Problem solving is at the heart of mastering mathematics.Teaching for mastery involves holding problem solving as the ultimate aim of learning mathematics for every student, whatever their home background or prior attainment.
Therefore, the term “problem-solving” can be considered to include inquiry.
For students to understand both the question and ways of looking at the answer(s), resources such as historical accounts, literature, art, and eyewitness experiences must be used.
After all, problem solving is the focus of the mathematics curriculum.” inevitably equate to teaching by discovery, or inquiry-based learning.
Naturally, experience of solving problems is vital for success in problem solving, but Singapore’s commitment to problem solving does not result in problem solving taking centre stage every moment of every lesson.
In addition, each resource must be examined in light of what each different type of material contributes to the solution.
Critical literacy, or reading beyond the text, then, is a fundamental aspect of inquiry and so of problem-solving.
Search for critical literacy resources by using “critical literacy” and your grade level, and be sure to look at the tools provided in this text’s Teacher Toolbox. Problem-based learning (PBL) is a teaching approach that combines critical thinking, problem- solving skills, and inquiry as students explore real-world problems.
It is based on unstructured, complex, and authentic problems that are often presented as part of a project.
Understanding is necessary for deep learning and mastery.
Only with understanding can students be able to reason mathematically and apply mathematics to solve a range of problems.