PISA - Program for International Student Assessment Mathematical Literacy Framework Questions and Answers — Questions and Answers
Question 1: According to the PISA 2022 Mathematical Literacy Framework, which of the following best defines mathematical literacy?
- The ability to perform complex calculations and recall advanced mathematical formulas.
- An individual's capacity to reason mathematically and to formulate, employ, and interpret mathematics to solve problems in a variety of real-world contexts. (Correct answer)
- The skill of using mathematical software and technology to solve abstract algebraic problems.
- A student's knowledge of theoretical mathematics, primarily in the domains of calculus and linear algebra.
Correct answer: An individual's capacity to reason mathematically and to formulate, employ, and interpret mathematics to solve problems in a variety of real-world contexts.
The PISA 2022 framework defines mathematical literacy as the ability to reason mathematically and apply mathematical concepts to solve real-world problems. This involves a cycle of formulating a situation mathematically, employing mathematical concepts and procedures, and interpreting the results in the original context.
Question 2: A student is presented with a news article containing graphs about a city's changing population over 50 years. They are asked to determine if the article's conclusion that 'population growth has been stable' is justified by the data. Which process of the mathematical problem-solving cycle is most prominently being assessed?
- Formulating situations mathematically
- Employing mathematical concepts, facts, procedures, and reasoning
- Interpreting, applying, and evaluating mathematical outcomes (Correct answer)
- Utilizing computational thinking skills
Correct answer: Interpreting, applying, and evaluating mathematical outcomes
This scenario requires the student to reflect upon the mathematical results (the graphs and the article's conclusion) and interpret them in the context of the real-life problem. They must evaluate whether the conclusion is reasonable based on the mathematical evidence, which is the core of the 'interpreting, applying, and evaluating' process.
Question 3: The PISA Mathematical Literacy Framework organizes mathematical content knowledge into four categories. Which of the following is NOT one of these categories?
- Quantity
- Uncertainty and data
- Change and relationships
- Algebra and functions (Correct answer)
Correct answer: Algebra and functions
The four content categories in the PISA 2022 Mathematical Literacy Framework are: Quantity, Uncertainty and data, Change and relationships, and Space and shape. While algebra and functions are important mathematical topics, they are integrated within these broader categories (especially 'Change and relationships') rather than standing as a separate top-level category.
Question 4: Which of the following scenarios best illustrates the PISA mathematical process of 'formulating situations mathematically'?
- Calculating the area of a complex geometric shape using a given formula.
- Explaining why a particular statistical model is a better fit for a dataset than another.
- Reading a real-world problem about designing a garden and identifying the key variables, constraints, and mathematical relationships needed to create a budget. (Correct answer)
- Using a calculator to find the final value of an investment with compound interest.
Correct answer: Reading a real-world problem about designing a garden and identifying the key variables, constraints, and mathematical relationships needed to create a budget.
'Formulating situations mathematically' involves translating a real-world problem into a mathematical structure. This includes identifying variables, recognizing mathematical relationships, and making simplifying assumptions to create a model that can be solved mathematically.
Question 5: The PISA 2022 framework places a strong emphasis on a central capability that underpins all three problem-solving processes. What is this central capability?
- Computational speed
- Mathematical reasoning (Correct answer)
- Memorization of facts
- Digital tool proficiency
Correct answer: Mathematical reasoning
The PISA 2022 framework highlights the centrality of mathematical reasoning to the entire problem-solving cycle and to mathematical literacy in general. It is defined as an individual's capacity to think logically and present arguments in convincing ways, and it is essential for formulating, employing, and interpreting mathematics.
Question 6: PISA assesses mathematical literacy within various real-world contexts. A question asking a student to analyze a household's monthly budget and make financial decisions would fall primarily under which context category?
- Scientific
- Occupational
- Societal
- Personal (Correct answer)
Correct answer: Personal
The four context categories are Personal, Occupational, Societal, and Scientific. A problem focused on an individual's or family's finances relates directly to one's private life and personal decision-making, which is the essence of the 'Personal' context.
PISA - Program for International Student Assessment Mathematical Literacy Framework Questions and Answers
According to the PISA 2022 Mathematical Literacy Framework, which of the following best defines mathematical literacy?