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The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
Problem-based learning (PBL) is a teaching method in which students learn about a subject through the experience of solving an open-ended problem found in trigger material. The PBL process does not focus on problem solving with a defined solution, but it allows for the development of other desirable skills and attributes.
Another definition of project-based learning includes a type of instruction where students work together to solve real-world problems in their schools and communities. This type of problem-solving often requires students to draw on lessons from several disciplines and apply them in a very practical way and the promise of seeing a very real ...
Transferable skills are those that are carried from the learning process into practical practice. These skills are believed to be vital to the academic success of a student as well as their ability to perform once in their post education employment roles. Examples of transferable skills include communication and problem-solving. [1]
Higher-order thinking, also known as higher order thinking skills (HOTS), [1] is a concept applied in relation to education reform and based on learning taxonomies (such as American psychologist Benjamin Bloom's taxonomy). The idea is that some types of learning require more cognitive processing than others, but also have more generalized benefits.
The former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles. [1] Another classification of problem-solving tasks is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current situation is ...
Future Problem Solving Program International (FPSPI), originally known as Future Problem Solving Program (FPSP), and often abbreviated to FPS, is a non-profit educational program that organizes academic competitions in which students apply critical thinking and problem-solving skills to hypothetical future situations. The program looks at ...
The Montessori method, developed by Maria Montessori, is an example of problem-posing education in an early childhood model. Ira Shor, a professor of Composition and Rhetoric at CUNY, who has worked closely with Freire, also advocates a problem posing model in his use of critical pedagogy. He has published on the use of contract grading, the ...