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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.
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Provide step-by-step instructions (i.e. illustrate steps to solving a mathematical problem) Encourage students to interact with a new problem or task (i.e. hands-on task that allows students to interact with materials and develop a "need to know") [44] Worked examples: A worked example is a step-by-step demonstration of a complex problem or ...
Problem-based learning is a similar pedagogic approach; however, problem-based approaches structure students' activities more by asking them to solve specific (open-ended) problems rather than relying on students to come up with their own problems in the course of completing a project. Another seemingly similar approach is quest-based learning ...
Chan and her team (the University of Hong Kong) (2017, [6] 2019 [7]): Holistic competency is an umbrella term inclusive of different types of generic skills (e.g. critical thinking, problem-solving skills), positive values, and attitudes (e.g. resilience, appreciation for others) which are essential for students' life-long learning and whole ...
The transition to verbal problem-solving does not occur until they become familiar with conventional symbols (p. 112). Mathematical knowledge during preschool predicts later school success. [ 1 ] [ 4 ] However, preschool and kindergarten students in low-income settings have been shown to have significantly less developed mathematical skills ...
In September 2014, a report was released by the American Institutes for Research on a three-year, quasi-experimental comparison of traditional and Deeper Learning schools. The research findings demonstrated the following improved student outcomes: students attending deeper learning network schools benefited from greater opportunities to engage ...
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