance. For example, the Slovak Republic, which spends around USD 53 000 per student,
performs at the same level as the United States, which spends over
USD 115 000 per student.
Strengths
• Reading data
directly from tables and diagrams – requiring students only to understand a
short text and read single values directly from a representation provided such
as a table or a bar diagram
• Simple
handling of data from tables and diagrams – requiring students to understand a
short text, read two values from a given representation, and then perform some
straightforward operation such as adding or comparing the values
• Handling directly manageable formulae –
requiring students to use a formula provided, e.g. inserting numbers for
variables, and do some easy calculation. The formulae can be used directly,
without any re-structuring.
Weaknesses
• Use of the
number π (pi) – requiring students to make explicit use of the number π (pi) in a
calculation
• Substantial
mathematization of a real-world situation – requiring students to establish a
mathematical model of a given real-world situation in the form of a term or an
equation with variables for geometric or physical quantities, before further
actions (especially calculations) can take place. Students have to understand
the situation and activate and apply the appropriate mathematical content
• Genuine
interpretation of real-world aspects – requiring students to take a given
real-world situation seriously and properly interpret aspects of it
• Reasoning in
a geometric context – requiring authentic reasoning in a planar or spatial geometric
context by using geometric concepts and facts
• U.S.
students have particular problems with mathematical literacy tasks where the
students have to use the mathematics they have learned in a well-founded
manner. Given that even in more demanding tasks some basic skills are
nevertheless needed, an implication of the findings is that much more focus is
needed on higher-order activities, such as those involving mathematical
modeling (understanding real world situations, translating them into
mathematical models, and interpreting mathematical results), without neglecting
the basic skills needed for these activities
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